TSTP Solution File: GRP200-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% 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 : 300s
% DateTime : Tue Jul 26 07:02:25 EDT 2022
% Result : Unsatisfiable 63.42s 63.63s
% Output : CNFRefutation 63.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of clauses : 158 ( 158 unt; 0 nHn; 10 RR)
% Number of literals : 158 ( 157 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 265 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_5730') ).
cnf(eq_1,axiom,
X = multiply(X,identity),
file('/tmp/MaedMax_5730') ).
cnf(eq_2,axiom,
X = multiply(Y,left_division(Y,X)),
file('/tmp/MaedMax_5730') ).
cnf(eq_3,axiom,
X = left_division(Y,multiply(Y,X)),
file('/tmp/MaedMax_5730') ).
cnf(eq_4,axiom,
X = multiply(right_division(X,Y),Y),
file('/tmp/MaedMax_5730') ).
cnf(eq_5,axiom,
X = right_division(multiply(X,Y),Y),
file('/tmp/MaedMax_5730') ).
cnf(eq_6,axiom,
identity = multiply(X,right_inverse(X)),
file('/tmp/MaedMax_5730') ).
cnf(eq_7,axiom,
identity = multiply(left_inverse(X),X),
file('/tmp/MaedMax_5730') ).
cnf(eq_8,axiom,
multiply(multiply(X,Y),multiply(Z,X)) = multiply(multiply(X,multiply(Y,Z)),X),
file('/tmp/MaedMax_5730') ).
cnf(eq_9,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/tmp/MaedMax_5730') ).
cnf(eq_10,plain,
X = right_division(X,identity),
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_11,plain,
multiply(multiply(x100,X),x100) = multiply(multiply(x100,right_division(X,Y)),multiply(Y,x100)),
inference(cp,[status(thm)],[eq_4,eq_8]) ).
cnf(eq_12,plain,
multiply(multiply(x100,identity),x100) = multiply(multiply(x100,X),multiply(right_inverse(X),x100)),
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_13,plain,
multiply(multiply(x100,X),x100) = multiply(multiply(x100,identity),multiply(X,x100)),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_14,plain,
left_division(right_division(X,Y),X) = Y,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_15,plain,
left_division(left_inverse(X),identity) = X,
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_16,plain,
left_division(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),multiply(Z,X))) = X,
inference(cp,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_17,plain,
left_division(X,identity) = right_inverse(X),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_18,plain,
right_division(identity,X) = left_inverse(X),
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_19,plain,
right_division(multiply(multiply(X,Y),multiply(Z,X)),X) = multiply(X,multiply(Y,Z)),
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_20,plain,
right_division(identity,right_inverse(X)) = X,
inference(cp,[status(thm)],[eq_6,eq_5]) ).
cnf(eq_21,plain,
right_division(X,left_division(Y,X)) = Y,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_22,plain,
X = left_division(right_division(Y,X),Y),
eq_14 ).
cnf(eq_23,plain,
X = right_division(Y,left_division(X,Y)),
eq_21 ).
cnf(eq_24,plain,
multiply(multiply(X,Y),X) = multiply(multiply(X,right_division(Y,Z)),multiply(Z,X)),
eq_11 ).
cnf(eq_25,plain,
multiply(X,multiply(Y,X)) = multiply(multiply(X,Y),X),
inference(rw,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_26,plain,
multiply(X,X) = multiply(multiply(X,Y),multiply(right_inverse(Y),X)),
inference(rw,[status(thm)],[eq_12,eq_1]) ).
cnf(eq_27,plain,
X = right_inverse(left_inverse(X)),
inference(cp,[status(thm)],[eq_15,eq_17]) ).
cnf(eq_28,plain,
X = left_inverse(right_inverse(X)),
inference(cp,[status(thm)],[eq_20,eq_18]) ).
cnf(eq_29,plain,
X = left_inverse(left_division(X,identity)),
inference(rw,[status(thm)],[eq_28,eq_17]) ).
