TSTP Solution File: SWC122+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC122+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 21:57:02 EDT 2022
% Result : Theorem 131.24s 131.45s
% Output : Refutation 131.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 22 RR)
% Number of literals : 38 ( 6 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ rearsegP(X,Y)
| ssList('SKOLEMAAAU7'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
cnf(17,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ rearsegP(X,Y)
| app('SKOLEMAAAU7'(Y,X),Y) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(135,axiom,
( ~ ssList(X)
| segmentP(X,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
cnf(136,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ segmentP(X,Y)
| segmentP(app(app(Z,X),U),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
cnf(175,axiom,
( ~ ssList(X)
| app(X,nil) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
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,
neq('SKOLEMAAAU49',nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(197,negated_conjecture,
( ~ neq('SKOLEMAAAU48',nil)
| ~ segmentP('SKOLEMAAAU49','SKOLEMAAAU48') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(198,negated_conjecture,
( ~ neq('SKOLEMAAAU51',nil)
| neq('SKOLEMAAAU50',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(199,plain,
neq('SKOLEMAAAU48',nil),
inference('REWRITE',[status(thm)],[198,193,194,192,theory(equality)]) ).
cnf(200,negated_conjecture,
( ~ neq('SKOLEMAAAU51',nil)
| rearsegP('SKOLEMAAAU51','SKOLEMAAAU50') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(201,plain,
rearsegP('SKOLEMAAAU49','SKOLEMAAAU48'),
inference('REWRITE',[status(thm)],[200,193,194,192,theory(equality)]) ).
cnf(202,plain,
~ segmentP('SKOLEMAAAU49','SKOLEMAAAU48'),
inference('REWRITE',[status(thm)],[197,199]) ).
cnf(218,plain,
segmentP('SKOLEMAAAU48','SKOLEMAAAU48'),
inference('HYPERRESOLVE',[status(thm)],[135,188]) ).
cnf(243,plain,
app('SKOLEMAAAU49',nil) = 'SKOLEMAAAU49',
inference('HYPERRESOLVE',[status(thm)],[175,189]) ).
cnf(394,plain,
ssList('SKOLEMAAAU7'('SKOLEMAAAU48','SKOLEMAAAU49')),
inference('HYPERRESOLVE',[status(thm)],[16,189,188,201]) ).
cnf(425,plain,
app('SKOLEMAAAU7'('SKOLEMAAAU48','SKOLEMAAAU49'),'SKOLEMAAAU48') = 'SKOLEMAAAU49',
inference('HYPERRESOLVE',[status(thm)],[17,189,188,201]) ).
cnf(27386,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,394,188,188,84,218]),202,243,425,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC122+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n010.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 23:30:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T23:30:25
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-12T23:30:25
% 131.24/131.45
% 131.24/131.45
% 131.24/131.45 #||
% 131.24/131.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 131.24/131.45 % SZS output start Refutation
% See solution above
% 131.24/131.45 ||#
% 131.24/131.45
% 131.24/131.45 ; Summary of computation:
% 131.24/131.45 ; 83201 formulas have been input or derived (from 272 formulas).
% 131.24/131.45 ; 27386 (33%) were retained. Of these,
% 131.24/131.45 ; 6172 (23%) were simplified or subsumed later,
% 131.24/131.45 ; 21214 (77%) are still being kept.
% 131.24/131.45 ;
% 131.24/131.45 ; Run time in seconds excluding printing time:
% 131.24/131.45 ; 0.026 0% Read assertion file (1 call)
% 131.24/131.45 ; 0.008 0% Assert (96 calls)
% 131.24/131.45 ; 2.363 2% Process new row (67,478 calls)
% 131.24/131.45 ; 124.137 95% Resolution (542 calls)
% 131.24/131.45 ; 0.010 0% Paramodulation (271 calls)
% 131.24/131.45 ; 0.009 0% Condensing (976 calls)
% 131.24/131.45 ; 0.028 0% Forward subsumption (976 calls)
% 131.24/131.45 ; 0.018 0% Backward subsumption (823 calls)
% 131.24/131.45 ; 0.002 0% Clause clause subsumption (541 calls)
% 131.24/131.45 ; 2.219 2% Forward simplification (67,073 calls)
% 131.24/131.45 ; 1.878 1% Backward simplification (27,383 calls)
% 131.24/131.45 ; 0.014 0% Ordering (3,330 calls)
% 131.24/131.45 ; 0.000 0% Sortal reasoning (32 calls)
% 131.24/131.45 ; 0.001 0% Purity testing (1 call)
% 131.24/131.45 ; 0.268 0% Other
% 131.24/131.45 ; 130.981 Total
% 131.24/131.45 ; 130.995 Real time
% 131.24/131.45 ;
% 131.24/131.45 ; Term-hash-array has 39,201 terms in all.
