TSTP Solution File: COM022+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM022+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 0.47s 0.68s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 37 ( 22 unt; 3 nHn; 37 RR)
% Number of literals : 71 ( 6 equ; 38 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| ~ sdtmndtasgtdt0(X,Y,Z)
| X = Z
| sdtmndtplgtdt0(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
cnf(9,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| sdtmndtasgtdt0(X,Y,Z)
| X != Z ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
cnf(35,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aNormalFormOfIn0(Z,X,Y)
| aElement0(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
cnf(40,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
cnf(43,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
cnf(44,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
cnf(45,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
cnf(55,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| aElement0('SKOLEMAAAU17') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(58,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| aNormalFormOfIn0('SKOLEMAAAU18','SKOLEMAAAU17',xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(59,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xb,xR,'SKOLEMAAAU18') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(60,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xc,xR,'SKOLEMAAAU18') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(61,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(62,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(63,negated_conjecture,
( ~ aElement0(X)
| ~ sdtmndtasgtdt0(xb,xR,X)
| ~ sdtmndtasgtdt0(xc,xR,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(72,plain,
sdtmndtasgtdt0(xc,xR,xc),
inference('HYPERRESOLVE',[status(thm)],[9,45,40,45,theory(equality)]) ).
cnf(73,plain,
sdtmndtasgtdt0(xb,xR,xb),
inference('HYPERRESOLVE',[status(thm)],[9,44,40,44,theory(equality)]) ).
cnf(75,plain,
( xa = xc
| sdtmndtplgtdt0(xa,xR,xc) ),
inference('HYPERRESOLVE',[status(thm)],[8,43,40,45,62]) ).
cnf(76,plain,
( xa = xb
| sdtmndtplgtdt0(xa,xR,xb) ),
inference('HYPERRESOLVE',[status(thm)],[8,43,40,44,61]) ).
cnf(79,plain,
~ sdtmndtasgtdt0(xb,xR,xc),
inference('UR-RESOLVE',[status(thm)],[63,72,45]) ).
cnf(81,plain,
~ sdtmndtasgtdt0(xc,xR,xb),
inference('UR-RESOLVE',[status(thm)],[63,73,44]) ).
cnf(87,plain,
~ sdtmndtasgtdt0(xb,xR,xa),
inference('UR-RESOLVE',[status(thm)],[11,79,44,40,43,45,62]) ).
cnf(90,plain,
~ sdtmndtasgtdt0(xc,xR,xa),
inference('UR-RESOLVE',[status(thm)],[11,81,45,40,43,44,61]) ).
cnf(92,plain,
xa != xb,
inference('UR-RESOLVE',[status(thm)],[9,87,44,40,43]) ).
cnf(93,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference('REWRITE',[status(thm)],[76,92]) ).
cnf(100,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| aElement0('SKOLEMAAAU17') ),
inference('REWRITE',[status(thm)],[55,93]) ).
cnf(103,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| aNormalFormOfIn0('SKOLEMAAAU18','SKOLEMAAAU17',xR) ),
inference('REWRITE',[status(thm)],[58,93]) ).
cnf(104,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xb,xR,'SKOLEMAAAU18') ),
inference('REWRITE',[status(thm)],[59,93]) ).
cnf(105,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xc,xR,'SKOLEMAAAU18') ),
inference('REWRITE',[status(thm)],[60,93]) ).
cnf(117,plain,
xa != xc,
inference('UR-RESOLVE',[status(thm)],[9,90,45,40,43]) ).
cnf(118,plain,
sdtmndtplgtdt0(xa,xR,xc),
inference('REWRITE',[status(thm)],[75,117]) ).
cnf(125,plain,
aElement0('SKOLEMAAAU17'),
inference('REWRITE',[status(thm)],[100,118]) ).
cnf(128,plain,
aNormalFormOfIn0('SKOLEMAAAU18','SKOLEMAAAU17',xR),
inference('REWRITE',[status(thm)],[103,118]) ).
cnf(129,plain,
sdtmndtasgtdt0(xb,xR,'SKOLEMAAAU18'),
inference('REWRITE',[status(thm)],[104,118]) ).
cnf(130,plain,
sdtmndtasgtdt0(xc,xR,'SKOLEMAAAU18'),
inference('REWRITE',[status(thm)],[105,118]) ).
cnf(165,plain,
aElement0('SKOLEMAAAU18'),
inference('HYPERRESOLVE',[status(thm)],[35,128,125,40]) ).
cnf(168,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[63,130,129]),165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 : Thu Jun 16 19:54:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:54:09
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-16T19:54:09
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 #||
% 0.47/0.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.68 % SZS output start Refutation
% See solution above
% 0.47/0.69 ||#
% 0.47/0.69
% 0.47/0.69 ; Summary of computation:
% 0.47/0.69 ; 282 formulas have been input or derived (from 102 formulas).