cnf(eq_30,plain,
left_division(multiply(X,Y),multiply(X,multiply(Y,X))) = X,
inference(cp,[status(thm)],[eq_25,eq_3]) ).
cnf(eq_31,plain,
right_division(multiply(X,multiply(Y,X)),X) = multiply(X,Y),
inference(cp,[status(thm)],[eq_25,eq_5]) ).
cnf(eq_32,plain,
multiply(multiply(X,right_division(Y,Z)),multiply(Z,X)) = multiply(X,multiply(Y,X)),
inference(cp,[status(thm)],[eq_24,eq_25]) ).
cnf(eq_33,plain,
multiply(X,Y) = multiply(Y,multiply(left_division(Y,X),Y)),
inference(cp,[status(thm)],[eq_2,eq_25]) ).
cnf(eq_34,plain,
right_division(multiply(identity,multiply(x102,left_inverse(X))),left_inverse(X)) = multiply(left_inverse(X),multiply(X,x102)),
inference(cp,[status(thm)],[eq_7,eq_19]) ).
cnf(eq_35,plain,
right_division(multiply(X,multiply(x102,X)),X) = multiply(X,multiply(identity,x102)),
inference(cp,[status(thm)],[eq_1,eq_19]) ).
cnf(eq_36,plain,
multiply(X,multiply(Y,X)) = multiply(multiply(X,right_division(Y,Z)),multiply(Z,X)),
eq_32 ).
cnf(eq_37,plain,
multiply(X,Y) = right_division(multiply(X,multiply(Y,X)),X),
inference(rw,[status(thm)],[eq_35,eq_0]) ).
cnf(eq_38,plain,
X = multiply(left_inverse(Y),multiply(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_0]),eq_5]) ).
cnf(eq_39,plain,
multiply(X,multiply(left_division(X,identity),x101)) = x101,
inference(cp,[status(thm)],[eq_29,eq_38]) ).
cnf(eq_40,plain,
multiply(left_inverse(right_division(X,Y)),X) = Y,
inference(cp,[status(thm)],[eq_4,eq_38]) ).
cnf(eq_41,plain,
multiply(left_inverse(left_inverse(X)),identity) = X,
inference(cp,[status(thm)],[eq_7,eq_38]) ).
cnf(eq_42,plain,
multiply(left_inverse(Y),X) = left_division(Y,X),
inference(cp,[status(thm)],[eq_2,eq_38]) ).
cnf(eq_43,plain,
left_division(left_inverse(Y),X) = multiply(Y,X),
inference(cp,[status(thm)],[eq_38,eq_3]) ).
cnf(eq_44,plain,
left_division(Y,multiply(X,Y)) = multiply(left_division(Y,X),Y),
inference(cp,[status(thm)],[eq_33,eq_3]) ).
cnf(eq_45,plain,
left_division(multiply(X,Y),multiply(multiply(Y,left_division(Y,X)),multiply(Y,Y))) = Y,
inference(cp,[status(thm)],[eq_33,eq_16]) ).
cnf(eq_46,plain,
right_division(X,multiply(Y,X)) = left_inverse(Y),
inference(cp,[status(thm)],[eq_38,eq_5]) ).
cnf(eq_47,plain,
right_division(multiply(Y,X),Y) = multiply(Y,right_division(X,Y)),
inference(cp,[status(thm)],[eq_4,eq_31]) ).
cnf(eq_48,plain,
multiply(left_inverse(X),Y) = left_division(X,Y),
eq_42 ).
cnf(eq_49,plain,
X = multiply(Y,multiply(left_division(Y,identity),X)),
eq_39 ).
cnf(eq_50,plain,
multiply(X,Y) = left_division(left_inverse(X),Y),
eq_43 ).
cnf(eq_51,plain,
X = left_inverse(left_inverse(X)),
inference(rw,[status(thm)],[eq_41,eq_1]) ).
cnf(eq_52,plain,
multiply(X,right_division(Y,X)) = right_division(multiply(X,Y),X),
eq_47 ).
