TSTP Solution File: NUM183-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM183-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 14:06:58 EDT 2022
% Result : Unsatisfiable 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 8 unt; 1 nHn; 9 RR)
% Number of literals : 17 ( 1 equ; 7 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; 5 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(intersection3,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| member(X,intersection(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
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_ordinals_are_kind_1_or_limit_1,negated_conjecture,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_1) ).
cnf(prove_ordinals_are_kind_1_or_limit_2,negated_conjecture,
~ member(x,kind_1_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_2) ).
cnf(prove_ordinals_are_kind_1_or_limit_3,negated_conjecture,
~ member(x,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_3) ).
cnf(238,plain,
member(x,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_ordinals_are_kind_1_or_limit_1]) ).
cnf(496,plain,
member(x,complement(kind_1_ordinals)),
inference('UR-RESOLVE',[status(thm)],[complement2,238,prove_ordinals_are_kind_1_or_limit_2]) ).
cnf(1152,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,496,prove_ordinals_are_kind_1_or_limit_1]),prove_ordinals_are_kind_1_or_limit_3,limit_ordinals,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM183-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 : Tue Jul 5 06:34:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T06:34:29
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-05T06:34:29
% 0.56/0.76
% 0.56/0.76
% 0.56/0.76 #||
% 0.56/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.76 % SZS output start Refutation
% See solution above
% 0.56/0.76 ||#
% 0.56/0.76
% 0.56/0.76 ; Summary of computation:
% 0.56/0.76 ; 2144 formulas have been input or derived (from 210 formulas).
% 0.56/0.76 ; 1152 (54%) were retained. Of these,
% 0.56/0.76 ; 35 ( 3%) were simplified or subsumed later,
% 0.56/0.76 ; 1117 (97%) are still being kept.
% 0.56/0.76 ;
% 0.56/0.76 ; Run time in seconds excluding printing time:
% 0.56/0.76 ; 0.031 11% Read assertion file (1 call)
% 0.56/0.76 ; 0.004 1% Assert (161 calls)
% 0.56/0.76 ; 0.089 32% Process new row (1,866 calls)
% 0.56/0.76 ; 0.057 20% Resolution (418 calls)
% 0.56/0.76 ; 0.006 2% Paramodulation (209 calls)
% 0.56/0.76 ; 0.000 0% Factoring (4 calls)
% 0.56/0.76 ; 0.004 1% Condensing (483 calls)
% 0.56/0.76 ; 0.013 5% Forward subsumption (483 calls)
% 0.56/0.76 ; 0.021 7% Backward subsumption (439 calls)
% 0.56/0.76 ; 0.000 0% Clause clause subsumption (368 calls)
% 0.56/0.76 ; 0.016 6% Forward simplification (1,866 calls)
% 0.56/0.76 ; 0.007 2% Backward simplification (1,118 calls)
% 0.56/0.76 ; 0.004 1% Ordering (923 calls)
% 0.56/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.76 ; 0.000 0% Purity testing (1 call)
% 0.56/0.76 ; 0.029 10% Other
% 0.56/0.76 ; 0.281 Total
% 0.56/0.76 ; 0.282 Real time
% 0.56/0.76 ;
% 0.56/0.76 ; Term-hash-array has 2,523 terms in all.
% 0.56/0.76 ; Feature-vector-row-index has 439 entries (439 at peak, 439 added, 0 deleted).
% 0.56/0.76 ; Feature-vector-row-index has 2,804 nodes (2,804 at peak, 2,804 added, 0 deleted).
% 0.56/0.76 ; Retrieved 348 possibly forward subsuming rows in 483 calls.
% 0.56/0.76 ; Retrieved 113 possibly backward subsumed rows in 439 calls.
% 0.56/0.76 ; Path-index has 2,541 entries (2,541 at peak, 2,542 added, 1 deleted).
% 0.56/0.76 ; Path-index has 5,742 nodes (5,742 at peak, 5,743 added, 1 deleted).
% 0.56/0.76 ; Trie-index has 2,541 entries (2,541 at peak, 2,542 added, 1 deleted).
% 0.56/0.76 ; Trie-index has 7,928 nodes (7,928 at peak, 7,929 added, 1 deleted).
% 0.56/0.76 ; Retrieved 1,260 generalization terms in 4,809 calls.
% 0.56/0.76 ; Retrieved 719 instance terms in 681 calls.
% 0.56/0.76 ; Retrieved 60,650 unifiable terms in 3,158 calls.
% 0.56/0.76 ;
% 0.56/0.76 ; The agenda of rows to process has 90 entries:
% 0.56/0.76 ; 5 with value 12 28 with value 16 2 with value 19
% 0.56/0.76 ; 1 with value 13 1 with value 17 2 with value 20
% 0.56/0.76 ; 24 with value 14 2 with value 18 1 with value 23
% 0.56/0.76 ; 24 with value 15
% 0.56/0.76 ; The agenda of rows to give has 907 entries:
% 0.56/0.76 ; 10 with value (4 8) 8 with value (4 23) 3 with value (4 38)
% 0.56/0.76 ; 44 with value (4 9) 9 with value (4 24) 3 with value (4 39)
% 0.56/0.76 ; 60 with value (4 10) 3 with value (4 25) 1 with value (4 41)
% 0.56/0.76 ; 75 with value (4 11) 14 with value (4 26) 3 with value (4 42)
% 0.56/0.76 ; 58 with value (4 12) 5 with value (4 27) 1 with value (4 43)
% 0.56/0.76 ; 55 with value (4 13) 2 with value (4 28) 1 with value (4 44)
% 0.56/0.76 ; 141 with value (4 14) 6 with value (4 29) 2 with value (4 45)
% 0.56/0.76 ; 93 with value (4 15) 3 with value (4 30) 6 with value (4 46)
% 0.56/0.76 ; 107 with value (4 16) 1 with value (4 31) 3 with value (4 49)
% 0.56/0.76 ; 20 with value (4 17) 4 with value (4 32) 1 with value (4 51)
% 0.56/0.76 ; 40 with value (4 18) 4 with value (4 33) 1 with value (4 53)
% 0.56/0.76 ; 53 with value (4 19) 9 with value (4 34) 1 with value (4 55)
% 0.56/0.76 ; 29 with value (4 20) 1 with value (4 35) 1 with value (4 57)
% 0.56/0.76 ; 9 with value (4 21) 1 with value (4 36) 1 with value (4 59)
% 0.56/0.76 ; 11 with value (4 22) 3 with value (4 37) 1 with value (4 63)
% 0.56/0.76 Evaluation took:
% 0.56/0.76 0.282 seconds of real time
% 0.56/0.76 0.259172 seconds of user run time
% 0.56/0.76 0.023308 seconds of system run time
% 0.56/0.76 [Run times include 0.012 seconds GC run time.]
% 0.56/0.76 0 calls to %EVAL
% 0.56/0.76 0 page faults and
% 0.56/0.76 18,414,336 bytes consed.
% 0.56/0.76 :PROOF-FOUND
% 0.56/0.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T06:34:30
% 0.56/0.76 :PROOF-FOUND
% 0.56/0.76 *
%------------------------------------------------------------------------------