TSTP Solution File: SET651+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET651+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:11:18 EDT 2022
% Result : Theorem 0.78s 0.95s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 44 ( 18 unt; 4 nHn; 42 RR)
% Number of literals : 105 ( 0 equ; 64 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 5 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(3,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,set_type)
| ~ subset(X,Y)
| ~ subset(Z,U)
| subset(cross_product(X,Z),cross_product(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
cnf(4,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(5,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(Z,subset_type(cross_product(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
cnf(8,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| subset(range_of(Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
cnf(13,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',p9) ).
cnf(21,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
cnf(24,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(29,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
cnf(30,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
cnf(31,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
cnf(34,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',p20) ).
cnf(42,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| relation_like(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
cnf(47,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
cnf(48,negated_conjecture,
ilf_type('SKOLEMAAAV15',relation_type('SKOLEMAAAV12','SKOLEMAAAV14')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_13) ).
cnf(49,negated_conjecture,
subset(domain_of('SKOLEMAAAV15'),'SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_13) ).
cnf(50,negated_conjecture,
~ ilf_type('SKOLEMAAAV15',relation_type('SKOLEMAAAV13','SKOLEMAAAV14')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_13) ).
cnf(53,plain,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
inference('REWRITE',[status(thm)],[1,47]) ).
cnf(54,plain,
( ~ subset(X,Y)
| ~ subset(Z,U)
| subset(cross_product(X,Z),cross_product(Y,U)) ),
inference('REWRITE',[status(thm)],[3,47]) ).
cnf(55,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[4,47]) ).
cnf(56,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[5,47]) ).
cnf(59,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| subset(range_of(X),Z) ),
inference('REWRITE',[status(thm)],[8,47]) ).
cnf(60,plain,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[13,47]) ).
cnf(64,plain,
( ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
inference('REWRITE',[status(thm)],[21,47]) ).
cnf(66,plain,
( ilf_type(X,subset_type(Y))
| ~ ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[24,47]) ).
cnf(70,plain,
( member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
inference('REWRITE',[status(thm)],[29,47]) ).
cnf(71,plain,
( member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[30,47]) ).
cnf(72,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[31,47]) ).
cnf(74,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[34,47]) ).
cnf(79,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| relation_like(X) ),
inference('REWRITE',[status(thm)],[42,47]) ).
cnf(96,plain,
subset(range_of('SKOLEMAAAV15'),'SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[59,48]) ).
cnf(117,plain,
~ ilf_type('SKOLEMAAAV15',subset_type(cross_product('SKOLEMAAAV13','SKOLEMAAAV14'))),
inference('UR-RESOLVE',[status(thm)],[55,50]) ).
cnf(119,plain,
ilf_type('SKOLEMAAAV15',subset_type(cross_product('SKOLEMAAAV12','SKOLEMAAAV14'))),
inference('HYPERRESOLVE',[status(thm)],[56,48]) ).
cnf(151,plain,
subset(cross_product(domain_of('SKOLEMAAAV15'),range_of('SKOLEMAAAV15')),cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[54,96,49]) ).
cnf(236,plain,
~ ilf_type('SKOLEMAAAV15',member_type(power_set(cross_product('SKOLEMAAAV13','SKOLEMAAAV14')))),
inference('UR-RESOLVE',[status(thm)],[66,117]) ).
cnf(237,plain,
relation_like('SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[79,119]) ).
cnf(239,plain,
ilf_type('SKOLEMAAAV15',binary_relation_type),
inference('HYPERRESOLVE',[status(thm)],[64,237]) ).
cnf(243,plain,
subset('SKOLEMAAAV15',cross_product(domain_of('SKOLEMAAAV15'),range_of('SKOLEMAAAV15'))),
inference('HYPERRESOLVE',[status(thm)],[2,239]) ).
cnf(782,plain,
~ member('SKOLEMAAAV15',power_set(cross_product('SKOLEMAAAV13','SKOLEMAAAV14'))),
inference('UR-RESOLVE',[status(thm)],[74,236,72]) ).
cnf(784,plain,
member('SKOLEMAAAV6'('SKOLEMAAAV15',cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),'SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[70,782]) ).
cnf(787,plain,
~ member('SKOLEMAAAV6'('SKOLEMAAAV15',cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[71,782]) ).
cnf(1652,plain,
subset('SKOLEMAAAV15',cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[53,243,151]) ).
cnf(1915,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,784,1652]),787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET651+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 08:12:23 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T08:12:23
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T08:12:23
% 0.78/0.95
% 0.78/0.95
% 0.78/0.95 #||
% 0.78/0.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.95 % SZS output start Refutation
% See solution above
% 0.78/0.96 ||#
% 0.78/0.96
% 0.78/0.96 ; Summary of computation:
% 0.78/0.96 ; 3611 formulas have been input or derived (from 111 formulas).
% 0.78/0.96 ; 1915 (53%) were retained. Of these,
% 0.78/0.96 ; 52 ( 3%) were simplified or subsumed later,
% 0.78/0.96 ; 1863 (97%) are still being kept.
