TSTP Solution File: GRP472-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP472-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 11:39:02 EDT 2022
% Result : Unsatisfiable 1.38s 1.57s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 3
% Syntax : Number of clauses : 126 ( 126 unt; 0 nHn; 3 RR)
% Number of literals : 126 ( 125 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 633 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(inverse(divide(X,Y)),divide(divide(Z,U),X)),divide(U,Z)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(4,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference('REWRITE',[status(thm)],[prove_these_axioms_1,multiply,theory(equality)]) ).
cnf(5,plain,
divide(divide(inverse(divide(divide(X,Y),Z)),U),divide(divide(divide(Y,X),V),inverse(divide(V,U)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
divide(divide(inverse(divide(X,Y)),divide(Z,X)),divide(divide(U,V),divide(inverse(divide(W,Z)),divide(divide(V,U),W)))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
divide(divide(inverse(X),divide(divide(Y,Z),divide(inverse(divide(U,X)),divide(divide(V,W),U)))),divide(Z,Y)) = divide(W,V),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(8,plain,
divide(divide(inverse(divide(X,Y)),divide(divide(divide(Z,U),divide(inverse(divide(V,W)),divide(divide(U,Z),V))),X)),W) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(9,plain,
divide(divide(inverse(X),Y),divide(divide(divide(divide(divide(Z,U),V),inverse(divide(V,X))),W),inverse(divide(W,Y)))) = divide(U,Z),
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(15,plain,
divide(divide(inverse(X),Y),divide(divide(divide(Z,inverse(divide(divide(U,V),X))),W),inverse(divide(W,Y)))) = divide(divide(divide(V,U),X1),inverse(divide(X1,Z))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(62,plain,
divide(X,Y) = divide(divide(Z,U),divide(inverse(V),divide(divide(U,Z),divide(inverse(divide(W,V)),divide(divide(X,Y),W))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]),7,theory(equality)]) ).
cnf(76,plain,
divide(divide(inverse(X),divide(divide(divide(Y,Z),divide(inverse(divide(U,V)),divide(divide(Z,Y),U))),divide(inverse(divide(divide(W,X1),X)),Y1))),V) = divide(divide(divide(X1,W),Z1),inverse(divide(Z1,Y1))),
inference('PARAMODULATE',[status(thm)],[8,5,theory(equality)]) ).
cnf(103,plain,
X = divide(divide(Y,Z),divide(inverse(U),divide(divide(Z,Y),divide(inverse(divide(V,U)),divide(X,V))))),
inference('PARAMODULATE',[status(thm)],[62,8,theory(equality)]) ).
cnf(104,plain,
X = divide(divide(divide(divide(divide(X,Y),inverse(divide(Y,Z))),U),inverse(divide(U,V))),divide(inverse(Z),V)),
inference('PARAMODULATE',[status(thm)],[103,single_axiom,theory(equality)]) ).
cnf(133,plain,
divide(divide(inverse(X),divide(divide(divide(Y,Z),divide(inverse(divide(U,V)),divide(divide(Z,Y),U))),divide(W,X1))),V) = divide(inverse(Y1),divide(divide(X1,W),divide(inverse(divide(Z1,Y1)),divide(X,Z1)))),
inference('PARAMODULATE',[status(thm)],[8,103,theory(equality)]) ).
cnf(155,plain,
divide(divide(X,Y),inverse(divide(Y,Z))) = divide(divide(X,inverse(divide(divide(inverse(Z),U),V))),divide(inverse(U),V)),
inference('PARAMODULATE',[status(thm)],[104,104,theory(equality)]) ).
cnf(190,plain,
divide(X,Y) = divide(divide(divide(divide(Z,inverse(divide(divide(inverse(U),divide(divide(Y,X),divide(inverse(divide(V,U)),divide(Z,V)))),W))),X1),inverse(divide(X1,Y1))),divide(inverse(W),Y1)),
inference('PARAMODULATE',[status(thm)],[104,103,theory(equality)]) ).
cnf(231,plain,
divide(divide(inverse(X),Y),divide(divide(divide(Z,inverse(divide(divide(divide(U,V),divide(inverse(divide(W,X1)),divide(divide(V,U),W))),X))),Y1),inverse(divide(Y1,Y)))) = divide(divide(X1,Z1),inverse(divide(Z1,Z))),
inference('PARAMODULATE',[status(thm)],[9,6,theory(equality)]) ).
cnf(250,plain,
divide(divide(X,Y),inverse(divide(Y,Z))) = divide(divide(X,U),inverse(divide(U,Z))),
inference('PARAMODULATE',[status(thm)],[155,155,theory(equality)]) ).
cnf(259,plain,
divide(divide(inverse(divide(inverse(divide(X,Y)),Z)),divide(divide(U,inverse(divide(divide(inverse(Y),V),W))),divide(inverse(V),W))),divide(X,U)) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,155,theory(equality)]) ).
