TSTP Solution File: SET658+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 05:11:21 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,binary_relation_type)
| ~ subset(domain_of(Y),X)
| ilf_type(Y,relation_type(X,range_of(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(25,axiom,
( ~ ilf_type(X,set_type)
| subset(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
cnf(50,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
cnf(51,negated_conjecture,
ilf_type('SKOLEMAAAU13',binary_relation_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_20) ).
cnf(52,negated_conjecture,
~ ilf_type('SKOLEMAAAU13',relation_type(domain_of('SKOLEMAAAU13'),range_of('SKOLEMAAAU13'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_20) ).
cnf(57,plain,
( ~ ilf_type(X,binary_relation_type)
| ~ subset(domain_of(X),Y)
| ilf_type(X,relation_type(Y,range_of(X))) ),
inference('REWRITE',[status(thm)],[1,50]) ).
cnf(69,plain,
subset(X,X),
inference('REWRITE',[status(thm)],[25,50]) ).
cnf(119,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[57,51,69,52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 21:07:47 EDT 2022
% 0.12/0.34 % 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 2022-07-09T21:07:47
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-09T21:07:47
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 151 formulas have been input or derived (from 38 formulas).
% 0.20/0.53 ; 119 (79%) were retained. Of these,
% 0.20/0.53 ; 48 (40%) were simplified or subsumed later,
% 0.20/0.53 ; 71 (60%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds:
% 0.20/0.53 ; 0.008 14% Read assertion file (1 call)
% 0.20/0.53 ; 0.003 5% Assert (29 calls)
% 0.20/0.53 ; 0.012 21% Process new row (135 calls)
% 0.20/0.53 ; 0.001 2% Resolution (74 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (37 calls)
% 0.20/0.53 ; 0.000 0% Factoring (5 calls)
% 0.20/0.53 ; 0.001 2% Condensing (98 calls)
% 0.20/0.53 ; 0.001 2% Forward subsumption (98 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (95 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (23 calls)
% 0.20/0.53 ; 0.007 12% Forward simplification (135 calls)
% 0.20/0.53 ; 0.002 3% Backward simplification (119 calls)
% 0.20/0.53 ; 0.000 0% Ordering (51 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.023 40% Other
% 0.20/0.53 ; 0.058 Total
% 0.20/0.53 ; 0.059 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 187 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 47 entries (48 at peak, 95 added, 48 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 179 nodes (213 at peak, 391 added, 212 deleted).
% 0.20/0.53 ; Retrieved 24 possibly forward subsuming rows in 98 calls.
% 0.20/0.53 ; Retrieved 4 possibly backward subsumed rows in 95 calls.
% 0.20/0.53 ; Path-index has 149 entries (149 at peak, 243 added, 94 deleted).
% 0.20/0.53 ; Path-index has 472 nodes (472 at peak, 589 added, 117 deleted).
% 0.20/0.53 ; Trie-index has 149 entries (149 at peak, 243 added, 94 deleted).
% 0.20/0.53 ; Trie-index has 428 nodes (428 at peak, 658 added, 230 deleted).
% 0.20/0.53 ; Retrieved 59 generalization terms in 249 calls.
% 0.20/0.53 ; Retrieved 42 instance terms in 23 calls.
% 0.20/0.53 ; Retrieved 656 unifiable terms in 204 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 8 entries:
% 0.20/0.53 ; 1 with value 5 4 with value 11 2 with value 20
% 0.20/0.53 ; 1 with value 8
% 0.20/0.53 ; The agenda of input rows to give has 2 entries:
% 0.20/0.53 ; 2 with value 20
% 0.20/0.53 ; The agenda of rows to give has 31 entries:
% 0.20/0.53 ; 2 with value (4 4) 1 with value (4 13) 2 with value (4 21)
% 0.20/0.53 ; 1 with value (4 7) 1 with value (4 14) 2 with value (4 23)
% 0.20/0.53 ; 1 with value (4 9) 2 with value (4 15) 1 with value (4 26)
% 0.20/0.53 ; 4 with value (4 10) 2 with value (4 17) 2 with value (4 27)
% 0.20/0.53 ; 4 with value (4 11) 3 with value (4 18) 1 with value (4 30)
% 0.20/0.53 ; 2 with value (4 12)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.059 seconds of real time
% 0.20/0.53 0.053103 seconds of user run time
% 0.20/0.53 0.006086 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 3,234,456 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:07:47
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------