TSTP Solution File: SWC276+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC276+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 21:57:55 EDT 2022
% Result : Theorem 158.84s 159.02s
% Output : Refutation 158.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of clauses : 34 ( 19 unt; 11 nHn; 34 RR)
% Number of literals : 64 ( 18 equ; 22 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(50,axiom,
( ~ ssList(X)
| ~ totalorderedP(X)
| ~ ssItem(Y)
| ~ ssItem(Z)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| app(app(U,cons(Y,V)),cons(Z,W)) != X
| leq(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(51,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssItem('SKOLEMAAAT25'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(52,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssItem('SKOLEMAAAT26'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(53,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAT27'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(54,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAT28'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(55,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAT29'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(56,axiom,
( ~ ssList(X)
| totalorderedP(X)
| app(app('SKOLEMAAAT27'(X),cons('SKOLEMAAAT25'(X),'SKOLEMAAAT28'(X))),cons('SKOLEMAAAT26'(X),'SKOLEMAAAT29'(X))) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(57,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ~ leq('SKOLEMAAAT25'(X),'SKOLEMAAAT26'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(146,axiom,
( ~ ssItem(X)
| totalorderedP(cons(X,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax65) ).
cnf(147,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax66) ).
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('SKOLEMAAAT48'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAT48' = 'SKOLEMAAAT50',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
~ totalorderedP('SKOLEMAAAT48'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(197,negated_conjecture,
( ssItem('SKOLEMAAAT52')
| nil = 'SKOLEMAAAT50' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
( ssItem('SKOLEMAAAT52')
| nil = 'SKOLEMAAAT48' ),
inference('REWRITE',[status(thm)],[197,193,theory(equality)]) ).
cnf(201,negated_conjecture,
( cons('SKOLEMAAAT52',nil) = 'SKOLEMAAAT50'
| nil = 'SKOLEMAAAT50' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(202,plain,
( cons('SKOLEMAAAT52',nil) = 'SKOLEMAAAT48'
| nil = 'SKOLEMAAAT48' ),
inference('REWRITE',[status(thm)],[201,193,theory(equality)]) ).
cnf(248,plain,
( nil = 'SKOLEMAAAT48'
| totalorderedP(cons('SKOLEMAAAT52',nil)) ),
inference('HYPERRESOLVE',[status(thm)],[146,198]) ).
cnf(297,plain,
ssItem('SKOLEMAAAT25'('SKOLEMAAAT48')),
inference('UR-RESOLVE',[status(thm)],[51,188,194]) ).
cnf(299,plain,
ssItem('SKOLEMAAAT26'('SKOLEMAAAT48')),
inference('UR-RESOLVE',[status(thm)],[52,188,194]) ).
cnf(301,plain,
ssList('SKOLEMAAAT27'('SKOLEMAAAT48')),
inference('UR-RESOLVE',[status(thm)],[53,188,194]) ).
cnf(303,plain,
ssList('SKOLEMAAAT28'('SKOLEMAAAT48')),
inference('UR-RESOLVE',[status(thm)],[54,188,194]) ).
cnf(305,plain,
ssList('SKOLEMAAAT29'('SKOLEMAAAT48')),
inference('UR-RESOLVE',[status(thm)],[55,188,194]) ).
cnf(367,plain,
~ leq('SKOLEMAAAT25'('SKOLEMAAAT48'),'SKOLEMAAAT26'('SKOLEMAAAT48')),
inference('UR-RESOLVE',[status(thm)],[57,188,194]) ).
cnf(599,plain,
app(app('SKOLEMAAAT27'('SKOLEMAAAT48'),cons('SKOLEMAAAT25'('SKOLEMAAAT48'),'SKOLEMAAAT28'('SKOLEMAAAT48'))),cons('SKOLEMAAAT26'('SKOLEMAAAT48'),'SKOLEMAAAT29'('SKOLEMAAAT48'))) = 'SKOLEMAAAT48',
inference('UR-RESOLVE',[status(thm)],[56,188,194]) ).