cnf(eq_53,plain,
X = left_division(multiply(Y,X),multiply(Y,multiply(X,X))),
inference(rw,[status(thm)],[eq_45,eq_2]) ).
cnf(eq_54,plain,
multiply(left_division(X,Y),X) = left_division(X,multiply(Y,X)),
eq_44 ).
cnf(eq_55,plain,
X = multiply(left_inverse(right_division(Y,X)),Y),
eq_40 ).
cnf(eq_56,plain,
left_division(X,identity) = left_inverse(X),
inference(cp,[status(thm)],[eq_48,eq_1]) ).
cnf(eq_57,plain,
multiply(multiply(Y,x101),left_division(left_inverse(right_inverse(x101)),Y)) = multiply(Y,Y),
inference(cp,[status(thm)],[eq_50,eq_26]) ).
cnf(eq_58,plain,
right_division(X,Y) = left_inverse(right_division(Y,X)),
inference(cp,[status(thm)],[eq_55,eq_5]) ).
cnf(eq_59,plain,
right_division(left_division(X,Y),Y) = left_inverse(X),
inference(cp,[status(thm)],[eq_48,eq_5]) ).
cnf(eq_60,plain,
right_division(left_division(X,multiply(Y,X)),X) = left_division(X,Y),
inference(cp,[status(thm)],[eq_54,eq_5]) ).
cnf(eq_61,plain,
right_inverse(X) = left_inverse(X),
inference(cp,[status(thm)],[eq_51,eq_27]) ).
cnf(eq_62,plain,
left_division(X,x101) = multiply(right_inverse(X),x101),
inference(cp,[status(thm)],[eq_28,eq_50]) ).
cnf(eq_63,plain,
multiply(right_inverse(X),Y) = left_division(X,Y),
eq_62 ).
cnf(eq_64,plain,
multiply(X,X) = multiply(multiply(X,Y),left_division(Y,X)),
inference(rw,[status(thm)],[eq_57,eq_28]) ).
cnf(eq_65,plain,
multiply(X,Y) = left_division(left_division(X,identity),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_61]),eq_17]) ).
cnf(eq_66,plain,
left_division(right_division(X,Y),identity) = right_division(Y,X),
inference(rw,[status(thm)],[eq_58,eq_56]) ).
cnf(eq_67,plain,
left_division(X,identity) = right_division(identity,X),
inference(rw,[status(thm)],[eq_18,eq_56]) ).
cnf(eq_68,plain,
left_division(X,identity) = right_division(left_division(X,Y),Y),
inference(rw,[status(thm)],[eq_59,eq_56]) ).
cnf(eq_69,plain,
left_division(X,identity) = right_division(Y,multiply(X,Y)),
inference(rw,[status(thm)],[eq_46,eq_56]) ).
cnf(eq_70,plain,
multiply(X,multiply(right_division(identity,X),x101)) = x101,
inference(cp,[status(thm)],[eq_67,eq_49]) ).
cnf(eq_71,plain,
right_division(identity,right_division(Y,X)) = right_division(X,Y),
inference(cp,[status(thm)],[eq_66,eq_23]) ).
cnf(eq_72,plain,
X = right_division(identity,right_division(identity,X)),
inference(cp,[status(thm)],[eq_22,eq_67]) ).
cnf(eq_73,plain,
left_division(multiply(X,Y),identity) = right_division(X,multiply(X,multiply(Y,X))),
inference(cp,[status(thm)],[eq_31,eq_66]) ).
cnf(eq_74,plain,
X = multiply(Y,multiply(right_division(identity,Y),X)),
eq_70 ).
cnf(eq_75,plain,
left_division(multiply(X,Y),multiply(X,X)) = left_division(Y,X),
inference(cp,[status(thm)],[eq_64,eq_3]) ).
cnf(eq_76,plain,
right_division(multiply(X,X),left_division(Y,X)) = multiply(X,Y),
inference(cp,[status(thm)],[eq_64,eq_5]) ).
