TSTP Solution File: BOO014-2 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 06:57:46 EDT 2022
% Result : Unsatisfiable 16.54s 16.74s
% Output : CNFRefutation 16.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of clauses : 147 ( 147 unt; 0 nHn; 56 RR)
% Number of literals : 147 ( 146 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 138 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_32167') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_32167') ).
cnf(eq_2,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/tmp/MaedMax_32167') ).
cnf(eq_3,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_32167') ).
cnf(eq_4,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_32167') ).
cnf(eq_5,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_32167') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_32167') ).
cnf(eq_7,axiom,
add(inverse(X),X) = multiplicative_identity,
file('/tmp/MaedMax_32167') ).
cnf(eq_8,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_32167') ).
cnf(eq_9,axiom,
multiply(inverse(X),X) = additive_identity,
file('/tmp/MaedMax_32167') ).
cnf(eq_10,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_32167') ).
cnf(eq_11,axiom,
X = multiply(multiplicative_identity,X),
file('/tmp/MaedMax_32167') ).
cnf(eq_12,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_32167') ).
cnf(eq_13,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_32167') ).
cnf(eq_14,axiom,
add(a,b) = c,
file('/tmp/MaedMax_32167') ).
cnf(eq_15,axiom,
multiply(inverse(a),inverse(b)) = d,
file('/tmp/MaedMax_32167') ).
cnf(eq_16,negated_conjecture,
inverse(c) != d,
file('/tmp/MaedMax_32167') ).
cnf(eq_17,plain,
add(X,multiply(X,x102)) = multiply(X,add(multiplicative_identity,x102)),
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_18,plain,
add(additive_identity,multiply(X,x102)) = multiply(X,add(inverse(X),x102)),
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_19,plain,
add(additive_identity,multiply(inverse(X),x102)) = multiply(inverse(X),add(X,x102)),
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_20,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_21,plain,
add(multiply(X,x101),additive_identity) = multiply(X,add(x101,inverse(X))),
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_22,plain,
add(multiply(inverse(X),x101),additive_identity) = multiply(inverse(X),add(x101,X)),
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_23,plain,
add(X,multiply(x102,X)) = multiply(add(multiplicative_identity,x102),X),
inference(cp,[status(thm)],[eq_11,eq_4]) ).
cnf(eq_24,plain,
add(additive_identity,multiply(x102,inverse(X))) = multiply(add(X,x102),inverse(X)),
inference(cp,[status(thm)],[eq_8,eq_4]) ).
cnf(eq_25,plain,
add(additive_identity,multiply(x102,X)) = multiply(add(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_26,plain,
add(b,a) = c,
inference(cp,[status(thm)],[eq_0,eq_14]) ).
cnf(eq_27,plain,
inverse(multiplicative_identity) = additive_identity,
inference(cp,[status(thm)],[eq_11,eq_8]) ).
cnf(eq_28,plain,
multiply(c,add(a,x102)) = add(a,multiply(b,x102)),
inference(cp,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_29,plain,
multiply(multiplicative_identity,add(X,x102)) = add(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_30,plain,
multiply(add(inverse(X),x101),multiplicative_identity) = add(inverse(X),multiply(x101,X)),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_31,plain,
multiply(multiplicative_identity,add(x102,inverse(X))) = add(multiply(X,x102),inverse(X)),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_32,plain,
multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_33,plain,
multiply(add(x100,inverse(X)),multiplicative_identity) = add(multiply(x100,X),inverse(X)),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_34,plain,
multiply(add(x100,X),multiplicative_identity) = add(multiply(x100,inverse(X)),X),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_35,plain,
multiply(inverse(b),inverse(a)) = d,
inference(cp,[status(thm)],[eq_1,eq_15]) ).
cnf(eq_36,plain,
add(a,multiply(b,X)) = multiply(c,add(a,X)),
eq_28 ).
cnf(eq_37,plain,
multiply(X,inverse(Y)) = multiply(add(Y,X),inverse(Y)),
inference(rw,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_38,plain,
add(inverse(X),Y) = add(inverse(X),multiply(Y,X)),
inference(rw,[status(thm)],[eq_30,eq_10]) ).
