TSTP Solution File: SEV515+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 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 18:10:48 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 10 unt; 17 nHn; 28 RR)
% Number of literals : 108 ( 0 equ; 30 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ g_true_only(X,'SKOLEMAAAW1')
| ~ g_both(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(2,negated_conjecture,
( ~ g_true_only(X,'SKOLEMAAAW1')
| ~ g_true_only(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(3,negated_conjecture,
( ~ g_both(X,'SKOLEMAAAW1')
| ~ g_false_only(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(4,negated_conjecture,
( ~ g_both(X,'SKOLEMAAAW1')
| ~ g_true_only(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(5,negated_conjecture,
( ~ g_false_only(X,'SKOLEMAAAW1')
| ~ g_false_only(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(6,negated_conjecture,
( ~ g_false_only(X,'SKOLEMAAAW1')
| ~ g_both(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(14,negated_conjecture,
( ~ g_both(X,Y)
| ~ g_both(X,X)
| g_true_only('SKOLEMAAAW2'(Y),Y)
| g_both('SKOLEMAAAW2'(Y),Y)
| g_false_only('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_both('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_false_only(Z,Z)
| g_true_only(Z,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(18,negated_conjecture,
( ~ g_both(X,Y)
| ~ g_both(X,X)
| g_true_only('SKOLEMAAAW2'(Y),Y)
| g_false_only('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_true_only('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_false_only('SKOLEMAAAW2'(Y),Y)
| g_false_only(Z,Z)
| g_true_only(Z,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(19,plain,
( ~ g_both(X,Y)
| ~ g_both(X,X)
| g_true_only('SKOLEMAAAW2'(Y),Y)
| g_false_only('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_true_only('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_false_only('SKOLEMAAAW2'(Y),Y) ),
inference('CONDENSE',[status(thm)],[18]) ).
cnf(28,negated_conjecture,
( ~ g_both(X,Y)
| ~ g_both(X,X)
| g_both('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_true_only('SKOLEMAAAW2'(Y),'SKOLEMAAAW2'(Y))
| g_both('SKOLEMAAAW2'(Y),Y)
| g_false_only('SKOLEMAAAW2'(Y),Y)
| g_false_only(Z,Z)
| g_true_only(Z,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
cnf(45,axiom,
( ~ g_true_only(X,Y)
| ~ g_false(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_only_g) ).
cnf(47,axiom,
( ~ g_both(X,Y)
| g_true(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
cnf(48,axiom,
( ~ g_both(X,Y)
| g_false(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
cnf(51,axiom,
( ~ g_false_only(X,Y)
| ~ g_true(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_only_g) ).
cnf(53,axiom,
( g_true_only(X,Y)
| g_both(X,Y)
| g_false_only(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
cnf(55,plain,
( g_both(X,'SKOLEMAAAW1')
| g_false_only(X,'SKOLEMAAAW1')
| g_both(X,X)
| g_false_only(X,X) ),
inference('HYPERRESOLVE',[status(thm)],[2,53,53]) ).
cnf(56,plain,
g_both('SKOLEMAAAW1','SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[5,55,55]) ).
cnf(61,plain,
~ g_false_only('SKOLEMAAAW1','SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[6,56]) ).
cnf(63,plain,
( g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[19,56,56]) ).
cnf(64,plain,
( g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only(X,X)
| g_true_only(X,X) ),
inference('HYPERRESOLVE',[status(thm)],[28,56,56]) ).
cnf(68,plain,
( g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_false_only(X,X)
| g_true_only(X,X) ),
inference('HYPERRESOLVE',[status(thm)],[14,56,56]) ).
cnf(76,plain,
( g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only(X,X)
| g_true_only(X,X) ),
inference('HYPERRESOLVE',[status(thm)],[2,64,53]) ).
cnf(77,plain,
( g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,76,76]),61]) ).
cnf(79,plain,
( g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_false_only(X,X)
| g_true_only(X,X) ),
inference('HYPERRESOLVE',[status(thm)],[2,68,53]) ).
