TSTP Solution File: SET682+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:11:31 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of clauses : 43 ( 18 unt; 4 nHn; 42 RR)
% Number of literals : 97 ( 6 equ; 56 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 59 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,binary_relation_type)
| ~ member(X,domain_of(Y))
| member('SKOLEMAAAV1'(Y),range_of(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(4,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',p2) ).
cnf(6,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',p4) ).
cnf(7,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',p4) ).
cnf(16,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
cnf(18,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',p12) ).
cnf(21,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/sandbox2/benchmark/theBenchmark.p',p14) ).
cnf(25,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
cnf(34,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',p18) ).
cnf(36,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/sandbox2/benchmark/theBenchmark.p',p20) ).
cnf(38,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/sandbox2/benchmark/theBenchmark.p',p22) ).
cnf(39,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/sandbox2/benchmark/theBenchmark.p',p23) ).
cnf(40,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
cnf(42,negated_conjecture,
~ empty('SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49) ).
cnf(43,negated_conjecture,
ilf_type('SKOLEMAAAV13',relation_type('SKOLEMAAAV11','SKOLEMAAAV12')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49) ).
cnf(45,negated_conjecture,
member('SKOLEMAAAV14',domain('SKOLEMAAAV11','SKOLEMAAAV12','SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49) ).
cnf(46,negated_conjecture,
( ~ ilf_type(X,member_type('SKOLEMAAAV12'))
| ~ member(X,range('SKOLEMAAAV11','SKOLEMAAAV12','SKOLEMAAAV13')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49) ).
cnf(47,plain,
( ~ ilf_type(X,binary_relation_type)
| ~ member(Y,domain_of(X))
| member('SKOLEMAAAV1'(X),range_of(X)) ),
inference('REWRITE',[status(thm)],[2,40]) ).
cnf(49,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[4,40]) ).
cnf(51,plain,
( empty(X)
| ~ ilf_type(Y,member_type(X))
| member(Y,X) ),
inference('REWRITE',[status(thm)],[6,40]) ).
cnf(52,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[7,40]) ).
cnf(57,plain,
( ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
inference('REWRITE',[status(thm)],[16,40]) ).
cnf(58,plain,
( ~ ilf_type(X,subset_type(Y))
| ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[18,40]) ).
cnf(61,plain,
( ~ member(X,power_set(Y))
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[21,40]) ).
cnf(64,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[25,40]) ).
cnf(69,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| relation_like(X) ),
inference('REWRITE',[status(thm)],[34,40]) ).
cnf(70,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| domain(Y,Z,X) = domain_of(X) ),
inference('REWRITE',[status(thm)],[36,40]) ).
cnf(72,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| range(Y,Z,X) = range_of(X) ),
inference('REWRITE',[status(thm)],[38,40]) ).
cnf(73,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(range(Y,Z,X),subset_type(Z)) ),
inference('REWRITE',[status(thm)],[39,40]) ).
cnf(102,plain,
ilf_type('SKOLEMAAAV13',subset_type(cross_product('SKOLEMAAAV11','SKOLEMAAAV12'))),
inference('HYPERRESOLVE',[status(thm)],[49,43]) ).
cnf(104,plain,
domain('SKOLEMAAAV11','SKOLEMAAAV12','SKOLEMAAAV13') = domain_of('SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[70,43]) ).
cnf(105,plain,
member('SKOLEMAAAV14',domain_of('SKOLEMAAAV13')),
inference('REWRITE',[status(thm)],[45,104,theory(equality)]) ).
cnf(111,plain,
range('SKOLEMAAAV11','SKOLEMAAAV12','SKOLEMAAAV13') = range_of('SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[72,43]) ).
cnf(112,plain,
( ~ ilf_type(X,member_type('SKOLEMAAAV12'))
| ~ member(X,range_of('SKOLEMAAAV13')) ),
inference('REWRITE',[status(thm)],[46,111,theory(equality)]) ).
cnf(114,plain,
ilf_type(range_of('SKOLEMAAAV13'),subset_type('SKOLEMAAAV12')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[73,43]),111,theory(equality)]) ).
cnf(130,plain,
ilf_type(range_of('SKOLEMAAAV13'),member_type(power_set('SKOLEMAAAV12'))),
inference('HYPERRESOLVE',[status(thm)],[58,114]) ).
cnf(158,plain,
relation_like('SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[69,102]) ).
cnf(160,plain,
ilf_type('SKOLEMAAAV13',binary_relation_type),
inference('HYPERRESOLVE',[status(thm)],[57,158]) ).
cnf(164,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV13'),range_of('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[47,160,105]) ).
cnf(188,plain,
member(range_of('SKOLEMAAAV13'),power_set('SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[51,130,64]) ).
cnf(208,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV13'),'SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[61,164,188]) ).
cnf(209,plain,
~ ilf_type('SKOLEMAAAV1'('SKOLEMAAAV13'),member_type('SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[112,164]) ).
cnf(219,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[52,208,42]),209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 09:00:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:00:43
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T09:00:43
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.57 ||#
% 0.19/0.57
% 0.19/0.57 ; Summary of computation:
% 0.19/0.57 ; 425 formulas have been input or derived (from 86 formulas).