cnf(263,plain,
divide(X,inverse(divide(divide(Y,Z),U))) = divide(divide(divide(inverse(divide(V,X)),divide(divide(Z,Y),V)),inverse(divide(divide(inverse(U),W),X1))),divide(inverse(W),X1)),
inference('PARAMODULATE',[status(thm)],[155,single_axiom,theory(equality)]) ).
cnf(268,plain,
divide(divide(X,divide(inverse(divide(Y,Z)),divide(divide(U,V),Y))),inverse(Z)) = divide(divide(X,inverse(divide(divide(inverse(divide(V,U)),W),X1))),divide(inverse(W),X1)),
inference('PARAMODULATE',[status(thm)],[155,single_axiom,theory(equality)]) ).
cnf(270,plain,
divide(divide(inverse(divide(divide(X,Y),inverse(divide(Y,Z)))),divide(divide(U,V),divide(X,inverse(divide(divide(inverse(Z),W),X1))))),divide(V,U)) = divide(inverse(W),X1),
inference('PARAMODULATE',[status(thm)],[single_axiom,155,theory(equality)]) ).
cnf(295,plain,
divide(X,inverse(divide(divide(inverse(Y),divide(divide(Z,U),divide(inverse(divide(V,Y)),divide(X,V)))),W))) = divide(divide(divide(U,Z),inverse(divide(divide(inverse(W),X1),Y1))),divide(inverse(X1),Y1)),
inference('PARAMODULATE',[status(thm)],[155,103,theory(equality)]) ).
cnf(311,plain,
divide(divide(X,divide(inverse(divide(divide(Y,Z),U)),V)),inverse(U)) = divide(divide(X,inverse(divide(divide(inverse(divide(divide(divide(Z,Y),W),inverse(divide(W,V)))),X1),Y1))),divide(inverse(X1),Y1)),
inference('PARAMODULATE',[status(thm)],[155,5,theory(equality)]) ).
cnf(323,plain,
divide(divide(inverse(divide(X,Y)),divide(divide(divide(Z,U),divide(inverse(divide(inverse(divide(Z,V)),W)),divide(divide(U,inverse(divide(divide(inverse(V),X1),Y1))),divide(inverse(X1),Y1)))),X)),W) = Y,
inference('PARAMODULATE',[status(thm)],[8,155,theory(equality)]) ).
cnf(327,plain,
divide(divide(X,Y),inverse(divide(divide(Z,U),V))) = divide(divide(divide(inverse(W),divide(divide(U,Z),divide(inverse(divide(X1,W)),divide(divide(Y,X),X1)))),inverse(divide(divide(inverse(V),Y1),Z1))),divide(inverse(Y1),Z1)),
inference('PARAMODULATE',[status(thm)],[155,7,theory(equality)]) ).
cnf(329,plain,
divide(divide(X,divide(inverse(Y),divide(divide(Z,U),divide(inverse(divide(V,Y)),divide(divide(W,X1),V))))),inverse(divide(X1,W))) = divide(divide(X,inverse(divide(divide(inverse(divide(U,Z)),Y1),Z1))),divide(inverse(Y1),Z1)),
inference('PARAMODULATE',[status(thm)],[155,7,theory(equality)]) ).
cnf(337,plain,
divide(divide(X,divide(inverse(divide(Y,Z)),divide(divide(divide(U,V),divide(inverse(divide(W,X1)),divide(divide(V,U),W))),Y))),inverse(Z)) = divide(divide(X,inverse(divide(divide(inverse(X1),Y1),Z1))),divide(inverse(Y1),Z1)),
inference('PARAMODULATE',[status(thm)],[155,8,theory(equality)]) ).
cnf(361,plain,
divide(divide(X,divide(inverse(Y),Z)),inverse(divide(U,V))) = divide(divide(X,inverse(divide(divide(inverse(divide(divide(divide(divide(divide(V,U),W),inverse(divide(W,Y))),X1),inverse(divide(X1,Z)))),Y1),Z1))),divide(inverse(Y1),Z1)),
inference('PARAMODULATE',[status(thm)],[155,9,theory(equality)]) ).
cnf(369,plain,
divide(divide(inverse(divide(divide(X,Y),inverse(divide(Y,Z)))),divide(divide(U,V),divide(X,W))),divide(V,U)) = inverse(divide(W,Z)),
inference('PARAMODULATE',[status(thm)],[single_axiom,250,theory(equality)]) ).
cnf(370,plain,
inverse(divide(inverse(divide(divide(inverse(X),Y),Z)),X)) = divide(inverse(Y),Z),
inference('REWRITE',[status(thm)],[270,369,theory(equality)]) ).
cnf(382,plain,
divide(divide(X,divide(inverse(divide(divide(Y,Z),U)),V)),inverse(U)) = divide(divide(X,W),inverse(divide(W,divide(divide(divide(Z,Y),X1),inverse(divide(X1,V)))))),
inference('PARAMODULATE',[status(thm)],[250,5,theory(equality)]) ).
