## TSTP Solution File: SWV314-2 by E---3.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : E---3.0
% Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 13:16:13 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   39 (  13 unt;  24 typ;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  11   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   12 (   0 sgn   0   !;   0   ?;   0   :)

%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Oagent_OServer: \$i ).

tff(decl_23,type,
v_B: \$i ).

tff(decl_24,type,
v_NA: \$i ).

tff(decl_25,type,
v_A: \$i ).

tff(decl_26,type,
c_Public_OshrK: \$i > \$i ).

tff(decl_27,type,
v_K: \$i ).

tff(decl_28,type,
c_Message_Omsg_OKey: \$i > \$i ).

tff(decl_29,type,
c_Message_Omsg_OMPair: ( \$i * \$i ) > \$i ).

tff(decl_30,type,
c_Message_Omsg_OCrypt: ( \$i * \$i ) > \$i ).

tff(decl_31,type,
v_NB: \$i ).

tff(decl_32,type,
c_Event_Oevent_OSays: ( \$i * \$i * \$i ) > \$i ).

tff(decl_33,type,
v_evs: \$i ).

tff(decl_34,type,
tc_Event_Oevent: \$i ).

tff(decl_35,type,
c_List_Oset: ( \$i * \$i ) > \$i ).

tff(decl_36,type,
c_in: ( \$i * \$i * \$i ) > \$o ).

tff(decl_37,type,
c_Message_Oagent_OSpy: \$i ).

tff(decl_38,type,
c_Event_Oevent_ONotes: ( \$i * \$i ) > \$i ).

tff(decl_39,type,

tff(decl_40,type,
tc_Message_Oagent: \$i ).

tff(decl_41,type,
c_OtwayRees_Ootway: \$i ).

tff(decl_42,type,
tc_List_Olist: \$i > \$i ).

tff(decl_43,type,
c_Event_Oknows: ( \$i * \$i ) > \$i ).

tff(decl_44,type,
c_Message_Oanalz: \$i > \$i ).

tff(decl_45,type,
tc_Message_Omsg: \$i ).

cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom,
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).

cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_4,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_0_7,axiom,
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
cls_OtwayRees_Osecrecy__lemma__dest_0 ).

cnf(c_0_8,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_0 ).

cnf(c_0_9,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
cls_conjecture_5 ).

cnf(c_0_10,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_4 ).

cnf(c_0_11,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_1 ).

cnf(c_0_12,negated_conjecture,
cls_conjecture_2 ).

cnf(c_0_13,negated_conjecture,
cls_conjecture_3 ).

cnf(c_0_14,negated_conjecture,
\$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]),c_0_11]),c_0_12]),c_0_13]),
[proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Sep  4 02:37:36 EDT 2022
% 0.12/0.34  % CPUTime    :
% 0.19/0.49  Running first-order on 8 cores theorem proving
% 0.19/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  # Version: 3.0pre003
% 0.19/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # Starting sh5l with 300s (1) cores
% 0.19/0.50  # new_bool_1 with pid 25323 completed with status 0
% 0.19/0.50  # Result found by new_bool_1
% 0.19/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50  # ...ProofStateSinE()=7/7
% 0.19/0.50  # Search class: FGUNF-FFSS31-DFFFFFNN
% 0.19/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.50  # SAT001_MinMin_p005000_rr_RG with pid 25328 completed with status 0
% 0.19/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50  # ...ProofStateSinE()=7/7
% 0.19/0.50  # Search class: FGUNF-FFSS31-DFFFFFNN
% 0.19/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.50  # Preprocessing time       : 0.001 s
% 0.19/0.50  # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50  # Proof found!
% 0.19/0.50  # SZS status Unsatisfiable
% 0.19/0.50  # SZS output start CNFRefutation
% See solution above
% 0.19/0.50  # Parsed axioms                        : 7
% 0.19/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.50  # Initial clauses                      : 7
% 0.19/0.50  # Removed in clause preprocessing      : 0
% 0.19/0.50  # Initial clauses in saturation        : 7
% 0.19/0.50  # Processed clauses                    : 14
% 0.19/0.50  # ...of these trivial                  : 0
% 0.19/0.50  # ...subsumed                          : 0
% 0.19/0.50  # ...remaining for further processing  : 14
% 0.19/0.50  # Other redundant clauses eliminated   : 0
% 0.19/0.50  # Clauses deleted for lack of memory   : 0
% 0.19/0.50  # Backward-subsumed                    : 0
% 0.19/0.50  # Backward-rewritten                   : 0
% 0.19/0.50  # Generated clauses                    : 1
% 0.19/0.50  # ...of the previous two non-redundant : 0
% 0.19/0.50  # ...aggressively subsumed             : 0
% 0.19/0.50  # Contextual simplify-reflections      : 0
% 0.19/0.50  # Paramodulations                      : 1
% 0.19/0.50  # Factorizations                       : 0
% 0.19/0.50  # NegExts                              : 0
% 0.19/0.50  # Equation resolutions                 : 0
% 0.19/0.50  # Propositional unsat checks           : 0
% 0.19/0.50  #    Propositional check models        : 0
% 0.19/0.50  #    Propositional check unsatisfiable : 0
% 0.19/0.50  #    Propositional clauses             : 0
% 0.19/0.50  #    Propositional clauses after purity: 0
% 0.19/0.50  #    Propositional unsat core size     : 0
% 0.19/0.50  #    Propositional preprocessing time  : 0.000
% 0.19/0.50  #    Propositional encoding time       : 0.000
% 0.19/0.50  #    Propositional solver time         : 0.000
% 0.19/0.50  #    Success case prop preproc time    : 0.000
% 0.19/0.50  #    Success case prop encoding time   : 0.000
% 0.19/0.50  #    Success case prop solver time     : 0.000
% 0.19/0.50  # Current number of processed clauses  : 7
% 0.19/0.50  #    Positive orientable unit clauses  : 3
% 0.19/0.50  #    Positive unorientable unit clauses: 0
% 0.19/0.50  #    Negative unit clauses             : 3
% 0.19/0.50  #    Non-unit-clauses                  : 1
% 0.19/0.50  # Current number of unprocessed clauses: 0
% 0.19/0.50  # ...number of literals in the above   : 0
% 0.19/0.50  # Current number of archived formulas  : 0
% 0.19/0.50  # Current number of archived clauses   : 7
% 0.19/0.50  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.50  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.50  # Unit Clause-clause subsumption calls : 2
% 0.19/0.50  # Rewrite failures with RHS unbound    : 0
% 0.19/0.50  # BW rewrite match attempts            : 0
% 0.19/0.50  # BW rewrite match successes           : 0
% 0.19/0.50  # Condensation attempts                : 0
% 0.19/0.50  # Condensation successes               : 0
% 0.19/0.50  # Termbank termtop insertions          : 440
% 0.19/0.50
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.003 s
% 0.19/0.50  # System time              : 0.001 s
% 0.19/0.50  # Total time               : 0.004 s
% 0.19/0.50  # Maximum resident set size: 1600 pages
% 0.19/0.50
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.004 s
% 0.19/0.50  # System time              : 0.002 s
% 0.19/0.50  # Total time               : 0.006 s
% 0.19/0.50  # Maximum resident set size: 1712 pages
%------------------------------------------------------------------------------
```