TSTP Solution File: BOO026-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO026-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n026.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 06:57:48 EDT 2022
% Result : Unsatisfiable 34.93s 35.20s
% Output : CNFRefutation 34.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 9
% Syntax : Number of clauses : 220 ( 220 unt; 0 nHn; 78 RR)
% Number of literals : 220 ( 219 equ; 2 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; 9 con; 0-2 aty)
% Number of variables : 189 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(Y,add(X,Z)),
file('/tmp/MaedMax_4968') ).
cnf(eq_1,axiom,
add(X,inverse(X)) = n1,
file('/tmp/MaedMax_4968') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(Y,X),add(Z,X)),
file('/tmp/MaedMax_4968') ).
cnf(eq_3,axiom,
multiply(X,inverse(X)) = n0,
file('/tmp/MaedMax_4968') ).
cnf(eq_4,axiom,
X = add(multiply(Y,inverse(Y)),add(multiply(Y,X),multiply(inverse(Y),X))),
file('/tmp/MaedMax_4968') ).
cnf(eq_5,axiom,
X = add(multiply(X,inverse(Y)),add(multiply(X,Y),multiply(inverse(Y),Y))),
file('/tmp/MaedMax_4968') ).
cnf(eq_6,axiom,
X = multiply(add(Y,inverse(Y)),multiply(add(Y,X),add(inverse(Y),X))),
file('/tmp/MaedMax_4968') ).
cnf(eq_7,axiom,
X = multiply(add(X,inverse(Y)),multiply(add(X,Y),add(inverse(Y),Y))),
file('/tmp/MaedMax_4968') ).
cnf(eq_8,negated_conjecture,
multiply(add(a,b),b) != b,
file('/tmp/MaedMax_4968') ).
cnf(eq_9,plain,
X = multiply(n1,add(X,n0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_2]),eq_3]) ).
cnf(eq_10,plain,
X = multiply(add(X,inverse(Y)),add(Y,multiply(X,inverse(Y)))),
inference(rw,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_11,plain,
X = add(multiply(X,inverse(Y)),multiply(Y,add(X,inverse(Y)))),
inference(rw,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_12,plain,
X = add(n0,multiply(X,n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_3]),eq_0]),eq_1]) ).
cnf(eq_13,plain,
add(n0,multiply(x102,inverse(X))) = multiply(inverse(X),add(X,x102)),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_14,plain,
add(add(X,multiply(Y,Z)),multiply(x102,add(Z,X))) = multiply(add(Z,X),add(add(Y,X),x102)),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_15,plain,
add(multiply(x100,inverse(X)),n0) = multiply(inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_16,plain,
multiply(multiply(Y,add(X,Z)),add(x102,multiply(Z,Y))) = add(multiply(Z,Y),multiply(multiply(X,Y),x102)),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_17,plain,
multiply(n1,add(x102,inverse(X))) = add(inverse(X),multiply(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_18,plain,
multiply(add(x100,inverse(X)),n1) = add(inverse(X),multiply(x100,X)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_19,plain,
add(n0,multiply(X,inverse(Y))) = multiply(inverse(Y),add(Y,X)),
eq_13 ).
cnf(eq_20,plain,
add(inverse(X),multiply(Y,X)) = multiply(add(Y,inverse(X)),n1),
eq_18 ).
cnf(eq_21,plain,
add(add(X,multiply(Y,Z)),multiply(x3,add(Z,X))) = multiply(add(Z,X),add(add(Y,X),x3)),
eq_14 ).
cnf(eq_22,plain,
add(inverse(X),multiply(X,Y)) = multiply(n1,add(Y,inverse(X))),
eq_17 ).
cnf(eq_23,plain,
add(multiply(X,Y),multiply(multiply(Z,Y),x3)) = multiply(multiply(Y,add(Z,X)),add(x3,multiply(X,Y))),
eq_16 ).
cnf(eq_24,plain,
add(multiply(X,inverse(Y)),n0) = multiply(inverse(Y),add(X,Y)),
eq_15 ).
cnf(eq_25,plain,
X = multiply(n1,add(X,multiply(Y,inverse(Y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_2]) ).
cnf(eq_26,plain,
X = add(multiply(Y,inverse(Y)),multiply(X,n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_0]),eq_1]) ).
cnf(eq_27,plain,
add(X,multiply(x102,add(X,n0))) = multiply(add(X,n0),add(n1,x102)),
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_28,plain,
add(multiply(x100,add(X,n0)),X) = multiply(add(X,n0),add(x100,n1)),
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_29,plain,
multiply(X,add(x102,multiply(X,n1))) = add(multiply(X,n1),multiply(n0,x102)),
inference(cp,[status(thm)],[eq_12,eq_2]) ).
cnf(eq_30,plain,
multiply(add(x100,multiply(X,n1)),X) = add(multiply(X,n1),multiply(x100,n0)),
inference(cp,[status(thm)],[eq_12,eq_2]) ).
cnf(eq_31,plain,
add(n0,n0) = multiply(inverse(X),add(X,X)),
inference(cp,[status(thm)],[eq_3,eq_24]) ).
