TSTP Solution File: GRP405-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 11:38:07 EDT 2022
% Result : Unsatisfiable 4.56s 4.72s
% Output : Refutation 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 2
% Syntax : Number of clauses : 92 ( 92 unt; 0 nHn; 2 RR)
% Number of literals : 92 ( 91 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 329 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(Y,multiply(inverse(Y),Y)))))) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(3,plain,
multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,multiply(inverse(Z),Z)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Z)),U)),Y)),inverse(multiply(U,multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),inverse(multiply(Y,multiply(inverse(Y),Y))))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(6,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(X,Y)),U))),inverse(multiply(Z,multiply(inverse(Z),Z))))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(35,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,multiply(inverse(Y),Y))))) = Z,
inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).
cnf(36,plain,
multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference('PARAMODULATE',[status(thm)],[5,35,theory(equality)]) ).
cnf(37,plain,
multiply(inverse(multiply(X,Y)),inverse(multiply(Z,inverse(multiply(multiply(X,Z),multiply(inverse(multiply(X,Z)),multiply(X,Z))))))) = inverse(multiply(Y,multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[single_axiom,35,theory(equality)]) ).
cnf(59,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),V)) = multiply(inverse(multiply(W,multiply(U,Z))),multiply(W,V)),
inference('PARAMODULATE',[status(thm)],[36,36,theory(equality)]) ).
cnf(60,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(U,Y)),multiply(U,V))) = multiply(inverse(multiply(W,Z)),multiply(W,multiply(X,V))),
inference('PARAMODULATE',[status(thm)],[36,36,theory(equality)]) ).
cnf(62,plain,
multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)) = multiply(inverse(multiply(V,inverse(multiply(Z,multiply(inverse(Z),Z))))),multiply(V,U)),
inference('PARAMODULATE',[status(thm)],[36,35,theory(equality)]) ).
cnf(143,plain,
multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,multiply(Y,U))) = multiply(inverse(multiply(V,multiply(W,Z))),multiply(V,multiply(W,U))),
inference('PARAMODULATE',[status(thm)],[59,60,theory(equality)]) ).
cnf(330,plain,
multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)) = multiply(V,multiply(inverse(multiply(inverse(multiply(W,Z)),multiply(W,V))),U)),
inference('PARAMODULATE',[status(thm)],[62,62,theory(equality)]) ).
cnf(499,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(Y,multiply(inverse(Y),Y)))) = Z,
inference('PARAMODULATE',[status(thm)],[5,37,theory(equality)]) ).
cnf(501,plain,
multiply(inverse(X),X) = multiply(Y,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),inverse(multiply(U,multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[330,499,theory(equality)]) ).
cnf(546,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[501,501,theory(equality)]) ).
cnf(650,plain,
X = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(X,multiply(inverse(X),X))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,501,theory(equality)]),single_axiom,499,theory(equality)]) ).
cnf(683,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference('PARAMODULATE',[status(thm)],[36,546,theory(equality)]) ).
cnf(684,plain,
multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,Y)),multiply(U,X)),
inference('PARAMODULATE',[status(thm)],[36,546,theory(equality)]) ).
cnf(685,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),multiply(inverse(inverse(Y)),inverse(Y))))) = Y,
inference('PARAMODULATE',[status(thm)],[499,546,theory(equality)]) ).
cnf(686,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(Y,multiply(inverse(U),U)))) = Z,
inference('PARAMODULATE',[status(thm)],[499,546,theory(equality)]) ).
cnf(687,plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),Z)))) = inverse(multiply(Y,multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[5,546,theory(equality)]) ).
cnf(688,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,multiply(inverse(U),U))))) = Z,
inference('PARAMODULATE',[status(thm)],[35,546,theory(equality)]) ).
cnf(690,plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(Y,multiply(inverse(U),U)))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,546,theory(equality)]) ).
cnf(714,plain,
multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,multiply(inverse(U),U)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Z)),V)),Y)),inverse(multiply(V,multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[3,546,theory(equality)]) ).
cnf(715,plain,
X = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(X,multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[650,546,theory(equality)]) ).
cnf(716,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[715,546,theory(equality)]) ).
