TSTP Solution File: GRP014-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% 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 : 300s
% DateTime : Tue Jul 26 07:01:50 EDT 2022
% Result : Unsatisfiable 29.27s 29.46s
% Output : CNFRefutation 29.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of clauses : 131 ( 131 unt; 0 nHn; 19 RR)
% Number of literals : 131 ( 130 equ; 17 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 314 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(W),multiply(inverse(Y),X))),Z),inverse(multiply(W,Z))))),
file('/tmp/MaedMax_12728') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/tmp/MaedMax_12728') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(multiply(inverse(multiply(inverse(x101),X)),x103),inverse(multiply(x101,x103))))) = inverse(multiply(multiply(inverse(multiply(inverse(W),multiply(inverse(inverse(x100)),X))),Z),inverse(multiply(W,Z)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(inverse(inverse(Y)),W))),Z),inverse(multiply(X,Z)))) = multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(x4),W)),x5),inverse(multiply(x4,x5))))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(x4),W)),x5),inverse(multiply(x4,x5)))))) = W,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
X = inverse(multiply(multiply(inverse(multiply(inverse(x104),multiply(inverse(inverse(Y)),multiply(inverse(Y),X)))),x105),inverse(multiply(x104,x105)))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_6,plain,
X = multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(W),X)),Z),inverse(multiply(W,Z)))))),
eq_4 ).
cnf(eq_7,plain,
X = inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(inverse(W)),multiply(inverse(W),X)))),Z),inverse(multiply(Y,Z)))),
eq_5 ).
cnf(eq_8,plain,
inverse(multiply(multiply(inverse(multiply(inverse(x100),multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(inverse(W)),multiply(inverse(W),X)))),Z),inverse(multiply(Y,Z))))),multiply(X,x102)))),x103),inverse(multiply(x100,x103)))) = x102,
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_9,plain,
multiply(x100,inverse(multiply(multiply(inverse(X),x103),inverse(multiply(inverse(x100),x103))))) = inverse(multiply(multiply(inverse(multiply(inverse(W),X)),Z),inverse(multiply(W,Z)))),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_10,plain,
multiply(inverse(x100),multiply(x100,multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(x4),W)),x5),inverse(multiply(x4,x5))))))) = multiply(inverse(inverse(Y)),W),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_11,plain,
multiply(inverse(x100),multiply(x100,X)) = multiply(inverse(inverse(W)),multiply(inverse(W),X)),
inference(cp,[status(thm)],[eq_7,eq_6]) ).
cnf(eq_12,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X),Y)),W),inverse(multiply(X,W)))) = multiply(Z,inverse(multiply(multiply(inverse(Y),x4),inverse(multiply(inverse(Z),x4))))),
eq_9 ).
cnf(eq_13,plain,
X = inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(W),multiply(W,X)))),Z),inverse(multiply(Y,Z)))),
inference(rw,[status(thm)],[eq_8,eq_7]) ).
cnf(eq_14,plain,
multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(W),Z)),x4),inverse(multiply(W,x4))))))) = multiply(inverse(inverse(Y)),Z),
eq_10 ).
cnf(eq_15,plain,
multiply(inverse(X),multiply(X,Y)) = multiply(inverse(inverse(W)),multiply(inverse(W),Y)),
eq_11 ).
cnf(eq_16,plain,
multiply(x100,multiply(Z,inverse(multiply(multiply(inverse(multiply(inverse(x100),x102)),x4),inverse(multiply(inverse(Z),x4)))))) = x102,
inference(cp,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_17,plain,
multiply(W,inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),x103),inverse(multiply(inverse(W),x103))))) = Y,
inference(cp,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_18,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,X))) = multiply(inverse(inverse(x101)),multiply(inverse(W),multiply(W,X))),
inference(cp,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_19,plain,
multiply(inverse(x100),multiply(x100,multiply(Z,inverse(multiply(multiply(inverse(Y),x4),inverse(multiply(inverse(Z),x4))))))) = Y,
inference(cp,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_20,plain,
multiply(inverse(X),multiply(inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(inverse(W)),multiply(inverse(W),X)))),Z),inverse(multiply(Y,Z)))),x101)) = multiply(inverse(x102),multiply(x102,x101)),
inference(cp,[status(thm)],[eq_7,eq_15]) ).