cnf(eq_39,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_21,eq_12]) ).
cnf(eq_40,plain,
add(X,inverse(Y)) = add(multiply(Y,X),inverse(Y)),
inference(rw,[status(thm)],[eq_31,eq_11]) ).
cnf(eq_41,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_20 ).
cnf(eq_42,plain,
add(X,Y) = add(X,multiply(inverse(X),Y)),
inference(rw,[status(thm)],[eq_29,eq_11]) ).
cnf(eq_43,plain,
add(X,inverse(Y)) = add(multiply(X,Y),inverse(Y)),
inference(rw,[status(thm)],[eq_33,eq_10]) ).
cnf(eq_44,plain,
multiply(X,Y) = multiply(X,add(inverse(X),Y)),
inference(rw,[status(thm)],[eq_18,eq_13]) ).
cnf(eq_45,plain,
multiply(inverse(X),Y) = multiply(inverse(X),add(X,Y)),
inference(rw,[status(thm)],[eq_19,eq_13]) ).
cnf(eq_46,plain,
multiply(X,Y) = multiply(add(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_25,eq_13]) ).
cnf(eq_47,plain,
add(X,multiply(X,Y)) = multiply(X,add(multiplicative_identity,Y)),
eq_17 ).
cnf(eq_48,plain,
add(X,Y) = add(multiply(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_32,eq_11]) ).
cnf(eq_49,plain,
add(X,multiply(Y,X)) = multiply(add(multiplicative_identity,Y),X),
eq_23 ).
cnf(eq_50,plain,
add(X,Y) = add(multiply(X,inverse(Y)),Y),
inference(rw,[status(thm)],[eq_34,eq_10]) ).
cnf(eq_51,plain,
multiply(inverse(X),Y) = multiply(inverse(X),add(Y,X)),
inference(rw,[status(thm)],[eq_22,eq_12]) ).
cnf(eq_52,negated_conjecture,
inverse(add(a,b)) != d,
inference(rw,[status(thm)],[eq_16,eq_14]) ).
cnf(eq_53,plain,
add(multiply(X,Y),multiply(x102,Y)) = multiply(add(add(inverse(Y),X),x102),Y),
inference(cp,[status(thm)],[eq_46,eq_4]) ).
cnf(eq_54,plain,
add(X,Y) = add(multiply(inverse(X),Y),X),
inference(cp,[status(thm)],[eq_0,eq_48]) ).
cnf(eq_55,plain,
add(X,additive_identity) = add(X,X),
inference(cp,[status(thm)],[eq_9,eq_42]) ).
cnf(eq_56,plain,
add(b,d) = add(b,inverse(a)),
inference(cp,[status(thm)],[eq_35,eq_42]) ).
cnf(eq_57,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_10,eq_42]) ).
cnf(eq_58,plain,
add(inverse(x100),x100) = add(multiplicative_identity,x100),
inference(cp,[status(thm)],[eq_10,eq_48]) ).
cnf(eq_59,plain,
add(additive_identity,x100) = add(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_8,eq_48]) ).
cnf(eq_60,plain,
multiply(X,Y) = multiply(add(inverse(X),Y),X),
inference(cp,[status(thm)],[eq_44,eq_1]) ).
cnf(eq_61,plain,
multiply(inverse(X),Y) = multiply(add(Y,X),inverse(X)),
inference(cp,[status(thm)],[eq_51,eq_1]) ).
cnf(eq_62,plain,
multiply(X,multiplicative_identity) = multiply(X,X),
inference(cp,[status(thm)],[eq_7,eq_44]) ).
cnf(eq_63,plain,
multiply(multiplicative_identity,x100) = multiply(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_6,eq_46]) ).
cnf(eq_64,plain,
multiply(inverse(Y),add(X,Y)) = multiply(inverse(Y),multiply(inverse(Y),X)),
inference(cp,[status(thm)],[eq_48,eq_51]) ).
cnf(eq_65,plain,
X = add(X,X),
inference(rw,[status(thm)],[eq_55,eq_12]) ).
cnf(eq_66,plain,
X = multiply(X,X),
inference(rw,[status(thm)],[eq_62,eq_10]) ).
