TSTP Solution File: SWC068+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC068+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 21:56:42 EDT 2022
% Result : Theorem 0.84s 1.04s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 15 unt; 2 nHn; 23 RR)
% Number of literals : 39 ( 14 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(98,axiom,
( ~ ssList(X)
| app(nil,X) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
cnf(135,axiom,
( ~ ssList(X)
| segmentP(X,X) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
cnf(175,axiom,
( ~ ssList(X)
| app(X,nil) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
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,
app('SKOLEMAAAV51','SKOLEMAAAV51') = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAV49' = 'SKOLEMAAAV51',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( ~ ssList(X)
| ~ neq(X,nil)
| ~ segmentP('SKOLEMAAAV49',X)
| ~ segmentP('SKOLEMAAAV48',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(196,negated_conjecture,
( nil != 'SKOLEMAAAV49'
| nil != 'SKOLEMAAAV48' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(197,plain,
app('SKOLEMAAAV49','SKOLEMAAAV49') = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[192,194,193,theory(equality)]) ).
cnf(212,plain,
segmentP('SKOLEMAAAV49','SKOLEMAAAV49'),
inference('HYPERRESOLVE',[status(thm)],[135,189]) ).
cnf(237,plain,
app(nil,nil) = nil,
inference('HYPERRESOLVE',[status(thm)],[98,84]) ).
cnf(239,plain,
app('SKOLEMAAAV48',nil) = 'SKOLEMAAAV48',
inference('HYPERRESOLVE',[status(thm)],[175,188]) ).
cnf(353,plain,
( neq('SKOLEMAAAV49',nil)
| nil = 'SKOLEMAAAV49' ),
inference('HYPERRESOLVE',[status(thm)],[82,189,84]) ).
cnf(636,plain,
segmentP('SKOLEMAAAV48','SKOLEMAAAV49'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,212,189,189,189,84]),239,197,theory(equality)]) ).
cnf(677,plain,
~ neq('SKOLEMAAAV49',nil),
inference('UR-RESOLVE',[status(thm)],[195,636,189,212]) ).
cnf(678,plain,
nil = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[353,677]) ).
cnf(681,plain,
nil != 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[196,678,theory(equality)]) ).
cnf(697,plain,
$false,
inference('REWRITE',[status(thm)],[197,681,237,678,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC068+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 12 13:07:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T13:07:35
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T13:07:35
% 0.84/1.04
% 0.84/1.04
% 0.84/1.04 #||
% 0.84/1.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.04 % SZS output start Refutation
% See solution above
% 0.84/1.04 ||#
% 0.84/1.04
% 0.84/1.04 ; Summary of computation:
% 0.84/1.04 ; 1932 formulas have been input or derived (from 230 formulas).
% 0.84/1.04 ; 697 (36%) were retained. Of these,
% 0.84/1.04 ; 289 (41%) were simplified or subsumed later,
% 0.84/1.04 ; 408 (59%) are still being kept.
% 0.84/1.04 ;
% 0.84/1.04 ; Run time in seconds excluding printing time:
% 0.84/1.04 ; 0.026 5% Read assertion file (1 call)
% 0.84/1.04 ; 0.008 1% Assert (96 calls)
% 0.84/1.04 ; 0.051 9% Process new row (1,533 calls)
% 0.84/1.04 ; 0.384 70% Resolution (458 calls)
% 0.84/1.04 ; 0.004 1% Paramodulation (229 calls)
% 0.84/1.04 ; 0.005 1% Condensing (313 calls)
% 0.84/1.04 ; 0.004 1% Forward subsumption (313 calls)
% 0.84/1.04 ; 0.002 0% Backward subsumption (309 calls)
% 0.84/1.04 ; 0.000 0% Clause clause subsumption (77 calls)
% 0.84/1.04 ; 0.023 4% Forward simplification (1,533 calls)
% 0.84/1.04 ; 0.012 2% Backward simplification (697 calls)
% 0.84/1.04 ; 0.000 0% Ordering (355 calls)
% 0.84/1.04 ; 0.002 0% Sortal reasoning (32 calls)
% 0.84/1.04 ; 0.000 0% Purity testing (1 call)
% 0.84/1.04 ; 0.026 5% Other
% 0.84/1.04 ; 0.547 Total
% 0.84/1.04 ; 0.549 Real time
% 0.84/1.04 ;
% 0.84/1.04 ; Term-hash-array has 1,207 terms in all.
% 0.84/1.04 ; Feature-vector-row-index has 220 entries (308 at peak, 309 added, 89 deleted).
% 0.84/1.04 ; Feature-vector-row-index has 833 nodes (1,223 at peak, 1,228 added, 395 deleted).
% 0.84/1.04 ; Retrieved 147 possibly forward subsuming rows in 313 calls.
% 0.84/1.04 ; Retrieved 96 possibly backward subsumed rows in 309 calls.
% 0.84/1.04 ; Path-index has 723 entries (1,181 at peak, 1,244 added, 521 deleted).
% 0.84/1.04 ; Path-index has 1,483 nodes (1,796 at peak, 1,845 added, 362 deleted).
% 0.84/1.04 ; Trie-index has 723 entries (1,181 at peak, 1,244 added, 521 deleted).
% 0.84/1.04 ; Trie-index has 2,122 nodes (3,317 at peak, 3,421 added, 1,299 deleted).
% 0.84/1.04 ; Retrieved 1,590 generalization terms in 5,347 calls.
% 0.84/1.04 ; Retrieved 390 instance terms in 387 calls.
% 0.84/1.04 ; Retrieved 901,506 unifiable terms in 27,114 calls.
% 0.84/1.04 ;
% 0.84/1.04 ; The agenda of backward simplifiable rows to process has 237 entries:
% 0.84/1.04 ; 237 with value 0
% 0.84/1.04 ; The agenda of rows to process has 26 entries:
% 0.84/1.04 ; 3 with value 7 18 with value 13 1 with value 18
% 0.84/1.04 ; 4 with value 9
% 0.84/1.04 ; The agenda of input rows to give has 3 entries:
% 0.84/1.04 ; 2 with value 4 1 with value 15
% 0.84/1.04 ; The agenda of rows to give has 190 entries:
% 0.84/1.04 ; 3 with value (4 5) 15 with value (4 11) 7 with value (4 17)
% 0.84/1.04 ; 4 with value (4 6) 12 with value (4 12) 8 with value (4 18)
% 0.84/1.04 ; 17 with value (4 7) 17 with value (4 13) 4 with value (4 19)
% 0.84/1.04 ; 21 with value (4 8) 6 with value (4 14) 4 with value (4 21)
% 0.84/1.04 ; 42 with value (4 9) 8 with value (4 15) 1 with value (4 22)
% 0.84/1.04 ; 9 with value (4 10) 6 with value (4 16) 6 with value (4 25)
% 0.84/1.04 Evaluation took:
% 0.84/1.04 0.549 seconds of real time
% 0.84/1.04 0.520738 seconds of user run time
% 0.84/1.04 0.028785 seconds of system run time
% 0.84/1.04 [Run times include 0.025 seconds GC run time.]
% 0.84/1.04 0 calls to %EVAL
% 0.84/1.04 0 page faults and
% 0.84/1.04 48,004,128 bytes consed.
% 0.84/1.04 :PROOF-FOUND
% 0.84/1.04 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T13:07:36
% 0.84/1.04 :PROOF-FOUND
% 0.84/1.04 *
%------------------------------------------------------------------------------