TSTP Solution File: SET657+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET657+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:11:20 EDT 2022
% Result : Theorem 1.30s 1.48s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 55 ( 23 unt; 6 nHn; 51 RR)
% Number of literals : 126 ( 8 equ; 73 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 82 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ ilf_type(X,binary_relation_type)
| field_of(X) = union(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)
| ~ member(Z,union(X,Y))
| member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| member(Z,union(X,Y))
| ~ member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(5,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| member(Z,union(X,Y))
| ~ member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(9,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',p7) ).
cnf(13,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| member('SKOLEMAAAW2'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
cnf(14,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| ~ member('SKOLEMAAAW2'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
cnf(20,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).
cnf(22,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',p16) ).
cnf(26,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ member(X,power_set(Y))
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
cnf(30,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
cnf(32,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',p23) ).
cnf(45,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',p27) ).
cnf(53,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| domain(X,Y,Z) = domain_of(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
cnf(54,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(domain(X,Y,Z),subset_type(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34) ).
cnf(55,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| range(X,Y,Z) = range_of(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
cnf(56,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(range(X,Y,Z),subset_type(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36) ).
cnf(57,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37) ).
cnf(58,negated_conjecture,
ilf_type('SKOLEMAAAW14',relation_type('SKOLEMAAAW12','SKOLEMAAAW13')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_19) ).
cnf(59,negated_conjecture,
~ subset(field_of('SKOLEMAAAW14'),union('SKOLEMAAAW12','SKOLEMAAAW13')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_19) ).
cnf(61,plain,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
inference('REWRITE',[status(thm)],[3,57]) ).
cnf(62,plain,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
inference('REWRITE',[status(thm)],[4,57]) ).
cnf(63,plain,
( member(X,union(Y,Z))
| ~ member(X,Z) ),
inference('REWRITE',[status(thm)],[5,57]) ).
cnf(65,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[9,57]) ).
cnf(68,plain,
( subset(X,Y)
| member('SKOLEMAAAW2'(X,Y),X) ),
inference('REWRITE',[status(thm)],[13,57]) ).
cnf(69,plain,
( subset(X,Y)
| ~ member('SKOLEMAAAW2'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[14,57]) ).
cnf(72,plain,
( ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
inference('REWRITE',[status(thm)],[20,57]) ).
cnf(73,plain,
( ~ ilf_type(X,subset_type(Y))
| ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[22,57]) ).
cnf(77,plain,
( ~ member(X,power_set(Y))
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[26,57]) ).
cnf(80,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[30,57]) ).
cnf(81,plain,
( empty(X)
| ~ ilf_type(Y,member_type(X))
| member(Y,X) ),
inference('REWRITE',[status(thm)],[32,57]) ).
cnf(90,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| relation_like(X) ),
inference('REWRITE',[status(thm)],[45,57]) ).
cnf(96,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| domain(Y,Z,X) = domain_of(X) ),
inference('REWRITE',[status(thm)],[53,57]) ).
cnf(97,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(domain(Y,Z,X),subset_type(Y)) ),
inference('REWRITE',[status(thm)],[54,57]) ).
cnf(98,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| range(Y,Z,X) = range_of(X) ),
inference('REWRITE',[status(thm)],[55,57]) ).
cnf(99,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(range(Y,Z,X),subset_type(Z)) ),
inference('REWRITE',[status(thm)],[56,57]) ).
cnf(108,plain,
member('SKOLEMAAAW2'(field_of('SKOLEMAAAW14'),union('SKOLEMAAAW12','SKOLEMAAAW13')),field_of('SKOLEMAAAW14')),
inference('HYPERRESOLVE',[status(thm)],[59,68]) ).
cnf(109,plain,
~ member('SKOLEMAAAW2'(field_of('SKOLEMAAAW14'),union('SKOLEMAAAW12','SKOLEMAAAW13')),union('SKOLEMAAAW12','SKOLEMAAAW13')),
inference('UR-RESOLVE',[status(thm)],[69,59]) ).
cnf(140,plain,
ilf_type('SKOLEMAAAW14',subset_type(cross_product('SKOLEMAAAW12','SKOLEMAAAW13'))),
inference('HYPERRESOLVE',[status(thm)],[65,58]) ).
cnf(142,plain,
domain('SKOLEMAAAW12','SKOLEMAAAW13','SKOLEMAAAW14') = domain_of('SKOLEMAAAW14'),
inference('HYPERRESOLVE',[status(thm)],[96,58]) ).
cnf(144,plain,
ilf_type(domain_of('SKOLEMAAAW14'),subset_type('SKOLEMAAAW12')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[97,58]),142,theory(equality)]) ).