cnf(392,plain,
divide(X,inverse(divide(divide(inverse(Y),divide(divide(Z,U),divide(inverse(divide(V,Y)),divide(X,V)))),W))) = divide(divide(divide(U,Z),X1),inverse(divide(X1,W))),
inference('PARAMODULATE',[status(thm)],[250,103,theory(equality)]) ).
cnf(417,plain,
divide(divide(X,divide(inverse(Y),divide(divide(Z,U),divide(inverse(divide(V,Y)),divide(divide(W,X1),V))))),inverse(divide(X1,W))) = divide(divide(X,Y1),inverse(divide(Y1,divide(U,Z)))),
inference('PARAMODULATE',[status(thm)],[250,7,theory(equality)]) ).
cnf(420,plain,
divide(inverse(divide(X,Y)),divide(Z,X)) = divide(inverse(divide(U,Y)),divide(Z,U)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,250,theory(equality)]),7,theory(equality)]) ).
cnf(429,plain,
inverse(divide(inverse(X),divide(Y,X))) = divide(inverse(divide(divide(Z,U),Y)),divide(U,Z)),
inference('PARAMODULATE',[status(thm)],[370,single_axiom,theory(equality)]) ).
cnf(431,plain,
divide(inverse(X),inverse(divide(X,Y))) = divide(inverse(Z),inverse(divide(Z,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[370,250,theory(equality)]),370,theory(equality)]) ).
cnf(473,plain,
divide(divide(inverse(X),inverse(divide(X,Y))),inverse(divide(inverse(divide(Z,Y)),U))) = divide(divide(inverse(Z),inverse(divide(divide(inverse(U),V),W))),divide(inverse(V),W)),
inference('PARAMODULATE',[status(thm)],[155,431,theory(equality)]) ).
cnf(479,plain,
inverse(X) = divide(divide(divide(divide(divide(inverse(Y),inverse(divide(Y,Z))),inverse(divide(inverse(divide(X,Z)),U))),V),inverse(divide(V,W))),divide(inverse(U),W)),
inference('PARAMODULATE',[status(thm)],[104,431,theory(equality)]) ).
cnf(496,plain,
divide(inverse(divide(X,Y)),inverse(X)) = divide(inverse(divide(Z,Y)),inverse(Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,431,theory(equality)]),7,theory(equality)]) ).
cnf(514,plain,
divide(inverse(divide(divide(inverse(divide(divide(inverse(X),Y),Z)),X),U)),divide(inverse(Y),Z)) = divide(inverse(divide(V,U)),inverse(V)),
inference('PARAMODULATE',[status(thm)],[496,370,theory(equality)]) ).
cnf(518,plain,
divide(inverse(X),inverse(divide(inverse(divide(divide(Y,Z),X)),U))) = divide(inverse(divide(V,divide(divide(divide(Z,Y),W),inverse(divide(W,U))))),inverse(V)),
inference('PARAMODULATE',[status(thm)],[496,5,theory(equality)]) ).
cnf(527,plain,
divide(inverse(X),inverse(divide(Y,Z))) = divide(inverse(divide(U,divide(inverse(V),divide(divide(Z,Y),divide(inverse(divide(W,V)),divide(X,W)))))),inverse(U)),
inference('PARAMODULATE',[status(thm)],[496,103,theory(equality)]) ).
cnf(600,plain,
inverse(divide(inverse(X),divide(Y,X))) = inverse(divide(inverse(Z),divide(Y,Z))),
inference('PARAMODULATE',[status(thm)],[429,429,theory(equality)]) ).
cnf(602,plain,
divide(inverse(divide(inverse(X),divide(Y,X))),divide(divide(divide(Z,U),V),inverse(divide(V,divide(Z,U))))) = Y,
inference('PARAMODULATE',[status(thm)],[5,429,theory(equality)]) ).
cnf(635,plain,
inverse(divide(inverse(X),divide(divide(inverse(Y),divide(divide(Z,U),divide(inverse(divide(V,Y)),divide(W,V)))),X))) = divide(inverse(W),divide(Z,U)),
inference('PARAMODULATE',[status(thm)],[429,103,theory(equality)]) ).
cnf(717,plain,
divide(inverse(divide(inverse(X),divide(Y,X))),divide(Z,inverse(U))) = divide(inverse(divide(V,divide(Y,U))),divide(Z,V)),
inference('PARAMODULATE',[status(thm)],[420,600,theory(equality)]) ).
cnf(750,plain,
inverse(divide(inverse(inverse(divide(X,Y))),divide(divide(Z,inverse(divide(divide(inverse(Y),U),V))),divide(inverse(U),V)))) = inverse(divide(inverse(W),divide(divide(Z,X),W))),
inference('PARAMODULATE',[status(thm)],[600,155,theory(equality)]) ).
