TSTP Solution File: SYN328+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 11:59:20 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 8 unt; 13 nHn; 11 RR)
% Number of literals : 57 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 28 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( big_f('SKOLEMAAAV1'(X))
| big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(2,negated_conjecture,
( ~ big_g('SKOLEMAAAV1'(X))
| big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(3,negated_conjecture,
( ~ big_f('SKOLEMAAAV1'(X))
| big_g('SKOLEMAAAV1'(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(4,negated_conjecture,
( big_f('SKOLEMAAAV1'(X))
| big_g(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(5,negated_conjecture,
( ~ big_h('SKOLEMAAAV1'(X))
| big_g(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(6,negated_conjecture,
( ~ big_f('SKOLEMAAAV1'(X))
| big_h('SKOLEMAAAV1'(X))
| ~ big_g(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(7,negated_conjecture,
( ~ big_f('SKOLEMAAAV1'(X))
| big_g('SKOLEMAAAV1'(X))
| big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(8,negated_conjecture,
( ~ big_h('SKOLEMAAAV1'(X))
| big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(11,negated_conjecture,
( ~ big_f('SKOLEMAAAV2'(X))
| ~ big_g('SKOLEMAAAV2'(X))
| ~ big_h('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
cnf(12,plain,
( big_f('SKOLEMAAAV1'('SKOLEMAAAV1'(X)))
| big_f(X) ),
inference('HYPERRESOLVE',[status(thm)],[2,4]) ).
cnf(13,plain,
( big_f(X)
| big_g('SKOLEMAAAV1'(X))
| big_h(X) ),
inference('HYPERRESOLVE',[status(thm)],[7,1]) ).
cnf(14,plain,
( big_f(X)
| big_g('SKOLEMAAAV1'('SKOLEMAAAV1'(X))) ),
inference('HYPERRESOLVE',[status(thm)],[3,12,1]) ).
cnf(15,plain,
( big_f('SKOLEMAAAV1'(X))
| big_g('SKOLEMAAAV1'('SKOLEMAAAV1'(X)))
| big_h(X) ),
inference('HYPERRESOLVE',[status(thm)],[8,13]) ).
cnf(17,plain,
( big_f('SKOLEMAAAV1'('SKOLEMAAAV1'(X)))
| big_g('SKOLEMAAAV1'('SKOLEMAAAV1'('SKOLEMAAAV1'(X))))
| big_g(X) ),
inference('HYPERRESOLVE',[status(thm)],[5,15]) ).
cnf(20,plain,
( big_f('SKOLEMAAAV1'('SKOLEMAAAV1'(X)))
| big_g(X) ),
inference('HYPERRESOLVE',[status(thm)],[2,17]) ).
cnf(21,plain,
( big_f('SKOLEMAAAV1'('SKOLEMAAAV1'('SKOLEMAAAV1'(X))))
| big_f(X) ),
inference('HYPERRESOLVE',[status(thm)],[2,20]) ).
cnf(22,plain,
( big_f(X)
| big_h('SKOLEMAAAV1'('SKOLEMAAAV1'('SKOLEMAAAV1'(X)))) ),
inference('HYPERRESOLVE',[status(thm)],[6,21,14]) ).
cnf(24,plain,
( big_f(X)
| big_h('SKOLEMAAAV1'('SKOLEMAAAV1'(X))) ),
inference('HYPERRESOLVE',[status(thm)],[8,22]) ).
cnf(29,plain,
( big_f(X)
| big_g('SKOLEMAAAV1'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[5,24]) ).
cnf(33,plain,
big_f(X),
inference('HYPERRESOLVE',[status(thm)],[2,29]) ).
cnf(34,plain,
( big_h('SKOLEMAAAV1'(X))
| ~ big_g(X) ),
inference('REWRITE',[status(thm)],[6,33]) ).
cnf(36,plain,
( ~ big_g('SKOLEMAAAV2'(X))
| ~ big_h('SKOLEMAAAV2'(X)) ),
inference('REWRITE',[status(thm)],[11,33]) ).
cnf(37,plain,
big_g('SKOLEMAAAV1'(X)),
inference('REWRITE',[status(thm)],[3,33]) ).
cnf(39,plain,
big_h('SKOLEMAAAV1'('SKOLEMAAAV1'(X))),
inference('HYPERRESOLVE',[status(thm)],[34,37]) ).
cnf(40,plain,
big_h('SKOLEMAAAV1'(X)),
inference('HYPERRESOLVE',[status(thm)],[8,39]) ).
cnf(41,plain,
big_g(X),
inference('REWRITE',[status(thm)],[5,40]) ).
cnf(42,plain,
~ big_h('SKOLEMAAAV2'(X)),
inference('REWRITE',[status(thm)],[36,41]) ).
cnf(43,plain,
big_h(X),
inference('REWRITE',[status(thm)],[8,40]) ).
cnf(44,plain,
$false,
inference('REWRITE',[status(thm)],[42,43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 06:26:34 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:26:34
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-12T06:26:34
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 117 formulas have been input or derived (from 31 formulas).
% 0.20/0.51 ; 44 (38%) were retained. Of these,
% 0.20/0.51 ; 40 (91%) were simplified or subsumed later,
% 0.20/0.51 ; 4 ( 9%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (1 call)
% 0.20/0.52 ; 0.003 8% Process new row (111 calls)
% 0.20/0.52 ; 0.003 8% Resolution (60 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (30 calls)
% 0.20/0.52 ; 0.000 0% Factoring (16 calls)
% 0.20/0.52 ; 0.001 3% Condensing (90 calls)
% 0.20/0.52 ; 0.002 5% Forward subsumption (90 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (36 calls)
% 0.20/0.52 ; 0.004 11% Clause clause subsumption (213 calls)
% 0.20/0.52 ; 0.001 3% Forward simplification (98 calls)
% 0.20/0.52 ; 0.001 3% Backward simplification (44 calls)
% 0.20/0.52 ; 0.000 0% Ordering (57 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.021 55% Other
% 0.20/0.52 ; 0.038 Total
% 0.20/0.52 ; 0.042 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 27 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (27 at peak, 36 added, 36 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (83 at peak, 93 added, 92 deleted).
% 0.20/0.52 ; Retrieved 329 possibly forward subsuming rows in 90 calls.
% 0.20/0.52 ; Retrieved 52 possibly backward subsumed rows in 36 calls.
% 0.20/0.52 ; Path-index has 3 entries (27 at peak, 36 added, 33 deleted).
% 0.20/0.52 ; Path-index has 31 nodes (55 at peak, 64 added, 33 deleted).
% 0.20/0.52 ; Trie-index has 3 entries (27 at peak, 36 added, 33 deleted).
% 0.20/0.52 ; Trie-index has 7 nodes (55 at peak, 71 added, 64 deleted).
% 0.20/0.52 ; Retrieved 1 generalization term in 5 calls.
% 0.20/0.52 ; Retrieved 15 instance terms in 7 calls.
% 0.20/0.52 ; Retrieved 312 unifiable terms in 155 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 4 entries:
% 0.20/0.52 ; 3 with value 7 1 with value 11
% 0.20/0.52 ; The agenda of input rows to give has 2 entries:
% 0.20/0.52 ; 2 with value 3
% 0.20/0.52 ; The agenda of rows to give has 1 entry:
% 0.20/0.52 ; 1 with value (4 12)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.043 seconds of real time
% 0.20/0.52 0.036446 seconds of user run time
% 0.20/0.52 0.006087 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,791,080 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:26:34
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------