%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC292+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 21:58:01 EDT 2022
% Result : Theorem 213.34s 213.57s
% Output : Refutation 213.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of clauses : 42 ( 24 unt; 8 nHn; 42 RR)
% Number of literals : 79 ( 22 equ; 33 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(58,axiom,
( ~ ssList(X)
| ~ strictorderedP(X)
| ~ ssItem(Y)
| ~ ssItem(Z)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| app(app(U,cons(Y,V)),cons(Z,W)) != X
| lt(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
cnf(59,axiom,
( ~ ssList(X)
| strictorderedP(X)
| ssItem('SKOLEMAAAU30'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
cnf(60,axiom,
( ~ ssList(X)
| strictorderedP(X)
| ssItem('SKOLEMAAAU31'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
cnf(61,axiom,
( ~ ssList(X)
| strictorderedP(X)
| ssList('SKOLEMAAAU32'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
cnf(62,axiom,
( ~ ssList(X)
| strictorderedP(X)
| ssList('SKOLEMAAAU33'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
cnf(63,axiom,
( ~ ssList(X)
| strictorderedP(X)
| ssList('SKOLEMAAAU34'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
cnf(64,axiom,
( ~ ssList(X)
| strictorderedP(X)
| app(app('SKOLEMAAAU32'(X),cons('SKOLEMAAAU30'(X),'SKOLEMAAAU33'(X))),cons('SKOLEMAAAU31'(X),'SKOLEMAAAU34'(X))) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
cnf(65,axiom,
( ~ ssList(X)
| strictorderedP(X)
| ~ lt('SKOLEMAAAU30'(X),'SKOLEMAAAU31'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
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(153,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax69) ).
cnf(156,axiom,
( ~ ssItem(X)
| ~ ssList(Y)
| strictorderedP(cons(X,Y))
| nil != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax70) ).
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(188,negated_conjecture,
ssList('SKOLEMAAAU48'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAU49'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAU49' = 'SKOLEMAAAU51',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAU48' = 'SKOLEMAAAU50',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
~ strictorderedP('SKOLEMAAAU48'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( nil = 'SKOLEMAAAU50'
| nil != 'SKOLEMAAAU51' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(196,plain,
( nil = 'SKOLEMAAAU48'
| nil != 'SKOLEMAAAU49' ),
inference('REWRITE',[status(thm)],[195,192,193,theory(equality)]) ).
cnf(197,negated_conjecture,
( ssItem('SKOLEMAAAU52')
| ~ neq('SKOLEMAAAU51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
( ssItem('SKOLEMAAAU52')
| ~ neq('SKOLEMAAAU49',nil) ),
inference('REWRITE',[status(thm)],[197,192,theory(equality)]) ).
cnf(199,negated_conjecture,
( cons('SKOLEMAAAU52',nil) = 'SKOLEMAAAU50'
| ~ neq('SKOLEMAAAU51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
( cons('SKOLEMAAAU52',nil) = 'SKOLEMAAAU48'
| ~ neq('SKOLEMAAAU49',nil) ),
inference('REWRITE',[status(thm)],[199,192,193,theory(equality)]) ).
cnf(285,plain,
ssItem('SKOLEMAAAU30'('SKOLEMAAAU48')),
inference('UR-RESOLVE',[status(thm)],[59,188,194]) ).
cnf(287,plain,
ssItem('SKOLEMAAAU31'('SKOLEMAAAU48')),
inference('UR-RESOLVE',[status(thm)],[60,188,194]) ).
cnf(289,plain,
ssList('SKOLEMAAAU32'('SKOLEMAAAU48')),
inference('UR-RESOLVE',[status(thm)],[61,188,194]) ).
cnf(291,plain,
ssList('SKOLEMAAAU33'('SKOLEMAAAU48')),
inference('UR-RESOLVE',[status(thm)],[62,188,194]) ).
cnf(293,plain,
ssList('SKOLEMAAAU34'('SKOLEMAAAU48')),
inference('UR-RESOLVE',[status(thm)],[63,188,194]) ).
cnf(339,plain,
~ lt('SKOLEMAAAU30'('SKOLEMAAAU48'),'SKOLEMAAAU31'('SKOLEMAAAU48')),
inference('UR-RESOLVE',[status(thm)],[65,188,194]) ).
cnf(360,plain,
( neq('SKOLEMAAAU49',nil)
| nil = 'SKOLEMAAAU49' ),
inference('HYPERRESOLVE',[status(thm)],[82,189,84]) ).
