TSTP Solution File: BOO028-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 06:57:49 EDT 2022
% Result : Unsatisfiable 27.93s 28.10s
% Output : CNFRefutation 27.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 10
% Syntax : Number of clauses : 179 ( 179 unt; 0 nHn; 15 RR)
% Number of literals : 179 ( 178 equ; 13 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 336 ( 64 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(X,multiply(Y,multiply(X,Z))),
file('/tmp/MaedMax_2419') ).
cnf(eq_1,axiom,
X = add(add(multiply(Y,X),multiply(X,Z)),X),
file('/tmp/MaedMax_2419') ).
cnf(eq_2,axiom,
X = multiply(add(X,Y),add(X,inverse(Y))),
file('/tmp/MaedMax_2419') ).
cnf(eq_3,axiom,
X = multiply(X,add(Y,add(X,Z))),
file('/tmp/MaedMax_2419') ).
cnf(eq_4,axiom,
X = add(multiply(X,Y),multiply(X,inverse(Y))),
file('/tmp/MaedMax_2419') ).
cnf(eq_5,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_2419') ).
cnf(eq_6,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_2419') ).
cnf(eq_7,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_2419') ).
cnf(eq_8,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/tmp/MaedMax_2419') ).
cnf(eq_9,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
file('/tmp/MaedMax_2419') ).
cnf(eq_10,plain,
multiply(X,add(x101,X)) = X,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_11,plain,
multiply(X,add(x101,add(Y,X))) = X,
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_12,plain,
multiply(X,x102) = multiply(add(X,Y),multiply(add(X,inverse(Y)),x102)),
inference(cp,[status(thm)],[eq_2,eq_8]) ).
cnf(eq_13,plain,
multiply(multiply(X,Y),x102) = multiply(Y,multiply(X,x102)),
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_14,plain,
multiply(add(Y,X),add(X,inverse(Y))) = X,
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_15,plain,
add(X,multiply(x101,X)) = X,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_16,plain,
add(Y,multiply(x101,multiply(X,Y))) = Y,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_17,plain,
add(multiply(X,Y),multiply(Y,inverse(X))) = Y,
inference(cp,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_18,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_5,eq_7]) ).
cnf(eq_19,plain,
add(X,x102) = add(multiply(X,Y),add(multiply(X,inverse(Y)),x102)),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_20,plain,
multiply(X,Y) = multiply(add(X,Z),multiply(add(X,inverse(Z)),Y)),
eq_12 ).
cnf(eq_21,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_18,eq_7]) ).
cnf(eq_22,plain,
X = add(X,multiply(Y,X)),
eq_15 ).
cnf(eq_23,plain,
add(X,Y) = add(multiply(X,Z),add(multiply(X,inverse(Z)),Y)),
eq_19 ).
cnf(eq_24,plain,
X = multiply(X,add(Y,add(Z,X))),
eq_11 ).
cnf(eq_25,plain,
X = add(multiply(Y,X),multiply(X,inverse(Y))),
eq_17 ).
cnf(eq_26,plain,
X = multiply(X,add(Y,X)),
eq_10 ).
cnf(eq_27,plain,
multiply(X,multiply(Y,Z)) = multiply(Y,multiply(X,Z)),
inference(rw,[status(thm)],[eq_13,eq_8]) ).
cnf(eq_28,plain,
X = add(X,multiply(Y,multiply(Z,X))),
eq_16 ).
cnf(eq_29,plain,
multiply(x100,add(x100,x102)) = x100,
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_30,plain,
multiply(X,x102) = multiply(X,multiply(add(Y,X),x102)),
inference(cp,[status(thm)],[eq_26,eq_8]) ).
cnf(eq_31,plain,
add(X,X) = X,
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_32,plain,
multiply(x100,X) = multiply(X,multiply(x100,add(Y,X))),
inference(cp,[status(thm)],[eq_26,eq_27]) ).
cnf(eq_33,plain,
multiply(X,X) = X,
inference(cp,[status(thm)],[eq_1,eq_26]) ).
cnf(eq_34,plain,
multiply(multiply(X,inverse(Y)),X) = multiply(X,inverse(Y)),
inference(cp,[status(thm)],[eq_4,eq_26]) ).