cnf(756,plain,
inverse(divide(inverse(divide(X,Y)),divide(Z,U))) = divide(inverse(divide(U,Z)),divide(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[600,7,theory(equality)]),635,theory(equality)]) ).
cnf(760,plain,
inverse(divide(inverse(divide(X,inverse(Y))),divide(Z,divide(inverse(divide(divide(inverse(U),Y),X)),U)))) = divide(inverse(divide(V,Z)),inverse(V)),
inference('REWRITE',[status(thm)],[514,756,theory(equality)]) ).
cnf(770,plain,
divide(inverse(divide(X,Y)),divide(Z,divide(inverse(divide(Y,X)),U))) = divide(inverse(U),Z),
inference('PARAMODULATE',[status(thm)],[370,756,theory(equality)]) ).
cnf(773,plain,
inverse(inverse(divide(inverse(X),Y))) = divide(inverse(X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[370,756,theory(equality)]),770,theory(equality)]) ).
cnf(801,plain,
divide(inverse(divide(inverse(divide(X,Y)),divide(Z,X))),divide(divide(U,V),divide(inverse(divide(W,Y)),divide(divide(V,U),W)))) = Z,
inference('PARAMODULATE',[status(thm)],[6,756,theory(equality)]) ).
cnf(805,plain,
inverse(divide(divide(inverse(divide(X,Y)),divide(Z,U)),divide(V,W))) = divide(inverse(divide(W,V)),divide(divide(Y,X),inverse(divide(U,Z)))),
inference('PARAMODULATE',[status(thm)],[756,756,theory(equality)]) ).
cnf(806,plain,
inverse(divide(divide(inverse(divide(X,divide(Y,Z))),divide(divide(Y,Z),X)),divide(divide(U,V),inverse(V)))) = U,
inference('REWRITE',[status(thm)],[602,805,theory(equality)]) ).
cnf(813,plain,
inverse(divide(inverse(X),divide(Y,Z))) = divide(inverse(divide(Z,Y)),divide(divide(U,V),divide(inverse(divide(W,X)),divide(divide(V,U),W)))),
inference('PARAMODULATE',[status(thm)],[756,single_axiom,theory(equality)]) ).
cnf(814,plain,
inverse(divide(inverse(X),divide(divide(Y,Z),inverse(divide(Z,X))))) = Y,
inference('REWRITE',[status(thm)],[801,813,theory(equality)]) ).
cnf(852,plain,
divide(inverse(divide(inverse(divide(X,Y)),divide(Z,U))),inverse(divide(divide(Y,X),V))) = divide(divide(inverse(divide(U,Z)),inverse(divide(divide(inverse(V),W),X1))),divide(inverse(W),X1)),
inference('PARAMODULATE',[status(thm)],[155,756,theory(equality)]) ).
cnf(861,plain,
inverse(divide(X,Y)) = divide(divide(divide(divide(inverse(divide(inverse(divide(Z,U)),divide(Y,X))),inverse(divide(divide(U,Z),V))),W),inverse(divide(W,X1))),divide(inverse(V),X1)),
inference('PARAMODULATE',[status(thm)],[104,756,theory(equality)]) ).
cnf(897,plain,
divide(inverse(X),divide(Y,X)) = divide(inverse(Z),divide(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[773,600,theory(equality)]),773,theory(equality)]) ).
cnf(902,plain,
inverse(divide(inverse(X),Y)) = divide(inverse(divide(divide(inverse(Z),X),Y)),Z),
inference('PARAMODULATE',[status(thm)],[773,370,theory(equality)]) ).
cnf(903,plain,
inverse(divide(inverse(divide(X,inverse(Y))),divide(Z,inverse(divide(inverse(Y),X))))) = divide(inverse(divide(U,Z)),inverse(U)),
inference('REWRITE',[status(thm)],[760,902,theory(equality)]) ).
cnf(922,plain,
divide(inverse(divide(inverse(X),divide(Y,X))),divide(Z,divide(inverse(U),divide(Y,U)))) = divide(inverse(V),divide(Z,V)),
inference('PARAMODULATE',[status(thm)],[897,600,theory(equality)]) ).
cnf(953,plain,
divide(divide(X,Y),inverse(Y)) = divide(divide(X,Z),inverse(Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,897,theory(equality)]),7,theory(equality)]) ).
cnf(1007,plain,
divide(divide(inverse(divide(divide(X,Y),inverse(Y))),divide(divide(divide(Z,U),divide(inverse(divide(V,W)),divide(divide(U,Z),V))),divide(X,X1))),W) = inverse(X1),
inference('PARAMODULATE',[status(thm)],[8,953,theory(equality)]) ).
cnf(1014,plain,
inverse(inverse(divide(X,Y))) = divide(X,Y),
inference('PARAMODULATE',[status(thm)],[773,814,theory(equality)]) ).
