TSTP Solution File: SET653+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET653+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 05:11:19 EDT 2022
% Result : Theorem 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 12 RR)
% Number of literals : 31 ( 0 equ; 20 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| subset(domain_of(Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,relation_type(X,Z))
| ~ subset(domain_of(U),Y)
| ilf_type(U,relation_type(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
cnf(40,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
cnf(41,negated_conjecture,
ilf_type('SKOLEMAAAU13',relation_type('SKOLEMAAAU10','SKOLEMAAAU12')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_15) ).
cnf(42,negated_conjecture,
subset('SKOLEMAAAU10','SKOLEMAAAU11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_15) ).
cnf(43,negated_conjecture,
~ ilf_type('SKOLEMAAAU13',relation_type('SKOLEMAAAU11','SKOLEMAAAU12')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_15) ).
cnf(44,plain,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
inference('REWRITE',[status(thm)],[1,40]) ).
cnf(45,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| subset(domain_of(X),Y) ),
inference('REWRITE',[status(thm)],[2,40]) ).
cnf(47,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ subset(domain_of(X),U)
| ilf_type(X,relation_type(U,Z)) ),
inference('REWRITE',[status(thm)],[4,40]) ).
cnf(82,plain,
subset(domain_of('SKOLEMAAAU13'),'SKOLEMAAAU10'),
inference('HYPERRESOLVE',[status(thm)],[45,41]) ).
cnf(108,plain,
~ subset(domain_of('SKOLEMAAAU13'),'SKOLEMAAAU11'),
inference('UR-RESOLVE',[status(thm)],[47,41,43]) ).
cnf(113,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[44,82,42]),108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET653+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.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 23:04:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:04:06
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-10T23:04:06
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 #||
% 0.37/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.54 % SZS output start Refutation
% See solution above
% 0.37/0.54 ||#
% 0.37/0.54
% 0.37/0.54 ; Summary of computation:
% 0.37/0.54 ; 159 formulas have been input or derived (from 34 formulas).
% 0.37/0.54 ; 113 (71%) were retained. Of these,
% 0.37/0.54 ; 39 (35%) were simplified or subsumed later,
% 0.37/0.54 ; 74 (65%) are still being kept.
% 0.37/0.54 ;
% 0.37/0.54 ; Run time in seconds excluding printing time:
% 0.37/0.54 ; 0.008 15% Read assertion file (1 call)
% 0.37/0.54 ; 0.002 4% Assert (23 calls)
% 0.37/0.54 ; 0.007 13% Process new row (134 calls)
% 0.37/0.54 ; 0.000 0% Resolution (66 calls)
% 0.37/0.54 ; 0.000 0% Paramodulation (33 calls)
% 0.37/0.54 ; 0.000 0% Factoring (5 calls)
% 0.37/0.54 ; 0.002 4% Condensing (92 calls)
% 0.37/0.54 ; 0.003 6% Forward subsumption (92 calls)
% 0.37/0.54 ; 0.000 0% Backward subsumption (87 calls)
% 0.37/0.54 ; 0.001 2% Clause clause subsumption (34 calls)
% 0.37/0.54 ; 0.002 4% Forward simplification (134 calls)
% 0.37/0.54 ; 0.004 7% Backward simplification (113 calls)
% 0.37/0.54 ; 0.001 2% Ordering (75 calls)
% 0.37/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.37/0.54 ; 0.000 0% Purity testing (1 call)
% 0.37/0.54 ; 0.023 43% Other
% 0.37/0.54 ; 0.054 Total
% 0.37/0.54 ; 0.057 Real time
% 0.37/0.54 ;
% 0.37/0.54 ; Term-hash-array has 196 terms in all.
% 0.37/0.54 ; Feature-vector-row-index has 48 entries (48 at peak, 87 added, 39 deleted).
% 0.37/0.54 ; Feature-vector-row-index has 200 nodes (200 at peak, 375 added, 175 deleted).
% 0.37/0.54 ; Retrieved 28 possibly forward subsuming rows in 92 calls.
% 0.37/0.54 ; Retrieved 7 possibly backward subsumed rows in 87 calls.
% 0.37/0.54 ; Path-index has 165 entries (165 at peak, 244 added, 79 deleted).
% 0.37/0.54 ; Path-index has 398 nodes (398 at peak, 476 added, 78 deleted).
% 0.37/0.54 ; Trie-index has 165 entries (165 at peak, 244 added, 79 deleted).
% 0.37/0.54 ; Trie-index has 407 nodes (407 at peak, 567 added, 160 deleted).
% 0.37/0.54 ; Retrieved 73 generalization terms in 173 calls.
% 0.37/0.54 ; Retrieved 48 instance terms in 25 calls.
% 0.37/0.54 ; Retrieved 761 unifiable terms in 209 calls.
% 0.37/0.54 ;
% 0.37/0.54 ; The agenda of rows to process has 9 entries:
% 0.37/0.54 ; 3 with value 8 4 with value 15 1 with value 18
% 0.37/0.54 ; 1 with value 9
% 0.37/0.54 ; The agenda of rows to give has 40 entries:
% 0.37/0.54 ; 3 with value (4 7) 1 with value (4 15) 2 with value (4 23)
% 0.37/0.54 ; 1 with value (4 9) 2 with value (4 17) 1 with value (4 25)
% 0.37/0.54 ; 11 with value (4 10) 4 with value (4 18) 1 with value (4 26)
% 0.37/0.54 ; 2 with value (4 11) 1 with value (4 19) 2 with value (4 27)
% 0.37/0.54 ; 4 with value (4 12) 2 with value (4 21) 1 with value (4 30)
% 0.37/0.54 ; 2 with value (4 14)
% 0.37/0.54 Evaluation took:
% 0.37/0.54 0.058 seconds of real time
% 0.37/0.54 0.050558 seconds of user run time
% 0.37/0.54 0.006881 seconds of system run time
% 0.37/0.54 0 calls to %EVAL
% 0.37/0.54 0 page faults and
% 0.37/0.54 3,598,888 bytes consed.
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:04:06
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 *
%------------------------------------------------------------------------------