% 0.78/0.96 ;
% 0.78/0.96 ; Run time in seconds excluding printing time:
% 0.78/0.96 ; 0.008 2% Read assertion file (1 call)
% 0.78/0.96 ; 0.003 1% Assert (27 calls)
% 0.78/0.96 ; 0.183 39% Process new row (3,428 calls)
% 0.78/0.96 ; 0.077 16% Resolution (220 calls)
% 0.78/0.96 ; 0.002 0% Paramodulation (110 calls)
% 0.78/0.96 ; 0.000 0% Factoring (12 calls)
% 0.78/0.96 ; 0.004 1% Condensing (648 calls)
% 0.78/0.96 ; 0.036 8% Forward subsumption (648 calls)
% 0.78/0.96 ; 0.027 6% Backward subsumption (605 calls)
% 0.78/0.96 ; 0.009 2% Clause clause subsumption (5,369 calls)
% 0.78/0.96 ; 0.062 13% Forward simplification (3,428 calls)
% 0.78/0.96 ; 0.017 4% Backward simplification (1,915 calls)
% 0.78/0.96 ; 0.001 0% Ordering (1,046 calls)
% 0.78/0.96 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/0.96 ; 0.000 0% Purity testing (1 call)
% 0.78/0.96 ; 0.038 8% Other
% 0.78/0.96 ; 0.467 Total
% 0.78/0.96 ; 0.471 Real time
% 0.78/0.96 ;
% 0.78/0.96 ; Term-hash-array has 3,668 terms in all.
% 0.78/0.96 ; Feature-vector-row-index has 553 entries (561 at peak, 605 added, 52 deleted).
% 0.78/0.96 ; Feature-vector-row-index has 3,400 nodes (3,448 at peak, 3,616 added, 216 deleted).
% 0.78/0.96 ; Retrieved 4,787 possibly forward subsuming rows in 648 calls.
% 0.78/0.96 ; Retrieved 715 possibly backward subsumed rows in 605 calls.
% 0.78/0.96 ; Path-index has 3,645 entries (3,645 at peak, 3,741 added, 96 deleted).
% 0.78/0.96 ; Path-index has 4,017 nodes (4,017 at peak, 4,123 added, 106 deleted).
% 0.78/0.96 ; Trie-index has 3,645 entries (3,645 at peak, 3,741 added, 96 deleted).
% 0.78/0.96 ; Trie-index has 11,825 nodes (11,825 at peak, 12,052 added, 227 deleted).
% 0.78/0.96 ; Retrieved 9,527 generalization terms in 4,135 calls.
% 0.78/0.96 ; Retrieved 1,347 instance terms in 1,309 calls.
% 0.78/0.96 ; Retrieved 92,384 unifiable terms in 2,785 calls.
% 0.78/0.96 ;
% 0.78/0.96 ; The agenda of rows to process has 9 entries:
% 0.78/0.96 ; 3 with value 18 1 with value 22 1 with value 29
% 0.78/0.96 ; 3 with value 19 1 with value 24
% 0.78/0.96 ; The agenda of rows to give has 1752 entries:
% 0.78/0.96 ; 1 with value (4 8) 181 with value (4 23) 4 with value (4 37)
% 0.78/0.96 ; 2 with value (4 12) 244 with value (4 24) 3 with value (4 39)
% 0.78/0.96 ; 7 with value (4 14) 347 with value (4 25) 1 with value (4 40)
% 0.78/0.96 ; 17 with value (4 15) 188 with value (4 26) 1 with value (4 41)
% 0.78/0.96 ; 27 with value (4 16) 63 with value (4 27) 2 with value (4 42)
% 0.78/0.96 ; 31 with value (4 17) 47 with value (4 28) 6 with value (4 43)
% 0.78/0.96 ; 35 with value (4 18) 39 with value (4 29) 2 with value (4 47)
% 0.78/0.96 ; 104 with value (4 19) 3 with value (4 30) 1 with value (4 48)
% 0.78/0.96 ; 147 with value (4 20) 2 with value (4 32) 3 with value (4 51)
% 0.78/0.96 ; 130 with value (4 21) 3 with value (4 35) 1 with value (4 55)
% 0.78/0.96 ; 110 with value (4 22)
% 0.78/0.96 Evaluation took:
% 0.78/0.96 0.472 seconds of real time
% 0.78/0.96 0.429666 seconds of user run time
% 0.78/0.96 0.041999 seconds of system run time
% 0.78/0.96 [Run times include 0.03 seconds GC run time.]
% 0.78/0.96 0 calls to %EVAL
% 0.78/0.96 0 page faults and
% 0.78/0.96 34,304,800 bytes consed.
% 0.78/0.96 :PROOF-FOUND
% 0.78/0.96 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T08:12:24
% 0.78/0.96 :PROOF-FOUND
% 0.78/0.96 *
%------------------------------------------------------------------------------