TSTP Solution File: SET684+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:11:32 EDT 2022
% Result : Theorem 27.27s 27.50s
% Output : Refutation 27.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 42 ( 17 unt; 6 nHn; 41 RR)
% Number of literals : 113 ( 3 equ; 69 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-5 aty)
% Number of variables : 68 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,binary_relation_type)
| ~ ilf_type(U,binary_relation_type)
| ~ member(ordered_pair(X,Y),compose(Z,U))
| member(ordered_pair(X,'SKOLEMAAAV1'(X,Z,Y,U)),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(3,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,binary_relation_type)
| ~ ilf_type(U,binary_relation_type)
| ~ member(ordered_pair(X,Y),compose(Z,U))
| member(ordered_pair('SKOLEMAAAV1'(X,Z,Y,U),Y),U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,binary_relation_type)
| ~ ilf_type(U,binary_relation_type)
| member(ordered_pair(X,Y),compose(Z,U))
| ~ ilf_type(V,set_type)
| ~ member(ordered_pair(X,V),Z)
| ~ member(ordered_pair(V,Y),U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(5,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,set_type)
| ~ ilf_type(V,relation_type(X,Y))
| ~ member(ordered_pair(Z,U),V)
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(13,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',p5) ).
cnf(16,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',p7) ).
cnf(27,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
cnf(49,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',p26) ).
cnf(50,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,relation_type(X,Y))
| ~ ilf_type(V,relation_type(Y,Z))
| compose5(X,Y,Z,U,V) = compose(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
cnf(52,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29) ).
cnf(54,negated_conjecture,
~ empty('SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_51) ).
cnf(56,negated_conjecture,
ilf_type('SKOLEMAAAV15',relation_type('SKOLEMAAAV12','SKOLEMAAAV13')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_51) ).
cnf(57,negated_conjecture,
ilf_type('SKOLEMAAAV16',relation_type('SKOLEMAAAV13','SKOLEMAAAV14')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_51) ).
cnf(60,negated_conjecture,
( ~ member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV18'),compose5('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14','SKOLEMAAAV15','SKOLEMAAAV16'))
| ~ ilf_type(X,member_type('SKOLEMAAAV13'))
| ~ member(ordered_pair('SKOLEMAAAV17',X),'SKOLEMAAAV15')
| ~ member(ordered_pair(X,'SKOLEMAAAV18'),'SKOLEMAAAV16') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_51) ).
cnf(62,negated_conjecture,
( member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV18'),compose5('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14','SKOLEMAAAV15','SKOLEMAAAV16'))
| member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV19'),'SKOLEMAAAV15') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_51) ).
cnf(63,negated_conjecture,
( member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV18'),compose5('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14','SKOLEMAAAV15','SKOLEMAAAV16'))
| member(ordered_pair('SKOLEMAAAV19','SKOLEMAAAV18'),'SKOLEMAAAV16') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_51) ).
cnf(64,plain,
( ~ ilf_type(X,binary_relation_type)
| ~ ilf_type(Y,binary_relation_type)
| ~ member(ordered_pair(Z,U),compose(X,Y))
| member(ordered_pair(Z,'SKOLEMAAAV1'(Z,X,U,Y)),X) ),
inference('REWRITE',[status(thm)],[2,52]) ).
cnf(65,plain,
( ~ ilf_type(X,binary_relation_type)
| ~ ilf_type(Y,binary_relation_type)
| ~ member(ordered_pair(Z,U),compose(X,Y))
| member(ordered_pair('SKOLEMAAAV1'(Z,X,U,Y),U),Y) ),
inference('REWRITE',[status(thm)],[3,52]) ).
cnf(66,plain,
( ~ ilf_type(X,binary_relation_type)
| ~ ilf_type(Y,binary_relation_type)
| member(ordered_pair(Z,U),compose(X,Y))
| ~ member(ordered_pair(Z,V),X)
| ~ member(ordered_pair(V,U),Y) ),
inference('REWRITE',[status(thm)],[4,52]) ).
cnf(67,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ member(ordered_pair(U,V),X)
| member(U,Y) ),
inference('REWRITE',[status(thm)],[5,52]) ).
cnf(72,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[13,52]) ).
cnf(75,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[16,52]) ).
cnf(81,plain,
( ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
inference('REWRITE',[status(thm)],[27,52]) ).
cnf(96,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| relation_like(X) ),
inference('REWRITE',[status(thm)],[49,52]) ).
cnf(97,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ ilf_type(U,relation_type(Z,V))
| compose5(Y,Z,V,X,U) = compose(X,U) ),
inference('REWRITE',[status(thm)],[50,52]) ).
cnf(132,plain,
ilf_type('SKOLEMAAAV16',subset_type(cross_product('SKOLEMAAAV13','SKOLEMAAAV14'))),
inference('HYPERRESOLVE',[status(thm)],[72,57]) ).
