TSTP Solution File: SWC368+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC368+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 21:58:27 EDT 2022
% Result : Theorem 66.03s 66.21s
% Output : Refutation 66.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 36 ( 18 unt; 9 nHn; 36 RR)
% Number of literals : 72 ( 25 equ; 31 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 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(84,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(133,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ segmentP(X,Y)
| ~ segmentP(Y,Z)
| segmentP(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
cnf(137,axiom,
( ~ ssList(X)
| segmentP(X,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
cnf(139,axiom,
( ~ ssList(X)
| segmentP(nil,X)
| nil != X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
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,
~ segmentP('SKOLEMAAAV49','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(205,negated_conjecture,
( memberP('SKOLEMAAAV51','SKOLEMAAAV52')
| nil = 'SKOLEMAAAV50' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(206,plain,
( memberP('SKOLEMAAAV49','SKOLEMAAAV52')
| nil = 'SKOLEMAAAV48' ),
inference('REWRITE',[status(thm)],[205,193,192,theory(equality)]) ).
cnf(228,plain,
segmentP('SKOLEMAAAV49',nil),
inference('HYPERRESOLVE',[status(thm)],[137,189]) ).
cnf(435,plain,
( nil = 'SKOLEMAAAV48'
| ssList('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49')) ),
inference('HYPERRESOLVE',[status(thm)],[6,189,198,206]) ).
cnf(437,plain,
( nil = 'SKOLEMAAAV48'
| ssList('SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) ),
inference('HYPERRESOLVE',[status(thm)],[7,189,198,206]) ).
cnf(555,plain,
( nil = 'SKOLEMAAAV48'
| app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49' ),
inference('HYPERRESOLVE',[status(thm)],[8,189,198,206]) ).
cnf(819,plain,
~ segmentP(nil,'SKOLEMAAAV48'),
inference('UR-RESOLVE',[status(thm)],[133,228,189,84,188,194]) ).
cnf(840,plain,
nil != 'SKOLEMAAAV48',
inference('UR-RESOLVE',[status(thm)],[139,819,188]) ).
cnf(841,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[198,840]) ).
cnf(863,plain,
cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[202,840]) ).
cnf(913,plain,
ssList('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[435,840]) ).
cnf(914,plain,
ssList('SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[437,840]) ).
cnf(943,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[555,840]) ).
cnf(21994,plain,
app(app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),'SKOLEMAAAV48'),'SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[22,914,189,188,194,913]) ).
cnf(22069,plain,
cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) = app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[170,914,841]),863,theory(equality)]) ).
cnf(22070,plain,
app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[943,22069,theory(equality)]) ).
cnf(26022,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,914,913,188]),21994,22070,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC368+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 : Sat Jun 11 19:54:19 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 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T19:54:19
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-11T19:54:19
% 66.03/66.21
% 66.03/66.21
% 66.03/66.21 #||
% 66.03/66.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.03/66.21 % SZS output start Refutation
% See solution above
% 66.03/66.22 ||#
% 66.03/66.22
% 66.03/66.22 ; Summary of computation:
% 66.03/66.22 ; 94028 formulas have been input or derived (from 287 formulas).
% 66.03/66.22 ; 26022 (28%) were retained. Of these,
% 66.03/66.22 ; 6869 (26%) were simplified or subsumed later,
% 66.03/66.22 ; 19153 (74%) are still being kept.
% 66.03/66.22 ;
% 66.03/66.22 ; Run time in seconds excluding printing time:
% 66.03/66.22 ; 0.027 0% Read assertion file (1 call)
% 66.03/66.22 ; 0.007 0% Assert (96 calls)
% 66.03/66.22 ; 2.165 3% Process new row (87,882 calls)
% 66.03/66.22 ; 59.276 90% Resolution (572 calls)
% 66.03/66.22 ; 0.001 0% Paramodulation (286 calls)
% 66.03/66.22 ; 0.000 0% Factoring (6 calls)
% 66.03/66.22 ; 0.007 0% Condensing (1,117 calls)
% 66.03/66.22 ; 0.024 0% Forward subsumption (1,117 calls)
% 66.03/66.22 ; 0.018 0% Backward subsumption (1,013 calls)
% 66.03/66.22 ; 0.003 0% Clause clause subsumption (814 calls)
% 66.03/66.22 ; 2.480 4% Forward simplification (87,582 calls)
% 66.03/66.22 ; 1.446 2% Backward simplification (26,014 calls)
% 66.03/66.22 ; 0.008 0% Ordering (2,958 calls)
% 66.03/66.22 ; 0.000 0% Sortal reasoning (32 calls)
% 66.03/66.22 ; 0.001 0% Purity testing (1 call)
% 66.03/66.22 ; 0.280 0% Other
% 66.03/66.22 ; 65.743 Total
% 66.03/66.22 ; 65.752 Real time
% 66.03/66.22 ;
% 66.03/66.22 ; Term-hash-array has 34,513 terms in all.
