TSTP Solution File: GRP477-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP477-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n025.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 15.85s 16.04s
% Output : CNFRefutation 15.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 3
% Syntax : Number of clauses : 150 ( 150 unt; 0 nHn; 10 RR)
% Number of literals : 150 ( 149 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 409 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(inverse(divide(divide(divide(B,C),D),divide(A,D))),divide(C,B)),
file('/tmp/MaedMax_18455') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_18455') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_18455') ).
cnf(eq_3,plain,
divide(inverse(divide(divide(A,x102),divide(x103,x102))),divide(divide(C,B),inverse(divide(divide(divide(B,C),D),divide(A,D))))) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
divide(inverse(divide(divide(divide(x100,x101),divide(C,B)),A)),divide(x101,x100)) = inverse(divide(divide(divide(B,C),D),divide(A,D))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
divide(inverse(divide(divide(divide(x100,x101),inverse(B)),multiply(A,B))),divide(x101,x100)) = A,
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
divide(inverse(divide(divide(divide(divide(C,B),inverse(divide(divide(divide(B,C),D),divide(A,D)))),x102),divide(x103,x102))),A) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
A = divide(inverse(divide(divide(multiply(divide(B,C),divide(divide(divide(C,B),D),divide(x4,D))),x5),divide(A,x5))),x4),
inference(rw,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_8,plain,
A = divide(inverse(divide(multiply(divide(B,C),D),multiply(A,D))),divide(C,B)),
inference(rw,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_9,plain,
divide(inverse(divide(divide(divide(A,B),divide(C,D)),x4)),divide(B,A)) = inverse(divide(divide(divide(D,C),x5),divide(x4,x5))),
eq_4 ).
cnf(eq_10,plain,
A = divide(inverse(divide(divide(B,C),divide(A,C))),multiply(divide(D,x4),divide(divide(divide(x4,D),x5),divide(B,x5)))),
inference(rw,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_11,plain,
A = divide(inverse(divide(divide(divide(divide(B,C),inverse(divide(divide(divide(C,B),D),divide(x4,D)))),x5),divide(A,x5))),x4),
inference(rw,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_12,plain,
A = divide(inverse(divide(divide(B,C),divide(A,C))),divide(divide(D,x4),inverse(divide(divide(divide(x4,D),x5),divide(B,x5))))),
inference(rw,[status(thm)],[eq_10,eq_1]) ).
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(divide(divide(divide(A,B),divide(C,D)),x4)),divide(B,A)),divide(C,D)) = x4,
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_15,plain,
inverse(divide(divide(divide(D,C),x5),divide(x4,x5))) = inverse(divide(divide(divide(D,C),x105),divide(x4,x105))),
inference(cp,[status(thm)],[eq_9,eq_9]) ).
cnf(eq_16,plain,
A = inverse(divide(divide(divide(x103,x102),x105),divide(divide(A,divide(x102,x103)),x105))),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_17,plain,
A = inverse(divide(divide(divide(B,C),D),divide(divide(A,divide(C,B)),D))),
eq_16 ).
cnf(eq_18,plain,
inverse(divide(divide(divide(A,B),C),divide(D,C))) = inverse(divide(divide(divide(A,B),x4),divide(D,x4))),
eq_15 ).
cnf(eq_19,plain,
A = divide(divide(inverse(divide(divide(divide(B,C),divide(D,x4)),A)),divide(C,B)),divide(D,x4)),
eq_14 ).
cnf(eq_20,plain,
divide(divide(inverse(divide(divide(divide(x100,x101),A),x104)),divide(x101,x100)),divide(inverse(divide(multiply(divide(B,C),D),multiply(A,D))),divide(C,B))) = x104,
inference(cp,[status(thm)],[eq_8,eq_19]) ).
cnf(eq_21,plain,
divide(inverse(divide(multiply(multiply(A,B),x102),multiply(x103,x102))),divide(inverse(B),A)) = x103,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_22,plain,
inverse(divide(multiply(divide(x100,x101),B),divide(divide(x103,divide(x101,x100)),inverse(B)))) = x103,
inference(cp,[status(thm)],[eq_1,eq_17]) ).
