TSTP Solution File: GRP201-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP201-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n010.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 07:02:26 EDT 2022
% Result : Unsatisfiable 59.97s 60.18s
% Output : CNFRefutation 59.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of clauses : 132 ( 132 unt; 0 nHn; 9 RR)
% Number of literals : 132 ( 131 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 227 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_5472') ).
cnf(eq_1,axiom,
X = multiply(X,identity),
file('/tmp/MaedMax_5472') ).
cnf(eq_2,axiom,
X = multiply(Y,left_division(Y,X)),
file('/tmp/MaedMax_5472') ).
cnf(eq_3,axiom,
X = left_division(Y,multiply(Y,X)),
file('/tmp/MaedMax_5472') ).
cnf(eq_4,axiom,
X = multiply(right_division(X,Y),Y),
file('/tmp/MaedMax_5472') ).
cnf(eq_5,axiom,
X = right_division(multiply(X,Y),Y),
file('/tmp/MaedMax_5472') ).
cnf(eq_6,axiom,
identity = multiply(X,right_inverse(X)),
file('/tmp/MaedMax_5472') ).
cnf(eq_7,axiom,
identity = multiply(left_inverse(X),X),
file('/tmp/MaedMax_5472') ).
cnf(eq_8,axiom,
multiply(X,multiply(Y,multiply(Z,Y))) = multiply(multiply(multiply(X,Y),Z),Y),
file('/tmp/MaedMax_5472') ).
cnf(eq_9,negated_conjecture,
multiply(multiply(multiply(a,b),a),c) != multiply(a,multiply(b,multiply(a,c))),
file('/tmp/MaedMax_5472') ).
cnf(eq_10,plain,
X = right_division(X,identity),
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_11,plain,
multiply(multiply(x100,x101),x101) = multiply(x100,multiply(x101,multiply(identity,x101))),
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_12,plain,
multiply(multiply(X,x102),Y) = multiply(right_division(X,Y),multiply(Y,multiply(x102,Y))),
inference(cp,[status(thm)],[eq_4,eq_8]) ).
cnf(eq_13,plain,
multiply(multiply(identity,x102),right_inverse(X)) = multiply(X,multiply(right_inverse(X),multiply(x102,right_inverse(X)))),
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_14,plain,
multiply(multiply(X,x102),X) = multiply(identity,multiply(X,multiply(x102,X))),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_15,plain,
left_division(right_division(X,Y),X) = Y,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_16,plain,
left_division(left_inverse(X),identity) = X,
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_17,plain,
left_division(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,multiply(Z,Y)))) = Y,
inference(cp,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_18,plain,
left_division(X,identity) = right_inverse(X),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_19,plain,
right_division(identity,X) = left_inverse(X),
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_20,plain,
right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y) = multiply(multiply(X,Y),Z),
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_21,plain,
right_division(X,X) = identity,
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_22,plain,
X = left_division(right_division(Y,X),Y),
eq_15 ).
cnf(eq_23,plain,
multiply(multiply(X,Y),Z) = right_division(multiply(X,multiply(Y,multiply(Z,Y))),Y),
eq_20 ).
cnf(eq_24,plain,
multiply(multiply(X,Y),Z) = multiply(right_division(X,Z),multiply(Z,multiply(Y,Z))),
eq_12 ).
cnf(eq_25,plain,
multiply(X,multiply(Y,X)) = multiply(multiply(X,Y),X),
inference(rw,[status(thm)],[eq_14,eq_0]) ).
cnf(eq_26,plain,
multiply(X,multiply(Y,Y)) = multiply(multiply(X,Y),Y),
inference(rw,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_27,plain,
X = left_division(multiply(multiply(Y,X),Z),multiply(Y,multiply(X,multiply(Z,X)))),
eq_17 ).
cnf(eq_28,plain,
multiply(X,multiply(right_inverse(X),multiply(Y,right_inverse(X)))) = multiply(Y,right_inverse(X)),
inference(rw,[status(thm)],[eq_13,eq_0]) ).
cnf(eq_29,plain,
X = right_inverse(left_inverse(X)),
inference(cp,[status(thm)],[eq_16,eq_18]) ).
