TSTP Solution File: GRP474-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP474-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 07:02:48 EDT 2022
% Result : Unsatisfiable 40.11s 40.30s
% Output : CNFRefutation 40.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of clauses : 138 ( 138 unt; 0 nHn; 10 RR)
% Number of literals : 138 ( 137 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 406 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(inverse(divide(B,A)),divide(divide(C,D),B)),divide(D,C)),
file('/tmp/MaedMax_27425') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_27425') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_27425') ).
cnf(eq_3,plain,
divide(divide(inverse(multiply(A,B)),divide(divide(x102,x103),A)),divide(x103,x102)) = inverse(B),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_4,plain,
divide(divide(inverse(A),divide(divide(x102,x103),divide(inverse(divide(B,A)),divide(divide(C,D),B)))),divide(x103,x102)) = divide(D,C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
divide(divide(inverse(divide(divide(D,C),x101)),A),divide(divide(divide(C,D),B),inverse(divide(B,A)))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
divide(divide(inverse(divide(inverse(B),x101)),multiply(divide(x102,x103),B)),divide(x103,x102)) = x101,
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_7,plain,
divide(divide(inverse(divide(x100,x101)),divide(divide(divide(D,C),divide(inverse(divide(B,A)),divide(divide(C,D),B))),x100)),A) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
divide(A,B) = divide(divide(inverse(C),divide(divide(D,x4),divide(inverse(divide(x5,C)),divide(divide(B,A),x5)))),divide(x4,D)),
eq_4 ).
cnf(eq_9,plain,
A = divide(divide(inverse(divide(inverse(B),A)),multiply(divide(C,D),B)),divide(D,C)),
eq_6 ).
cnf(eq_10,plain,
divide(divide(inverse(multiply(A,B)),divide(divide(C,D),A)),divide(D,C)) = inverse(B),
eq_3 ).
cnf(eq_11,plain,
A = divide(divide(inverse(divide(divide(B,C),A)),D),multiply(divide(divide(C,B),x4),divide(x4,D))),
inference(rw,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_12,plain,
A = divide(divide(inverse(divide(B,A)),divide(divide(divide(C,D),divide(inverse(divide(x4,x5)),divide(divide(D,C),x4))),B)),x5),
eq_7 ).
cnf(eq_13,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_14,plain,
divide(divide(inverse(x100),A),divide(divide(divide(divide(divide(x104,x105),x103),inverse(divide(x103,x100))),B),inverse(divide(B,A)))) = divide(x105,x104),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_15,plain,
divide(divide(inverse(x100),divide(divide(x101,x102),divide(inverse(divide(divide(D,C),x100)),A))),divide(x102,x101)) = divide(divide(divide(C,D),B),inverse(divide(B,A))),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_16,plain,
divide(divide(inverse(x100),divide(divide(x101,x102),divide(inverse(divide(x103,x100)),divide(divide(A,B),x103)))),divide(x102,x101)) = divide(divide(x4,D),divide(inverse(C),divide(divide(D,x4),divide(inverse(divide(x5,C)),divide(divide(B,A),x5))))),
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_17,plain,
divide(A,B) = divide(divide(inverse(C),D),divide(divide(divide(divide(divide(B,A),x4),inverse(divide(x4,C))),x5),inverse(divide(x5,D)))),
eq_14 ).
cnf(eq_18,plain,
divide(divide(divide(A,B),C),inverse(divide(C,D))) = divide(divide(inverse(x4),divide(divide(x5,x6),divide(inverse(divide(divide(B,A),x4)),D))),divide(x6,x5)),
eq_15 ).
cnf(eq_19,negated_conjecture,
divide(divide(inverse(C),divide(divide(D,x4),divide(inverse(divide(x5,C)),divide(divide(inverse(divide(b3,inverse(c3))),a3),x5)))),divide(x4,D)) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_8,eq_13]) ).
cnf(eq_20,negated_conjecture,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(inverse(divide(b3,inverse(c3))),a3),D)))),divide(C,B)) != divide(divide(a3,inverse(b3)),inverse(c3)),
eq_19 ).
cnf(eq_21,plain,
divide(A,B) = divide(divide(inverse(C),D),multiply(divide(multiply(divide(divide(B,A),x4),divide(x4,C)),x5),divide(x5,D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_1]),eq_1]) ).