cnf(eq_77,plain,
right_division(Y,multiply(Y,Y)) = left_division(multiply(Y,Y),Y),
inference(cp,[status(thm)],[eq_30,eq_60]) ).
cnf(eq_78,plain,
right_division(left_division(Y,X),Y) = left_division(Y,right_division(X,Y)),
inference(cp,[status(thm)],[eq_4,eq_60]) ).
cnf(eq_79,plain,
left_division(X,right_division(Y,X)) = right_division(left_division(X,Y),X),
eq_78 ).
cnf(eq_80,plain,
left_division(X,Y) = left_division(multiply(Y,X),multiply(Y,Y)),
eq_75 ).
cnf(eq_81,plain,
left_division(X,identity) = left_division(multiply(X,X),X),
inference(rw,[status(thm)],[eq_77,eq_69]) ).
cnf(eq_82,plain,
right_inverse(X) = right_division(identity,X),
inference(rw,[status(thm)],[eq_17,eq_67]) ).
cnf(eq_83,plain,
multiply(X,Y) = left_division(right_division(identity,X),Y),
inference(rw,[status(thm)],[eq_65,eq_67]) ).
cnf(eq_84,plain,
right_division(X,multiply(Y,X)) = right_division(identity,Y),
inference(rw,[status(thm)],[eq_46,eq_18]) ).
cnf(eq_85,plain,
right_division(X,multiply(X,multiply(Y,X))) = right_division(identity,multiply(X,Y)),
inference(rw,[status(thm)],[eq_73,eq_67]) ).
cnf(eq_86,plain,
multiply(multiply(Y,X),X) = multiply(Y,multiply(X,X)),
inference(cp,[status(thm)],[eq_53,eq_2]) ).
cnf(eq_87,plain,
left_division(X,multiply(Y,Y)) = left_division(left_division(Y,X),Y),
inference(cp,[status(thm)],[eq_2,eq_80]) ).
cnf(eq_88,plain,
right_division(X,left_division(X,identity)) = multiply(X,X),
inference(cp,[status(thm)],[eq_81,eq_23]) ).
cnf(eq_89,plain,
right_division(multiply(Y,Y),X) = multiply(Y,right_division(Y,X)),
inference(cp,[status(thm)],[eq_22,eq_76]) ).
cnf(eq_90,plain,
right_division(right_division(identity,X),X) = left_division(X,right_division(identity,X)),
inference(cp,[status(thm)],[eq_67,eq_79]) ).
cnf(eq_91,plain,
multiply(X,X) = right_division(X,right_division(identity,X)),
inference(rw,[status(thm)],[eq_88,eq_67]) ).
cnf(eq_92,plain,
left_division(X,right_division(identity,X)) = right_division(right_division(identity,X),X),
eq_90 ).
cnf(eq_93,plain,
multiply(X,right_division(X,Y)) = right_division(multiply(X,X),Y),
eq_89 ).
cnf(eq_94,plain,
multiply(X,multiply(Y,Y)) = multiply(multiply(X,Y),Y),
eq_86 ).
cnf(eq_95,plain,
right_division(X,right_division(identity,X)) = left_division(right_division(identity,X),X),
inference(cp,[status(thm)],[eq_91,eq_83]) ).
cnf(eq_96,plain,
left_division(right_division(identity,X),X) = right_division(X,right_division(identity,X)),
eq_95 ).
cnf(eq_97,plain,
left_division(X,left_division(left_division(Y,identity),Y)) = left_division(left_division(Y,X),Y),
inference(rw,[status(thm)],[eq_87,eq_65]) ).
cnf(eq_98,plain,
left_division(X,left_division(X,identity)) = right_division(left_division(X,identity),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_92,eq_67]),eq_67]) ).
cnf(eq_99,plain,
right_division(right_division(left_division(X,Y),X),right_division(Y,X)) = left_division(X,identity),
inference(cp,[status(thm)],[eq_79,eq_68]) ).
