TSTP Solution File: SYN059+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 11:57:09 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of clauses : 45 ( 11 unt; 21 nHn; 45 RR)
% Number of literals : 107 ( 0 equ; 41 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
big_f('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_1) ).
cnf(2,axiom,
big_g('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_2) ).
cnf(3,negated_conjecture,
( big_f('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4')
| big_f('SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(4,negated_conjecture,
( big_f('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4')
| big_g('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(5,negated_conjecture,
( big_f('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4')
| ~ big_h('SKOLEMAAAV5')
| ~ big_j('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(6,negated_conjecture,
( big_f('SKOLEMAAAV3')
| ~ big_j('SKOLEMAAAV4')
| big_f('SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(7,negated_conjecture,
( big_f('SKOLEMAAAV3')
| ~ big_j('SKOLEMAAAV4')
| big_g('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(8,negated_conjecture,
( big_f('SKOLEMAAAV3')
| ~ big_j('SKOLEMAAAV4')
| ~ big_h('SKOLEMAAAV5')
| ~ big_j('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(9,negated_conjecture,
( ~ big_h('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4')
| big_f('SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(10,negated_conjecture,
( ~ big_h('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4')
| big_g('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(11,negated_conjecture,
( ~ big_h('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4')
| ~ big_h('SKOLEMAAAV5')
| ~ big_j('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(12,negated_conjecture,
( ~ big_h('SKOLEMAAAV3')
| ~ big_j('SKOLEMAAAV4')
| big_f('SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(13,negated_conjecture,
( ~ big_h('SKOLEMAAAV3')
| ~ big_j('SKOLEMAAAV4')
| big_g('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(14,negated_conjecture,
( ~ big_h('SKOLEMAAAV3')
| ~ big_j('SKOLEMAAAV4')
| ~ big_h('SKOLEMAAAV5')
| ~ big_j('SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(15,negated_conjecture,
( ~ big_f(X)
| big_h(X)
| ~ big_f(Y)
| ~ big_g(Z)
| big_h(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(16,plain,
( ~ big_f(X)
| ~ big_g(Y)
| big_h(X) ),
inference('CONDENSE',[status(thm)],[15]) ).
cnf(19,negated_conjecture,
( ~ big_g(X)
| big_j(X)
| ~ big_f(Y)
| ~ big_g(Z)
| big_j(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
cnf(20,plain,
( ~ big_f(X)
| ~ big_g(Y)
| big_j(Y) ),
inference('CONDENSE',[status(thm)],[19]) ).
cnf(23,plain,
( big_f('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4')
| big_j('SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[20,1,4]) ).
cnf(24,plain,
( big_f('SKOLEMAAAV3')
| big_f('SKOLEMAAAV5')
| big_j('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[20,1,3]) ).
cnf(25,plain,
( big_f('SKOLEMAAAV3')
| big_f('SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[6,24]) ).
cnf(26,plain,
( big_f('SKOLEMAAAV3')
| big_h('SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[16,25,2]) ).
cnf(27,plain,
( big_f('SKOLEMAAAV3')
| big_g('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[5,26,23]) ).
cnf(28,plain,
( big_f('SKOLEMAAAV3')
| big_j('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[20,27,25]) ).
cnf(29,plain,
( big_f('SKOLEMAAAV3')
| big_g('SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[7,28]) ).
cnf(30,plain,
( big_f('SKOLEMAAAV3')
| big_j('SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[20,29,25]) ).
cnf(31,plain,
big_f('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[8,30,28,26]) ).
cnf(32,plain,
big_h('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[16,31,2]) ).
cnf(33,plain,
( big_g('SKOLEMAAAV4')
| big_f('SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[9,32]) ).
cnf(34,plain,
( big_g('SKOLEMAAAV4')
| big_g('SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[10,32]) ).
cnf(35,plain,
( big_g('SKOLEMAAAV4')
| ~ big_h('SKOLEMAAAV5')
| ~ big_j('SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[11,32]) ).
cnf(36,plain,
( ~ big_j('SKOLEMAAAV4')
| big_f('SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[12,32]) ).
cnf(37,plain,
( ~ big_j('SKOLEMAAAV4')
| big_g('SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[13,32]) ).
