%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET675+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 05:11:28 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 41 ( 14 unt; 0 nHn; 36 RR)
% Number of literals : 87 ( 36 equ; 54 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 59 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,binary_relation_type)
| image(X,domain_of(X)) = range_of(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,binary_relation_type)
| inverse2(X,range_of(X)) = domain_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,relation_type(X,Y))
| image4(X,Y,Z,X) = range(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| inverse4(X,Y,Z,Y) = domain(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(6,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(16,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
cnf(41,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)
| ~ 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',p27) ).
cnf(49,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',p29) ).
cnf(51,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ~ ilf_type(U,set_type)
| image4(X,Y,Z,U) = image(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
cnf(53,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ~ ilf_type(U,set_type)
| inverse4(X,Y,Z,U) = inverse2(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
cnf(55,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
cnf(56,negated_conjecture,
ilf_type('SKOLEMAAAV13',relation_type('SKOLEMAAAV12','SKOLEMAAAV11')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_39) ).
cnf(57,negated_conjecture,
( image4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13','SKOLEMAAAV11')) != range('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13')
| inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',image4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13','SKOLEMAAAV12')) != domain('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_39) ).
cnf(58,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| image4(Y,Z,X,Y) = range(Y,Z,X) ),
inference('REWRITE',[status(thm)],[3,55]) ).
cnf(59,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| inverse4(Y,Z,X,Z) = domain(Y,Z,X) ),
inference('REWRITE',[status(thm)],[4,55]) ).
cnf(61,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[6,55]) ).
cnf(66,plain,
( ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
inference('REWRITE',[status(thm)],[16,55]) ).
cnf(84,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| relation_like(X) ),
inference('REWRITE',[status(thm)],[41,55]) ).
cnf(88,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| domain(Y,Z,X) = domain_of(X) ),
inference('REWRITE',[status(thm)],[47,55]) ).
cnf(90,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| range(Y,Z,X) = range_of(X) ),
inference('REWRITE',[status(thm)],[49,55]) ).
cnf(92,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| image4(Y,Z,X,U) = image(X,U) ),
inference('REWRITE',[status(thm)],[51,55]) ).
cnf(94,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| inverse4(Y,Z,X,U) = inverse2(X,U) ),
inference('REWRITE',[status(thm)],[53,55]) ).
cnf(123,plain,
ilf_type('SKOLEMAAAV13',subset_type(cross_product('SKOLEMAAAV12','SKOLEMAAAV11'))),
inference('HYPERRESOLVE',[status(thm)],[61,56]) ).
cnf(125,plain,
domain('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13') = domain_of('SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[88,56]) ).
cnf(126,plain,
( image4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13','SKOLEMAAAV11')) != range('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13')
| inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',image4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13','SKOLEMAAAV12')) != domain_of('SKOLEMAAAV13') ),
inference('REWRITE',[status(thm)],[57,125,theory(equality)]) ).
cnf(130,plain,
range('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13') = range_of('SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[90,56]) ).
cnf(131,plain,
( image4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13','SKOLEMAAAV11')) != range_of('SKOLEMAAAV13')
| inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',image4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13','SKOLEMAAAV12')) != domain_of('SKOLEMAAAV13') ),
inference('REWRITE',[status(thm)],[126,130,theory(equality)]) ).
cnf(139,plain,
image4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',X) = image('SKOLEMAAAV13',X),
inference('HYPERRESOLVE',[status(thm)],[92,56]) ).
cnf(141,plain,
( image('SKOLEMAAAV13',inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13','SKOLEMAAAV11')) != range_of('SKOLEMAAAV13')
| inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',image('SKOLEMAAAV13','SKOLEMAAAV12')) != domain_of('SKOLEMAAAV13') ),
inference('REWRITE',[status(thm)],[131,139,theory(equality)]) ).
cnf(144,plain,
inverse4('SKOLEMAAAV12','SKOLEMAAAV11','SKOLEMAAAV13',X) = inverse2('SKOLEMAAAV13',X),
inference('HYPERRESOLVE',[status(thm)],[94,56]) ).
cnf(145,plain,
( image('SKOLEMAAAV13',inverse2('SKOLEMAAAV13','SKOLEMAAAV11')) != range_of('SKOLEMAAAV13')
| inverse2('SKOLEMAAAV13',image('SKOLEMAAAV13','SKOLEMAAAV12')) != domain_of('SKOLEMAAAV13') ),
inference('REWRITE',[status(thm)],[141,144,theory(equality)]) ).
cnf(149,plain,
image('SKOLEMAAAV13','SKOLEMAAAV12') = range_of('SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[58,56]),130,139,theory(equality)]) ).
cnf(150,plain,
( image('SKOLEMAAAV13',inverse2('SKOLEMAAAV13','SKOLEMAAAV11')) != range_of('SKOLEMAAAV13')
| inverse2('SKOLEMAAAV13',range_of('SKOLEMAAAV13')) != domain_of('SKOLEMAAAV13') ),
inference('REWRITE',[status(thm)],[145,149,theory(equality)]) ).
cnf(152,plain,
inverse2('SKOLEMAAAV13','SKOLEMAAAV11') = domain_of('SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,56]),125,144,theory(equality)]) ).
cnf(153,plain,
( image('SKOLEMAAAV13',domain_of('SKOLEMAAAV13')) != range_of('SKOLEMAAAV13')
| inverse2('SKOLEMAAAV13',range_of('SKOLEMAAAV13')) != domain_of('SKOLEMAAAV13') ),
inference('REWRITE',[status(thm)],[150,152,theory(equality)]) ).
