TSTP Solution File: COM022+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM022+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : Fri Jul 15 01:42:46 EDT 2022
% Result : Theorem 26.86s 27.17s
% Output : Refutation 26.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 31 ( 18 unt; 2 nHn; 31 RR)
% Number of literals : 58 ( 7 equ; 34 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| sdtmndtasgtdt0(X,Y,Z)
| X != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
cnf(11,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| ~ aElement0(U)
| ~ sdtmndtasgtdt0(X,Y,Z)
| ~ sdtmndtasgtdt0(Z,Y,U)
| sdtmndtasgtdt0(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).
cnf(40,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
cnf(57,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(58,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(59,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(704,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| aElement0('SKOLEMAABF27') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(716,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xb,xR,'SKOLEMAABF27') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(721,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xc,xR,'SKOLEMAABF27') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(725,negated_conjecture,
( xa = xb
| sdtmndtplgtdt0(xa,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(726,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(730,negated_conjecture,
( xa = xc
| sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(731,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(736,negated_conjecture,
( ~ aElement0(X)
| xb != X
| ~ sdtmndtasgtdt0(xc,xR,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(752,negated_conjecture,
( ~ aElement0(X)
| ~ sdtmndtasgtdt0(xb,xR,X)
| xc != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(756,negated_conjecture,
( ~ aElement0(X)
| ~ sdtmndtasgtdt0(xb,xR,X)
| ~ sdtmndtasgtdt0(xc,xR,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(763,plain,
~ sdtmndtasgtdt0(xc,xR,xb),
inference('UR-RESOLVE',[status(thm)],[736,58,theory(equality)]) ).
cnf(766,plain,
~ sdtmndtasgtdt0(xb,xR,xc),
inference('UR-RESOLVE',[status(thm)],[752,59,theory(equality)]) ).
cnf(1006,plain,
~ sdtmndtasgtdt0(xc,xR,xa),
inference('UR-RESOLVE',[status(thm)],[11,763,59,40,57,58,726]) ).
cnf(1008,plain,
~ sdtmndtasgtdt0(xb,xR,xa),
inference('UR-RESOLVE',[status(thm)],[11,766,58,40,57,59,731]) ).
cnf(1012,plain,
xa != xc,
inference('UR-RESOLVE',[status(thm)],[9,1006,59,40,57]) ).
cnf(1016,plain,
sdtmndtplgtdt0(xa,xR,xc),
inference('REWRITE',[status(thm)],[730,1012]) ).
cnf(1128,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| aElement0('SKOLEMAABF27') ),
inference('REWRITE',[status(thm)],[704,1016]) ).
cnf(1140,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| sdtmndtasgtdt0(xb,xR,'SKOLEMAABF27') ),
inference('REWRITE',[status(thm)],[716,1016]) ).
cnf(1145,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| sdtmndtasgtdt0(xc,xR,'SKOLEMAABF27') ),
inference('REWRITE',[status(thm)],[721,1016]) ).
cnf(1244,plain,
xa != xb,
inference('UR-RESOLVE',[status(thm)],[9,1008,58,40,57]) ).
cnf(1248,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference('REWRITE',[status(thm)],[725,1244]) ).
cnf(1274,plain,
aElement0('SKOLEMAABF27'),
inference('REWRITE',[status(thm)],[1128,1248]) ).
cnf(1286,plain,
sdtmndtasgtdt0(xb,xR,'SKOLEMAABF27'),
inference('REWRITE',[status(thm)],[1140,1248]) ).
cnf(1291,plain,
sdtmndtasgtdt0(xc,xR,'SKOLEMAABF27'),
inference('REWRITE',[status(thm)],[1145,1248]) ).
cnf(1483,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[756,1286,1274]),1291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM022+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 20:26:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 *
% 0.21/0.51 *
% 0.21/0.52 #<PACKAGE "SNARK-USER">
% 0.21/0.52 *
% 0.21/0.52 SNARK-TPTP-OPTIONS
% 0.21/0.52 *
% 0.21/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52 (USE-FACTORING :POS)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52 *
% 0.21/0.52 "."
% 0.21/0.52 *
% 0.21/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:26:05
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-16T20:26:05
% 26.86/27.17
% 26.86/27.17
% 26.86/27.17 #||
% 26.86/27.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.86/27.17 % SZS output start Refutation
% See solution above
% 26.86/27.18 ||#
% 26.86/27.18
% 26.86/27.18 ; Summary of computation:
% 26.86/27.18 ; 1959 formulas have been input or derived (from 921 formulas).
% 26.86/27.18 ; 1483 (76%) were retained. Of these,
% 26.86/27.18 ; 827 (56%) were simplified or subsumed later,
% 26.86/27.18 ; 656 (44%) are still being kept.
