%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET134-6 : 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 05:07:44 EDT 2022
% Result : Unsatisfiable 2.34s 2.52s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 17 unt; 4 nHn; 14 RR)
% Number of literals : 35 ( 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 : 12 ( 12 usr; 5 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/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(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(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
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_corollary_2_to_member_of_triple_1,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_1) ).
cnf(prove_corollary_2_to_member_of_triple_2,negated_conjecture,
set_builder(u,set_builder(y,set_builder(z,null_class))) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_2) ).
cnf(107,plain,
complement(intersection(complement(singleton(u)),complement(complement(intersection(complement(singleton(y)),complement(complement(intersection(complement(singleton(z)),complement(null_class))))))))) = null_class,
inference('REWRITE',[status(thm)],[prove_corollary_2_to_member_of_triple_2,104,theory(equality)]) ).
cnf(113,plain,
~ member(u,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,prove_corollary_2_to_member_of_triple_1]) ).
cnf(126,plain,
member(u,unordered_pair(u,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_corollary_2_to_member_of_triple_1]) ).
cnf(137,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(165,plain,
( member(u,complement(X))
| member(u,X) ),
inference('HYPERRESOLVE',[status(thm)],[complement2,prove_corollary_2_to_member_of_triple_1]) ).
cnf(479,plain,
member(u,singleton(u)),
inference('PARAMODULATE',[status(thm)],[126,singleton_set,theory(equality)]) ).
cnf(876,plain,
~ member(u,complement(singleton(u))),
inference('UR-RESOLVE',[status(thm)],[complement1,479]) ).
cnf(4050,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,137,regularity1]) ).
cnf(4052,plain,
~ member(u,null_class),
inference('REWRITE',[status(thm)],[113,4050,theory(equality)]) ).
cnf(7113,plain,
member(u,intersection(complement(singleton(u)),complement(complement(intersection(complement(singleton(y)),complement(complement(intersection(complement(singleton(z)),complement(null_class))))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[165,107,theory(equality)]),4052]) ).
cnf(11125,plain,
~ member(u,intersection(complement(singleton(u)),X)),
inference('UR-RESOLVE',[status(thm)],[intersection1,876]) ).
cnf(11126,plain,
$false,
inference('REWRITE',[status(thm)],[7113,11125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET134-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 : Sun Jul 10 21:42:40 EDT 2022
% 0.12/0.34 % 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 2022-07-10T21:42:40
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-10T21:42:40
% 2.34/2.52
% 2.34/2.52
% 2.34/2.52 #||
% 2.34/2.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.34/2.52 % SZS output start Refutation
% See solution above
% 2.34/2.52 ||#
% 2.34/2.52
% 2.34/2.52 ; Summary of computation:
% 2.34/2.52 ; 22021 formulas have been input or derived (from 293 formulas).
% 2.34/2.52 ; 11126 (51%) were retained. Of these,
% 2.34/2.52 ; 591 ( 5%) were simplified or subsumed later,
% 2.34/2.52 ; 10535 (95%) are still being kept.
% 2.34/2.52 ;
% 2.34/2.52 ; Run time in seconds excluding printing time:
% 2.34/2.52 ; 0.017 1% Read assertion file (1 call)
% 2.34/2.52 ; 0.003 0% Assert (94 calls)
% 2.34/2.52 ; 0.682 33% Process new row (21,450 calls)
% 2.34/2.52 ; 0.786 38% Resolution (584 calls)
% 2.34/2.52 ; 0.008 0% Paramodulation (292 calls)
% 2.34/2.52 ; 0.000 0% Factoring (6 calls)
% 2.34/2.52 ; 0.010 0% Condensing (1,208 calls)
% 2.34/2.52 ; 0.071 3% Forward subsumption (1,208 calls)
% 2.34/2.52 ; 0.036 2% Backward subsumption (1,175 calls)
% 2.34/2.52 ; 0.003 0% Clause clause subsumption (2,470 calls)
% 2.34/2.52 ; 0.211 10% Forward simplification (21,442 calls)
% 2.34/2.52 ; 0.135 7% Backward simplification (11,112 calls)
% 2.34/2.52 ; 0.004 0% Ordering (2,868 calls)
% 2.34/2.52 ; 0.001 0% Sortal reasoning (32 calls)
% 2.34/2.52 ; 0.000 0% Purity testing (1 call)
% 2.34/2.52 ; 0.086 4% Other
% 2.34/2.52 ; 2.053 Total
% 2.34/2.52 ; 2.055 Real time
% 2.34/2.52 ;
% 2.34/2.53 ; Term-hash-array has 16,554 terms in all.
