TSTP Solution File: SET125-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET125-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 05:07:41 EDT 2022
% Result : Unsatisfiable 0.43s 0.59s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 12 unt; 1 nHn; 11 RR)
% Number of literals : 22 ( 3 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 3 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(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(definition_of_set_builder,axiom,
union(singleton(X),Y) = set_builder(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).
cnf(104,plain,
complement(intersection(complement(singleton(X)),complement(Y))) = set_builder(X,Y),
inference('REWRITE',[status(thm)],[definition_of_set_builder,union,theory(equality)]) ).
cnf(prove_set_builder_alternate_defn3_1,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn3_1) ).
cnf(prove_set_builder_alternate_defn3_2,negated_conjecture,
~ member(x,set_builder(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn3_2) ).
cnf(107,plain,
~ member(x,complement(intersection(complement(singleton(y)),complement(z)))),
inference('REWRITE',[status(thm)],[prove_set_builder_alternate_defn3_2,104,theory(equality)]) ).
cnf(112,plain,
~ member(x,complement(z)),
inference('UR-RESOLVE',[status(thm)],[complement1,prove_set_builder_alternate_defn3_1]) ).
cnf(133,plain,
member(x,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_set_builder_alternate_defn3_1]) ).
cnf(285,plain,
member(x,intersection(complement(singleton(y)),complement(z))),
inference('UR-RESOLVE',[status(thm)],[complement2,133,107]) ).
cnf(346,plain,
~ member(x,intersection(X,complement(z))),
inference('UR-RESOLVE',[status(thm)],[intersection2,112]) ).
cnf(347,plain,
$false,
inference('REWRITE',[status(thm)],[285,346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET125-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 23:47:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:47:27
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T23:47:27
% 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
% 0.43/0.59 ||#
% 0.43/0.59
% 0.43/0.59 ; Summary of computation:
% 0.43/0.59 ; 625 formulas have been input or derived (from 101 formulas).
% 0.43/0.59 ; 347 (56%) were retained. Of these,
% 0.43/0.59 ; 16 ( 5%) were simplified or subsumed later,
% 0.43/0.59 ; 331 (95%) are still being kept.
% 0.43/0.59 ;
% 0.43/0.59 ; Run time in seconds excluding printing time:
% 0.43/0.59 ; 0.017 14% Read assertion file (1 call)
% 0.43/0.59 ; 0.002 2% Assert (94 calls)
% 0.43/0.59 ; 0.028 23% Process new row (567 calls)
% 0.43/0.59 ; 0.017 14% Resolution (200 calls)
% 0.43/0.59 ; 0.001 1% Paramodulation (100 calls)
% 0.43/0.59 ; 0.000 0% Factoring (3 calls)
% 0.43/0.59 ; 0.003 2% Condensing (180 calls)
% 0.43/0.59 ; 0.009 7% Forward subsumption (180 calls)
% 0.43/0.59 ; 0.002 2% Backward subsumption (167 calls)
% 0.43/0.59 ; 0.002 2% Clause clause subsumption (91 calls)
% 0.43/0.59 ; 0.011 9% Forward simplification (567 calls)
% 0.43/0.59 ; 0.001 1% Backward simplification (333 calls)
% 0.43/0.59 ; 0.001 1% Ordering (340 calls)
% 0.43/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.59 ; 0.000 0% Purity testing (1 call)
% 0.43/0.59 ; 0.027 22% Other
% 0.43/0.59 ; 0.121 Total
% 0.43/0.59 ; 0.121 Real time
% 0.43/0.59 ;
% 0.43/0.59 ; Term-hash-array has 852 terms in all.
% 0.43/0.59 ; Feature-vector-row-index has 167 entries (167 at peak, 167 added, 0 deleted).
% 0.43/0.59 ; Feature-vector-row-index has 1,098 nodes (1,098 at peak, 1,098 added, 0 deleted).
% 0.43/0.59 ; Retrieved 82 possibly forward subsuming rows in 180 calls.
% 0.43/0.59 ; Retrieved 26 possibly backward subsumed rows in 167 calls.
% 0.43/0.59 ; Path-index has 861 entries (862 at peak, 863 added, 2 deleted).
% 0.43/0.59 ; Path-index has 2,777 nodes (2,778 at peak, 2,779 added, 2 deleted).
% 0.43/0.59 ; Trie-index has 861 entries (862 at peak, 863 added, 2 deleted).
% 0.43/0.59 ; Trie-index has 2,848 nodes (2,852 at peak, 2,853 added, 5 deleted).
% 0.43/0.59 ; Retrieved 434 generalization terms in 1,516 calls.
% 0.43/0.59 ; Retrieved 184 instance terms in 165 calls.
% 0.43/0.59 ; Retrieved 9,510 unifiable terms in 951 calls.
% 0.43/0.59 ;
% 0.43/0.59 ; The agenda of rows to process has 4 entries:
% 0.43/0.59 ; 2 with value 11 2 with value 13
% 0.43/0.59 ; The agenda of rows to give has 230 entries:
% 0.43/0.59 ; 3 with value (4 7) 11 with value (4 19) 2 with value (4 34)
% 0.43/0.59 ; 14 with value (4 8) 6 with value (4 20) 2 with value (4 37)
% 0.43/0.59 ; 13 with value (4 9) 3 with value (4 21) 1 with value (4 43)
% 0.43/0.59 ; 18 with value (4 10) 3 with value (4 22) 1 with value (4 44)
% 0.43/0.59 ; 19 with value (4 11) 5 with value (4 23) 1 with value (4 45)
% 0.43/0.59 ; 17 with value (4 12) 5 with value (4 24) 3 with value (4 46)
% 0.43/0.59 ; 25 with value (4 13) 4 with value (4 26) 1 with value (4 49)
% 0.43/0.59 ; 13 with value (4 14) 3 with value (4 29) 1 with value (4 51)
% 0.43/0.59 ; 14 with value (4 15) 3 with value (4 30) 1 with value (4 53)
% 0.43/0.59 ; 10 with value (4 16) 1 with value (4 31) 1 with value (4 59)
% 0.43/0.59 ; 7 with value (4 17) 1 with value (4 32) 1 with value (4 63)
% 0.43/0.59 ; 15 with value (4 18) 2 with value (4 33)
% 0.43/0.59 Evaluation took:
% 0.43/0.59 0.122 seconds of real time
% 0.43/0.59 0.112124 seconds of user run time
% 0.43/0.59 0.009883 seconds of system run time
% 0.43/0.59 0 calls to %EVAL
% 0.43/0.59 0 page faults and
% 0.43/0.59 7,341,040 bytes consed.
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:47:27
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 *
%------------------------------------------------------------------------------