TSTP Solution File: SWC257+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC257+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 : Tue Jul 19 21:57:49 EDT 2022
% Result : Theorem 162.33s 162.52s
% Output : Refutation 162.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of clauses : 34 ( 19 unt; 11 nHn; 34 RR)
% Number of literals : 64 ( 18 equ; 22 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(50,axiom,
( ~ ssList(X)
| ~ totalorderedP(X)
| ~ ssItem(Y)
| ~ ssItem(Z)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| app(app(U,cons(Y,V)),cons(Z,W)) != X
| leq(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(51,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssItem('SKOLEMAAAV25'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(52,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssItem('SKOLEMAAAV26'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(53,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAV27'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(54,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAV28'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(55,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAV29'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(56,axiom,
( ~ ssList(X)
| totalorderedP(X)
| app(app('SKOLEMAAAV27'(X),cons('SKOLEMAAAV25'(X),'SKOLEMAAAV28'(X))),cons('SKOLEMAAAV26'(X),'SKOLEMAAAV29'(X))) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(57,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ~ leq('SKOLEMAAAV25'(X),'SKOLEMAAAV26'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(146,axiom,
( ~ ssItem(X)
| totalorderedP(cons(X,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
cnf(147,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
cnf(170,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| cons(Y,X) = app(cons(Y,nil),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
cnf(188,negated_conjecture,
ssList('SKOLEMAAAV48'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
~ totalorderedP('SKOLEMAAAV48'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(197,negated_conjecture,
( ssItem('SKOLEMAAAV52')
| nil = 'SKOLEMAAAV50' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
( ssItem('SKOLEMAAAV52')
| nil = 'SKOLEMAAAV48' ),
inference('REWRITE',[status(thm)],[197,193,theory(equality)]) ).
cnf(201,negated_conjecture,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
| nil = 'SKOLEMAAAV50' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(202,plain,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48'
| nil = 'SKOLEMAAAV48' ),
inference('REWRITE',[status(thm)],[201,193,theory(equality)]) ).
cnf(252,plain,
( nil = 'SKOLEMAAAV48'
| totalorderedP(cons('SKOLEMAAAV52',nil)) ),
inference('HYPERRESOLVE',[status(thm)],[146,198]) ).
cnf(301,plain,
ssItem('SKOLEMAAAV25'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[51,188,194]) ).
cnf(303,plain,
ssItem('SKOLEMAAAV26'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[52,188,194]) ).
cnf(305,plain,
ssList('SKOLEMAAAV27'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[53,188,194]) ).
cnf(307,plain,
ssList('SKOLEMAAAV28'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[54,188,194]) ).
cnf(309,plain,
ssList('SKOLEMAAAV29'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[55,188,194]) ).
cnf(371,plain,
~ leq('SKOLEMAAAV25'('SKOLEMAAAV48'),'SKOLEMAAAV26'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[57,188,194]) ).
cnf(603,plain,
app(app('SKOLEMAAAV27'('SKOLEMAAAV48'),cons('SKOLEMAAAV25'('SKOLEMAAAV48'),'SKOLEMAAAV28'('SKOLEMAAAV48'))),cons('SKOLEMAAAV26'('SKOLEMAAAV48'),'SKOLEMAAAV29'('SKOLEMAAAV48'))) = 'SKOLEMAAAV48',
inference('UR-RESOLVE',[status(thm)],[56,188,194]) ).
cnf(1858,plain,
cons('SKOLEMAAAV25'('SKOLEMAAAV48'),'SKOLEMAAAV28'('SKOLEMAAAV48')) = app(cons('SKOLEMAAAV25'('SKOLEMAAAV48'),nil),'SKOLEMAAAV28'('SKOLEMAAAV48')),
inference('HYPERRESOLVE',[status(thm)],[170,307,301]) ).
cnf(1859,plain,
app(app('SKOLEMAAAV27'('SKOLEMAAAV48'),app(cons('SKOLEMAAAV25'('SKOLEMAAAV48'),nil),'SKOLEMAAAV28'('SKOLEMAAAV48'))),cons('SKOLEMAAAV26'('SKOLEMAAAV48'),'SKOLEMAAAV29'('SKOLEMAAAV48'))) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[603,1858,theory(equality)]) ).
cnf(2560,plain,
cons('SKOLEMAAAV26'('SKOLEMAAAV48'),'SKOLEMAAAV29'('SKOLEMAAAV48')) = app(cons('SKOLEMAAAV26'('SKOLEMAAAV48'),nil),'SKOLEMAAAV29'('SKOLEMAAAV48')),
inference('HYPERRESOLVE',[status(thm)],[170,309,303]) ).
cnf(2561,plain,
app(app('SKOLEMAAAV27'('SKOLEMAAAV48'),app(cons('SKOLEMAAAV25'('SKOLEMAAAV48'),nil),'SKOLEMAAAV28'('SKOLEMAAAV48'))),app(cons('SKOLEMAAAV26'('SKOLEMAAAV48'),nil),'SKOLEMAAAV29'('SKOLEMAAAV48'))) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[1859,2560,theory(equality)]) ).
cnf(33113,plain,
nil != 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[50,371,84,147,301,303,305,307,309]),2561,2560,1858,theory(equality)]) ).
cnf(33136,plain,
cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[202,33113]) ).
cnf(33234,plain,
$false,
inference('REWRITE',[status(thm)],[252,194,33136,33113,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC257+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 08:49:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T08:49:52
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-12T08:49:52
% 162.33/162.52
% 162.33/162.52
% 162.33/162.52 #||
% 162.33/162.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 162.33/162.52 % SZS output start Refutation
% See solution above
% 162.33/162.52 ||#
% 162.33/162.52
% 162.33/162.52 ; Summary of computation:
% 162.33/162.52 ; 103567 formulas have been input or derived (from 264 formulas).
