TSTP Solution File: SET648+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET648+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Jul 19 05:11:16 EDT 2022
% Result : Theorem 0.50s 0.70s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 32 ( 14 unt; 4 nHn; 28 RR)
% Number of literals : 75 ( 0 equ; 46 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,binary_relation_type)
| subset(X,cross_product(domain_of(X),range_of(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ subset(X,Y)
| subset(cross_product(Z,X),cross_product(Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
cnf(5,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| ilf_type(Z,relation_type(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
cnf(19,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ subset(X,Y)
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
cnf(26,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ilf_type(Y,subset_type(X))
| ~ ilf_type(Y,member_type(power_set(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
cnf(38,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| member('SKOLEMAAAV10'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
cnf(39,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| ~ member('SKOLEMAAAV10'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
cnf(40,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
cnf(43,axiom,
( ~ ilf_type(X,set_type)
| empty(Y)
| ~ ilf_type(Y,set_type)
| ilf_type(X,member_type(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
cnf(49,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
cnf(50,negated_conjecture,
ilf_type('SKOLEMAAAV14',binary_relation_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10) ).
cnf(51,negated_conjecture,
subset(range_of('SKOLEMAAAV14'),'SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10) ).
cnf(52,negated_conjecture,
~ ilf_type('SKOLEMAAAV14',relation_type(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10) ).
cnf(57,plain,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
inference('REWRITE',[status(thm)],[1,49]) ).
cnf(59,plain,
( ~ subset(X,Y)
| subset(cross_product(Z,X),cross_product(Z,Y)) ),
inference('REWRITE',[status(thm)],[4,49]) ).
cnf(60,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[5,49]) ).
cnf(65,plain,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[19,49]) ).
cnf(69,plain,
( ilf_type(X,subset_type(Y))
| ~ ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[26,49]) ).
cnf(77,plain,
( member(X,power_set(Y))
| member('SKOLEMAAAV10'(X,Y),X) ),
inference('REWRITE',[status(thm)],[38,49]) ).
cnf(78,plain,
( member(X,power_set(Y))
| ~ member('SKOLEMAAAV10'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[39,49]) ).
cnf(79,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[40,49]) ).
cnf(81,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[43,49]) ).
cnf(100,plain,
subset(cross_product(X,range_of('SKOLEMAAAV14')),cross_product(X,'SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[59,51]) ).
cnf(110,plain,
subset('SKOLEMAAAV14',cross_product(domain_of('SKOLEMAAAV14'),range_of('SKOLEMAAAV14'))),
inference('HYPERRESOLVE',[status(thm)],[2,50]) ).
cnf(123,plain,
~ ilf_type('SKOLEMAAAV14',subset_type(cross_product(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[60,52]) ).
cnf(214,plain,
subset('SKOLEMAAAV14',cross_product(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[57,100,110]) ).
cnf(230,plain,
~ ilf_type('SKOLEMAAAV14',member_type(power_set(cross_product(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13')))),
inference('UR-RESOLVE',[status(thm)],[69,123]) ).
cnf(314,plain,
~ member('SKOLEMAAAV14',power_set(cross_product(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[81,230,79]) ).
cnf(316,plain,
member('SKOLEMAAAV10'('SKOLEMAAAV14',cross_product(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13')),'SKOLEMAAAV14'),
inference('UR-RESOLVE',[status(thm)],[77,314]) ).
cnf(321,plain,
~ member('SKOLEMAAAV10'('SKOLEMAAAV14',cross_product(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13')),cross_product(domain_of('SKOLEMAAAV14'),'SKOLEMAAAV13')),
inference('UR-RESOLVE',[status(thm)],[78,314]) ).
cnf(518,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,316,214]),321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET648+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Mon Jul 11 03:37:18 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.24/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.52 *
% 0.24/0.52 *
% 0.24/0.52 #<PACKAGE "SNARK-USER">
% 0.24/0.52 *
% 0.24/0.52 SNARK-TPTP-OPTIONS
% 0.24/0.52 *
% 0.24/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.24/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.24/0.52 (USE-FACTORING :POS)
% 0.24/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.24/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.24/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.24/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.24/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.24/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.24/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.24/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.24/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.24/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.24/0.52 *
% 0.24/0.52 "."
% 0.24/0.52 *
% 0.24/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:37:18
% 0.24/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-11T03:37:18
% 0.50/0.70
% 0.50/0.70
% 0.50/0.70 #||
% 0.50/0.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.70 % SZS output start Refutation
% See solution above
% 0.56/0.72 ||#
% 0.56/0.72
% 0.56/0.72 ; Summary of computation:
% 0.56/0.72 ; 816 formulas have been input or derived (from 100 formulas).
% 0.56/0.72 ; 518 (63%) were retained. Of these,
% 0.56/0.72 ; 64 (12%) were simplified or subsumed later,
% 0.56/0.72 ; 454 (88%) are still being kept.
