TSTP Solution File: SET252-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET252-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 05:08:37 EDT 2022
% Result : Unsatisfiable 38.11s 38.30s
% Output : Refutation 38.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 1 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(restriction1,axiom,
intersection(X,cross_product(Y,Z)) = restrict(X,Y,Z),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_restriction_property3_1,negated_conjecture,
~ subclass(restrict(x,y,z),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property3_1) ).
cnf(128,plain,
~ subclass(intersection(x,cross_product(y,z)),x),
inference('REWRITE',[status(thm)],[prove_restriction_property3_1,restriction1,theory(equality)]) ).
cnf(144,plain,
member(not_subclass_element(intersection(x,cross_product(y,z)),x),intersection(x,cross_product(y,z))),
inference('HYPERRESOLVE',[status(thm)],[128,not_subclass_members1]) ).
cnf(145,plain,
~ member(not_subclass_element(intersection(x,cross_product(y,z)),x),x),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,128]) ).
cnf(87432,plain,
~ member(not_subclass_element(intersection(x,cross_product(y,z)),x),intersection(x,X)),
inference('UR-RESOLVE',[status(thm)],[intersection1,145]) ).
cnf(87433,plain,
$false,
inference('REWRITE',[status(thm)],[144,87432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET252-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.16/0.37 % Computer : n027.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sat Jul 9 19:59:32 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.51 *
% 0.23/0.51 *
% 0.23/0.52 #<PACKAGE "SNARK-USER">
% 0.23/0.52 *
% 0.23/0.52 SNARK-TPTP-OPTIONS
% 0.23/0.52 *
% 0.23/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52 (USE-FACTORING :POS)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52 *
% 0.23/0.52 "."
% 0.23/0.52 *
% 0.23/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T19:59:32
% 0.23/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-09T19:59:32
% 38.11/38.30
% 38.11/38.30
% 38.11/38.30 #||
% 38.11/38.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.11/38.30 % SZS output start Refutation
% See solution above
% 38.11/38.30 ||#
% 38.11/38.30
% 38.11/38.30 ; Summary of computation:
% 38.11/38.30 ; 167189 formulas have been input or derived (from 1096 formulas).
% 38.11/38.30 ; 87433 (52%) were retained. Of these,
% 38.11/38.30 ; 389 ( 0%) were simplified or subsumed later,
% 38.11/38.30 ; 87044 (100%) are still being kept.
% 38.11/38.30 ;
% 38.11/38.30 ; Run time in seconds:
% 38.11/38.30 ; 0.021 0% Read assertion file (1 call)
% 38.11/38.30 ; 0.003 0% Assert (113 calls)
% 38.11/38.30 ; 8.290 22% Process new row (164,511 calls)
% 38.11/38.30 ; 21.911 58% Resolution (2,190 calls)
% 38.11/38.30 ; 0.075 0% Paramodulation (1,095 calls)
% 38.11/38.30 ; 0.001 0% Factoring (14 calls)
% 38.11/38.30 ; 0.044 0% Condensing (7,432 calls)
% 38.11/38.30 ; 1.536 4% Forward subsumption (7,432 calls)
% 38.11/38.30 ; 0.780 2% Backward subsumption (7,371 calls)
% 38.11/38.30 ; 0.104 0% Clause clause subsumption (40,239 calls)
% 38.11/38.30 ; 2.575 7% Forward simplification (164,505 calls)
% 38.11/38.30 ; 1.750 5% Backward simplification (87,417 calls)
% 38.11/38.30 ; 0.027 0% Ordering (21,211 calls)
% 38.11/38.30 ; 0.001 0% Sortal reasoning (32 calls)
% 38.11/38.30 ; 0.000 0% Purity testing (1 call)
% 38.11/38.30 ; 0.659 2% Other
% 38.11/38.30 ; 37.777 Total
% 38.11/38.30 ; 37.784 Real time
% 38.11/38.31 ;
% 38.11/38.31 ; Term-hash-array has 117,440 terms in all.
% 38.11/38.31 ; Feature-vector-row-index has 7,344 entries (7,344 at peak, 7,371 added, 27 deleted).
% 38.11/38.31 ; Feature-vector-row-index has 29,259 nodes (29,259 at peak, 29,382 added, 123 deleted).
% 38.11/38.31 ; Retrieved 62,155 possibly forward subsuming rows in 7,432 calls.
% 38.11/38.31 ; Retrieved 13,431 possibly backward subsumed rows in 7,371 calls.
% 38.11/38.31 ; Path-index has 117,004 entries (117,005 at peak, 117,504 added, 500 deleted).
% 38.11/38.31 ; Path-index has 14,452 nodes (14,454 at peak, 14,579 added, 127 deleted).
% 38.11/38.31 ; Trie-index has 117,004 entries (117,005 at peak, 117,504 added, 500 deleted).
% 38.11/38.31 ; Trie-index has 351,503 nodes (351,506 at peak, 352,667 added, 1,164 deleted).
% 38.11/38.31 ; Retrieved 116,552 generalization terms in 482,789 calls.
% 38.11/38.31 ; Retrieved 80,214 instance terms in 80,045 calls.
% 38.11/38.31 ; Retrieved 29,916,744 unifiable terms in 94,268 calls.
% 38.11/38.31 ;
% 38.11/38.31 ; The agenda of rows to process has 3 entries:
% 38.11/38.31 ; 1 with value 18 2 with value 20
% 38.11/38.31 ; The agenda of rows to give has 85975 entries:
% 38.11/38.31 ; 760 with value (4 14) 3578 with value (4 25) 4 with value (4 39)
% 38.11/38.31 ; 1067 with value (4 15) 686 with value (4 26) 1 with value (4 43)
% 38.11/38.31 ; 1923 with value (4 16) 17 with value (4 27) 1 with value (4 44)
% 38.11/38.31 ; 2633 with value (4 17) 12 with value (4 28) 1 with value (4 45)
% 38.11/38.31 ; 3290 with value (4 18) 37 with value (4 29) 4 with value (4 46)
% 38.11/38.31 ; 5712 with value (4 19) 32 with value (4 30) 2 with value (4 49)
% 38.11/38.31 ; 8170 with value (4 20) 6 with value (4 31) 1 with value (4 51)
% 38.11/38.31 ; 12910 with value (4 21) 30 with value (4 32) 1 with value (4 53)
% 38.11/38.31 ; 16277 with value (4 22) 15 with value (4 33) 1 with value (4 55)
% 38.11/38.31 ; 17566 with value (4 23) 11 with value (4 34) 1 with value (4 59)
% 38.11/38.31 ; 11223 with value (4 24) 2 with value (4 37) 1 with value (4 63)
% 38.11/38.31 Evaluation took:
% 38.11/38.31 37.791 seconds of real time
% 38.11/38.31 36.2871 seconds of user run time
% 38.11/38.31 1.497373 seconds of system run time
% 38.11/38.31 [Run times include 6.595 seconds GC run time.]
% 38.11/38.31 0 calls to %EVAL
% 38.11/38.31 0 page faults and
% 38.11/38.31 1,341,106,688 bytes consed.
% 38.11/38.31 :PROOF-FOUND
% 38.11/38.31 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:00:10
% 38.11/38.31 :PROOF-FOUND
% 38.11/38.31 *
%------------------------------------------------------------------------------