cnf(eq_35,plain,
multiply(x100,add(X,add(Y,add(x102,x100)))) = x100,
inference(cp,[status(thm)],[eq_7,eq_24]) ).
cnf(eq_36,plain,
add(add(X,inverse(Y)),X) = add(X,inverse(Y)),
inference(cp,[status(thm)],[eq_2,eq_22]) ).
cnf(eq_37,plain,
add(add(Y,add(Z,X)),X) = add(Y,add(Z,X)),
inference(cp,[status(thm)],[eq_24,eq_22]) ).
cnf(eq_38,plain,
add(add(Y,X),X) = add(Y,X),
inference(cp,[status(thm)],[eq_26,eq_22]) ).
cnf(eq_39,plain,
add(X,multiply(X,Y)) = X,
inference(cp,[status(thm)],[eq_6,eq_22]) ).
cnf(eq_40,plain,
add(x100,multiply(X,multiply(Y,multiply(x102,x100)))) = x100,
inference(cp,[status(thm)],[eq_8,eq_28]) ).
cnf(eq_41,plain,
add(X,x102) = add(X,add(multiply(Y,X),x102)),
inference(cp,[status(thm)],[eq_22,eq_7]) ).
cnf(eq_42,plain,
add(X,Y) = add(Y,add(X,Y)),
inference(rw,[status(thm)],[eq_38,eq_5]) ).
cnf(eq_43,plain,
multiply(X,Y) = multiply(X,multiply(add(Z,X),Y)),
eq_30 ).
cnf(eq_44,plain,
add(X,Y) = add(X,add(multiply(Z,X),Y)),
eq_41 ).
cnf(eq_45,plain,
X = multiply(X,add(X,Y)),
eq_29 ).
cnf(eq_46,plain,
X = add(X,multiply(Y,multiply(Z,multiply(x3,X)))),
eq_40 ).
cnf(eq_47,plain,
X = multiply(X,add(Y,add(Z,add(x3,X)))),
eq_35 ).
cnf(eq_48,plain,
multiply(X,Y) = multiply(Y,multiply(X,add(Z,Y))),
eq_32 ).
cnf(eq_49,plain,
add(X,add(Y,Z)) = add(add(Y,X),Z),
eq_18 ).
cnf(eq_50,plain,
add(X,add(Y,Z)) = add(Z,add(X,add(Y,Z))),
inference(rw,[status(thm)],[eq_37,eq_5]) ).
cnf(eq_51,plain,
multiply(X,x102) = multiply(X,multiply(X,x102)),
inference(cp,[status(thm)],[eq_33,eq_8]) ).
cnf(eq_52,plain,
add(Y,add(Y,X)) = add(X,Y),
inference(cp,[status(thm)],[eq_5,eq_42]) ).
cnf(eq_53,plain,
add(X,x102) = add(X,add(X,x102)),
inference(cp,[status(thm)],[eq_31,eq_7]) ).
cnf(eq_54,plain,
multiply(x100,X) = multiply(X,multiply(x100,X)),
inference(cp,[status(thm)],[eq_33,eq_27]) ).
cnf(eq_55,plain,
multiply(X,Y) = multiply(Y,multiply(X,Y)),
eq_54 ).
cnf(eq_56,plain,
add(X,Y) = add(X,add(X,Y)),
eq_53 ).
cnf(eq_57,plain,
add(X,inverse(Y)) = add(inverse(Y),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_7]),eq_42]) ).
cnf(eq_58,plain,
multiply(X,Y) = multiply(X,multiply(X,Y)),
eq_51 ).
cnf(eq_59,plain,
add(X,Y) = add(Y,add(Y,X)),
eq_52 ).
cnf(eq_60,plain,
multiply(Y,multiply(X,Y)) = multiply(Y,X),
inference(cp,[status(thm)],[eq_6,eq_58]) ).
cnf(eq_61,plain,
multiply(x100,X) = multiply(X,multiply(x100,add(X,Y))),
inference(cp,[status(thm)],[eq_45,eq_27]) ).
cnf(eq_62,plain,
add(X,add(Y,X)) = add(X,Y),
inference(cp,[status(thm)],[eq_5,eq_56]) ).
cnf(eq_63,plain,
add(X,multiply(add(X,Y),inverse(X))) = add(X,Y),
inference(cp,[status(thm)],[eq_45,eq_25]) ).
