## TSTP Solution File: SYN969+1 by E---3.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : E---3.0
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 21:58:56 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   25 (   8   ~;   4   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn   8   !;   0   ?;   0   :)

%------------------------------------------------------------------------------
tff(decl_22,type,
p: \$i > \$o ).

tff(decl_23,type,
q: \$i > \$o ).

tff(decl_24,type,
r: \$i > \$o ).

tff(decl_25,type,
esk1_0: \$i ).

fof(prove_this,conjecture,
! [X1] :
( ( ! [X2] :
( p(X2)
=> q(X2) )
& r(X1) )
=> ( ! [X3] :
( r(X3)
=> p(X3) )
=> q(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ( ! [X2] :
( p(X2)
=> q(X2) )
& r(X1) )
=> ( ! [X3] :
( r(X3)
=> p(X3) )
=> q(X1) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
! [X5,X6] :
( ( ~ p(X5)
| q(X5) )
& r(esk1_0)
& ( ~ r(X6)
| p(X6) )
& ~ q(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
~ q(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
( q(X1)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
~ p(esk1_0),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
( p(X1)
| ~ r(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
r(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
\$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Sep  5 09:30:21 EDT 2022
% 0.11/0.33  % CPUTime    :
% 0.18/0.45  Running first-order on 8 cores theorem proving
% 0.18/0.45  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
% 0.18/0.45  # Version: 3.0pre003
% 0.18/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.45  # Starting sh5l with 300s (1) cores
% 0.18/0.45  # new_bool_3 with pid 30667 completed with status 0
% 0.18/0.45  # Result found by new_bool_3
% 0.18/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45  # ...ProofStateSinE()=1/1
% 0.18/0.45  # Search class: FHUNF-FFSF00-SFFFFFNN
% 0.18/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.45  # SAT001_MinMin_p005000_rr_RG with pid 30672 completed with status 0
% 0.18/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45  # ...ProofStateSinE()=1/1
% 0.18/0.45  # Search class: FHUNF-FFSF00-SFFFFFNN
% 0.18/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.45  # Preprocessing time       : 0.001 s
% 0.18/0.45  # Presaturation interreduction done
% 0.18/0.45
% 0.18/0.45  # Proof found!
% 0.18/0.45  # SZS status Theorem
% 0.18/0.45  # SZS output start CNFRefutation
% See solution above
% 0.18/0.45  # Parsed axioms                        : 1
% 0.18/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.45  # Initial clauses                      : 4
% 0.18/0.45  # Removed in clause preprocessing      : 0
% 0.18/0.45  # Initial clauses in saturation        : 4
% 0.18/0.45  # Processed clauses                    : 9
% 0.18/0.45  # ...of these trivial                  : 0
% 0.18/0.45  # ...subsumed                          : 0
% 0.18/0.45  # ...remaining for further processing  : 9
% 0.18/0.45  # Other redundant clauses eliminated   : 0
% 0.18/0.45  # Clauses deleted for lack of memory   : 0
% 0.18/0.45  # Backward-subsumed                    : 0
% 0.18/0.45  # Backward-rewritten                   : 0
% 0.18/0.45  # Generated clauses                    : 2
% 0.18/0.45  # ...of the previous two non-redundant : 1
% 0.18/0.45  # ...aggressively subsumed             : 0
% 0.18/0.45  # Contextual simplify-reflections      : 0
% 0.18/0.45  # Paramodulations                      : 2
% 0.18/0.45  # Factorizations                       : 0
% 0.18/0.45  # NegExts                              : 0
% 0.18/0.45  # Equation resolutions                 : 0
% 0.18/0.45  # Propositional unsat checks           : 0
% 0.18/0.45  #    Propositional check models        : 0
% 0.18/0.45  #    Propositional check unsatisfiable : 0
% 0.18/0.45  #    Propositional clauses             : 0
% 0.18/0.45  #    Propositional clauses after purity: 0
% 0.18/0.45  #    Propositional unsat core size     : 0
% 0.18/0.45  #    Propositional preprocessing time  : 0.000
% 0.18/0.45  #    Propositional encoding time       : 0.000
% 0.18/0.45  #    Propositional solver time         : 0.000
% 0.18/0.45  #    Success case prop preproc time    : 0.000
% 0.18/0.45  #    Success case prop encoding time   : 0.000
% 0.18/0.45  #    Success case prop solver time     : 0.000
% 0.18/0.45  # Current number of processed clauses  : 5
% 0.18/0.45  #    Positive orientable unit clauses  : 1
% 0.18/0.45  #    Positive unorientable unit clauses: 0
% 0.18/0.45  #    Negative unit clauses             : 2
% 0.18/0.45  #    Non-unit-clauses                  : 2
% 0.18/0.45  # Current number of unprocessed clauses: 0
% 0.18/0.45  # ...number of literals in the above   : 0
% 0.18/0.45  # Current number of archived formulas  : 0
% 0.18/0.45  # Current number of archived clauses   : 4
% 0.18/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.18/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.18/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.45  # Unit Clause-clause subsumption calls : 0
% 0.18/0.45  # Rewrite failures with RHS unbound    : 0
% 0.18/0.45  # BW rewrite match attempts            : 0
% 0.18/0.45  # BW rewrite match successes           : 0
% 0.18/0.45  # Condensation attempts                : 0
% 0.18/0.45  # Condensation successes               : 0
% 0.18/0.45  # Termbank termtop insertions          : 237
% 0.18/0.45
% 0.18/0.45  # -------------------------------------------------
% 0.18/0.45  # User time                : 0.002 s
% 0.18/0.45  # System time              : 0.001 s
% 0.18/0.45  # Total time               : 0.003 s
% 0.18/0.45  # Maximum resident set size: 1592 pages
% 0.18/0.45
% 0.18/0.45  # -------------------------------------------------
% 0.18/0.45  # User time                : 0.004 s
% 0.18/0.45  # System time              : 0.002 s
% 0.18/0.45  # Total time               : 0.006 s
% 0.18/0.45  # Maximum resident set size: 1688 pages
%------------------------------------------------------------------------------
```