% 26.86/27.18 ;
% 26.86/27.18 ; Run time in seconds excluding printing time:
% 26.86/27.18 ; 0.020 0% Read assertion file (1 call)
% 26.86/27.18 ; 0.022 0% Assert (19 calls)
% 26.86/27.18 ; 0.178 1% Process new row (1,852 calls)
% 26.86/27.18 ; 25.794 97% Resolution (1,840 calls)
% 26.86/27.18 ; 0.031 0% Paramodulation (920 calls)
% 26.86/27.18 ; 0.000 0% Factoring (11 calls)
% 26.86/27.18 ; 0.016 0% Condensing (1,594 calls)
% 26.86/27.18 ; 0.150 1% Forward subsumption (1,594 calls)
% 26.86/27.18 ; 0.119 0% Backward subsumption (1,375 calls)
% 26.86/27.18 ; 0.030 0% Clause clause subsumption (4,865 calls)
% 26.90/27.18 ; 0.065 0% Forward simplification (1,852 calls)
% 26.90/27.18 ; 0.027 0% Backward simplification (1,483 calls)
% 26.90/27.18 ; 0.015 0% Ordering (9,771 calls)
% 26.90/27.18 ; 0.000 0% Sortal reasoning (32 calls)
% 26.90/27.18 ; 0.004 0% Purity testing (1 call)
% 26.90/27.18 ; 0.065 0% Other
% 26.90/27.18 ; 26.536 Total
% 26.90/27.18 ; 26.658 Real time
% 26.90/27.18 ;
% 26.90/27.18 ; Term-hash-array has 571 terms in all.
% 26.90/27.18 ; Feature-vector-row-index has 548 entries (858 at peak, 1,375 added, 827 deleted).
% 26.90/27.18 ; Feature-vector-row-index has 2,111 nodes (4,352 at peak, 7,664 added, 5,553 deleted).
% 26.90/27.18 ; Retrieved 3,599 possibly forward subsuming rows in 1,594 calls.
% 26.90/27.18 ; Retrieved 3,028 possibly backward subsumed rows in 1,375 calls.
% 26.90/27.18 ; Path-index has 581 entries (581 at peak, 766 added, 185 deleted).
% 26.90/27.18 ; Path-index has 679 nodes (679 at peak, 795 added, 116 deleted).
% 26.90/27.18 ; Trie-index has 581 entries (581 at peak, 766 added, 185 deleted).
% 26.90/27.18 ; Trie-index has 1,270 nodes (1,270 at peak, 1,667 added, 397 deleted).
% 26.90/27.18 ; Retrieved 149 generalization terms in 4,927 calls.
% 26.90/27.18 ; Retrieved 108 instance terms in 107 calls.
% 26.90/27.18 ; Retrieved 20,285,442 unifiable terms in 2,246,032 calls.
% 26.90/27.18 ;
% 26.90/27.18 ; The agenda of rows to process has 8 entries:
% 26.90/27.18 ; 2 with value 6 1 with value 8 1 with value 14
% 26.90/27.18 ; 3 with value 7 1 with value 10
% 26.90/27.18 ; The agenda of input rows to give has 32 entries:
% 26.90/27.18 ; 2 with value 5 6 with value 9 6 with value 12
% 26.90/27.18 ; 2 with value 8 4 with value 10 12 with value 14
% 26.90/27.18 ; The agenda of rows to give has 227 entries:
% 26.90/27.18 ; 4 with value (4 5) 14 with value (4 13) 8 with value (4 24)
% 26.90/27.18 ; 23 with value (4 6) 8 with value (4 14) 14 with value (4 25)
% 26.90/27.18 ; 9 with value (4 7) 10 with value (4 15) 8 with value (4 26)
% 26.90/27.18 ; 8 with value (4 8) 10 with value (4 16) 14 with value (4 27)
% 26.90/27.18 ; 16 with value (4 9) 1 with value (4 17) 4 with value (4 28)
% 26.90/27.18 ; 14 with value (4 10) 10 with value (4 19) 12 with value (4 29)
% 26.90/27.18 ; 6 with value (4 11) 12 with value (4 22) 4 with value (4 30)
% 26.90/27.18 ; 12 with value (4 12) 2 with value (4 23) 4 with value (4 32)
% 26.90/27.18 Evaluation took:
% 26.90/27.18 26.659 seconds of real time
% 26.90/27.18 26.397127 seconds of user run time
% 26.90/27.18 0.142664 seconds of system run time
% 26.90/27.18 [Run times include 0.477 seconds GC run time.]
% 26.90/27.18 0 calls to %EVAL
% 26.90/27.18 0 page faults and
% 26.90/27.18 1,105,072,528 bytes consed.
% 26.90/27.18 :PROOF-FOUND
% 26.90/27.18 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:26:31
% 26.90/27.18 :PROOF-FOUND
% 26.90/27.18 *
%------------------------------------------------------------------------------