TSTP Solution File: GRP596-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Sat Jul 16 11:39:35 EDT 2022
% Result : Unsatisfiable 0.45s 0.63s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 3 RR)
% Number of literals : 38 ( 37 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(Z,Y)))))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(4,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,multiply,theory(equality)]) ).
cnf(5,plain,
inverse(double_divide(double_divide(double_divide(X,Y),inverse(double_divide(Z,Y))),Z)) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
inverse(double_divide(double_divide(X,inverse(double_divide(Y,inverse(double_divide(Z,U))))),inverse(double_divide(X,Z)))) = double_divide(Y,U),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(8,plain,
inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,Z)))) = double_divide(double_divide(Z,U),inverse(double_divide(Y,U))),
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(15,plain,
double_divide(double_divide(inverse(double_divide(X,Y)),Z),inverse(double_divide(Y,Z))) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,8,theory(equality)]) ).
cnf(16,plain,
double_divide(double_divide(X,Y),inverse(double_divide(Z,Y))) = double_divide(double_divide(X,U),inverse(double_divide(Z,U))),
inference('PARAMODULATE',[status(thm)],[8,8,theory(equality)]) ).
cnf(17,plain,
inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,Z)))),Y)) = Z,
inference('PARAMODULATE',[status(thm)],[5,8,theory(equality)]) ).
cnf(25,plain,
inverse(double_divide(double_divide(double_divide(X,Y),Z),U)) = double_divide(double_divide(inverse(double_divide(X,inverse(double_divide(U,Y)))),V),inverse(double_divide(Z,V))),
inference('PARAMODULATE',[status(thm)],[8,single_axiom,theory(equality)]) ).
cnf(44,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),Z),Z),inverse(X))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,15,theory(equality)]) ).
cnf(50,plain,
double_divide(double_divide(X,Y),inverse(double_divide(inverse(double_divide(Z,inverse(double_divide(X,U)))),Y))) = double_divide(Z,U),
inference('PARAMODULATE',[status(thm)],[15,single_axiom,theory(equality)]) ).
cnf(87,plain,
inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,Y)))),Z)) = Z,
inference('PARAMODULATE',[status(thm)],[17,16,theory(equality)]) ).
cnf(93,plain,
inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,Z)))),U),Z)),U)) = Y,
inference('PARAMODULATE',[status(thm)],[17,17,theory(equality)]) ).
cnf(110,plain,
double_divide(double_divide(X,inverse(Y)),Z) = double_divide(double_divide(X,U),inverse(double_divide(double_divide(double_divide(inverse(double_divide(Y,Z)),V),V),U))),
inference('PARAMODULATE',[status(thm)],[16,44,theory(equality)]) ).
cnf(112,plain,
inverse(double_divide(double_divide(X,double_divide(double_divide(inverse(double_divide(Y,Z)),U),U)),inverse(double_divide(X,V)))) = double_divide(double_divide(V,inverse(Y)),Z),
inference('PARAMODULATE',[status(thm)],[8,44,theory(equality)]) ).
cnf(122,plain,
inverse(double_divide(inverse(double_divide(X,inverse(X))),Y)) = Y,
inference('PARAMODULATE',[status(thm)],[87,15,theory(equality)]) ).
cnf(129,plain,
inverse(double_divide(double_divide(double_divide(X,Y),Y),inverse(inverse(double_divide(Z,inverse(Z)))))) = X,
inference('PARAMODULATE',[status(thm)],[44,122,theory(equality)]) ).
cnf(133,plain,
double_divide(double_divide(X,Y),Y) = double_divide(double_divide(X,Z),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,122,theory(equality)]),122,theory(equality)]) ).
cnf(146,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),inverse(X)),Z),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[44,133,theory(equality)]) ).
cnf(151,plain,
double_divide(X,inverse(double_divide(Y,Z))) = double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),Z),U),U),
inference('PARAMODULATE',[status(thm)],[133,15,theory(equality)]) ).
cnf(152,plain,
inverse(double_divide(X,inverse(double_divide(Y,inverse(X))))) = Y,
inference('REWRITE',[status(thm)],[146,151,theory(equality)]) ).
cnf(170,plain,
inverse(double_divide(double_divide(X,inverse(Y)),X)) = Y,
inference('PARAMODULATE',[status(thm)],[152,152,theory(equality)]) ).
cnf(172,plain,
X = inverse(double_divide(X,inverse(inverse(double_divide(Y,inverse(Y)))))),
inference('PARAMODULATE',[status(thm)],[122,152,theory(equality)]) ).
cnf(173,plain,
double_divide(double_divide(X,Y),Y) = X,
inference('REWRITE',[status(thm)],[129,172,theory(equality)]) ).
cnf(182,plain,
double_divide(X,inverse(double_divide(Y,Z))) = double_divide(inverse(double_divide(X,Y)),Z),
inference('REWRITE',[status(thm)],[151,173,theory(equality)]) ).
cnf(187,plain,
inverse(inverse(double_divide(double_divide(X,Y),X))) = Y,
inference('REWRITE',[status(thm)],[93,173,25,182,theory(equality)]) ).
cnf(203,plain,
double_divide(double_divide(X,inverse(Y)),Z) = double_divide(double_divide(X,U),inverse(double_divide(inverse(double_divide(Y,Z)),U))),
inference('REWRITE',[status(thm)],[110,173,theory(equality)]) ).
cnf(204,plain,
double_divide(double_divide(X,inverse(Y)),inverse(double_divide(X,Z))) = double_divide(Y,Z),
inference('REWRITE',[status(thm)],[50,203,theory(equality)]) ).
