TSTP Solution File: SET062-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET062-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:06:40 EDT 2022
% Result : Unsatisfiable 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 3 nHn; 8 RR)
% Number of literals : 18 ( 3 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 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 : 10 ( 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(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(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_null_class_is_subclass_1,negated_conjecture,
~ subclass(null_class,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_subclass_1) ).
cnf(119,plain,
member(not_subclass_element(null_class,x),null_class),
inference('HYPERRESOLVE',[status(thm)],[prove_null_class_is_subclass_1,not_subclass_members1]) ).
cnf(131,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(353,plain,
member(not_subclass_element(null_class,x),universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,119,class_elements_are_sets]) ).
cnf(816,plain,
~ member(not_subclass_element(null_class,x),complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,353]) ).
cnf(2619,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,131,regularity1]) ).
cnf(2685,plain,
$false,
inference('REWRITE',[status(thm)],[816,119,2619,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET062-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 01:18:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:18:42
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T01:18:42
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 #||
% 0.77/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.93 % SZS output start Refutation
% See solution above
% 0.77/0.93 ||#
% 0.77/0.93
% 0.77/0.93 ; Summary of computation:
% 0.77/0.93 ; 5514 formulas have been input or derived (from 181 formulas).
% 0.77/0.93 ; 2685 (49%) were retained. Of these,
% 0.77/0.93 ; 231 ( 9%) were simplified or subsumed later,
% 0.77/0.93 ; 2454 (91%) are still being kept.
% 0.77/0.93 ;
% 0.77/0.93 ; Run time in seconds excluding printing time:
% 0.77/0.93 ; 0.017 4% Read assertion file (1 call)
% 0.77/0.93 ; 0.003 1% Assert (92 calls)
% 0.77/0.93 ; 0.160 34% Process new row (4,992 calls)
% 0.77/0.93 ; 0.115 25% Resolution (360 calls)
% 0.77/0.93 ; 0.004 1% Paramodulation (180 calls)
% 0.77/0.93 ; 0.000 0% Factoring (4 calls)
% 0.77/0.93 ; 0.003 1% Condensing (348 calls)
% 0.77/0.93 ; 0.017 4% Forward subsumption (348 calls)
% 0.77/0.93 ; 0.005 1% Backward subsumption (335 calls)
% 0.77/0.93 ; 0.000 0% Clause clause subsumption (232 calls)
% 0.77/0.93 ; 0.054 12% Forward simplification (4,992 calls)
% 0.77/0.93 ; 0.042 9% Backward simplification (2,673 calls)
% 0.77/0.93 ; 0.002 0% Ordering (737 calls)
% 0.77/0.93 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.93 ; 0.000 0% Purity testing (1 call)
% 0.77/0.93 ; 0.043 9% Other
% 0.77/0.93 ; 0.465 Total
% 0.77/0.93 ; 0.466 Real time
% 0.77/0.93 ;
% 0.77/0.93 ; Term-hash-array has 4,477 terms in all.
% 0.77/0.93 ; Feature-vector-row-index has 324 entries (332 at peak, 335 added, 11 deleted).
% 0.77/0.93 ; Feature-vector-row-index has 1,905 nodes (1,960 at peak, 1,980 added, 75 deleted).
% 0.77/0.93 ; Retrieved 211 possibly forward subsuming rows in 348 calls.
% 0.77/0.93 ; Retrieved 81 possibly backward subsumed rows in 335 calls.
% 0.77/0.93 ; Path-index has 4,188 entries (4,416 at peak, 4,517 added, 329 deleted).
% 0.77/0.93 ; Path-index has 4,192 nodes (4,238 at peak, 4,264 added, 72 deleted).
% 0.77/0.93 ; Trie-index has 4,188 entries (4,416 at peak, 4,517 added, 329 deleted).
% 0.77/0.93 ; Trie-index has 12,053 nodes (12,695 at peak, 12,861 added, 808 deleted).
% 0.77/0.93 ; Retrieved 3,502 generalization terms in 12,127 calls.
% 0.77/0.93 ; Retrieved 2,356 instance terms in 2,337 calls.
% 0.77/0.93 ; Retrieved 179,375 unifiable terms in 4,714 calls.
% 0.77/0.93 ;
% 0.77/0.93 ; The agenda of backward simplifiable rows to process has 152 entries:
% 0.77/0.93 ; 152 with value 0
% 0.77/0.93 ; The agenda of rows to process has 105 entries:
% 0.77/0.93 ; 1 with value 8 3 with value 16 10 with value 20
% 0.77/0.93 ; 1 with value 12 4 with value 17 42 with value 21
% 0.77/0.93 ; 1 with value 13 8 with value 18 5 with value 22
% 0.77/0.93 ; 6 with value 14 20 with value 19 1 with value 27
% 0.77/0.93 ; 3 with value 15
% 0.77/0.93 ; The agenda of rows to give has 2290 entries:
% 0.77/0.93 ; 1 with value (4 5) 271 with value (4 19) 1 with value (4 32)
% 0.77/0.93 ; 1 with value (4 6) 143 with value (4 20) 2 with value (4 33)
% 0.77/0.93 ; 3 with value (4 7) 52 with value (4 21) 2 with value (4 34)
% 0.77/0.93 ; 7 with value (4 8) 6 with value (4 22) 2 with value (4 37)
% 0.77/0.93 ; 11 with value (4 9) 9 with value (4 23) 1 with value (4 43)
% 0.77/0.93 ; 10 with value (4 10) 11 with value (4 24) 1 with value (4 44)
% 0.77/0.93 ; 51 with value (4 11) 5 with value (4 25) 1 with value (4 45)
% 0.77/0.93 ; 77 with value (4 12) 7 with value (4 26) 3 with value (4 46)
% 0.77/0.93 ; 93 with value (4 13) 1 with value (4 27) 1 with value (4 49)
% 0.77/0.93 ; 167 with value (4 14) 7 with value (4 28) 1 with value (4 51)
% 0.77/0.93 ; 127 with value (4 15) 10 with value (4 29) 1 with value (4 53)
% 0.77/0.93 ; 328 with value (4 16) 3 with value (4 30) 1 with value (4 59)
% 0.77/0.93 ; 342 with value (4 17) 1 with value (4 31) 1 with value (4 63)
% 0.77/0.93 ; 528 with value (4 18)
% 0.77/0.93 Evaluation took:
% 0.77/0.93 0.467 seconds of real time
% 0.77/0.93 0.432658 seconds of user run time
% 0.77/0.93 0.033945 seconds of system run time
% 0.77/0.93 [Run times include 0.03 seconds GC run time.]
% 0.77/0.93 0 calls to %EVAL
% 0.77/0.93 0 page faults and
% 0.77/0.93 31,394,408 bytes consed.
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:18:42
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 *
%------------------------------------------------------------------------------