cnf(187,plain,
relation_like('SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[84,123]) ).
cnf(189,plain,
ilf_type('SKOLEMAAAV13',binary_relation_type),
inference('HYPERRESOLVE',[status(thm)],[66,187]) ).
cnf(193,plain,
inverse2('SKOLEMAAAV13',range_of('SKOLEMAAAV13')) = domain_of('SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[2,189]) ).
cnf(194,plain,
image('SKOLEMAAAV13',domain_of('SKOLEMAAAV13')) != range_of('SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[153,193,theory(equality)]) ).
cnf(195,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,189]),194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET675+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 07:59:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:59:08
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T07:59:08
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 #||
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.39/0.56 ||#
% 0.39/0.56
% 0.39/0.56 ; Summary of computation:
% 0.39/0.56 ; 316 formulas have been input or derived (from 62 formulas).
% 0.39/0.56 ; 195 (62%) were retained. Of these,
% 0.39/0.56 ; 62 (32%) were simplified or subsumed later,
% 0.39/0.56 ; 133 (68%) are still being kept.
% 0.39/0.56 ;
% 0.39/0.56 ; Run time in seconds excluding printing time:
% 0.39/0.56 ; 0.011 13% Read assertion file (1 call)
% 0.39/0.56 ; 0.002 2% Assert (36 calls)
% 0.39/0.56 ; 0.018 22% Process new row (262 calls)
% 0.39/0.56 ; 0.003 4% Resolution (122 calls)
% 0.39/0.56 ; 0.001 1% Paramodulation (61 calls)
% 0.39/0.56 ; 0.000 0% Factoring (6 calls)
% 0.39/0.56 ; 0.004 5% Condensing (149 calls)
% 0.39/0.56 ; 0.005 6% Forward subsumption (149 calls)
% 0.39/0.56 ; 0.002 2% Backward subsumption (135 calls)
% 0.39/0.56 ; 0.000 0% Clause clause subsumption (53 calls)
% 0.39/0.56 ; 0.005 6% Forward simplification (262 calls)
% 0.39/0.56 ; 0.005 6% Backward simplification (195 calls)
% 0.39/0.56 ; 0.001 1% Ordering (131 calls)
% 0.39/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.39/0.56 ; 0.000 0% Purity testing (1 call)
% 0.39/0.56 ; 0.024 29% Other
% 0.39/0.56 ; 0.082 Total
% 0.39/0.56 ; 0.088 Real time
% 0.39/0.56 ;
% 0.39/0.56 ; Term-hash-array has 368 terms in all.
% 0.39/0.56 ; Feature-vector-row-index has 77 entries (78 at peak, 135 added, 58 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 352 nodes (365 at peak, 686 added, 334 deleted).
% 0.39/0.56 ; Retrieved 57 possibly forward subsuming rows in 149 calls.
% 0.39/0.56 ; Retrieved 10 possibly backward subsumed rows in 135 calls.
% 0.39/0.56 ; Path-index has 304 entries (304 at peak, 435 added, 131 deleted).
% 0.39/0.56 ; Path-index has 1,033 nodes (1,033 at peak, 1,283 added, 250 deleted).
% 0.39/0.56 ; Trie-index has 304 entries (304 at peak, 435 added, 131 deleted).
% 0.39/0.56 ; Trie-index has 1,021 nodes (1,021 at peak, 1,458 added, 437 deleted).
% 0.39/0.56 ; Retrieved 165 generalization terms in 460 calls.
% 0.39/0.56 ; Retrieved 89 instance terms in 59 calls.
% 0.39/0.56 ; Retrieved 1,312 unifiable terms in 424 calls.
% 0.39/0.56 ;
% 0.39/0.56 ; The agenda of rows to process has 2 entries:
% 0.39/0.56 ; 2 with value 14
% 0.39/0.56 ; The agenda of input rows to give has 1 entry:
% 0.39/0.56 ; 1 with value 10
% 0.39/0.56 ; The agenda of rows to give has 71 entries:
% 0.39/0.56 ; 3 with value (4 10) 4 with value (4 18) 1 with value (4 25)
% 0.39/0.56 ; 10 with value (4 11) 9 with value (4 19) 2 with value (4 26)
% 0.39/0.56 ; 10 with value (4 12) 3 with value (4 20) 2 with value (4 27)
% 0.39/0.56 ; 1 with value (4 13) 2 with value (4 21) 1 with value (4 28)
% 0.39/0.56 ; 4 with value (4 14) 1 with value (4 22) 1 with value (4 30)
% 0.39/0.56 ; 3 with value (4 15) 2 with value (4 23) 2 with value (4 35)
% 0.39/0.56 ; 4 with value (4 16) 1 with value (4 24) 1 with value (4 40)
% 0.39/0.56 ; 4 with value (4 17)
% 0.39/0.56 Evaluation took:
% 0.39/0.56 0.088 seconds of real time
% 0.39/0.56 0.071667 seconds of user run time
% 0.39/0.56 0.01722 seconds of system run time
% 0.39/0.56 0 calls to %EVAL
% 0.39/0.56 0 page faults and
% 0.39/0.56 7,886,288 bytes consed.
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:59:08
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 *
%------------------------------------------------------------------------------