% 162.33/162.52 ; 33234 (32%) were retained. Of these,
% 162.33/162.52 ; 24384 (73%) were simplified or subsumed later,
% 162.33/162.52 ; 8850 (27%) are still being kept.
% 162.33/162.52 ;
% 162.33/162.52 ; Run time in seconds excluding printing time:
% 162.33/162.52 ; 0.026 0% Read assertion file (1 call)
% 162.33/162.52 ; 0.009 0% Assert (96 calls)
% 162.33/162.52 ; 3.326 2% Process new row (97,684 calls)
% 162.33/162.52 ; 150.623 93% Resolution (526 calls)
% 162.33/162.52 ; 0.007 0% Paramodulation (263 calls)
% 162.33/162.52 ; 0.000 0% Factoring (6 calls)
% 162.33/162.52 ; 0.006 0% Condensing (1,893 calls)
% 162.33/162.52 ; 0.097 0% Forward subsumption (1,893 calls)
% 162.33/162.52 ; 0.031 0% Backward subsumption (1,584 calls)
% 162.33/162.52 ; 0.017 0% Clause clause subsumption (3,682 calls)
% 162.33/162.52 ; 3.024 2% Forward simplification (97,684 calls)
% 162.33/162.52 ; 4.568 3% Backward simplification (33,226 calls)
% 162.33/162.52 ; 0.019 0% Ordering (4,807 calls)
% 162.33/162.52 ; 0.000 0% Sortal reasoning (32 calls)
% 162.33/162.52 ; 0.001 0% Purity testing (1 call)
% 162.33/162.52 ; 0.316 0% Other
% 162.33/162.52 ; 162.070 Total
% 162.33/162.52 ; 162.068 Real time
% 162.33/162.53 ;
% 162.33/162.53 ; Term-hash-array has 47,811 terms in all.
% 162.33/162.53 ; Feature-vector-row-index has 535 entries (1,547 at peak, 1,584 added, 1,049 deleted).
% 162.33/162.53 ; Feature-vector-row-index has 2,521 nodes (7,513 at peak, 7,811 added, 5,290 deleted).
% 162.33/162.53 ; Retrieved 7,644 possibly forward subsuming rows in 1,893 calls.
% 162.33/162.53 ; Retrieved 1,320 possibly backward subsumed rows in 1,584 calls.
% 162.33/162.53 ; Path-index has 13,233 entries (40,625 at peak, 48,063 added, 34,830 deleted).
% 162.33/162.53 ; Path-index has 4,916 nodes (6,024 at peak, 6,245 added, 1,329 deleted).
% 162.33/162.53 ; Trie-index has 13,233 entries (40,625 at peak, 48,063 added, 34,830 deleted).
% 162.33/162.53 ; Trie-index has 45,978 nodes (127,829 at peak, 150,797 added, 104,819 deleted).
% 162.33/162.53 ; Retrieved 219,109 generalization terms in 810,697 calls.
% 162.33/162.53 ; Retrieved 31,846 instance terms in 31,641 calls.
% 162.33/162.53 ; Retrieved 350,213,308 unifiable terms in 7,216,518 calls.
% 162.33/162.53 ;
% 162.33/162.53 ; The agenda of backward simplifiable rows to process has 291 entries:
% 162.33/162.53 ; 291 with value 0
% 162.33/162.53 ; The agenda of rows to process has 4559 entries:
% 162.33/162.53 ; 293 with value 23 1026 with value 25 648 with value 27
% 162.33/162.53 ; 972 with value 24 1188 with value 26 432 with value 28
% 162.33/162.53 ; The agenda of input rows to give has 4 entries:
% 162.33/162.53 ; 1 with value 3 2 with value 4 1 with value 7
% 162.33/162.53 ; The agenda of rows to give has 8604 entries:
% 162.33/162.53 ; 3 with value (4 4) 85 with value (4 15) 695 with value (4 26)
% 162.33/162.53 ; 5 with value (4 5) 176 with value (4 16) 922 with value (4 27)
% 162.33/162.53 ; 1 with value (4 6) 108 with value (4 17) 963 with value (4 28)
% 162.33/162.53 ; 4 with value (4 7) 145 with value (4 18) 825 with value (4 29)
% 162.33/162.53 ; 29 with value (4 8) 158 with value (4 19) 687 with value (4 30)
% 162.33/162.53 ; 58 with value (4 9) 120 with value (4 20) 525 with value (4 31)
% 162.33/162.53 ; 35 with value (4 10) 244 with value (4 21) 324 with value (4 32)
% 162.33/162.53 ; 64 with value (4 11) 244 with value (4 22) 108 with value (4 33)
% 162.33/162.53 ; 71 with value (4 12) 491 with value (4 23) 18 with value (4 35)
% 162.33/162.53 ; 75 with value (4 13) 516 with value (4 24) 1 with value (4 37)
% 162.33/162.53 ; 176 with value (4 14) 722 with value (4 25) 6 with value (4 42)
% 162.33/162.53 Evaluation took:
% 162.33/162.53 162.07 seconds of real time
% 162.33/162.53 160.5528 seconds of user run time
% 162.33/162.53 1.522172 seconds of system run time
% 162.33/162.53 [Run times include 13.689 seconds GC run time.]
% 162.33/162.53 0 calls to %EVAL
% 162.33/162.53 0 page faults and
% 162.33/162.53 16,656,160,976 bytes consed.
% 162.33/162.53 :PROOF-FOUND
% 162.33/162.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T08:52:34
% 162.33/162.53 :PROOF-FOUND
% 162.33/162.53 *
%------------------------------------------------------------------------------