cnf(133,plain,
ilf_type('SKOLEMAAAV15',subset_type(cross_product('SKOLEMAAAV12','SKOLEMAAAV13'))),
inference('HYPERRESOLVE',[status(thm)],[72,56]) ).
cnf(159,plain,
compose5('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14','SKOLEMAAAV15','SKOLEMAAAV16') = compose('SKOLEMAAAV15','SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[97,56,57]) ).
cnf(160,plain,
( ~ member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV18'),compose('SKOLEMAAAV15','SKOLEMAAAV16'))
| ~ ilf_type(X,member_type('SKOLEMAAAV13'))
| ~ member(ordered_pair('SKOLEMAAAV17',X),'SKOLEMAAAV15')
| ~ member(ordered_pair(X,'SKOLEMAAAV18'),'SKOLEMAAAV16') ),
inference('REWRITE',[status(thm)],[60,159,theory(equality)]) ).
cnf(162,plain,
( member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV18'),compose('SKOLEMAAAV15','SKOLEMAAAV16'))
| member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV19'),'SKOLEMAAAV15') ),
inference('REWRITE',[status(thm)],[62,159,theory(equality)]) ).
cnf(163,plain,
( member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV18'),compose('SKOLEMAAAV15','SKOLEMAAAV16'))
| member(ordered_pair('SKOLEMAAAV19','SKOLEMAAAV18'),'SKOLEMAAAV16') ),
inference('REWRITE',[status(thm)],[63,159,theory(equality)]) ).
cnf(231,plain,
relation_like('SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[96,132]) ).
cnf(233,plain,
ilf_type('SKOLEMAAAV16',binary_relation_type),
inference('HYPERRESOLVE',[status(thm)],[81,231]) ).
cnf(245,plain,
relation_like('SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[96,133]) ).
cnf(247,plain,
ilf_type('SKOLEMAAAV15',binary_relation_type),
inference('HYPERRESOLVE',[status(thm)],[81,245]) ).
cnf(259,plain,
member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV18'),compose('SKOLEMAAAV15','SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[66,247,233,162,163]) ).
cnf(260,plain,
( ~ ilf_type(X,member_type('SKOLEMAAAV13'))
| ~ member(ordered_pair('SKOLEMAAAV17',X),'SKOLEMAAAV15')
| ~ member(ordered_pair(X,'SKOLEMAAAV18'),'SKOLEMAAAV16') ),
inference('REWRITE',[status(thm)],[160,259]) ).
cnf(807,plain,
member(ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV17','SKOLEMAAAV15','SKOLEMAAAV18','SKOLEMAAAV16'),'SKOLEMAAAV18'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[65,259,247,233]) ).
cnf(808,plain,
member(ordered_pair('SKOLEMAAAV17','SKOLEMAAAV1'('SKOLEMAAAV17','SKOLEMAAAV15','SKOLEMAAAV18','SKOLEMAAAV16')),'SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[64,259,247,233]) ).
cnf(44360,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV17','SKOLEMAAAV15','SKOLEMAAAV18','SKOLEMAAAV16'),'SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[67,807,57]) ).
cnf(44375,plain,
ilf_type('SKOLEMAAAV1'('SKOLEMAAAV17','SKOLEMAAAV15','SKOLEMAAAV18','SKOLEMAAAV16'),member_type('SKOLEMAAAV13')),
inference('UR-RESOLVE',[status(thm)],[75,44360,54]) ).
cnf(44383,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[260,808,807]),44375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 10:07:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:07:49
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T10:07:49
% 27.27/27.50
% 27.27/27.50
% 27.27/27.50 #||
% 27.27/27.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.27/27.50 % SZS output start Refutation
% See solution above
% 27.34/27.53 ||#
% 27.34/27.53
% 27.34/27.53 ; Summary of computation:
% 27.34/27.53 ; 88370 formulas have been input or derived (from 455 formulas).
% 27.34/27.53 ; 44383 (50%) were retained. Of these,
% 27.34/27.53 ; 684 ( 2%) were simplified or subsumed later,
% 27.34/27.53 ; 43699 (98%) are still being kept.
% 27.34/27.53 ;
% 27.34/27.53 ; Run time in seconds excluding printing time:
% 27.34/27.53 ; 0.011 0% Read assertion file (1 call)
% 27.34/27.53 ; 0.003 0% Assert (30 calls)
% 27.34/27.53 ; 3.940 15% Process new row (87,878 calls)
% 27.34/27.53 ; 19.457 72% Resolution (908 calls)
% 27.34/27.53 ; 0.059 0% Paramodulation (454 calls)
% 27.34/27.53 ; 0.000 0% Factoring (22 calls)
% 27.34/27.53 ; 0.009 0% Condensing (1,191 calls)
% 27.34/27.53 ; 0.081 0% Forward subsumption (1,191 calls)
% 27.34/27.53 ; 0.044 0% Backward subsumption (1,025 calls)
% 27.34/27.53 ; 0.012 0% Clause clause subsumption (2,990 calls)
% 27.34/27.53 ; 0.953 4% Forward simplification (87,876 calls)
% 27.34/27.53 ; 2.104 8% Backward simplification (44,381 calls)
% 27.34/27.53 ; 0.012 0% Ordering (2,490 calls)
% 27.34/27.53 ; 0.000 0% Sortal reasoning (32 calls)
% 27.34/27.53 ; 0.000 0% Purity testing (1 call)
% 27.34/27.53 ; 0.321 1% Other
% 27.34/27.53 ; 27.006 Total
% 27.34/27.53 ; 27.064 Real time
% 27.34/27.54 ;
% 27.34/27.54 ; Term-hash-array has 91,352 terms in all.