cnf(eq_32,plain,
add(inverse(add(X,n0)),X) = multiply(add(n1,inverse(add(X,n0))),n1),
inference(cp,[status(thm)],[eq_9,eq_20]) ).
cnf(eq_33,plain,
multiply(n1,n1) = add(inverse(X),multiply(X,X)),
inference(cp,[status(thm)],[eq_1,eq_20]) ).
cnf(eq_34,plain,
multiply(inverse(inverse(X)),n1) = add(multiply(X,inverse(inverse(X))),n0),
inference(cp,[status(thm)],[eq_1,eq_24]) ).
cnf(eq_35,plain,
multiply(inverse(multiply(X,n1)),X) = add(multiply(n0,inverse(multiply(X,n1))),n0),
inference(cp,[status(thm)],[eq_12,eq_24]) ).
cnf(eq_36,plain,
multiply(inverse(n0),X) = add(n0,multiply(multiply(X,n1),inverse(n0))),
inference(cp,[status(thm)],[eq_12,eq_19]) ).
cnf(eq_37,plain,
multiply(n1,multiply(inverse(Y),add(X,Y))) = multiply(X,inverse(Y)),
inference(cp,[status(thm)],[eq_24,eq_9]) ).
cnf(eq_38,plain,
add(multiply(X,inverse(inverse(X))),n0) = multiply(inverse(inverse(X)),n1),
eq_34 ).
cnf(eq_39,plain,
add(multiply(X,add(Y,n0)),Y) = multiply(add(Y,n0),add(X,n1)),
eq_28 ).
cnf(eq_40,plain,
add(n0,multiply(multiply(X,n1),inverse(n0))) = multiply(inverse(n0),X),
eq_36 ).
cnf(eq_41,plain,
add(X,multiply(Y,add(X,n0))) = multiply(add(X,n0),add(n1,Y)),
eq_27 ).
cnf(eq_42,plain,
add(inverse(X),multiply(X,X)) = multiply(n1,n1),
eq_33 ).
cnf(eq_43,plain,
add(multiply(X,n1),multiply(n0,Y)) = multiply(X,add(Y,multiply(X,n1))),
eq_29 ).
cnf(eq_44,plain,
add(multiply(X,n1),multiply(Y,n0)) = multiply(add(Y,multiply(X,n1)),X),
eq_30 ).
cnf(eq_45,plain,
add(inverse(add(Z,X)),add(X,multiply(Z,Z))) = multiply(n1,n1),
inference(cp,[status(thm)],[eq_2,eq_42]) ).
cnf(eq_46,plain,
multiply(multiply(n1,n1),add(x102,multiply(X,X))) = add(multiply(X,X),multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_42,eq_2]) ).
cnf(eq_47,plain,
add(inverse(add(X,Y)),add(Y,multiply(X,X))) = multiply(n1,n1),
eq_45 ).
cnf(eq_48,plain,
add(multiply(X,X),multiply(inverse(X),Y)) = multiply(multiply(n1,n1),add(Y,multiply(X,X))),
eq_46 ).
cnf(eq_49,plain,
add(n0,add(n0,multiply(multiply(n1,n1),inverse(n0)))) = inverse(n0),
inference(cp,[status(thm)],[eq_36,eq_12]) ).
cnf(eq_50,plain,
multiply(inverse(multiply(Z,Y)),multiply(Y,add(Z,Z))) = add(n0,n0),
inference(cp,[status(thm)],[eq_0,eq_31]) ).
cnf(eq_51,plain,
multiply(add(multiply(X,n1),inverse(n0)),multiply(inverse(n0),X)) = multiply(X,n1),
inference(cp,[status(thm)],[eq_40,eq_10]) ).
cnf(eq_52,plain,
add(n0,n0) = multiply(inverse(multiply(X,Y)),multiply(Y,add(X,X))),
eq_50 ).
cnf(eq_53,plain,
multiply(n1,multiply(inverse(inverse(X)),n1)) = multiply(X,inverse(inverse(X))),
inference(cp,[status(thm)],[eq_38,eq_9]) ).
cnf(eq_54,plain,
multiply(X,inverse(inverse(X))) = multiply(n1,multiply(inverse(inverse(X)),n1)),
eq_53 ).
cnf(eq_55,plain,
add(multiply(n1,multiply(inverse(inverse(X)),n1)),multiply(inverse(X),add(X,inverse(inverse(X))))) = X,
inference(cp,[status(thm)],[eq_54,eq_11]) ).
cnf(eq_56,plain,
X = add(multiply(n1,multiply(inverse(inverse(X)),n1)),add(n0,multiply(inverse(inverse(X)),inverse(X)))),
inference(rw,[status(thm)],[eq_55,eq_19]) ).
cnf(eq_57,plain,
add(inverse(X),add(multiply(X,n1),multiply(n0,n0))) = multiply(n1,n1),
inference(cp,[status(thm)],[eq_12,eq_47]) ).
cnf(eq_58,plain,
add(inverse(add(n1,n0)),n1) = multiply(n1,n1),
inference(cp,[status(thm)],[eq_12,eq_47]) ).