cnf(eq_64,plain,
add(X,multiply(add(Y,X),inverse(X))) = add(Y,X),
inference(cp,[status(thm)],[eq_26,eq_25]) ).
cnf(eq_65,plain,
add(multiply(x100,Y),multiply(inverse(x100),Y)) = Y,
inference(cp,[status(thm)],[eq_6,eq_25]) ).
cnf(eq_66,plain,
add(multiply(x100,multiply(X,Y)),multiply(X,multiply(Y,inverse(x100)))) = multiply(X,Y),
inference(cp,[status(thm)],[eq_8,eq_25]) ).
cnf(eq_67,plain,
multiply(X,Y) = add(multiply(Z,multiply(X,Y)),multiply(X,multiply(Y,inverse(Z)))),
eq_66 ).
cnf(eq_68,plain,
multiply(X,Y) = multiply(X,multiply(Y,X)),
eq_60 ).
cnf(eq_69,plain,
add(X,Y) = add(X,multiply(inverse(X),add(X,Y))),
inference(rw,[status(thm)],[eq_63,eq_6]) ).
cnf(eq_70,plain,
X = add(multiply(Y,X),multiply(inverse(Y),X)),
eq_65 ).
cnf(eq_71,plain,
add(X,Y) = add(Y,multiply(inverse(Y),add(X,Y))),
inference(rw,[status(thm)],[eq_64,eq_6]) ).
cnf(eq_72,plain,
multiply(X,Y) = multiply(Y,multiply(X,add(Y,Z))),
eq_61 ).
cnf(eq_73,negated_conjecture,
add(multiply(c,a),add(multiply(c,a),multiply(b,a))) != multiply(a,add(b,c)),
inference(cp,[status(thm)],[eq_59,eq_9]) ).
cnf(eq_74,negated_conjecture,
multiply(a,add(c,b)) != add(multiply(c,a),add(multiply(c,a),multiply(b,a))),
inference(rw,[status(thm)],[eq_73,eq_5]) ).
cnf(eq_75,plain,
multiply(X,add(multiply(Y,X),inverse(X))) = multiply(Y,X),
inference(cp,[status(thm)],[eq_22,eq_14]) ).
cnf(eq_76,plain,
multiply(add(x100,X),add(inverse(x100),X)) = X,
inference(cp,[status(thm)],[eq_5,eq_14]) ).
cnf(eq_77,plain,
X = multiply(add(Y,X),add(inverse(Y),X)),
eq_76 ).
cnf(eq_78,plain,
multiply(X,Y) = multiply(Y,add(inverse(Y),multiply(X,Y))),
inference(rw,[status(thm)],[eq_75,eq_5]) ).
cnf(eq_79,plain,
multiply(multiply(add(x101,Y),x102),Y) = multiply(Y,x102),
inference(cp,[status(thm)],[eq_6,eq_43]) ).
cnf(eq_80,plain,
multiply(inverse(Y),X) = multiply(add(Y,X),inverse(Y)),
inference(cp,[status(thm)],[eq_14,eq_48]) ).
cnf(eq_81,plain,
add(X,Y) = add(add(multiply(Z,X),Y),X),
inference(cp,[status(thm)],[eq_44,eq_5]) ).
cnf(eq_82,plain,
multiply(inverse(X),Y) = multiply(inverse(X),add(X,Y)),
inference(rw,[status(thm)],[eq_80,eq_6]) ).
cnf(eq_83,plain,
multiply(X,Y) = multiply(add(Z,X),multiply(Y,X)),
inference(rw,[status(thm)],[eq_79,eq_8]) ).
cnf(eq_84,plain,
add(X,Y) = add(multiply(Z,X),add(Y,X)),
inference(rw,[status(thm)],[eq_81,eq_7]) ).
cnf(eq_85,plain,
multiply(X,inverse(Y)) = multiply(inverse(Y),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_8]),eq_55]) ).
cnf(eq_86,negated_conjecture,
add(multiply(c,a),add(multiply(c,a),add(multiply(Z,multiply(c,a)),multiply(b,a)))) != multiply(a,add(c,b)),
inference(cp,[status(thm)],[eq_44,eq_74]) ).