cnf(eq_21,plain,
X = multiply(Y,multiply(W,inverse(multiply(multiply(inverse(multiply(inverse(Y),X)),Z),inverse(multiply(inverse(W),Z)))))),
eq_16 ).
cnf(eq_22,plain,
X = multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(W),multiply(W,X))),Z),inverse(multiply(inverse(Y),Z))))),
eq_17 ).
cnf(eq_23,plain,
multiply(inverse(X),multiply(X,Y)) = multiply(inverse(W),multiply(W,Y)),
inference(rw,[status(thm)],[eq_20,eq_7]) ).
cnf(eq_24,plain,
X = multiply(inverse(Y),multiply(Y,multiply(W,inverse(multiply(multiply(inverse(X),Z),inverse(multiply(inverse(W),Z))))))),
eq_19 ).
cnf(eq_25,plain,
multiply(inverse(X),multiply(X,multiply(Y,W))) = multiply(inverse(inverse(Y)),multiply(inverse(Z),multiply(Z,W))),
eq_18 ).
cnf(eq_26,plain,
inverse(multiply(multiply(inverse(X),x103),inverse(multiply(inverse(W),x103)))) = inverse(multiply(multiply(inverse(X),Z),inverse(multiply(inverse(W),Z)))),
inference(cp,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_27,plain,
multiply(inverse(x100),multiply(x100,inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),x103),inverse(multiply(W,x103)))))) = multiply(W,Y),
inference(cp,[status(thm)],[eq_23,eq_6]) ).
cnf(eq_28,plain,
X = multiply(inverse(inverse(W)),multiply(inverse(x103),multiply(x103,inverse(multiply(multiply(inverse(X),Z),inverse(multiply(inverse(W),Z))))))),
inference(cp,[status(thm)],[eq_24,eq_25]) ).
cnf(eq_29,plain,
X = multiply(inverse(inverse(Y)),multiply(inverse(W),multiply(W,inverse(multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z))))))),
eq_28 ).
cnf(eq_30,plain,
inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(W),Y)))) = inverse(multiply(multiply(inverse(X),Z),inverse(multiply(inverse(W),Z)))),
eq_26 ).
cnf(eq_31,plain,
multiply(X,Y) = multiply(inverse(W),multiply(W,inverse(multiply(multiply(inverse(multiply(inverse(Z),multiply(Z,Y))),x4),inverse(multiply(X,x4)))))),
eq_27 ).
cnf(eq_32,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,inverse(multiply(multiply(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(W),Y)))),x103),inverse(multiply(inverse(x101),x103))))))) = multiply(multiply(inverse(X),Z),inverse(multiply(inverse(W),Z))),
inference(cp,[status(thm)],[eq_30,eq_24]) ).
cnf(eq_33,plain,
inverse(multiply(multiply(inverse(x100),x101),inverse(multiply(X,x101)))) = inverse(multiply(multiply(inverse(x100),x103),inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(W),multiply(W,X)))),Z),inverse(multiply(Y,Z)))),x103)))),
inference(cp,[status(thm)],[eq_13,eq_30]) ).
cnf(eq_34,plain,
multiply(inverse(X),multiply(inverse(x101),multiply(x101,inverse(multiply(multiply(inverse(x102),x103),inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(W),multiply(W,X)))),Z),inverse(multiply(Y,Z)))),x103))))))) = x102,
inference(cp,[status(thm)],[eq_13,eq_29]) ).
cnf(eq_35,plain,
X = multiply(inverse(Y),multiply(inverse(W),multiply(W,inverse(multiply(multiply(inverse(X),Z),inverse(multiply(Y,Z))))))),
inference(rw,[status(thm)],[eq_34,eq_13]) ).
cnf(eq_36,plain,
inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y)))) = inverse(multiply(multiply(inverse(X),Z),inverse(multiply(W,Z)))),
inference(rw,[status(thm)],[eq_33,eq_13]) ).