cnf(1854,plain,
cons('SKOLEMAAAT25'('SKOLEMAAAT48'),'SKOLEMAAAT28'('SKOLEMAAAT48')) = app(cons('SKOLEMAAAT25'('SKOLEMAAAT48'),nil),'SKOLEMAAAT28'('SKOLEMAAAT48')),
inference('HYPERRESOLVE',[status(thm)],[170,303,297]) ).
cnf(1855,plain,
app(app('SKOLEMAAAT27'('SKOLEMAAAT48'),app(cons('SKOLEMAAAT25'('SKOLEMAAAT48'),nil),'SKOLEMAAAT28'('SKOLEMAAAT48'))),cons('SKOLEMAAAT26'('SKOLEMAAAT48'),'SKOLEMAAAT29'('SKOLEMAAAT48'))) = 'SKOLEMAAAT48',
inference('REWRITE',[status(thm)],[599,1854,theory(equality)]) ).
cnf(2556,plain,
cons('SKOLEMAAAT26'('SKOLEMAAAT48'),'SKOLEMAAAT29'('SKOLEMAAAT48')) = app(cons('SKOLEMAAAT26'('SKOLEMAAAT48'),nil),'SKOLEMAAAT29'('SKOLEMAAAT48')),
inference('HYPERRESOLVE',[status(thm)],[170,305,299]) ).
cnf(2557,plain,
app(app('SKOLEMAAAT27'('SKOLEMAAAT48'),app(cons('SKOLEMAAAT25'('SKOLEMAAAT48'),nil),'SKOLEMAAAT28'('SKOLEMAAAT48'))),app(cons('SKOLEMAAAT26'('SKOLEMAAAT48'),nil),'SKOLEMAAAT29'('SKOLEMAAAT48'))) = 'SKOLEMAAAT48',
inference('REWRITE',[status(thm)],[1855,2556,theory(equality)]) ).
cnf(33109,plain,
nil != 'SKOLEMAAAT48',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[50,367,84,147,297,299,301,303,305]),2557,2556,1854,theory(equality)]) ).
cnf(33132,plain,
cons('SKOLEMAAAT52',nil) = 'SKOLEMAAAT48',
inference('REWRITE',[status(thm)],[202,33109]) ).
cnf(33230,plain,
$false,
inference('REWRITE',[status(thm)],[248,194,33132,33109,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC276+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n016.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 01:49:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 *
% 0.20/0.50 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T01:49:42
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-12T01:49:42
% 158.84/159.02
% 158.84/159.02
% 158.84/159.02 #||
% 158.84/159.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 158.84/159.02 % SZS output start Refutation
% See solution above
% 158.84/159.02 ||#
% 158.84/159.02
% 158.84/159.02 ; Summary of computation:
% 158.84/159.02 ; 103561 formulas have been input or derived (from 262 formulas).
% 158.84/159.02 ; 33230 (32%) were retained. Of these,
% 158.84/159.02 ; 24380 (73%) were simplified or subsumed later,
% 158.84/159.02 ; 8850 (27%) are still being kept.
% 158.84/159.02 ;
% 158.84/159.02 ; Run time in seconds excluding printing time:
% 158.84/159.02 ; 0.015 0% Read assertion file (1 call)
% 158.84/159.02 ; 0.006 0% Assert (96 calls)
% 158.84/159.02 ; 3.362 2% Process new row (97,680 calls)
% 158.84/159.02 ; 146.975 93% Resolution (522 calls)
% 158.84/159.02 ; 0.002 0% Paramodulation (261 calls)
% 158.84/159.02 ; 0.000 0% Factoring (6 calls)
% 158.84/159.02 ; 0.006 0% Condensing (1,890 calls)
% 158.84/159.02 ; 0.142 0% Forward subsumption (1,890 calls)
% 158.84/159.02 ; 0.028 0% Backward subsumption (1,582 calls)
% 158.84/159.02 ; 0.009 0% Clause clause subsumption (3,681 calls)
% 158.84/159.02 ; 2.864 2% Forward simplification (97,680 calls)
% 158.84/159.02 ; 4.740 3% Backward simplification (33,224 calls)
% 158.84/159.02 ; 0.021 0% Ordering (4,797 calls)
% 158.84/159.02 ; 0.001 0% Sortal reasoning (32 calls)
% 158.84/159.02 ; 0.000 0% Purity testing (1 call)
% 158.84/159.02 ; 0.340 0% Other
% 158.84/159.02 ; 158.511 Total
% 158.84/159.02 ; 158.516 Real time
% 158.84/159.02 ;
% 158.84/159.02 ; Term-hash-array has 47,809 terms in all.