cnf(eq_87,negated_conjecture,
multiply(a,add(c,b)) != add(multiply(c,a),add(multiply(b,a),multiply(X,multiply(c,a)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_86,eq_5]),eq_56]) ).
cnf(eq_88,plain,
multiply(add(X,Y),multiply(x102,add(X,Y))) = multiply(add(X,Y),x102),
inference(cp,[status(thm)],[eq_42,eq_83]) ).
cnf(eq_89,plain,
add(multiply(X,Y),add(x102,multiply(X,Y))) = add(multiply(X,Y),x102),
inference(cp,[status(thm)],[eq_55,eq_84]) ).
cnf(eq_90,plain,
multiply(X,add(Y,Z)) = multiply(add(Y,Z),X),
inference(rw,[status(thm)],[eq_88,eq_55]) ).
cnf(eq_91,plain,
add(X,multiply(Y,Z)) = add(multiply(Y,Z),X),
inference(rw,[status(thm)],[eq_89,eq_42]) ).
cnf(eq_92,plain,
multiply(X,add(inverse(X),multiply(X,Y))) = multiply(Y,X),
inference(cp,[status(thm)],[eq_6,eq_78]) ).
cnf(eq_93,plain,
add(Y,multiply(inverse(Y),add(Y,X))) = add(X,Y),
inference(cp,[status(thm)],[eq_5,eq_71]) ).
cnf(eq_94,plain,
multiply(X,Y) = multiply(Y,add(inverse(Y),multiply(Y,X))),
eq_92 ).
cnf(eq_95,plain,
multiply(Y,inverse(Y)) = multiply(multiply(Z,inverse(Y)),Y),
inference(cp,[status(thm)],[eq_28,eq_94]) ).
cnf(eq_96,plain,
add(Y,inverse(Y)) = add(add(Z,inverse(Y)),Y),
inference(cp,[status(thm)],[eq_24,eq_93]) ).
cnf(eq_97,plain,
add(X,add(Y,inverse(Y))) = add(Y,inverse(Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_96,eq_7]),eq_5]) ).
cnf(eq_98,plain,
multiply(X,multiply(Y,inverse(Y))) = multiply(Y,inverse(Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_95,eq_8]),eq_6]) ).
cnf(eq_99,plain,
multiply(multiply(x101,inverse(x101)),Y) = multiply(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_6,eq_98]) ).
cnf(eq_100,plain,
add(Y,inverse(Y)) = add(add(Y,inverse(Y)),X),
inference(cp,[status(thm)],[eq_97,eq_5]) ).
cnf(eq_101,plain,
multiply(X,multiply(inverse(X),Y)) = multiply(X,inverse(X)),
inference(rw,[status(thm)],[eq_99,eq_8]) ).
cnf(eq_102,plain,
add(X,add(inverse(X),Y)) = add(X,inverse(X)),
inference(rw,[status(thm)],[eq_100,eq_7]) ).
cnf(eq_103,plain,
multiply(multiply(inverse(X),Y),multiply(X,inverse(X))) = multiply(multiply(inverse(X),Y),X),
inference(cp,[status(thm)],[eq_101,eq_68]) ).
cnf(eq_104,plain,
multiply(x100,add(X,inverse(X))) = x100,
inference(cp,[status(thm)],[eq_102,eq_47]) ).
cnf(eq_105,plain,
add(Y,multiply(x101,multiply(X,inverse(X)))) = Y,
inference(cp,[status(thm)],[eq_101,eq_46]) ).
cnf(eq_106,plain,
add(inverse(Z),add(Y,Z)) = add(Z,inverse(Z)),
inference(cp,[status(thm)],[eq_50,eq_102]) ).
cnf(eq_107,plain,
add(X,inverse(X)) = add(inverse(X),add(Y,X)),
eq_106 ).
cnf(eq_108,plain,
X = multiply(X,add(Y,inverse(Y))),
eq_104 ).
cnf(eq_109,plain,
X = add(X,multiply(Y,inverse(Y))),
inference(rw,[status(thm)],[eq_105,eq_98]) ).
cnf(eq_110,plain,
multiply(X,inverse(X)) = multiply(inverse(X),multiply(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_103,eq_8]),eq_98]),eq_98]),eq_8]) ).