% 2.34/2.53 ; Feature-vector-row-index has 1,148 entries (1,148 at peak, 1,175 added, 27 deleted).
% 2.34/2.53 ; Feature-vector-row-index has 5,461 nodes (5,461 at peak, 5,583 added, 122 deleted).
% 2.34/2.53 ; Retrieved 2,353 possibly forward subsuming rows in 1,208 calls.
% 2.34/2.53 ; Retrieved 787 possibly backward subsumed rows in 1,175 calls.
% 2.34/2.53 ; Path-index has 15,895 entries (15,896 at peak, 16,610 added, 715 deleted).
% 2.34/2.53 ; Path-index has 6,213 nodes (6,213 at peak, 6,331 added, 118 deleted).
% 2.34/2.53 ; Trie-index has 15,895 entries (15,896 at peak, 16,610 added, 715 deleted).
% 2.34/2.53 ; Trie-index has 48,046 nodes (48,060 at peak, 49,884 added, 1,838 deleted).
% 2.34/2.53 ; Retrieved 13,929 generalization terms in 55,274 calls.
% 2.34/2.53 ; Retrieved 10,112 instance terms in 9,936 calls.
% 2.34/2.53 ; Retrieved 1,463,754 unifiable terms in 14,775 calls.
% 2.34/2.53 ;
% 2.34/2.53 ; The agenda of rows to process has 3 entries:
% 2.34/2.53 ; 1 with value 15 2 with value 17
% 2.34/2.53 ; The agenda of rows to give has 10269 entries:
% 2.34/2.53 ; 75 with value (4 11) 16 with value (4 23) 1 with value (4 35)
% 2.34/2.53 ; 145 with value (4 12) 15 with value (4 24) 2 with value (4 37)
% 2.34/2.53 ; 221 with value (4 13) 5 with value (4 25) 1 with value (4 43)
% 2.34/2.53 ; 412 with value (4 14) 8 with value (4 26) 1 with value (4 44)
% 2.34/2.53 ; 359 with value (4 15) 17 with value (4 27) 1 with value (4 45)
% 2.34/2.53 ; 811 with value (4 16) 11 with value (4 28) 3 with value (4 46)
% 2.34/2.53 ; 1174 with value (4 17) 12 with value (4 29) 1 with value (4 49)
% 2.34/2.53 ; 1968 with value (4 18) 14 with value (4 30) 1 with value (4 51)
% 2.34/2.53 ; 1963 with value (4 19) 3 with value (4 31) 1 with value (4 53)
% 2.34/2.53 ; 1871 with value (4 20) 2 with value (4 32) 1 with value (4 58)
% 2.34/2.53 ; 923 with value (4 21) 2 with value (4 33) 1 with value (4 59)
% 2.34/2.53 ; 224 with value (4 22) 3 with value (4 34) 1 with value (4 63)
% 2.34/2.53 Evaluation took:
% 2.34/2.53 2.056 seconds of real time
% 2.34/2.53 1.916911 seconds of user run time
% 2.34/2.53 0.139842 seconds of system run time
% 2.34/2.53 [Run times include 0.274 seconds GC run time.]
% 2.34/2.53 0 calls to %EVAL
% 2.34/2.53 0 page faults and
% 2.34/2.53 135,483,896 bytes consed.
% 2.34/2.53 :PROOF-FOUND
% 2.34/2.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T21:42:42
% 2.34/2.53 :PROOF-FOUND
% 2.34/2.53 *
%------------------------------------------------------------------------------