cnf(eq_30,plain,
X = right_inverse(right_division(identity,X)),
inference(rw,[status(thm)],[eq_29,eq_19]) ).
cnf(eq_31,plain,
left_division(multiply(X,Y),multiply(X,multiply(Y,X))) = X,
inference(cp,[status(thm)],[eq_25,eq_3]) ).
cnf(eq_32,plain,
right_division(multiply(X,multiply(Y,Y)),Y) = multiply(X,Y),
inference(cp,[status(thm)],[eq_26,eq_5]) ).
cnf(eq_33,plain,
right_division(multiply(X,multiply(Y,X)),X) = multiply(X,Y),
inference(cp,[status(thm)],[eq_25,eq_5]) ).
cnf(eq_34,plain,
multiply(Y,X) = multiply(multiply(Y,right_division(X,Y)),Y),
inference(cp,[status(thm)],[eq_4,eq_25]) ).
cnf(eq_35,plain,
multiply(X,Y) = multiply(right_division(X,Y),multiply(Y,Y)),
inference(cp,[status(thm)],[eq_4,eq_26]) ).
cnf(eq_36,plain,
multiply(x100,x101) = right_division(multiply(x100,multiply(x101,multiply(identity,x101))),x101),
inference(cp,[status(thm)],[eq_1,eq_23]) ).
cnf(eq_37,plain,
left_division(multiply(X,multiply(Y,X)),multiply(X,multiply(Y,multiply(X,Y)))) = Y,
inference(cp,[status(thm)],[eq_25,eq_27]) ).
cnf(eq_38,plain,
left_division(multiply(multiply(x100,Y),right_division(X,Y)),multiply(x100,multiply(Y,X))) = Y,
inference(cp,[status(thm)],[eq_4,eq_27]) ).
cnf(eq_39,plain,
multiply(X,Y) = right_division(multiply(X,multiply(Y,Y)),Y),
inference(rw,[status(thm)],[eq_36,eq_0]) ).
cnf(eq_40,plain,
X = left_division(multiply(multiply(Y,X),right_division(Z,X)),multiply(Y,multiply(X,Z))),
eq_38 ).
cnf(eq_41,plain,
X = left_division(multiply(Y,multiply(X,Y)),multiply(Y,multiply(X,multiply(Y,X)))),
eq_37 ).
cnf(eq_42,plain,
multiply(X,Y) = multiply(multiply(X,right_division(Y,X)),X),
eq_34 ).
cnf(eq_43,negated_conjecture,
multiply(multiply(a,multiply(b,a)),c) != multiply(a,multiply(b,multiply(a,c))),
inference(cp,[status(thm)],[eq_25,eq_9]) ).
cnf(eq_44,plain,
multiply(x100,multiply(right_inverse(x100),X)) = multiply(right_division(X,right_inverse(x100)),right_inverse(x100)),
inference(cp,[status(thm)],[eq_4,eq_28]) ).
cnf(eq_45,plain,
multiply(right_division(x100,right_inverse(X)),multiply(right_inverse(X),identity)) = multiply(multiply(x100,X),right_inverse(X)),
inference(cp,[status(thm)],[eq_6,eq_24]) ).
cnf(eq_46,plain,
left_division(right_division(X,Y),multiply(X,Y)) = multiply(Y,Y),
inference(cp,[status(thm)],[eq_35,eq_3]) ).
cnf(eq_47,plain,
right_division(multiply(X,Y),multiply(Y,Y)) = right_division(X,Y),
inference(cp,[status(thm)],[eq_35,eq_5]) ).
cnf(eq_48,plain,
right_division(multiply(right_inverse(X),identity),right_inverse(X)) = multiply(right_inverse(X),X),
inference(cp,[status(thm)],[eq_6,eq_33]) ).
cnf(eq_49,plain,
right_division(X,x101) = multiply(right_division(X,multiply(x101,x101)),x101),
inference(cp,[status(thm)],[eq_4,eq_32]) ).
cnf(eq_50,plain,
right_division(multiply(x100,multiply(right_inverse(X),identity)),right_inverse(X)) = multiply(multiply(x100,right_inverse(X)),X),
inference(cp,[status(thm)],[eq_6,eq_20]) ).