cnf(eq_59,plain,
multiply(X,add(n1,multiply(X,n1))) = multiply(n1,add(X,n0)),
inference(cp,[status(thm)],[eq_43,eq_0]) ).
cnf(eq_60,plain,
multiply(add(n1,inverse(add(n1,n0))),n1) = multiply(n1,n1),
inference(cp,[status(thm)],[eq_32,eq_58]) ).
cnf(eq_61,plain,
multiply(X,X) = add(multiply(X,n1),multiply(n0,n0)),
inference(cp,[status(thm)],[eq_12,eq_43]) ).
cnf(eq_62,plain,
multiply(multiply(n1,add(X,Z)),Z) = add(multiply(Z,n1),multiply(multiply(X,n1),n0)),
inference(cp,[status(thm)],[eq_0,eq_44]) ).
cnf(eq_63,plain,
multiply(multiply(add(Y,inverse(n1)),n1),Y) = add(multiply(Y,n1),multiply(inverse(n1),n0)),
inference(cp,[status(thm)],[eq_20,eq_44]) ).
cnf(eq_64,plain,
multiply(inverse(X),multiply(add(X,n0),add(n1,n1))) = add(n0,n0),
inference(cp,[status(thm)],[eq_9,eq_52]) ).
cnf(eq_65,plain,
multiply(inverse(multiply(n0,n1)),n0) = add(n0,n0),
inference(cp,[status(thm)],[eq_9,eq_52]) ).
cnf(eq_66,plain,
add(n0,n0) = multiply(inverse(multiply(n0,n1)),n0),
eq_65 ).
cnf(eq_67,plain,
add(multiply(X,n1),multiply(inverse(n1),n0)) = multiply(multiply(add(X,inverse(n1)),n1),X),
eq_63 ).
cnf(eq_68,plain,
add(multiply(X,n1),multiply(n0,n0)) = multiply(X,X),
eq_61 ).
cnf(eq_69,plain,
add(n0,n0) = multiply(inverse(X),multiply(add(X,n0),add(n1,n1))),
eq_64 ).
cnf(eq_70,plain,
add(multiply(X,n1),multiply(multiply(Y,n1),n0)) = multiply(multiply(n1,add(Y,X)),X),
eq_62 ).
cnf(eq_71,plain,
X = multiply(X,add(n1,multiply(X,n1))),
inference(rw,[status(thm)],[eq_59,eq_9]) ).
cnf(eq_72,plain,
add(n0,multiply(n1,n1)) = add(n1,inverse(add(n1,n0))),
inference(cp,[status(thm)],[eq_60,eq_12]) ).
cnf(eq_73,plain,
multiply(n1,multiply(inverse(multiply(n0,n1)),n0)) = n0,
inference(cp,[status(thm)],[eq_66,eq_9]) ).
cnf(eq_74,plain,
add(X,multiply(Z,Z)) = add(multiply(add(Z,X),n1),multiply(n0,n0)),
inference(cp,[status(thm)],[eq_2,eq_61]) ).
cnf(eq_75,plain,
add(X,multiply(Y,Y)) = add(multiply(add(Y,X),n1),multiply(n0,n0)),
eq_74 ).
cnf(eq_76,plain,
add(n1,inverse(add(n1,n0))) = n1,
inference(rw,[status(thm)],[eq_72,eq_12]) ).
cnf(eq_77,plain,
add(multiply(n1,inverse(add(n1,n0))),multiply(add(n1,n0),n1)) = n1,
inference(cp,[status(thm)],[eq_76,eq_11]) ).
cnf(eq_78,plain,
multiply(n1,add(multiply(n0,inverse(multiply(n0,n1))),n0)) = n0,
inference(cp,[status(thm)],[eq_35,eq_73]) ).
cnf(eq_79,plain,
multiply(n0,inverse(multiply(n0,n1))) = n0,
inference(rw,[status(thm)],[eq_78,eq_9]) ).
cnf(eq_80,plain,
multiply(n1,add(n1,n0)) = add(multiply(add(n1,n0),n1),multiply(multiply(n1,inverse(add(n1,n0))),n0)),
inference(cp,[status(thm)],[eq_77,eq_44]) ).
cnf(eq_81,plain,
add(multiply(add(n1,n0),n1),multiply(multiply(n1,inverse(add(n1,n0))),n0)) = n1,
inference(rw,[status(thm)],[eq_80,eq_9]) ).
cnf(eq_82,plain,
add(X,multiply(n0,add(X,n0))) = add(n0,multiply(X,n1)),
inference(cp,[status(thm)],[eq_41,eq_2]) ).
cnf(eq_83,plain,
add(X,X) = multiply(add(X,n0),add(n1,n1)),
inference(cp,[status(thm)],[eq_9,eq_41]) ).
cnf(eq_84,plain,
add(X,add(multiply(X,inverse(n0)),n0)) = multiply(add(X,n0),add(n1,inverse(n0))),
inference(cp,[status(thm)],[eq_24,eq_41]) ).
cnf(eq_85,plain,
add(n1,multiply(n0,add(n1,n0))) = add(multiply(add(n1,n0),n1),multiply(n0,n0)),
inference(cp,[status(thm)],[eq_41,eq_61]) ).
