TSTP Solution File: SET234-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET234-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:08:31 EDT 2022
% Result : Unsatisfiable 6.97s 7.18s
% Output : Refutation 6.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 8 RR)
% Number of literals : 12 ( 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 ( 2 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(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
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_property9_1,negated_conjecture,
member(ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property9_1) ).
cnf(prove_cross_product_property9_2,negated_conjecture,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property9_2) ).
cnf(144,plain,
member(not_subclass_element(cross_product(x,y),z),cross_product(x,y)),
inference('HYPERRESOLVE',[status(thm)],[prove_cross_product_property9_2,not_subclass_members1]) ).
cnf(145,plain,
~ member(not_subclass_element(cross_product(x,y),z),z),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_cross_product_property9_2]) ).
cnf(28849,plain,
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),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product4,144]) ).
cnf(28850,plain,
$false,
inference('REWRITE',[status(thm)],[prove_cross_product_property9_1,145,28849,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET234-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 07:15:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-07-11T07:15:30
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T07:15:30
% 6.97/7.18
% 6.97/7.18
% 6.97/7.18 #||
% 6.97/7.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.97/7.18 % SZS output start Refutation
% See solution above
% 6.97/7.18 ||#
% 6.97/7.18
% 6.97/7.18 ; Summary of computation:
% 6.97/7.18 ; 55842 formulas have been input or derived (from 621 formulas).
% 6.97/7.18 ; 28850 (52%) were retained. Of these,
% 6.97/7.18 ; 702 ( 2%) were simplified or subsumed later,
% 6.97/7.18 ; 28148 (98%) are still being kept.
% 6.97/7.18 ;
% 6.97/7.18 ; Run time in seconds:
% 6.97/7.18 ; 0.021 0% Read assertion file (1 call)
% 6.97/7.18 ; 0.004 0% Assert (114 calls)
% 6.97/7.18 ; 2.027 30% Process new row (54,308 calls)
% 6.97/7.18 ; 2.693 40% Resolution (1,240 calls)
% 6.97/7.18 ; 0.016 0% Paramodulation (620 calls)
% 6.97/7.18 ; 0.000 0% Factoring (9 calls)
% 6.97/7.18 ; 0.033 0% Condensing (2,744 calls)
% 6.97/7.18 ; 0.332 5% Forward subsumption (2,744 calls)
% 6.97/7.18 ; 0.425 6% Backward subsumption (2,701 calls)
% 6.97/7.18 ; 0.016 0% Clause clause subsumption (10,423 calls)
% 6.97/7.18 ; 0.572 9% Forward simplification (54,302 calls)
% 6.97/7.18 ; 0.344 5% Backward simplification (28,835 calls)
% 6.97/7.18 ; 0.012 0% Ordering (7,697 calls)
% 6.97/7.18 ; 0.000 0% Sortal reasoning (32 calls)
% 6.97/7.18 ; 0.001 0% Purity testing (1 call)
% 6.97/7.18 ; 0.214 3% Other
% 6.97/7.18 ; 6.710 Total
% 6.97/7.18 ; 6.711 Real time
% 6.97/7.18 ;
% 6.97/7.18 ; Term-hash-array has 39,864 terms in all.
% 6.97/7.18 ; Feature-vector-row-index has 2,659 entries (2,674 at peak, 2,701 added, 42 deleted).
% 6.97/7.18 ; Feature-vector-row-index has 11,596 nodes (11,772 at peak, 11,895 added, 299 deleted).
% 6.97/7.18 ; Retrieved 13,508 possibly forward subsuming rows in 2,744 calls.
% 6.97/7.18 ; Retrieved 3,328 possibly backward subsumed rows in 2,701 calls.
% 6.97/7.18 ; Path-index has 38,975 entries (39,425 at peak, 39,932 added, 957 deleted).
% 6.97/7.18 ; Path-index has 9,329 nodes (9,359 at peak, 9,497 added, 168 deleted).
% 6.97/7.18 ; Trie-index has 38,975 entries (39,425 at peak, 39,932 added, 957 deleted).
% 6.97/7.18 ; Trie-index has 107,960 nodes (110,771 at peak, 111,951 added, 3,991 deleted).
% 6.97/7.18 ; Retrieved 36,576 generalization terms in 143,167 calls.
% 6.97/7.18 ; Retrieved 26,287 instance terms in 26,133 calls.
% 6.97/7.18 ; Retrieved 5,667,549 unifiable terms in 34,717 calls.
% 6.97/7.18 ;
% 6.97/7.18 ; The agenda of backward simplifiable rows to process has 314 entries:
% 6.97/7.18 ; 314 with value 0
% 6.97/7.18 ; The agenda of rows to process has 4 entries:
% 6.97/7.18 ; 4 with value 33
% 6.97/7.18 ; The agenda of rows to give has 27551 entries:
% 6.97/7.18 ; 1 with value (4 12) 394 with value (4 24) 2 with value (4 37)
% 6.97/7.18 ; 365 with value (4 13) 60 with value (4 25) 1 with value (4 43)
% 6.97/7.18 ; 538 with value (4 14) 14 with value (4 26) 1 with value (4 44)
% 6.97/7.18 ; 824 with value (4 15) 16 with value (4 27) 1 with value (4 45)
% 6.97/7.18 ; 1061 with value (4 16) 12 with value (4 28) 4 with value (4 46)
% 6.97/7.18 ; 1335 with value (4 17) 23 with value (4 29) 2 with value (4 49)
% 6.97/7.18 ; 2455 with value (4 18) 16 with value (4 30) 1 with value (4 51)
% 6.97/7.18 ; 3230 with value (4 19) 4 with value (4 31) 1 with value (4 53)
% 6.97/7.18 ; 5142 with value (4 20) 7 with value (4 32) 1 with value (4 55)
% 6.97/7.18 ; 5488 with value (4 21) 2 with value (4 33) 1 with value (4 59)
% 6.97/7.18 ; 4771 with value (4 22) 3 with value (4 34) 1 with value (4 63)
% 6.97/7.18 ; 1774 with value (4 23)
% 6.97/7.18 Evaluation took:
% 6.97/7.18 6.713 seconds of real time
% 6.97/7.18 6.268178 seconds of user run time
% 6.97/7.18 0.445125 seconds of system run time
% 6.97/7.18 [Run times include 1.22 seconds GC run time.]
% 6.97/7.18 0 calls to %EVAL
% 6.97/7.18 0 page faults and
% 6.97/7.18 378,659,648 bytes consed.
% 6.97/7.18 :PROOF-FOUND
% 6.97/7.18 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T07:15:36
% 6.97/7.18 :PROOF-FOUND
% 6.97/7.18 *
%------------------------------------------------------------------------------