cnf(eq_111,plain,
inverse(inverse(Y)) = add(Y,inverse(inverse(Y))),
inference(cp,[status(thm)],[eq_77,eq_108]) ).
cnf(eq_112,plain,
add(X,inverse(inverse(X))) = inverse(inverse(X)),
eq_111 ).
cnf(eq_113,plain,
add(X,multiply(inverse(X),inverse(inverse(X)))) = add(inverse(inverse(X)),X),
inference(cp,[status(thm)],[eq_112,eq_93]) ).
cnf(eq_114,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_113,eq_109]),eq_5]),eq_112]) ).
cnf(eq_115,plain,
add(X,Y) = add(X,multiply(inverse(X),Y)),
inference(rw,[status(thm)],[eq_69,eq_82]) ).
cnf(eq_116,plain,
multiply(inverse(X),add(Y,X)) = multiply(inverse(X),Y),
inference(cp,[status(thm)],[eq_5,eq_82]) ).
cnf(eq_117,plain,
multiply(add(x100,multiply(inverse(inverse(x100)),Y)),add(inverse(x100),Y)) = multiply(inverse(inverse(x100)),Y),
inference(cp,[status(thm)],[eq_115,eq_77]) ).
cnf(eq_118,plain,
multiply(inverse(multiply(inverse(X),Y)),add(X,Y)) = multiply(inverse(multiply(inverse(X),Y)),X),
inference(cp,[status(thm)],[eq_115,eq_116]) ).
cnf(eq_119,plain,
multiply(X,add(x101,inverse(X))) = multiply(inverse(inverse(X)),x101),
inference(cp,[status(thm)],[eq_114,eq_116]) ).
cnf(eq_120,plain,
add(inverse(X),multiply(X,x101)) = add(inverse(X),x101),
inference(cp,[status(thm)],[eq_114,eq_115]) ).
cnf(eq_121,plain,
add(inverse(X),Y) = add(inverse(X),multiply(X,Y)),
eq_120 ).
cnf(eq_122,plain,
multiply(X,Y) = multiply(X,add(inverse(X),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_117,eq_114]),eq_39]),eq_114]) ).
cnf(eq_123,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_119,eq_114]) ).
cnf(eq_124,plain,
add(inverse(Y),multiply(X,Y)) = add(inverse(Y),X),
inference(cp,[status(thm)],[eq_6,eq_121]) ).
cnf(eq_125,plain,
add(inverse(X),Y) = add(inverse(X),multiply(Y,X)),
eq_124 ).
cnf(eq_126,plain,
add(inverse(add(inverse(X),Y)),multiply(X,Y)) = add(inverse(add(inverse(X),Y)),X),
inference(cp,[status(thm)],[eq_122,eq_125]) ).
cnf(eq_127,plain,
multiply(add(Y,X),x102) = multiply(x102,add(X,Y)),
inference(cp,[status(thm)],[eq_5,eq_90]) ).
cnf(eq_128,plain,
multiply(X,add(Y,Z)) = multiply(add(Z,Y),X),
eq_127 ).
cnf(eq_129,plain,
X = multiply(add(inverse(Y),X),add(X,Y)),
inference(cp,[status(thm)],[eq_77,eq_128]) ).
cnf(eq_130,plain,
multiply(add(inverse(add(Y,X)),inverse(X)),add(X,inverse(X))) = inverse(X),
inference(cp,[status(thm)],[eq_107,eq_129]) ).
cnf(eq_131,plain,
add(multiply(X,Y),x102) = add(x102,multiply(Y,X)),
inference(cp,[status(thm)],[eq_6,eq_91]) ).
cnf(eq_132,plain,
add(X,multiply(Y,Z)) = add(multiply(Z,Y),X),
eq_131 ).
cnf(eq_133,plain,
add(inverse(X),inverse(add(Y,X))) = inverse(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_130,eq_5]),eq_108]) ).
cnf(eq_134,plain,
add(X,inverse(add(x101,inverse(X)))) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_114,eq_133]) ).
cnf(eq_135,plain,
X = add(X,inverse(add(Y,inverse(X)))),
inference(rw,[status(thm)],[eq_134,eq_114]) ).
cnf(eq_136,plain,
add(x100,inverse(add(inverse(x100),X))) = x100,
inference(cp,[status(thm)],[eq_5,eq_135]) ).
