TSTP Solution File: SET652+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET652+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 0.69s 0.91s
% Output : Refutation 0.69s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',p4) ).
cnf(7,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| subset(domain_of(Z),X) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',p9) ).
cnf(21,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',p18) ).
cnf(31,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',p23) ).
cnf(47,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
cnf(48,negated_conjecture,
ilf_type('SKOLEMAAAV15',relation_type('SKOLEMAAAV14','SKOLEMAAAV12')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_14) ).
cnf(49,negated_conjecture,
subset(range_of('SKOLEMAAAV15'),'SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_14) ).
cnf(50,negated_conjecture,
~ ilf_type('SKOLEMAAAV15',relation_type('SKOLEMAAAV14','SKOLEMAAAV13')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_14) ).
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(58,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| subset(domain_of(X),Y) ),
inference('REWRITE',[status(thm)],[7,47]) ).
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(94,plain,
subset(domain_of('SKOLEMAAAV15'),'SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[58,48]) ).
cnf(117,plain,
~ ilf_type('SKOLEMAAAV15',subset_type(cross_product('SKOLEMAAAV14','SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[55,50]) ).
cnf(119,plain,
ilf_type('SKOLEMAAAV15',subset_type(cross_product('SKOLEMAAAV14','SKOLEMAAAV12'))),
inference('HYPERRESOLVE',[status(thm)],[56,48]) ).
cnf(137,plain,
subset(cross_product(domain_of('SKOLEMAAAV15'),range_of('SKOLEMAAAV15')),cross_product('SKOLEMAAAV14','SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[54,94,49]) ).
cnf(236,plain,
~ ilf_type('SKOLEMAAAV15',member_type(power_set(cross_product('SKOLEMAAAV14','SKOLEMAAAV13')))),
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('SKOLEMAAAV14','SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[74,236,72]) ).
cnf(784,plain,
member('SKOLEMAAAV6'('SKOLEMAAAV15',cross_product('SKOLEMAAAV14','SKOLEMAAAV13')),'SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[70,782]) ).
cnf(787,plain,
~ member('SKOLEMAAAV6'('SKOLEMAAAV15',cross_product('SKOLEMAAAV14','SKOLEMAAAV13')),cross_product('SKOLEMAAAV14','SKOLEMAAAV13')),
inference('UR-RESOLVE',[status(thm)],[71,782]) ).
cnf(1652,plain,
subset('SKOLEMAAAV15',cross_product('SKOLEMAAAV14','SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[53,243,137]) ).
cnf(1915,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,784,1652]),787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET652+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 13:58:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 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 2022-07-10T13:58:29
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T13:58:29
% 0.69/0.91
% 0.69/0.91
% 0.69/0.91 #||
% 0.69/0.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.91 % SZS output start Refutation
% See solution above
% 0.69/0.91 ||#
% 0.69/0.91
% 0.69/0.91 ; Summary of computation:
% 0.69/0.91 ; 3611 formulas have been input or derived (from 111 formulas).
% 0.69/0.91 ; 1915 (53%) were retained. Of these,
% 0.69/0.91 ; 52 ( 3%) were simplified or subsumed later,
% 0.69/0.91 ; 1863 (97%) are still being kept.
% 0.69/0.91 ;
% 0.69/0.91 ; Run time in seconds excluding printing time:
% 0.69/0.91 ; 0.008 2% Read assertion file (1 call)
% 0.69/0.91 ; 0.001 0% Assert (27 calls)
% 0.69/0.91 ; 0.155 35% Process new row (3,428 calls)
% 0.69/0.91 ; 0.073 16% Resolution (220 calls)
% 0.69/0.91 ; 0.001 0% Paramodulation (110 calls)
% 0.69/0.91 ; 0.000 0% Factoring (12 calls)
% 0.69/0.91 ; 0.016 4% Condensing (648 calls)
% 0.69/0.91 ; 0.058 13% Forward subsumption (648 calls)
% 0.69/0.91 ; 0.016 4% Backward subsumption (605 calls)
% 0.69/0.91 ; 0.009 2% Clause clause subsumption (5,357 calls)
% 0.69/0.91 ; 0.050 11% Forward simplification (3,428 calls)
% 0.69/0.91 ; 0.021 5% Backward simplification (1,915 calls)
% 0.69/0.91 ; 0.003 1% Ordering (1,046 calls)
% 0.69/0.91 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.91 ; 0.000 0% Purity testing (1 call)
% 0.69/0.91 ; 0.037 8% Other
% 0.69/0.91 ; 0.448 Total
% 0.69/0.91 ; 0.452 Real time
% 0.69/0.91 ;
% 0.69/0.92 ; Term-hash-array has 3,669 terms in all.