cnf(eq_51,plain,
X = multiply(multiply(X,Y),right_inverse(Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_1]),eq_4]) ).
cnf(eq_52,plain,
X = multiply(Y,multiply(right_inverse(Y),X)),
inference(rw,[status(thm)],[eq_44,eq_4]) ).
cnf(eq_53,plain,
X = multiply(multiply(X,right_inverse(Y)),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_1]),eq_5]) ).
cnf(eq_54,plain,
identity = multiply(right_inverse(X),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_1]),eq_21]) ).
cnf(eq_55,plain,
multiply(right_division(X,multiply(Y,Y)),Y) = right_division(X,Y),
eq_49 ).
cnf(eq_56,plain,
multiply(X,X) = left_division(right_division(Y,X),multiply(Y,X)),
eq_46 ).
cnf(eq_57,plain,
left_division(multiply(Y,right_division(X,Y)),multiply(Y,X)) = Y,
inference(cp,[status(thm)],[eq_4,eq_31]) ).
cnf(eq_58,plain,
right_division(X,multiply(Y,Y)) = right_division(right_division(X,Y),Y),
inference(cp,[status(thm)],[eq_4,eq_47]) ).
cnf(eq_59,plain,
X = left_division(multiply(X,right_division(Y,X)),multiply(X,Y)),
eq_57 ).
cnf(eq_60,plain,
multiply(x100,identity) = right_inverse(right_inverse(x100)),
inference(cp,[status(thm)],[eq_6,eq_52]) ).
cnf(eq_61,plain,
multiply(x100,X) = left_division(right_inverse(x100),X),
inference(cp,[status(thm)],[eq_2,eq_52]) ).
cnf(eq_62,plain,
multiply(X,right_inverse(Y)) = right_division(X,Y),
inference(cp,[status(thm)],[eq_4,eq_51]) ).
cnf(eq_63,plain,
multiply(X,x101) = right_division(X,right_inverse(x101)),
inference(cp,[status(thm)],[eq_4,eq_53]) ).
cnf(eq_64,plain,
left_division(Y,X) = multiply(right_inverse(Y),X),
inference(cp,[status(thm)],[eq_52,eq_3]) ).
cnf(eq_65,plain,
right_division(X,right_inverse(Y)) = multiply(X,Y),
inference(cp,[status(thm)],[eq_51,eq_5]) ).
cnf(eq_66,plain,
right_division(X,multiply(right_inverse(Y),X)) = Y,
inference(cp,[status(thm)],[eq_52,eq_5]) ).
cnf(eq_67,plain,
right_division(identity,X) = right_inverse(X),
inference(cp,[status(thm)],[eq_54,eq_5]) ).
cnf(eq_68,plain,
multiply(X,Y) = right_division(X,right_inverse(Y)),
eq_63 ).
cnf(eq_69,plain,
multiply(X,Y) = left_division(right_inverse(X),Y),
eq_61 ).
cnf(eq_70,plain,
X = right_inverse(right_inverse(X)),
inference(rw,[status(thm)],[eq_60,eq_1]) ).
cnf(eq_71,plain,
X = right_division(Y,multiply(right_inverse(X),Y)),
eq_66 ).
cnf(eq_72,plain,
multiply(right_inverse(X),Y) = left_division(X,Y),
eq_64 ).
cnf(eq_73,plain,
left_division(X,right_division(X,Y)) = right_inverse(Y),
inference(cp,[status(thm)],[eq_62,eq_3]) ).
cnf(eq_74,plain,
right_division(right_division(X,Y),right_inverse(Y)) = X,
inference(cp,[status(thm)],[eq_62,eq_5]) ).
cnf(eq_75,plain,
right_division(left_division(X,Y),Y) = right_inverse(X),
inference(cp,[status(thm)],[eq_72,eq_5]) ).
cnf(eq_76,plain,
X = right_division(right_division(X,Y),right_inverse(Y)),
inference(cp,[status(thm)],[eq_4,eq_68]) ).
