TSTP Solution File: SET235-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET235-6 : 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 05:08:31 EDT 2022
% Result : Unsatisfiable 1.48s 1.65s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 9 RR)
% Number of literals : 14 ( 2 equ; 5 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 : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/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/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_property10_1,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_1) ).
cnf(prove_cross_product_property10_2,negated_conjecture,
~ member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_2) ).
cnf(prove_cross_product_property10_3,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_3) ).
cnf(145,plain,
member(not_subclass_element(x,y),x),
inference('HYPERRESOLVE',[status(thm)],[prove_cross_product_property10_3,not_subclass_members1]) ).
cnf(414,plain,
member(not_subclass_element(x,y),cross_product(universal_class,universal_class)),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,145,prove_cross_product_property10_1]) ).
cnf(6155,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_product4,414]) ).
cnf(6156,plain,
$false,
inference('REWRITE',[status(thm)],[prove_cross_product_property10_2,145,6155,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 03:24:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:24:40
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T03:24:40
% 1.48/1.65
% 1.48/1.65
% 1.48/1.65 #||
% 1.48/1.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/1.65 % SZS output start Refutation
% See solution above
% 1.48/1.65 ||#
% 1.48/1.65
% 1.48/1.65 ; Summary of computation:
% 1.48/1.65 ; 12105 formulas have been input or derived (from 285 formulas).
% 1.48/1.65 ; 6156 (51%) were retained. Of these,
% 1.48/1.65 ; 389 ( 6%) were simplified or subsumed later,
% 1.48/1.65 ; 5767 (94%) are still being kept.
% 1.48/1.65 ;
% 1.48/1.65 ; Run time in seconds excluding printing time:
% 1.48/1.65 ; 0.022 2% Read assertion file (1 call)
% 1.48/1.65 ; 0.003 0% Assert (115 calls)
% 1.48/1.65 ; 0.414 35% Process new row (11,566 calls)
% 1.48/1.65 ; 0.359 31% Resolution (568 calls)
% 1.48/1.65 ; 0.012 1% Paramodulation (284 calls)
% 1.48/1.65 ; 0.000 0% Factoring (5 calls)
% 1.48/1.65 ; 0.008 1% Condensing (793 calls)
% 1.48/1.65 ; 0.033 3% Forward subsumption (793 calls)
% 1.48/1.65 ; 0.024 2% Backward subsumption (762 calls)
% 1.48/1.65 ; 0.002 0% Clause clause subsumption (1,503 calls)
% 1.48/1.65 ; 0.165 14% Forward simplification (11,560 calls)
% 1.48/1.65 ; 0.068 6% Backward simplification (6,141 calls)
% 1.48/1.65 ; 0.005 0% Ordering (1,937 calls)
% 1.48/1.65 ; 0.000 0% Sortal reasoning (32 calls)
% 1.48/1.65 ; 0.000 0% Purity testing (1 call)
% 1.48/1.65 ; 0.057 5% Other
% 1.48/1.65 ; 1.172 Total
% 1.48/1.65 ; 1.173 Real time
% 1.48/1.65 ;
% 1.48/1.65 ; Term-hash-array has 9,810 terms in all.
% 1.48/1.65 ; Feature-vector-row-index has 737 entries (737 at peak, 762 added, 25 deleted).
% 1.48/1.65 ; Feature-vector-row-index has 3,740 nodes (3,740 at peak, 3,852 added, 112 deleted).
% 1.48/1.65 ; Retrieved 1,448 possibly forward subsuming rows in 793 calls.
% 1.48/1.65 ; Retrieved 484 possibly backward subsumed rows in 762 calls.
% 1.48/1.65 ; Path-index has 9,362 entries (9,372 at peak, 9,869 added, 507 deleted).
% 1.48/1.65 ; Path-index has 5,923 nodes (5,943 at peak, 6,062 added, 139 deleted).
% 1.48/1.65 ; Trie-index has 9,362 entries (9,372 at peak, 9,869 added, 507 deleted).
% 1.48/1.65 ; Trie-index has 27,707 nodes (27,766 at peak, 28,894 added, 1,187 deleted).
% 1.48/1.65 ; Retrieved 7,768 generalization terms in 27,780 calls.
% 1.48/1.65 ; Retrieved 5,530 instance terms in 5,378 calls.
% 1.48/1.65 ; Retrieved 578,989 unifiable terms in 9,315 calls.
% 1.48/1.65 ;
% 1.48/1.66 ; The agenda of backward simplifiable rows to process has 6 entries:
% 1.48/1.66 ; 6 with value 0
% 1.48/1.66 ; The agenda of rows to process has 122 entries:
% 1.48/1.66 ; 59 with value 20 52 with value 21 11 with value 22
% 1.48/1.66 ; The agenda of rows to give has 5504 entries:
% 1.48/1.66 ; 1 with value (4 10) 70 with value (4 22) 3 with value (4 34)
% 1.48/1.66 ; 90 with value (4 11) 15 with value (4 23) 2 with value (4 37)
% 1.48/1.66 ; 141 with value (4 12) 11 with value (4 24) 1 with value (4 43)
% 1.48/1.66 ; 195 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 1.48/1.66 ; 270 with value (4 14) 10 with value (4 26) 1 with value (4 45)
% 1.48/1.66 ; 212 with value (4 15) 11 with value (4 27) 4 with value (4 46)
% 1.48/1.66 ; 531 with value (4 16) 9 with value (4 28) 2 with value (4 49)
% 1.48/1.66 ; 627 with value (4 17) 12 with value (4 29) 1 with value (4 51)
% 1.48/1.66 ; 1146 with value (4 18) 6 with value (4 30) 1 with value (4 53)
% 1.48/1.66 ; 1017 with value (4 19) 2 with value (4 31) 1 with value (4 55)
% 1.48/1.66 ; 777 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.48/1.66 ; 325 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.48/1.66 Evaluation took:
% 1.48/1.66 1.174 seconds of real time
% 1.48/1.66 1.084587 seconds of user run time
% 1.48/1.66 0.089979 seconds of system run time
% 1.48/1.66 [Run times include 0.136 seconds GC run time.]
% 1.48/1.66 0 calls to %EVAL
% 1.48/1.66 0 page faults and
% 1.48/1.66 73,247,144 bytes consed.
% 1.48/1.66 :PROOF-FOUND
% 1.48/1.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:24:41
% 1.48/1.66 :PROOF-FOUND
% 1.48/1.66 *
%------------------------------------------------------------------------------