TSTP Solution File: SWC076+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC076+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 21:56:45 EDT 2022
% Result : Theorem 1.94s 2.18s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 15 unt; 2 nHn; 23 RR)
% Number of literals : 39 ( 15 equ; 17 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(135,axiom,
( ~ ssList(X)
| segmentP(X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
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,
( ~ ssList(X)
| ~ neq(X,nil)
| ~ segmentP('SKOLEMAAAV49',X)
| ~ segmentP('SKOLEMAAAV48',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
ssList('SKOLEMAAAV52'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(196,negated_conjecture,
ssList('SKOLEMAAAV53'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(197,negated_conjecture,
app(app('SKOLEMAAAV52','SKOLEMAAAV50'),'SKOLEMAAAV53') = 'SKOLEMAAAV51',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
app(app('SKOLEMAAAV52','SKOLEMAAAV48'),'SKOLEMAAAV53') = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[197,192,193,theory(equality)]) ).
cnf(205,negated_conjecture,
( nil = 'SKOLEMAAAV51'
| nil != 'SKOLEMAAAV50' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(206,plain,
( nil = 'SKOLEMAAAV49'
| nil != 'SKOLEMAAAV48' ),
inference('REWRITE',[status(thm)],[205,193,192,theory(equality)]) ).
cnf(207,negated_conjecture,
( nil != 'SKOLEMAAAV49'
| nil != 'SKOLEMAAAV48' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(233,plain,
segmentP('SKOLEMAAAV48','SKOLEMAAAV48'),
inference('HYPERRESOLVE',[status(thm)],[135,188]) ).
cnf(502,plain,
( neq('SKOLEMAAAV48',nil)
| nil = 'SKOLEMAAAV48' ),
inference('HYPERRESOLVE',[status(thm)],[82,188,84]) ).
cnf(862,plain,
segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
inference('HYPERRESOLVE',[status(thm)],[22,189,188,195,196,198]) ).
cnf(1606,plain,
~ neq('SKOLEMAAAV48',nil),
inference('UR-RESOLVE',[status(thm)],[194,862,188,233]) ).
cnf(1607,plain,
nil = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[502,1606]) ).
cnf(1631,plain,
nil = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[206,1607,theory(equality)]) ).
cnf(1637,plain,
$false,
inference('REWRITE',[status(thm)],[207,1631,1607,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC076+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 12 03:41:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T03:41:04
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-12T03:41:04
% 1.94/2.18
% 1.94/2.18
% 1.94/2.18 #||
% 1.94/2.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/2.18 % SZS output start Refutation
% See solution above
% 1.94/2.18 ||#
% 1.94/2.18
% 1.94/2.18 ; Summary of computation:
% 1.94/2.18 ; 5612 formulas have been input or derived (from 248 formulas).
% 1.94/2.18 ; 1637 (29%) were retained. Of these,
% 1.94/2.18 ; 1376 (84%) were simplified or subsumed later,
% 1.94/2.18 ; 261 (16%) are still being kept.
% 1.94/2.18 ;
% 1.94/2.18 ; Run time in seconds excluding printing time:
% 1.94/2.18 ; 0.027 2% Read assertion file (1 call)
% 1.94/2.18 ; 0.008 0% Assert (96 calls)
% 1.94/2.18 ; 0.097 6% Process new row (4,739 calls)
% 1.94/2.18 ; 1.334 81% Resolution (494 calls)
% 1.94/2.18 ; 0.006 0% Paramodulation (247 calls)
% 1.94/2.18 ; 0.008 0% Condensing (476 calls)
% 1.94/2.18 ; 0.004 0% Forward subsumption (476 calls)
% 1.94/2.18 ; 0.004 0% Backward subsumption (463 calls)
% 1.94/2.18 ; 0.001 0% Clause clause subsumption (107 calls)
% 1.94/2.18 ; 0.058 4% Forward simplification (4,739 calls)
% 1.94/2.18 ; 0.052 3% Backward simplification (1,632 calls)
% 1.94/2.18 ; 0.001 0% Ordering (697 calls)
% 1.94/2.18 ; 0.000 0% Sortal reasoning (32 calls)
% 1.94/2.18 ; 0.001 0% Purity testing (1 call)
% 1.94/2.18 ; 0.042 3% Other
% 1.94/2.18 ; 1.643 Total
% 1.94/2.18 ; 1.690 Real time
% 1.94/2.18 ;
% 1.94/2.18 ; Term-hash-array has 2,879 terms in all.
% 1.94/2.18 ; Feature-vector-row-index has 177 entries (456 at peak, 463 added, 286 deleted).
% 1.94/2.18 ; Feature-vector-row-index has 611 nodes (1,968 at peak, 2,019 added, 1,408 deleted).
% 1.94/2.18 ; Retrieved 178 possibly forward subsuming rows in 476 calls.
% 1.94/2.18 ; Retrieved 122 possibly backward subsumed rows in 463 calls.
% 1.94/2.18 ; Path-index has 435 entries (2,806 at peak, 2,907 added, 2,472 deleted).
% 1.94/2.18 ; Path-index has 1,131 nodes (2,400 at peak, 2,426 added, 1,295 deleted).
% 1.94/2.18 ; Trie-index has 435 entries (2,806 at peak, 2,907 added, 2,472 deleted).
% 1.94/2.18 ; Trie-index has 1,146 nodes (7,277 at peak, 7,416 added, 6,270 deleted).
% 1.94/2.18 ; Retrieved 6,959 generalization terms in 21,991 calls.
% 1.94/2.18 ; Retrieved 1,186 instance terms in 1,168 calls.
% 1.94/2.18 ; Retrieved 3,931,051 unifiable terms in 92,523 calls.
% 1.94/2.18 ;
% 1.94/2.18 ; The agenda of backward simplifiable rows to process has 543 entries:
% 1.94/2.18 ; 543 with value 0
% 1.94/2.18 ; The agenda of rows to process has 58 entries:
% 1.94/2.18 ; 3 with value 6 50 with value 12 1 with value 17
% 1.94/2.18 ; 4 with value 8
% 1.94/2.18 ; The agenda of input rows to give has 6 entries:
% 1.94/2.18 ; 4 with value 4 1 with value 11 1 with value 29
% 1.94/2.18 ; The agenda of rows to give has 49 entries:
% 1.94/2.18 ; 2 with value (4 5) 7 with value (4 10) 2 with value (4 14)
% 1.94/2.18 ; 16 with value (4 7) 2 with value (4 11) 2 with value (4 16)
% 1.94/2.18 ; 9 with value (4 8) 4 with value (4 12) 1 with value (4 17)
% 1.94/2.18 ; 2 with value (4 9) 2 with value (4 13)
% 1.94/2.18 Evaluation took:
% 1.94/2.18 1.691 seconds of real time
% 1.94/2.18 1.596049 seconds of user run time
% 1.94/2.18 0.048943 seconds of system run time
% 1.94/2.18 [Run times include 0.062 seconds GC run time.]
% 1.94/2.18 0 calls to %EVAL
% 1.94/2.18 0 page faults and
% 1.94/2.18 156,850,544 bytes consed.
% 1.94/2.18 :PROOF-FOUND
% 1.94/2.18 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T03:41:05
% 1.94/2.18 :PROOF-FOUND
% 1.94/2.18 *
%------------------------------------------------------------------------------