cnf(1041,plain,
inverse(divide(divide(X,Y),divide(divide(Z,inverse(divide(divide(inverse(Y),U),V))),divide(inverse(U),V)))) = inverse(divide(inverse(W),divide(divide(Z,X),W))),
inference('REWRITE',[status(thm)],[750,1014,theory(equality)]) ).
cnf(1053,plain,
divide(X,inverse(inverse(Y))) = divide(inverse(divide(Z,divide(divide(X,U),inverse(divide(U,Y))))),inverse(Z)),
inference('PARAMODULATE',[status(thm)],[496,814,theory(equality)]) ).
cnf(1055,plain,
divide(inverse(X),inverse(divide(inverse(divide(divide(Y,Z),X)),U))) = divide(divide(Z,Y),inverse(inverse(U))),
inference('REWRITE',[status(thm)],[518,1053,theory(equality)]) ).
cnf(1061,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[814,756,theory(equality)]),814,756,theory(equality)]) ).
cnf(1080,plain,
divide(inverse(X),inverse(divide(inverse(divide(divide(Y,Z),X)),U))) = divide(divide(Z,Y),U),
inference('REWRITE',[status(thm)],[1055,1061,theory(equality)]) ).
cnf(1105,plain,
inverse(divide(inverse(divide(X,Y)),divide(Z,inverse(divide(Y,X))))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[814,756,theory(equality)]),770,theory(equality)]) ).
cnf(1106,plain,
X = divide(inverse(divide(Y,X)),inverse(Y)),
inference('REWRITE',[status(thm)],[903,1105,theory(equality)]) ).
cnf(1107,plain,
divide(inverse(X),inverse(divide(Y,Z))) = divide(inverse(U),divide(divide(Z,Y),divide(inverse(divide(V,U)),divide(X,V)))),
inference('REWRITE',[status(thm)],[527,1106,theory(equality)]) ).
cnf(1130,plain,
divide(divide(X,Y),inverse(divide(divide(Z,U),V))) = divide(divide(divide(inverse(divide(Y,X)),inverse(divide(Z,U))),inverse(divide(divide(inverse(V),W),X1))),divide(inverse(W),X1)),
inference('REWRITE',[status(thm)],[327,1107,theory(equality)]) ).
cnf(1138,plain,
divide(X,inverse(divide(divide(inverse(X),inverse(divide(Y,Z))),U))) = divide(divide(divide(Y,Z),inverse(divide(divide(inverse(U),V),W))),divide(inverse(V),W)),
inference('REWRITE',[status(thm)],[295,1107,theory(equality)]) ).
cnf(1139,plain,
divide(X,inverse(divide(divide(inverse(X),inverse(divide(Y,Z))),U))) = divide(divide(divide(Y,Z),V),inverse(divide(V,U))),
inference('REWRITE',[status(thm)],[392,1107,theory(equality)]) ).
cnf(1147,plain,
divide(divide(X,divide(inverse(divide(Y,Z)),inverse(divide(U,V)))),inverse(divide(Z,Y))) = divide(divide(X,inverse(divide(divide(inverse(divide(U,V)),W),X1))),divide(inverse(W),X1)),
inference('REWRITE',[status(thm)],[329,1107,theory(equality)]) ).
cnf(1148,plain,
divide(divide(X,divide(inverse(divide(Y,Z)),inverse(divide(U,V)))),inverse(divide(Z,Y))) = divide(divide(X,W),inverse(divide(W,divide(U,V)))),
inference('REWRITE',[status(thm)],[417,1107,theory(equality)]) ).
cnf(1151,plain,
divide(X,Y) = divide(divide(divide(divide(Z,inverse(divide(divide(inverse(Z),inverse(divide(X,Y))),U))),V),inverse(divide(V,W))),divide(inverse(U),W)),
inference('REWRITE',[status(thm)],[190,1107,theory(equality)]) ).
cnf(1163,plain,
divide(divide(inverse(X),divide(divide(divide(Y,Z),divide(inverse(divide(U,V)),divide(divide(Z,Y),U))),divide(W,X1))),V) = divide(inverse(X),inverse(divide(W,X1))),
inference('REWRITE',[status(thm)],[133,1107,theory(equality)]) ).
cnf(1164,plain,
divide(inverse(divide(divide(X,Y),inverse(Y))),inverse(divide(X,Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[1007,1163,theory(equality)]) ).
cnf(1169,plain,
divide(divide(X,Y),Z) = divide(divide(divide(X,Y),U),inverse(divide(U,Z))),
inference('REWRITE',[status(thm)],[76,1080,1163,theory(equality)]) ).
cnf(1182,plain,
divide(X,Y) = divide(divide(divide(Z,inverse(divide(divide(inverse(Z),inverse(divide(X,Y))),U))),V),divide(inverse(U),V)),
inference('REWRITE',[status(thm)],[1151,1169,theory(equality)]) ).