% 0.56/0.72 ;
% 0.56/0.72 ; Run time in seconds excluding printing time:
% 0.56/0.72 ; 0.008 4% Read assertion file (1 call)
% 0.56/0.72 ; 0.003 2% Assert (27 calls)
% 0.56/0.72 ; 0.058 33% Process new row (706 calls)
% 0.56/0.72 ; 0.010 6% Resolution (198 calls)
% 0.56/0.72 ; 0.001 1% Paramodulation (99 calls)
% 0.56/0.72 ; 0.000 0% Factoring (24 calls)
% 0.56/0.72 ; 0.009 5% Condensing (503 calls)
% 0.56/0.72 ; 0.027 15% Forward subsumption (503 calls)
% 0.56/0.72 ; 0.010 6% Backward subsumption (436 calls)
% 0.56/0.72 ; 0.003 2% Clause clause subsumption (767 calls)
% 0.56/0.72 ; 0.016 9% Forward simplification (706 calls)
% 0.56/0.72 ; 0.004 2% Backward simplification (518 calls)
% 0.56/0.72 ; 0.003 2% Ordering (679 calls)
% 0.56/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.72 ; 0.000 0% Purity testing (1 call)
% 0.56/0.72 ; 0.026 15% Other
% 0.56/0.72 ; 0.178 Total
% 0.56/0.72 ; 0.195 Real time
% 0.56/0.72 ;
% 0.56/0.72 ; Term-hash-array has 1,380 terms in all.
% 0.56/0.72 ; Feature-vector-row-index has 372 entries (378 at peak, 436 added, 64 deleted).
% 0.56/0.72 ; Feature-vector-row-index has 3,100 nodes (3,141 at peak, 3,435 added, 335 deleted).
% 0.56/0.72 ; Retrieved 936 possibly forward subsuming rows in 503 calls.
% 0.56/0.72 ; Retrieved 67 possibly backward subsumed rows in 436 calls.
% 0.56/0.72 ; Path-index has 1,358 entries (1,358 at peak, 1,468 added, 110 deleted).
% 0.56/0.72 ; Path-index has 6,735 nodes (6,735 at peak, 6,858 added, 123 deleted).
% 0.56/0.72 ; Trie-index has 1,358 entries (1,358 at peak, 1,468 added, 110 deleted).
% 0.56/0.72 ; Trie-index has 7,701 nodes (7,701 at peak, 7,962 added, 261 deleted).
% 0.56/0.72 ; Retrieved 347 generalization terms in 1,300 calls.
% 0.56/0.72 ; Retrieved 116 instance terms in 81 calls.
% 0.56/0.72 ; Retrieved 7,130 unifiable terms in 1,041 calls.
% 0.56/0.72 ;
% 0.56/0.72 ; The agenda of rows to process has 6 entries:
% 0.56/0.72 ; 3 with value 21 1 with value 26 1 with value 33
% 0.56/0.72 ; 1 with value 24
% 0.56/0.72 ; The agenda of rows to give has 358 entries:
% 0.56/0.72 ; 1 with value (4 8) 12 with value (4 27) 2 with value (4 41)
% 0.56/0.72 ; 4 with value (4 13) 6 with value (4 28) 8 with value (4 42)
% 0.56/0.72 ; 2 with value (4 16) 9 with value (4 29) 13 with value (4 43)
% 0.56/0.72 ; 13 with value (4 17) 21 with value (4 30) 6 with value (4 44)
% 0.56/0.72 ; 11 with value (4 18) 5 with value (4 31) 3 with value (4 47)
% 0.56/0.72 ; 17 with value (4 19) 11 with value (4 32) 1 with value (4 48)
% 0.56/0.72 ; 22 with value (4 20) 3 with value (4 34) 12 with value (4 49)
% 0.56/0.72 ; 25 with value (4 21) 6 with value (4 35) 6 with value (4 51)
% 0.56/0.72 ; 19 with value (4 22) 9 with value (4 36) 6 with value (4 52)
% 0.56/0.72 ; 17 with value (4 23) 10 with value (4 37) 2 with value (4 55)
% 0.56/0.72 ; 16 with value (4 24) 6 with value (4 39) 8 with value (4 56)
% 0.56/0.72 ; 17 with value (4 25) 1 with value (4 40) 6 with value (4 57)
% 0.56/0.72 ; 22 with value (4 26)
% 0.56/0.72 Evaluation took:
% 0.56/0.72 0.196 seconds of real time
% 0.56/0.72 0.175168 seconds of user run time
% 0.56/0.72 0.020898 seconds of system run time
% 0.56/0.72 [Run times include 0.014 seconds GC run time.]
% 0.56/0.72 0 calls to %EVAL
% 0.56/0.72 0 page faults and
% 0.56/0.72 14,886,416 bytes consed.
% 0.56/0.72 :PROOF-FOUND
% 0.56/0.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:37:19
% 0.56/0.72 :PROOF-FOUND
% 0.56/0.72 *
%------------------------------------------------------------------------------