cnf(eq_37,plain,
multiply(multiply(inverse(X),Y),inverse(multiply(inverse(W),Y))) = multiply(multiply(inverse(X),Z),inverse(multiply(inverse(W),Z))),
inference(rw,[status(thm)],[eq_32,eq_24]) ).
cnf(eq_38,plain,
inverse(multiply(multiply(X,x101),inverse(multiply(x102,x101)))) = inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(W),multiply(W,X)))),Z),inverse(multiply(Y,Z)))),x103),inverse(multiply(x102,x103)))),
inference(cp,[status(thm)],[eq_13,eq_36]) ).
cnf(eq_39,plain,
multiply(multiply(X,x101),inverse(multiply(inverse(x102),x101))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(W),multiply(W,X)))),Z),inverse(multiply(Y,Z)))),x103),inverse(multiply(inverse(x102),x103))),
inference(cp,[status(thm)],[eq_13,eq_37]) ).
cnf(eq_40,plain,
inverse(multiply(multiply(X,Y),inverse(multiply(W,Y)))) = inverse(multiply(multiply(X,Z),inverse(multiply(W,Z)))),
inference(rw,[status(thm)],[eq_38,eq_13]) ).
cnf(eq_41,plain,
multiply(multiply(X,Y),inverse(multiply(inverse(W),Y))) = multiply(multiply(X,Z),inverse(multiply(inverse(W),Z))),
inference(rw,[status(thm)],[eq_39,eq_13]) ).
cnf(eq_42,plain,
multiply(inverse(inverse(x100)),multiply(inverse(x101),multiply(x101,inverse(multiply(multiply(inverse(multiply(multiply(X,Y),inverse(multiply(W,Y)))),x103),inverse(multiply(inverse(x100),x103))))))) = multiply(multiply(X,Z),inverse(multiply(W,Z))),
inference(cp,[status(thm)],[eq_40,eq_29]) ).
cnf(eq_43,plain,
multiply(multiply(x100,multiply(W,Y)),inverse(multiply(inverse(X),multiply(X,Y)))) = multiply(multiply(x100,x103),inverse(multiply(inverse(W),x103))),
inference(cp,[status(thm)],[eq_23,eq_41]) ).
cnf(eq_44,plain,
multiply(multiply(X,Y),inverse(multiply(W,Y))) = multiply(multiply(X,Z),inverse(multiply(W,Z))),
inference(rw,[status(thm)],[eq_42,eq_29]) ).
cnf(eq_45,plain,
multiply(multiply(X,Y),inverse(multiply(inverse(W),Y))) = multiply(multiply(X,multiply(W,Z)),inverse(multiply(inverse(x4),multiply(x4,Z)))),
eq_43 ).
cnf(eq_46,negated_conjecture,
multiply(inverse(W),multiply(W,inverse(multiply(multiply(inverse(multiply(inverse(Z),multiply(Z,multiply(b,c)))),x4),inverse(multiply(a,x4)))))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_31,eq_1]) ).
cnf(eq_47,negated_conjecture,
multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(Y,multiply(b,c)))),W),inverse(multiply(a,W)))))) != multiply(multiply(a,b),c),
eq_46 ).
cnf(eq_48,plain,
multiply(X,inverse(multiply(inverse(x103),multiply(x103,multiply(W,inverse(multiply(multiply(inverse(X),Z),inverse(multiply(inverse(W),Z))))))))) = multiply(multiply(inverse(Y),x104),inverse(multiply(inverse(Y),x104))),
inference(cp,[status(thm)],[eq_24,eq_45]) ).
cnf(eq_49,plain,
multiply(X,inverse(X)) = multiply(multiply(inverse(Y),W),inverse(multiply(inverse(Y),W))),
inference(rw,[status(thm)],[eq_48,eq_24]) ).
cnf(eq_50,negated_conjecture,
multiply(inverse(x100),multiply(x100,inverse(multiply(multiply(inverse(multiply(inverse(inverse(b)),multiply(inverse(X),multiply(X,c)))),x102),inverse(multiply(a,x102)))))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_23,eq_47]) ).