% 66.03/66.22 ; Feature-vector-row-index has 637 entries (654 at peak, 1,013 added, 376 deleted).
% 66.03/66.22 ; Feature-vector-row-index has 3,127 nodes (3,240 at peak, 5,265 added, 2,138 deleted).
% 66.03/66.22 ; Retrieved 1,348 possibly forward subsuming rows in 1,117 calls.
% 66.03/66.22 ; Retrieved 454 possibly backward subsumed rows in 1,013 calls.
% 66.03/66.22 ; Path-index has 26,057 entries (26,057 at peak, 34,800 added, 8,743 deleted).
% 66.03/66.22 ; Path-index has 6,216 nodes (6,228 at peak, 7,099 added, 883 deleted).
% 66.03/66.22 ; Trie-index has 26,057 entries (26,057 at peak, 34,800 added, 8,743 deleted).
% 66.03/66.22 ; Trie-index has 75,553 nodes (75,553 at peak, 99,818 added, 24,265 deleted).
% 66.03/66.22 ; Retrieved 210,795 generalization terms in 736,727 calls.
% 66.03/66.22 ; Retrieved 25,198 instance terms in 25,000 calls.
% 66.03/66.22 ; Retrieved 139,881,217 unifiable terms in 3,497,968 calls.
% 66.03/66.22 ;
% 66.03/66.22 ; The agenda of rows to process has 5301 entries:
% 66.03/66.22 ; 265 with value 25 384 with value 29 1 with value 37
% 66.03/66.22 ; 4629 with value 26 16 with value 30 6 with value 42
% 66.03/66.22 ; The agenda of rows to give has 18876 entries:
% 66.03/66.22 ; 2 with value (4 5) 429 with value (4 16) 3132 with value (4 26)
% 66.03/66.22 ; 5 with value (4 6) 572 with value (4 17) 115 with value (4 27)
% 66.03/66.22 ; 1 with value (4 7) 192 with value (4 18) 3584 with value (4 28)
% 66.03/66.22 ; 47 with value (4 8) 852 with value (4 19) 343 with value (4 29)
% 66.03/66.22 ; 99 with value (4 9) 420 with value (4 20) 1386 with value (4 30)
% 66.03/66.22 ; 31 with value (4 10) 1337 with value (4 21) 3 with value (4 32)
% 66.03/66.22 ; 120 with value (4 11) 764 with value (4 22) 3 with value (4 33)
% 66.03/66.22 ; 189 with value (4 12) 1339 with value (4 23) 3 with value (4 36)
% 66.03/66.22 ; 113 with value (4 13) 2522 with value (4 24) 8 with value (4 37)
% 66.03/66.22 ; 268 with value (4 14) 899 with value (4 25) 30 with value (4 42)
% 66.03/66.22 ; 68 with value (4 15)
% 66.03/66.22 Evaluation took:
% 66.03/66.22 65.753 seconds of real time
% 66.03/66.22 64.902855 seconds of user run time
% 66.03/66.22 0.844569 seconds of system run time
% 66.03/66.22 [Run times include 5.387 seconds GC run time.]
% 66.03/66.22 0 calls to %EVAL
% 66.03/66.22 0 page faults and
% 66.03/66.22 6,830,728,112 bytes consed.
% 66.03/66.22 :PROOF-FOUND
% 66.03/66.22 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T19:55:24
% 66.03/66.22 :PROOF-FOUND
% 66.03/66.22 *
%------------------------------------------------------------------------------