cnf(eq_22,plain,
divide(divide(inverse(x100),inverse(B)),divide(divide(divide(divide(divide(x104,x105),x103),inverse(divide(x103,x100))),A),inverse(multiply(A,B)))) = divide(x105,x104),
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_23,plain,
divide(divide(inverse(divide(divide(multiply(divide(C,D),B),inverse(divide(inverse(B),A))),x102)),x103),multiply(A,divide(divide(D,C),x103))) = x102,
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_24,plain,
divide(divide(inverse(multiply(inverse(x100),B)),multiply(divide(x102,x103),x100)),divide(x103,x102)) = inverse(B),
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(eq_25,plain,
divide(divide(inverse(divide(inverse(x100),x101)),multiply(multiply(A,B),x100)),divide(inverse(B),A)) = x101,
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(eq_26,plain,
divide(divide(inverse(multiply(divide(D,C),x101)),A),divide(divide(divide(C,D),B),inverse(divide(B,A)))) = inverse(x101),
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_27,plain,
divide(divide(inverse(multiply(divide(A,B),C)),D),multiply(divide(divide(B,A),x4),divide(x4,D))) = inverse(C),
inference(rw,[status(thm)],[eq_26,eq_1]) ).
cnf(eq_28,plain,
divide(divide(inverse(multiply(inverse(A),B)),multiply(divide(C,D),A)),divide(D,C)) = inverse(B),
eq_24 ).
cnf(eq_29,plain,
divide(A,B) = divide(multiply(inverse(C),D),multiply(divide(multiply(divide(divide(B,A),x4),divide(x4,C)),x5),multiply(x5,D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_1]),eq_1]),eq_1]) ).
cnf(eq_30,plain,
divide(A,B) = divide(divide(C,D),divide(inverse(x4),divide(divide(D,C),divide(inverse(divide(x5,x4)),divide(divide(A,B),x5))))),
inference(rw,[status(thm)],[eq_16,eq_8]) ).
cnf(eq_31,plain,
A = divide(divide(inverse(divide(inverse(B),A)),multiply(multiply(C,D),B)),divide(inverse(D),C)),
eq_25 ).
cnf(eq_32,plain,
A = divide(divide(inverse(divide(multiply(multiply(divide(B,C),D),divide(inverse(D),x4)),A)),x5),multiply(x4,divide(divide(C,B),x5))),
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_33,plain,
divide(divide(inverse(divide(inverse(x100),x101)),multiply(multiply(inverse(B),x103),x100)),multiply(inverse(x103),B)) = x101,
inference(cp,[status(thm)],[eq_1,eq_31]) ).
cnf(eq_34,plain,
divide(divide(inverse(multiply(inverse(x100),x101)),multiply(multiply(A,B),x100)),divide(inverse(B),A)) = inverse(x101),
inference(cp,[status(thm)],[eq_1,eq_28]) ).
cnf(eq_35,plain,
A = divide(divide(inverse(divide(inverse(B),A)),multiply(multiply(inverse(C),D),B)),multiply(inverse(D),C)),
eq_33 ).
cnf(eq_36,plain,
divide(divide(inverse(multiply(inverse(A),B)),multiply(multiply(C,D),A)),divide(inverse(D),C)) = inverse(B),
eq_34 ).
cnf(eq_37,plain,
divide(divide(inverse(multiply(inverse(x100),x101)),multiply(multiply(inverse(B),x103),x100)),multiply(inverse(x103),B)) = inverse(x101),
inference(cp,[status(thm)],[eq_1,eq_36]) ).
cnf(eq_38,plain,
divide(divide(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(C),D),A)),multiply(inverse(D),C)) = inverse(B),
eq_37 ).
cnf(eq_39,plain,
divide(divide(inverse(multiply(multiply(divide(divide(B,A),x4),divide(x4,D)),x101)),inverse(C)),divide(D,inverse(multiply(divide(A,B),C)))) = inverse(x101),
inference(cp,[status(thm)],[eq_27,eq_10]) ).
cnf(eq_40,plain,
divide(divide(inverse(divide(multiply(inverse(D),C),x101)),inverse(B)),divide(multiply(multiply(inverse(C),D),A),inverse(multiply(inverse(A),B)))) = x101,
inference(cp,[status(thm)],[eq_38,eq_0]) ).
