TSTP Solution File: SET166-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET166-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 05:08:00 EDT 2022
% Result : Unsatisfiable 0.49s 0.68s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 11 unt; 1 nHn; 12 RR)
% Number of literals : 22 ( 1 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 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(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(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
cnf(prove_members_of_union1_1,negated_conjecture,
member(x,union(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union1_1) ).
cnf(128,plain,
member(x,complement(intersection(complement(y),complement(z)))),
inference('REWRITE',[status(thm)],[prove_members_of_union1_1,union,theory(equality)]) ).
cnf(prove_members_of_union1_2,negated_conjecture,
~ member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union1_2) ).
cnf(prove_members_of_union1_3,negated_conjecture,
~ member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union1_3) ).
cnf(191,plain,
member(x,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,128,class_elements_are_sets]) ).
cnf(192,plain,
~ member(x,intersection(complement(y),complement(z))),
inference('UR-RESOLVE',[status(thm)],[complement1,128]) ).
cnf(321,plain,
member(x,complement(y)),
inference('UR-RESOLVE',[status(thm)],[complement2,191,prove_members_of_union1_2]) ).
cnf(322,plain,
member(x,complement(z)),
inference('UR-RESOLVE',[status(thm)],[complement2,191,prove_members_of_union1_3]) ).
cnf(867,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,322,321]),192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET166-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 07:36:20 EDT 2022
% 0.12/0.34 % 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 2022-07-11T07:36:20
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-11T07:36:20
% 0.49/0.68
% 0.49/0.68
% 0.49/0.68 #||
% 0.49/0.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.68 % SZS output start Refutation
% See solution above
% 0.49/0.70 ||#
% 0.49/0.70
% 0.49/0.70 ; Summary of computation:
% 0.49/0.70 ; 1713 formulas have been input or derived (from 149 formulas).
% 0.49/0.70 ; 867 (51%) were retained. Of these,
% 0.49/0.70 ; 17 ( 2%) were simplified or subsumed later,
% 0.49/0.70 ; 850 (98%) are still being kept.
% 0.49/0.70 ;
% 0.49/0.70 ; Run time in seconds excluding printing time:
% 0.49/0.70 ; 0.021 11% Read assertion file (1 call)
% 0.49/0.70 ; 0.004 2% Assert (115 calls)
% 0.49/0.70 ; 0.067 34% Process new row (1,494 calls)
% 0.49/0.70 ; 0.031 16% Resolution (296 calls)
% 0.49/0.70 ; 0.002 1% Paramodulation (148 calls)
% 0.49/0.70 ; 0.000 0% Factoring (3 calls)
% 0.49/0.70 ; 0.001 1% Condensing (269 calls)
% 0.49/0.70 ; 0.005 3% Forward subsumption (269 calls)
% 0.49/0.70 ; 0.004 2% Backward subsumption (252 calls)
% 0.49/0.70 ; 0.000 0% Clause clause subsumption (143 calls)
% 0.49/0.70 ; 0.021 11% Forward simplification (1,494 calls)
% 0.49/0.70 ; 0.004 2% Backward simplification (851 calls)
% 0.49/0.70 ; 0.003 2% Ordering (507 calls)
% 0.49/0.70 ; 0.001 1% Sortal reasoning (32 calls)
% 0.49/0.70 ; 0.000 0% Purity testing (1 call)
% 0.49/0.70 ; 0.035 18% Other
% 0.49/0.70 ; 0.199 Total
% 0.49/0.70 ; 0.214 Real time
% 0.49/0.70 ;
% 0.49/0.70 ; Term-hash-array has 1,818 terms in all.
% 0.49/0.70 ; Feature-vector-row-index has 252 entries (252 at peak, 252 added, 0 deleted).
% 0.49/0.70 ; Feature-vector-row-index has 1,639 nodes (1,639 at peak, 1,639 added, 0 deleted).
% 0.49/0.70 ; Retrieved 138 possibly forward subsuming rows in 269 calls.
% 0.49/0.70 ; Retrieved 44 possibly backward subsumed rows in 252 calls.
% 0.49/0.70 ; Path-index has 1,832 entries (1,832 at peak, 1,833 added, 1 deleted).
% 0.49/0.70 ; Path-index has 3,962 nodes (3,962 at peak, 3,963 added, 1 deleted).
% 0.49/0.70 ; Trie-index has 1,832 entries (1,832 at peak, 1,833 added, 1 deleted).
% 0.49/0.70 ; Trie-index has 5,739 nodes (5,739 at peak, 5,740 added, 1 deleted).
% 0.49/0.70 ; Retrieved 1,042 generalization terms in 3,705 calls.
% 0.49/0.70 ; Retrieved 622 instance terms in 598 calls.
% 0.49/0.70 ; Retrieved 37,314 unifiable terms in 2,138 calls.
% 0.49/0.70 ;
% 0.49/0.70 ; The agenda of rows to process has 86 entries:
% 0.49/0.70 ; 7 with value 13 24 with value 16 6 with value 19
% 0.49/0.70 ; 16 with value 14 1 with value 17 4 with value 21
% 0.49/0.70 ; 28 with value 15
% 0.49/0.70 ; The agenda of rows to give has 701 entries:
% 0.49/0.70 ; 4 with value (4 8) 24 with value (4 21) 3 with value (4 34)
% 0.49/0.70 ; 24 with value (4 9) 4 with value (4 22) 2 with value (4 37)
% 0.49/0.70 ; 49 with value (4 10) 10 with value (4 23) 1 with value (4 43)
% 0.49/0.70 ; 61 with value (4 11) 7 with value (4 24) 1 with value (4 44)
% 0.49/0.70 ; 51 with value (4 12) 3 with value (4 25) 1 with value (4 45)
% 0.49/0.70 ; 43 with value (4 13) 5 with value (4 26) 4 with value (4 46)
% 0.49/0.70 ; 110 with value (4 14) 1 with value (4 27) 2 with value (4 49)
% 0.49/0.70 ; 92 with value (4 15) 2 with value (4 28) 1 with value (4 51)
% 0.49/0.70 ; 93 with value (4 16) 3 with value (4 29) 1 with value (4 53)
% 0.49/0.70 ; 14 with value (4 17) 3 with value (4 30) 1 with value (4 55)
% 0.49/0.70 ; 23 with value (4 18) 1 with value (4 31) 1 with value (4 59)
% 0.49/0.70 ; 37 with value (4 19) 1 with value (4 32) 1 with value (4 63)
% 0.49/0.70 ; 15 with value (4 20) 2 with value (4 33)
% 0.49/0.70 Evaluation took:
% 0.49/0.70 0.215 seconds of real time
% 0.49/0.70 0.192009 seconds of user run time
% 0.49/0.70 0.023018 seconds of system run time
% 0.49/0.70 [Run times include 0.013 seconds GC run time.]
% 0.49/0.70 0 calls to %EVAL
% 0.49/0.70 0 page faults and
% 0.49/0.70 13,090,608 bytes consed.
% 0.49/0.70 :PROOF-FOUND
% 0.49/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:36:21
% 0.49/0.70 :PROOF-FOUND
% 0.49/0.70 *
%------------------------------------------------------------------------------