cnf(494,plain,
app(app('SKOLEMAAAU32'('SKOLEMAAAU48'),cons('SKOLEMAAAU30'('SKOLEMAAAU48'),'SKOLEMAAAU33'('SKOLEMAAAU48'))),cons('SKOLEMAAAU31'('SKOLEMAAAU48'),'SKOLEMAAAU34'('SKOLEMAAAU48'))) = 'SKOLEMAAAU48',
inference('UR-RESOLVE',[status(thm)],[64,188,194]) ).
cnf(1657,plain,
cons('SKOLEMAAAU30'('SKOLEMAAAU48'),'SKOLEMAAAU33'('SKOLEMAAAU48')) = app(cons('SKOLEMAAAU30'('SKOLEMAAAU48'),nil),'SKOLEMAAAU33'('SKOLEMAAAU48')),
inference('HYPERRESOLVE',[status(thm)],[170,291,285]) ).
cnf(1658,plain,
app(app('SKOLEMAAAU32'('SKOLEMAAAU48'),app(cons('SKOLEMAAAU30'('SKOLEMAAAU48'),nil),'SKOLEMAAAU33'('SKOLEMAAAU48'))),cons('SKOLEMAAAU31'('SKOLEMAAAU48'),'SKOLEMAAAU34'('SKOLEMAAAU48'))) = 'SKOLEMAAAU48',
inference('REWRITE',[status(thm)],[494,1657,theory(equality)]) ).
cnf(2329,plain,
cons('SKOLEMAAAU31'('SKOLEMAAAU48'),'SKOLEMAAAU34'('SKOLEMAAAU48')) = app(cons('SKOLEMAAAU31'('SKOLEMAAAU48'),nil),'SKOLEMAAAU34'('SKOLEMAAAU48')),
inference('HYPERRESOLVE',[status(thm)],[170,293,287]) ).
cnf(2330,plain,
app(app('SKOLEMAAAU32'('SKOLEMAAAU48'),app(cons('SKOLEMAAAU30'('SKOLEMAAAU48'),nil),'SKOLEMAAAU33'('SKOLEMAAAU48'))),app(cons('SKOLEMAAAU31'('SKOLEMAAAU48'),nil),'SKOLEMAAAU34'('SKOLEMAAAU48'))) = 'SKOLEMAAAU48',
inference('REWRITE',[status(thm)],[1658,2329,theory(equality)]) ).
cnf(32575,plain,
nil != 'SKOLEMAAAU48',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[58,339,84,153,285,287,289,291,293]),2330,2329,1657,theory(equality)]) ).
cnf(32576,plain,
nil != 'SKOLEMAAAU49',
inference('REWRITE',[status(thm)],[196,32575]) ).
cnf(32583,plain,
neq('SKOLEMAAAU49',nil),
inference('REWRITE',[status(thm)],[360,32576]) ).
cnf(32584,plain,
ssItem('SKOLEMAAAU52'),
inference('REWRITE',[status(thm)],[198,32583]) ).
cnf(32585,plain,
cons('SKOLEMAAAU52',nil) = 'SKOLEMAAAU48',
inference('REWRITE',[status(thm)],[200,32583]) ).
cnf(37273,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[156,32584,84,theory(equality)]),194,32585,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC292+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 12 13:59:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T13:59:37
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-12T13:59:37
% 213.34/213.57
% 213.34/213.57
% 213.34/213.57 #||
% 213.34/213.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 213.34/213.57 % SZS output start Refutation
% See solution above
% 213.34/213.57 ||#
% 213.34/213.57
% 213.34/213.57 ; Summary of computation:
% 213.34/213.57 ; 94891 formulas have been input or derived (from 261 formulas).
% 213.34/213.57 ; 37273 (39%) were retained. Of these,
% 213.34/213.57 ; 5597 (15%) were simplified or subsumed later,
% 213.34/213.57 ; 31676 (85%) are still being kept.
% 213.34/213.57 ;
% 213.34/213.57 ; Run time in seconds excluding printing time:
% 213.34/213.57 ; 0.026 0% Read assertion file (1 call)
% 213.34/213.57 ; 0.007 0% Assert (96 calls)
% 213.34/213.57 ; 4.005 2% Process new row (83,076 calls)
% 213.34/213.57 ; 201.564 95% Resolution (520 calls)
% 213.34/213.57 ; 0.004 0% Paramodulation (260 calls)
% 213.34/213.57 ; 0.003 0% Condensing (1,103 calls)
% 213.34/213.57 ; 0.039 0% Forward subsumption (1,103 calls)
% 213.34/213.57 ; 0.022 0% Backward subsumption (1,070 calls)
% 213.34/213.57 ; 0.001 0% Clause clause subsumption (1,174 calls)
% 213.34/213.57 ; 2.566 1% Forward simplification (83,076 calls)
% 213.34/213.57 ; 4.485 2% Backward simplification (37,269 calls)
% 213.34/213.57 ; 0.019 0% Ordering (3,924 calls)
% 213.34/213.57 ; 0.000 0% Sortal reasoning (32 calls)
% 213.34/213.57 ; 0.001 0% Purity testing (1 call)
% 213.34/213.57 ; 0.305 0% Other
% 213.34/213.57 ; 213.047 Total
% 213.34/213.57 ; 213.103 Real time
% 213.34/213.57 ;
% 213.34/213.57 ; Term-hash-array has 52,937 terms in all.
