TSTP Solution File: SET096-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET096-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 05:07:17 EDT 2022
% Result : Unsatisfiable 1.14s 1.36s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 13 unt; 3 nHn; 17 RR)
% Number of literals : 30 ( 10 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 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(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_two_subsets_of_singleton_1,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
cnf(prove_two_subsets_of_singleton_2,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
cnf(prove_two_subsets_of_singleton_3,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
cnf(118,plain,
member(regular(x),x),
inference('UR-RESOLVE',[status(thm)],[regularity1,prove_two_subsets_of_singleton_2]) ).
cnf(133,plain,
member(regular(x),singleton(y)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[subclass_members,prove_two_subsets_of_singleton_1,regularity1]),prove_two_subsets_of_singleton_2]) ).
cnf(141,plain,
~ subclass(singleton(y),x),
inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,prove_two_subsets_of_singleton_1,prove_two_subsets_of_singleton_3]) ).
cnf(143,plain,
member(not_subclass_element(singleton(y),x),singleton(y)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[subclass_implies_equal,not_subclass_members1,prove_two_subsets_of_singleton_1]),prove_two_subsets_of_singleton_3]) ).
cnf(178,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[unordered_pair_member,singleton_set,theory(equality)]) ).
cnf(376,plain,
~ member(not_subclass_element(singleton(y),x),x),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,141]) ).
cnf(4837,plain,
regular(x) = y,
inference('HYPERRESOLVE',[status(thm)],[178,133]) ).
cnf(4838,plain,
member(y,x),
inference('REWRITE',[status(thm)],[118,4837,theory(equality)]) ).
cnf(5335,plain,
not_subclass_element(singleton(y),x) = y,
inference('HYPERRESOLVE',[status(thm)],[178,143]) ).
cnf(5336,plain,
$false,
inference('REWRITE',[status(thm)],[376,4838,5335,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET096-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.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 : Sat Jul 9 23:21:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:21:21
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-09T23:21:21
% 1.14/1.36
% 1.14/1.36
% 1.14/1.36 #||
% 1.14/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.14/1.36 % SZS output start Refutation
% See solution above
% 1.16/1.36 ||#
% 1.16/1.36
% 1.16/1.36 ; Summary of computation:
% 1.16/1.36 ; 10120 formulas have been input or derived (from 248 formulas).
% 1.16/1.36 ; 5336 (53%) were retained. Of these,
% 1.16/1.36 ; 859 (16%) were simplified or subsumed later,
% 1.16/1.36 ; 4477 (84%) are still being kept.
% 1.16/1.36 ;
% 1.16/1.36 ; Run time in seconds excluding printing time:
% 1.16/1.36 ; 0.018 2% Read assertion file (1 call)
% 1.16/1.36 ; 0.002 0% Assert (94 calls)
% 1.16/1.36 ; 0.285 34% Process new row (9,605 calls)
% 1.16/1.36 ; 0.205 24% Resolution (494 calls)
% 1.16/1.36 ; 0.007 1% Paramodulation (247 calls)
% 1.16/1.36 ; 0.000 0% Factoring (5 calls)
% 1.16/1.36 ; 0.005 1% Condensing (714 calls)
% 1.16/1.36 ; 0.024 3% Forward subsumption (714 calls)
% 1.16/1.36 ; 0.023 3% Backward subsumption (688 calls)
% 1.16/1.36 ; 0.000 0% Clause clause subsumption (1,335 calls)
% 1.16/1.36 ; 0.130 15% Forward simplification (9,602 calls)
% 1.16/1.36 ; 0.092 11% Backward simplification (5,324 calls)
% 1.16/1.36 ; 0.002 0% Ordering (1,692 calls)
% 1.16/1.36 ; 0.000 0% Sortal reasoning (32 calls)
% 1.16/1.36 ; 0.000 0% Purity testing (1 call)
% 1.16/1.36 ; 0.055 6% Other
% 1.16/1.36 ; 0.848 Total
% 1.16/1.36 ; 0.878 Real time
% 1.16/1.36 ;
% 1.16/1.36 ; Term-hash-array has 7,982 terms in all.