cnf(eq_41,plain,
divide(multiply(inverse(multiply(multiply(divide(divide(A,B),C),divide(C,D)),x4)),x5),multiply(D,multiply(divide(B,A),x5))) = inverse(x4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_1]),eq_1]) ).
cnf(eq_42,plain,
A = divide(multiply(inverse(divide(multiply(inverse(B),C),A)),D),multiply(multiply(multiply(inverse(C),B),x4),multiply(inverse(x4),D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_1]),eq_1]) ).
cnf(eq_43,plain,
divide(divide(inverse(x100),divide(divide(x101,x102),divide(inverse(divide(x103,x100)),divide(divide(A,B),x103)))),divide(x102,x101)) = divide(multiply(divide(multiply(divide(divide(B,A),x4),divide(x4,C)),x5),divide(x5,D)),divide(inverse(C),D)),
inference(cp,[status(thm)],[eq_21,eq_8]) ).
cnf(eq_44,plain,
divide(A,B) = divide(multiply(divide(multiply(divide(divide(A,B),C),divide(C,D)),x4),divide(x4,x5)),divide(inverse(D),x5)),
inference(rw,[status(thm)],[eq_43,eq_8]) ).
cnf(eq_45,plain,
divide(divide(inverse(x100),divide(divide(x101,x102),divide(inverse(divide(x103,x100)),divide(divide(A,B),x103)))),divide(x102,x101)) = divide(multiply(divide(multiply(divide(divide(B,A),x4),divide(x4,C)),x5),multiply(x5,D)),multiply(inverse(C),D)),
inference(cp,[status(thm)],[eq_29,eq_8]) ).
cnf(eq_46,plain,
divide(A,B) = divide(multiply(divide(multiply(divide(divide(A,B),C),divide(C,D)),x4),multiply(x4,x5)),multiply(inverse(D),x5)),
inference(rw,[status(thm)],[eq_45,eq_8]) ).
cnf(eq_47,plain,
divide(multiply(divide(multiply(divide(A,x102),divide(x102,x103)),x104),divide(x104,x105)),divide(inverse(x103),x105)) = divide(multiply(inverse(divide(multiply(inverse(B),C),A)),D),multiply(multiply(multiply(inverse(C),B),x4),multiply(inverse(x4),D))),
inference(cp,[status(thm)],[eq_42,eq_44]) ).
cnf(eq_48,plain,
divide(multiply(divide(multiply(divide(A,x102),divide(x102,x103)),x104),multiply(x104,x105)),multiply(inverse(x103),x105)) = divide(divide(inverse(divide(multiply(multiply(divide(B,C),D),divide(inverse(D),x4)),A)),x5),multiply(x4,divide(divide(C,B),x5))),
inference(cp,[status(thm)],[eq_32,eq_46]) ).
cnf(eq_49,plain,
A = divide(multiply(divide(multiply(divide(A,B),divide(B,C)),D),multiply(D,x4)),multiply(inverse(C),x4)),
inference(rw,[status(thm)],[eq_48,eq_32]) ).
cnf(eq_50,plain,
A = divide(multiply(divide(multiply(divide(A,B),divide(B,C)),D),divide(D,x4)),divide(inverse(C),x4)),
inference(rw,[status(thm)],[eq_47,eq_42]) ).
cnf(eq_51,plain,
divide(divide(x100,x101),divide(inverse(x102),divide(divide(x101,x100),divide(inverse(divide(x103,x102)),divide(A,x103))))) = divide(divide(inverse(divide(multiply(multiply(divide(B,C),D),divide(inverse(D),x4)),A)),x5),multiply(x4,divide(divide(C,B),x5))),
inference(cp,[status(thm)],[eq_32,eq_30]) ).
cnf(eq_52,plain,
divide(multiply(A,divide(divide(inverse(C),x4),x104)),divide(inverse(x4),x104)) = multiply(divide(A,B),divide(B,C)),
inference(cp,[status(thm)],[eq_50,eq_50]) ).
cnf(eq_53,plain,
divide(multiply(multiply(multiply(divide(x100,x101),divide(x101,x102)),B),multiply(inverse(B),x104)),multiply(inverse(x102),x104)) = x100,
inference(cp,[status(thm)],[eq_1,eq_49]) ).
