TSTP Solution File: NUM180-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM180-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Mon Jul 18 14:06:57 EDT 2022
% Result : Unsatisfiable 0.53s 0.73s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 1 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(limit_ordinals,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',limit_ordinals) ).
cnf(prove_limit_ordinals_are_ordinals_1,negated_conjecture,
~ subclass(limit_ordinals,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_limit_ordinals_are_ordinals_1) ).
cnf(216,plain,
member(not_subclass_element(limit_ordinals,ordinal_numbers),limit_ordinals),
inference('HYPERRESOLVE',[status(thm)],[prove_limit_ordinals_are_ordinals_1,not_subclass_members1]) ).
cnf(217,plain,
~ member(not_subclass_element(limit_ordinals,ordinal_numbers),ordinal_numbers),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_limit_ordinals_are_ordinals_1]) ).
cnf(228,plain,
( ~ member(X,limit_ordinals)
| member(X,ordinal_numbers) ),
inference('PARAMODULATE',[status(thm)],[intersection2,limit_ordinals,theory(equality)]) ).
cnf(883,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[228,216,217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM180-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 05:39:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:39:53
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-06T05:39:53
% 0.53/0.73
% 0.53/0.73
% 0.53/0.73 #||
% 0.53/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73 % SZS output start Refutation
% See solution above
% 0.53/0.73 ||#
% 0.53/0.73
% 0.53/0.73 ; Summary of computation:
% 0.53/0.73 ; 1565 formulas have been input or derived (from 192 formulas).
% 0.53/0.73 ; 883 (56%) were retained. Of these,
% 0.53/0.73 ; 35 ( 4%) were simplified or subsumed later,
% 0.53/0.73 ; 848 (96%) are still being kept.
% 0.53/0.73 ;
% 0.53/0.73 ; Run time in seconds excluding printing time:
% 0.53/0.73 ; 0.030 13% Read assertion file (1 call)
% 0.53/0.73 ; 0.004 2% Assert (159 calls)
% 0.53/0.73 ; 0.054 23% Process new row (1,409 calls)
% 0.53/0.73 ; 0.048 20% Resolution (382 calls)
% 0.53/0.73 ; 0.006 3% Paramodulation (191 calls)
% 0.53/0.73 ; 0.000 0% Factoring (4 calls)
% 0.53/0.73 ; 0.007 3% Condensing (426 calls)
% 0.53/0.73 ; 0.016 7% Forward subsumption (426 calls)
% 0.53/0.73 ; 0.006 3% Backward subsumption (393 calls)
% 0.53/0.73 ; 0.001 0% Clause clause subsumption (339 calls)
% 0.53/0.73 ; 0.024 10% Forward simplification (1,409 calls)
% 0.53/0.73 ; 0.007 3% Backward simplification (849 calls)
% 0.53/0.73 ; 0.001 0% Ordering (831 calls)
% 0.53/0.73 ; 0.001 0% Sortal reasoning (32 calls)
% 0.53/0.73 ; 0.000 0% Purity testing (1 call)
% 0.53/0.73 ; 0.032 14% Other
% 0.53/0.73 ; 0.237 Total
% 0.53/0.73 ; 0.238 Real time
% 0.53/0.73 ;
% 0.53/0.73 ; Term-hash-array has 2,056 terms in all.
% 0.53/0.73 ; Feature-vector-row-index has 393 entries (393 at peak, 393 added, 0 deleted).
% 0.53/0.73 ; Feature-vector-row-index has 2,537 nodes (2,537 at peak, 2,537 added, 0 deleted).
% 0.53/0.73 ; Retrieved 315 possibly forward subsuming rows in 426 calls.
% 0.53/0.73 ; Retrieved 103 possibly backward subsumed rows in 393 calls.
% 0.53/0.73 ; Path-index has 2,073 entries (2,073 at peak, 2,074 added, 1 deleted).
% 0.53/0.73 ; Path-index has 5,430 nodes (5,430 at peak, 5,431 added, 1 deleted).
% 0.53/0.73 ; Trie-index has 2,073 entries (2,073 at peak, 2,074 added, 1 deleted).
% 0.53/0.73 ; Trie-index has 6,906 nodes (6,906 at peak, 6,907 added, 1 deleted).
% 0.53/0.73 ; Retrieved 1,004 generalization terms in 3,781 calls.
% 0.53/0.73 ; Retrieved 497 instance terms in 458 calls.
% 0.53/0.73 ; Retrieved 41,416 unifiable terms in 2,423 calls.
% 0.53/0.73 ;
% 0.53/0.73 ; The agenda of rows to process has 4 entries:
% 0.53/0.73 ; 3 with value 9 1 with value 12
% 0.53/0.73 ; The agenda of rows to give has 656 entries:
% 0.53/0.73 ; 17 with value (4 9) 7 with value (4 24) 3 with value (4 39)
% 0.53/0.73 ; 33 with value (4 10) 3 with value (4 25) 1 with value (4 41)
% 0.53/0.73 ; 31 with value (4 11) 9 with value (4 26) 3 with value (4 42)
% 0.53/0.73 ; 41 with value (4 12) 5 with value (4 27) 1 with value (4 43)
% 0.53/0.73 ; 37 with value (4 13) 2 with value (4 28) 1 with value (4 44)
% 0.53/0.73 ; 98 with value (4 14) 6 with value (4 29) 2 with value (4 45)
% 0.53/0.73 ; 80 with value (4 15) 3 with value (4 30) 6 with value (4 46)
% 0.53/0.73 ; 82 with value (4 16) 1 with value (4 31) 3 with value (4 49)
% 0.53/0.73 ; 16 with value (4 17) 4 with value (4 32) 1 with value (4 51)
% 0.53/0.73 ; 38 with value (4 18) 3 with value (4 33) 1 with value (4 53)
% 0.53/0.73 ; 43 with value (4 19) 9 with value (4 34) 1 with value (4 55)
% 0.53/0.73 ; 27 with value (4 20) 1 with value (4 35) 1 with value (4 57)
% 0.53/0.73 ; 9 with value (4 21) 1 with value (4 36) 1 with value (4 59)
% 0.53/0.73 ; 10 with value (4 22) 3 with value (4 37) 1 with value (4 63)
% 0.53/0.73 ; 8 with value (4 23) 3 with value (4 38)
% 0.53/0.73 Evaluation took:
% 0.53/0.73 0.239 seconds of real time
% 0.53/0.73 0.221223 seconds of user run time
% 0.53/0.73 0.018121 seconds of system run time
% 0.53/0.73 [Run times include 0.016 seconds GC run time.]
% 0.53/0.73 0 calls to %EVAL
% 0.53/0.73 0 page faults and
% 0.53/0.73 15,456,592 bytes consed.
% 0.53/0.73 :PROOF-FOUND
% 0.53/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:39:53
% 0.53/0.73 :PROOF-FOUND
% 0.53/0.73 *
%------------------------------------------------------------------------------