TSTP Solution File: SWC126+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC126+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 21:57:03 EDT 2022
% Result : Theorem 156.06s 156.30s
% Output : Refutation 156.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 32 ( 19 unt; 1 nHn; 32 RR)
% Number of literals : 62 ( 15 equ; 35 neg)
% Maximal clause size : 6 ( 1 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 : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ~ memberP(X,Y)
| ssList('SKOLEMAAAV3'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
cnf(7,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ~ memberP(X,Y)
| ssList('SKOLEMAAAV4'(Y,X)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
cnf(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(85,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| cons(Y,X) != X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
cnf(170,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| cons(Y,X) = app(cons(Y,nil),X) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
cnf(188,negated_conjecture,
ssList('SKOLEMAAAV48'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAV49'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAV49' = 'SKOLEMAAAV51',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
neq('SKOLEMAAAV49',nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( ssItem('SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(196,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).
cnf(197,negated_conjecture,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[197,194,192,193,theory(equality)]) ).
cnf(199,negated_conjecture,
( memberP('SKOLEMAAAV51','SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
memberP('SKOLEMAAAV49','SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[199,194,192,theory(equality)]) ).
cnf(201,negated_conjecture,
( ~ neq('SKOLEMAAAV48',nil)
| ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(202,plain,
( ~ neq('SKOLEMAAAV48',nil)
| ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48') ),
inference('REWRITE',[status(thm)],[201,194,192,theory(equality)]) ).
cnf(323,plain,
nil != 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[85,84,196]),198,theory(equality)]) ).
cnf(359,plain,
neq('SKOLEMAAAV48',nil),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,188,84]),323]) ).
cnf(360,plain,
~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
inference('REWRITE',[status(thm)],[202,359]) ).
cnf(390,plain,
ssList('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('HYPERRESOLVE',[status(thm)],[6,189,196,200]) ).
cnf(391,plain,
ssList('SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('HYPERRESOLVE',[status(thm)],[7,189,196,200]) ).
cnf(485,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('HYPERRESOLVE',[status(thm)],[8,189,196,200]) ).
cnf(35033,plain,
app(app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),'SKOLEMAAAV48'),'SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[22,391,189,188,360,390]) ).
cnf(35056,plain,
cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) = app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[170,391,196]),198,theory(equality)]) ).
cnf(35057,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[485,35056,theory(equality)]) ).
cnf(40092,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,391,390,188]),35033,35057,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC126+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n026.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 : Sun Jun 12 02:59:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T02:59:20
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T02:59:20
% 156.06/156.30
% 156.06/156.30
% 156.06/156.30 #||
% 156.06/156.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 156.06/156.30 % SZS output start Refutation
% See solution above
% 156.16/156.33 ||#
% 156.16/156.33
% 156.16/156.33 ; Summary of computation:
% 156.16/156.33 ; 130996 formulas have been input or derived (from 291 formulas).
% 156.16/156.33 ; 40092 (31%) were retained. Of these,
% 156.16/156.33 ; 9387 (23%) were simplified or subsumed later,
% 156.16/156.33 ; 30705 (77%) are still being kept.
% 156.16/156.33 ;
% 156.16/156.33 ; Run time in seconds excluding printing time:
% 156.16/156.33 ; 0.026 0% Read assertion file (1 call)
% 156.16/156.33 ; 0.009 0% Assert (96 calls)
% 156.16/156.33 ; 3.754 2% Process new row (122,072 calls)
% 156.16/156.33 ; 144.699 93% Resolution (580 calls)
% 156.16/156.33 ; 0.005 0% Paramodulation (290 calls)
% 156.16/156.33 ; 0.003 0% Condensing (952 calls)
% 156.16/156.33 ; 0.026 0% Forward subsumption (952 calls)
% 156.16/156.34 ; 0.043 0% Backward subsumption (865 calls)
% 156.16/156.34 ; 0.001 0% Clause clause subsumption (458 calls)
% 156.16/156.34 ; 3.810 2% Forward simplification (121,489 calls)
% 156.16/156.34 ; 3.046 2% Backward simplification (40,088 calls)
% 156.16/156.34 ; 0.021 0% Ordering (3,392 calls)
% 156.16/156.34 ; 0.001 0% Sortal reasoning (32 calls)
% 156.16/156.34 ; 0.001 0% Purity testing (1 call)
% 156.16/156.34 ; 0.373 0% Other
% 156.16/156.34 ; 155.818 Total
% 156.16/156.34 ; 155.844 Real time
% 156.16/156.34 ;
% 156.16/156.34 ; Term-hash-array has 53,412 terms in all.