cnf(80,plain,
( g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,79,79]),61]) ).
cnf(81,plain,
( g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1')) ),
inference('HYPERRESOLVE',[status(thm)],[5,80,77]) ).
cnf(82,plain,
( g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[1,81,53]) ).
cnf(94,plain,
g_both('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[6,82,81]) ).
cnf(95,plain,
g_false('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[48,94]) ).
cnf(96,plain,
g_true('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[47,94]) ).
cnf(97,plain,
~ g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[4,94]) ).
cnf(98,plain,
( g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1'))
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[63,97]) ).
cnf(99,plain,
~ g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW2'('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[3,94]) ).
cnf(100,plain,
( g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1')
| g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[98,99]) ).
cnf(102,plain,
~ g_true_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[45,95]) ).
cnf(103,plain,
g_false_only('SKOLEMAAAW2'('SKOLEMAAAW1'),'SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[100,102]) ).
cnf(104,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[51,103]),96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.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 : Tue Jun 28 12:15:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T12:15:01
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-28T12:15:01
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 280 formulas have been input or derived (from 51 formulas).
% 0.19/0.55 ; 104 (37%) were retained. Of these,
% 0.19/0.55 ; 60 (58%) were simplified or subsumed later,
% 0.19/0.55 ; 44 (42%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.003 4% Read assertion file (1 call)
% 0.19/0.55 ; 0.002 3% Assert (5 calls)
% 0.19/0.55 ; 0.005 7% Process new row (213 calls)
% 0.19/0.55 ; 0.008 11% Resolution (100 calls)
% 0.19/0.55 ; 0.001 1% Paramodulation (50 calls)
% 0.19/0.55 ; 0.001 1% Factoring (18 calls)
% 0.19/0.55 ; 0.001 1% Condensing (128 calls)
% 0.19/0.55 ; 0.006 8% Forward subsumption (128 calls)
% 0.19/0.55 ; 0.009 13% Backward subsumption (85 calls)
% 0.19/0.55 ; 0.004 6% Clause clause subsumption (286 calls)
% 0.19/0.55 ; 0.008 11% Forward simplification (175 calls)
% 0.19/0.55 ; 0.000 0% Backward simplification (99 calls)
% 0.19/0.55 ; 0.001 1% Ordering (267 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.022 31% Other
% 0.19/0.55 ; 0.071 Total
% 0.19/0.55 ; 0.077 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 49 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 30 entries (47 at peak, 85 added, 55 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 71 nodes (177 at peak, 350 added, 279 deleted).
% 0.19/0.55 ; Retrieved 283 possibly forward subsuming rows in 128 calls.
% 0.19/0.55 ; Retrieved 93 possibly backward subsumed rows in 85 calls.
% 0.19/0.55 ; Path-index has 40 entries (50 at peak, 64 added, 24 deleted).
% 0.19/0.55 ; Path-index has 74 nodes (83 at peak, 89 added, 15 deleted).
% 0.19/0.55 ; Trie-index has 40 entries (50 at peak, 64 added, 24 deleted).
% 0.19/0.55 ; Trie-index has 70 nodes (93 at peak, 111 added, 41 deleted).
% 0.19/0.55 ; Retrieved 56 generalization terms in 433 calls.
% 0.19/0.55 ; Retrieved 13 instance terms in 13 calls.
% 0.19/0.55 ; Retrieved 1,785 unifiable terms in 547 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 6 entries:
% 0.19/0.55 ; 1 with value 10 1 with value 16 2 with value 23
% 0.19/0.55 ; 2 with value 11
% 0.19/0.55 ; The agenda of rows to give has 5 entries:
% 0.19/0.55 ; 1 with value (4 15) 4 with value (4 16)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.077 seconds of real time
% 0.19/0.55 0.063163 seconds of user run time
% 0.19/0.55 0.013938 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 7,186,440 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T12:15:01
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------