TSTP Solution File: SYN075+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 11:57:23 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 4 unt; 6 nHn; 10 RR)
% Number of literals : 30 ( 19 equ; 11 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_f(X,Y)
| X = 'SKOLEMAAAV1' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52_1) ).
cnf(2,axiom,
( ~ big_f(X,Y)
| Y = 'SKOLEMAAAV2' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52_1) ).
cnf(3,axiom,
( big_f(X,Y)
| X != 'SKOLEMAAAV1'
| Y != 'SKOLEMAAAV2' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52_1) ).
cnf(4,negated_conjecture,
( ~ big_f('SKOLEMAAAV4'(X,Y),'SKOLEMAAAV3'(X))
| 'SKOLEMAAAV4'(X,Y) != Y
| 'SKOLEMAAAV3'(X) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52) ).
cnf(5,negated_conjecture,
( big_f('SKOLEMAAAV4'(X,Y),'SKOLEMAAAV3'(X))
| 'SKOLEMAAAV4'(X,Y) = Y
| 'SKOLEMAAAV3'(X) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52) ).
cnf(7,negated_conjecture,
( big_f(X,'SKOLEMAAAV3'(Y))
| X != 'SKOLEMAAAV5'(Y)
| 'SKOLEMAAAV3'(Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52) ).
cnf(8,plain,
big_f('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(9,plain,
( big_f('SKOLEMAAAV5'(X),'SKOLEMAAAV3'(X))
| 'SKOLEMAAAV3'(X) = X ),
inference('HYPERRESOLVE',[status(thm)],[7,theory(equality)]) ).
cnf(10,plain,
( 'SKOLEMAAAV3'(X) = X
| 'SKOLEMAAAV3'(X) = 'SKOLEMAAAV2' ),
inference('HYPERRESOLVE',[status(thm)],[2,9]) ).
cnf(13,plain,
'SKOLEMAAAV3'('SKOLEMAAAV2') = 'SKOLEMAAAV2',
inference('FACTOR',[status(thm)],[10]) ).
cnf(15,plain,
( big_f('SKOLEMAAAV4'('SKOLEMAAAV2',X),'SKOLEMAAAV2')
| 'SKOLEMAAAV4'('SKOLEMAAAV2',X) = X ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,10]),13,theory(equality)]) ).
cnf(24,plain,
( ~ big_f('SKOLEMAAAV4'('SKOLEMAAAV2',X),'SKOLEMAAAV2')
| 'SKOLEMAAAV4'('SKOLEMAAAV2',X) != X ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,13,theory(equality)]),theory(equality)]) ).
cnf(28,plain,
( 'SKOLEMAAAV4'('SKOLEMAAAV2',X) = X
| 'SKOLEMAAAV4'('SKOLEMAAAV2',X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,15]) ).
cnf(30,plain,
'SKOLEMAAAV4'('SKOLEMAAAV2','SKOLEMAAAV1') = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[24,28,15]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[24,30]),8,30,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 05:48:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:48:04
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-12T05:48:04
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % 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 ; 111 formulas have been input or derived (from 19 formulas).
% 0.19/0.50 ; 38 (34%) were retained. Of these,
% 0.19/0.50 ; 3 ( 8%) were simplified or subsumed later,
% 0.19/0.50 ; 35 (92%) 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 ; 0.000 0% Assert (2 calls)
% 0.19/0.50 ; 0.006 16% Process new row (88 calls)
% 0.19/0.50 ; 0.002 5% Resolution (36 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (18 calls)
% 0.19/0.50 ; 0.000 0% Factoring (7 calls)
% 0.19/0.50 ; 0.002 5% Condensing (48 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (48 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (32 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (31 calls)
% 0.19/0.50 ; 0.003 8% Forward simplification (88 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (38 calls)
% 0.19/0.50 ; 0.000 0% Ordering (212 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 ; 0.022 59% Other
% 0.19/0.50 ; 0.037 Total
% 0.19/0.50 ; 0.040 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 51 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 31 entries (31 at peak, 32 added, 1 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 155 nodes (155 at peak, 159 added, 4 deleted).
% 0.19/0.50 ; Retrieved 31 possibly forward subsuming rows in 48 calls.
% 0.19/0.50 ; Retrieved 2 possibly backward subsumed rows in 32 calls.
% 0.19/0.50 ; Path-index has 51 entries (51 at peak, 54 added, 3 deleted).
% 0.19/0.50 ; Path-index has 68 nodes (68 at peak, 70 added, 2 deleted).
% 0.19/0.50 ; Trie-index has 51 entries (51 at peak, 54 added, 3 deleted).
% 0.19/0.50 ; Trie-index has 99 nodes (99 at peak, 104 added, 5 deleted).
% 0.19/0.50 ; Retrieved 30 generalization terms in 150 calls.
% 0.19/0.50 ; Retrieved 5 instance terms in 5 calls.
% 0.19/0.50 ; Retrieved 647 unifiable terms in 136 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 12 entries:
% 0.19/0.50 ; 2 with value 13 1 with value 20 2 with value 22
% 0.19/0.50 ; 7 with value 14
% 0.19/0.50 ; The agenda of rows to give has 16 entries:
% 0.19/0.50 ; 2 with value (4 16) 3 with value (4 23) 2 with value (4 27)
% 0.19/0.50 ; 2 with value (4 19) 1 with value (4 24) 1 with value (4 28)
% 0.19/0.50 ; 1 with value (4 22) 3 with value (4 26) 1 with value (4 30)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.04 seconds of real time
% 0.19/0.50 0.029817 seconds of user run time
% 0.19/0.50 0.010197 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,824,824 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:48:04
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------