%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET167-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 1 nHn; 11 RR)
% Number of literals : 20 ( 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 : 14 ( 3 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(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
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_union2_1,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union2_1) ).
cnf(prove_members_of_union2_2,negated_conjecture,
~ member(x,union(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union2_2) ).
cnf(129,plain,
~ member(x,complement(intersection(complement(y),complement(z)))),
inference('REWRITE',[status(thm)],[prove_members_of_union2_2,union,theory(equality)]) ).
cnf(134,plain,
~ member(x,complement(y)),
inference('UR-RESOLVE',[status(thm)],[complement1,prove_members_of_union2_1]) ).
cnf(155,plain,
member(x,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_members_of_union2_1]) ).
cnf(327,plain,
member(x,intersection(complement(y),complement(z))),
inference('UR-RESOLVE',[status(thm)],[complement2,155,129]) ).
cnf(395,plain,
~ member(x,intersection(complement(y),X)),
inference('UR-RESOLVE',[status(thm)],[intersection1,134]) ).
cnf(396,plain,
$false,
inference('REWRITE',[status(thm)],[327,395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SET167-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 02:00:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 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 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:00:41
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T02:00:41
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 #||
% 0.41/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.59 % SZS output start Refutation
% See solution above
% 0.41/0.59 ||#
% 0.41/0.59
% 0.41/0.59 ; Summary of computation:
% 0.41/0.59 ; 700 formulas have been input or derived (from 121 formulas).
% 0.41/0.59 ; 396 (57%) were retained. Of these,
% 0.41/0.59 ; 18 ( 5%) were simplified or subsumed later,
% 0.41/0.59 ; 378 (95%) are still being kept.
% 0.41/0.59 ;
% 0.41/0.59 ; Run time in seconds excluding printing time:
% 0.41/0.59 ; 0.021 16% Read assertion file (1 call)
% 0.41/0.59 ; 0.004 3% Assert (114 calls)
% 0.41/0.59 ; 0.028 22% Process new row (637 calls)
% 0.41/0.59 ; 0.015 12% Resolution (240 calls)
% 0.41/0.59 ; 0.006 5% Paramodulation (120 calls)
% 0.41/0.59 ; 0.000 0% Factoring (3 calls)
% 0.41/0.59 ; 0.002 2% Condensing (215 calls)
% 0.41/0.59 ; 0.005 4% Forward subsumption (215 calls)
% 0.41/0.59 ; 0.003 2% Backward subsumption (198 calls)
% 0.41/0.59 ; 0.001 1% Clause clause subsumption (111 calls)
% 0.41/0.59 ; 0.009 7% Forward simplification (637 calls)
% 0.41/0.59 ; 0.004 3% Backward simplification (380 calls)
% 0.41/0.59 ; 0.000 0% Ordering (395 calls)
% 0.41/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.59 ; 0.000 0% Purity testing (1 call)
% 0.41/0.59 ; 0.030 23% Other
% 0.41/0.59 ; 0.128 Total
% 0.41/0.59 ; 0.130 Real time
% 0.41/0.59 ;
% 0.41/0.59 ; Term-hash-array has 986 terms in all.
% 0.41/0.59 ; Feature-vector-row-index has 198 entries (198 at peak, 198 added, 0 deleted).
% 0.41/0.59 ; Feature-vector-row-index has 1,353 nodes (1,353 at peak, 1,353 added, 0 deleted).
% 0.41/0.59 ; Retrieved 113 possibly forward subsuming rows in 215 calls.
% 0.41/0.59 ; Retrieved 29 possibly backward subsumed rows in 198 calls.
% 0.41/0.59 ; Path-index has 999 entries (1,000 at peak, 1,001 added, 2 deleted).
% 0.41/0.59 ; Path-index has 3,271 nodes (3,272 at peak, 3,273 added, 2 deleted).
% 0.41/0.59 ; Trie-index has 999 entries (1,000 at peak, 1,001 added, 2 deleted).
% 0.41/0.59 ; Trie-index has 3,392 nodes (3,394 at peak, 3,395 added, 3 deleted).
% 0.41/0.59 ; Retrieved 479 generalization terms in 1,694 calls.
% 0.41/0.59 ; Retrieved 206 instance terms in 181 calls.
% 0.41/0.59 ; Retrieved 11,372 unifiable terms in 1,129 calls.
% 0.41/0.59 ;
% 0.41/0.59 ; The agenda of rows to process has 3 entries:
% 0.41/0.59 ; 1 with value 11 2 with value 13
% 0.41/0.59 ; The agenda of rows to give has 257 entries:
% 0.41/0.59 ; 3 with value (4 7) 5 with value (4 20) 3 with value (4 34)
% 0.41/0.59 ; 15 with value (4 8) 4 with value (4 21) 2 with value (4 37)
% 0.41/0.59 ; 14 with value (4 9) 4 with value (4 22) 1 with value (4 43)
% 0.41/0.59 ; 19 with value (4 10) 5 with value (4 23) 1 with value (4 44)
% 0.41/0.59 ; 21 with value (4 11) 5 with value (4 24) 1 with value (4 45)
% 0.41/0.59 ; 19 with value (4 12) 5 with value (4 26) 4 with value (4 46)
% 0.41/0.59 ; 27 with value (4 13) 1 with value (4 27) 2 with value (4 49)
% 0.41/0.59 ; 15 with value (4 14) 2 with value (4 28) 1 with value (4 51)
% 0.41/0.59 ; 14 with value (4 15) 3 with value (4 29) 1 with value (4 53)
% 0.41/0.59 ; 16 with value (4 16) 3 with value (4 30) 1 with value (4 55)
% 0.41/0.59 ; 9 with value (4 17) 1 with value (4 31) 1 with value (4 59)
% 0.41/0.59 ; 13 with value (4 18) 1 with value (4 32) 1 with value (4 63)
% 0.41/0.59 ; 12 with value (4 19) 2 with value (4 33)
% 0.41/0.59 Evaluation took:
% 0.41/0.59 0.131 seconds of real time
% 0.41/0.59 0.120479 seconds of user run time
% 0.41/0.59 0.010074 seconds of system run time
% 0.41/0.59 0 calls to %EVAL
% 0.41/0.59 0 page faults and
% 0.41/0.59 8,275,632 bytes consed.
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:00:41
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 *
%------------------------------------------------------------------------------