cnf(eq_23,plain,
inverse(divide(divide(A,x102),divide(x103,x102))) = inverse(divide(divide(divide(inverse(divide(multiply(divide(B,C),D),multiply(A,D))),divide(C,B)),x104),divide(x103,x104))),
inference(cp,[status(thm)],[eq_8,eq_18]) ).
cnf(eq_24,plain,
A = divide(divide(inverse(divide(divide(divide(B,C),D),A)),divide(C,B)),D),
inference(rw,[status(thm)],[eq_20,eq_8]) ).
cnf(eq_25,plain,
inverse(divide(divide(A,B),divide(C,B))) = inverse(divide(divide(A,D),divide(C,D))),
inference(rw,[status(thm)],[eq_23,eq_8]) ).
cnf(eq_26,plain,
A = inverse(divide(multiply(divide(B,C),D),multiply(divide(A,divide(C,B)),D))),
inference(rw,[status(thm)],[eq_22,eq_1]) ).
cnf(eq_27,plain,
A = divide(inverse(divide(multiply(multiply(B,C),D),multiply(A,D))),divide(inverse(C),B)),
eq_21 ).
cnf(eq_28,plain,
divide(A,divide(divide(x103,x104),inverse(divide(divide(divide(x104,x103),x105),divide(divide(B,C),x105))))) = divide(A,divide(C,B)),
inference(cp,[status(thm)],[eq_17,eq_12]) ).
cnf(eq_29,plain,
inverse(divide(divide(A,x102),divide(divide(x103,divide(D,divide(inverse(divide(divide(divide(B,C),D),A)),divide(C,B)))),x102))) = x103,
inference(cp,[status(thm)],[eq_24,eq_17]) ).
cnf(eq_30,plain,
divide(divide(inverse(divide(A,x103)),divide(divide(C,B),inverse(divide(divide(divide(B,C),D),A)))),D) = x103,
inference(cp,[status(thm)],[eq_24,eq_24]) ).
cnf(eq_31,plain,
inverse(A) = inverse(divide(divide(inverse(divide(divide(divide(B,C),divide(D,divide(C,B))),A)),x103),divide(D,x103))),
inference(cp,[status(thm)],[eq_19,eq_25]) ).
cnf(eq_32,plain,
A = inverse(divide(divide(B,C),divide(divide(A,divide(D,divide(inverse(divide(divide(divide(x4,x5),D),B)),divide(x5,x4)))),C))),
eq_29 ).
cnf(eq_33,plain,
inverse(A) = inverse(divide(divide(inverse(divide(divide(divide(B,C),divide(D,divide(C,B))),A)),x4),divide(D,x4))),
eq_31 ).
cnf(eq_34,plain,
divide(A,divide(B,C)) = divide(A,divide(divide(D,x4),inverse(divide(divide(divide(x4,D),x5),divide(divide(C,B),x5))))),
eq_28 ).
cnf(eq_35,plain,
A = divide(divide(inverse(divide(B,A)),divide(divide(C,D),inverse(divide(divide(divide(D,C),x4),B)))),x4),
eq_30 ).
cnf(eq_36,plain,
multiply(divide(inverse(divide(divide(divide(x100,x101),inverse(B)),x103)),divide(x101,x100)),B) = x103,
inference(cp,[status(thm)],[eq_1,eq_24]) ).
cnf(eq_37,plain,
divide(divide(inverse(multiply(divide(divide(x100,x101),x102),B)),divide(x101,x100)),x102) = inverse(B),
inference(cp,[status(thm)],[eq_1,eq_24]) ).
cnf(eq_38,plain,
divide(divide(inverse(divide(divide(multiply(A,B),x102),x103)),divide(inverse(B),A)),x102) = x103,
inference(cp,[status(thm)],[eq_1,eq_24]) ).
cnf(eq_39,plain,
inverse(divide(divide(x100,inverse(B)),multiply(A,B))) = inverse(divide(divide(x100,x103),divide(A,x103))),
inference(cp,[status(thm)],[eq_1,eq_25]) ).
cnf(eq_40,plain,
divide(divide(inverse(multiply(divide(divide(A,B),C),D)),divide(B,A)),C) = inverse(D),
eq_37 ).
cnf(eq_41,plain,
A = divide(divide(inverse(divide(divide(multiply(B,C),D),A)),divide(inverse(C),B)),D),
eq_38 ).