cnf(1185,plain,
divide(X,inverse(divide(divide(inverse(X),inverse(divide(Y,Z))),U))) = divide(divide(Y,Z),U),
inference('REWRITE',[status(thm)],[1139,1169,theory(equality)]) ).
cnf(1187,plain,
divide(X,Y) = divide(divide(divide(divide(X,Y),Z),U),divide(inverse(Z),U)),
inference('REWRITE',[status(thm)],[1182,1185,theory(equality)]) ).
cnf(1188,plain,
divide(divide(X,Y),Z) = divide(divide(divide(X,Y),inverse(divide(divide(inverse(Z),U),V))),divide(inverse(U),V)),
inference('REWRITE',[status(thm)],[1138,1185,theory(equality)]) ).
cnf(1189,plain,
divide(divide(X,Y),inverse(divide(divide(Z,U),V))) = divide(divide(inverse(divide(Y,X)),inverse(divide(Z,U))),V),
inference('REWRITE',[status(thm)],[1130,1188,theory(equality)]) ).
cnf(1190,plain,
divide(inverse(divide(inverse(divide(X,Y)),divide(Z,U))),inverse(divide(divide(Y,X),V))) = divide(divide(Z,U),inverse(divide(divide(divide(inverse(V),W),X1),divide(inverse(W),X1)))),
inference('REWRITE',[status(thm)],[852,1189,theory(equality)]) ).
cnf(1201,plain,
divide(X,inverse(divide(divide(Y,Z),U))) = divide(divide(inverse(divide(V,X)),divide(divide(Z,Y),V)),U),
inference('REWRITE',[status(thm)],[263,1188,theory(equality)]) ).
cnf(1205,plain,
divide(X,inverse(divide(Y,Y))) = X,
inference('REWRITE',[status(thm)],[323,259,1201,theory(equality)]) ).
cnf(1245,plain,
inverse(divide(X,Y)) = divide(divide(divide(inverse(divide(inverse(divide(Z,U)),divide(Y,X))),inverse(divide(divide(U,Z),V))),W),divide(inverse(V),W)),
inference('REWRITE',[status(thm)],[861,1169,theory(equality)]) ).
cnf(1266,plain,
inverse(X) = divide(divide(divide(divide(inverse(Y),inverse(divide(Y,Z))),inverse(divide(inverse(divide(X,Z)),U))),V),divide(inverse(U),V)),
inference('REWRITE',[status(thm)],[479,1169,theory(equality)]) ).
cnf(1274,plain,
divide(divide(X,divide(inverse(divide(divide(Y,Z),U)),V)),inverse(U)) = divide(divide(X,W),inverse(divide(W,divide(divide(Z,Y),V)))),
inference('REWRITE',[status(thm)],[382,1169,theory(equality)]) ).
cnf(1276,plain,
divide(divide(X,divide(inverse(Y),Z)),inverse(divide(U,V))) = divide(divide(X,inverse(divide(divide(inverse(divide(divide(divide(V,U),Y),Z)),W),X1))),divide(inverse(W),X1)),
inference('REWRITE',[status(thm)],[361,1169,theory(equality)]) ).
cnf(1285,plain,
divide(divide(X,divide(inverse(divide(divide(Y,Z),U)),V)),inverse(U)) = divide(divide(X,inverse(divide(divide(inverse(divide(divide(Z,Y),V)),W),X1))),divide(inverse(W),X1)),
inference('REWRITE',[status(thm)],[311,1169,theory(equality)]) ).
cnf(1303,plain,
divide(divide(inverse(X),Y),divide(divide(Z,inverse(divide(divide(divide(U,V),divide(inverse(divide(W,X1)),divide(divide(V,U),W))),X))),Y)) = divide(divide(X1,Y1),inverse(divide(Y1,Z))),
inference('REWRITE',[status(thm)],[231,1169,theory(equality)]) ).
cnf(1402,plain,
divide(divide(inverse(X),Y),divide(divide(Z,inverse(divide(divide(U,V),X))),Y)) = divide(divide(V,U),Z),
inference('REWRITE',[status(thm)],[15,1169,theory(equality)]) ).
cnf(1403,plain,
divide(X,Y) = divide(divide(X,Z),inverse(divide(Z,Y))),
inference('REWRITE',[status(thm)],[1303,1205,1201,1402,theory(equality)]) ).
cnf(1411,plain,
divide(divide(X,divide(inverse(divide(divide(Y,Z),U)),V)),inverse(U)) = divide(X,divide(divide(Z,Y),V)),
inference('REWRITE',[status(thm)],[1274,1403,theory(equality)]) ).
cnf(1412,plain,
divide(X,divide(divide(Y,Z),U)) = divide(divide(X,inverse(divide(divide(inverse(divide(divide(Y,Z),U)),V),W))),divide(inverse(V),W)),
inference('REWRITE',[status(thm)],[1285,1411,theory(equality)]) ).
