TSTP Solution File: SET236-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET236-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 05:08:32 EDT 2022
% Result : Unsatisfiable 1.32s 1.51s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 1 nHn; 11 RR)
% Number of literals : 17 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 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 : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
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(cartesian_product4,axiom,
( ~ member(X,cross_product(Y,Z))
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(prove_cross_product_property11_1,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property11_1) ).
cnf(prove_cross_product_property11_2,negated_conjecture,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property11_2) ).
cnf(prove_cross_product_property11_3,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property11_3) ).
cnf(145,plain,
member(not_subclass_element(x,y),x),
inference('HYPERRESOLVE',[status(thm)],[prove_cross_product_property11_3,not_subclass_members1]) ).
cnf(146,plain,
~ member(not_subclass_element(x,y),y),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_cross_product_property11_3]) ).
cnf(429,plain,
member(not_subclass_element(x,y),cross_product(universal_class,universal_class)),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,145,prove_cross_product_property11_1]) ).
cnf(6142,plain,
ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))) = not_subclass_element(x,y),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product4,429]) ).
cnf(6143,plain,
$false,
inference('REWRITE',[status(thm)],[prove_cross_product_property11_2,146,6142,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET236-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 10:07:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:07:55
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T10:07:55
% 1.32/1.51
% 1.32/1.51
% 1.32/1.51 #||
% 1.32/1.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.51 % SZS output start Refutation
% See solution above
% 1.32/1.51 ||#
% 1.32/1.51
% 1.32/1.51 ; Summary of computation:
% 1.32/1.51 ; 12226 formulas have been input or derived (from 283 formulas).
% 1.32/1.51 ; 6143 (50%) were retained. Of these,
% 1.32/1.51 ; 528 ( 9%) were simplified or subsumed later,
% 1.32/1.51 ; 5615 (91%) are still being kept.
% 1.32/1.51 ;
% 1.32/1.51 ; Run time in seconds excluding printing time:
% 1.32/1.51 ; 0.028 3% Read assertion file (1 call)
% 1.32/1.51 ; 0.005 0% Assert (115 calls)
% 1.32/1.51 ; 0.419 40% Process new row (11,555 calls)
% 1.32/1.51 ; 0.272 26% Resolution (564 calls)
% 1.32/1.51 ; 0.005 0% Paramodulation (282 calls)
% 1.32/1.51 ; 0.000 0% Factoring (5 calls)
% 1.32/1.51 ; 0.010 1% Condensing (790 calls)
% 1.32/1.51 ; 0.023 2% Forward subsumption (790 calls)
% 1.32/1.51 ; 0.024 2% Backward subsumption (759 calls)
% 1.32/1.51 ; 0.003 0% Clause clause subsumption (1,507 calls)
% 1.32/1.51 ; 0.122 12% Forward simplification (11,549 calls)
% 1.32/1.51 ; 0.073 7% Backward simplification (6,128 calls)
% 1.32/1.51 ; 0.004 0% Ordering (1,945 calls)
% 1.32/1.51 ; 0.000 0% Sortal reasoning (32 calls)
% 1.32/1.51 ; 0.000 0% Purity testing (1 call)
% 1.32/1.51 ; 0.058 6% Other
% 1.32/1.51 ; 1.046 Total
% 1.32/1.51 ; 1.049 Real time
% 1.32/1.51 ;
% 1.32/1.51 ; Term-hash-array has 9,831 terms in all.
% 1.32/1.51 ; Feature-vector-row-index has 727 entries (734 at peak, 759 added, 32 deleted).
% 1.32/1.51 ; Feature-vector-row-index has 3,694 nodes (3,757 at peak, 3,869 added, 175 deleted).
% 1.32/1.51 ; Retrieved 1,456 possibly forward subsuming rows in 790 calls.
% 1.32/1.51 ; Retrieved 484 possibly backward subsumed rows in 759 calls.
% 1.32/1.51 ; Path-index has 9,115 entries (9,377 at peak, 9,894 added, 779 deleted).
% 1.32/1.51 ; Path-index has 5,905 nodes (5,925 at peak, 6,045 added, 140 deleted).
% 1.32/1.51 ; Trie-index has 9,115 entries (9,377 at peak, 9,894 added, 779 deleted).
% 1.32/1.51 ; Trie-index has 27,018 nodes (28,291 at peak, 29,457 added, 2,439 deleted).
% 1.32/1.51 ; Retrieved 7,791 generalization terms in 28,162 calls.
% 1.32/1.51 ; Retrieved 5,520 instance terms in 5,368 calls.
% 1.32/1.51 ; Retrieved 576,845 unifiable terms in 9,266 calls.
% 1.32/1.51 ;
% 1.32/1.51 ; The agenda of backward simplifiable rows to process has 134 entries:
% 1.32/1.51 ; 134 with value 0
% 1.32/1.51 ; The agenda of rows to process has 124 entries:
% 1.32/1.51 ; 57 with value 20 11 with value 22 4 with value 27
% 1.32/1.51 ; 52 with value 21
% 1.32/1.51 ; The agenda of rows to give has 5356 entries:
% 1.32/1.51 ; 1 with value (4 10) 70 with value (4 22) 3 with value (4 34)
% 1.32/1.51 ; 91 with value (4 11) 14 with value (4 23) 2 with value (4 37)
% 1.32/1.51 ; 144 with value (4 12) 11 with value (4 24) 1 with value (4 43)
% 1.32/1.51 ; 190 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 1.32/1.51 ; 261 with value (4 14) 10 with value (4 26) 1 with value (4 45)
% 1.32/1.51 ; 218 with value (4 15) 10 with value (4 27) 4 with value (4 46)
% 1.32/1.51 ; 517 with value (4 16) 9 with value (4 28) 2 with value (4 49)
% 1.32/1.51 ; 613 with value (4 17) 12 with value (4 29) 1 with value (4 51)
% 1.32/1.51 ; 1095 with value (4 18) 6 with value (4 30) 1 with value (4 53)
% 1.32/1.51 ; 988 with value (4 19) 2 with value (4 31) 1 with value (4 55)
% 1.32/1.51 ; 751 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.32/1.51 ; 317 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.32/1.51 Evaluation took:
% 1.32/1.51 1.05 seconds of real time
% 1.32/1.51 0.967252 seconds of user run time
% 1.32/1.51 0.081838 seconds of system run time
% 1.32/1.51 [Run times include 0.114 seconds GC run time.]
% 1.32/1.51 0 calls to %EVAL
% 1.32/1.51 0 page faults and
% 1.32/1.51 74,639,560 bytes consed.
% 1.32/1.51 :PROOF-FOUND
% 1.32/1.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:07:56
% 1.32/1.51 :PROOF-FOUND
% 1.32/1.51 *
%------------------------------------------------------------------------------