TSTP Solution File: SWC383+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC383+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 21:58:33 EDT 2022
% Result : Theorem 160.08s 160.30s
% Output : Refutation 160.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 34 ( 19 unt; 6 nHn; 34 RR)
% Number of literals : 66 ( 22 equ; 31 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 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(12,axiom,
( ~ ssList(X)
| singletonP(X)
| ~ ssItem(Y)
| cons(Y,nil) != X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
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(81,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(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')
| nil = 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(196,plain,
( ssItem('SKOLEMAAAV52')
| nil = 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[195,192,theory(equality)]) ).
cnf(199,negated_conjecture,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
| nil = 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48'
| nil = 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[199,192,193,theory(equality)]) ).
cnf(203,negated_conjecture,
( memberP('SKOLEMAAAV51','SKOLEMAAAV52')
| nil = 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(204,plain,
( memberP('SKOLEMAAAV49','SKOLEMAAAV52')
| nil = 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[203,192,theory(equality)]) ).
cnf(211,negated_conjecture,
( ~ singletonP('SKOLEMAAAV48')
| ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(398,plain,
nil != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).
cnf(399,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[196,398]) ).
cnf(400,plain,
cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[200,398]) ).
cnf(408,plain,
memberP('SKOLEMAAAV49','SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[204,398]) ).
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(481,plain,
singletonP('SKOLEMAAAV48'),
inference('HYPERRESOLVE',[status(thm)],[12,188,399,400]) ).
cnf(482,plain,
~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
inference('REWRITE',[status(thm)],[211,481]) ).
cnf(575,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('HYPERRESOLVE',[status(thm)],[8,189,399,408]) ).
cnf(35512,plain,
app(app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),'SKOLEMAAAV48'),'SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[22,480,189,188,482,479]) ).
cnf(35535,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(35536,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[575,35535,theory(equality)]) ).
cnf(40571,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,480,479,188]),35512,35536,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC383+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 12 19:00:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-12T19:00:57
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-12T19:00:57
% 160.08/160.30
% 160.08/160.30
% 160.08/160.30 #||
% 160.08/160.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.08/160.30 % SZS output start Refutation
% See solution above
% 160.08/160.30 ||#
% 160.08/160.30
% 160.08/160.30 ; Summary of computation:
% 160.08/160.30 ; 132737 formulas have been input or derived (from 298 formulas).
% 160.08/160.30 ; 40571 (31%) were retained. Of these,
% 160.08/160.30 ; 9865 (24%) were simplified or subsumed later,
% 160.08/160.30 ; 30706 (76%) are still being kept.
% 160.08/160.30 ;
% 160.08/160.30 ; Run time in seconds excluding printing time:
% 160.08/160.30 ; 0.026 0% Read assertion file (1 call)
% 160.08/160.30 ; 0.005 0% Assert (96 calls)
% 160.08/160.30 ; 4.039 3% Process new row (123,804 calls)
% 160.08/160.30 ; 148.384 93% Resolution (594 calls)
% 160.08/160.30 ; 0.004 0% Paramodulation (297 calls)
% 160.08/160.30 ; 0.000 0% Factoring (6 calls)
% 160.08/160.30 ; 0.005 0% Condensing (1,057 calls)
% 160.08/160.30 ; 0.032 0% Forward subsumption (1,057 calls)
% 160.08/160.30 ; 0.012 0% Backward subsumption (957 calls)
% 160.08/160.30 ; 0.000 0% Clause clause subsumption (491 calls)
% 160.08/160.30 ; 3.889 2% Forward simplification (122,951 calls)
% 160.08/160.30 ; 2.978 2% Backward simplification (40,563 calls)
% 160.08/160.30 ; 0.021 0% Ordering (3,591 calls)
% 160.08/160.30 ; 0.000 0% Sortal reasoning (32 calls)
% 160.08/160.30 ; 0.001 0% Purity testing (1 call)
% 160.08/160.30 ; 0.430 0% Other
% 160.08/160.30 ; 159.826 Total
% 160.08/160.30 ; 159.840 Real time
% 160.12/160.31 ;
% 160.12/160.31 ; Term-hash-array has 54,115 terms in all.
% 160.12/160.31 ; Feature-vector-row-index has 699 entries (702 at peak, 957 added, 258 deleted).
% 160.12/160.31 ; Feature-vector-row-index has 3,445 nodes (3,454 at peak, 4,724 added, 1,279 deleted).
% 160.12/160.31 ; Retrieved 565 possibly forward subsuming rows in 1,057 calls.
% 160.12/160.31 ; Retrieved 292 possibly backward subsumed rows in 957 calls.
% 160.12/160.31 ; Path-index has 41,446 entries (41,446 at peak, 54,365 added, 12,919 deleted).
% 160.12/160.31 ; Path-index has 7,297 nodes (7,307 at peak, 8,466 added, 1,169 deleted).
% 160.12/160.31 ; Trie-index has 41,446 entries (41,446 at peak, 54,365 added, 12,919 deleted).
% 160.12/160.31 ; Trie-index has 117,201 nodes (117,201 at peak, 152,947 added, 35,746 deleted).
% 160.12/160.31 ; Retrieved 294,319 generalization terms in 1,071,825 calls.
% 160.12/160.31 ; Retrieved 39,899 instance terms in 39,605 calls.
% 160.12/160.31 ; Retrieved 331,527,501 unifiable terms in 7,845,605 calls.
% 160.12/160.31 ;
% 160.12/160.31 ; The agenda of rows to process has 7880 entries:
% 160.12/160.31 ; 1556 with value 25 385 with value 28 1 with value 37
% 160.12/160.31 ; 5307 with value 26 384 with value 29 6 with value 42
% 160.12/160.31 ; 225 with value 27 16 with value 30
% 160.12/160.31 ; The agenda of rows to give has 30419 entries:
% 160.12/160.31 ; 1 with value (4 7) 423 with value (4 18) 4205 with value (4 28)
% 160.12/160.31 ; 55 with value (4 8) 1055 with value (4 19) 2045 with value (4 29)
% 160.12/160.31 ; 123 with value (4 9) 651 with value (4 20) 1778 with value (4 30)
% 160.12/160.31 ; 43 with value (4 10) 1693 with value (4 21) 1373 with value (4 31)
% 160.12/160.31 ; 161 with value (4 11) 1208 with value (4 22) 101 with value (4 32)
% 160.12/160.31 ; 223 with value (4 12) 2329 with value (4 23) 689 with value (4 33)
% 160.12/160.31 ; 151 with value (4 13) 3056 with value (4 24) 6 with value (4 35)
% 160.12/160.31 ; 382 with value (4 14) 1979 with value (4 25) 3 with value (4 36)
% 160.12/160.31 ; 135 with value (4 15) 3679 with value (4 26) 8 with value (4 37)
% 160.12/160.31 ; 572 with value (4 16) 1606 with value (4 27) 30 with value (4 42)
% 160.12/160.31 ; 656 with value (4 17)
% 160.12/160.31 Evaluation took:
% 160.12/160.31 159.843 seconds of real time
% 160.12/160.31 158.30695 seconds of user run time
% 160.12/160.31 1.52421 seconds of system run time
% 160.12/160.31 [Run times include 15.513 seconds GC run time.]
% 160.12/160.31 0 calls to %EVAL
% 160.12/160.31 0 page faults and
% 160.12/160.31 16,584,009,952 bytes consed.
% 160.12/160.31 :PROOF-FOUND
% 160.12/160.31 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T19:03:36
% 160.12/160.31 :PROOF-FOUND
% 160.12/160.31 *
%------------------------------------------------------------------------------