cnf(eq_42,plain,
A = multiply(divide(inverse(divide(multiply(divide(B,C),D),A)),divide(C,B)),D),
inference(rw,[status(thm)],[eq_36,eq_1]) ).
cnf(eq_43,plain,
inverse(divide(divide(A,B),divide(C,B))) = inverse(divide(multiply(A,D),multiply(C,D))),
inference(rw,[status(thm)],[eq_39,eq_1]) ).
cnf(eq_44,plain,
divide(divide(inverse(divide(A,divide(B,C))),divide(divide(x102,x103),inverse(divide(divide(divide(x103,x102),x104),A)))),x104) = divide(divide(D,x4),inverse(divide(divide(divide(x4,D),x5),divide(divide(C,B),x5)))),
inference(cp,[status(thm)],[eq_34,eq_35]) ).
cnf(eq_45,plain,
inverse(divide(divide(inverse(divide(divide(divide(inverse(divide(divide(divide(x4,D),x5),divide(B,x5))),divide(D,x4)),A),x103)),x104),divide(inverse(divide(divide(B,C),divide(A,C))),x104))) = inverse(x103),
inference(cp,[status(thm)],[eq_12,eq_33]) ).
cnf(eq_46,plain,
divide(A,B) = divide(divide(C,D),inverse(divide(divide(divide(D,C),x4),divide(divide(B,A),x4)))),
inference(rw,[status(thm)],[eq_44,eq_35]) ).
cnf(eq_47,plain,
inverse(A) = inverse(divide(divide(inverse(divide(divide(B,C),A)),D),divide(inverse(divide(divide(B,x4),divide(C,x4))),D))),
inference(rw,[status(thm)],[eq_45,eq_0]) ).
cnf(eq_48,plain,
inverse(D) = multiply(divide(inverse(multiply(divide(divide(A,B),inverse(x101)),D)),divide(B,A)),x101),
inference(cp,[status(thm)],[eq_40,eq_1]) ).
cnf(eq_49,plain,
divide(divide(inverse(multiply(divide(multiply(A,B),x102),x103)),divide(inverse(B),A)),x102) = inverse(x103),
inference(cp,[status(thm)],[eq_1,eq_40]) ).
cnf(eq_50,plain,
inverse(A) = multiply(divide(inverse(multiply(multiply(divide(B,C),D),A)),divide(C,B)),D),
inference(rw,[status(thm)],[eq_48,eq_1]) ).
cnf(eq_51,plain,
divide(divide(inverse(multiply(divide(multiply(A,B),C),D)),divide(inverse(B),A)),C) = inverse(D),
eq_49 ).
cnf(eq_52,plain,
divide(divide(C,D),divide(inverse(divide(divide(divide(A,B),divide(C,D)),divide(x103,x104))),divide(B,A))) = divide(x104,x103),
inference(cp,[status(thm)],[eq_9,eq_46]) ).
cnf(eq_53,plain,
divide(inverse(divide(divide(A,B),divide(x105,inverse(divide(divide(divide(inverse(divide(divide(divide(x101,x100),x102),divide(x103,x102))),divide(x100,x101)),x4),divide(divide(B,A),x4)))))),x103) = x105,
inference(cp,[status(thm)],[eq_46,eq_11]) ).
cnf(eq_54,plain,
divide(A,B) = divide(divide(C,D),divide(inverse(divide(divide(divide(x4,x5),divide(C,D)),divide(B,A))),divide(x5,x4))),
eq_52 ).
cnf(eq_55,plain,
A = divide(inverse(divide(divide(B,C),divide(A,inverse(divide(divide(D,x4),divide(divide(C,B),x4)))))),D),
inference(rw,[status(thm)],[eq_53,eq_0]) ).
cnf(eq_56,plain,
divide(divide(divide(inverse(divide(divide(multiply(B,C),D),A)),divide(inverse(C),B)),D),divide(inverse(divide(divide(divide(x102,x103),A),divide(x104,x105))),divide(x103,x102))) = divide(x105,x104),
inference(cp,[status(thm)],[eq_41,eq_54]) ).
cnf(eq_57,plain,
divide(A,B) = divide(C,divide(inverse(divide(divide(divide(D,x4),C),divide(B,A))),divide(x4,D))),
inference(rw,[status(thm)],[eq_56,eq_41]) ).
