TSTP Solution File: SET193-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET193-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:08:13 EDT 2022
% Result : Unsatisfiable 0.78s 0.97s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 2 nHn; 11 RR)
% Number of literals : 21 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 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(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(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(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(prove_subclass_property10_1,negated_conjecture,
subclass(complement(y),complement(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property10_1) ).
cnf(prove_subclass_property10_2,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property10_2) ).
cnf(144,plain,
member(not_subclass_element(x,y),x),
inference('HYPERRESOLVE',[status(thm)],[prove_subclass_property10_2,not_subclass_members1]) ).
cnf(145,plain,
~ member(not_subclass_element(x,y),y),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_subclass_property10_2]) ).
cnf(405,plain,
member(not_subclass_element(x,y),universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,144,class_elements_are_sets]) ).
cnf(406,plain,
~ member(not_subclass_element(x,y),complement(x)),
inference('UR-RESOLVE',[status(thm)],[complement1,144]) ).
cnf(826,plain,
member(not_subclass_element(x,y),complement(y)),
inference('UR-RESOLVE',[status(thm)],[complement2,405,145]) ).
cnf(2374,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[subclass_members,406,prove_subclass_property10_1]),826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET193-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 06:49:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:49:07
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T06:49:07
% 0.78/0.97
% 0.78/0.97
% 0.78/0.97 #||
% 0.78/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.97 % SZS output start Refutation
% See solution above
% 0.78/0.97 ||#
% 0.78/0.97
% 0.78/0.97 ; Summary of computation:
% 0.78/0.97 ; 4757 formulas have been input or derived (from 180 formulas).
% 0.78/0.97 ; 2374 (50%) were retained. Of these,
% 0.78/0.97 ; 16 ( 1%) were simplified or subsumed later,
% 0.78/0.97 ; 2358 (99%) are still being kept.
% 0.78/0.97 ;
% 0.78/0.97 ; Run time in seconds excluding printing time:
% 0.78/0.97 ; 0.021 4% Read assertion file (1 call)
% 0.78/0.97 ; 0.001 0% Assert (114 calls)
% 0.78/0.97 ; 0.158 33% Process new row (4,508 calls)
% 0.78/0.97 ; 0.117 25% Resolution (358 calls)
% 0.78/0.97 ; 0.003 1% Paramodulation (179 calls)
% 0.78/0.97 ; 0.000 0% Factoring (3 calls)
% 0.78/0.97 ; 0.002 0% Condensing (372 calls)
% 0.78/0.97 ; 0.011 2% Forward subsumption (372 calls)
% 0.78/0.97 ; 0.014 3% Backward subsumption (355 calls)
% 0.78/0.97 ; 0.000 0% Clause clause subsumption (238 calls)
% 0.78/0.97 ; 0.079 17% Forward simplification (4,508 calls)
% 0.78/0.97 ; 0.022 5% Backward simplification (2,359 calls)
% 0.78/0.97 ; 0.003 1% Ordering (726 calls)
% 0.78/0.97 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/0.97 ; 0.000 0% Purity testing (1 call)
% 0.78/0.97 ; 0.046 10% Other
% 0.78/0.97 ; 0.477 Total
% 0.78/0.97 ; 0.478 Real time
% 0.78/0.97 ;
% 0.78/0.97 ; Term-hash-array has 4,166 terms in all.
% 0.78/0.97 ; Feature-vector-row-index has 355 entries (355 at peak, 355 added, 0 deleted).
% 0.78/0.97 ; Feature-vector-row-index has 2,174 nodes (2,174 at peak, 2,174 added, 0 deleted).
% 0.78/0.97 ; Retrieved 213 possibly forward subsuming rows in 372 calls.
% 0.78/0.97 ; Retrieved 78 possibly backward subsumed rows in 355 calls.
% 0.78/0.97 ; Path-index has 4,179 entries (4,179 at peak, 4,180 added, 1 deleted).
% 0.78/0.97 ; Path-index has 4,788 nodes (4,788 at peak, 4,789 added, 1 deleted).
% 0.78/0.97 ; Trie-index has 4,179 entries (4,179 at peak, 4,180 added, 1 deleted).
% 0.78/0.97 ; Trie-index has 12,655 nodes (12,655 at peak, 12,656 added, 1 deleted).
% 0.78/0.97 ; Retrieved 3,231 generalization terms in 11,366 calls.
% 0.78/0.97 ; Retrieved 2,029 instance terms in 2,003 calls.
% 0.78/0.97 ; Retrieved 160,138 unifiable terms in 4,383 calls.
% 0.78/0.97 ;
% 0.78/0.97 ; The agenda of rows to process has 7 entries:
% 0.78/0.97 ; 1 with value 11 3 with value 14 2 with value 16
% 0.78/0.97 ; 1 with value 13
% 0.78/0.97 ; The agenda of rows to give has 2178 entries:
% 0.78/0.97 ; 2 with value (4 9) 6 with value (4 22) 3 with value (4 34)
% 0.78/0.97 ; 10 with value (4 10) 9 with value (4 23) 2 with value (4 37)
% 0.78/0.97 ; 38 with value (4 11) 11 with value (4 24) 1 with value (4 43)
% 0.78/0.97 ; 81 with value (4 12) 4 with value (4 25) 1 with value (4 44)
% 0.78/0.97 ; 96 with value (4 13) 8 with value (4 26) 1 with value (4 45)
% 0.78/0.97 ; 133 with value (4 14) 2 with value (4 27) 4 with value (4 46)
% 0.78/0.97 ; 117 with value (4 15) 9 with value (4 28) 2 with value (4 49)
% 0.78/0.97 ; 293 with value (4 16) 10 with value (4 29) 1 with value (4 51)
% 0.78/0.97 ; 280 with value (4 17) 3 with value (4 30) 1 with value (4 53)
% 0.78/0.97 ; 532 with value (4 18) 1 with value (4 31) 1 with value (4 55)
% 0.78/0.97 ; 295 with value (4 19) 1 with value (4 32) 1 with value (4 59)
% 0.78/0.97 ; 160 with value (4 20) 2 with value (4 33) 1 with value (4 63)
% 0.78/0.97 ; 56 with value (4 21)
% 0.78/0.97 Evaluation took:
% 0.78/0.97 0.479 seconds of real time
% 0.78/0.97 0.441615 seconds of user run time
% 0.78/0.97 0.037436 seconds of system run time
% 0.78/0.97 [Run times include 0.036 seconds GC run time.]
% 0.78/0.97 0 calls to %EVAL
% 0.78/0.97 0 page faults and
% 0.78/0.97 29,102,120 bytes consed.
% 0.78/0.97 :PROOF-FOUND
% 0.78/0.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:49:08
% 0.78/0.97 :PROOF-FOUND
% 0.78/0.97 *
%------------------------------------------------------------------------------