cnf(eq_77,plain,
right_division(x100,right_division(identity,X)) = multiply(x100,X),
inference(cp,[status(thm)],[eq_67,eq_65]) ).
cnf(eq_78,plain,
right_division(x100,multiply(X,x100)) = right_inverse(X),
inference(cp,[status(thm)],[eq_70,eq_71]) ).
cnf(eq_79,plain,
X = right_division(identity,right_division(identity,X)),
inference(cp,[status(thm)],[eq_30,eq_67]) ).
cnf(eq_80,plain,
right_division(X,multiply(Y,X)) = right_inverse(Y),
eq_78 ).
cnf(eq_81,plain,
multiply(X,Y) = right_division(X,right_division(identity,Y)),
eq_77 ).
cnf(eq_82,plain,
right_inverse(X) = left_inverse(X),
inference(rw,[status(thm)],[eq_19,eq_67]) ).
cnf(eq_83,negated_conjecture,
left_division(right_inverse(left_division(right_inverse(a),left_division(right_inverse(b),a))),c) != left_division(right_inverse(a),left_division(right_inverse(b),left_division(right_inverse(a),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)],[eq_43,eq_69]),eq_69]),eq_69]),eq_69]),eq_69]),eq_69]) ).
cnf(eq_84,plain,
right_division(X,Y) = right_inverse(right_division(Y,X)),
inference(cp,[status(thm)],[eq_22,eq_75]) ).
cnf(eq_85,plain,
right_division(right_inverse(Y),right_division(X,Y)) = right_inverse(X),
inference(cp,[status(thm)],[eq_73,eq_75]) ).
cnf(eq_86,plain,
right_division(right_inverse(X),right_division(Y,X)) = right_inverse(Y),
eq_85 ).
cnf(eq_87,plain,
right_division(X,right_division(Y,right_inverse(X))) = right_inverse(Y),
inference(rw,[status(thm)],[eq_80,eq_68]) ).
cnf(eq_88,plain,
X = left_inverse(left_inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_19]),eq_19]) ).
cnf(eq_89,plain,
right_division(right_division(x100,left_inverse(X)),X) = x100,
inference(cp,[status(thm)],[eq_29,eq_74]) ).
cnf(eq_90,plain,
right_division(right_division(x100,right_division(Y,X)),right_division(X,Y)) = x100,
inference(cp,[status(thm)],[eq_84,eq_74]) ).
cnf(eq_91,plain,
right_division(X,Y) = left_inverse(right_division(Y,X)),
inference(cp,[status(thm)],[eq_84,eq_82]) ).
cnf(eq_92,plain,
X = right_division(right_division(X,left_inverse(Y)),Y),
eq_89 ).
cnf(eq_93,plain,
X = right_division(right_division(X,right_division(Y,Z)),right_division(Z,Y)),
eq_90 ).
cnf(eq_94,plain,
X = right_division(right_division(X,right_division(identity,Y)),Y),
inference(rw,[status(thm)],[eq_92,eq_19]) ).
cnf(eq_95,plain,
right_division(X,right_division(Y,right_division(identity,X))) = right_division(identity,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_67]),eq_67]) ).
cnf(eq_96,plain,
right_division(X,Y) = right_division(identity,right_division(Y,X)),
inference(rw,[status(thm)],[eq_91,eq_19]) ).
cnf(eq_97,plain,
X = right_division(right_division(X,Y),right_division(identity,Y)),
inference(rw,[status(thm)],[eq_76,eq_67]) ).
cnf(eq_98,plain,
right_division(identity,X) = right_division(right_division(identity,Y),right_division(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_86,eq_67]),eq_67]) ).
cnf(eq_99,plain,
left_division(X,Y) = right_division(right_division(identity,X),right_division(identity,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_67]),eq_68]),eq_67]) ).
cnf(eq_100,plain,
right_division(X,Y) = right_division(right_division(X,right_division(Y,right_division(identity,Y))),right_division(identity,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_81]),eq_81]) ).
cnf(eq_101,plain,
right_division(X,right_division(Y,right_division(identity,Y))) = right_division(right_division(X,Y),Y),
inference(rw,[status(thm)],[eq_58,eq_81]) ).
