TSTP Solution File: SWC084+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC084+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 21:56:47 EDT 2022
% Result : Theorem 160.28s 160.50s
% Output : Refutation 160.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 39 ( 21 unt; 7 nHn; 39 RR)
% Number of literals : 78 ( 26 equ; 39 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ~ memberP(X,Y)
| ssList('SKOLEMAAAV3'(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
cnf(7,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ~ memberP(X,Y)
| ssList('SKOLEMAAAV4'(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
cnf(8,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ~ memberP(X,Y)
| app('SKOLEMAAAV3'(Y,X),cons(Y,'SKOLEMAAAV4'(Y,X))) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
cnf(22,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| segmentP(X,Y)
| ~ ssList(Z)
| ~ ssList(U)
| app(app(Z,Y),U) != X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
cnf(81,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ neq(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(85,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| cons(Y,X) != X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
cnf(135,axiom,
( ~ ssList(X)
| segmentP(X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
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(171,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(Z)
| app(app(X,Y),Z) = app(X,app(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
cnf(188,negated_conjecture,
ssList('SKOLEMAAAV48'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAV49'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAV49' = 'SKOLEMAAAV51',
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,
neq('SKOLEMAAAV49',nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( ~ ssList(X)
| ~ neq(X,nil)
| ~ segmentP('SKOLEMAAAV49',X)
| ~ segmentP('SKOLEMAAAV48',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(196,negated_conjecture,
( ssItem('SKOLEMAAAV52')
| nil = 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(197,plain,
( ssItem('SKOLEMAAAV52')
| nil = 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[196,192,theory(equality)]) ).
cnf(200,negated_conjecture,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
| nil = 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(201,plain,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48'
| nil = 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[200,192,193,theory(equality)]) ).
cnf(204,negated_conjecture,
( memberP('SKOLEMAAAV51','SKOLEMAAAV52')
| nil = 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(205,plain,
( memberP('SKOLEMAAAV49','SKOLEMAAAV52')
| nil = 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[204,192,theory(equality)]) ).
cnf(227,plain,
segmentP('SKOLEMAAAV48','SKOLEMAAAV48'),
inference('HYPERRESOLVE',[status(thm)],[135,188]) ).
cnf(380,plain,
( nil = 'SKOLEMAAAV49'
| ~ ssItem('SKOLEMAAAV52')
| nil != 'SKOLEMAAAV48' ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,201,theory(equality)]),84]) ).
cnf(398,plain,
nil != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).
cnf(399,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[197,398]) ).
cnf(400,plain,
cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[201,398]) ).
cnf(408,plain,
memberP('SKOLEMAAAV49','SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[205,398]) ).
cnf(427,plain,
nil != 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[380,399,398]) ).
cnf(449,plain,
neq('SKOLEMAAAV48',nil),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,188,84]),427]) ).
cnf(479,plain,
ssList('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('HYPERRESOLVE',[status(thm)],[6,189,399,408]) ).
cnf(480,plain,
ssList('SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('HYPERRESOLVE',[status(thm)],[7,189,399,408]) ).
cnf(574,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('HYPERRESOLVE',[status(thm)],[8,189,399,408]) ).
cnf(952,plain,
~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
inference('UR-RESOLVE',[status(thm)],[195,449,188,227]) ).
cnf(35564,plain,
cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) = app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[170,480,399]),400,theory(equality)]) ).
cnf(35565,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[574,35564,theory(equality)]) ).
cnf(35726,plain,
app(app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),'SKOLEMAAAV48'),'SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[22,480,189,188,952,479]) ).
cnf(40639,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,480,479,188]),35726,35565,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC084+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.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
% 0.12/0.34 % DateTime : Sun Jun 12 18:51:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T18:51:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-12T18:51:38
% 160.28/160.50
% 160.28/160.50
% 160.28/160.50 #||
% 160.28/160.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 160.28/160.50 % SZS output start Refutation
% See solution above
% 160.28/160.51 ||#
% 160.28/160.51
% 160.28/160.51 ; Summary of computation:
% 160.28/160.51 ; 132740 formulas have been input or derived (from 298 formulas).
% 160.28/160.51 ; 40639 (31%) were retained. Of these,
% 160.28/160.51 ; 9861 (24%) were simplified or subsumed later,
% 160.28/160.51 ; 30778 (76%) are still being kept.
