TSTP Solution File: SET643+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:11:14 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,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/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(20,axiom,
( ~ ilf_type(X,set_type)
| subset(X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
cnf(41,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
cnf(42,negated_conjecture,
~ ilf_type(cross_product('SKOLEMAAAV12','SKOLEMAAAV13'),relation_type('SKOLEMAAAV12','SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_5) ).
cnf(43,plain,
( ~ subset(X,cross_product(Y,Z))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[1,41]) ).
cnf(57,plain,
subset(X,X),
inference('REWRITE',[status(thm)],[20,41]) ).
cnf(83,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[43,57,42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 04:08:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T04:08:07
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T04:08:07
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 104 formulas have been input or derived (from 22 formulas).
% 0.18/0.51 ; 83 (80%) were retained. Of these,
% 0.18/0.51 ; 40 (48%) were simplified or subsumed later,
% 0.18/0.51 ; 43 (52%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds:
% 0.18/0.51 ; 0.006 12% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (20 calls)
% 0.18/0.51 ; 0.009 19% Process new row (99 calls)
% 0.18/0.51 ; 0.002 4% Resolution (42 calls)
% 0.18/0.51 ; 0.000 0% Paramodulation (21 calls)
% 0.18/0.51 ; 0.000 0% Factoring (5 calls)
% 0.18/0.51 ; 0.001 2% Condensing (75 calls)
% 0.18/0.51 ; 0.001 2% Forward subsumption (75 calls)
% 0.18/0.51 ; 0.001 2% Backward subsumption (72 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.18/0.51 ; 0.002 4% Forward simplification (99 calls)
% 0.18/0.51 ; 0.002 4% Backward simplification (83 calls)
% 0.18/0.51 ; 0.000 0% Ordering (23 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.023 48% Other
% 0.18/0.51 ; 0.048 Total
% 0.18/0.51 ; 0.049 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 119 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 32 entries (40 at peak, 72 added, 40 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 101 nodes (190 at peak, 290 added, 189 deleted).
% 0.18/0.51 ; Retrieved 7 possibly forward subsuming rows in 75 calls.
% 0.18/0.51 ; Retrieved 4 possibly backward subsumed rows in 72 calls.
% 0.18/0.51 ; Path-index has 83 entries (83 at peak, 163 added, 80 deleted).
% 0.18/0.51 ; Path-index has 262 nodes (262 at peak, 366 added, 104 deleted).
% 0.18/0.51 ; Trie-index has 83 entries (83 at peak, 163 added, 80 deleted).
% 0.18/0.51 ; Trie-index has 206 nodes (206 at peak, 400 added, 194 deleted).
% 0.18/0.51 ; Retrieved 56 generalization terms in 103 calls.
% 0.18/0.51 ; Retrieved 29 instance terms in 10 calls.
% 0.18/0.51 ; Retrieved 284 unifiable terms in 102 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 4 entries:
% 0.18/0.51 ; 3 with value 10 1 with value 18
% 0.18/0.51 ; The agenda of input rows to give has 10 entries:
% 0.18/0.51 ; 3 with value 14 2 with value 16 1 with value 21
% 0.18/0.51 ; 2 with value 15 1 with value 17 1 with value 22
% 0.18/0.51 ; The agenda of rows to give has 11 entries:
% 0.18/0.51 ; 1 with value (4 7) 2 with value (4 11) 1 with value (4 18)
% 0.18/0.51 ; 1 with value (4 9) 1 with value (4 14) 1 with value (4 21)
% 0.18/0.51 ; 2 with value (4 10) 2 with value (4 17)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.049 seconds of real time
% 0.18/0.51 0.045672 seconds of user run time
% 0.18/0.51 0.003227 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 2,722,432 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T04:08:07
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------