cnf(718,plain,
inverse(multiply(inverse(X),Y)) = inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(inverse(multiply(U,Y)),multiply(U,X))))),
inference('PARAMODULATE',[status(thm)],[715,36,theory(equality)]) ).
cnf(723,plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[715,59,theory(equality)]),718,theory(equality)]) ).
cnf(735,plain,
multiply(inverse(X),X) = multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[546,683,theory(equality)]) ).
cnf(736,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(inverse(U),U)),multiply(inverse(Y),Z)),
inference('PARAMODULATE',[status(thm)],[683,683,theory(equality)]) ).
cnf(869,plain,
multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z)) = multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[684,684,theory(equality)]) ).
cnf(952,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[685,546,theory(equality)]) ).
cnf(953,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[952,735,theory(equality)]) ).
cnf(956,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),U)))) = multiply(inverse(U),Z),
inference('PARAMODULATE',[status(thm)],[952,683,theory(equality)]) ).
cnf(1065,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[953,716,theory(equality)]),956,theory(equality)]) ).
cnf(1139,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[953,1065,theory(equality)]),952,theory(equality)]) ).
cnf(1152,plain,
inverse(multiply(inverse(X),X)) = inverse(inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[716,1065,theory(equality)]),952,theory(equality)]) ).
cnf(1219,plain,
inverse(multiply(multiply(inverse(X),X),multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[1139,1139,theory(equality)]) ).
cnf(1220,plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[952,1139,theory(equality)]) ).
cnf(1223,plain,
multiply(multiply(inverse(X),X),multiply(inverse(Y),Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference('PARAMODULATE',[status(thm)],[683,1139,theory(equality)]) ).
cnf(1224,plain,
X = inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(X,multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[715,1139,theory(equality)]) ).
cnf(1307,plain,
inverse(multiply(inverse(X),X)) = inverse(inverse(inverse(multiply(inverse(Y),Y)))),
inference('PARAMODULATE',[status(thm)],[1152,1152,theory(equality)]) ).
cnf(1632,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(inverse(inverse(multiply(inverse(Y),Y)))),
inference('PARAMODULATE',[status(thm)],[1307,1307,theory(equality)]) ).
cnf(1693,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),multiply(inverse(U),U)))) = Z,
inference('PARAMODULATE',[status(thm)],[952,1307,theory(equality)]) ).
cnf(1955,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),inverse(multiply(multiply(inverse(Z),Z),multiply(inverse(U),U)))))) = Y,
inference('PARAMODULATE',[status(thm)],[952,1219,theory(equality)]) ).
cnf(2154,plain,
multiply(inverse(multiply(X,Y)),multiply(X,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,inverse(Y)))),V))) = multiply(inverse(multiply(W,multiply(X1,inverse(multiply(U,multiply(inverse(Y1),Y1)))))),multiply(W,multiply(X1,V))),
inference('PARAMODULATE',[status(thm)],[143,686,theory(equality)]) ).
cnf(2173,plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),Z)))) = inverse(multiply(Y,multiply(inverse(U),U))),
inference('PARAMODULATE',[status(thm)],[687,546,theory(equality)]) ).
cnf(2471,plain,
multiply(multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),multiply(inverse(U),U)))) = Z,
inference('PARAMODULATE',[status(thm)],[1220,1307,theory(equality)]) ).
cnf(3361,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = multiply(inverse(multiply(inverse(Z),Z)),Y),
inference('PARAMODULATE',[status(thm)],[736,952,theory(equality)]) ).
cnf(3362,plain,
multiply(multiply(inverse(X),X),Y) = multiply(inverse(multiply(inverse(Z),Z)),Y),
inference('PARAMODULATE',[status(thm)],[3361,1139,theory(equality)]) ).
cnf(3363,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),Y) = multiply(inverse(multiply(inverse(Z),Z)),Y),
inference('PARAMODULATE',[status(thm)],[3361,1139,theory(equality)]) ).
cnf(3413,plain,
multiply(multiply(inverse(X),X),Y) = multiply(inverse(inverse(multiply(inverse(Z),Z))),Y),
inference('PARAMODULATE',[status(thm)],[3362,1139,theory(equality)]) ).
cnf(3721,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[869,715,theory(equality)]) ).
