%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET051-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:06:28 EDT 2022
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 0 equ; 7 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pair3,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(prove_corollary_2_to_unordered_pair_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_unordered_pair_1) ).
cnf(prove_corollary_2_to_unordered_pair_2,negated_conjecture,
~ member(y,unordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_unordered_pair_2) ).
cnf(123,plain,
~ member(y,universal_class),
inference('UR-RESOLVE',[status(thm)],[unordered_pair3,prove_corollary_2_to_unordered_pair_2]) ).
cnf(160,plain,
member(y,v),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product2,prove_corollary_2_to_unordered_pair_1]) ).
cnf(264,plain,
~ member(y,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,123,class_elements_are_sets]) ).
cnf(265,plain,
$false,
inference('REWRITE',[status(thm)],[160,264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET051-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n017.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 : Sat Jul 9 15:37:02 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T15:37:02
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-09T15:37:02
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 453 formulas have been input or derived (from 96 formulas).
% 0.42/0.59 ; 265 (58%) were retained. Of these,
% 0.42/0.59 ; 19 ( 7%) were simplified or subsumed later,
% 0.42/0.59 ; 246 (93%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds:
% 0.42/0.59 ; 0.017 16% Read assertion file (1 call)
% 0.42/0.59 ; 0.002 2% Assert (93 calls)
% 0.42/0.59 ; 0.022 20% Process new row (403 calls)
% 0.42/0.59 ; 0.011 10% Resolution (190 calls)
% 0.42/0.59 ; 0.004 4% Paramodulation (95 calls)
% 0.42/0.59 ; 0.000 0% Factoring (3 calls)
% 0.42/0.59 ; 0.000 0% Condensing (163 calls)
% 0.42/0.59 ; 0.008 7% Forward subsumption (163 calls)
% 0.42/0.59 ; 0.004 4% Backward subsumption (150 calls)
% 0.42/0.59 ; 0.000 0% Clause clause subsumption (85 calls)
% 0.42/0.59 ; 0.009 8% Forward simplification (403 calls)
% 0.42/0.59 ; 0.004 4% Backward simplification (253 calls)
% 0.42/0.59 ; 0.001 1% Ordering (314 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.000 0% Purity testing (1 call)
% 0.42/0.59 ; 0.026 24% Other
% 0.42/0.59 ; 0.108 Total
% 0.42/0.59 ; 0.109 Real time
% 0.42/0.59 ;
% 0.42/0.60 ; Term-hash-array has 723 terms in all.
% 0.42/0.60 ; Feature-vector-row-index has 150 entries (150 at peak, 150 added, 0 deleted).
% 0.42/0.60 ; Feature-vector-row-index has 1,043 nodes (1,043 at peak, 1,043 added, 0 deleted).
% 0.42/0.60 ; Retrieved 76 possibly forward subsuming rows in 163 calls.
% 0.42/0.60 ; Retrieved 20 possibly backward subsumed rows in 150 calls.
% 0.42/0.60 ; Path-index has 726 entries (733 at peak, 735 added, 9 deleted).
% 0.42/0.60 ; Path-index has 2,691 nodes (2,702 at peak, 2,703 added, 12 deleted).
% 0.42/0.60 ; Trie-index has 726 entries (733 at peak, 735 added, 9 deleted).
% 0.42/0.60 ; Trie-index has 2,590 nodes (2,611 at peak, 2,613 added, 23 deleted).
% 0.42/0.60 ; Retrieved 325 generalization terms in 1,180 calls.
% 0.42/0.60 ; Retrieved 126 instance terms in 102 calls.
% 0.42/0.60 ; Retrieved 6,408 unifiable terms in 751 calls.
% 0.42/0.60 ;
% 0.42/0.60 ; The agenda of rows to process has 6 entries:
% 0.42/0.60 ; 1 with value 6 3 with value 9 2 with value 11
% 0.42/0.60 ; The agenda of rows to give has 152 entries:
% 0.42/0.60 ; 1 with value (4 5) 7 with value (4 18) 2 with value (4 33)
% 0.42/0.60 ; 2 with value (4 6) 12 with value (4 19) 2 with value (4 34)
% 0.42/0.60 ; 4 with value (4 7) 6 with value (4 20) 2 with value (4 37)
% 0.42/0.60 ; 8 with value (4 8) 2 with value (4 21) 1 with value (4 43)
% 0.42/0.60 ; 3 with value (4 9) 3 with value (4 22) 1 with value (4 44)
% 0.42/0.60 ; 5 with value (4 10) 4 with value (4 23) 1 with value (4 45)
% 0.42/0.60 ; 9 with value (4 11) 5 with value (4 24) 3 with value (4 46)
% 0.42/0.60 ; 5 with value (4 12) 4 with value (4 26) 1 with value (4 49)
% 0.42/0.60 ; 14 with value (4 13) 3 with value (4 29) 1 with value (4 51)
% 0.42/0.60 ; 7 with value (4 14) 3 with value (4 30) 1 with value (4 53)
% 0.42/0.60 ; 10 with value (4 15) 1 with value (4 31) 1 with value (4 59)
% 0.42/0.60 ; 9 with value (4 16) 1 with value (4 32) 1 with value (4 63)
% 0.42/0.60 ; 7 with value (4 17)
% 0.42/0.60 Evaluation took:
% 0.42/0.60 0.109 seconds of real time
% 0.42/0.60 0.094245 seconds of user run time
% 0.42/0.60 0.014928 seconds of system run time
% 0.42/0.60 0 calls to %EVAL
% 0.42/0.60 0 page faults and
% 0.42/0.60 6,178,440 bytes consed.
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T15:37:02
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 *
%------------------------------------------------------------------------------