% 156.16/156.34 ; Feature-vector-row-index has 698 entries (701 at peak, 865 added, 167 deleted).
% 156.16/156.34 ; Feature-vector-row-index has 3,440 nodes (3,449 at peak, 4,397 added, 957 deleted).
% 156.16/156.34 ; Retrieved 511 possibly forward subsuming rows in 952 calls.
% 156.16/156.34 ; Retrieved 271 possibly backward subsumed rows in 865 calls.
% 156.16/156.34 ; Path-index has 41,444 entries (41,444 at peak, 53,653 added, 12,209 deleted).
% 156.16/156.34 ; Path-index has 7,281 nodes (7,291 at peak, 8,352 added, 1,071 deleted).
% 156.16/156.34 ; Trie-index has 41,444 entries (41,444 at peak, 53,653 added, 12,209 deleted).
% 156.16/156.34 ; Trie-index has 117,201 nodes (117,201 at peak, 151,116 added, 33,915 deleted).
% 156.16/156.34 ; Retrieved 291,264 generalization terms in 1,060,338 calls.
% 156.16/156.34 ; Retrieved 39,511 instance terms in 39,222 calls.
% 156.16/156.34 ; Retrieved 322,810,346 unifiable terms in 7,652,633 calls.
% 156.16/156.34 ;
% 156.16/156.34 ; The agenda of rows to process has 7880 entries:
% 156.16/156.34 ; 1556 with value 25 385 with value 28 1 with value 37
% 156.16/156.34 ; 5307 with value 26 384 with value 29 6 with value 42
% 156.16/156.34 ; 225 with value 27 16 with value 30
% 156.16/156.34 ; The agenda of rows to give has 30419 entries:
% 156.16/156.34 ; 1 with value (4 7) 423 with value (4 18) 4205 with value (4 28)
% 156.16/156.34 ; 55 with value (4 8) 1055 with value (4 19) 2045 with value (4 29)
% 156.16/156.34 ; 123 with value (4 9) 651 with value (4 20) 1778 with value (4 30)
% 156.16/156.34 ; 43 with value (4 10) 1693 with value (4 21) 1373 with value (4 31)
% 156.16/156.34 ; 161 with value (4 11) 1208 with value (4 22) 101 with value (4 32)
% 156.16/156.34 ; 223 with value (4 12) 2329 with value (4 23) 689 with value (4 33)
% 156.16/156.34 ; 151 with value (4 13) 3056 with value (4 24) 6 with value (4 35)
% 156.16/156.34 ; 382 with value (4 14) 1979 with value (4 25) 3 with value (4 36)
% 156.16/156.34 ; 135 with value (4 15) 3679 with value (4 26) 8 with value (4 37)
% 156.16/156.34 ; 572 with value (4 16) 1606 with value (4 27) 30 with value (4 42)
% 156.16/156.34 ; 656 with value (4 17)
% 156.16/156.34 Evaluation took:
% 156.16/156.34 155.847 seconds of real time
% 156.16/156.34 154.26312 seconds of user run time
% 156.16/156.34 1.591051 seconds of system run time
% 156.16/156.34 [Run times include 16.133 seconds GC run time.]
% 156.16/156.34 0 calls to %EVAL
% 156.16/156.34 0 page faults and
% 156.16/156.34 16,034,531,944 bytes consed.
% 156.16/156.34 :PROOF-FOUND
% 156.16/156.34 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T03:01:55
% 156.16/156.34 :PROOF-FOUND
% 156.16/156.34 *
%------------------------------------------------------------------------------