cnf(3722,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[3721,1139,theory(equality)]) ).
cnf(4239,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),multiply(U,Z))),multiply(inverse(V),W)) = multiply(inverse(multiply(X1,V)),multiply(X1,W)),
inference('PARAMODULATE',[status(thm)],[1223,723,theory(equality)]) ).
cnf(4393,plain,
inverse(multiply(inverse(multiply(X,multiply(multiply(inverse(Y),Y),Z))),inverse(multiply(inverse(multiply(X,multiply(inverse(U),U))),multiply(inverse(V),V))))) = Z,
inference('PARAMODULATE',[status(thm)],[688,1224,theory(equality)]) ).
cnf(4434,plain,
X = inverse(multiply(multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,U))),multiply(inverse(multiply(V,Z)),multiply(V,U))),inverse(multiply(X,multiply(inverse(W),W))))),
inference('PARAMODULATE',[status(thm)],[1224,723,theory(equality)]) ).
cnf(5646,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(inverse(inverse(multiply(inverse(Z),Z)))),inverse(inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[3722,1632,theory(equality)]) ).
cnf(5753,plain,
inverse(multiply(X,multiply(inverse(Y),Y))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[2173,2173,theory(equality)]) ).
cnf(5775,plain,
X = inverse(multiply(multiply(inverse(Y),Y),multiply(inverse(multiply(Z,X)),multiply(Z,inverse(multiply(inverse(U),U)))))),
inference('PARAMODULATE',[status(thm)],[1224,2173,theory(equality)]) ).
cnf(5864,plain,
multiply(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,multiply(V,inverse(multiply(inverse(W),W))))),multiply(U,multiply(V,X))),
inference('PARAMODULATE',[status(thm)],[684,2173,theory(equality)]) ).
cnf(5923,plain,
multiply(inverse(multiply(inverse(X),multiply(Y,inverse(multiply(inverse(Z),Z))))),multiply(inverse(U),U)) = multiply(inverse(inverse(multiply(V,multiply(inverse(W),W)))),multiply(inverse(multiply(Y,V)),X)),
inference('PARAMODULATE',[status(thm)],[684,2173,theory(equality)]) ).
cnf(6024,plain,
multiply(multiply(inverse(X),X),multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),U)) = multiply(inverse(inverse(multiply(V,multiply(inverse(W),W)))),multiply(inverse(multiply(Y,V)),U)),
inference('PARAMODULATE',[status(thm)],[1223,2173,theory(equality)]) ).
cnf(6149,plain,
inverse(multiply(X,inverse(multiply(inverse(Y),Y)))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[5753,1139,theory(equality)]) ).
cnf(6485,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),multiply(U,Z))),V) = multiply(inverse(inverse(multiply(inverse(W),W))),V),
inference('PARAMODULATE',[status(thm)],[3413,723,theory(equality)]) ).
cnf(6750,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),Y) = multiply(inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,inverse(multiply(inverse(V),V))))),Y),
inference('PARAMODULATE',[status(thm)],[3363,6149,theory(equality)]) ).
cnf(6926,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(Y,Z)),inverse(multiply(inverse(multiply(Y,multiply(inverse(U),U))),multiply(inverse(V),V)))))) = Z,
inference('PARAMODULATE',[status(thm)],[690,715,theory(equality)]) ).
cnf(6933,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[690,735,theory(equality)]),1955,theory(equality)]) ).
cnf(6934,plain,
inverse(multiply(inverse(multiply(X,Y)),inverse(multiply(inverse(multiply(X,multiply(inverse(Z),Z))),multiply(inverse(U),U))))) = Y,
inference('REWRITE',[status(thm)],[6926,6933,theory(equality)]) ).
cnf(6935,plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference('REWRITE',[status(thm)],[4393,6934,theory(equality)]) ).
cnf(6950,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),Z) = multiply(inverse(inverse(multiply(U,multiply(inverse(V),V)))),multiply(inverse(multiply(X,U)),Z)),
inference('REWRITE',[status(thm)],[6024,6935,theory(equality)]) ).
cnf(6955,plain,
X = inverse(multiply(inverse(multiply(Y,X)),multiply(Y,inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[5775,6935,theory(equality)]) ).