cnf(eq_137,plain,
add(x100,inverse(add(inverse(x100),inverse(Y)))) = x100,
inference(cp,[status(thm)],[eq_57,eq_135]) ).
cnf(eq_138,plain,
X = add(multiply(inverse(Y),X),multiply(X,Y)),
inference(cp,[status(thm)],[eq_70,eq_132]) ).
cnf(eq_139,plain,
X = add(X,inverse(add(inverse(X),inverse(Y)))),
eq_137 ).
cnf(eq_140,plain,
X = add(X,inverse(add(inverse(X),Y))),
eq_136 ).
cnf(eq_141,plain,
add(inverse(inverse(add(inverse(X),inverse(Y)))),inverse(X)) = inverse(inverse(add(inverse(X),inverse(Y)))),
inference(cp,[status(thm)],[eq_139,eq_133]) ).
cnf(eq_142,plain,
add(multiply(inverse(multiply(Y,X)),inverse(X)),multiply(X,inverse(X))) = inverse(X),
inference(cp,[status(thm)],[eq_110,eq_138]) ).
cnf(eq_143,plain,
multiply(inverse(X),inverse(multiply(Y,X))) = inverse(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_142,eq_6]),eq_109]) ).
cnf(eq_144,plain,
add(inverse(X),inverse(Y)) = add(inverse(Y),inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_114]),eq_49]),eq_31]),eq_114]) ).
cnf(eq_145,plain,
multiply(X,inverse(multiply(x101,inverse(X)))) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_114,eq_143]) ).
cnf(eq_146,plain,
X = add(inverse(add(inverse(X),Y)),multiply(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_126,eq_5]),eq_140]) ).
cnf(eq_147,plain,
X = multiply(X,inverse(multiply(Y,inverse(X)))),
inference(rw,[status(thm)],[eq_145,eq_114]) ).
cnf(eq_148,plain,
multiply(x100,inverse(multiply(inverse(x100),Y))) = x100,
inference(cp,[status(thm)],[eq_6,eq_147]) ).
cnf(eq_149,plain,
X = multiply(X,inverse(multiply(inverse(X),Y))),
eq_148 ).
cnf(eq_150,plain,
X = multiply(add(X,Y),inverse(multiply(inverse(X),Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_6]),eq_6]),eq_149]) ).
cnf(eq_151,plain,
X = add(multiply(X,Y),inverse(add(inverse(X),Y))),
inference(cp,[status(thm)],[eq_146,eq_5]) ).
cnf(eq_152,negated_conjecture,
add(multiply(c,a),add(multiply(b,a),multiply(c,multiply(X,a)))) != multiply(a,add(c,b)),
inference(cp,[status(thm)],[eq_27,eq_87]) ).
cnf(eq_153,negated_conjecture,
add(multiply(c,a),add(multiply(b,a),multiply(c,multiply(a,inverse(Y))))) != multiply(a,add(c,b)),
inference(cp,[status(thm)],[eq_85,eq_152]) ).
cnf(eq_154,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),add(multiply(a,c),multiply(a,multiply(c,inverse(X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_153,eq_6]),eq_27]),eq_21]),eq_5]) ).
cnf(eq_155,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),add(multiply(c,a),multiply(c,multiply(a,inverse(X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_154,eq_6]),eq_27]) ).
cnf(eq_156,plain,
add(multiply(X,Y),inverse(add(inverse(Y),X))) = Y,
inference(cp,[status(thm)],[eq_6,eq_151]) ).
cnf(eq_157,plain,
X = add(multiply(Y,X),inverse(add(inverse(X),Y))),
eq_156 ).
cnf(eq_158,plain,
multiply(add(Y,X),inverse(multiply(inverse(X),Y))) = X,
inference(cp,[status(thm)],[eq_5,eq_150]) ).
cnf(eq_159,plain,
add(multiply(Y,x101),inverse(x101)) = add(Y,inverse(add(inverse(inverse(x101)),Y))),
inference(cp,[status(thm)],[eq_157,eq_23]) ).
cnf(eq_160,plain,
add(X,inverse(add(Y,X))) = add(inverse(Y),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_159,eq_5]),eq_125]),eq_114]) ).