cnf(eq_86,plain,
multiply(add(multiply(add(X,n0),n1),inverse(n0)),add(multiply(X,inverse(n0)),n0)) = multiply(add(X,n0),n1),
inference(cp,[status(thm)],[eq_24,eq_51]) ).
cnf(eq_87,plain,
X = add(X,multiply(n0,add(X,n0))),
inference(rw,[status(thm)],[eq_82,eq_12]) ).
cnf(eq_88,plain,
multiply(add(X,n0),n1) = multiply(add(multiply(add(X,n0),n1),inverse(n0)),add(multiply(X,inverse(n0)),n0)),
eq_86 ).
cnf(eq_89,plain,
multiply(add(x100,X),multiply(add(X,n0),add(n1,n1))) = add(X,multiply(x100,X)),
inference(cp,[status(thm)],[eq_83,eq_2]) ).
cnf(eq_90,plain,
multiply(n1,multiply(inverse(X),multiply(add(X,n0),add(n1,n1)))) = multiply(X,inverse(X)),
inference(cp,[status(thm)],[eq_83,eq_37]) ).
cnf(eq_91,plain,
multiply(Y,add(Z,Z)) = multiply(add(multiply(Z,Y),n0),add(n1,n1)),
inference(cp,[status(thm)],[eq_0,eq_83]) ).
cnf(eq_92,plain,
multiply(add(multiply(n0,n1),n0),add(n1,n1)) = multiply(n0,add(n1,multiply(n0,n1))),
inference(cp,[status(thm)],[eq_83,eq_43]) ).
cnf(eq_93,plain,
add(multiply(x100,n1),n0) = multiply(x100,add(inverse(multiply(n0,n1)),multiply(x100,n1))),
inference(cp,[status(thm)],[eq_79,eq_43]) ).
cnf(eq_94,plain,
X = add(multiply(X,n1),multiply(n0,n1)),
inference(cp,[status(thm)],[eq_71,eq_43]) ).
cnf(eq_95,plain,
multiply(add(multiply(n0,n1),n0),add(n1,n1)) = n0,
inference(rw,[status(thm)],[eq_92,eq_71]) ).
cnf(eq_96,plain,
add(X,multiply(Y,X)) = multiply(add(Y,X),multiply(add(X,n0),add(n1,n1))),
eq_89 ).
cnf(eq_97,plain,
multiply(X,add(Y,Y)) = multiply(add(multiply(Y,X),n0),add(n1,n1)),
eq_91 ).
cnf(eq_98,plain,
add(multiply(X,n1),n0) = multiply(X,add(inverse(multiply(n0,n1)),multiply(X,n1))),
eq_93 ).
cnf(eq_99,plain,
add(n0,add(n0,multiply(add(inverse(add(n1,n0)),n1),inverse(n0)))) = inverse(n0),
inference(rw,[status(thm)],[eq_49,eq_58]) ).
cnf(eq_100,plain,
add(n0,multiply(n0,multiply(add(n0,n0),add(n1,n1)))) = n0,
inference(cp,[status(thm)],[eq_83,eq_87]) ).
cnf(eq_101,plain,
add(multiply(add(n1,n0),n1),multiply(n0,n0)) = n1,
inference(rw,[status(thm)],[eq_85,eq_87]) ).
cnf(eq_102,plain,
multiply(n1,multiply(inverse(X),multiply(add(X,n0),add(n1,n1)))) = n0,
inference(rw,[status(thm)],[eq_90,eq_3]) ).
cnf(eq_103,plain,
multiply(n1,add(multiply(add(n1,n1),n1),multiply(n0,n0))) = n1,
inference(cp,[status(thm)],[eq_75,eq_71]) ).
cnf(eq_104,plain,
add(x100,add(n1,multiply(n0,add(n1,n0)))) = add(multiply(add(add(n1,n0),x100),n1),multiply(n0,n0)),
inference(cp,[status(thm)],[eq_41,eq_75]) ).
cnf(eq_105,plain,
add(multiply(add(Y,multiply(x100,Y)),n1),multiply(n0,n0)) = multiply(Y,add(x100,Y)),
inference(cp,[status(thm)],[eq_75,eq_0]) ).
cnf(eq_106,plain,
add(multiply(add(X,multiply(Y,X)),n1),multiply(n0,n0)) = multiply(X,add(Y,X)),
eq_105 ).
cnf(eq_107,plain,
add(X,n1) = add(multiply(add(add(n1,n0),X),n1),multiply(n0,n0)),
inference(rw,[status(thm)],[eq_104,eq_87]) ).
cnf(eq_108,plain,
add(X,multiply(Y,X)) = multiply(add(multiply(X,add(Y,X)),n0),add(n1,n1)),
inference(cp,[status(thm)],[eq_2,eq_97]) ).
cnf(eq_109,plain,
multiply(x100,multiply(n0,add(n1,multiply(n0,n1)))) = multiply(add(multiply(multiply(n0,n1),x100),n0),add(n1,n1)),
inference(cp,[status(thm)],[eq_43,eq_97]) ).