cnf(eq_67,plain,
X = add(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_59,eq_13]) ).
cnf(eq_68,plain,
multiply(add(X,Y),Z) = multiply(add(add(inverse(Z),X),Y),Z),
inference(rw,[status(thm)],[eq_53,eq_4]) ).
cnf(eq_69,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_58,eq_7]) ).
cnf(eq_70,plain,
multiply(add(X,Y),inverse(Y)) = multiply(inverse(Y),X),
eq_61 ).
cnf(eq_71,plain,
multiply(inverse(X),add(Y,X)) = multiply(inverse(X),multiply(inverse(X),Y)),
eq_64 ).
cnf(eq_72,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_57,eq_6]) ).
cnf(eq_73,plain,
X = multiply(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_63,eq_11]) ).
cnf(eq_74,negated_conjecture,
multiply(inverse(b),inverse(a)) != inverse(add(a,b)),
inference(cp,[status(thm)],[eq_35,eq_52]) ).
cnf(eq_75,plain,
add(X,multiply(X,Y)) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_69]),eq_10]) ).
cnf(eq_76,plain,
add(X,multiply(Y,X)) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_69]),eq_11]) ).
cnf(eq_77,plain,
add(multiply(x101,Y),Y) = multiply(add(multiplicative_identity,x101),Y),
inference(cp,[status(thm)],[eq_0,eq_49]) ).
cnf(eq_78,plain,
add(add(inverse(X),Y),multiply(X,Y)) = multiply(add(multiplicative_identity,X),add(inverse(X),Y)),
inference(cp,[status(thm)],[eq_44,eq_49]) ).
cnf(eq_79,plain,
add(add(Y,inverse(X)),multiply(X,Y)) = multiply(add(multiplicative_identity,X),add(Y,inverse(X))),
inference(cp,[status(thm)],[eq_39,eq_49]) ).
cnf(eq_80,plain,
add(inverse(a),d) = multiply(add(multiplicative_identity,inverse(b)),inverse(a)),
inference(cp,[status(thm)],[eq_35,eq_49]) ).
cnf(eq_81,plain,
add(inverse(b),d) = multiply(add(multiplicative_identity,inverse(a)),inverse(b)),
inference(cp,[status(thm)],[eq_15,eq_49]) ).
cnf(eq_82,plain,
add(X,multiply(X,x102)) = multiply(X,add(X,x102)),
inference(cp,[status(thm)],[eq_66,eq_5]) ).
cnf(eq_83,plain,
multiply(add(X,x101),X) = add(X,multiply(x101,X)),
inference(cp,[status(thm)],[eq_65,eq_3]) ).
cnf(eq_84,plain,
X = multiply(X,add(X,Y)),
inference(rw,[status(thm)],[eq_82,eq_75]) ).
cnf(eq_85,plain,
X = multiply(add(X,Y),X),
inference(rw,[status(thm)],[eq_83,eq_76]) ).
cnf(eq_86,plain,
add(inverse(a),d) = inverse(a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_80,eq_69]),eq_11]) ).
cnf(eq_87,plain,
add(inverse(b),d) = inverse(b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_69]),eq_11]) ).
cnf(eq_88,plain,
add(X,inverse(Y)) = add(add(X,inverse(Y)),multiply(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_69]),eq_11]) ).
cnf(eq_89,plain,
X = add(multiply(Y,X),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_69]),eq_11]) ).
cnf(eq_90,plain,
add(add(inverse(X),Y),multiply(X,Y)) = add(inverse(X),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_69]),eq_11]) ).
cnf(eq_91,plain,
multiply(inverse(X),X) = inverse(multiplicative_identity),
inference(rw,[status(thm)],[eq_9,eq_27]) ).
cnf(eq_92,plain,
add(inverse(inverse(X)),X) = multiply(inverse(inverse(X)),add(multiplicative_identity,X)),
inference(cp,[status(thm)],[eq_73,eq_47]) ).
cnf(eq_93,plain,
multiply(inverse(b),b) = multiply(d,b),
inference(cp,[status(thm)],[eq_87,eq_46]) ).
cnf(eq_94,plain,
multiply(inverse(a),a) = multiply(d,a),
inference(cp,[status(thm)],[eq_86,eq_46]) ).