cnf(eq_51,negated_conjecture,
multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(inverse(b)),multiply(inverse(Y),multiply(Y,c)))),W),inverse(multiply(a,W)))))) != multiply(multiply(a,b),c),
eq_50 ).
cnf(eq_52,plain,
multiply(multiply(inverse(x101),multiply(x101,x102)),inverse(multiply(X,inverse(X)))) = x102,
inference(cp,[status(thm)],[eq_49,eq_22]) ).
cnf(eq_53,plain,
multiply(x100,multiply(multiply(inverse(x100),x102),inverse(multiply(X,inverse(X))))) = x102,
inference(cp,[status(thm)],[eq_49,eq_21]) ).
cnf(eq_54,plain,
multiply(inverse(x100),multiply(x100,multiply(Y,inverse(multiply(X,inverse(X)))))) = Y,
inference(cp,[status(thm)],[eq_49,eq_24]) ).
cnf(eq_55,plain,
multiply(inverse(inverse(Y)),multiply(inverse(x101),multiply(x101,inverse(multiply(X,inverse(X)))))) = Y,
inference(cp,[status(thm)],[eq_49,eq_29]) ).
cnf(eq_56,plain,
multiply(multiply(inverse(inverse(Y)),multiply(inverse(W),multiply(W,inverse(multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z))))))),inverse(X)) = multiply(x102,inverse(x102)),
inference(cp,[status(thm)],[eq_29,eq_49]) ).
cnf(eq_57,plain,
multiply(X,inverse(X)) = multiply(Y,inverse(Y)),
inference(rw,[status(thm)],[eq_56,eq_29]) ).
cnf(eq_58,plain,
X = multiply(inverse(Y),multiply(Y,multiply(X,inverse(multiply(W,inverse(W)))))),
eq_54 ).
cnf(eq_59,plain,
X = multiply(multiply(inverse(Y),multiply(Y,X)),inverse(multiply(W,inverse(W)))),
eq_52 ).
cnf(eq_60,plain,
X = multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(Y,inverse(multiply(W,inverse(W)))))),
eq_55 ).
cnf(eq_61,plain,
X = multiply(Y,multiply(multiply(inverse(Y),X),inverse(multiply(W,inverse(W))))),
eq_53 ).
cnf(eq_62,negated_conjecture,
multiply(inverse(x100),multiply(x100,inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(a,multiply(multiply(inverse(inverse(b)),multiply(inverse(x101),multiply(x101,c))),Y))))))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_23,eq_51]) ).
cnf(eq_63,negated_conjecture,
multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),multiply(Y,W)),inverse(multiply(a,multiply(multiply(inverse(inverse(b)),multiply(inverse(Z),multiply(Z,c))),W))))))) != multiply(multiply(a,b),c),
eq_62 ).
cnf(eq_64,plain,
multiply(x100,multiply(multiply(inverse(x100),Y),inverse(multiply(W,Y)))) = inverse(W),
inference(cp,[status(thm)],[eq_44,eq_61]) ).
cnf(eq_65,plain,
multiply(x100,multiply(Y,inverse(Y))) = inverse(inverse(x100)),
inference(cp,[status(thm)],[eq_57,eq_61]) ).
cnf(eq_66,plain,
multiply(Y,inverse(multiply(x102,inverse(x102)))) = multiply(Y,inverse(multiply(W,inverse(W)))),
inference(cp,[status(thm)],[eq_60,eq_59]) ).
cnf(eq_67,plain,
multiply(inverse(X),multiply(Y,inverse(Y))) = multiply(inverse(x102),multiply(x102,inverse(X))),
inference(cp,[status(thm)],[eq_57,eq_23]) ).
cnf(eq_68,plain,
multiply(X,inverse(multiply(Y,inverse(Y)))) = multiply(X,inverse(multiply(W,inverse(W)))),
eq_66 ).
cnf(eq_69,plain,
inverse(X) = multiply(Y,multiply(multiply(inverse(Y),W),inverse(multiply(X,W)))),
eq_64 ).
cnf(eq_70,plain,
multiply(inverse(X),multiply(X,inverse(Y))) = multiply(inverse(Y),multiply(W,inverse(W))),
eq_67 ).