cnf(eq_58,plain,
divide(inverse(divide(divide(A,B),divide(A,B))),divide(D,C)) = divide(C,D),
inference(cp,[status(thm)],[eq_46,eq_55]) ).
cnf(eq_59,plain,
divide(A,B) = divide(inverse(divide(divide(C,D),divide(C,D))),divide(B,A)),
eq_58 ).
cnf(eq_60,plain,
divide(x100,divide(inverse(divide(divide(divide(x101,x102),x100),divide(A,B))),divide(x102,x101))) = divide(divide(B,A),inverse(divide(divide(C,D),divide(C,D)))),
inference(cp,[status(thm)],[eq_59,eq_57]) ).
cnf(eq_61,plain,
inverse(divide(divide(x100,x101),divide(divide(divide(inverse(divide(divide(divide(x104,x105),B),x100)),divide(x105,x104)),B),x101))) = inverse(divide(divide(C,D),divide(C,D))),
inference(cp,[status(thm)],[eq_59,eq_32]) ).
cnf(eq_62,plain,
divide(inverse(divide(divide(inverse(divide(multiply(multiply(B,C),D),multiply(A,D))),divide(inverse(C),B)),A)),divide(x102,x103)) = divide(x103,x102),
inference(cp,[status(thm)],[eq_27,eq_59]) ).
cnf(eq_63,plain,
divide(A,B) = divide(inverse(divide(C,C)),divide(B,A)),
inference(rw,[status(thm)],[eq_62,eq_27]) ).
cnf(eq_64,plain,
inverse(divide(divide(A,B),divide(A,B))) = inverse(divide(divide(C,D),divide(C,D))),
inference(rw,[status(thm)],[eq_61,eq_24]) ).
cnf(eq_65,plain,
divide(A,B) = multiply(divide(A,B),divide(divide(C,D),divide(C,D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_57]),eq_1]) ).
cnf(eq_66,negated_conjecture,
divide(inverse(divide(divide(C,D),divide(C,D))),divide(inverse(divide(b3,inverse(c3))),a3)) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_59,eq_13]) ).
cnf(eq_67,negated_conjecture,
divide(inverse(divide(divide(A,B),divide(A,B))),divide(inverse(multiply(b3,c3)),a3)) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_1]),eq_1]),eq_1]) ).
cnf(eq_68,plain,
inverse(divide(x4,x4)) = inverse(divide(divide(x102,x103),divide(x102,x103))),
inference(cp,[status(thm)],[eq_47,eq_64]) ).
cnf(eq_69,plain,
multiply(A,divide(divide(x102,x103),divide(x102,x103))) = divide(divide(inverse(divide(divide(multiply(B,C),D),A)),divide(inverse(C),B)),D),
inference(cp,[status(thm)],[eq_41,eq_65]) ).
cnf(eq_70,plain,
multiply(divide(x100,x101),divide(divide(inverse(divide(multiply(multiply(B,C),D),multiply(A,D))),divide(inverse(C),B)),A)) = divide(x100,x101),
inference(cp,[status(thm)],[eq_27,eq_65]) ).
cnf(eq_71,plain,
multiply(divide(x100,x101),divide(divide(divide(inverse(multiply(divide(multiply(A,B),C),D)),divide(inverse(B),A)),C),inverse(D))) = divide(x100,x101),
inference(cp,[status(thm)],[eq_51,eq_65]) ).
cnf(eq_72,plain,
inverse(divide(A,A)) = inverse(divide(divide(B,C),divide(B,C))),
eq_68 ).
cnf(eq_73,plain,
A = multiply(A,divide(divide(B,C),divide(B,C))),
inference(rw,[status(thm)],[eq_69,eq_41]) ).
cnf(eq_74,plain,
divide(A,B) = multiply(divide(A,B),divide(C,C)),
inference(rw,[status(thm)],[eq_70,eq_27]) ).
cnf(eq_75,plain,
divide(A,B) = multiply(divide(A,B),multiply(inverse(C),C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_51]),eq_1]) ).