% 0.19/0.57 ; 219 (52%) were retained. Of these,
% 0.19/0.57 ; 44 (20%) were simplified or subsumed later,
% 0.19/0.57 ; 175 (80%) are still being kept.
% 0.19/0.57 ;
% 0.19/0.57 ; Run time in seconds excluding printing time:
% 0.19/0.57 ; 0.008 10% Read assertion file (1 call)
% 0.19/0.57 ; 0.002 2% Assert (25 calls)
% 0.19/0.57 ; 0.022 26% Process new row (372 calls)
% 0.19/0.57 ; 0.010 12% Resolution (170 calls)
% 0.19/0.57 ; 0.000 0% Paramodulation (85 calls)
% 0.19/0.57 ; 0.000 0% Factoring (6 calls)
% 0.19/0.57 ; 0.003 4% Condensing (129 calls)
% 0.19/0.57 ; 0.002 2% Forward subsumption (129 calls)
% 0.19/0.57 ; 0.001 1% Backward subsumption (112 calls)
% 0.19/0.57 ; 0.000 0% Clause clause subsumption (52 calls)
% 0.19/0.57 ; 0.007 8% Forward simplification (372 calls)
% 0.19/0.57 ; 0.005 6% Backward simplification (219 calls)
% 0.19/0.57 ; 0.000 0% Ordering (111 calls)
% 0.19/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.57 ; 0.001 1% Purity testing (1 call)
% 0.19/0.57 ; 0.023 27% Other
% 0.19/0.57 ; 0.084 Total
% 0.19/0.57 ; 0.089 Real time
% 0.19/0.57 ;
% 0.19/0.57 ; Term-hash-array has 416 terms in all.
% 0.19/0.57 ; Feature-vector-row-index has 71 entries (73 at peak, 112 added, 41 deleted).
% 0.19/0.57 ; Feature-vector-row-index has 403 nodes (412 at peak, 587 added, 184 deleted).
% 0.19/0.57 ; Retrieved 82 possibly forward subsuming rows in 129 calls.
% 0.19/0.57 ; Retrieved 7 possibly backward subsumed rows in 112 calls.
% 0.19/0.57 ; Path-index has 378 entries (378 at peak, 464 added, 86 deleted).
% 0.19/0.57 ; Path-index has 1,220 nodes (1,220 at peak, 1,330 added, 110 deleted).
% 0.19/0.57 ; Trie-index has 378 entries (378 at peak, 464 added, 86 deleted).
% 0.19/0.57 ; Trie-index has 1,265 nodes (1,265 at peak, 1,478 added, 213 deleted).
% 0.19/0.57 ; Retrieved 248 generalization terms in 550 calls.
% 0.19/0.57 ; Retrieved 137 instance terms in 106 calls.
% 0.19/0.57 ; Retrieved 2,445 unifiable terms in 854 calls.
% 0.19/0.57 ;
% 0.19/0.57 ; The agenda of rows to process has 1 entry:
% 0.19/0.57 ; 1 with value 16
% 0.19/0.57 ; The agenda of rows to give has 91 entries:
% 0.19/0.57 ; 13 with value (4 12) 4 with value (4 20) 2 with value (4 27)
% 0.19/0.57 ; 12 with value (4 13) 1 with value (4 21) 3 with value (4 28)
% 0.19/0.57 ; 8 with value (4 14) 1 with value (4 22) 2 with value (4 30)
% 0.19/0.57 ; 11 with value (4 15) 2 with value (4 23) 2 with value (4 32)
% 0.19/0.57 ; 10 with value (4 16) 1 with value (4 24) 2 with value (4 35)
% 0.19/0.57 ; 2 with value (4 17) 1 with value (4 25) 1 with value (4 37)
% 0.19/0.57 ; 3 with value (4 18) 2 with value (4 26) 1 with value (4 40)
% 0.19/0.57 ; 7 with value (4 19)
% 0.19/0.57 Evaluation took:
% 0.19/0.57 0.089 seconds of real time
% 0.19/0.57 0.077969 seconds of user run time
% 0.19/0.57 0.011003 seconds of system run time
% 0.19/0.57 0 calls to %EVAL
% 0.19/0.57 0 page faults and
% 0.19/0.57 7,280,304 bytes consed.
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:00:43
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 *
%------------------------------------------------------------------------------