cnf(eq_161,plain,
multiply(add(Y,x101),inverse(x101)) = multiply(Y,inverse(multiply(inverse(inverse(x101)),Y))),
inference(cp,[status(thm)],[eq_158,eq_20]) ).
cnf(eq_162,plain,
add(X,inverse(add(inverse(inverse(multiply(inverse(X),Y))),add(Y,X)))) = inverse(multiply(inverse(X),Y)),
inference(cp,[status(thm)],[eq_158,eq_157]) ).
cnf(eq_163,plain,
multiply(X,inverse(multiply(Y,X))) = multiply(inverse(Y),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_161,eq_6]),eq_116]),eq_114]) ).
cnf(eq_164,plain,
multiply(add(x100,inverse(add(Y,inverse(x100)))),add(inverse(Y),inverse(x100))) = inverse(add(Y,inverse(x100))),
inference(cp,[status(thm)],[eq_160,eq_77]) ).
cnf(eq_165,plain,
add(X,inverse(add(X,inverse(Y)))) = add(inverse(inverse(Y)),X),
inference(cp,[status(thm)],[eq_57,eq_160]) ).
cnf(eq_166,plain,
multiply(X,inverse(Y)) = inverse(add(Y,inverse(X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_164,eq_135]),eq_123]) ).
cnf(eq_167,plain,
add(X,Y) = add(Y,inverse(add(Y,inverse(X)))),
inference(rw,[status(thm)],[eq_165,eq_114]) ).
cnf(eq_168,plain,
add(inverse(X),Y) = inverse(multiply(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_162,eq_114]),eq_21]),eq_5]),eq_115]),eq_62]),eq_160]) ).
cnf(eq_169,plain,
add(X,inverse(Y)) = inverse(multiply(inverse(X),Y)),
inference(cp,[status(thm)],[eq_57,eq_168]) ).
cnf(eq_170,plain,
add(inverse(X),inverse(Y)) = inverse(multiply(inverse(inverse(X)),Y)),
inference(cp,[status(thm)],[eq_144,eq_168]) ).
cnf(eq_171,plain,
add(inverse(X),inverse(Y)) = inverse(multiply(X,Y)),
inference(rw,[status(thm)],[eq_170,eq_114]) ).
cnf(eq_172,negated_conjecture,
add(add(multiply(c,a),multiply(c,multiply(a,inverse(x100)))),inverse(add(add(multiply(c,a),multiply(c,multiply(a,inverse(x100)))),inverse(multiply(b,a))))) != multiply(a,add(b,c)),
inference(cp,[status(thm)],[eq_167,eq_155]) ).
cnf(eq_173,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(a,c),inverse(add(multiply(a,c),inverse(multiply(b,a))))),
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_172,eq_6]),eq_166]),eq_6]),eq_166]),eq_166]),eq_166]),eq_7]),eq_7]),eq_171]),eq_171]),eq_135]),eq_135]) ).
cnf(eq_174,plain,
add(multiply(multiply(inverse(X),Y),multiply(x101,add(Y,X))),multiply(x101,X)) = multiply(x101,add(Y,X)),
inference(cp,[status(thm)],[eq_158,eq_67]) ).
cnf(eq_175,plain,
multiply(X,add(Y,Z)) = add(multiply(X,Z),multiply(inverse(Z),multiply(X,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_174,eq_8]),eq_72]),eq_5]) ).
cnf(eq_176,negated_conjecture,
add(multiply(a,c),multiply(inverse(c),multiply(a,b))) != add(multiply(a,c),inverse(add(multiply(a,c),inverse(multiply(b,a))))),
inference(cp,[status(thm)],[eq_175,eq_173]) ).
cnf(eq_177,negated_conjecture,
add(multiply(c,a),multiply(b,multiply(a,inverse(c)))) != add(multiply(c,a),multiply(b,multiply(a,inverse(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_176,eq_6]),eq_6]),eq_27]),eq_6]),eq_6]),eq_6]),eq_169]),eq_27]),eq_6]),eq_163]),eq_6]),eq_114]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 03:46:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 27.93/28.10 % SZS status Unsatisfiable
% 27.93/28.10 % SZS output start CNFRefutation for /tmp/MaedMax_2419
% See solution above
% 27.93/28.10
%------------------------------------------------------------------------------