cnf(eq_54,plain,
A = divide(divide(B,C),divide(inverse(D),divide(divide(C,B),divide(inverse(divide(x4,D)),divide(A,x4))))),
inference(rw,[status(thm)],[eq_51,eq_32]) ).
cnf(eq_55,plain,
divide(multiply(A,divide(divide(inverse(B),C),D)),divide(inverse(C),D)) = multiply(divide(A,x4),divide(x4,B)),
eq_52 ).
cnf(eq_56,plain,
A = divide(multiply(multiply(multiply(divide(A,B),divide(B,C)),D),multiply(inverse(D),x4)),multiply(inverse(C),x4)),
eq_53 ).
cnf(eq_57,plain,
divide(divide(divide(A,B),C),inverse(divide(C,D))) = divide(divide(divide(A,B),x106),inverse(divide(x106,D))),
inference(cp,[status(thm)],[eq_18,eq_18]) ).
cnf(eq_58,plain,
divide(A,B) = divide(divide(divide(x104,x103),x106),inverse(divide(x106,divide(divide(B,A),divide(x103,x104))))),
inference(cp,[status(thm)],[eq_8,eq_18]) ).
cnf(eq_59,plain,
divide(A,B) = divide(divide(divide(C,D),x4),inverse(divide(x4,divide(divide(B,A),divide(D,C))))),
eq_58 ).
cnf(eq_60,plain,
divide(divide(divide(A,B),C),inverse(divide(C,D))) = divide(divide(divide(A,B),x4),inverse(divide(x4,D))),
eq_57 ).
cnf(eq_61,negated_conjecture,
divide(divide(divide(A,B),C),inverse(divide(C,divide(divide(inverse(divide(b3,inverse(c3))),a3),divide(B,A))))) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_18,eq_20]) ).
cnf(eq_62,plain,
divide(divide(inverse(divide(divide(inverse(D),divide(divide(divide(inverse(divide(x104,x105)),divide(divide(x103,x102),x104)),divide(x102,x103)),divide(inverse(divide(x4,D)),divide(A,x4)))),x101)),A),x105) = x101,
inference(cp,[status(thm)],[eq_54,eq_12]) ).
cnf(eq_63,plain,
multiply(divide(A,x4),divide(x4,B)) = multiply(divide(A,x104),divide(x104,B)),
inference(cp,[status(thm)],[eq_55,eq_55]) ).
cnf(eq_64,plain,
A = divide(divide(inverse(divide(divide(inverse(B),divide(C,divide(inverse(divide(D,B)),divide(x4,D)))),A)),x4),C),
inference(rw,[status(thm)],[eq_62,eq_0]) ).
cnf(eq_65,plain,
multiply(divide(A,B),divide(B,C)) = multiply(divide(A,D),divide(D,C)),
eq_63 ).
cnf(eq_66,negated_conjecture,
divide(divide(divide(divide(divide(a3,inverse(divide(b3,inverse(c3)))),divide(inverse(divide(x4,D)),divide(A,x4))),inverse(D)),x102),inverse(divide(x102,A))) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_54,eq_61]) ).
cnf(eq_67,negated_conjecture,
multiply(divide(multiply(divide(multiply(a3,multiply(b3,c3)),divide(inverse(divide(A,B)),divide(C,A))),B),D),divide(D,C)) != multiply(multiply(a3,b3),c3),
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_66,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_68,plain,
divide(divide(inverse(x100),divide(divide(x101,x102),divide(inverse(divide(x103,x100)),divide(divide(divide(divide(A,B),C),inverse(divide(C,D))),x103)))),divide(x102,x101)) = divide(inverse(divide(x4,D)),divide(divide(A,B),x4)),
inference(cp,[status(thm)],[eq_60,eq_8]) ).
cnf(eq_69,plain,
divide(divide(inverse(x100),divide(divide(x101,x102),divide(inverse(divide(x103,x100)),divide(divide(A,B),x103)))),divide(x102,x101)) = divide(inverse(divide(x4,divide(divide(B,A),divide(D,C)))),divide(divide(C,D),x4)),
inference(cp,[status(thm)],[eq_59,eq_8]) ).
cnf(eq_70,plain,
divide(inverse(divide(A,B)),divide(divide(C,D),A)) = divide(inverse(divide(x4,B)),divide(divide(C,D),x4)),
inference(rw,[status(thm)],[eq_68,eq_8]) ).