% 158.84/159.02 ; Feature-vector-row-index has 535 entries (1,545 at peak, 1,582 added, 1,047 deleted).
% 158.84/159.02 ; Feature-vector-row-index has 2,521 nodes (7,501 at peak, 7,801 added, 5,280 deleted).
% 158.84/159.02 ; Retrieved 7,641 possibly forward subsuming rows in 1,890 calls.
% 158.84/159.02 ; Retrieved 1,320 possibly backward subsumed rows in 1,582 calls.
% 158.84/159.02 ; Path-index has 13,233 entries (40,623 at peak, 48,062 added, 34,829 deleted).
% 158.84/159.02 ; Path-index has 4,916 nodes (6,024 at peak, 6,245 added, 1,329 deleted).
% 158.84/159.02 ; Trie-index has 13,233 entries (40,623 at peak, 48,062 added, 34,829 deleted).
% 158.84/159.02 ; Trie-index has 45,978 nodes (127,829 at peak, 150,800 added, 104,822 deleted).
% 158.84/159.02 ; Retrieved 219,109 generalization terms in 810,683 calls.
% 158.84/159.02 ; Retrieved 31,846 instance terms in 31,641 calls.
% 158.84/159.02 ; Retrieved 350,212,011 unifiable terms in 7,216,472 calls.
% 158.84/159.02 ;
% 158.84/159.02 ; The agenda of backward simplifiable rows to process has 291 entries:
% 158.84/159.02 ; 291 with value 0
% 158.84/159.02 ; The agenda of rows to process has 4559 entries:
% 158.84/159.02 ; 293 with value 23 1026 with value 25 648 with value 27
% 158.84/159.02 ; 972 with value 24 1188 with value 26 432 with value 28
% 158.84/159.02 ; The agenda of input rows to give has 4 entries:
% 158.84/159.02 ; 1 with value 3 2 with value 4 1 with value 7
% 158.84/159.02 ; The agenda of rows to give has 8604 entries:
% 158.84/159.02 ; 3 with value (4 4) 85 with value (4 15) 695 with value (4 26)
% 158.84/159.02 ; 5 with value (4 5) 176 with value (4 16) 922 with value (4 27)
% 158.84/159.02 ; 1 with value (4 6) 108 with value (4 17) 963 with value (4 28)
% 158.84/159.02 ; 4 with value (4 7) 145 with value (4 18) 825 with value (4 29)
% 158.84/159.02 ; 29 with value (4 8) 158 with value (4 19) 687 with value (4 30)
% 158.84/159.02 ; 58 with value (4 9) 120 with value (4 20) 525 with value (4 31)
% 158.84/159.02 ; 35 with value (4 10) 244 with value (4 21) 324 with value (4 32)
% 158.84/159.02 ; 64 with value (4 11) 244 with value (4 22) 108 with value (4 33)
% 158.84/159.02 ; 71 with value (4 12) 491 with value (4 23) 18 with value (4 35)
% 158.84/159.02 ; 75 with value (4 13) 516 with value (4 24) 1 with value (4 37)
% 158.84/159.02 ; 176 with value (4 14) 722 with value (4 25) 6 with value (4 42)
% 158.84/159.02 Evaluation took:
% 158.84/159.02 158.518 seconds of real time
% 158.84/159.02 157.08394 seconds of user run time
% 158.84/159.02 1.431026 seconds of system run time
% 158.84/159.02 [Run times include 15.395 seconds GC run time.]
% 158.84/159.02 0 calls to %EVAL
% 158.84/159.02 0 page faults and
% 158.84/159.02 16,656,071,856 bytes consed.
% 158.84/159.02 :PROOF-FOUND
% 158.84/159.02 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T01:52:21
% 158.84/159.02 :PROOF-FOUND
% 158.84/159.02 *
%------------------------------------------------------------------------------