## TSTP Solution File: SYN367+1 by SNARK---20120808r022

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 11:59:47 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   1 nHn;   4 RR)
%            Number of literals    :    9 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   3 sgn)

%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( p
| big_r(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2118) ).

cnf(2,negated_conjecture,
( big_q(X)
| ~ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2118) ).

cnf(4,negated_conjecture,
~ big_q('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2118) ).

cnf(5,negated_conjecture,
~ big_r('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2118) ).

cnf(6,plain,
p,
inference('HYPERRESOLVE',[status(thm)],[5,1]) ).

cnf(7,plain,
big_q(X),
inference('REWRITE',[status(thm)],[2,6]) ).

cnf(8,plain,
\$false,
inference('REWRITE',[status(thm)],[4,7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.11  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jul 11 15:12:10 EDT 2022
% 0.11/0.32  % CPUTime  :
% 0.18/0.43  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  *
% 0.18/0.44  *
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  *
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  *
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  *
% 0.18/0.45  "."
% 0.18/0.45  *
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T15:12:10
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T15:12:10
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47  #||
% 0.18/0.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  % SZS output start Refutation
% See solution above
% 0.18/0.47  ||#
% 0.18/0.47
% 0.18/0.47  ; Summary of computation:
% 0.18/0.47  ;         9 formulas have been input or derived (from 4 formulas).
% 0.18/0.47  ;         8 (89%) were retained.  Of these,
% 0.18/0.47  ;            4 (50%) were simplified or subsumed later,
% 0.18/0.47  ;            4 (50%) are still being kept.
% 0.18/0.47  ;
% 0.18/0.47  ; Run time in seconds excluding printing time:
% 0.18/0.47  ;     0.001   4%   Read assertion file          (1 call)
% 0.18/0.47  ;     0.000   0%   Assert                       (1 call)
% 0.18/0.47  ;     0.001   4%   Process new row              (8 calls)
% 0.18/0.48  ;     0.001   4%   Resolution                   (6 calls)
% 0.18/0.48  ;     0.000   0%   Paramodulation               (3 calls)
% 0.18/0.48  ;     0.000   0%   Factoring                    (1 call)
% 0.18/0.48  ;     0.000   0%   Condensing                   (3 calls)
% 0.18/0.48  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.18/0.48  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.18/0.48  ;     0.000   0%   Forward simplification       (8 calls)
% 0.18/0.48  ;     0.000   0%   Backward simplification      (8 calls)
% 0.18/0.48  ;     0.000   0%   Ordering                     (4 calls)
% 0.18/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.48  ;     0.021  88%   Other
% 0.18/0.48  ;     0.024        Total
% 0.18/0.48  ;     0.026        Real time
% 0.18/0.48  ;
% 0.18/0.48  ; Term-hash-array has 4 terms in all.
% 0.18/0.48  ; Feature-vector-row-index has 0 entries (3 at peak, 3 added, 3 deleted).
% 0.18/0.48  ; Feature-vector-row-index has 1 node (9 at peak, 9 added, 8 deleted).
% 0.18/0.48  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.18/0.48  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.18/0.48  ; Path-index has 4 entries (7 at peak, 7 added, 3 deleted).
% 0.18/0.48  ; Path-index has 7 nodes (10 at peak, 10 added, 3 deleted).
% 0.18/0.48  ; Trie-index has 4 entries (7 at peak, 7 added, 3 deleted).
% 0.18/0.48  ; Trie-index has 7 nodes (10 at peak, 10 added, 3 deleted).
% 0.18/0.48  ; Retrieved 0 generalization terms in 1 call.
% 0.18/0.48  ; Retrieved 5 instance terms in 4 calls.
% 0.18/0.48  ; Retrieved 9 unifiable terms in 11 calls.
% 0.18/0.48  ;
% 0.18/0.48  ; The agenda of input rows to give has 1 entry:
% 0.18/0.48  ;     1 with value 3
% 0.18/0.48  ; The agenda of rows to give has 1 entry:
% 0.18/0.48  ;     1 with value (4 2)
% 0.18/0.48  Evaluation took:
% 0.18/0.48    0.026 seconds of real time
% 0.18/0.48    0.021104 seconds of user run time
% 0.18/0.48    0.004722 seconds of system run time
% 0.18/0.48    0 calls to %EVAL
% 0.18/0.48    0 page faults and
% 0.18/0.48    1,436,600 bytes consed.
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T15:12:10
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  *
%------------------------------------------------------------------------------
```