cnf(eq_71,plain,
divide(A,B) = divide(inverse(divide(C,divide(divide(A,B),divide(D,x4)))),divide(divide(x4,D),C)),
inference(rw,[status(thm)],[eq_69,eq_8]) ).
cnf(eq_72,plain,
divide(divide(inverse(divide(A,B)),divide(B,A)),divide(D,x4)) = divide(x4,D),
inference(cp,[status(thm)],[eq_8,eq_64]) ).
cnf(eq_73,plain,
divide(inverse(divide(x100,divide(A,divide(x103,x104)))),divide(divide(x104,x103),x100)) = divide(divide(inverse(divide(inverse(B),A)),multiply(multiply(C,D),B)),divide(inverse(D),C)),
inference(cp,[status(thm)],[eq_31,eq_71]) ).
cnf(eq_74,plain,
multiply(multiply(A,B),divide(inverse(B),x102)) = multiply(divide(A,x103),divide(x103,x102)),
inference(cp,[status(thm)],[eq_1,eq_65]) ).
cnf(eq_75,plain,
A = divide(inverse(divide(B,divide(A,divide(C,D)))),divide(divide(D,C),B)),
inference(rw,[status(thm)],[eq_73,eq_31]) ).
cnf(eq_76,plain,
multiply(divide(A,B),divide(B,C)) = multiply(multiply(A,D),divide(inverse(D),C)),
eq_74 ).
cnf(eq_77,plain,
divide(A,B) = divide(divide(inverse(divide(C,D)),divide(D,C)),divide(B,A)),
eq_72 ).
cnf(eq_78,plain,
divide(divide(inverse(x100),x101),divide(divide(divide(divide(divide(divide(inverse(divide(C,D)),divide(D,C)),divide(B,A)),x104),inverse(divide(x104,x100))),x105),inverse(divide(x105,x101)))) = divide(B,A),
inference(cp,[status(thm)],[eq_77,eq_17]) ).
cnf(eq_79,plain,
divide(inverse(divide(x100,A)),divide(divide(B,divide(D,C)),x100)) = inverse(divide(B,divide(A,divide(C,D)))),
inference(cp,[status(thm)],[eq_75,eq_75]) ).
cnf(eq_80,plain,
divide(divide(inverse(divide(A,divide(C,D))),divide(divide(C,D),A)),divide(x102,x103)) = divide(x103,x102),
inference(cp,[status(thm)],[eq_70,eq_77]) ).
cnf(eq_81,plain,
divide(A,B) = divide(divide(A,B),divide(inverse(divide(C,D)),divide(D,C))),
inference(rw,[status(thm)],[eq_78,eq_17]) ).
cnf(eq_82,plain,
divide(A,B) = divide(divide(inverse(divide(C,divide(D,x4))),divide(divide(D,x4),C)),divide(B,A)),
eq_80 ).
cnf(eq_83,plain,
divide(inverse(divide(A,B)),divide(divide(C,divide(D,x4)),A)) = inverse(divide(C,divide(B,divide(x4,D)))),
eq_79 ).
cnf(eq_84,plain,
divide(divide(B,A),divide(inverse(D),divide(A,B))) = D,
inference(cp,[status(thm)],[eq_81,eq_54]) ).
cnf(eq_85,plain,
divide(inverse(divide(divide(x102,x103),B)),divide(divide(x103,x102),divide(inverse(divide(C,divide(D,x4))),divide(divide(D,x4),C)))) = B,
inference(cp,[status(thm)],[eq_82,eq_75]) ).
cnf(eq_86,plain,
divide(A,divide(inverse(divide(x102,x103)),divide(x103,x102))) = divide(divide(inverse(divide(inverse(B),A)),multiply(multiply(inverse(C),D),B)),multiply(inverse(D),C)),
inference(cp,[status(thm)],[eq_35,eq_81]) ).
cnf(eq_87,plain,
divide(inverse(divide(divide(B,A),x101)),divide(A,B)) = inverse(divide(inverse(divide(C,divide(D,x4))),divide(x101,divide(C,divide(D,x4))))),
inference(cp,[status(thm)],[eq_82,eq_83]) ).
cnf(eq_88,plain,
multiply(multiply(x100,x101),multiply(inverse(x101),B)) = multiply(divide(x100,x103),divide(x103,inverse(B))),
inference(cp,[status(thm)],[eq_1,eq_76]) ).
