%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET138-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 05:07:46 EDT 2022
% Result : Unsatisfiable 6.48s 6.69s
% Output : Refutation 6.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 13 unt; 1 nHn; 10 RR)
% Number of literals : 22 ( 4 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
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_member_of_triple_kludge2_1,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_triple_kludge2_1) ).
cnf(prove_member_of_triple_kludge2_4,negated_conjecture,
~ member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_triple_kludge2_4) ).
cnf(109,plain,
~ member(u,complement(intersection(complement(singleton(u)),complement(complement(intersection(complement(singleton(v)),complement(complement(intersection(complement(singleton(w)),complement(null_class)))))))))),
inference('REWRITE',[status(thm)],[prove_member_of_triple_kludge2_4,104,theory(equality)]) ).
cnf(134,plain,
member(u,unordered_pair(u,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_member_of_triple_kludge2_1]) ).
cnf(292,plain,
member(u,intersection(complement(singleton(u)),complement(complement(intersection(complement(singleton(v)),complement(complement(intersection(complement(singleton(w)),complement(null_class))))))))),
inference('UR-RESOLVE',[status(thm)],[complement2,109,prove_member_of_triple_kludge2_1]) ).
cnf(744,plain,
member(u,singleton(u)),
inference('PARAMODULATE',[status(thm)],[134,singleton_set,theory(equality)]) ).
cnf(1818,plain,
~ member(u,complement(singleton(u))),
inference('UR-RESOLVE',[status(thm)],[complement1,744]) ).
cnf(28353,plain,
~ member(u,intersection(complement(singleton(u)),X)),
inference('UR-RESOLVE',[status(thm)],[intersection1,1818]) ).
cnf(28354,plain,
$false,
inference('REWRITE',[status(thm)],[292,28353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET138-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 03:46:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:46:45
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-11T03:46:45
% 6.48/6.69
% 6.48/6.69
% 6.48/6.69 #||
% 6.48/6.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.48/6.69 % SZS output start Refutation
% See solution above
% 6.48/6.69 ||#
% 6.48/6.69
% 6.48/6.69 ; Summary of computation:
% 6.48/6.69 ; 56219 formulas have been input or derived (from 403 formulas).
% 6.48/6.69 ; 28354 (50%) were retained. Of these,
% 6.48/6.69 ; 1357 ( 5%) were simplified or subsumed later,
% 6.48/6.69 ; 26997 (95%) are still being kept.
% 6.48/6.69 ;
% 6.48/6.69 ; Run time in seconds excluding printing time:
% 6.48/6.69 ; 0.017 0% Read assertion file (1 call)
% 6.48/6.69 ; 0.002 0% Assert (96 calls)
% 6.48/6.69 ; 2.219 36% Process new row (55,276 calls)
% 6.48/6.69 ; 2.424 39% Resolution (804 calls)
% 6.48/6.69 ; 0.007 0% Paramodulation (402 calls)
% 6.48/6.69 ; 0.000 0% Factoring (8 calls)
% 6.48/6.69 ; 0.019 0% Condensing (2,497 calls)
% 6.48/6.69 ; 0.177 3% Forward subsumption (2,497 calls)
% 6.48/6.69 ; 0.107 2% Backward subsumption (2,450 calls)
% 6.48/6.69 ; 0.008 0% Clause clause subsumption (5,114 calls)
% 6.48/6.69 ; 0.602 10% Forward simplification (55,264 calls)
% 6.48/6.69 ; 0.422 7% Backward simplification (28,340 calls)
% 6.48/6.69 ; 0.010 0% Ordering (5,661 calls)
% 6.48/6.69 ; 0.000 0% Sortal reasoning (32 calls)
% 6.48/6.69 ; 0.001 0% Purity testing (1 call)
% 6.48/6.69 ; 0.202 3% Other
% 6.48/6.69 ; 6.217 Total
% 6.48/6.69 ; 6.219 Real time
% 6.48/6.69 ;
% 6.48/6.69 ; Term-hash-array has 40,938 terms in all.
% 6.48/6.69 ; Feature-vector-row-index has 2,413 entries (2,413 at peak, 2,450 added, 37 deleted).
% 6.48/6.69 ; Feature-vector-row-index has 10,876 nodes (10,876 at peak, 11,036 added, 160 deleted).
% 6.48/6.69 ; Retrieved 4,603 possibly forward subsuming rows in 2,497 calls.
% 6.48/6.69 ; Retrieved 1,753 possibly backward subsumed rows in 2,450 calls.
% 6.48/6.69 ; Path-index has 39,477 entries (39,478 at peak, 41,007 added, 1,530 deleted).
% 6.48/6.69 ; Path-index has 7,093 nodes (7,096 at peak, 7,215 added, 122 deleted).
% 6.48/6.69 ; Trie-index has 39,477 entries (39,478 at peak, 41,007 added, 1,530 deleted).
% 6.48/6.69 ; Trie-index has 121,808 nodes (121,822 at peak, 126,118 added, 4,310 deleted).
% 6.48/6.69 ; Retrieved 34,237 generalization terms in 145,225 calls.
% 6.48/6.69 ; Retrieved 26,165 instance terms in 25,889 calls.
% 6.48/6.69 ; Retrieved 5,959,921 unifiable terms in 33,359 calls.
% 6.48/6.69 ;
% 6.48/6.69 ; The agenda of rows to process has 3 entries:
% 6.48/6.69 ; 1 with value 15 2 with value 17
% 6.48/6.69 ; The agenda of rows to give has 26637 entries:
% 6.48/6.69 ; 109 with value (4 11) 23 with value (4 24) 8 with value (4 36)
% 6.48/6.69 ; 223 with value (4 12) 7 with value (4 25) 2 with value (4 37)
% 6.48/6.69 ; 381 with value (4 13) 8 with value (4 26) 2 with value (4 38)
% 6.48/6.69 ; 830 with value (4 14) 25 with value (4 27) 1 with value (4 43)
% 6.48/6.69 ; 877 with value (4 15) 19 with value (4 28) 1 with value (4 44)
% 6.48/6.69 ; 1977 with value (4 16) 12 with value (4 29) 1 with value (4 45)
% 6.48/6.69 ; 3012 with value (4 17) 22 with value (4 30) 3 with value (4 46)
% 6.48/6.69 ; 5322 with value (4 18) 3 with value (4 31) 1 with value (4 49)
% 6.48/6.69 ; 4781 with value (4 19) 1 with value (4 32) 1 with value (4 51)
% 6.48/6.69 ; 5449 with value (4 20) 3 with value (4 33) 1 with value (4 53)
% 6.48/6.69 ; 2985 with value (4 21) 2 with value (4 34) 1 with value (4 59)
% 6.48/6.69 ; 522 with value (4 22) 1 with value (4 35) 1 with value (4 63)
% 6.48/6.69 ; 20 with value (4 23)
% 6.48/6.69 Evaluation took:
% 6.48/6.69 6.222 seconds of real time
% 6.48/6.69 5.807612 seconds of user run time
% 6.48/6.69 0.41407 seconds of system run time
% 6.48/6.69 [Run times include 1.16 seconds GC run time.]
% 6.48/6.69 0 calls to %EVAL
% 6.48/6.69 0 page faults and
% 6.48/6.69 366,574,992 bytes consed.
% 6.48/6.69 :PROOF-FOUND
% 6.48/6.69 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:46:51
% 6.48/6.69 :PROOF-FOUND
% 6.48/6.69 *
%------------------------------------------------------------------------------