cnf(eq_71,plain,
inverse(inverse(X)) = multiply(X,multiply(Y,inverse(Y))),
eq_65 ).
cnf(eq_72,plain,
multiply(inverse(inverse(x100)),inverse(inverse(inverse(multiply(x102,inverse(x102)))))) = x100,
inference(cp,[status(thm)],[eq_71,eq_60]) ).
cnf(eq_73,plain,
multiply(inverse(inverse(inverse(Y))),inverse(multiply(x102,inverse(x102)))) = inverse(Y),
inference(cp,[status(thm)],[eq_71,eq_59]) ).
cnf(eq_74,plain,
multiply(x100,multiply(inverse(inverse(inverse(x100))),inverse(multiply(x102,multiply(Y,inverse(Y)))))) = inverse(x102),
inference(cp,[status(thm)],[eq_71,eq_69]) ).
cnf(eq_75,plain,
multiply(X,multiply(x101,inverse(x101))) = multiply(inverse(x102),multiply(x102,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(W),multiply(W,X)))),Z),inverse(multiply(Y,Z)))))),
inference(cp,[status(thm)],[eq_13,eq_70]) ).
cnf(eq_76,plain,
multiply(X,multiply(Y,inverse(Y))) = multiply(inverse(W),multiply(W,X)),
inference(rw,[status(thm)],[eq_75,eq_13]) ).
cnf(eq_77,plain,
inverse(X) = multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,inverse(Y)))),
eq_73 ).
cnf(eq_78,plain,
X = multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(Y,inverse(Y)))))),
eq_72 ).
cnf(eq_79,negated_conjecture,
inverse(inverse(inverse(multiply(multiply(inverse(x101),multiply(x101,x102)),inverse(multiply(a,multiply(multiply(inverse(inverse(b)),multiply(inverse(x103),multiply(x103,c))),x102))))))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_71,eq_63]) ).
cnf(eq_80,negated_conjecture,
inverse(inverse(inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(a,multiply(multiply(inverse(inverse(b)),multiply(inverse(W),multiply(W,c))),Y))))))) != multiply(multiply(a,b),c),
eq_79 ).
cnf(eq_81,plain,
inverse(inverse(X)) = multiply(inverse(Y),multiply(Y,X)),
inference(rw,[status(thm)],[eq_76,eq_71]) ).
cnf(eq_82,plain,
inverse(X) = multiply(Y,multiply(inverse(inverse(inverse(Y))),inverse(inverse(inverse(X))))),
inference(rw,[status(thm)],[eq_74,eq_71]) ).
cnf(eq_83,plain,
multiply(x100,inverse(x100)) = inverse(multiply(Y,inverse(Y))),
inference(cp,[status(thm)],[eq_78,eq_82]) ).
cnf(eq_84,plain,
multiply(x100,multiply(inverse(inverse(inverse(x100))),inverse(inverse(X)))) = inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(W),multiply(W,X)))),Z),inverse(multiply(Y,Z)))),
inference(cp,[status(thm)],[eq_13,eq_82]) ).
cnf(eq_85,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,inverse(multiply(multiply(inverse(inverse(X)),x104),inverse(multiply(inverse(inverse(X)),x104))))))) = multiply(inverse(inverse(x101)),inverse(multiply(Y,inverse(Y)))),
inference(cp,[status(thm)],[eq_77,eq_14]) ).
cnf(eq_86,plain,
multiply(inverse(inverse(Y)),inverse(inverse(X))) = inverse(inverse(multiply(Y,X))),
inference(cp,[status(thm)],[eq_81,eq_81]) ).
cnf(eq_87,plain,
inverse(multiply(X,inverse(X))) = multiply(Y,inverse(Y)),
eq_83 ).
cnf(eq_88,plain,
inverse(inverse(multiply(X,Y))) = multiply(inverse(inverse(X)),inverse(inverse(Y))),
eq_86 ).
cnf(eq_89,plain,
X = multiply(inverse(inverse(X)),inverse(multiply(Y,inverse(Y)))),
inference(rw,[status(thm)],[eq_85,eq_58]) ).