cnf(eq_76,plain,
inverse(divide(A,divide(inverse(divide(divide(divide(B,C),D),divide(A,D))),divide(C,B)))) = inverse(divide(x102,x102)),
inference(cp,[status(thm)],[eq_0,eq_72]) ).
cnf(eq_77,plain,
inverse(divide(A,A)) = inverse(divide(B,B)),
inference(rw,[status(thm)],[eq_76,eq_0]) ).
cnf(eq_78,plain,
divide(divide(inverse(divide(divide(x100,x101),B)),divide(x101,x100)),B) = inverse(divide(C,C)),
inference(cp,[status(thm)],[eq_74,eq_40]) ).
cnf(eq_79,plain,
inverse(divide(multiply(divide(x100,x101),multiply(inverse(C),C)),divide(A,divide(x101,x100)))) = A,
inference(cp,[status(thm)],[eq_75,eq_26]) ).
cnf(eq_80,plain,
multiply(x100,divide(A,divide(divide(inverse(divide(divide(multiply(B,C),D),A)),divide(inverse(C),B)),D))) = x100,
inference(cp,[status(thm)],[eq_41,eq_73]) ).
cnf(eq_81,plain,
multiply(A,multiply(inverse(x102),x102)) = divide(divide(inverse(divide(divide(multiply(B,C),D),A)),divide(inverse(C),B)),D),
inference(cp,[status(thm)],[eq_41,eq_75]) ).
cnf(eq_82,plain,
divide(inverse(divide(multiply(divide(x100,x101),divide(C,C)),x103)),divide(x101,x100)) = x103,
inference(cp,[status(thm)],[eq_74,eq_42]) ).
cnf(eq_83,plain,
inverse(multiply(inverse(B),B)) = inverse(divide(x101,x101)),
inference(cp,[status(thm)],[eq_1,eq_77]) ).
cnf(eq_84,plain,
inverse(divide(multiply(x100,divide(divide(B,C),divide(B,C))),A)) = inverse(divide(divide(x100,x103),divide(A,x103))),
inference(cp,[status(thm)],[eq_73,eq_43]) ).
cnf(eq_85,plain,
inverse(divide(A,B)) = inverse(divide(divide(A,C),divide(B,C))),
inference(rw,[status(thm)],[eq_84,eq_73]) ).
cnf(eq_86,plain,
A = multiply(A,divide(B,B)),
inference(rw,[status(thm)],[eq_80,eq_41]) ).
cnf(eq_87,plain,
A = divide(inverse(divide(divide(B,C),A)),divide(C,B)),
inference(rw,[status(thm)],[eq_82,eq_74]) ).
cnf(eq_88,plain,
A = multiply(A,multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_81,eq_41]) ).
cnf(eq_89,plain,
inverse(divide(A,A)) = inverse(multiply(inverse(B),B)),
eq_83 ).
cnf(eq_90,plain,
divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),C) = inverse(divide(D,D)),
eq_78 ).
cnf(eq_91,plain,
A = inverse(divide(divide(B,C),divide(A,divide(C,B)))),
inference(rw,[status(thm)],[eq_79,eq_75]) ).
cnf(eq_92,plain,
inverse(inverse(multiply(inverse(B),B))) = inverse(divide(x101,x101)),
inference(cp,[status(thm)],[eq_88,eq_89]) ).
cnf(eq_93,plain,
inverse(divide(A,A)) = inverse(inverse(multiply(inverse(B),B))),
eq_92 ).
cnf(eq_94,plain,
A = divide(A,inverse(divide(B,B))),
inference(rw,[status(thm)],[eq_86,eq_1]) ).
cnf(eq_95,plain,
A = divide(A,inverse(divide(inverse(B),inverse(B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_1]),eq_1]) ).
cnf(eq_96,plain,
inverse(divide(divide(A,B),divide(x102,divide(B,A)))) = inverse(divide(inverse(divide(C,C)),x102)),
inference(cp,[status(thm)],[eq_63,eq_85]) ).
cnf(eq_97,plain,
divide(A,A) = inverse(divide(B,B)),
inference(rw,[status(thm)],[eq_90,eq_87]) ).
cnf(eq_98,plain,
A = inverse(divide(inverse(divide(B,B)),A)),
inference(rw,[status(thm)],[eq_96,eq_91]) ).
