## TSTP Solution File: SYN721+1 by SNARK---20120808r022

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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  : 600s
% DateTime : Thu Jul 21 12:02:46 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    7 (   4 sgn)

%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
r(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1) ).

cnf(2,negated_conjecture,
( ~ r(X,Y)
| q(X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1) ).

cnf(3,negated_conjecture,
( ~ q(X,Y)
| r(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1) ).

cnf(4,negated_conjecture,
( ~ r(b,X)
| ~ q(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1) ).

cnf(5,plain,
q(a,a),
inference('HYPERRESOLVE',[status(thm)],[2,1]) ).

cnf(6,plain,
r(X,a),
inference('HYPERRESOLVE',[status(thm)],[3,5]) ).

cnf(7,plain,
\$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,5]),6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 20:54:13 EDT 2022
% 0.13/0.34  % CPUTime  :
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  *
% 0.19/0.47  *
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  *
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  *
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  *
% 0.19/0.48  "."
% 0.19/0.48  *
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:54:13
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-11T20:54:13
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50
% 0.19/0.50  ; Summary of computation:
% 0.19/0.51  ;         9 formulas have been input or derived (from 6 formulas).
% 0.19/0.51  ;         7 (78%) were retained.  Of these,
% 0.19/0.51  ;            7 (100%) are still being kept.
% 0.19/0.51  ;
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   4%   Assert                       (1 call)
% 0.19/0.51  ;     0.001   4%   Process new row              (7 calls)
% 0.19/0.51  ;     0.000   0%   Resolution                   (10 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (5 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (3 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (7 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (7 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.022  88%   Other
% 0.19/0.51  ;     0.025        Total
% 0.19/0.51  ;     0.026        Real time
% 0.19/0.51  ;
% 0.19/0.51  ; Term-hash-array has 9 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.51  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.51  ; Path-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.19/0.51  ; Path-index has 19 nodes (19 at peak, 19 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 17 nodes (17 at peak, 17 added, 0 deleted).
% 0.19/0.51  ; Retrieved 1 generalization term in 5 calls.
% 0.19/0.51  ; Retrieved 3 instance terms in 3 calls.
% 0.19/0.51  ; Retrieved 31 unifiable terms in 24 calls.
% 0.19/0.51  ;
% 0.19/0.51  ; The agenda of rows to give has 1 entry:
% 0.19/0.51  ;     1 with value (4 6)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.027 seconds of real time
% 0.19/0.51    0.021913 seconds of user run time
% 0.19/0.51    0.004797 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    1,497,840 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:54:13
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  *
%------------------------------------------------------------------------------
```