% 1.16/1.36 ; Feature-vector-row-index has 637 entries (644 at peak, 688 added, 51 deleted).
% 1.16/1.36 ; Feature-vector-row-index has 3,117 nodes (3,156 at peak, 3,337 added, 220 deleted).
% 1.16/1.36 ; Retrieved 1,344 possibly forward subsuming rows in 714 calls.
% 1.16/1.36 ; Retrieved 377 possibly backward subsumed rows in 688 calls.
% 1.16/1.36 ; Path-index has 6,938 entries (7,119 at peak, 8,123 added, 1,185 deleted).
% 1.16/1.36 ; Path-index has 4,932 nodes (4,941 at peak, 5,082 added, 150 deleted).
% 1.16/1.36 ; Trie-index has 6,938 entries (7,119 at peak, 8,123 added, 1,185 deleted).
% 1.16/1.36 ; Trie-index has 19,129 nodes (19,865 at peak, 22,255 added, 3,126 deleted).
% 1.16/1.36 ; Retrieved 6,444 generalization terms in 23,659 calls.
% 1.16/1.36 ; Retrieved 4,654 instance terms in 4,635 calls.
% 1.16/1.36 ; Retrieved 391,185 unifiable terms in 7,542 calls.
% 1.16/1.36 ;
% 1.16/1.36 ; The agenda of backward simplifiable rows to process has 119 entries:
% 1.16/1.36 ; 119 with value 0
% 1.16/1.36 ; The agenda of rows to process has 28 entries:
% 1.16/1.36 ; 4 with value 11 10 with value 13 1 with value 16
% 1.16/1.36 ; 13 with value 12
% 1.16/1.36 ; The agenda of rows to give has 4256 entries:
% 1.16/1.36 ; 1 with value (4 5) 595 with value (4 19) 1 with value (4 32)
% 1.16/1.36 ; 1 with value (4 6) 303 with value (4 20) 2 with value (4 33)
% 1.16/1.36 ; 2 with value (4 7) 221 with value (4 21) 2 with value (4 34)
% 1.16/1.36 ; 3 with value (4 8) 21 with value (4 22) 2 with value (4 37)
% 1.16/1.36 ; 3 with value (4 9) 13 with value (4 23) 1 with value (4 43)
% 1.16/1.36 ; 9 with value (4 10) 11 with value (4 24) 1 with value (4 44)
% 1.16/1.36 ; 98 with value (4 11) 4 with value (4 25) 1 with value (4 45)
% 1.16/1.36 ; 131 with value (4 12) 9 with value (4 26) 3 with value (4 46)
% 1.16/1.36 ; 181 with value (4 13) 5 with value (4 27) 1 with value (4 49)
% 1.16/1.36 ; 281 with value (4 14) 7 with value (4 28) 1 with value (4 51)
% 1.16/1.36 ; 240 with value (4 15) 12 with value (4 29) 1 with value (4 53)
% 1.16/1.36 ; 578 with value (4 16) 3 with value (4 30) 1 with value (4 59)
% 1.16/1.36 ; 586 with value (4 17) 2 with value (4 31) 1 with value (4 63)
% 1.16/1.36 ; 918 with value (4 18)
% 1.16/1.36 Evaluation took:
% 1.16/1.36 0.879 seconds of real time
% 1.16/1.36 0.796323 seconds of user run time
% 1.16/1.36 0.053632 seconds of system run time
% 1.16/1.36 [Run times include 0.067 seconds GC run time.]
% 1.16/1.36 0 calls to %EVAL
% 1.16/1.36 0 page faults and
% 1.16/1.36 62,643,600 bytes consed.
% 1.16/1.36 :PROOF-FOUND
% 1.16/1.36 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:21:22
% 1.16/1.36 :PROOF-FOUND
% 1.16/1.36 *
%------------------------------------------------------------------------------