cnf(eq_89,plain,
A = divide(A,divide(inverse(divide(B,C)),divide(C,B))),
inference(rw,[status(thm)],[eq_86,eq_35]) ).
cnf(eq_90,plain,
A = divide(divide(B,C),divide(inverse(A),divide(C,B))),
eq_84 ).
cnf(eq_91,plain,
multiply(divide(A,B),multiply(B,C)) = multiply(multiply(A,D),multiply(inverse(D),C)),
inference(rw,[status(thm)],[eq_88,eq_1]) ).
cnf(eq_92,plain,
divide(divide(C,B),divide(inverse(x102),divide(B,x102))) = C,
inference(cp,[status(thm)],[eq_90,eq_54]) ).
cnf(eq_93,plain,
divide(divide(inverse(x100),divide(B,x100)),divide(divide(x104,x105),B)) = divide(x105,x104),
inference(cp,[status(thm)],[eq_90,eq_8]) ).
cnf(eq_94,plain,
divide(inverse(A),divide(divide(B,C),A)) = inverse(divide(B,C)),
inference(cp,[status(thm)],[eq_89,eq_75]) ).
cnf(eq_95,plain,
divide(inverse(A),divide(divide(B,C),divide(B,C))) = inverse(A),
inference(cp,[status(thm)],[eq_90,eq_75]) ).
cnf(eq_96,plain,
A = divide(inverse(divide(divide(B,C),A)),divide(C,B)),
inference(rw,[status(thm)],[eq_85,eq_89]) ).
cnf(eq_97,plain,
A = divide(divide(A,B),divide(inverse(C),divide(B,C))),
eq_92 ).
cnf(eq_98,plain,
divide(inverse(x100),divide(A,x100)) = inverse(divide(A,divide(inverse(divide(B,C)),divide(C,B)))),
inference(cp,[status(thm)],[eq_89,eq_94]) ).
cnf(eq_99,plain,
divide(inverse(x100),divide(A,divide(multiply(multiply(multiply(divide(A,B),divide(B,C)),D),multiply(inverse(D),x4)),multiply(inverse(C),x4)))) = inverse(x100),
inference(cp,[status(thm)],[eq_56,eq_95]) ).
cnf(eq_100,plain,
divide(inverse(x100),divide(inverse(x4),divide(multiply(inverse(multiply(multiply(divide(divide(A,B),C),divide(C,D)),x4)),x5),multiply(D,multiply(divide(B,A),x5))))) = inverse(x100),
inference(cp,[status(thm)],[eq_41,eq_95]) ).
cnf(eq_101,plain,
divide(inverse(A),divide(B,A)) = inverse(B),
inference(rw,[status(thm)],[eq_98,eq_89]) ).
cnf(eq_102,plain,
divide(inverse(A),divide(B,B)) = inverse(A),
inference(rw,[status(thm)],[eq_99,eq_56]) ).
cnf(eq_103,plain,
divide(inverse(A),multiply(inverse(B),B)) = inverse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_41]),eq_1]) ).
cnf(eq_104,plain,
divide(x100,divide(inverse(inverse(A)),divide(divide(B,B),inverse(A)))) = x100,
inference(cp,[status(thm)],[eq_102,eq_89]) ).
cnf(eq_105,plain,
divide(divide(B,B),inverse(A)) = A,
inference(cp,[status(thm)],[eq_102,eq_90]) ).
cnf(eq_106,plain,
A = inverse(divide(divide(B,B),A)),
inference(cp,[status(thm)],[eq_96,eq_102]) ).
cnf(eq_107,plain,
divide(A,B) = inverse(divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_101]),eq_101]) ).
cnf(eq_108,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_96]),eq_101]) ).
cnf(eq_109,plain,
A = divide(A,inverse(divide(B,B))),
inference(rw,[status(thm)],[eq_104,eq_101]) ).
cnf(eq_110,plain,
A = divide(divide(B,B),inverse(A)),
eq_105 ).
cnf(eq_111,plain,
A = multiply(divide(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_101]),eq_1]) ).
cnf(eq_112,plain,
A = multiply(divide(B,B),A),
inference(rw,[status(thm)],[eq_110,eq_1]) ).
cnf(eq_113,plain,
divide(x100,divide(inverse(inverse(A)),divide(multiply(inverse(B),B),inverse(A)))) = x100,
inference(cp,[status(thm)],[eq_103,eq_89]) ).