cnf(eq_100,plain,
right_division(left_division(X,identity),right_division(left_division(X,identity),X)) = X,
inference(cp,[status(thm)],[eq_98,eq_23]) ).
cnf(eq_101,plain,
right_division(Y,left_division(X,left_division(left_division(Y,identity),Y))) = left_division(Y,X),
inference(cp,[status(thm)],[eq_97,eq_23]) ).
cnf(eq_102,plain,
right_division(right_division(X,right_division(Y,X)),right_division(Y,right_division(Y,X))) = left_division(right_division(Y,X),identity),
inference(cp,[status(thm)],[eq_22,eq_99]) ).
cnf(eq_103,plain,
X = right_division(left_division(X,identity),right_division(left_division(X,identity),X)),
eq_100 ).
cnf(eq_104,plain,
left_division(X,Y) = right_division(X,left_division(Y,left_division(left_division(X,identity),X))),
eq_101 ).
cnf(eq_105,plain,
right_division(X,Y) = right_division(right_division(X,right_division(Y,X)),right_division(Y,right_division(Y,X))),
inference(rw,[status(thm)],[eq_102,eq_66]) ).
cnf(eq_106,plain,
right_division(identity,X) = right_inverse(X),
inference(rw,[status(thm)],[eq_17,eq_67]) ).
cnf(eq_107,plain,
left_division(X,Y) = right_division(X,left_division(Y,left_division(right_division(identity,X),X))),
inference(rw,[status(thm)],[eq_104,eq_67]) ).
cnf(eq_108,plain,
left_division(X,Y) = right_division(X,left_division(Y,right_division(X,right_division(identity,X)))),
inference(rw,[status(thm)],[eq_107,eq_96]) ).
cnf(eq_109,plain,
right_division(Y,right_division(X,left_division(Y,right_division(X,right_division(identity,X))))) = X,
inference(cp,[status(thm)],[eq_108,eq_23]) ).
cnf(eq_110,plain,
X = right_division(Y,right_division(X,left_division(Y,right_division(X,right_division(identity,X))))),
eq_109 ).
cnf(eq_111,plain,
left_division(X,Y) = multiply(right_division(identity,X),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_61]),eq_82]) ).
cnf(eq_112,plain,
X = right_division(Y,right_division(X,multiply(right_division(identity,Y),multiply(X,X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_110,eq_91]),eq_111]) ).
cnf(eq_113,plain,
right_division(X,multiply(Y,X)) = right_inverse(Y),
inference(rw,[status(thm)],[eq_84,eq_106]) ).
cnf(eq_114,plain,
X = right_inverse(right_inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_106]),eq_106]) ).
cnf(eq_115,plain,
right_division(X,Y) = right_inverse(right_division(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_63]),eq_1]) ).
cnf(eq_116,plain,
X = right_division(right_inverse(X),right_division(right_inverse(X),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_103,eq_63]),eq_63]),eq_1]),eq_1]) ).
cnf(eq_117,plain,
multiply(X,Y) = multiply(right_division(X,Y),multiply(Y,Y)),
inference(cp,[status(thm)],[eq_4,eq_94]) ).
cnf(eq_118,plain,
right_division(multiply(Y,Y),multiply(X,Y)) = right_division(identity,right_division(X,Y)),
inference(cp,[status(thm)],[eq_117,eq_84]) ).
cnf(eq_119,plain,
multiply(X,right_division(identity,Y)) = right_division(X,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_93]),eq_84]),eq_71]) ).
cnf(eq_120,plain,
multiply(x100,right_division(right_division(identity,x100),Y)) = right_division(identity,Y),
inference(cp,[status(thm)],[eq_119,eq_74]) ).
cnf(eq_121,plain,
right_division(right_division(identity,Y),right_division(X,Y)) = left_inverse(X),
inference(cp,[status(thm)],[eq_119,eq_46]) ).
cnf(eq_122,plain,
X = right_division(right_division(X,right_division(identity,x101)),x101),
inference(cp,[status(thm)],[eq_4,eq_119]) ).