% 131.24/131.45 ; Feature-vector-row-index has 653 entries (653 at peak, 823 added, 170 deleted).
% 131.24/131.45 ; Feature-vector-row-index has 3,064 nodes (3,064 at peak, 4,047 added, 983 deleted).
% 131.24/131.45 ; Retrieved 565 possibly forward subsuming rows in 976 calls.
% 131.24/131.45 ; Retrieved 274 possibly backward subsumed rows in 823 calls.
% 131.24/131.45 ; Path-index has 30,704 entries (30,704 at peak, 39,481 added, 8,777 deleted).
% 131.24/131.45 ; Path-index has 5,663 nodes (5,663 at peak, 6,700 added, 1,037 deleted).
% 131.24/131.45 ; Trie-index has 30,704 entries (30,704 at peak, 39,481 added, 8,777 deleted).
% 131.24/131.45 ; Trie-index has 94,754 nodes (94,754 at peak, 122,872 added, 28,118 deleted).
% 131.24/131.45 ; Retrieved 140,499 generalization terms in 596,366 calls.
% 131.24/131.45 ; Retrieved 26,833 instance terms in 26,559 calls.
% 131.24/131.45 ; Retrieved 289,093,626 unifiable terms in 6,539,422 calls.
% 131.24/131.45 ;
% 131.24/131.45 ; The agenda of rows to process has 14708 entries:
% 131.24/131.45 ; 56 with value 15 916 with value 21 562 with value 27
% 131.24/131.45 ; 172 with value 16 1214 with value 22 590 with value 28
% 131.24/131.45 ; 206 with value 17 1917 with value 23 294 with value 29
% 131.24/131.45 ; 44 with value 18 3099 with value 24 14 with value 30
% 131.24/131.45 ; 169 with value 19 2006 with value 25 1 with value 37
% 131.24/131.45 ; 225 with value 20 3217 with value 26 6 with value 42
% 131.24/131.45 ; The agenda of rows to give has 20947 entries:
% 131.24/131.45 ; 56 with value (4 8) 310 with value (4 18) 2404 with value (4 28)
% 131.24/131.45 ; 164 with value (4 9) 400 with value (4 19) 2120 with value (4 29)
% 131.24/131.45 ; 48 with value (4 10) 254 with value (4 20) 1952 with value (4 30)
% 131.24/131.45 ; 158 with value (4 11) 578 with value (4 21) 1562 with value (4 31)
% 131.24/131.45 ; 190 with value (4 12) 528 with value (4 22) 576 with value (4 32)
% 131.24/131.45 ; 156 with value (4 13) 1078 with value (4 23) 864 with value (4 33)
% 131.24/131.45 ; 330 with value (4 14) 1260 with value (4 24) 12 with value (4 35)
% 131.24/131.45 ; 166 with value (4 15) 1452 with value (4 25) 4 with value (4 37)
% 131.24/131.45 ; 478 with value (4 16) 1848 with value (4 26) 24 with value (4 42)
% 131.24/131.45 ; 417 with value (4 17) 1558 with value (4 27)
% 131.24/131.45 Evaluation took:
% 131.24/131.45 130.997 seconds of real time
% 131.24/131.45 129.89928 seconds of user run time
% 131.24/131.45 1.084798 seconds of system run time
% 131.24/131.45 [Run times include 10.993 seconds GC run time.]
% 131.24/131.45 0 calls to %EVAL
% 131.24/131.45 0 page faults and
% 131.24/131.45 13,860,160,152 bytes consed.
% 131.24/131.45 :PROOF-FOUND
% 131.24/131.45 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T23:32:36
% 131.24/131.45 :PROOF-FOUND
% 131.24/131.45 *
%------------------------------------------------------------------------------