% 160.28/160.51 ;
% 160.28/160.51 ; Run time in seconds excluding printing time:
% 160.28/160.51 ; 0.027 0% Read assertion file (1 call)
% 160.28/160.51 ; 0.009 0% Assert (96 calls)
% 160.28/160.51 ; 3.908 2% Process new row (123,804 calls)
% 160.28/160.51 ; 148.708 93% Resolution (594 calls)
% 160.28/160.51 ; 0.018 0% Paramodulation (297 calls)
% 160.28/160.51 ; 0.000 0% Factoring (6 calls)
% 160.28/160.51 ; 0.007 0% Condensing (1,065 calls)
% 160.28/160.51 ; 0.023 0% Forward subsumption (1,065 calls)
% 160.28/160.51 ; 0.016 0% Backward subsumption (965 calls)
% 160.28/160.51 ; 0.004 0% Clause clause subsumption (515 calls)
% 160.28/160.51 ; 3.781 2% Forward simplification (122,951 calls)
% 160.28/160.51 ; 3.043 2% Backward simplification (40,631 calls)
% 160.28/160.51 ; 0.018 0% Ordering (3,589 calls)
% 160.28/160.51 ; 0.000 0% Sortal reasoning (32 calls)
% 160.28/160.51 ; 0.000 0% Purity testing (1 call)
% 160.28/160.51 ; 0.467 0% Other
% 160.28/160.51 ; 160.029 Total
% 160.28/160.51 ; 160.040 Real time
% 160.28/160.51 ;
% 160.28/160.51 ; Term-hash-array has 54,190 terms in all.
% 160.28/160.51 ; Feature-vector-row-index has 708 entries (711 at peak, 965 added, 257 deleted).
% 160.28/160.51 ; Feature-vector-row-index has 3,463 nodes (3,469 at peak, 4,727 added, 1,264 deleted).
% 160.28/160.51 ; Retrieved 577 possibly forward subsuming rows in 1,065 calls.
% 160.28/160.51 ; Retrieved 304 possibly backward subsumed rows in 965 calls.
% 160.28/160.51 ; Path-index has 41,524 entries (41,524 at peak, 54,439 added, 12,915 deleted).
% 160.28/160.51 ; Path-index has 7,297 nodes (7,307 at peak, 8,466 added, 1,169 deleted).
% 160.28/160.51 ; Trie-index has 41,524 entries (41,524 at peak, 54,439 added, 12,915 deleted).
% 160.28/160.51 ; Trie-index has 117,206 nodes (117,206 at peak, 152,873 added, 35,667 deleted).
% 160.28/160.51 ; Retrieved 294,147 generalization terms in 1,071,752 calls.
% 160.28/160.51 ; Retrieved 39,925 instance terms in 39,665 calls.
% 160.28/160.51 ; Retrieved 331,541,015 unifiable terms in 7,845,896 calls.
% 160.28/160.51 ;
% 160.28/160.51 ; The agenda of rows to process has 7880 entries:
% 160.28/160.51 ; 1556 with value 25 385 with value 28 1 with value 37
% 160.28/160.51 ; 5307 with value 26 384 with value 29 6 with value 42
% 160.28/160.51 ; 225 with value 27 16 with value 30
% 160.28/160.51 ; The agenda of rows to give has 30490 entries:
% 160.28/160.51 ; 2 with value (4 7) 543 with value (4 18) 4205 with value (4 28)
% 160.28/160.51 ; 53 with value (4 8) 1054 with value (4 19) 2045 with value (4 29)
% 160.28/160.51 ; 124 with value (4 9) 659 with value (4 20) 1778 with value (4 30)
% 160.28/160.51 ; 44 with value (4 10) 1693 with value (4 21) 1373 with value (4 31)
% 160.28/160.51 ; 143 with value (4 11) 1208 with value (4 22) 101 with value (4 32)
% 160.28/160.51 ; 213 with value (4 12) 2329 with value (4 23) 689 with value (4 33)
% 160.28/160.51 ; 176 with value (4 13) 3056 with value (4 24) 6 with value (4 35)
% 160.28/160.51 ; 342 with value (4 14) 1979 with value (4 25) 3 with value (4 36)
% 160.28/160.51 ; 188 with value (4 15) 3679 with value (4 26) 8 with value (4 37)
% 160.28/160.51 ; 540 with value (4 16) 1606 with value (4 27) 30 with value (4 42)
% 160.28/160.51 ; 621 with value (4 17)
% 160.28/160.51 Evaluation took:
% 160.28/160.51 160.044 seconds of real time
% 160.28/160.51 158.43933 seconds of user run time
% 160.28/160.51 1.596191 seconds of system run time
% 160.28/160.51 [Run times include 16.083 seconds GC run time.]
% 160.28/160.51 0 calls to %EVAL
% 160.28/160.51 0 page faults and
% 160.28/160.51 16,586,060,632 bytes consed.
% 160.28/160.51 :PROOF-FOUND
% 160.28/160.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T18:54:18
% 160.28/160.51 :PROOF-FOUND
% 160.28/160.51 *
%------------------------------------------------------------------------------