cnf(eq_123,plain,
multiply(x100,right_division(X,Y)) = right_division(x100,right_division(Y,X)),
inference(cp,[status(thm)],[eq_71,eq_119]) ).
cnf(eq_124,plain,
multiply(x100,X) = right_division(x100,right_division(X,multiply(right_division(identity,identity),multiply(X,X)))),
inference(cp,[status(thm)],[eq_112,eq_119]) ).
cnf(eq_125,plain,
multiply(X,right_division(right_division(identity,X),Y)) = right_division(identity,Y),
eq_120 ).
cnf(eq_126,plain,
multiply(X,Y) = right_division(X,right_division(identity,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_124,eq_10]),eq_0]),eq_84]) ).
cnf(eq_127,plain,
X = right_division(right_division(X,right_division(identity,Y)),Y),
eq_122 ).
cnf(eq_128,plain,
right_division(identity,X) = right_division(right_division(identity,Y),right_division(X,Y)),
inference(rw,[status(thm)],[eq_121,eq_18]) ).
cnf(eq_129,plain,
multiply(X,right_division(Y,Z)) = right_division(X,right_division(Z,Y)),
eq_123 ).
cnf(eq_130,plain,
right_division(X,right_division(Y,X)) = right_division(right_division(X,right_division(identity,X)),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_126]),eq_71]),eq_126]) ).
cnf(eq_131,plain,
right_division(right_division(identity,right_division(Y,right_division(Y,X))),right_division(X,Y)) = right_division(identity,right_division(X,right_division(Y,X))),
inference(cp,[status(thm)],[eq_105,eq_128]) ).
cnf(eq_132,plain,
right_division(right_division(X,Y),Y) = right_division(right_division(right_division(X,Y),X),right_division(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_131,eq_71]),eq_71]) ).
cnf(eq_133,negated_conjecture,
multiply(a,multiply(multiply(b,right_division(c,Z)),multiply(Z,b))) != multiply(multiply(multiply(a,b),c),b),
inference(cp,[status(thm)],[eq_36,eq_9]) ).
cnf(eq_134,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(multiply(b,right_division(c,X)),multiply(X,b))),
eq_133 ).
cnf(eq_135,negated_conjecture,
right_division(right_division(right_division(a,right_division(identity,b)),right_division(identity,c)),right_division(identity,b)) != right_division(a,right_division(right_division(right_division(identity,b),X),right_division(b,right_division(X,c)))),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_134,eq_126]),eq_126]),eq_126]),eq_126]),eq_126]),eq_71]),eq_126]),eq_71]),eq_126]),eq_71]) ).
cnf(eq_136,plain,
right_division(multiply(X,Y),X) = right_division(X,right_division(X,Y)),
inference(rw,[status(thm)],[eq_52,eq_129]) ).
cnf(eq_137,plain,
right_division(right_inverse(X),right_division(Y,X)) = right_inverse(Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_128,eq_106]),eq_106]) ).
cnf(eq_138,plain,
multiply(X,Y) = right_division(X,right_inverse(Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_136]),eq_113]) ).
cnf(eq_139,plain,
right_division(X,right_division(Y,right_inverse(X))) = right_inverse(Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_106]),eq_129]),eq_106]) ).
cnf(eq_140,plain,
X = right_division(right_division(X,right_inverse(Y)),Y),
inference(rw,[status(thm)],[eq_127,eq_106]) ).
cnf(eq_141,plain,
right_division(X,right_division(Y,X)) = right_division(right_division(X,right_inverse(X)),Y),
inference(rw,[status(thm)],[eq_130,eq_106]) ).
cnf(eq_142,negated_conjecture,
right_division(right_division(right_division(a,right_inverse(b)),right_inverse(c)),right_inverse(b)) != right_division(a,right_division(right_division(right_inverse(b),X),right_division(b,right_division(X,c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_135,eq_106]),eq_106]),eq_106]),eq_106]) ).