% 0.47/0.69 ; 168 (60%) were retained. Of these,
% 0.47/0.69 ; 27 (16%) were simplified or subsumed later,
% 0.47/0.69 ; 141 (84%) are still being kept.
% 0.47/0.69 ;
% 0.47/0.69 ; Run time in seconds excluding printing time:
% 0.47/0.69 ; 0.007 3% Read assertion file (1 call)
% 0.47/0.69 ; 0.003 1% Assert (19 calls)
% 0.47/0.69 ; 0.011 5% Process new row (237 calls)
% 0.47/0.69 ; 0.145 72% Resolution (202 calls)
% 0.47/0.69 ; 0.002 1% Paramodulation (101 calls)
% 0.47/0.69 ; 0.000 0% Condensing (90 calls)
% 0.47/0.69 ; 0.004 2% Forward subsumption (90 calls)
% 0.47/0.69 ; 0.000 0% Backward subsumption (90 calls)
% 0.47/0.69 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.47/0.69 ; 0.005 2% Forward simplification (237 calls)
% 0.47/0.69 ; 0.002 1% Backward simplification (168 calls)
% 0.47/0.69 ; 0.000 0% Ordering (19 calls)
% 0.47/0.69 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.69 ; 0.000 0% Purity testing (1 call)
% 0.47/0.69 ; 0.022 11% Other
% 0.47/0.69 ; 0.201 Total
% 0.47/0.69 ; 0.217 Real time
% 0.47/0.69 ;
% 0.47/0.69 ; Term-hash-array has 203 terms in all.
% 0.47/0.69 ; Feature-vector-row-index has 63 entries (69 at peak, 90 added, 27 deleted).
% 0.47/0.69 ; Feature-vector-row-index has 265 nodes (299 at peak, 449 added, 184 deleted).
% 0.47/0.69 ; Retrieved 8 possibly forward subsuming rows in 90 calls.
% 0.47/0.69 ; Retrieved 4 possibly backward subsumed rows in 90 calls.
% 0.47/0.69 ; Path-index has 211 entries (211 at peak, 245 added, 34 deleted).
% 0.47/0.69 ; Path-index has 353 nodes (353 at peak, 385 added, 32 deleted).
% 0.47/0.69 ; Trie-index has 211 entries (211 at peak, 245 added, 34 deleted).
% 0.47/0.69 ; Trie-index has 453 nodes (453 at peak, 511 added, 58 deleted).
% 0.47/0.69 ; Retrieved 67 generalization terms in 211 calls.
% 0.47/0.69 ; Retrieved 77 instance terms in 77 calls.
% 0.47/0.69 ; Retrieved 114,372 unifiable terms in 24,725 calls.
% 0.47/0.69 ;
% 0.47/0.69 ; The agenda of rows to give has 63 entries:
% 0.47/0.69 ; 1 with value (4 4) 11 with value (4 10) 7 with value (4 14)
% 0.47/0.69 ; 12 with value (4 6) 1 with value (4 11) 2 with value (4 15)
% 0.47/0.69 ; 8 with value (4 8) 2 with value (4 12) 2 with value (4 16)
% 0.47/0.69 ; 17 with value (4 9)
% 0.47/0.69 Evaluation took:
% 0.47/0.69 0.218 seconds of real time
% 0.47/0.69 0.194126 seconds of user run time
% 0.47/0.69 0.0139 seconds of system run time
% 0.47/0.69 [Run times include 0.005 seconds GC run time.]
% 0.47/0.69 0 calls to %EVAL
% 0.47/0.69 0 page faults and
% 0.47/0.69 14,486,976 bytes consed.
% 0.47/0.69 :PROOF-FOUND
% 0.47/0.69 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:54:09
% 0.47/0.69 :PROOF-FOUND
% 0.47/0.69 *
%------------------------------------------------------------------------------