cnf(eq_110,plain,
multiply(X,n0) = multiply(add(multiply(multiply(n0,n1),X),n0),add(n1,n1)),
inference(rw,[status(thm)],[eq_109,eq_71]) ).
cnf(eq_111,plain,
add(multiply(add(Y,multiply(Y,Y)),n1),multiply(n0,n0)) = multiply(add(multiply(Y,Y),n0),add(n1,n1)),
inference(cp,[status(thm)],[eq_75,eq_83]) ).
cnf(eq_112,plain,
multiply(multiply(add(n0,n0),add(multiply(n0,n1),n1)),add(n1,n1)) = multiply(add(n0,n0),n0),
inference(cp,[status(thm)],[eq_39,eq_110]) ).
cnf(eq_113,plain,
multiply(add(multiply(n0,n1),n0),add(n1,n1)) = multiply(add(n1,multiply(multiply(n0,n1),n1)),n0),
inference(cp,[status(thm)],[eq_71,eq_110]) ).
cnf(eq_114,plain,
multiply(add(n1,multiply(multiply(n0,n1),n1)),n0) = n0,
inference(rw,[status(thm)],[eq_113,eq_95]) ).
cnf(eq_115,plain,
multiply(add(n0,n0),n0) = multiply(multiply(add(n0,n0),add(multiply(n0,n1),n1)),add(n1,n1)),
eq_112 ).
cnf(eq_116,plain,
add(n0,multiply(x102,n0)) = multiply(n0,add(add(n1,multiply(multiply(n0,n1),n1)),x102)),
inference(cp,[status(thm)],[eq_114,eq_0]) ).
cnf(eq_117,plain,
add(n0,multiply(X,n0)) = multiply(n0,add(add(n1,multiply(multiply(n0,n1),n1)),X)),
eq_116 ).
cnf(eq_118,plain,
multiply(Y,add(Y,inverse(Y))) = multiply(multiply(n1,n1),add(Y,multiply(Y,Y))),
inference(cp,[status(thm)],[eq_0,eq_48]) ).
cnf(eq_119,plain,
multiply(X,n1) = multiply(multiply(n1,n1),add(X,multiply(X,X))),
inference(rw,[status(thm)],[eq_118,eq_1]) ).
cnf(eq_120,plain,
multiply(X,n1) = multiply(add(inverse(add(n1,n0)),n1),add(X,multiply(X,X))),
inference(rw,[status(thm)],[eq_119,eq_58]) ).
cnf(eq_121,plain,
add(n0,multiply(add(inverse(add(n1,n0)),n1),add(X,multiply(X,X)))) = X,
inference(cp,[status(thm)],[eq_120,eq_12]) ).
cnf(eq_122,plain,
X = add(n0,multiply(add(inverse(add(n1,n0)),n1),add(X,multiply(X,X)))),
eq_121 ).
cnf(eq_123,plain,
add(n1,multiply(x103,add(n0,multiply(add(n1,n0),n1)))) = multiply(add(n0,multiply(add(n1,n0),n1)),add(add(multiply(n1,inverse(add(n1,n0))),multiply(add(n1,n0),n1)),x103)),
inference(cp,[status(thm)],[eq_81,eq_21]) ).
cnf(eq_124,plain,
add(n1,multiply(X,add(n1,n0))) = multiply(add(n1,n0),add(n1,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_123,eq_12]),eq_12]),eq_77]) ).
cnf(eq_125,plain,
multiply(add(add(n1,multiply(add(n1,n0),add(n1,n0))),n0),add(n1,n1)) = add(add(n1,n0),multiply(n1,add(n1,n0))),
inference(cp,[status(thm)],[eq_124,eq_108]) ).
cnf(eq_126,plain,
add(add(n1,n0),n1) = multiply(add(add(n1,n1),n0),add(n1,n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_124]),eq_87]),eq_9]) ).
cnf(eq_127,plain,
add(add(n1,n1),add(n1,n1)) = add(add(n1,n0),n1),
inference(cp,[status(thm)],[eq_83,eq_126]) ).
cnf(eq_128,plain,
multiply(X,add(X,X)) = multiply(add(multiply(X,X),n0),add(n1,n1)),
inference(rw,[status(thm)],[eq_111,eq_106]) ).
cnf(eq_129,plain,
multiply(add(add(n1,n0),n1),multiply(add(add(n1,n1),n0),add(n1,n1))) = add(add(n1,n1),multiply(add(n1,n1),add(n1,n1))),
inference(cp,[status(thm)],[eq_127,eq_96]) ).
cnf(eq_130,plain,
multiply(add(multiply(add(n1,n1),add(add(n1,n0),n1)),n0),add(n1,n1)) = add(add(n1,n1),multiply(add(n1,n1),add(n1,n1))),
inference(cp,[status(thm)],[eq_127,eq_108]) ).
cnf(eq_131,plain,
multiply(add(n1,n1),add(add(n1,n0),n1)) = multiply(add(multiply(add(n1,n1),add(n1,n1)),n0),add(n1,n1)),
inference(cp,[status(thm)],[eq_127,eq_128]) ).