cnf(eq_99,plain,
divide(x100,divide(A,A)) = x100,
inference(cp,[status(thm)],[eq_97,eq_94]) ).
cnf(eq_100,plain,
divide(divide(A,A),divide(x101,x100)) = divide(x100,x101),
inference(cp,[status(thm)],[eq_97,eq_87]) ).
cnf(eq_101,plain,
inverse(divide(B,C)) = divide(C,B),
inference(cp,[status(thm)],[eq_87,eq_98]) ).
cnf(eq_102,plain,
divide(A,B) = inverse(divide(B,A)),
eq_101 ).
cnf(eq_103,plain,
divide(A,B) = divide(divide(C,C),divide(B,A)),
eq_100 ).
cnf(eq_104,plain,
A = divide(A,divide(B,B)),
eq_99 ).
cnf(eq_105,plain,
divide(A,A) = divide(inverse(B),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_102]),eq_1]),eq_102]),eq_102]) ).
cnf(eq_106,plain,
A = divide(divide(A,divide(B,C)),divide(C,B)),
inference(rw,[status(thm)],[eq_91,eq_102]) ).
cnf(eq_107,negated_conjecture,
divide(divide(divide(A,B),divide(A,B)),divide(divide(inverse(c3),b3),a3)) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_102]),eq_1]),eq_102]),eq_1]),eq_1]) ).
cnf(eq_108,plain,
inverse(A) = divide(divide(B,B),A),
inference(cp,[status(thm)],[eq_104,eq_102]) ).
cnf(eq_109,plain,
divide(divide(A,A),B) = inverse(B),
eq_108 ).
cnf(eq_110,plain,
A = divide(A,divide(inverse(B),inverse(B))),
inference(rw,[status(thm)],[eq_95,eq_102]) ).
cnf(eq_111,plain,
inverse(inverse(B)) = divide(B,divide(A,A)),
inference(cp,[status(thm)],[eq_109,eq_102]) ).
cnf(eq_112,plain,
divide(divide(x100,x100),inverse(B)) = divide(B,divide(A,A)),
inference(cp,[status(thm)],[eq_109,eq_103]) ).
cnf(eq_113,plain,
divide(A,divide(B,B)) = inverse(inverse(A)),
eq_111 ).
cnf(eq_114,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_113,eq_104]) ).
cnf(eq_115,plain,
A = divide(A,multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_110,eq_1]) ).
cnf(eq_116,plain,
divide(A,A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_105,eq_1]) ).
cnf(eq_117,plain,
divide(divide(x100,inverse(B)),divide(B,divide(A,A))) = x100,
inference(cp,[status(thm)],[eq_109,eq_106]) ).
cnf(eq_118,plain,
divide(divide(x100,divide(B,divide(A,A))),inverse(B)) = x100,
inference(cp,[status(thm)],[eq_109,eq_106]) ).
cnf(eq_119,plain,
A = multiply(divide(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_104]),eq_1]) ).
cnf(eq_120,plain,
A = multiply(divide(B,B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_112,eq_1]),eq_104]) ).
cnf(eq_121,plain,
A = divide(multiply(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_117,eq_1]),eq_104]) ).
cnf(eq_122,plain,
divide(x100,A) = multiply(x100,inverse(A)),
inference(cp,[status(thm)],[eq_114,eq_1]) ).
cnf(eq_123,plain,
inverse(A) = divide(B,multiply(A,B)),
inference(cp,[status(thm)],[eq_121,eq_102]) ).
cnf(eq_124,plain,
multiply(multiply(A,B),inverse(B)) = A,
inference(cp,[status(thm)],[eq_1,eq_119]) ).
cnf(eq_125,plain,
multiply(divide(inverse(multiply(multiply(divide(A,A),x102),x103)),multiply(inverse(B),B)),x102) = inverse(x103),
inference(cp,[status(thm)],[eq_116,eq_50]) ).
cnf(eq_126,plain,
divide(A,B) = multiply(A,inverse(B)),
eq_122 ).
cnf(eq_127,plain,
inverse(A) = multiply(inverse(multiply(B,A)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_120]),eq_115]) ).
cnf(eq_128,plain,
divide(A,multiply(B,A)) = inverse(B),
eq_123 ).