cnf(6956,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),Y) = Y,
inference('REWRITE',[status(thm)],[6750,6935,6955,theory(equality)]) ).
cnf(6958,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),multiply(U,Z))),V) = V,
inference('REWRITE',[status(thm)],[6485,6956,theory(equality)]) ).
cnf(6959,plain,
X = inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[4434,6958,theory(equality)]) ).
cnf(6967,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),Z) = multiply(U,multiply(inverse(multiply(X,U)),Z)),
inference('REWRITE',[status(thm)],[6950,6959,theory(equality)]) ).
cnf(6969,plain,
multiply(inverse(multiply(inverse(X),multiply(Y,inverse(multiply(inverse(Z),Z))))),multiply(inverse(U),U)) = multiply(V,multiply(inverse(multiply(Y,V)),X)),
inference('REWRITE',[status(thm)],[5923,6959,theory(equality)]) ).
cnf(6976,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,multiply(U,inverse(multiply(inverse(V),V))))),multiply(Z,multiply(U,X))),
inference('REWRITE',[status(thm)],[5864,6959,theory(equality)]) ).
cnf(7004,plain,
multiply(inverse(X),Y) = multiply(inverse(multiply(Z,X)),multiply(Z,Y)),
inference('REWRITE',[status(thm)],[4239,6958,theory(equality)]) ).
cnf(7017,plain,
multiply(X,multiply(inverse(Y),Y)) = X,
inference('REWRITE',[status(thm)],[6976,6956,7004,theory(equality)]) ).
cnf(7022,plain,
inverse(multiply(inverse(X),multiply(Y,inverse(multiply(inverse(Z),Z))))) = multiply(U,multiply(inverse(multiply(Y,U)),X)),
inference('REWRITE',[status(thm)],[6969,7017,theory(equality)]) ).
cnf(7029,plain,
multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),inverse(inverse(Y))) = Y,
inference('REWRITE',[status(thm)],[1693,7017,theory(equality)]) ).
cnf(7030,plain,
multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(inverse(Y))) = Y,
inference('REWRITE',[status(thm)],[2471,7017,theory(equality)]) ).
cnf(7031,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[5646,7017,7030,theory(equality)]) ).
cnf(7032,plain,
inverse(multiply(inverse(X),Y)) = multiply(Z,multiply(inverse(multiply(Y,Z)),X)),
inference('REWRITE',[status(thm)],[7022,7031,theory(equality)]) ).
cnf(7039,plain,
multiply(inverse(X),Y) = inverse(multiply(inverse(Y),X)),
inference('REWRITE',[status(thm)],[6967,7032,7031,theory(equality)]) ).
cnf(7041,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[7029,6935,7039,theory(equality)]) ).
cnf(7060,plain,
multiply(X,inverse(multiply(inverse(Y),inverse(Z)))) = inverse(multiply(inverse(Y),inverse(multiply(X,Z)))),
inference('REWRITE',[status(thm)],[714,7032,7041,7039,7017,theory(equality)]) ).
cnf(7137,plain,
inverse(multiply(inverse(X),inverse(Y))) = multiply(Y,X),
inference('REWRITE',[status(thm)],[2154,7041,7017,7032,7004,theory(equality)]) ).
cnf(7164,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[7060,7137,theory(equality)]) ).
cnf(7165,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_3,7164,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 07:20:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T07:20:15
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-14T07:20:15
% 4.56/4.72
% 4.56/4.72
% 4.56/4.72 #||
% 4.56/4.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.56/4.72 % SZS output start Refutation
% See solution above
% 4.56/4.74 ||#
% 4.56/4.74
% 4.56/4.74 ; Summary of computation:
% 4.56/4.74 ; 27703 formulas have been input or derived (from 75 formulas).
% 4.56/4.74 ; 7165 (26%) were retained. Of these,
% 4.56/4.74 ; 7084 (99%) were simplified or subsumed later,
% 4.56/4.74 ; 81 ( 1%) are still being kept.