cnf(eq_95,plain,
add(b,inverse(a)) = add(d,b),
inference(cp,[status(thm)],[eq_56,eq_0]) ).
cnf(eq_96,plain,
multiply(c,a) = a,
inference(cp,[status(thm)],[eq_14,eq_85]) ).
cnf(eq_97,plain,
multiply(c,b) = b,
inference(cp,[status(thm)],[eq_26,eq_85]) ).
cnf(eq_98,plain,
multiply(add(X,Y),Y) = Y,
inference(cp,[status(thm)],[eq_0,eq_85]) ).
cnf(eq_99,plain,
X = multiply(add(Y,X),X),
eq_98 ).
cnf(eq_100,plain,
multiply(d,a) = inverse(multiplicative_identity),
inference(rw,[status(thm)],[eq_94,eq_91]) ).
cnf(eq_101,plain,
multiply(d,b) = inverse(multiplicative_identity),
inference(rw,[status(thm)],[eq_93,eq_91]) ).
cnf(eq_102,plain,
add(b,inverse(multiplicative_identity)) = multiply(add(multiplicative_identity,d),b),
inference(cp,[status(thm)],[eq_101,eq_49]) ).
cnf(eq_103,plain,
add(a,inverse(a)) = add(c,inverse(a)),
inference(cp,[status(thm)],[eq_96,eq_43]) ).
cnf(eq_104,plain,
add(b,inverse(b)) = add(c,inverse(b)),
inference(cp,[status(thm)],[eq_97,eq_43]) ).
cnf(eq_105,plain,
add(inverse(multiplicative_identity),inverse(d)) = add(a,inverse(d)),
inference(cp,[status(thm)],[eq_100,eq_40]) ).
cnf(eq_106,plain,
add(inverse(multiplicative_identity),inverse(d)) = add(b,inverse(d)),
inference(cp,[status(thm)],[eq_101,eq_40]) ).
cnf(eq_107,plain,
multiply(multiply(X,add(Y,multiplicative_identity)),multiply(X,Y)) = multiply(X,Y),
inference(cp,[status(thm)],[eq_41,eq_85]) ).
cnf(eq_108,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_92,eq_67]),eq_69]),eq_10]) ).
cnf(eq_109,plain,
multiply(X,Y) = multiply(X,multiply(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_107,eq_72]),eq_10]) ).
cnf(eq_110,plain,
add(c,inverse(b)) = multiplicative_identity,
inference(rw,[status(thm)],[eq_104,eq_6]) ).
cnf(eq_111,plain,
add(b,inverse(d)) = inverse(d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_27]),eq_13]) ).
cnf(eq_112,plain,
add(c,inverse(a)) = multiplicative_identity,
inference(rw,[status(thm)],[eq_103,eq_6]) ).
cnf(eq_113,plain,
add(a,inverse(d)) = inverse(d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_105,eq_27]),eq_13]) ).
cnf(eq_114,plain,
multiply(multiplicative_identity,add(c,x102)) = add(c,multiply(inverse(b),x102)),
inference(cp,[status(thm)],[eq_110,eq_3]) ).
cnf(eq_115,plain,
add(c,X) = add(c,multiply(inverse(b),X)),
inference(rw,[status(thm)],[eq_114,eq_11]) ).
cnf(eq_116,plain,
add(b,inverse(multiplicative_identity)) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_102,eq_69]),eq_11]) ).
cnf(eq_117,plain,
multiply(add(c,x101),multiplicative_identity) = add(c,multiply(x101,inverse(a))),
inference(cp,[status(thm)],[eq_112,eq_3]) ).
cnf(eq_118,plain,
add(c,X) = add(c,multiply(X,inverse(a))),
inference(rw,[status(thm)],[eq_117,eq_10]) ).
cnf(eq_119,plain,
multiply(b,inverse(d)) = b,
inference(cp,[status(thm)],[eq_111,eq_84]) ).
cnf(eq_120,plain,
add(a,b) = multiply(c,add(a,inverse(d))),
inference(cp,[status(thm)],[eq_119,eq_36]) ).