cnf(eq_90,plain,
X = multiply(Y,multiply(inverse(inverse(inverse(Y))),inverse(inverse(X)))),
inference(rw,[status(thm)],[eq_84,eq_13]) ).
cnf(eq_91,negated_conjecture,
inverse(inverse(inverse(multiply(inverse(inverse(X)),inverse(multiply(a,multiply(multiply(inverse(inverse(b)),inverse(inverse(c))),X))))))) != multiply(multiply(a,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_80,eq_81]),eq_81]) ).
cnf(eq_92,plain,
multiply(x100,multiply(multiply(inverse(x100),x102),multiply(Y,inverse(Y)))) = x102,
inference(cp,[status(thm)],[eq_87,eq_21]) ).
cnf(eq_93,plain,
multiply(inverse(inverse(x100)),multiply(Y,inverse(Y))) = x100,
inference(cp,[status(thm)],[eq_87,eq_89]) ).
cnf(eq_94,plain,
multiply(x100,multiply(Y,inverse(Y))) = multiply(x100,inverse(multiply(x102,inverse(x102)))),
inference(cp,[status(thm)],[eq_87,eq_68]) ).
cnf(eq_95,plain,
multiply(multiply(x100,inverse(X)),multiply(Y,inverse(Y))) = multiply(multiply(x100,x103),inverse(multiply(X,x103))),
inference(cp,[status(thm)],[eq_87,eq_44]) ).
cnf(eq_96,plain,
X = inverse(inverse(inverse(inverse(X)))),
inference(rw,[status(thm)],[eq_93,eq_71]) ).
cnf(eq_97,plain,
inverse(inverse(X)) = multiply(X,inverse(multiply(Y,inverse(Y)))),
inference(rw,[status(thm)],[eq_94,eq_71]) ).
cnf(eq_98,plain,
X = multiply(Y,inverse(inverse(multiply(inverse(Y),X)))),
inference(rw,[status(thm)],[eq_92,eq_71]) ).
cnf(eq_99,plain,
inverse(inverse(multiply(X,inverse(Y)))) = multiply(multiply(X,W),inverse(multiply(Y,W))),
inference(rw,[status(thm)],[eq_95,eq_71]) ).
cnf(eq_100,plain,
multiply(x100,X) = multiply(inverse(inverse(inverse(inverse(x100)))),X),
inference(cp,[status(thm)],[eq_98,eq_90]) ).
cnf(eq_101,plain,
multiply(x100,inverse(multiply(multiply(X,inverse(X)),multiply(Y,inverse(Y))))) = inverse(inverse(x100)),
inference(cp,[status(thm)],[eq_87,eq_97]) ).
cnf(eq_102,plain,
multiply(Y,inverse(inverse(inverse(inverse(X))))) = multiply(Y,X),
inference(cp,[status(thm)],[eq_81,eq_98]) ).
cnf(eq_103,plain,
multiply(x100,inverse(inverse(X))) = inverse(inverse(multiply(inverse(inverse(x100)),X))),
inference(cp,[status(thm)],[eq_98,eq_98]) ).
cnf(eq_104,plain,
inverse(inverse(X)) = multiply(X,inverse(inverse(inverse(multiply(Y,inverse(Y)))))),
inference(rw,[status(thm)],[eq_101,eq_71]) ).
cnf(eq_105,plain,
multiply(X,Y) = multiply(X,inverse(inverse(inverse(inverse(Y))))),
eq_102 ).
cnf(eq_106,plain,
multiply(X,Y) = multiply(inverse(inverse(inverse(inverse(X)))),Y),
eq_100 ).
cnf(eq_107,plain,
inverse(inverse(multiply(inverse(inverse(X)),Y))) = multiply(X,inverse(inverse(Y))),
eq_103 ).
cnf(eq_108,plain,
multiply(inverse(inverse(x100)),X) = inverse(inverse(multiply(x100,inverse(inverse(X))))),
inference(cp,[status(thm)],[eq_96,eq_88]) ).
cnf(eq_109,plain,
inverse(inverse(multiply(X,inverse(inverse(Y))))) = multiply(inverse(inverse(X)),Y),
eq_108 ).