cnf(146,plain,
range('SKOLEMAAAW12','SKOLEMAAAW13','SKOLEMAAAW14') = range_of('SKOLEMAAAW14'),
inference('HYPERRESOLVE',[status(thm)],[98,58]) ).
cnf(148,plain,
ilf_type(range_of('SKOLEMAAAW14'),subset_type('SKOLEMAAAW13')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[99,58]),146,theory(equality)]) ).
cnf(197,plain,
ilf_type(domain_of('SKOLEMAAAW14'),member_type(power_set('SKOLEMAAAW12'))),
inference('HYPERRESOLVE',[status(thm)],[73,144]) ).
cnf(198,plain,
ilf_type(range_of('SKOLEMAAAW14'),member_type(power_set('SKOLEMAAAW13'))),
inference('HYPERRESOLVE',[status(thm)],[73,148]) ).
cnf(241,plain,
relation_like('SKOLEMAAAW14'),
inference('HYPERRESOLVE',[status(thm)],[90,140]) ).
cnf(243,plain,
ilf_type('SKOLEMAAAW14',binary_relation_type),
inference('HYPERRESOLVE',[status(thm)],[72,241]) ).
cnf(249,plain,
field_of('SKOLEMAAAW14') = union(domain_of('SKOLEMAAAW14'),range_of('SKOLEMAAAW14')),
inference('HYPERRESOLVE',[status(thm)],[2,243]) ).
cnf(298,plain,
member(domain_of('SKOLEMAAAW14'),power_set('SKOLEMAAAW12')),
inference('UR-RESOLVE',[status(thm)],[81,197,80]) ).
cnf(308,plain,
member(range_of('SKOLEMAAAW14'),power_set('SKOLEMAAAW13')),
inference('UR-RESOLVE',[status(thm)],[81,198,80]) ).
cnf(625,plain,
~ member('SKOLEMAAAW2'(field_of('SKOLEMAAAW14'),union('SKOLEMAAAW12','SKOLEMAAAW13')),'SKOLEMAAAW13'),
inference('UR-RESOLVE',[status(thm)],[63,109]) ).
cnf(626,plain,
~ member('SKOLEMAAAW2'(field_of('SKOLEMAAAW14'),union('SKOLEMAAAW12','SKOLEMAAAW13')),'SKOLEMAAAW12'),
inference('UR-RESOLVE',[status(thm)],[62,109]) ).
cnf(670,plain,
~ member('SKOLEMAAAW2'(field_of('SKOLEMAAAW14'),union('SKOLEMAAAW12','SKOLEMAAAW13')),range_of('SKOLEMAAAW14')),
inference('UR-RESOLVE',[status(thm)],[77,625,308]) ).
cnf(714,plain,
~ member('SKOLEMAAAW2'(field_of('SKOLEMAAAW14'),union('SKOLEMAAAW12','SKOLEMAAAW13')),domain_of('SKOLEMAAAW14')),
inference('UR-RESOLVE',[status(thm)],[77,626,298]) ).
cnf(5961,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[61,714,670]),108,249,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET657+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 : Sun Jul 10 08:56:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:56:08
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T08:56:08
% 1.30/1.48
% 1.30/1.48
% 1.30/1.48 #||
% 1.30/1.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.48 % SZS output start Refutation
% See solution above
% 1.30/1.48 ||#
% 1.30/1.48
% 1.30/1.48 ; Summary of computation:
% 1.30/1.48 ; 10470 formulas have been input or derived (from 413 formulas).
% 1.30/1.48 ; 5961 (57%) were retained. Of these,
% 1.30/1.48 ; 456 ( 8%) were simplified or subsumed later,
% 1.30/1.48 ; 5505 (92%) are still being kept.
% 1.30/1.48 ;
% 1.30/1.48 ; Run time in seconds excluding printing time:
% 1.30/1.48 ; 0.012 1% Read assertion file (1 call)
% 1.30/1.48 ; 0.003 0% Assert (38 calls)
% 1.30/1.48 ; 0.417 42% Process new row (9,446 calls)
% 1.30/1.48 ; 0.188 19% Resolution (824 calls)
% 1.30/1.48 ; 0.013 1% Paramodulation (412 calls)
% 1.30/1.48 ; 0.000 0% Factoring (35 calls)
% 1.30/1.48 ; 0.011 1% Condensing (1,127 calls)
% 1.30/1.48 ; 0.031 3% Forward subsumption (1,127 calls)
% 1.30/1.48 ; 0.020 2% Backward subsumption (614 calls)
% 1.30/1.48 ; 0.020 2% Clause clause subsumption (2,482 calls)
% 1.30/1.48 ; 0.150 15% Forward simplification (9,446 calls)
% 1.30/1.48 ; 0.055 6% Backward simplification (5,961 calls)
% 1.30/1.48 ; 0.009 1% Ordering (2,502 calls)
% 1.30/1.48 ; 0.000 0% Sortal reasoning (32 calls)
% 1.30/1.48 ; 0.000 0% Purity testing (1 call)
% 1.30/1.48 ; 0.064 6% Other
% 1.30/1.48 ; 0.993 Total
% 1.30/1.48 ; 0.997 Real time
% 1.30/1.48 ;
% 1.30/1.48 ; Term-hash-array has 9,532 terms in all.