cnf(eq_102,plain,
right_division(X,right_division(identity,Y)) = right_division(right_division(X,right_division(right_division(identity,Y),Y)),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_81]),eq_81]),eq_81]),eq_96]) ).
cnf(eq_103,plain,
right_division(X,right_division(identity,X)) = right_division(right_division(X,Y),right_division(right_division(identity,X),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_81]),eq_81]),eq_99]),eq_96]),eq_96]) ).
cnf(eq_104,plain,
X = right_division(right_division(right_division(right_division(identity,Y),X),Y),right_division(right_division(right_division(right_division(identity,X),Y),X),Y)),
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)],[inference(rw,[status(thm)],[eq_41,eq_81]),eq_81]),eq_81]),eq_81]),eq_96]),eq_96]),eq_81]),eq_96]),eq_99]),eq_96]),eq_96]) ).
cnf(eq_105,plain,
right_division(X,right_division(identity,Y)) = right_division(right_division(X,right_division(X,Y)),right_division(identity,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_81]),eq_81]),eq_96]),eq_81]) ).
cnf(eq_106,plain,
X = right_division(right_division(right_division(X,Y),X),right_division(right_division(identity,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_59,eq_81]),eq_81]),eq_96]),eq_99]),eq_96]),eq_96]) ).
cnf(eq_107,plain,
X = right_division(right_division(right_division(X,Y),right_division(Z,right_division(identity,X))),right_division(right_division(right_division(identity,Y),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)],[inference(rw,[status(thm)],[eq_40,eq_81]),eq_81]),eq_81]),eq_81]),eq_96]),eq_96]),eq_99]),eq_96]),eq_96]) ).
cnf(eq_108,plain,
right_division(identity,X) = right_division(right_division(right_division(identity,Y),X),right_division(right_division(X,Y),X)),
inference(cp,[status(thm)],[eq_106,eq_96]) ).
cnf(eq_109,plain,
right_division(X,right_division(X,right_division(identity,Y))) = right_division(right_division(X,Y),X),
inference(cp,[status(thm)],[eq_106,eq_93]) ).
cnf(eq_110,plain,
right_division(right_division(identity,right_division(identity,Y)),right_division(X,Y)) = right_division(identity,right_division(X,right_division(Y,right_division(identity,Y)))),
inference(cp,[status(thm)],[eq_100,eq_98]) ).
cnf(eq_111,plain,
right_division(right_division(right_division(X,Y),X),right_division(identity,right_division(X,Y))) = right_division(right_division(X,Y),right_division(identity,right_division(identity,Y))),
inference(cp,[status(thm)],[eq_97,eq_105]) ).
cnf(eq_112,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_110,eq_96]),eq_10]),eq_96]) ).
cnf(eq_113,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)],[inference(rw,[status(thm)],[eq_111,eq_96]),eq_96]),eq_10]) ).
cnf(eq_114,plain,
right_division(right_division(X,right_division(right_division(right_division(identity,x101),x101),X)),x101) = right_division(right_division(X,right_division(identity,X)),right_division(identity,x101)),
inference(cp,[status(thm)],[eq_112,eq_102]) ).
cnf(eq_115,plain,
right_division(X,right_division(right_division(identity,Y),X)) = right_division(right_division(X,right_division(right_division(right_division(identity,Y),Y),X)),Y),
inference(rw,[status(thm)],[eq_114,eq_112]) ).
cnf(eq_116,plain,
right_division(right_division(right_division(identity,Y),x100),right_division(right_division(right_division(right_division(identity,right_division(Y,right_division(identity,right_division(identity,x100)))),x100),right_division(Y,right_division(identity,right_division(identity,x100)))),x100)) = right_division(Y,right_division(identity,right_division(identity,x100))),
inference(cp,[status(thm)],[eq_95,eq_104]) ).
cnf(eq_117,plain,
right_division(X,Y) = right_division(right_division(right_division(identity,X),Y),right_division(right_division(right_division(Y,X),X),Y)),
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_116,eq_96]),eq_96]),eq_10]),eq_10]),eq_96]),eq_113]),eq_96]),eq_10]) ).