cnf(eq_143,plain,
right_division(right_division(right_inverse(Y),X),right_division(right_division(Y,right_inverse(X)),X)) = right_division(right_division(X,right_division(Y,right_inverse(X))),right_division(Y,right_inverse(X))),
inference(cp,[status(thm)],[eq_139,eq_132]) ).
cnf(eq_144,negated_conjecture,
right_division(a,right_division(b,right_division(b,right_division(right_division(right_inverse(b),b),c)))) != right_division(right_division(right_division(a,right_inverse(b)),right_inverse(c)),right_inverse(b)),
inference(cp,[status(thm)],[eq_116,eq_142]) ).
cnf(eq_145,negated_conjecture,
right_division(right_division(right_division(a,right_inverse(b)),right_inverse(c)),right_inverse(b)) != right_division(a,right_division(b,right_division(b,right_division(right_division(right_inverse(b),b),c)))),
eq_144 ).
cnf(eq_146,plain,
right_division(X,right_division(right_inverse(X),Y)) = right_division(right_division(X,right_division(Z,Y)),right_division(right_inverse(X),Z)),
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)],[inference(rw,[status(thm)],[eq_36,eq_138]),eq_138]),eq_115]),eq_138]),eq_138]),eq_115]),eq_138]),eq_115]) ).
cnf(eq_147,plain,
right_division(X,right_division(X,right_division(right_inverse(X),Y))) = right_division(right_inverse(Y),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)],[eq_85,eq_138]),eq_138]),eq_115]),eq_138]),eq_106]),eq_115]) ).
cnf(eq_148,plain,
right_division(right_division(right_inverse(X),Y),X) = right_division(right_inverse(X),right_division(X,right_inverse(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_143,eq_140]),eq_139]) ).
cnf(eq_149,plain,
right_division(right_division(right_inverse(X),X),x101) = right_division(right_inverse(X),right_division(x101,right_inverse(X))),
inference(cp,[status(thm)],[eq_114,eq_141]) ).
cnf(eq_150,plain,
right_division(right_division(right_inverse(X),X),Y) = right_division(right_inverse(X),right_division(Y,right_inverse(X))),
eq_149 ).
cnf(eq_151,plain,
right_division(X,right_division(X,right_division(right_division(right_inverse(X),X),Y))) = right_division(right_inverse(right_division(Y,right_inverse(X))),X),
inference(cp,[status(thm)],[eq_150,eq_147]) ).
cnf(eq_152,plain,
right_division(X,right_division(X,right_division(right_division(right_inverse(X),X),Y))) = right_division(right_division(right_inverse(X),Y),X),
inference(rw,[status(thm)],[eq_151,eq_115]) ).
cnf(eq_153,plain,
right_division(right_inverse(right_division(right_inverse(X),Z)),right_division(X,right_division(right_inverse(X),Y))) = right_inverse(right_division(X,right_division(Z,Y))),
inference(cp,[status(thm)],[eq_146,eq_137]) ).
cnf(eq_154,plain,
right_division(right_division(X,Y),Z) = right_division(right_division(X,right_inverse(Z)),right_division(Z,right_division(right_inverse(Z),Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_153,eq_115]),eq_115]) ).
cnf(eq_155,negated_conjecture,
right_division(right_division(right_division(a,right_inverse(b)),right_inverse(right_inverse(b))),right_division(right_inverse(b),right_division(right_inverse(right_inverse(b)),right_inverse(c)))) != right_division(a,right_division(b,right_division(b,right_division(right_division(right_inverse(b),b),c)))),
inference(cp,[status(thm)],[eq_154,eq_145]) ).
cnf(eq_156,negated_conjecture,
right_division(a,right_division(right_division(right_inverse(b),c),b)) != right_division(a,right_division(right_division(right_inverse(b),c),b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_155,eq_114]),eq_114]),eq_140]),eq_148]),eq_152]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 04:25:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 63.42/63.63 % SZS status Unsatisfiable
% 63.42/63.63 % SZS output start CNFRefutation for /tmp/MaedMax_5730
% See solution above
% 63.42/63.63
%------------------------------------------------------------------------------