% 0.69/0.92 ; Feature-vector-row-index has 553 entries (561 at peak, 605 added, 52 deleted).
% 0.69/0.92 ; Feature-vector-row-index has 3,421 nodes (3,469 at peak, 3,637 added, 216 deleted).
% 0.69/0.92 ; Retrieved 4,764 possibly forward subsuming rows in 648 calls.
% 0.69/0.92 ; Retrieved 715 possibly backward subsumed rows in 605 calls.
% 0.69/0.92 ; Path-index has 3,646 entries (3,646 at peak, 3,743 added, 97 deleted).
% 0.69/0.92 ; Path-index has 4,017 nodes (4,017 at peak, 4,123 added, 106 deleted).
% 0.69/0.92 ; Trie-index has 3,646 entries (3,646 at peak, 3,743 added, 97 deleted).
% 0.69/0.92 ; Trie-index has 11,704 nodes (11,704 at peak, 11,931 added, 227 deleted).
% 0.69/0.92 ; Retrieved 9,527 generalization terms in 4,135 calls.
% 0.69/0.92 ; Retrieved 1,347 instance terms in 1,309 calls.
% 0.69/0.92 ; Retrieved 92,548 unifiable terms in 2,785 calls.
% 0.69/0.92 ;
% 0.69/0.92 ; The agenda of rows to process has 9 entries:
% 0.69/0.92 ; 3 with value 18 1 with value 22 1 with value 29
% 0.69/0.92 ; 3 with value 19 1 with value 24
% 0.69/0.92 ; The agenda of rows to give has 1752 entries:
% 0.69/0.92 ; 1 with value (4 8) 181 with value (4 23) 4 with value (4 37)
% 0.69/0.92 ; 2 with value (4 12) 244 with value (4 24) 3 with value (4 39)
% 0.69/0.92 ; 7 with value (4 14) 347 with value (4 25) 1 with value (4 40)
% 0.69/0.92 ; 17 with value (4 15) 188 with value (4 26) 1 with value (4 41)
% 0.69/0.92 ; 27 with value (4 16) 63 with value (4 27) 2 with value (4 42)
% 0.69/0.92 ; 31 with value (4 17) 47 with value (4 28) 6 with value (4 43)
% 0.69/0.92 ; 35 with value (4 18) 39 with value (4 29) 2 with value (4 47)
% 0.69/0.92 ; 104 with value (4 19) 3 with value (4 30) 1 with value (4 48)
% 0.69/0.92 ; 147 with value (4 20) 2 with value (4 32) 3 with value (4 51)
% 0.69/0.92 ; 130 with value (4 21) 3 with value (4 35) 1 with value (4 55)
% 0.69/0.92 ; 110 with value (4 22)
% 0.69/0.92 Evaluation took:
% 0.69/0.92 0.453 seconds of real time
% 0.69/0.92 0.40626 seconds of user run time
% 0.69/0.92 0.047262 seconds of system run time
% 0.69/0.92 [Run times include 0.03 seconds GC run time.]
% 0.69/0.92 0 calls to %EVAL
% 0.69/0.92 0 page faults and
% 0.69/0.92 34,260,040 bytes consed.
% 0.69/0.92 :PROOF-FOUND
% 0.69/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:58:30
% 0.69/0.92 :PROOF-FOUND
% 0.69/0.92 *
%------------------------------------------------------------------------------