% 27.34/27.54 ; Feature-vector-row-index has 938 entries (948 at peak, 1,025 added, 87 deleted).
% 27.34/27.54 ; Feature-vector-row-index has 5,119 nodes (5,189 at peak, 5,882 added, 763 deleted).
% 27.34/27.54 ; Retrieved 3,532 possibly forward subsuming rows in 1,191 calls.
% 27.34/27.54 ; Retrieved 1,038 possibly backward subsumed rows in 1,025 calls.
% 27.34/27.54 ; Path-index has 90,695 entries (90,695 at peak, 91,486 added, 791 deleted).
% 27.34/27.54 ; Path-index has 11,387 nodes (11,387 at peak, 13,102 added, 1,715 deleted).
% 27.34/27.54 ; Trie-index has 90,695 entries (90,695 at peak, 91,486 added, 791 deleted).
% 27.34/27.54 ; Trie-index has 242,378 nodes (242,378 at peak, 250,184 added, 7,806 deleted).
% 27.34/27.54 ; Retrieved 43,837 generalization terms in 92,788 calls.
% 27.34/27.54 ; Retrieved 43,394 instance terms in 43,355 calls.
% 27.34/27.54 ; Retrieved 47,477,020 unifiable terms in 431,470 calls.
% 27.34/27.54 ;
% 27.34/27.54 ; The agenda of rows to process has 4 entries:
% 27.34/27.54 ; 1 with value 18 1 with value 22 1 with value 36
% 27.34/27.54 ; 1 with value 20
% 27.34/27.54 ; The agenda of rows to give has 43256 entries:
% 27.34/27.54 ; 1 with value (4 9) 48 with value (4 32) 98 with value (4 49)
% 27.34/27.54 ; 2 with value (4 12) 24 with value (4 33) 150 with value (4 50)
% 27.34/27.54 ; 121 with value (4 17) 54 with value (4 34) 26 with value (4 51)
% 27.34/27.54 ; 126 with value (4 18) 32 with value (4 35) 8 with value (4 52)
% 27.34/27.54 ; 392 with value (4 19) 96 with value (4 36) 2 with value (4 53)
% 27.34/27.54 ; 373 with value (4 20) 27 with value (4 37) 11 with value (4 54)
% 27.34/27.54 ; 1837 with value (4 21) 101 with value (4 38) 15 with value (4 55)
% 27.34/27.54 ; 638 with value (4 22) 50 with value (4 39) 3 with value (4 56)
% 27.34/27.54 ; 5977 with value (4 23) 74 with value (4 40) 13 with value (4 57)
% 27.34/27.54 ; 1603 with value (4 24) 13 with value (4 41) 16 with value (4 58)
% 27.34/27.54 ; 13032 with value (4 25) 85 with value (4 42) 22 with value (4 60)
% 27.34/27.54 ; 3195 with value (4 26) 25 with value (4 43) 98 with value (4 61)
% 27.34/27.54 ; 11820 with value (4 27) 100 with value (4 44) 12 with value (4 62)
% 27.34/27.54 ; 2404 with value (4 28) 12 with value (4 45) 4 with value (4 67)
% 27.34/27.54 ; 390 with value (4 29) 4 with value (4 46) 10 with value (4 68)
% 27.34/27.54 ; 36 with value (4 30) 29 with value (4 47) 6 with value (4 70)
% 27.34/27.54 ; 18 with value (4 31) 15 with value (4 48) 8 with value (4 72)
% 27.34/27.54 Evaluation took:
% 27.34/27.54 27.068 seconds of real time
% 27.34/27.54 26.183971 seconds of user run time
% 27.34/27.54 0.8624 seconds of system run time
% 27.34/27.54 [Run times include 3.207 seconds GC run time.]
% 27.34/27.54 0 calls to %EVAL
% 27.34/27.54 0 page faults and
% 27.34/27.54 1,174,715,368 bytes consed.
% 27.34/27.54 :PROOF-FOUND
% 27.34/27.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:08:16
% 27.34/27.54 :PROOF-FOUND
% 27.34/27.54 *
%------------------------------------------------------------------------------