cnf(eq_114,plain,
divide(x100,A) = multiply(x100,inverse(A)),
inference(cp,[status(thm)],[eq_108,eq_1]) ).
cnf(eq_115,plain,
divide(A,divide(x101,inverse(A))) = inverse(x101),
inference(cp,[status(thm)],[eq_108,eq_101]) ).
cnf(eq_116,plain,
divide(A,divide(B,B)) = A,
inference(cp,[status(thm)],[eq_106,eq_96]) ).
cnf(eq_117,plain,
inverse(A) = divide(divide(B,B),A),
inference(cp,[status(thm)],[eq_106,eq_108]) ).
cnf(eq_118,plain,
divide(divide(A,A),B) = inverse(B),
eq_117 ).
cnf(eq_119,plain,
divide(A,B) = multiply(A,inverse(B)),
eq_114 ).
cnf(eq_120,plain,
divide(A,multiply(B,A)) = inverse(B),
inference(rw,[status(thm)],[eq_115,eq_1]) ).
cnf(eq_121,plain,
divide(A,divide(B,inverse(A))) = inverse(B),
inference(rw,[status(thm)],[eq_120,eq_1]) ).
cnf(eq_122,plain,
inverse(divide(x101,x101)) = divide(A,A),
inference(cp,[status(thm)],[eq_118,eq_116]) ).
cnf(eq_123,plain,
divide(A,A) = divide(B,B),
inference(rw,[status(thm)],[eq_122,eq_107]) ).
cnf(eq_124,plain,
multiply(multiply(A,B),inverse(B)) = A,
inference(cp,[status(thm)],[eq_1,eq_111]) ).
cnf(eq_125,plain,
multiply(inverse(B),multiply(B,A)) = A,
inference(cp,[status(thm)],[eq_120,eq_111]) ).
cnf(eq_126,plain,
multiply(divide(B,B),multiply(A,x102)) = multiply(multiply(A,x103),multiply(inverse(x103),x102)),
inference(cp,[status(thm)],[eq_123,eq_91]) ).
cnf(eq_127,plain,
multiply(A,B) = multiply(multiply(A,C),multiply(inverse(C),B)),
inference(rw,[status(thm)],[eq_126,eq_112]) ).
cnf(eq_128,plain,
A = multiply(A,multiply(inverse(B),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_113,eq_108]),eq_1]),eq_120]),eq_1]) ).
cnf(eq_129,plain,
inverse(A) = multiply(B,inverse(multiply(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_121,eq_119]),eq_108]),eq_119]) ).
cnf(eq_130,plain,
A = multiply(A,multiply(B,inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_109,eq_119]),eq_119]),eq_108]) ).
cnf(eq_131,plain,
multiply(inverse(B),inverse(A)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_124,eq_129]) ).
cnf(eq_132,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
eq_131 ).
cnf(eq_133,negated_conjecture,
multiply(multiply(multiply(multiply(multiply(a3,multiply(b3,c3)),multiply(multiply(A,inverse(B)),multiply(B,inverse(C)))),C),inverse(D)),multiply(D,inverse(A))) != multiply(multiply(a3,b3),c3),
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_67,eq_119]),eq_119]),eq_119]),eq_132]),eq_108]),eq_119]),eq_132]),eq_108]),eq_119]),eq_132]),eq_132]),eq_132]),eq_108]),eq_108]),eq_119]) ).
cnf(eq_134,plain,
multiply(A,multiply(inverse(inverse(B)),x102)) = multiply(multiply(A,B),x102),
inference(cp,[status(thm)],[eq_124,eq_127]) ).
cnf(eq_135,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_134,eq_108]) ).
cnf(eq_136,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
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_133,eq_135]),eq_125]),eq_135]),eq_135]),eq_135]),eq_135]),eq_135]),eq_135]),eq_128]),eq_135]),eq_135]),eq_135]),eq_135]),eq_135]),eq_135]),eq_135]),eq_125]),eq_130]),eq_135]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP474-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n021.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 04:04:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 40.11/40.30 % SZS status Unsatisfiable
% 40.11/40.30 % SZS output start CNFRefutation for /tmp/MaedMax_27425
% See solution above
% 40.11/40.30
%------------------------------------------------------------------------------