TSTP Solution File: SET642+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 05:11:13 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 22 ( 0 equ; 14 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 : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,relation_type(Y,Z))
| ~ subset(X,U)
| subset(X,cross_product(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ subset(X,cross_product(Y,Z))
| ilf_type(X,relation_type(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(36,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
cnf(37,negated_conjecture,
ilf_type('SKOLEMAAAU13',relation_type('SKOLEMAAAU11','SKOLEMAAAU12')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_4) ).
cnf(38,negated_conjecture,
subset('SKOLEMAAAU10','SKOLEMAAAU13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_4) ).
cnf(39,negated_conjecture,
~ ilf_type('SKOLEMAAAU10',relation_type('SKOLEMAAAU11','SKOLEMAAAU12')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_4) ).
cnf(40,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ subset(U,X)
| subset(U,cross_product(Y,Z)) ),
inference('REWRITE',[status(thm)],[1,36]) ).
cnf(41,plain,
( ~ subset(X,cross_product(Y,Z))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[2,36]) ).
cnf(80,plain,
~ subset('SKOLEMAAAU10',cross_product('SKOLEMAAAU11','SKOLEMAAAU12')),
inference('UR-RESOLVE',[status(thm)],[41,39]) ).
cnf(98,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,37,38]),80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 09:30:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T09:30:40
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-10T09:30:40
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 126 formulas have been input or derived (from 31 formulas).
% 0.19/0.51 ; 98 (78%) were retained. Of these,
% 0.19/0.51 ; 35 (36%) were simplified or subsumed later,
% 0.19/0.51 ; 63 (64%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.007 14% Read assertion file (1 call)
% 0.19/0.51 ; 0.002 4% Assert (20 calls)
% 0.19/0.51 ; 0.010 20% Process new row (113 calls)
% 0.19/0.51 ; 0.000 0% Resolution (60 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (30 calls)
% 0.19/0.51 ; 0.000 0% Factoring (5 calls)
% 0.19/0.51 ; 0.001 2% Condensing (80 calls)
% 0.19/0.51 ; 0.003 6% Forward subsumption (80 calls)
% 0.19/0.51 ; 0.001 2% Backward subsumption (77 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (27 calls)
% 0.19/0.51 ; 0.002 4% Forward simplification (113 calls)
% 0.19/0.51 ; 0.002 4% Backward simplification (98 calls)
% 0.19/0.51 ; 0.000 0% Ordering (54 calls)
% 0.19/0.51 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.020 41% Other
% 0.19/0.51 ; 0.049 Total
% 0.19/0.51 ; 0.051 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 152 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 42 entries (42 at peak, 77 added, 35 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 170 nodes (170 at peak, 337 added, 167 deleted).
% 0.19/0.51 ; Retrieved 24 possibly forward subsuming rows in 80 calls.
% 0.19/0.51 ; Retrieved 5 possibly backward subsumed rows in 77 calls.
% 0.19/0.51 ; Path-index has 131 entries (131 at peak, 198 added, 67 deleted).
% 0.19/0.51 ; Path-index has 338 nodes (338 at peak, 410 added, 72 deleted).
% 0.19/0.51 ; Trie-index has 131 entries (131 at peak, 198 added, 67 deleted).
% 0.19/0.51 ; Trie-index has 345 nodes (345 at peak, 490 added, 145 deleted).
% 0.19/0.51 ; Retrieved 56 generalization terms in 144 calls.
% 0.19/0.51 ; Retrieved 39 instance terms in 20 calls.
% 0.19/0.51 ; Retrieved 514 unifiable terms in 165 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 6 entries:
% 0.19/0.51 ; 3 with value 8 1 with value 15 1 with value 18
% 0.19/0.51 ; 1 with value 10
% 0.19/0.51 ; The agenda of rows to give has 32 entries:
% 0.19/0.51 ; 1 with value (4 7) 2 with value (4 12) 2 with value (4 23)
% 0.19/0.51 ; 1 with value (4 8) 2 with value (4 14) 1 with value (4 26)
% 0.19/0.51 ; 1 with value (4 9) 2 with value (4 17) 2 with value (4 27)
% 0.19/0.51 ; 9 with value (4 10) 4 with value (4 18) 1 with value (4 30)
% 0.19/0.51 ; 2 with value (4 11) 2 with value (4 21)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.051 seconds of real time
% 0.19/0.51 0.045144 seconds of user run time
% 0.19/0.51 0.006002 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,144,248 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T09:30:40
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------