% 213.34/213.57 ; Feature-vector-row-index has 920 entries (1,018 at peak, 1,070 added, 150 deleted).
% 213.34/213.57 ; Feature-vector-row-index has 4,033 nodes (4,476 at peak, 4,769 added, 736 deleted).
% 213.34/213.57 ; Retrieved 1,289 possibly forward subsuming rows in 1,103 calls.
% 213.34/213.57 ; Retrieved 576 possibly backward subsumed rows in 1,070 calls.
% 213.34/213.57 ; Path-index has 45,739 entries (45,767 at peak, 53,293 added, 7,554 deleted).
% 213.34/213.57 ; Path-index has 5,741 nodes (5,827 at peak, 6,155 added, 414 deleted).
% 213.34/213.57 ; Trie-index has 45,739 entries (45,767 at peak, 53,293 added, 7,554 deleted).
% 213.34/213.57 ; Trie-index has 139,981 nodes (140,065 at peak, 163,409 added, 23,428 deleted).
% 213.34/213.57 ; Retrieved 176,701 generalization terms in 714,834 calls.
% 213.34/213.57 ; Retrieved 36,403 instance terms in 36,198 calls.
% 213.34/213.57 ; Retrieved 445,809,568 unifiable terms in 9,379,662 calls.
% 213.34/213.57 ;
% 213.34/213.57 ; The agenda of rows to process has 10901 entries:
% 213.34/213.57 ; 17 with value 7 28 with value 14 1440 with value 21
% 213.34/213.57 ; 18 with value 8 18 with value 15 1620 with value 22
% 213.34/213.57 ; 18 with value 9 72 with value 16 2124 with value 23
% 213.34/213.57 ; 18 with value 10 120 with value 18 1944 with value 24
% 213.34/213.57 ; 71 with value 11 468 with value 19 1368 with value 25
% 213.34/213.57 ; 33 with value 12 648 with value 20 864 with value 26
% 213.34/213.57 ; 12 with value 13
% 213.34/213.57 ; The agenda of input rows to give has 3 entries:
% 213.34/213.57 ; 2 with value 4 1 with value 7
% 213.34/213.57 ; The agenda of rows to give has 31416 entries:
% 213.34/213.57 ; 2 with value (4 4) 470 with value (4 16) 3142 with value (4 27)
% 213.34/213.57 ; 10 with value (4 5) 332 with value (4 17) 3592 with value (4 28)
% 213.34/213.57 ; 9 with value (4 6) 279 with value (4 18) 3924 with value (4 29)
% 213.34/213.57 ; 41 with value (4 8) 376 with value (4 19) 3604 with value (4 30)
% 213.34/213.57 ; 123 with value (4 9) 265 with value (4 20) 3135 with value (4 31)
% 213.34/213.57 ; 43 with value (4 10) 570 with value (4 21) 1944 with value (4 32)
% 213.34/213.57 ; 132 with value (4 11) 496 with value (4 22) 1296 with value (4 33)
% 213.34/213.57 ; 161 with value (4 12) 1202 with value (4 23) 18 with value (4 35)
% 213.34/213.57 ; 164 with value (4 13) 1296 with value (4 24) 4 with value (4 37)
% 213.34/213.57 ; 270 with value (4 14) 2038 with value (4 25) 24 with value (4 42)
% 213.34/213.57 ; 140 with value (4 15) 2314 with value (4 26)
% 213.34/213.57 Evaluation took:
% 213.34/213.57 213.105 seconds of real time
% 213.34/213.57 211.51135 seconds of user run time
% 213.34/213.57 1.541228 seconds of system run time
% 213.34/213.57 [Run times include 24.846 seconds GC run time.]
% 213.34/213.57 0 calls to %EVAL
% 213.34/213.57 0 page faults and
% 213.34/213.57 20,989,066,928 bytes consed.
% 213.34/213.57 :PROOF-FOUND
% 213.34/213.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T14:03:10
% 213.34/213.57 :PROOF-FOUND
% 213.34/213.57 *
%------------------------------------------------------------------------------