cnf(206,plain,
inverse(double_divide(double_divide(X,inverse(double_divide(Y,Z))),Y)) = double_divide(X,Z),
inference('REWRITE',[status(thm)],[6,204,theory(equality)]) ).
cnf(210,plain,
inverse(double_divide(double_divide(X,Y),Z)) = double_divide(double_divide(Z,inverse(X)),Y),
inference('REWRITE',[status(thm)],[112,204,173,theory(equality)]) ).
cnf(215,plain,
inverse(inverse(double_divide(double_divide(double_divide(X,Y),X),Z))) = double_divide(Z,Y),
inference('REWRITE',[status(thm)],[206,210,theory(equality)]) ).
cnf(222,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[170,173,210,theory(equality)]) ).
cnf(234,plain,
double_divide(double_divide(double_divide(X,Y),X),Z) = double_divide(Z,Y),
inference('REWRITE',[status(thm)],[215,222,theory(equality)]) ).
cnf(251,plain,
double_divide(double_divide(X,Y),X) = Y,
inference('REWRITE',[status(thm)],[187,222,theory(equality)]) ).
cnf(252,plain,
double_divide(X,Y) = double_divide(Y,X),
inference('REWRITE',[status(thm)],[234,251,theory(equality)]) ).
cnf(274,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,252,theory(equality)]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.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 : Mon Jun 13 11:09:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/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 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T11:09:57
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-13T11:09:57
% 0.45/0.63
% 0.45/0.63
% 0.45/0.63 #||
% 0.45/0.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.63 % SZS output start Refutation
% See solution above
% 0.45/0.63 ||#
% 0.45/0.63
% 0.45/0.63 ; Summary of computation:
% 0.45/0.63 ; 579 formulas have been input or derived (from 16 formulas).
% 0.45/0.63 ; 274 (47%) were retained. Of these,
% 0.45/0.63 ; 172 (63%) were simplified or subsumed later,
% 0.45/0.63 ; 102 (37%) are still being kept.
% 0.45/0.63 ;
% 0.45/0.63 ; Run time in seconds excluding printing time:
% 0.45/0.63 ; 0.001 1% Read assertion file (1 call)
% 0.45/0.63 ; 0.000 0% Assert (3 calls)
% 0.45/0.63 ; 0.029 20% Process new row (547 calls)
% 0.45/0.63 ; 0.000 0% Resolution (30 calls)
% 0.45/0.63 ; 0.013 9% Paramodulation (15 calls)
% 0.45/0.63 ; 0.028 19% Forward simplification (488 calls)
% 0.45/0.63 ; 0.027 19% Backward simplification (273 calls)
% 0.47/0.63 ; 0.021 14% Ordering (2,040 calls)
% 0.47/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.63 ; 0.000 0% Purity testing (1 call)
% 0.47/0.63 ; 0.026 18% Other
% 0.47/0.63 ; 0.145 Total
% 0.47/0.63 ; 0.149 Real time
% 0.47/0.63 ;
% 0.47/0.63 ; Term-hash-array has 1,147 terms in all.
% 0.47/0.63 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.47/0.63 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.47/0.63 ; Path-index has 477 entries (827 at peak, 1,215 added, 738 deleted).
% 0.47/0.63 ; Path-index has 2,104 nodes (2,399 at peak, 2,634 added, 530 deleted).
% 0.47/0.63 ; Trie-index has 477 entries (827 at peak, 1,215 added, 738 deleted).
% 0.47/0.63 ; Trie-index has 2,104 nodes (4,228 at peak, 5,517 added, 3,413 deleted).
% 0.47/0.63 ; Retrieved 1,345 generalization terms in 4,374 calls.
% 0.47/0.63 ; Retrieved 2,119 instance terms in 317 calls.
% 0.47/0.63 ; Retrieved 2,204 unifiable terms in 132 calls.
% 0.47/0.63 ;
% 0.47/0.63 ; The agenda of rows to process has 31 entries:
% 0.47/0.63 ; 3 with value 14 12 with value 25 12 with value 26
% 0.47/0.63 ; 4 with value 22
% 0.47/0.63 ; The agenda of rows to give has 95 entries:
% 0.47/0.63 ; 1 with value (4 14) 4 with value (4 26) 3 with value (4 33)
% 0.47/0.63 ; 2 with value (4 16) 6 with value (4 27) 3 with value (4 34)
% 0.47/0.63 ; 1 with value (4 20) 5 with value (4 28) 6 with value (4 35)
% 0.47/0.63 ; 1 with value (4 21) 4 with value (4 29) 6 with value (4 36)
% 0.47/0.63 ; 10 with value (4 22) 7 with value (4 30) 1 with value (4 37)
% 0.47/0.63 ; 1 with value (4 23) 8 with value (4 31) 4 with value (4 38)
% 0.47/0.63 ; 7 with value (4 24) 7 with value (4 32) 3 with value (4 39)
% 0.47/0.63 ; 5 with value (4 25)
% 0.47/0.63 Evaluation took:
% 0.47/0.63 0.149 seconds of real time
% 0.47/0.63 0.133066 seconds of user run time
% 0.47/0.63 0.016169 seconds of system run time
% 0.47/0.63 0 calls to %EVAL
% 0.47/0.63 0 page faults and
% 0.47/0.63 11,881,808 bytes consed.
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T11:09:57
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 *
%------------------------------------------------------------------------------