cnf(38,plain,
( ~ big_j('SKOLEMAAAV4')
| ~ big_h('SKOLEMAAAV5')
| ~ big_j('SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[14,32]) ).
cnf(39,plain,
( big_f('SKOLEMAAAV5')
| big_j('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[20,33,1]) ).
cnf(40,plain,
( big_g('SKOLEMAAAV4')
| big_j('SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[20,34,1]) ).
cnf(41,plain,
big_f('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[36,39]) ).
cnf(42,plain,
big_h('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[16,41,2]) ).
cnf(43,plain,
( big_g('SKOLEMAAAV4')
| ~ big_j('SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[35,42]) ).
cnf(44,plain,
( ~ big_j('SKOLEMAAAV4')
| ~ big_j('SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[38,42]) ).
cnf(45,plain,
big_g('SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[43,40]) ).
cnf(46,plain,
big_j('SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[20,45,41]) ).
cnf(47,plain,
big_g('SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[37,46]) ).
cnf(48,plain,
~ big_j('SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[44,46]) ).
cnf(49,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[20,47,1]),48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 00:49:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.49 #<PACKAGE "SNARK-USER">
% 0.19/0.49 *
% 0.19/0.49 SNARK-TPTP-OPTIONS
% 0.19/0.49 *
% 0.19/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49 (USE-FACTORING :POS)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49 *
% 0.19/0.49 "."
% 0.19/0.49 *
% 0.19/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:49:29
% 0.19/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-12T00:49:29
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 102 formulas have been input or derived (from 42 formulas).
% 0.19/0.52 ; 49 (48%) were retained. Of these,
% 0.19/0.52 ; 34 (69%) were simplified or subsumed later,
% 0.19/0.52 ; 15 (31%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (3 calls)
% 0.19/0.52 ; 0.004 12% Process new row (81 calls)
% 0.19/0.52 ; 0.004 12% Resolution (82 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (41 calls)
% 0.19/0.52 ; 0.000 0% Factoring (14 calls)
% 0.19/0.52 ; 0.000 0% Condensing (41 calls)
% 0.19/0.52 ; 0.001 3% Forward subsumption (41 calls)
% 0.19/0.52 ; 0.001 3% Backward subsumption (32 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.19/0.52 ; 0.000 0% Forward simplification (79 calls)
% 0.19/0.52 ; 0.000 0% Backward simplification (45 calls)
% 0.19/0.52 ; 0.000 0% Ordering (36 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.001 3% Purity testing (1 call)
% 0.19/0.52 ; 0.021 64% Other
% 0.19/0.52 ; 0.033 Total
% 0.19/0.53 ; 0.038 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 16 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 2 entries (16 at peak, 32 added, 30 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 7 nodes (93 at peak, 155 added, 148 deleted).
% 0.19/0.53 ; Retrieved 9 possibly forward subsuming rows in 41 calls.
% 0.19/0.53 ; Retrieved 7 possibly backward subsumed rows in 32 calls.
% 0.19/0.53 ; Path-index has 22 entries (22 at peak, 34 added, 12 deleted).
% 0.19/0.53 ; Path-index has 27 nodes (27 at peak, 39 added, 12 deleted).
% 0.19/0.53 ; Trie-index has 22 entries (22 at peak, 34 added, 12 deleted).
% 0.19/0.53 ; Trie-index has 27 nodes (27 at peak, 39 added, 12 deleted).
% 0.19/0.53 ; Retrieved 26 generalization terms in 134 calls.
% 0.19/0.53 ; Retrieved 12 instance terms in 12 calls.
% 0.19/0.53 ; Retrieved 292 unifiable terms in 259 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 11 entries:
% 0.19/0.53 ; 3 with value 4 4 with value 6 4 with value 12
% 0.19/0.53 ; The agenda of input rows to give has 1 entry:
% 0.19/0.53 ; 1 with value 3
% 0.19/0.53 ; The agenda of rows to give has 2 entries:
% 0.19/0.53 ; 1 with value (4 6) 1 with value (4 12)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.038 seconds of real time
% 0.19/0.53 0.032036 seconds of user run time
% 0.19/0.53 0.006195 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 4,511,976 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:49:29
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------