cnf(eq_132,plain,
multiply(multiply(n1,n1),add(add(n1,n0),add(n1,multiply(n0,add(n1,n0))))) = multiply(add(n1,n0),n1),
inference(cp,[status(thm)],[eq_41,eq_119]) ).
cnf(eq_133,plain,
multiply(multiply(n1,n1),add(add(Z,X),add(X,multiply(Z,Z)))) = multiply(add(Z,X),n1),
inference(cp,[status(thm)],[eq_2,eq_119]) ).
cnf(eq_134,plain,
add(n1,n1) = multiply(add(add(n1,multiply(n1,n1)),n0),add(n1,n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_131,eq_2]),eq_9]),eq_2]) ).
cnf(eq_135,plain,
add(add(n1,n1),add(n1,multiply(n1,n1))) = add(add(n1,n0),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_130,eq_2]),eq_9]),eq_126]),eq_2]) ).
cnf(eq_136,plain,
multiply(add(n1,n0),n1) = multiply(multiply(n1,n1),add(add(n1,n0),n1)),
inference(rw,[status(thm)],[eq_132,eq_87]) ).
cnf(eq_137,plain,
multiply(add(X,Y),n1) = multiply(multiply(n1,n1),add(add(X,Y),add(Y,multiply(X,X)))),
eq_133 ).
cnf(eq_138,plain,
add(add(n1,n1),add(n1,multiply(n1,n1))) = add(n1,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_129,eq_126]),eq_2]),eq_124]),eq_87]),eq_2]) ).
cnf(eq_139,plain,
add(add(n1,n0),n1) = add(n1,n1),
inference(rw,[status(thm)],[eq_138,eq_135]) ).
cnf(eq_140,plain,
multiply(multiply(n1,n1),add(add(n1,n0),n1)) = multiply(add(n1,n1),n1),
inference(cp,[status(thm)],[eq_135,eq_137]) ).
cnf(eq_141,plain,
multiply(n1,multiply(inverse(add(n1,multiply(n1,n1))),add(n1,n1))) = n0,
inference(cp,[status(thm)],[eq_134,eq_102]) ).
cnf(eq_142,plain,
multiply(add(n1,n1),n1) = multiply(add(n1,n0),n1),
inference(rw,[status(thm)],[eq_140,eq_136]) ).
cnf(eq_143,plain,
multiply(n1,add(multiply(add(n1,n0),n1),multiply(n0,n0))) = n1,
inference(cp,[status(thm)],[eq_142,eq_103]) ).
cnf(eq_144,plain,
multiply(n1,add(multiply(add(add(n1,n0),n1),n1),multiply(n0,n0))) = n1,
inference(cp,[status(thm)],[eq_139,eq_103]) ).
cnf(eq_145,plain,
add(multiply(add(n1,n0),n1),multiply(n0,n0)) = multiply(add(n1,n1),add(n1,n1)),
inference(cp,[status(thm)],[eq_142,eq_68]) ).
cnf(eq_146,plain,
add(n1,multiply(n1,n1)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_145,eq_101]),eq_2]) ).
cnf(eq_147,plain,
multiply(n1,add(n1,n1)) = n1,
inference(rw,[status(thm)],[eq_144,eq_107]) ).
cnf(eq_148,plain,
multiply(n1,n1) = n1,
inference(rw,[status(thm)],[eq_143,eq_101]) ).
cnf(eq_149,plain,
add(n1,n1) = n1,
inference(rw,[status(thm)],[eq_146,eq_148]) ).
cnf(eq_150,plain,
multiply(X,n1) = multiply(n1,add(X,multiply(X,X))),
inference(rw,[status(thm)],[eq_119,eq_148]) ).
cnf(eq_151,plain,
add(n1,multiply(x102,n1)) = multiply(n1,add(n1,x102)),
inference(cp,[status(thm)],[eq_148,eq_0]) ).
cnf(eq_152,plain,
add(multiply(x100,n1),n1) = multiply(n1,add(x100,n1)),
inference(cp,[status(thm)],[eq_148,eq_0]) ).
cnf(eq_153,plain,
add(inverse(n1),n1) = multiply(add(n1,inverse(n1)),n1),
inference(cp,[status(thm)],[eq_148,eq_20]) ).
cnf(eq_154,plain,
multiply(n1,add(x103,multiply(n1,n1))) = add(multiply(n1,n1),multiply(multiply(n1,n1),x103)),
inference(cp,[status(thm)],[eq_147,eq_23]) ).
cnf(eq_155,plain,
add(inverse(n1),n1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_153,eq_1]),eq_148]) ).
cnf(eq_156,plain,
add(n1,multiply(n1,X)) = multiply(n1,add(X,n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_154,eq_148]),eq_148]),eq_148]) ).
cnf(eq_157,plain,
add(multiply(X,n1),n1) = multiply(n1,add(X,n1)),
eq_152 ).
cnf(eq_158,plain,
add(n1,multiply(X,n1)) = multiply(n1,add(n1,X)),
eq_151 ).
cnf(eq_159,plain,
multiply(n1,multiply(inverse(n1),n1)) = multiply(n1,inverse(n1)),
inference(cp,[status(thm)],[eq_149,eq_37]) ).
