%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET137-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:07:45 EDT 2022
% Result : Unsatisfiable 34.11s 34.31s
% Output : Refutation 34.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 18 unt; 4 nHn; 15 RR)
% Number of literals : 36 ( 9 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 5 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(unordered_pair3,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(Y,X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(definition_of_set_builder,axiom,
union(singleton(X),Y) = set_builder(X,Y),
file('/export/starexec/sandbox/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_member_of_triple_kludge1_1,negated_conjecture,
member(u,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge1_1) ).
cnf(prove_member_of_triple_kludge1_4,negated_conjecture,
set_builder(u,set_builder(v,set_builder(w,null_class))) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge1_4) ).
cnf(109,plain,
complement(intersection(complement(singleton(u)),complement(complement(intersection(complement(singleton(v)),complement(complement(intersection(complement(singleton(w)),complement(null_class))))))))) = null_class,
inference('REWRITE',[status(thm)],[prove_member_of_triple_kludge1_4,104,theory(equality)]) ).
cnf(137,plain,
member(u,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_member_of_triple_kludge1_1]) ).
cnf(140,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(297,plain,
~ member(u,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,137]) ).
cnf(298,plain,
member(u,unordered_pair(X,u)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair3,137]) ).
cnf(315,plain,
( member(u,complement(X))
| member(u,X) ),
inference('HYPERRESOLVE',[status(thm)],[complement2,137]) ).
cnf(1463,plain,
member(u,singleton(u)),
inference('PARAMODULATE',[status(thm)],[298,singleton_set,theory(equality)]) ).
cnf(3381,plain,
~ member(u,complement(singleton(u))),
inference('UR-RESOLVE',[status(thm)],[complement1,1463]) ).
cnf(9894,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,140,regularity1]) ).
cnf(9897,plain,
~ member(u,null_class),
inference('REWRITE',[status(thm)],[297,9894,theory(equality)]) ).
cnf(49149,plain,
member(u,intersection(complement(singleton(u)),complement(complement(intersection(complement(singleton(v)),complement(complement(intersection(complement(singleton(w)),complement(null_class))))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[315,109,theory(equality)]),9897]) ).
cnf(90797,plain,
~ member(u,intersection(complement(singleton(u)),X)),
inference('UR-RESOLVE',[status(thm)],[intersection1,3381]) ).
cnf(90798,plain,
$false,
inference('REWRITE',[status(thm)],[49149,90797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET137-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 00:49:31 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 *
% 0.20/0.47 #<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/sandbox/benchmark/theBenchmark.p 2022-07-10T00:49:31
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T00:49:31
% 34.11/34.31
% 34.11/34.31
% 34.11/34.31 #||
% 34.11/34.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.11/34.31 % SZS output start Refutation
% See solution above
% 34.11/34.31 ||#
% 34.11/34.31
% 34.11/34.31 ; Summary of computation:
% 34.11/34.31 ; 176571 formulas have been input or derived (from 670 formulas).
% 34.11/34.31 ; 90798 (51%) were retained. Of these,
% 34.11/34.31 ; 757 ( 1%) were simplified or subsumed later,
% 34.11/34.31 ; 90041 (99%) are still being kept.
% 34.11/34.31 ;
% 34.11/34.31 ; Run time in seconds excluding printing time:
% 34.11/34.31 ; 0.017 0% Read assertion file (1 call)
% 34.11/34.31 ; 0.003 0% Assert (96 calls)
% 34.11/34.31 ; 7.010 21% Process new row (174,511 calls)
% 34.11/34.31 ; 20.427 60% Resolution (1,338 calls)
% 34.11/34.31 ; 0.039 0% Paramodulation (669 calls)
% 34.11/34.31 ; 0.001 0% Factoring (14 calls)
% 34.11/34.31 ; 0.067 0% Condensing (7,720 calls)
% 34.11/34.31 ; 1.525 5% Forward subsumption (7,720 calls)
% 34.11/34.31 ; 0.671 2% Backward subsumption (7,662 calls)
% 34.11/34.31 ; 0.040 0% Clause clause subsumption (26,681 calls)
% 34.11/34.31 ; 2.237 7% Forward simplification (174,505 calls)
% 34.11/34.31 ; 1.188 4% Backward simplification (90,784 calls)
% 34.11/34.31 ; 0.031 0% Ordering (17,269 calls)
% 34.11/34.31 ; 0.001 0% Sortal reasoning (32 calls)
% 34.11/34.31 ; 0.000 0% Purity testing (1 call)
% 34.11/34.31 ; 0.575 2% Other
% 34.11/34.31 ; 33.832 Total
% 34.11/34.31 ; 33.846 Real time
% 34.11/34.32 ;
% 34.11/34.32 ; Term-hash-array has 110,907 terms in all.
