TSTP Solution File: SET241-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET241-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 05:08:34 EDT 2022
% Result : Unsatisfiable 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 1 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(restriction1,axiom,
intersection(X,cross_product(Y,Z)) = restrict(X,Y,Z),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_restriction_alternate_defn4_1,negated_conjecture,
member(ordered_pair(u,v),restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn4_1) ).
cnf(128,plain,
member(ordered_pair(u,v),intersection(xr,cross_product(x,y))),
inference('REWRITE',[status(thm)],[prove_restriction_alternate_defn4_1,restriction1,theory(equality)]) ).
cnf(prove_restriction_alternate_defn4_2,negated_conjecture,
~ member(v,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn4_2) ).
cnf(189,plain,
member(ordered_pair(u,v),cross_product(x,y)),
inference('HYPERRESOLVE',[status(thm)],[intersection2,128]) ).
cnf(193,plain,
~ member(ordered_pair(X,v),cross_product(Y,y)),
inference('UR-RESOLVE',[status(thm)],[cartesian_product2,prove_restriction_alternate_defn4_2]) ).
cnf(194,plain,
$false,
inference('REWRITE',[status(thm)],[189,193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET241-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 10:45:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T10:45:02
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-11T10:45:02
% 0.39/0.56
% 0.39/0.56
% 0.39/0.56 #||
% 0.39/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.56 % SZS output start Refutation
% See solution above
% 0.39/0.56 ||#
% 0.39/0.56
% 0.39/0.56 ; Summary of computation:
% 0.39/0.56 ; 258 formulas have been input or derived (from 56 formulas).
% 0.39/0.56 ; 194 (75%) were retained. Of these,
% 0.39/0.56 ; 18 ( 9%) were simplified or subsumed later,
% 0.39/0.56 ; 176 (91%) are still being kept.
% 0.39/0.56 ;
% 0.39/0.56 ; Run time in seconds excluding printing time:
% 0.39/0.56 ; 0.021 24% Read assertion file (1 call)
% 0.39/0.56 ; 0.003 3% Assert (114 calls)
% 0.39/0.56 ; 0.020 23% Process new row (224 calls)
% 0.39/0.56 ; 0.005 6% Resolution (110 calls)
% 0.39/0.56 ; 0.000 0% Paramodulation (55 calls)
% 0.39/0.56 ; 0.000 0% Factoring (2 calls)
% 0.39/0.56 ; 0.001 1% Condensing (121 calls)
% 0.39/0.56 ; 0.004 5% Forward subsumption (121 calls)
% 0.39/0.56 ; 0.001 1% Backward subsumption (110 calls)
% 0.39/0.56 ; 0.000 0% Clause clause subsumption (57 calls)
% 0.39/0.56 ; 0.004 5% Forward simplification (224 calls)
% 0.39/0.56 ; 0.002 2% Backward simplification (178 calls)
% 0.39/0.56 ; 0.000 0% Ordering (78 calls)
% 0.39/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.56 ; 0.000 0% Purity testing (1 call)
% 0.39/0.56 ; 0.027 31% Other
% 0.39/0.56 ; 0.088 Total
% 0.39/0.56 ; 0.092 Real time
% 0.39/0.56 ;
% 0.39/0.56 ; Term-hash-array has 447 terms in all.
% 0.39/0.56 ; Feature-vector-row-index has 110 entries (110 at peak, 110 added, 0 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 587 nodes (587 at peak, 587 added, 0 deleted).
% 0.39/0.56 ; Retrieved 65 possibly forward subsuming rows in 121 calls.
% 0.39/0.56 ; Retrieved 10 possibly backward subsumed rows in 110 calls.
% 0.39/0.56 ; Path-index has 462 entries (463 at peak, 464 added, 2 deleted).
% 0.39/0.56 ; Path-index has 1,515 nodes (1,516 at peak, 1,517 added, 2 deleted).
% 0.39/0.56 ; Trie-index has 462 entries (463 at peak, 464 added, 2 deleted).
% 0.39/0.56 ; Trie-index has 1,394 nodes (1,397 at peak, 1,398 added, 4 deleted).
% 0.39/0.56 ; Retrieved 110 generalization terms in 481 calls.
% 0.39/0.57 ; Retrieved 92 instance terms in 67 calls.
% 0.39/0.57 ; Retrieved 2,048 unifiable terms in 364 calls.
% 0.39/0.57 ;
% 0.39/0.57 ; The agenda of input rows to give has 58 entries:
% 0.39/0.57 ; 9 with value 13 4 with value 20 2 with value 30
% 0.39/0.57 ; 7 with value 14 3 with value 21 1 with value 31
% 0.39/0.57 ; 9 with value 15 4 with value 22 1 with value 33
% 0.39/0.57 ; 3 with value 16 1 with value 24 1 with value 34
% 0.39/0.57 ; 5 with value 17 1 with value 26 2 with value 35
% 0.39/0.57 ; 2 with value 18 1 with value 27 1 with value 50
% 0.39/0.57 ; 1 with value 19
% 0.39/0.57 ; The agenda of rows to give has 62 entries:
% 0.39/0.57 ; 2 with value (4 5) 7 with value (4 13) 3 with value (4 20)
% 0.39/0.57 ; 4 with value (4 7) 4 with value (4 15) 1 with value (4 22)
% 0.39/0.57 ; 9 with value (4 8) 6 with value (4 16) 1 with value (4 24)
% 0.39/0.57 ; 2 with value (4 9) 3 with value (4 17) 1 with value (4 25)
% 0.39/0.57 ; 5 with value (4 10) 1 with value (4 18) 2 with value (4 28)
% 0.39/0.57 ; 2 with value (4 11) 5 with value (4 19) 2 with value (4 30)
% 0.39/0.57 ; 2 with value (4 12)
% 0.39/0.57 Evaluation took:
% 0.39/0.57 0.093 seconds of real time
% 0.39/0.57 0.080166 seconds of user run time
% 0.39/0.57 0.009919 seconds of system run time
% 0.39/0.57 0 calls to %EVAL
% 0.39/0.57 0 page faults and
% 0.39/0.57 4,626,992 bytes consed.
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T10:45:02
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 *
%------------------------------------------------------------------------------