TSTP Solution File: SET788+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:12:10 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 7 unt; 12 nHn; 22 RR)
% Number of literals : 48 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ equalish(X,Y)
| ~ a_member_of(Z,X)
| a_member_of(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(2,negated_conjecture,
( ~ equalish(X,Y)
| a_member_of(Z,X)
| ~ a_member_of(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(3,negated_conjecture,
( equalish(X,Y)
| ~ a_member_of('SKOLEMAAAW1'(X,Y),X)
| ~ a_member_of('SKOLEMAAAW1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(4,negated_conjecture,
( equalish(X,Y)
| a_member_of('SKOLEMAAAW1'(X,Y),X)
| a_member_of('SKOLEMAAAW1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(5,negated_conjecture,
( ~ equalish('SKOLEMAAAW2','SKOLEMAAAW3')
| ~ equalish('SKOLEMAAAW3','SKOLEMAAAW2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(6,negated_conjecture,
( equalish('SKOLEMAAAW2','SKOLEMAAAW3')
| equalish('SKOLEMAAAW3','SKOLEMAAAW2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(8,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW3')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW3')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2') ),
inference('HYPERRESOLVE',[status(thm)],[5,4,4]) ).
cnf(11,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW3')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,8,4])]) ).
cnf(12,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2')
| equalish('SKOLEMAAAW2','SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[1,11,6]) ).
cnf(16,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2') ),
inference('HYPERRESOLVE',[status(thm)],[2,12,11]) ).
cnf(17,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2')
| equalish('SKOLEMAAAW3','SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[1,16,6]) ).
cnf(25,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[2,17,16]) ).
cnf(26,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2')
| equalish('SKOLEMAAAW2','SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[3,25,16]) ).
cnf(29,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[5,26,4]) ).
cnf(30,plain,
a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW2'),
inference('HYPERRESOLVE',[status(thm)],[2,29,26]) ).
cnf(31,plain,
( equalish('SKOLEMAAAW3','SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[1,30,6]) ).
cnf(35,plain,
a_member_of('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW2'),'SKOLEMAAAW3'),
inference('HYPERRESOLVE',[status(thm)],[2,31,30]) ).
cnf(36,plain,
equalish('SKOLEMAAAW3','SKOLEMAAAW2'),
inference('HYPERRESOLVE',[status(thm)],[3,35,30]) ).
cnf(37,plain,
~ equalish('SKOLEMAAAW2','SKOLEMAAAW3'),
inference('REWRITE',[status(thm)],[5,36]) ).
cnf(40,plain,
( a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW2')
| a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[37,4]) ).
cnf(43,plain,
a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW2'),
inference('HYPERRESOLVE',[status(thm)],[1,36,40]) ).
cnf(44,plain,
a_member_of('SKOLEMAAAW1'('SKOLEMAAAW2','SKOLEMAAAW3'),'SKOLEMAAAW3'),
inference('HYPERRESOLVE',[status(thm)],[2,43,36]) ).
cnf(45,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,43,37]),44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.32 % Computer : n004.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jul 11 06:35:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T06:35:07
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-11T06:35:07
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 105 formulas have been input or derived (from 23 formulas).
% 0.18/0.51 ; 45 (43%) were retained. Of these,
% 0.18/0.51 ; 29 (64%) were simplified or subsumed later,
% 0.18/0.51 ; 16 (36%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.001 2% Read assertion file (1 call)
% 0.18/0.51 ; 0.000 0% Assert (1 call)
% 0.18/0.51 ; 0.007 16% Process new row (85 calls)
% 0.18/0.51 ; 0.004 9% Resolution (44 calls)
% 0.18/0.51 ; 0.000 0% Paramodulation (22 calls)
% 0.18/0.51 ; 0.000 0% Factoring (13 calls)
% 0.18/0.51 ; 0.001 2% Condensing (54 calls)
% 0.18/0.51 ; 0.000 0% Forward subsumption (54 calls)
% 0.18/0.51 ; 0.001 2% Backward subsumption (38 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (116 calls)
% 0.18/0.51 ; 0.002 5% Forward simplification (67 calls)
% 0.18/0.51 ; 0.002 5% Backward simplification (45 calls)
% 0.18/0.51 ; 0.002 5% Ordering (264 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.024 55% Other
% 0.18/0.51 ; 0.044 Total
% 0.18/0.51 ; 0.048 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 31 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 9 entries (19 at peak, 38 added, 29 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 28 nodes (80 at peak, 173 added, 145 deleted).
% 0.18/0.51 ; Retrieved 85 possibly forward subsuming rows in 54 calls.
% 0.18/0.51 ; Retrieved 47 possibly backward subsumed rows in 38 calls.
% 0.18/0.51 ; Path-index has 32 entries (33 at peak, 66 added, 34 deleted).
% 0.18/0.51 ; Path-index has 37 nodes (37 at peak, 51 added, 14 deleted).
% 0.18/0.51 ; Trie-index has 32 entries (33 at peak, 66 added, 34 deleted).
% 0.18/0.51 ; Trie-index has 49 nodes (50 at peak, 97 added, 48 deleted).
% 0.18/0.51 ; Retrieved 7 generalization terms in 40 calls.
% 0.18/0.51 ; Retrieved 6 instance terms in 6 calls.
% 0.18/0.51 ; Retrieved 709 unifiable terms in 203 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 4 entries:
% 0.18/0.51 ; 1 with value 21 1 with value 28 2 with value 35
% 0.18/0.51 ; The agenda of rows to give has 5 entries:
% 0.18/0.51 ; 1 with value (4 21) 2 with value (4 31) 2 with value (4 33)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.048 seconds of real time
% 0.18/0.51 0.038232 seconds of user run time
% 0.18/0.51 0.00973 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 4,122,864 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T06:35:07
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------