TSTP Solution File: SYN084+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 11:57:30 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 8 unt; 12 nHn; 24 RR)
% Number of literals : 55 ( 0 equ; 17 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
cnf(2,negated_conjecture,
( ~ big_p('SKOLEMAAAV1')
| big_p(f('SKOLEMAAAV1'))
| ~ big_p('SKOLEMAAAV2')
| big_p(f('SKOLEMAAAV2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
cnf(4,negated_conjecture,
( ~ big_p('SKOLEMAAAV1')
| big_p(f('SKOLEMAAAV1'))
| ~ big_p(f(f('SKOLEMAAAV2'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
cnf(5,negated_conjecture,
( ~ big_p(f(f('SKOLEMAAAV1')))
| ~ big_p('SKOLEMAAAV2')
| big_p(f('SKOLEMAAAV2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
cnf(7,negated_conjecture,
( ~ big_p(f(f('SKOLEMAAAV1')))
| ~ big_p(f(f('SKOLEMAAAV2'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
cnf(8,negated_conjecture,
( ~ big_p(a)
| big_p(X)
| big_p(f(f(X)))
| big_p(Y)
| big_p(f(f(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
cnf(9,plain,
( big_p(X)
| big_p(f(f(X))) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[8,1])]) ).
cnf(12,negated_conjecture,
( ~ big_p(a)
| ~ big_p(f(X))
| big_p(f(f(X)))
| ~ big_p(f(Y))
| big_p(f(f(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
cnf(13,plain,
( ~ big_p(f(X))
| big_p(f(f(X))) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[12,1])]) ).
cnf(15,plain,
( big_p('SKOLEMAAAV1')
| big_p('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[7,9,9]) ).
cnf(16,plain,
( big_p('SKOLEMAAAV1')
| big_p(f('SKOLEMAAAV2')) ),
inference('HYPERRESOLVE',[status(thm)],[5,15,9]) ).
cnf(17,plain,
( big_p('SKOLEMAAAV1')
| big_p(f(f('SKOLEMAAAV2'))) ),
inference('HYPERRESOLVE',[status(thm)],[13,16]) ).
cnf(19,plain,
big_p('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[7,17,9]) ).
cnf(20,plain,
( big_p(f('SKOLEMAAAV1'))
| ~ big_p('SKOLEMAAAV2')
| big_p(f('SKOLEMAAAV2')) ),
inference('REWRITE',[status(thm)],[2,19]) ).
cnf(21,plain,
( big_p(f('SKOLEMAAAV1'))
| ~ big_p(f(f('SKOLEMAAAV2'))) ),
inference('REWRITE',[status(thm)],[4,19]) ).
cnf(22,plain,
( big_p('SKOLEMAAAV2')
| big_p(f('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[21,9]) ).
cnf(23,plain,
( big_p('SKOLEMAAAV2')
| big_p(f(f('SKOLEMAAAV1'))) ),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(24,plain,
big_p('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[7,23,9]) ).
cnf(25,plain,
( ~ big_p(f(f('SKOLEMAAAV1')))
| big_p(f('SKOLEMAAAV2')) ),
inference('REWRITE',[status(thm)],[5,24]) ).
cnf(26,plain,
( big_p(f('SKOLEMAAAV1'))
| big_p(f('SKOLEMAAAV2')) ),
inference('REWRITE',[status(thm)],[20,24]) ).
cnf(27,plain,
( big_p(f('SKOLEMAAAV1'))
| big_p(f(f('SKOLEMAAAV2'))) ),
inference('HYPERRESOLVE',[status(thm)],[13,26]) ).
cnf(28,plain,
big_p(f('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[21,27]) ).
cnf(29,plain,
big_p(f(f('SKOLEMAAAV1'))),
inference('HYPERRESOLVE',[status(thm)],[13,28]) ).
cnf(30,plain,
~ big_p(f(f('SKOLEMAAAV2'))),
inference('REWRITE',[status(thm)],[7,29]) ).
cnf(31,plain,
big_p(f('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[25,29]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,31]),30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 : Mon Jul 11 12:15:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-11T12:15:34
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-11T12:15:34
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 45 formulas have been input or derived (from 23 formulas).
% 0.19/0.50 ; 32 (71%) were retained. Of these,
% 0.19/0.50 ; 20 (62%) were simplified or subsumed later,
% 0.19/0.50 ; 12 (38%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (1 call)
% 0.19/0.50 ; 0.003 10% Process new row (39 calls)
% 0.19/0.50 ; 0.001 3% Resolution (44 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (22 calls)
% 0.19/0.50 ; 0.000 0% Factoring (9 calls)
% 0.19/0.50 ; 0.001 3% Condensing (22 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (22 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (20 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.19/0.50 ; 0.002 6% Forward simplification (35 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (28 calls)
% 0.19/0.50 ; 0.000 0% Ordering (20 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 68% Other
% 0.19/0.50 ; 0.031 Total
% 0.19/0.50 ; 0.034 Real time
% 0.19/0.50 ;
% 0.19/0.51 ; Term-hash-array has 20 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 4 entries (11 at peak, 20 added, 16 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 17 nodes (72 at peak, 149 added, 132 deleted).
% 0.19/0.51 ; Retrieved 8 possibly forward subsuming rows in 22 calls.
% 0.19/0.51 ; Retrieved 2 possibly backward subsumed rows in 20 calls.
% 0.19/0.51 ; Path-index has 23 entries (23 at peak, 31 added, 8 deleted).
% 0.19/0.51 ; Path-index has 33 nodes (33 at peak, 41 added, 8 deleted).
% 0.19/0.51 ; Trie-index has 23 entries (23 at peak, 31 added, 8 deleted).
% 0.19/0.51 ; Trie-index has 33 nodes (33 at peak, 43 added, 10 deleted).
% 0.19/0.51 ; Retrieved 10 generalization terms in 85 calls.
% 0.19/0.51 ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.51 ; Retrieved 133 unifiable terms in 129 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of input rows to give has 1 entry:
% 0.19/0.51 ; 1 with value 7
% 0.19/0.51 ; The agenda of rows to give has 2 entries:
% 0.19/0.51 ; 1 with value (4 10) 1 with value (4 16)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.034 seconds of real time
% 0.19/0.51 0.027379 seconds of user run time
% 0.19/0.51 0.007288 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,369,040 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T12:15:34
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------