cnf(eq_110,negated_conjecture,
inverse(multiply(X,inverse(inverse(inverse(multiply(a,multiply(inverse(inverse(multiply(b,c))),X))))))) != multiply(multiply(a,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_88]),eq_107]) ).
cnf(eq_111,negated_conjecture,
inverse(multiply(Y,inverse(inverse(inverse(multiply(a,inverse(inverse(multiply(multiply(b,c),inverse(inverse(Y))))))))))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_109,eq_110]) ).
cnf(eq_112,negated_conjecture,
inverse(multiply(X,inverse(inverse(inverse(multiply(a,inverse(inverse(multiply(multiply(b,c),inverse(inverse(X))))))))))) != multiply(multiply(a,b),c),
eq_111 ).
cnf(eq_113,plain,
inverse(multiply(multiply(inverse(X),inverse(inverse(Y))),inverse(inverse(inverse(multiply(W,Y)))))) = multiply(W,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_81]),eq_109]),eq_109]),eq_81]),eq_96]) ).
cnf(eq_114,plain,
inverse(inverse(inverse(inverse(multiply(X,Y))))) = multiply(X,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_109]),eq_109]),eq_105]) ).
cnf(eq_115,plain,
inverse(X) = inverse(inverse(inverse(inverse(inverse(X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_109]),eq_104]) ).
cnf(eq_116,plain,
X = multiply(inverse(Y),inverse(multiply(inverse(X),inverse(Y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_99]),eq_81]),eq_96]) ).
cnf(eq_117,plain,
X = inverse(multiply(inverse(multiply(inverse(Y),X)),inverse(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_99]),eq_81]),eq_96]) ).
cnf(eq_118,plain,
inverse(inverse(multiply(multiply(inverse(inverse(x100)),inverse(inverse(Y))),inverse(inverse(inverse(multiply(inverse(multiply(inverse(x100),x101)),Y))))))) = x101,
inference(cp,[status(thm)],[eq_113,eq_117]) ).
cnf(eq_119,plain,
inverse(multiply(inverse(inverse(multiply(X,inverse(inverse(inverse(inverse(x101))))))),inverse(inverse(inverse(multiply(x102,x101)))))) = multiply(x102,inverse(X)),
inference(cp,[status(thm)],[eq_109,eq_113]) ).
cnf(eq_120,plain,
multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(inverse(x101),X))) = x101,
inference(cp,[status(thm)],[eq_96,eq_116]) ).
cnf(eq_121,plain,
X = multiply(Y,inverse(multiply(inverse(X),Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_120,eq_109]),eq_109]),eq_114]),eq_114]) ).
cnf(eq_122,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_109]),eq_105]),eq_109]),eq_114]),eq_99]),eq_98]),eq_115]) ).
cnf(eq_123,plain,
inverse(multiply(X,inverse(Y))) = multiply(Y,inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_119,eq_105]),eq_109]),eq_114]),eq_99]),eq_114]) ).
cnf(eq_124,negated_conjecture,
inverse(multiply(X,inverse(multiply(a,multiply(multiply(b,c),X))))) != multiply(multiply(a,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_112,eq_122]),eq_122]),eq_122]) ).
cnf(eq_125,plain,
multiply(multiply(Y,X),inverse(inverse(inverse(X)))) = Y,
inference(cp,[status(thm)],[eq_81,eq_121]) ).
cnf(eq_126,plain,
X = multiply(multiply(X,Y),inverse(Y)),
inference(rw,[status(thm)],[eq_125,eq_122]) ).
cnf(eq_127,negated_conjecture,
inverse(multiply(inverse(c),inverse(multiply(a,b)))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_126,eq_124]) ).
cnf(eq_128,negated_conjecture,
multiply(multiply(a,b),inverse(inverse(c))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_123,eq_127]) ).
cnf(eq_129,negated_conjecture,
multiply(multiply(a,b),c) != multiply(multiply(a,b),c),
inference(rw,[status(thm)],[eq_128,eq_122]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:40:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 29.27/29.46 % SZS status Unsatisfiable
% 29.27/29.46 % SZS output start CNFRefutation for /tmp/MaedMax_12728
% See solution above
% 29.27/29.47
%------------------------------------------------------------------------------