TSTP Solution File: SET064-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET064-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:06:44 EDT 2022
% Result : Unsatisfiable 0.76s 0.95s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 8 unt; 2 nHn; 12 RR)
% Number of literals : 21 ( 5 equ; 9 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(regularity2,axiom,
( X = null_class
| intersection(X,regular(X)) = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(prove_null_class_is_unique_1,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
cnf(prove_null_class_is_unique_2,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
cnf(120,plain,
subclass(z,null_class),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members1,prove_null_class_is_unique_2]) ).
cnf(158,plain,
intersection(z,regular(z)) = null_class,
inference('UR-RESOLVE',[status(thm)],[regularity2,prove_null_class_is_unique_1]) ).
cnf(252,plain,
~ subclass(null_class,z),
inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,120,prove_null_class_is_unique_1]) ).
cnf(254,plain,
member(not_subclass_element(null_class,z),null_class),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[subclass_implies_equal,120,not_subclass_members1]),prove_null_class_is_unique_1]) ).
cnf(277,plain,
~ member(not_subclass_element(null_class,z),z),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,252]) ).
cnf(1080,plain,
( ~ member(X,null_class)
| member(X,z) ),
inference('PARAMODULATE',[status(thm)],[intersection1,158,theory(equality)]) ).
cnf(2742,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[1080,254,277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET064-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 20:44:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T20:44:50
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-09T20:44:50
% 0.76/0.95
% 0.76/0.95
% 0.76/0.95 #||
% 0.76/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.95 % SZS output start Refutation
% See solution above
% 0.76/0.95 ||#
% 0.76/0.95
% 0.76/0.95 ; Summary of computation:
% 0.76/0.95 ; 5437 formulas have been input or derived (from 188 formulas).
% 0.76/0.95 ; 2742 (50%) were retained. Of these,
% 0.76/0.95 ; 13 ( 0%) were simplified or subsumed later,
% 0.76/0.95 ; 2729 (100%) are still being kept.
% 0.76/0.95 ;
% 0.76/0.95 ; Run time in seconds excluding printing time:
% 0.76/0.95 ; 0.018 4% Read assertion file (1 call)
% 0.76/0.95 ; 0.003 1% Assert (93 calls)
% 0.76/0.95 ; 0.201 40% Process new row (5,167 calls)
% 0.76/0.95 ; 0.127 25% Resolution (374 calls)
% 0.76/0.95 ; 0.006 1% Paramodulation (187 calls)
% 0.76/0.95 ; 0.000 0% Factoring (3 calls)
% 0.76/0.95 ; 0.003 1% Condensing (348 calls)
% 0.76/0.95 ; 0.016 3% Forward subsumption (348 calls)
% 0.76/0.95 ; 0.008 2% Backward subsumption (335 calls)
% 0.76/0.95 ; 0.000 0% Clause clause subsumption (230 calls)
% 0.76/0.95 ; 0.046 9% Forward simplification (5,167 calls)
% 0.76/0.95 ; 0.024 5% Backward simplification (2,730 calls)
% 0.76/0.95 ; 0.003 1% Ordering (757 calls)
% 0.76/0.95 ; 0.001 0% Sortal reasoning (32 calls)
% 0.76/0.95 ; 0.000 0% Purity testing (1 call)
% 0.76/0.95 ; 0.047 9% Other
% 0.76/0.95 ; 0.503 Total
% 0.76/0.95 ; 0.505 Real time
% 0.76/0.95 ;
% 0.76/0.95 ; Term-hash-array has 4,551 terms in all.
% 0.76/0.95 ; Feature-vector-row-index has 335 entries (335 at peak, 335 added, 0 deleted).
% 0.76/0.95 ; Feature-vector-row-index has 1,967 nodes (1,967 at peak, 1,967 added, 0 deleted).
% 0.76/0.95 ; Retrieved 204 possibly forward subsuming rows in 348 calls.
% 0.76/0.95 ; Retrieved 82 possibly backward subsumed rows in 335 calls.
% 0.76/0.95 ; Path-index has 4,559 entries (4,559 at peak, 4,560 added, 1 deleted).
% 0.76/0.95 ; Path-index has 4,285 nodes (4,285 at peak, 4,286 added, 1 deleted).
% 0.76/0.95 ; Trie-index has 4,559 entries (4,559 at peak, 4,560 added, 1 deleted).
% 0.76/0.95 ; Trie-index has 13,007 nodes (13,007 at peak, 13,008 added, 1 deleted).
% 0.76/0.95 ; Retrieved 3,642 generalization terms in 12,561 calls.
% 0.76/0.95 ; Retrieved 2,412 instance terms in 2,394 calls.
% 0.76/0.95 ; Retrieved 185,474 unifiable terms in 4,917 calls.
% 0.76/0.95 ;
% 0.76/0.95 ; The agenda of rows to process has 6 entries:
% 0.76/0.95 ; 1 with value 9 1 with value 11 1 with value 13
% 0.76/0.95 ; 3 with value 10
% 0.76/0.95 ; The agenda of rows to give has 2541 entries:
% 0.76/0.95 ; 6 with value (4 10) 4 with value (4 22) 2 with value (4 34)
% 0.76/0.95 ; 57 with value (4 11) 10 with value (4 23) 2 with value (4 37)
% 0.76/0.95 ; 90 with value (4 12) 12 with value (4 24) 1 with value (4 43)
% 0.76/0.95 ; 141 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 0.76/0.95 ; 175 with value (4 14) 6 with value (4 26) 1 with value (4 45)
% 0.76/0.95 ; 180 with value (4 15) 2 with value (4 27) 3 with value (4 46)
% 0.76/0.95 ; 348 with value (4 16) 7 with value (4 28) 1 with value (4 49)
% 0.76/0.95 ; 398 with value (4 17) 10 with value (4 29) 1 with value (4 51)
% 0.76/0.95 ; 535 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.76/0.95 ; 323 with value (4 19) 1 with value (4 31) 1 with value (4 59)
% 0.76/0.95 ; 153 with value (4 20) 1 with value (4 32) 1 with value (4 63)
% 0.76/0.95 ; 58 with value (4 21) 2 with value (4 33)
% 0.76/0.95 Evaluation took:
% 0.76/0.95 0.505 seconds of real time
% 0.76/0.95 0.460508 seconds of user run time
% 0.76/0.95 0.04423 seconds of system run time
% 0.76/0.95 [Run times include 0.035 seconds GC run time.]
% 0.76/0.95 0 calls to %EVAL
% 0.76/0.95 0 page faults and
% 0.76/0.95 31,396,160 bytes consed.
% 0.76/0.95 :PROOF-FOUND
% 0.76/0.95 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T20:44:51
% 0.76/0.95 :PROOF-FOUND
% 0.76/0.95 *
%------------------------------------------------------------------------------