TSTP Solution File: SET411-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET411-6 : 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 05:09:31 EDT 2022
% Result : Unsatisfiable 0.37s 0.70s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 1 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 4 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(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(element_relation2,axiom,
( ~ member(ordered_pair(X,Y),element_relation)
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',element_relation2) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(compose_can_define_singleton,axiom,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
file('/export/starexec/sandbox/benchmark/Axioms/SET004-1.ax',compose_can_define_singleton) ).
cnf(prove_compose_condition_for_singleton_membership1_1,negated_conjecture,
member(ordered_pair(x,y),singleton_relation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_1) ).
cnf(prove_compose_condition_for_singleton_membership1_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_2) ).
cnf(157,plain,
~ member(x,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_compose_condition_for_singleton_membership1_2]) ).
cnf(208,plain,
( ~ member(X,singleton_relation)
| member(X,element_relation) ),
inference('PARAMODULATE',[status(thm)],[intersection2,compose_can_define_singleton,theory(equality)]) ).
cnf(306,plain,
~ member(ordered_pair(x,X),element_relation),
inference('UR-RESOLVE',[status(thm)],[element_relation2,157]) ).
cnf(668,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[208,prove_compose_condition_for_singleton_membership1_1]),306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET411-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.15 % Command : run-snark %s %d
% 0.16/0.37 % Computer : n023.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 23:13:55 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.24/0.51 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.52 *
% 0.37/0.52 *
% 0.37/0.53 #<PACKAGE "SNARK-USER">
% 0.37/0.53 *
% 0.37/0.53 SNARK-TPTP-OPTIONS
% 0.37/0.53 *
% 0.37/0.53 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.37/0.53 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.37/0.53 (USE-FACTORING :POS)
% 0.37/0.53 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.37/0.53 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.37/0.53 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.37/0.53 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.37/0.53 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.37/0.53 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.37/0.53 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.37/0.53 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.37/0.53 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.37/0.53 (DECLARE-TPTP-SYMBOLS2))
% 0.37/0.53 *
% 0.37/0.53 "."
% 0.37/0.53 *
% 0.37/0.53 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:13:55
% 0.37/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-09T23:13:55
% 0.37/0.70
% 0.37/0.70
% 0.37/0.70 #||
% 0.37/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.70 % SZS output start Refutation
% See solution above
% 0.37/0.70 ||#
% 0.37/0.70
% 0.37/0.70 ; Summary of computation:
% 0.37/0.70 ; 1272 formulas have been input or derived (from 141 formulas).
% 0.37/0.70 ; 668 (53%) were retained. Of these,
% 0.37/0.70 ; 21 ( 3%) were simplified or subsumed later,
% 0.37/0.70 ; 647 (97%) are still being kept.
% 0.37/0.70 ;
% 0.37/0.70 ; Run time in seconds:
% 0.37/0.70 ; 0.021 12% Read assertion file (1 call)
% 0.37/0.70 ; 0.004 2% Assert (114 calls)
% 0.37/0.70 ; 0.048 28% Process new row (1,169 calls)
% 0.37/0.70 ; 0.025 15% Resolution (280 calls)
% 0.37/0.70 ; 0.003 2% Paramodulation (140 calls)
% 0.37/0.70 ; 0.000 0% Factoring (3 calls)
% 0.37/0.70 ; 0.003 2% Condensing (250 calls)
% 0.37/0.70 ; 0.012 7% Forward subsumption (250 calls)
% 0.37/0.70 ; 0.004 2% Backward subsumption (233 calls)
% 0.37/0.70 ; 0.000 0% Clause clause subsumption (138 calls)
% 0.37/0.70 ; 0.014 8% Forward simplification (1,169 calls)
% 0.37/0.70 ; 0.004 2% Backward simplification (653 calls)
% 0.37/0.70 ; 0.001 1% Ordering (468 calls)
% 0.37/0.70 ; 0.001 1% Sortal reasoning (32 calls)
% 0.37/0.70 ; 0.000 0% Purity testing (1 call)
% 0.37/0.70 ; 0.032 19% Other
% 0.37/0.70 ; 0.172 Total
% 0.37/0.70 ; 0.174 Real time
% 0.37/0.70 ;
% 0.37/0.70 ; Term-hash-array has 1,494 terms in all.
% 0.37/0.70 ; Feature-vector-row-index has 233 entries (233 at peak, 233 added, 0 deleted).
% 0.37/0.70 ; Feature-vector-row-index has 1,542 nodes (1,542 at peak, 1,542 added, 0 deleted).
% 0.37/0.70 ; Retrieved 137 possibly forward subsuming rows in 250 calls.
% 0.37/0.70 ; Retrieved 41 possibly backward subsumed rows in 233 calls.
% 0.37/0.70 ; Path-index has 1,499 entries (1,499 at peak, 1,508 added, 9 deleted).
% 0.37/0.70 ; Path-index has 3,686 nodes (3,686 at peak, 3,693 added, 7 deleted).
% 0.37/0.70 ; Trie-index has 1,499 entries (1,499 at peak, 1,508 added, 9 deleted).
% 0.37/0.70 ; Trie-index has 4,853 nodes (4,853 at peak, 4,867 added, 14 deleted).
% 0.37/0.70 ; Retrieved 858 generalization terms in 2,822 calls.
% 0.37/0.70 ; Retrieved 448 instance terms in 419 calls.
% 0.37/0.70 ; Retrieved 25,526 unifiable terms in 1,742 calls.
% 0.37/0.70 ;
% 0.37/0.70 ; The agenda of rows to process has 1 entry:
% 0.37/0.70 ; 1 with value 12
% 0.37/0.70 ; The agenda of rows to give has 507 entries:
% 0.37/0.70 ; 13 with value (4 9) 4 with value (4 22) 3 with value (4 34)
% 0.37/0.70 ; 29 with value (4 10) 7 with value (4 23) 2 with value (4 37)
% 0.37/0.70 ; 30 with value (4 11) 5 with value (4 24) 1 with value (4 43)
% 0.37/0.70 ; 37 with value (4 12) 2 with value (4 25) 1 with value (4 44)
% 0.37/0.70 ; 40 with value (4 13) 5 with value (4 26) 1 with value (4 45)
% 0.37/0.70 ; 76 with value (4 14) 1 with value (4 27) 4 with value (4 46)
% 0.37/0.70 ; 85 with value (4 15) 2 with value (4 28) 2 with value (4 49)
% 0.37/0.70 ; 73 with value (4 16) 3 with value (4 29) 1 with value (4 51)
% 0.37/0.70 ; 10 with value (4 17) 3 with value (4 30) 1 with value (4 53)
% 0.37/0.70 ; 23 with value (4 18) 1 with value (4 31) 1 with value (4 55)
% 0.37/0.70 ; 25 with value (4 19) 1 with value (4 32) 1 with value (4 59)
% 0.37/0.70 ; 4 with value (4 20) 2 with value (4 33) 1 with value (4 63)
% 0.37/0.70 ; 7 with value (4 21)
% 0.37/0.70 Evaluation took:
% 0.37/0.70 0.174 seconds of real time
% 0.37/0.70 0.158084 seconds of user run time
% 0.37/0.70 0.015823 seconds of system run time
% 0.37/0.70 0 calls to %EVAL
% 0.37/0.70 0 page faults and
% 0.37/0.70 10,897,440 bytes consed.
% 0.37/0.70 :PROOF-FOUND
% 0.37/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:13:55
% 0.37/0.70 :PROOF-FOUND
% 0.37/0.70 *
%------------------------------------------------------------------------------