cnf(eq_160,plain,
n0 = multiply(n1,multiply(inverse(n1),n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_148]),eq_149]),eq_149]) ).
cnf(eq_161,plain,
multiply(X,inverse(X)) = multiply(n1,multiply(inverse(n1),n1)),
inference(rw,[status(thm)],[eq_3,eq_160]) ).
cnf(eq_162,plain,
add(multiply(x100,inverse(x100)),n1) = n1,
inference(cp,[status(thm)],[eq_148,eq_26]) ).
cnf(eq_163,plain,
add(multiply(X,inverse(X)),n1) = n1,
eq_162 ).
cnf(eq_164,plain,
multiply(X,multiply(n1,add(n1,X))) = X,
inference(cp,[status(thm)],[eq_158,eq_71]) ).
cnf(eq_165,plain,
multiply(inverse(n1),multiply(n1,n1)) = inverse(n1),
inference(cp,[status(thm)],[eq_1,eq_164]) ).
cnf(eq_166,plain,
multiply(inverse(n1),n1) = inverse(n1),
inference(rw,[status(thm)],[eq_165,eq_148]) ).
cnf(eq_167,plain,
add(inverse(n1),multiply(x102,n1)) = multiply(n1,add(inverse(n1),x102)),
inference(cp,[status(thm)],[eq_166,eq_0]) ).
cnf(eq_168,plain,
add(multiply(x100,inverse(x100)),inverse(n1)) = inverse(n1),
inference(cp,[status(thm)],[eq_166,eq_26]) ).
cnf(eq_169,plain,
multiply(X,inverse(X)) = multiply(n1,inverse(n1)),
inference(cp,[status(thm)],[eq_161,eq_159]) ).
cnf(eq_170,plain,
multiply(add(X,inverse(n1)),n1) = multiply(n1,add(inverse(n1),X)),
inference(rw,[status(thm)],[eq_167,eq_20]) ).
cnf(eq_171,plain,
add(multiply(X,inverse(X)),inverse(n1)) = inverse(n1),
eq_168 ).
cnf(eq_172,plain,
n0 = multiply(n1,inverse(n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_148]),eq_149]),eq_149]),eq_166]) ).
cnf(eq_173,plain,
multiply(n1,inverse(n1)) = inverse(n1),
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_100,eq_172]),eq_172]),eq_172]),eq_172]),eq_149]),eq_0]),eq_149]),eq_166]),eq_166]),eq_0]),eq_156]),eq_155]),eq_148]),eq_166]),eq_172]) ).
cnf(eq_174,plain,
multiply(inverse(n1),multiply(n1,inverse(n1))) = inverse(n1),
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_115,eq_172]),eq_172]),eq_172]),eq_0]),eq_149]),eq_166]),eq_172]),eq_172]),eq_172]),eq_149]),eq_0]),eq_157]),eq_149]),eq_163]),eq_166]),eq_148]),eq_166]),eq_166]) ).
cnf(eq_175,plain,
add(inverse(n1),multiply(x101,n1)) = x101,
inference(cp,[status(thm)],[eq_173,eq_26]) ).
cnf(eq_176,plain,
multiply(n1,add(x100,inverse(n1))) = x100,
inference(cp,[status(thm)],[eq_173,eq_25]) ).
cnf(eq_177,plain,
add(inverse(n1),inverse(n1)) = inverse(n1),
inference(cp,[status(thm)],[eq_173,eq_171]) ).
cnf(eq_178,plain,
multiply(inverse(n1),inverse(n1)) = inverse(n1),
inference(cp,[status(thm)],[eq_173,eq_174]) ).
cnf(eq_179,plain,
multiply(X,inverse(X)) = inverse(n1),
inference(cp,[status(thm)],[eq_169,eq_173]) ).
cnf(eq_180,plain,
X = multiply(n1,add(X,inverse(n1))),
eq_176 ).
cnf(eq_181,plain,
X = multiply(n1,add(inverse(n1),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_175,eq_20]),eq_170]) ).
cnf(eq_182,plain,
n0 = inverse(n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_148]),eq_149]),eq_149]),eq_166]),eq_179]) ).
cnf(eq_183,plain,
X = multiply(add(X,inverse(n1)),n1),
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_122,eq_182]),eq_182]),eq_1]),eq_155]),eq_150]),eq_20]) ).
cnf(eq_184,plain,
inverse(inverse(n1)) = n1,
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_99,eq_182]),eq_182]),eq_182]),eq_182]),eq_1]),eq_155]),eq_22]),eq_180]),eq_1]),eq_182]) ).
cnf(eq_185,plain,
X = add(multiply(X,n1),inverse(n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_182]),eq_166]) ).
cnf(eq_186,plain,
multiply(n1,X) = multiply(X,n1),
inference(cp,[status(thm)],[eq_185,eq_180]) ).
cnf(eq_187,plain,
multiply(X,n1) = multiply(n1,X),
eq_186 ).
cnf(eq_188,plain,
X = multiply(X,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_182]),eq_178]),eq_185]),eq_183]) ).