cnf(eq_121,plain,
multiply(c,inverse(d)) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_120,eq_14]),eq_113]) ).
cnf(eq_122,plain,
add(c,inverse(d)) = inverse(d),
inference(cp,[status(thm)],[eq_121,eq_89]) ).
cnf(eq_123,plain,
multiply(inverse(inverse(d)),inverse(d)) = multiply(inverse(inverse(d)),c),
inference(cp,[status(thm)],[eq_122,eq_51]) ).
cnf(eq_124,plain,
multiply(d,c) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_123,eq_108]),eq_8]),eq_108]) ).
cnf(eq_125,plain,
add(inverse(c),additive_identity) = add(inverse(c),d),
inference(cp,[status(thm)],[eq_124,eq_38]) ).
cnf(eq_126,plain,
add(inverse(c),d) = inverse(c),
inference(rw,[status(thm)],[eq_125,eq_12]) ).
cnf(eq_127,plain,
multiply(inverse(c),d) = d,
inference(cp,[status(thm)],[eq_126,eq_99]) ).
cnf(eq_128,plain,
multiply(b,x102) = multiply(add(add(inverse(x102),b),inverse(multiplicative_identity)),x102),
inference(cp,[status(thm)],[eq_116,eq_68]) ).
cnf(eq_129,plain,
multiply(X,b) = multiply(b,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_128,eq_27]),eq_12]),eq_60]) ).
cnf(eq_130,plain,
add(multiply(inverse(x101),b),x101) = add(b,x101),
inference(cp,[status(thm)],[eq_129,eq_50]) ).
cnf(eq_131,plain,
add(X,b) = add(b,X),
inference(rw,[status(thm)],[eq_130,eq_54]) ).
cnf(eq_132,plain,
multiply(add(X,b),inverse(b)) = multiply(X,inverse(b)),
inference(cp,[status(thm)],[eq_131,eq_37]) ).
cnf(eq_133,plain,
multiply(X,inverse(b)) = multiply(inverse(b),X),
inference(rw,[status(thm)],[eq_132,eq_70]) ).
cnf(eq_134,plain,
add(add(inverse(x101),b),multiply(x101,b)) = add(b,inverse(x101)),
inference(cp,[status(thm)],[eq_131,eq_88]) ).
cnf(eq_135,plain,
add(inverse(X),b) = add(b,inverse(X)),
inference(rw,[status(thm)],[eq_134,eq_90]) ).
cnf(eq_136,plain,
add(c,inverse(a)) = add(c,add(Y,inverse(a))),
inference(cp,[status(thm)],[eq_99,eq_118]) ).
cnf(eq_137,plain,
add(c,add(X,inverse(a))) = multiplicative_identity,
inference(rw,[status(thm)],[eq_136,eq_112]) ).
cnf(eq_138,plain,
add(c,add(inverse(a),b)) = multiplicative_identity,
inference(cp,[status(thm)],[eq_131,eq_137]) ).
cnf(eq_139,plain,
add(c,multiply(inverse(b),multiply(inverse(b),Y))) = add(c,add(Y,b)),
inference(cp,[status(thm)],[eq_71,eq_115]) ).
cnf(eq_140,plain,
add(c,X) = add(c,add(X,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_139,eq_109]),eq_115]) ).
cnf(eq_141,negated_conjecture,
multiply(inverse(a),inverse(b)) != inverse(add(a,b)),
inference(cp,[status(thm)],[eq_133,eq_74]) ).
cnf(eq_142,plain,
add(c,d) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_138,eq_135]),eq_95]),eq_140]) ).
cnf(eq_143,plain,
multiply(inverse(c),multiplicative_identity) = multiply(inverse(c),d),
inference(cp,[status(thm)],[eq_142,eq_45]) ).
cnf(eq_144,plain,
inverse(c) = d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_143,eq_10]),eq_127]) ).
cnf(eq_145,negated_conjecture,
d != d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_15]),eq_14]),eq_144]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n015.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 03:33:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 16.54/16.74 % SZS status Unsatisfiable
% 16.54/16.74 % SZS output start CNFRefutation for /tmp/MaedMax_32167
% See solution above
% 16.54/16.74
%------------------------------------------------------------------------------