cnf(1413,plain,
divide(divide(X,divide(inverse(Y),Z)),inverse(divide(U,V))) = divide(X,divide(divide(divide(V,U),Y),Z)),
inference('REWRITE',[status(thm)],[1276,1412,theory(equality)]) ).
cnf(1414,plain,
divide(X,divide(divide(divide(Y,Z),divide(Y,Z)),inverse(divide(U,V)))) = divide(divide(X,inverse(divide(divide(inverse(divide(U,V)),W),X1))),divide(inverse(W),X1)),
inference('REWRITE',[status(thm)],[1147,1413,theory(equality)]) ).
cnf(1417,plain,
divide(X,divide(divide(divide(Y,Z),divide(Y,Z)),inverse(divide(U,V)))) = divide(X,divide(U,V)),
inference('REWRITE',[status(thm)],[1148,1413,1403,theory(equality)]) ).
cnf(1418,plain,
divide(X,divide(Y,Z)) = divide(divide(X,inverse(divide(divide(inverse(divide(Y,Z)),U),V))),divide(inverse(U),V)),
inference('REWRITE',[status(thm)],[1414,1417,theory(equality)]) ).
cnf(1424,plain,
divide(divide(X,divide(inverse(divide(Y,Z)),divide(divide(U,V),Y))),inverse(Z)) = divide(X,divide(V,U)),
inference('REWRITE',[status(thm)],[268,1418,theory(equality)]) ).
cnf(1425,plain,
divide(X,Y) = divide(divide(X,inverse(divide(divide(inverse(Y),Z),U))),divide(inverse(Z),U)),
inference('REWRITE',[status(thm)],[337,1205,1201,1424,theory(equality)]) ).
cnf(1429,plain,
inverse(divide(divide(X,Y),divide(Z,Y))) = inverse(divide(inverse(U),divide(divide(Z,X),U))),
inference('REWRITE',[status(thm)],[1041,1425,theory(equality)]) ).
cnf(1445,plain,
divide(divide(inverse(X),inverse(divide(X,Y))),inverse(divide(inverse(divide(Z,Y)),U))) = divide(inverse(Z),U),
inference('REWRITE',[status(thm)],[473,1425,theory(equality)]) ).
cnf(1446,plain,
inverse(X) = divide(divide(divide(inverse(X),Y),Z),divide(inverse(Y),Z)),
inference('REWRITE',[status(thm)],[1266,1445,theory(equality)]) ).
cnf(1447,plain,
divide(inverse(divide(inverse(divide(X,Y)),divide(Z,U))),inverse(divide(divide(Y,X),V))) = divide(divide(Z,U),V),
inference('REWRITE',[status(thm)],[1190,1061,1446,theory(equality)]) ).
cnf(1448,plain,
inverse(divide(X,Y)) = divide(Y,X),
inference('REWRITE',[status(thm)],[1245,1187,1447,theory(equality)]) ).
cnf(1449,plain,
divide(divide(X,Y),divide(Z,Y)) = divide(divide(divide(X,Z),U),inverse(U)),
inference('REWRITE',[status(thm)],[1429,1448,theory(equality)]) ).
cnf(1454,plain,
divide(divide(divide(X,Y),inverse(Y)),divide(divide(divide(Z,U),V),divide(divide(Z,U),V))) = X,
inference('REWRITE',[status(thm)],[806,1448,theory(equality)]) ).
cnf(1460,plain,
divide(divide(divide(X,Y),inverse(Y)),divide(Z,inverse(U))) = divide(divide(divide(X,U),V),divide(Z,V)),
inference('REWRITE',[status(thm)],[717,1448,theory(equality)]) ).
cnf(1462,plain,
divide(divide(divide(X,Y),inverse(Y)),divide(Z,divide(inverse(U),divide(X,U)))) = divide(inverse(V),divide(Z,V)),
inference('REWRITE',[status(thm)],[922,1448,theory(equality)]) ).
cnf(1489,plain,
divide(X,divide(Y,Y)) = X,
inference('REWRITE',[status(thm)],[1205,1448,theory(equality)]) ).
cnf(1490,plain,
divide(divide(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[1454,1489,theory(equality)]) ).
cnf(1501,plain,
divide(divide(X,Y),divide(Z,Y)) = divide(X,Z),
inference('REWRITE',[status(thm)],[1449,1490,theory(equality)]) ).
cnf(1520,plain,
divide(X,divide(Y,inverse(Z))) = divide(divide(X,Z),Y),
inference('REWRITE',[status(thm)],[1460,1501,1490,theory(equality)]) ).
cnf(1524,plain,
divide(X,divide(Y,divide(inverse(Z),divide(X,Z)))) = divide(inverse(U),divide(Y,U)),
inference('REWRITE',[status(thm)],[1462,1490,theory(equality)]) ).