cnf(eq_118,plain,
right_division(right_division(right_division(identity,right_division(right_division(X,Y),X)),right_division(right_division(identity,Y),X)),right_division(right_division(right_division(identity,X),right_division(right_division(X,Y),X)),right_division(right_division(identity,Y),X))) = right_division(right_division(right_division(X,Y),X),right_division(right_division(identity,Y),X)),
inference(cp,[status(thm)],[eq_108,eq_117]) ).
cnf(eq_119,plain,
X = right_division(right_division(right_division(right_division(X,right_division(X,Y)),right_division(right_division(identity,Y),X)),Y),Y),
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_96]),eq_98]),eq_96]),eq_103]),eq_101]),eq_106]) ).
cnf(eq_120,plain,
right_division(right_division(right_division(x100,x101),X),right_division(right_division(right_division(identity,x101),x100),right_division(right_division(right_division(X,right_division(X,right_division(identity,x100))),right_division(right_division(identity,right_division(identity,x100)),X)),right_division(identity,x100)))) = x100,
inference(cp,[status(thm)],[eq_119,eq_107]) ).
cnf(eq_121,plain,
X = right_division(right_division(right_division(X,Y),Z),right_division(right_division(right_division(identity,Y),X),right_division(Z,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_120,eq_109]),eq_96]),eq_10]),eq_113]),eq_97]) ).
cnf(eq_122,plain,
right_division(right_division(right_division(x100,right_division(right_division(identity,Y),identity)),x102),right_division(right_division(right_division(right_division(identity,right_division(right_division(right_division(identity,Y),Y),identity)),Y),x100),right_division(x102,x100))) = x100,
inference(cp,[status(thm)],[eq_115,eq_121]) ).
cnf(eq_123,plain,
X = right_division(right_division(right_division(X,right_division(identity,Y)),Z),right_division(right_division(Y,X),right_division(Z,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_122,eq_10]),eq_10]),eq_96]),eq_94]) ).
cnf(eq_124,plain,
right_division(X,right_division(right_division(Z,X),right_division(Y,X))) = right_division(right_division(X,right_division(identity,Y)),Z),
inference(cp,[status(thm)],[eq_123,eq_93]) ).
cnf(eq_125,plain,
right_division(X,right_division(right_division(Y,X),right_division(Z,X))) = right_division(right_division(X,right_division(identity,Z)),Y),
eq_124 ).
cnf(eq_126,plain,
left_division(X,Y) = right_division(left_inverse(X),left_inverse(Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_67]),eq_19]),eq_81]),eq_19]) ).
cnf(eq_127,negated_conjecture,
right_division(right_division(a,right_division(left_inverse(a),b)),left_inverse(c)) != right_division(a,right_division(right_division(left_inverse(c),a),b)),
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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_82]),eq_82]),eq_126]),eq_88]),eq_126]),eq_88]),eq_91]),eq_82]),eq_91]),eq_126]),eq_91]),eq_82]),eq_82]),eq_82]),eq_126]),eq_88]),eq_126]),eq_88]),eq_91]),eq_126]),eq_88]),eq_91]) ).
cnf(eq_128,plain,
right_division(Y,right_division(right_division(x101,Y),X)) = right_division(right_division(Y,right_division(identity,right_division(X,left_inverse(Y)))),x101),
inference(cp,[status(thm)],[eq_92,eq_125]) ).
cnf(eq_129,plain,
right_division(X,right_division(right_division(Y,X),Z)) = right_division(right_division(X,right_division(left_inverse(X),Z)),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_128,eq_19]),eq_91]) ).
cnf(eq_130,negated_conjecture,
right_division(right_division(a,right_division(left_inverse(a),b)),left_inverse(c)) != right_division(right_division(a,right_division(left_inverse(a),b)),left_inverse(c)),
inference(cp,[status(thm)],[eq_129,eq_127]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP201-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n010.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 : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:02:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 59.97/60.18 % SZS status Unsatisfiable
% 59.97/60.18 % SZS output start CNFRefutation for /tmp/MaedMax_5472
% See solution above
% 59.97/60.18
%------------------------------------------------------------------------------