TSTP Solution File: SET231-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET231-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:08:30 EDT 2022
% Result : Unsatisfiable 0.43s 0.59s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 9 ( 2 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(cartesian_product4,axiom,
( ~ member(X,cross_product(Y,Z))
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(prove_cross_product_property6_1,negated_conjecture,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property6_1) ).
cnf(prove_cross_product_property6_2,negated_conjecture,
ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property6_2) ).
cnf(144,plain,
member(not_subclass_element(cross_product(x,y),z),cross_product(x,y)),
inference('HYPERRESOLVE',[status(thm)],[prove_cross_product_property6_1,not_subclass_members1]) ).
cnf(258,plain,
~ member(not_subclass_element(cross_product(x,y),z),cross_product(X,Y)),
inference('UR-RESOLVE',[status(thm)],[cartesian_product4,prove_cross_product_property6_2]) ).
cnf(259,plain,
$false,
inference('REWRITE',[status(thm)],[144,258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET231-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 04:49:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T04:49:52
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T04:49:52
% 0.43/0.59
% 0.43/0.59
% 0.43/0.59 #||
% 0.43/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.59 % SZS output start Refutation
% See solution above
% 0.43/0.60 ||#
% 0.43/0.60
% 0.43/0.60 ; Summary of computation:
% 0.43/0.60 ; 424 formulas have been input or derived (from 104 formulas).
% 0.43/0.60 ; 259 (61%) were retained. Of these,
% 0.43/0.60 ; 17 ( 7%) were simplified or subsumed later,
% 0.43/0.60 ; 242 (93%) are still being kept.
% 0.43/0.60 ;
% 0.43/0.60 ; Run time in seconds excluding printing time:
% 0.43/0.60 ; 0.022 20% Read assertion file (1 call)
% 0.43/0.60 ; 0.001 1% Assert (114 calls)
% 0.43/0.60 ; 0.026 24% Process new row (378 calls)
% 0.43/0.60 ; 0.012 11% Resolution (206 calls)
% 0.43/0.60 ; 0.001 1% Paramodulation (103 calls)
% 0.43/0.60 ; 0.000 0% Factoring (3 calls)
% 0.43/0.60 ; 0.003 3% Condensing (170 calls)
% 0.43/0.60 ; 0.005 5% Forward subsumption (170 calls)
% 0.43/0.60 ; 0.002 2% Backward subsumption (154 calls)
% 0.43/0.60 ; 0.000 0% Clause clause subsumption (86 calls)
% 0.43/0.60 ; 0.002 2% Forward simplification (378 calls)
% 0.43/0.60 ; 0.001 1% Backward simplification (244 calls)
% 0.43/0.60 ; 0.004 4% Ordering (309 calls)
% 0.43/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.60 ; 0.000 0% Purity testing (1 call)
% 0.43/0.60 ; 0.030 28% Other
% 0.43/0.60 ; 0.109 Total
% 0.43/0.60 ; 0.111 Real time
% 0.43/0.60 ;
% 0.43/0.60 ; Term-hash-array has 651 terms in all.
% 0.43/0.60 ; Feature-vector-row-index has 154 entries (154 at peak, 154 added, 0 deleted).
% 0.43/0.60 ; Feature-vector-row-index has 895 nodes (895 at peak, 895 added, 0 deleted).
% 0.43/0.60 ; Retrieved 92 possibly forward subsuming rows in 170 calls.
% 0.43/0.60 ; Retrieved 18 possibly backward subsumed rows in 154 calls.
% 0.43/0.60 ; Path-index has 664 entries (665 at peak, 666 added, 2 deleted).
% 0.43/0.60 ; Path-index has 2,488 nodes (2,490 at peak, 2,491 added, 3 deleted).
% 0.43/0.60 ; Trie-index has 664 entries (665 at peak, 666 added, 2 deleted).
% 0.43/0.60 ; Trie-index has 2,341 nodes (2,343 at peak, 2,344 added, 3 deleted).
% 0.43/0.60 ; Retrieved 316 generalization terms in 1,097 calls.
% 0.43/0.60 ; Retrieved 115 instance terms in 89 calls.
% 0.43/0.60 ; Retrieved 5,304 unifiable terms in 748 calls.
% 0.43/0.60 ;
% 0.43/0.60 ; The agenda of rows to process has 2 entries:
% 0.43/0.60 ; 1 with value 31 1 with value 40
% 0.43/0.60 ; The agenda of input rows to give has 10 entries:
% 0.43/0.60 ; 1 with value 26 1 with value 31 2 with value 35
% 0.43/0.60 ; 1 with value 27 1 with value 33 1 with value 50
% 0.43/0.60 ; 2 with value 30 1 with value 34
% 0.43/0.60 ; The agenda of rows to give has 128 entries:
% 0.43/0.60 ; 2 with value (4 5) 8 with value (4 15) 4 with value (4 23)
% 0.43/0.60 ; 4 with value (4 7) 10 with value (4 16) 5 with value (4 24)
% 0.43/0.60 ; 9 with value (4 8) 5 with value (4 17) 5 with value (4 26)
% 0.43/0.60 ; 3 with value (4 9) 6 with value (4 18) 2 with value (4 28)
% 0.43/0.60 ; 6 with value (4 10) 12 with value (4 19) 3 with value (4 29)
% 0.43/0.60 ; 6 with value (4 11) 4 with value (4 20) 3 with value (4 30)
% 0.43/0.60 ; 4 with value (4 12) 3 with value (4 21) 1 with value (4 31)
% 0.43/0.60 ; 13 with value (4 13) 4 with value (4 22) 1 with value (4 34)
% 0.43/0.60 ; 5 with value (4 14)
% 0.43/0.60 Evaluation took:
% 0.43/0.60 0.111 seconds of real time
% 0.43/0.60 0.097032 seconds of user run time
% 0.43/0.60 0.013943 seconds of system run time
% 0.43/0.60 0 calls to %EVAL
% 0.43/0.60 0 page faults and
% 0.43/0.60 5,920,192 bytes consed.
% 0.43/0.60 :PROOF-FOUND
% 0.43/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T04:49:52
% 0.43/0.60 :PROOF-FOUND
% 0.43/0.60 *
%------------------------------------------------------------------------------