% 1.30/1.48 ; Feature-vector-row-index has 560 entries (560 at peak, 614 added, 54 deleted).
% 1.30/1.48 ; Feature-vector-row-index has 3,016 nodes (3,016 at peak, 3,252 added, 236 deleted).
% 1.30/1.48 ; Retrieved 3,452 possibly forward subsuming rows in 1,127 calls.
% 1.30/1.48 ; Retrieved 352 possibly backward subsumed rows in 614 calls.
% 1.30/1.48 ; Path-index has 9,075 entries (9,075 at peak, 9,592 added, 517 deleted).
% 1.30/1.48 ; Path-index has 14,341 nodes (14,341 at peak, 15,310 added, 969 deleted).
% 1.30/1.48 ; Trie-index has 9,075 entries (9,075 at peak, 9,592 added, 517 deleted).
% 1.30/1.48 ; Trie-index has 34,665 nodes (34,665 at peak, 38,701 added, 4,036 deleted).
% 1.30/1.48 ; Retrieved 7,501 generalization terms in 25,261 calls.
% 1.30/1.48 ; Retrieved 5,674 instance terms in 5,346 calls.
% 1.30/1.48 ; Retrieved 165,957 unifiable terms in 8,867 calls.
% 1.30/1.48 ;
% 1.30/1.48 ; The agenda of rows to process has 61 entries:
% 1.30/1.48 ; 9 with value 20 5 with value 23 12 with value 26
% 1.30/1.48 ; 10 with value 21 12 with value 25 1 with value 28
% 1.30/1.48 ; 12 with value 22
% 1.30/1.48 ; The agenda of rows to give has 5092 entries:
% 1.30/1.48 ; 4 with value (4 15) 46 with value (4 29) 5 with value (4 43)
% 1.30/1.48 ; 110 with value (4 16) 28 with value (4 30) 2 with value (4 44)
% 1.30/1.48 ; 199 with value (4 17) 45 with value (4 31) 2 with value (4 45)
% 1.30/1.48 ; 316 with value (4 18) 39 with value (4 32) 7 with value (4 46)
% 1.30/1.48 ; 457 with value (4 19) 31 with value (4 33) 11 with value (4 47)
% 1.30/1.48 ; 508 with value (4 20) 33 with value (4 34) 4 with value (4 48)
% 1.30/1.48 ; 632 with value (4 21) 54 with value (4 35) 10 with value (4 49)
% 1.30/1.48 ; 685 with value (4 22) 50 with value (4 36) 4 with value (4 51)
% 1.30/1.48 ; 567 with value (4 23) 35 with value (4 37) 6 with value (4 53)
% 1.30/1.48 ; 519 with value (4 24) 16 with value (4 38) 2 with value (4 58)
% 1.30/1.48 ; 328 with value (4 25) 33 with value (4 39) 2 with value (4 59)
% 1.30/1.48 ; 162 with value (4 26) 18 with value (4 40) 2 with value (4 60)
% 1.30/1.48 ; 51 with value (4 27) 4 with value (4 41) 2 with value (4 61)
% 1.30/1.48 ; 49 with value (4 28) 10 with value (4 42) 4 with value (4 65)
% 1.30/1.48 Evaluation took:
% 1.30/1.48 0.998 seconds of real time
% 1.30/1.48 0.910042 seconds of user run time
% 1.30/1.48 0.087792 seconds of system run time
% 1.30/1.48 [Run times include 0.128 seconds GC run time.]
% 1.30/1.48 0 calls to %EVAL
% 1.30/1.48 0 page faults and
% 1.30/1.48 74,625,464 bytes consed.
% 1.30/1.48 :PROOF-FOUND
% 1.30/1.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:56:09
% 1.30/1.48 :PROOF-FOUND
% 1.30/1.48 *
%------------------------------------------------------------------------------