% 34.11/34.32 ; Feature-vector-row-index has 7,638 entries (7,638 at peak, 7,662 added, 24 deleted).
% 34.11/34.32 ; Feature-vector-row-index has 29,865 nodes (29,865 at peak, 29,979 added, 114 deleted).
% 34.11/34.32 ; Retrieved 30,907 possibly forward subsuming rows in 7,720 calls.
% 34.11/34.32 ; Retrieved 9,227 possibly backward subsumed rows in 7,662 calls.
% 34.11/34.32 ; Path-index has 110,057 entries (110,058 at peak, 110,972 added, 915 deleted).
% 34.11/34.32 ; Path-index has 8,997 nodes (8,997 at peak, 9,111 added, 114 deleted).
% 34.11/34.32 ; Trie-index has 110,057 entries (110,058 at peak, 110,972 added, 915 deleted).
% 34.11/34.32 ; Trie-index has 288,056 nodes (288,070 at peak, 290,052 added, 1,996 deleted).
% 34.11/34.32 ; Retrieved 105,595 generalization terms in 467,376 calls.
% 34.11/34.32 ; Retrieved 83,463 instance terms in 83,121 calls.
% 34.11/34.32 ; Retrieved 33,731,661 unifiable terms in 95,692 calls.
% 34.11/34.32 ;
% 34.11/34.32 ; The agenda of rows to process has 8 entries:
% 34.11/34.32 ; 2 with value 16 4 with value 17 2 with value 18
% 34.11/34.32 ; The agenda of rows to give has 89401 entries:
% 34.11/34.32 ; 204 with value (4 12) 790 with value (4 24) 2 with value (4 37)
% 34.11/34.32 ; 498 with value (4 13) 20 with value (4 25) 1 with value (4 43)
% 34.11/34.32 ; 995 with value (4 14) 15 with value (4 26) 1 with value (4 44)
% 34.11/34.32 ; 1744 with value (4 15) 14 with value (4 27) 1 with value (4 45)
% 34.11/34.32 ; 2634 with value (4 16) 21 with value (4 28) 3 with value (4 46)
% 34.11/34.32 ; 5690 with value (4 17) 28 with value (4 29) 1 with value (4 49)
% 34.11/34.32 ; 8089 with value (4 18) 16 with value (4 30) 1 with value (4 51)
% 34.11/34.32 ; 13206 with value (4 19) 16 with value (4 31) 1 with value (4 53)
% 34.11/34.32 ; 15660 with value (4 20) 4 with value (4 32) 1 with value (4 58)
% 34.11/34.32 ; 19474 with value (4 21) 4 with value (4 33) 1 with value (4 59)
% 34.11/34.32 ; 16877 with value (4 22) 3 with value (4 34) 1 with value (4 63)
% 34.11/34.32 ; 3384 with value (4 23) 1 with value (4 35)
% 34.11/34.32 Evaluation took:
% 34.11/34.32 33.853 seconds of real time
% 34.11/34.32 32.360123 seconds of user run time
% 34.11/34.32 1.48166 seconds of system run time
% 34.11/34.32 [Run times include 5.479 seconds GC run time.]
% 34.11/34.32 0 calls to %EVAL
% 34.11/34.32 0 page faults and
% 34.11/34.32 1,338,625,568 bytes consed.
% 34.11/34.32 :PROOF-FOUND
% 34.11/34.32 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T00:50:05
% 34.11/34.32 :PROOF-FOUND
% 34.11/34.32 *
%------------------------------------------------------------------------------