TSTP Solution File: SET204-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET204-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:08:20 EDT 2022
% Result : Unsatisfiable 0.42s 0.57s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(cartesian_product3,axiom,
( ~ member(X,Y)
| ~ member(Z,U)
| member(ordered_pair(X,Z),cross_product(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(prove_cross_product_property2_1,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property2_1) ).
cnf(prove_cross_product_property2_2,negated_conjecture,
~ member(ordered_pair(v,u),cross_product(y,x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property2_2) ).
cnf(189,plain,
member(u,x),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product1,prove_cross_product_property2_1]) ).
cnf(191,plain,
member(v,y),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product2,prove_cross_product_property2_1]) ).
cnf(311,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cartesian_product3,189,prove_cross_product_property2_2]),191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET204-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 11 03:46:13 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:46:13
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-11T03:46:13
% 0.42/0.57
% 0.42/0.57
% 0.42/0.57 #||
% 0.42/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.57 % SZS output start Refutation
% See solution above
% 0.42/0.58 ||#
% 0.42/0.58
% 0.42/0.58 ; Summary of computation:
% 0.42/0.58 ; 553 formulas have been input or derived (from 117 formulas).
% 0.42/0.58 ; 311 (56%) were retained. Of these,
% 0.42/0.58 ; 17 ( 5%) were simplified or subsumed later,
% 0.42/0.58 ; 294 (95%) are still being kept.
% 0.42/0.58 ;
% 0.42/0.58 ; Run time in seconds:
% 0.42/0.58 ; 0.021 18% Read assertion file (1 call)
% 0.42/0.58 ; 0.004 3% Assert (114 calls)
% 0.42/0.58 ; 0.031 26% Process new row (474 calls)
% 0.42/0.58 ; 0.007 6% Resolution (232 calls)
% 0.42/0.58 ; 0.004 3% Paramodulation (116 calls)
% 0.42/0.58 ; 0.000 0% Factoring (3 calls)
% 0.42/0.58 ; 0.002 2% Condensing (198 calls)
% 0.42/0.58 ; 0.006 5% Forward subsumption (198 calls)
% 0.42/0.58 ; 0.008 7% Backward subsumption (181 calls)
% 0.42/0.58 ; 0.001 1% Clause clause subsumption (105 calls)
% 0.42/0.58 ; 0.009 8% Forward simplification (474 calls)
% 0.42/0.58 ; 0.000 0% Backward simplification (296 calls)
% 0.42/0.58 ; 0.002 2% Ordering (375 calls)
% 0.42/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.58 ; 0.000 0% Purity testing (1 call)
% 0.42/0.58 ; 0.025 21% Other
% 0.42/0.58 ; 0.120 Total
% 0.42/0.58 ; 0.120 Real time
% 0.42/0.58 ;
% 0.42/0.58 ; Term-hash-array has 851 terms in all.
% 0.42/0.58 ; Feature-vector-row-index has 181 entries (181 at peak, 181 added, 0 deleted).
% 0.42/0.58 ; Feature-vector-row-index has 1,300 nodes (1,300 at peak, 1,300 added, 0 deleted).
% 0.42/0.58 ; Retrieved 107 possibly forward subsuming rows in 198 calls.
% 0.42/0.58 ; Retrieved 23 possibly backward subsumed rows in 181 calls.
% 0.42/0.58 ; Path-index has 865 entries (865 at peak, 867 added, 2 deleted).
% 0.42/0.58 ; Path-index has 3,194 nodes (3,194 at peak, 3,195 added, 1 deleted).
% 0.42/0.58 ; Trie-index has 865 entries (865 at peak, 867 added, 2 deleted).
% 0.42/0.58 ; Trie-index has 3,167 nodes (3,167 at peak, 3,169 added, 2 deleted).
% 0.42/0.58 ; Retrieved 376 generalization terms in 1,393 calls.
% 0.42/0.58 ; Retrieved 139 instance terms in 114 calls.
% 0.42/0.58 ; Retrieved 8,697 unifiable terms in 964 calls.
% 0.42/0.58 ;
% 0.42/0.58 ; The agenda of rows to process has 25 entries:
% 0.42/0.58 ; 1 with value 8 1 with value 13 4 with value 16
% 0.42/0.58 ; 1 with value 9 4 with value 14 2 with value 17
% 0.42/0.58 ; 12 with value 11
% 0.42/0.58 ; The agenda of rows to give has 177 entries:
% 0.42/0.58 ; 1 with value (4 5) 13 with value (4 19) 2 with value (4 33)
% 0.42/0.58 ; 2 with value (4 6) 7 with value (4 20) 3 with value (4 34)
% 0.42/0.58 ; 4 with value (4 7) 3 with value (4 21) 2 with value (4 37)
% 0.42/0.58 ; 9 with value (4 8) 4 with value (4 22) 1 with value (4 43)
% 0.42/0.58 ; 4 with value (4 9) 4 with value (4 23) 1 with value (4 44)
% 0.42/0.58 ; 6 with value (4 10) 5 with value (4 24) 1 with value (4 45)
% 0.42/0.58 ; 8 with value (4 11) 5 with value (4 26) 4 with value (4 46)
% 0.42/0.58 ; 6 with value (4 12) 1 with value (4 27) 2 with value (4 49)
% 0.42/0.58 ; 16 with value (4 13) 2 with value (4 28) 1 with value (4 51)
% 0.42/0.58 ; 7 with value (4 14) 3 with value (4 29) 1 with value (4 53)
% 0.42/0.58 ; 13 with value (4 15) 3 with value (4 30) 1 with value (4 55)
% 0.42/0.58 ; 12 with value (4 16) 1 with value (4 31) 1 with value (4 59)
% 0.42/0.58 ; 9 with value (4 17) 1 with value (4 32) 1 with value (4 63)
% 0.42/0.58 ; 7 with value (4 18)
% 0.42/0.58 Evaluation took:
% 0.42/0.58 0.121 seconds of real time
% 0.42/0.58 0.106659 seconds of user run time
% 0.42/0.58 0.014077 seconds of system run time
% 0.42/0.58 0 calls to %EVAL
% 0.42/0.58 0 page faults and
% 0.42/0.58 7,222,440 bytes consed.
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T03:46:13
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 *
%------------------------------------------------------------------------------