cnf(1533,plain,
divide(inverse(X),divide(Y,X)) = inverse(Y),
inference('REWRITE',[status(thm)],[1164,1490,1448,theory(equality)]) ).
cnf(1534,plain,
divide(divide(X,X),Y) = inverse(Y),
inference('REWRITE',[status(thm)],[1524,1520,1533,theory(equality)]) ).
cnf(1628,plain,
divide(X,X) = divide(Y,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1489,1534,theory(equality)]),1448,theory(equality)]) ).
cnf(1629,plain,
$false,
inference('REWRITE',[status(thm)],[4,1628,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP472-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 Jun 13 18:56:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:56:18
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-13T18:56:18
% 1.38/1.57
% 1.38/1.57
% 1.38/1.57 #||
% 1.38/1.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.57 % SZS output start Refutation
% See solution above
% 1.38/1.59 ||#
% 1.38/1.59
% 1.38/1.59 ; Summary of computation:
% 1.38/1.59 ; 3639 formulas have been input or derived (from 31 formulas).
% 1.38/1.59 ; 1629 (45%) were retained. Of these,
% 1.38/1.59 ; 1552 (95%) were simplified or subsumed later,
% 1.38/1.59 ; 77 ( 5%) are still being kept.
% 1.38/1.59 ;
% 1.38/1.59 ; Run time in seconds excluding printing time:
% 1.38/1.59 ; 0.001 0% Read assertion file (1 call)
% 1.38/1.59 ; 0.000 0% Assert (3 calls)
% 1.38/1.59 ; 0.273 25% Process new row (3,627 calls)
% 1.38/1.59 ; 0.001 0% Resolution (60 calls)
% 1.38/1.59 ; 0.064 6% Paramodulation (30 calls)
% 1.38/1.59 ; 0.291 26% Forward simplification (3,508 calls)
% 1.38/1.59 ; 0.278 25% Backward simplification (1,628 calls)
% 1.38/1.59 ; 0.159 14% Ordering (16,209 calls)
% 1.38/1.59 ; 0.001 0% Sortal reasoning (32 calls)
% 1.38/1.59 ; 0.000 0% Purity testing (1 call)
% 1.38/1.59 ; 0.040 4% Other
% 1.38/1.59 ; 1.108 Total
% 1.38/1.59 ; 1.126 Real time
% 1.38/1.59 ;
% 1.38/1.59 ; Term-hash-array has 8,387 terms in all.
% 1.38/1.59 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.38/1.59 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.38/1.59 ; Path-index has 395 entries (5,618 at peak, 9,177 added, 8,782 deleted).
% 1.38/1.59 ; Path-index has 8,911 nodes (12,140 at peak, 14,516 added, 5,605 deleted).
% 1.38/1.59 ; Trie-index has 395 entries (5,618 at peak, 9,177 added, 8,782 deleted).
% 1.38/1.59 ; Trie-index has 1,846 nodes (38,532 at peak, 60,003 added, 58,157 deleted).
% 1.38/1.59 ; Retrieved 21,759 generalization terms in 50,478 calls.
% 1.38/1.59 ; Retrieved 7,864 instance terms in 1,737 calls.
% 1.38/1.59 ; Retrieved 18,591 unifiable terms in 306 calls.
% 1.38/1.59 ;
% 1.38/1.59 ; The agenda of rows to process has 8 entries:
% 1.38/1.59 ; 2 with value 24 1 with value 26 2 with value 28
% 1.38/1.59 ; 3 with value 25
% 1.38/1.59 ; The agenda of rows to give has 69 entries:
% 1.38/1.59 ; 1 with value (4 22) 9 with value (4 30) 6 with value (4 36)
% 1.38/1.59 ; 1 with value (4 24) 4 with value (4 31) 3 with value (4 37)
% 1.38/1.59 ; 3 with value (4 25) 11 with value (4 32) 4 with value (4 38)
% 1.38/1.59 ; 1 with value (4 26) 6 with value (4 33) 1 with value (4 39)
% 1.38/1.59 ; 4 with value (4 27) 3 with value (4 34) 1 with value (4 40)
% 1.38/1.59 ; 3 with value (4 28) 5 with value (4 35) 1 with value (4 43)
% 1.38/1.59 ; 2 with value (4 29)
% 1.38/1.59 Evaluation took:
% 1.38/1.59 1.127 seconds of real time
% 1.38/1.59 1.041663 seconds of user run time
% 1.38/1.59 0.085169 seconds of system run time
% 1.38/1.59 [Run times include 0.129 seconds GC run time.]
% 1.38/1.59 0 calls to %EVAL
% 1.38/1.59 0 page faults and
% 1.38/1.59 99,218,040 bytes consed.
% 1.38/1.59 :PROOF-FOUND
% 1.38/1.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:56:20
% 1.38/1.59 :PROOF-FOUND
% 1.38/1.59 *
%------------------------------------------------------------------------------