cnf(eq_189,plain,
X = multiply(add(X,n1),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_182]),eq_183]),eq_182]),eq_182]),eq_182]),eq_182]),eq_183]),eq_184]),eq_184]),eq_185]) ).
cnf(eq_190,plain,
X = add(X,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_84,eq_182]),eq_182]),eq_184]),eq_185]),eq_182]),eq_182]),eq_184]),eq_149]),eq_183]) ).
cnf(eq_191,plain,
multiply(inverse(X),X) = inverse(n1),
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_69,eq_182]),eq_182]),eq_177]),eq_182]),eq_149]),eq_183]) ).
cnf(eq_192,plain,
add(X,n1) = add(n1,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_107,eq_182]),eq_182]),eq_182]),eq_1]),eq_178]),eq_185]) ).
cnf(eq_193,plain,
add(inverse(X),X) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_182]),eq_182]),eq_178]),eq_185]),eq_148]) ).
cnf(eq_194,plain,
add(multiply(n1,X),inverse(n1)) = X,
inference(cp,[status(thm)],[eq_187,eq_185]) ).
cnf(eq_195,plain,
X = multiply(add(inverse(n1),X),n1),
inference(cp,[status(thm)],[eq_181,eq_186]) ).
cnf(eq_196,plain,
add(inverse(x101),multiply(x101,add(inverse(x101),inverse(x101)))) = inverse(x101),
inference(cp,[status(thm)],[eq_188,eq_11]) ).
cnf(eq_197,plain,
add(inverse(n1),multiply(x101,add(inverse(inverse(x101)),inverse(x101)))) = inverse(inverse(x101)),
inference(cp,[status(thm)],[eq_191,eq_11]) ).
cnf(eq_198,plain,
multiply(inverse(x101),add(x101,multiply(inverse(x101),inverse(x101)))) = inverse(x101),
inference(cp,[status(thm)],[eq_190,eq_10]) ).
cnf(eq_199,plain,
multiply(add(n1,X),X) = X,
inference(cp,[status(thm)],[eq_192,eq_189]) ).
cnf(eq_200,plain,
X = multiply(inverse(inverse(X)),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_182]),eq_191]),eq_190]),eq_194]) ).
cnf(eq_201,plain,
multiply(X,Y) = multiply(Y,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_190]),eq_182]),eq_190]),eq_183]) ).
cnf(eq_202,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_197,eq_193]),eq_20]),eq_183]) ).
cnf(eq_203,plain,
multiply(inverse(X),n1) = inverse(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_198,eq_188]),eq_1]) ).
cnf(eq_204,plain,
add(inverse(X),inverse(n1)) = inverse(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_196,eq_190]),eq_179]) ).
cnf(eq_205,plain,
multiply(n1,inverse(X)) = inverse(X),
inference(cp,[status(thm)],[eq_204,eq_180]) ).
cnf(eq_206,plain,
X = multiply(X,add(n1,X)),
inference(cp,[status(thm)],[eq_199,eq_201]) ).
cnf(eq_207,plain,
multiply(X,n1) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_202,eq_203]) ).
cnf(eq_208,plain,
multiply(X,n1) = X,
inference(cp,[status(thm)],[eq_202,eq_200]) ).
cnf(eq_209,plain,
X = add(X,inverse(n1)),
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_98,eq_208]),eq_182]),eq_182]),eq_208]),eq_191]),eq_202]),eq_206]) ).
cnf(eq_210,plain,
X = multiply(n1,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_120,eq_208]),eq_182]),eq_188]),eq_1]),eq_190]),eq_193]) ).
cnf(eq_211,plain,
X = add(inverse(n1),X),
inference(rw,[status(thm)],[eq_195,eq_208]) ).
cnf(eq_212,plain,
multiply(add(n1,inverse(X)),add(X,inverse(X))) = n1,
inference(cp,[status(thm)],[eq_205,eq_10]) ).
cnf(eq_213,plain,
add(n1,inverse(X)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_212,eq_1]),eq_208]) ).
cnf(eq_214,plain,
add(n1,multiply(X,n1)) = n1,
inference(cp,[status(thm)],[eq_207,eq_213]) ).
cnf(eq_215,plain,
add(n1,X) = n1,
inference(rw,[status(thm)],[eq_214,eq_208]) ).
cnf(eq_216,plain,
multiply(X,inverse(n1)) = inverse(n1),
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_117,eq_182]),eq_182]),eq_211]),eq_182]),eq_182]),eq_191]),eq_191]),eq_215]),eq_215]),eq_191]) ).
cnf(eq_217,plain,
X = multiply(add(Y,X),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_70,eq_208]),eq_208]),eq_182]),eq_216]),eq_209]),eq_210]) ).
cnf(eq_218,negated_conjecture,
b != b,
inference(cp,[status(thm)],[eq_217,eq_8]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : BOO026-1 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.14 % Command : run_maedmax %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Jul 26 03:39:23 EDT 2022
% 0.15/0.36 % CPUTime :
% 34.93/35.20 % SZS status Unsatisfiable
% 34.93/35.20 % SZS output start CNFRefutation for /tmp/MaedMax_4968
% See solution above
% 34.93/35.20
%------------------------------------------------------------------------------