cnf(eq_129,plain,
divide(A,divide(B,inverse(A))) = inverse(B),
inference(rw,[status(thm)],[eq_128,eq_1]) ).
cnf(eq_130,plain,
inverse(A) = multiply(B,inverse(multiply(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_129,eq_126]),eq_114]),eq_126]) ).
cnf(eq_131,plain,
inverse(multiply(A,inverse(B))) = multiply(B,inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_102,eq_126]),eq_126]) ).
cnf(eq_132,negated_conjecture,
multiply(multiply(multiply(A,inverse(B)),inverse(multiply(A,inverse(B)))),inverse(multiply(multiply(inverse(c3),inverse(b3)),inverse(a3)))) != 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)],[eq_107,eq_126]),eq_126]),eq_126]),eq_126]),eq_126]),eq_126]),eq_126]),eq_114]),eq_126]),eq_114]) ).
cnf(eq_133,plain,
multiply(inverse(B),inverse(A)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_124,eq_130]) ).
cnf(eq_134,plain,
multiply(inverse(A),inverse(inverse(multiply(A,B)))) = B,
inference(cp,[status(thm)],[eq_130,eq_124]) ).
cnf(eq_135,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[eq_134,eq_114]) ).
cnf(eq_136,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
eq_133 ).
cnf(eq_137,plain,
inverse(inverse(A)) = multiply(x101,inverse(inverse(multiply(inverse(x101),A)))),
inference(cp,[status(thm)],[eq_127,eq_131]) ).
cnf(eq_138,plain,
A = multiply(B,multiply(inverse(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_137,eq_114]),eq_114]) ).
cnf(eq_139,plain,
multiply(multiply(A,inverse(B)),multiply(B,inverse(C))) = multiply(multiply(A,inverse(D)),multiply(D,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)],[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_25,eq_126]),eq_126]),eq_126]),eq_136]),eq_114]),eq_136]),eq_136]),eq_136]),eq_114]),eq_114]),eq_126]),eq_126]),eq_126]),eq_136]),eq_114]),eq_136]),eq_136]),eq_136]),eq_114]),eq_114]) ).
cnf(eq_140,negated_conjecture,
multiply(multiply(multiply(A,inverse(B)),multiply(B,inverse(A))),multiply(a3,multiply(b3,c3))) != 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)],[eq_132,eq_136]),eq_136]),eq_114]),eq_114]),eq_136]),eq_114]),eq_114]) ).
cnf(eq_141,plain,
multiply(multiply(x100,inverse(x101)),multiply(x101,A)) = multiply(multiply(x100,inverse(x103)),multiply(x103,inverse(inverse(A)))),
inference(cp,[status(thm)],[eq_114,eq_139]) ).
cnf(eq_142,plain,
multiply(multiply(A,inverse(B)),multiply(B,C)) = multiply(multiply(A,inverse(D)),multiply(D,C)),
inference(rw,[status(thm)],[eq_141,eq_114]) ).
cnf(eq_143,plain,
multiply(x100,inverse(inverse(B))) = multiply(multiply(x100,inverse(x103)),multiply(x103,B)),
inference(cp,[status(thm)],[eq_88,eq_142]) ).
cnf(eq_144,plain,
multiply(multiply(x100,inverse(inverse(B))),A) = multiply(multiply(x100,inverse(x103)),multiply(x103,multiply(B,A))),
inference(cp,[status(thm)],[eq_135,eq_142]) ).
cnf(eq_145,plain,
multiply(A,B) = multiply(multiply(A,inverse(C)),multiply(C,B)),
inference(rw,[status(thm)],[eq_143,eq_114]) ).
cnf(eq_146,plain,
multiply(multiply(A,B),C) = multiply(multiply(A,inverse(D)),multiply(D,multiply(B,C))),
inference(rw,[status(thm)],[eq_144,eq_114]) ).
cnf(eq_147,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_146,eq_145]) ).
cnf(eq_148,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)],[eq_140,eq_147]),eq_135]),eq_147]),eq_138]),eq_147]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP477-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n025.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 04:26:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 15.85/16.04 % SZS status Unsatisfiable
% 15.85/16.04 % SZS output start CNFRefutation for /tmp/MaedMax_18455
% See solution above
% 15.85/16.04
%------------------------------------------------------------------------------