%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET052-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 5 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 4 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(cartesian_product1,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(prove_corollary_1_to_cartesian_product_1,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_cartesian_product_1) ).
cnf(prove_corollary_1_to_cartesian_product_2,negated_conjecture,
~ member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_cartesian_product_2) ).
cnf(133,plain,
~ member(u,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_1_to_cartesian_product_2]) ).
cnf(158,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cartesian_product1,prove_corollary_1_to_cartesian_product_1]),133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET052-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 : Mon Jul 11 00:07:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T00:07:10
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T00:07:10
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 #||
% 0.20/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.54 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 217 formulas have been input or derived (from 49 formulas).
% 0.20/0.54 ; 158 (73%) were retained. Of these,
% 0.20/0.54 ; 16 (10%) were simplified or subsumed later,
% 0.20/0.54 ; 142 (90%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds excluding printing time:
% 0.20/0.54 ; 0.022 26% Read assertion file (1 call)
% 0.20/0.54 ; 0.003 4% Assert (93 calls)
% 0.20/0.54 ; 0.007 8% Process new row (189 calls)
% 0.20/0.54 ; 0.004 5% Resolution (96 calls)
% 0.20/0.54 ; 0.000 0% Paramodulation (48 calls)
% 0.20/0.54 ; 0.000 0% Factoring (2 calls)
% 0.20/0.54 ; 0.002 2% Condensing (96 calls)
% 0.20/0.54 ; 0.003 4% Forward subsumption (96 calls)
% 0.20/0.54 ; 0.005 6% Backward subsumption (89 calls)
% 0.20/0.54 ; 0.002 2% Clause clause subsumption (43 calls)
% 0.20/0.54 ; 0.004 5% Forward simplification (189 calls)
% 0.20/0.54 ; 0.001 1% Backward simplification (146 calls)
% 0.20/0.54 ; 0.001 1% Ordering (72 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.001 1% Purity testing (1 call)
% 0.20/0.54 ; 0.029 35% Other
% 0.20/0.54 ; 0.084 Total
% 0.20/0.54 ; 0.085 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 365 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 89 entries (89 at peak, 89 added, 0 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 462 nodes (462 at peak, 462 added, 0 deleted).
% 0.20/0.54 ; Retrieved 42 possibly forward subsuming rows in 96 calls.
% 0.20/0.54 ; Retrieved 8 possibly backward subsumed rows in 89 calls.
% 0.20/0.54 ; Path-index has 371 entries (371 at peak, 377 added, 6 deleted).
% 0.20/0.54 ; Path-index has 1,244 nodes (1,244 at peak, 1,249 added, 5 deleted).
% 0.20/0.54 ; Trie-index has 371 entries (371 at peak, 377 added, 6 deleted).
% 0.20/0.54 ; Trie-index has 1,087 nodes (1,087 at peak, 1,097 added, 10 deleted).
% 0.20/0.54 ; Retrieved 108 generalization terms in 401 calls.
% 0.20/0.54 ; Retrieved 77 instance terms in 56 calls.
% 0.20/0.54 ; Retrieved 1,594 unifiable terms in 292 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of input rows to give has 44 entries:
% 0.20/0.54 ; 7 with value 13 1 with value 19 2 with value 30
% 0.20/0.54 ; 6 with value 14 4 with value 20 1 with value 31
% 0.20/0.54 ; 6 with value 15 3 with value 21 1 with value 34
% 0.20/0.54 ; 2 with value 16 3 with value 22 2 with value 35
% 0.20/0.54 ; 3 with value 17 1 with value 27 1 with value 50
% 0.20/0.54 ; 1 with value 18
% 0.20/0.54 ; The agenda of rows to give has 50 entries:
% 0.20/0.54 ; 3 with value (4 5) 3 with value (4 12) 1 with value (4 18)
% 0.20/0.54 ; 4 with value (4 7) 6 with value (4 13) 5 with value (4 19)
% 0.20/0.54 ; 6 with value (4 8) 3 with value (4 15) 3 with value (4 20)
% 0.20/0.54 ; 2 with value (4 9) 4 with value (4 16) 1 with value (4 24)
% 0.20/0.55 ; 3 with value (4 10) 2 with value (4 17) 2 with value (4 30)
% 0.20/0.55 ; 2 with value (4 11)
% 0.20/0.55 Evaluation took:
% 0.20/0.55 0.086 seconds of real time
% 0.20/0.55 0.079525 seconds of user run time
% 0.20/0.55 0.005889 seconds of system run time
% 0.20/0.55 0 calls to %EVAL
% 0.20/0.55 0 page faults and
% 0.20/0.55 3,856,432 bytes consed.
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T00:07:10
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 *
%------------------------------------------------------------------------------