% 4.56/4.74 ;
% 4.56/4.74 ; Run time in seconds excluding printing time:
% 4.56/4.74 ; 0.001 0% Read assertion file (1 call)
% 4.56/4.74 ; 0.000 0% Assert (2 calls)
% 4.56/4.74 ; 1.006 24% Process new row (21,038 calls)
% 4.56/4.74 ; 0.010 0% Resolution (148 calls)
% 4.56/4.74 ; 0.566 13% Paramodulation (74 calls)
% 4.56/4.74 ; 1.363 32% Forward simplification (19,371 calls)
% 4.56/4.74 ; 1.139 27% Backward simplification (7,165 calls)
% 4.56/4.74 ; 0.105 2% Ordering (45,110 calls)
% 4.56/4.74 ; 0.000 0% Sortal reasoning (32 calls)
% 4.56/4.74 ; 0.000 0% Purity testing (1 call)
% 4.56/4.74 ; 0.075 2% Other
% 4.56/4.74 ; 4.265 Total
% 4.56/4.74 ; 4.285 Real time
% 4.56/4.75 ;
% 4.56/4.75 ; Term-hash-array has 19,855 terms in all.
% 4.56/4.75 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 4.56/4.75 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 4.56/4.75 ; Path-index has 460 entries (17,968 at peak, 20,253 added, 19,793 deleted).
% 4.56/4.75 ; Path-index has 10,775 nodes (15,313 at peak, 16,920 added, 6,145 deleted).
% 4.56/4.75 ; Trie-index has 460 entries (17,968 at peak, 20,253 added, 19,793 deleted).
% 4.56/4.75 ; Trie-index has 1,850 nodes (122,341 at peak, 138,138 added, 136,288 deleted).
% 4.56/4.75 ; Retrieved 50,578 generalization terms in 177,301 calls.
% 4.56/4.75 ; Retrieved 33,396 instance terms in 7,318 calls.
% 4.56/4.75 ; Retrieved 239,451 unifiable terms in 925 calls.
% 4.56/4.75 ;
% 4.56/4.75 ; The agenda of backward simplifiable rows to process has 5942 entries:
% 4.56/4.75 ; 5942 with value 0
% 4.56/4.75 ; The agenda of rows to process has 305 entries:
% 4.56/4.75 ; 29 with value 48 23 with value 54 5 with value 59
% 4.56/4.75 ; 19 with value 49 22 with value 55 4 with value 60
% 4.56/4.75 ; 25 with value 50 27 with value 56 8 with value 61
% 4.56/4.75 ; 27 with value 51 14 with value 57 5 with value 62
% 4.56/4.75 ; 39 with value 52 14 with value 58 6 with value 63
% 4.56/4.75 ; 38 with value 53
% 4.56/4.75 ; The agenda of rows to give has 79 entries:
% 4.56/4.75 ; 1 with value (4 20) 6 with value (4 30) 3 with value (4 41)
% 4.56/4.75 ; 2 with value (4 21) 4 with value (4 31) 2 with value (4 42)
% 4.56/4.75 ; 2 with value (4 22) 2 with value (4 32) 3 with value (4 43)
% 4.56/4.75 ; 4 with value (4 23) 3 with value (4 33) 3 with value (4 44)
% 4.56/4.75 ; 3 with value (4 24) 1 with value (4 34) 2 with value (4 45)
% 4.56/4.75 ; 3 with value (4 25) 2 with value (4 35) 1 with value (4 46)
% 4.56/4.75 ; 2 with value (4 26) 7 with value (4 36) 2 with value (4 47)
% 4.56/4.75 ; 3 with value (4 27) 4 with value (4 37) 4 with value (4 48)
% 4.56/4.75 ; 1 with value (4 28) 1 with value (4 39) 1 with value (4 49)
% 4.56/4.75 ; 3 with value (4 29) 3 with value (4 40) 1 with value (4 50)
% 4.56/4.75 Evaluation took:
% 4.56/4.75 4.286 seconds of real time
% 4.56/4.75 3.983576 seconds of user run time
% 4.56/4.75 0.302403 seconds of system run time
% 4.56/4.75 [Run times include 0.698 seconds GC run time.]
% 4.56/4.75 0 calls to %EVAL
% 4.56/4.75 0 page faults and
% 4.56/4.75 296,780,160 bytes consed.
% 4.56/4.75 :PROOF-FOUND
% 4.56/4.75 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T07:20:20
% 4.56/4.75 :PROOF-FOUND
% 4.56/4.75 *
%------------------------------------------------------------------------------