TSTP Solution File: SET108-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET108-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:07:28 EDT 2022
% Result : Unsatisfiable 0.40s 0.55s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 2 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cartesian_product4,axiom,
( ~ member(X,cross_product(Y,Z))
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(prove_existence_of_1st_and_2nd_1_1,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).
cnf(prove_existence_of_1st_and_2nd_1_2,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).
cnf(210,plain,
ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))) = ordered_pair(y,z),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product4,prove_existence_of_1st_and_2nd_1_1]) ).
cnf(211,plain,
$false,
inference('REWRITE',[status(thm)],[prove_existence_of_1st_and_2nd_1_2,prove_existence_of_1st_and_2nd_1_1,210,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET108-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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 18:03:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-10T18:03:32
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T18:03:32
% 0.40/0.55
% 0.40/0.55
% 0.40/0.55 #||
% 0.40/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.55 % SZS output start Refutation
% See solution above
% 0.40/0.56 ||#
% 0.40/0.56
% 0.40/0.56 ; Summary of computation:
% 0.40/0.56 ; 339 formulas have been input or derived (from 71 formulas).
% 0.40/0.56 ; 211 (62%) were retained. Of these,
% 0.40/0.56 ; 15 ( 7%) were simplified or subsumed later,
% 0.40/0.56 ; 196 (93%) are still being kept.
% 0.40/0.56 ;
% 0.40/0.56 ; Run time in seconds excluding printing time:
% 0.40/0.56 ; 0.017 18% Read assertion file (1 call)
% 0.40/0.56 ; 0.003 3% Assert (93 calls)
% 0.40/0.56 ; 0.026 28% Process new row (300 calls)
% 0.40/0.56 ; 0.010 11% Resolution (140 calls)
% 0.40/0.56 ; 0.002 2% Paramodulation (70 calls)
% 0.40/0.56 ; 0.000 0% Factoring (3 calls)
% 0.40/0.56 ; 0.000 0% Condensing (126 calls)
% 0.40/0.56 ; 0.000 0% Forward subsumption (126 calls)
% 0.40/0.56 ; 0.002 2% Backward subsumption (115 calls)
% 0.40/0.56 ; 0.000 0% Clause clause subsumption (67 calls)
% 0.40/0.56 ; 0.002 2% Forward simplification (300 calls)
% 0.40/0.56 ; 0.000 0% Backward simplification (199 calls)
% 0.40/0.56 ; 0.003 3% Ordering (231 calls)
% 0.40/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.40/0.56 ; 0.000 0% Purity testing (1 call)
% 0.40/0.56 ; 0.026 28% Other
% 0.40/0.56 ; 0.092 Total
% 0.40/0.56 ; 0.093 Real time
% 0.40/0.56 ;
% 0.40/0.56 ; Term-hash-array has 515 terms in all.
% 0.40/0.56 ; Feature-vector-row-index has 115 entries (115 at peak, 115 added, 0 deleted).
% 0.40/0.56 ; Feature-vector-row-index has 588 nodes (588 at peak, 588 added, 0 deleted).
% 0.40/0.56 ; Retrieved 62 possibly forward subsuming rows in 126 calls.
% 0.40/0.56 ; Retrieved 15 possibly backward subsumed rows in 115 calls.
% 0.40/0.56 ; Path-index has 522 entries (523 at peak, 525 added, 3 deleted).
% 0.40/0.56 ; Path-index has 1,884 nodes (1,888 at peak, 1,889 added, 5 deleted).
% 0.40/0.56 ; Trie-index has 522 entries (523 at peak, 525 added, 3 deleted).
% 0.40/0.56 ; Trie-index has 1,764 nodes (1,775 at peak, 1,777 added, 13 deleted).
% 0.40/0.56 ; Retrieved 236 generalization terms in 778 calls.
% 0.40/0.56 ; Retrieved 102 instance terms in 83 calls.
% 0.40/0.56 ; Retrieved 3,879 unifiable terms in 478 calls.
% 0.40/0.56 ;
% 0.40/0.56 ; The agenda of rows to process has 1 entry:
% 0.40/0.56 ; 1 with value 29
% 0.40/0.56 ; The agenda of input rows to give has 21 entries:
% 0.40/0.56 ; 1 with value 17 3 with value 21 1 with value 31
% 0.40/0.56 ; 1 with value 18 3 with value 22 1 with value 34
% 0.40/0.56 ; 1 with value 19 1 with value 27 2 with value 35
% 0.40/0.56 ; 4 with value 20 2 with value 30 1 with value 50
% 0.40/0.56 ; The agenda of rows to give has 104 entries:
% 0.40/0.56 ; 4 with value (4 5) 5 with value (4 14) 2 with value (4 21)
% 0.40/0.56 ; 4 with value (4 7) 10 with value (4 15) 1 with value (4 22)
% 0.40/0.56 ; 7 with value (4 8) 7 with value (4 16) 1 with value (4 23)
% 0.40/0.56 ; 2 with value (4 9) 5 with value (4 17) 4 with value (4 24)
% 0.40/0.56 ; 5 with value (4 10) 7 with value (4 18) 2 with value (4 26)
% 0.40/0.56 ; 5 with value (4 11) 8 with value (4 19) 1 with value (4 29)
% 0.40/0.56 ; 4 with value (4 12) 6 with value (4 20) 3 with value (4 30)
% 0.40/0.56 ; 11 with value (4 13)
% 0.40/0.56 Evaluation took:
% 0.40/0.56 0.094 seconds of real time
% 0.40/0.56 0.087128 seconds of user run time
% 0.40/0.56 0.006828 seconds of system run time
% 0.40/0.56 0 calls to %EVAL
% 0.40/0.56 0 page faults and
% 0.40/0.56 4,667,832 bytes consed.
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T18:03:32
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 *
%------------------------------------------------------------------------------