TSTP Solution File: GRP504-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP504-1 : TPTP v8.1.0. Released v2.6.0.
% 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 07:02:50 EDT 2022
% Result : Unsatisfiable 23.98s 24.18s
% Output : CNFRefutation 23.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 3
% Syntax : Number of clauses : 122 ( 122 unt; 0 nHn; 12 RR)
% Number of literals : 122 ( 121 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 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 : 351 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,inverse(double_divide(C,A))),double_divide(inverse(C),inverse(double_divide(D,double_divide(B,D))))),
file('/tmp/MaedMax_20103') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_20103') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_20103') ).
cnf(eq_3,plain,
A = double_divide(double_divide(B,multiply(A,C)),double_divide(inverse(C),multiply(double_divide(B,D),D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_1]),eq_1]) ).
cnf(eq_4,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
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_5,plain,
double_divide(double_divide(x100,inverse(A)),double_divide(inverse(double_divide(B,inverse(double_divide(C,A)))),inverse(double_divide(x103,double_divide(x100,x103))))) = double_divide(inverse(C),inverse(double_divide(D,double_divide(B,D)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
double_divide(double_divide(double_divide(B,inverse(double_divide(C,A))),inverse(double_divide(x101,x102))),double_divide(inverse(x101),inverse(double_divide(double_divide(inverse(C),inverse(double_divide(D,double_divide(B,D)))),A)))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
double_divide(double_divide(A,inverse(B)),double_divide(inverse(double_divide(C,inverse(double_divide(D,B)))),inverse(double_divide(x4,double_divide(A,x4))))) = double_divide(inverse(D),inverse(double_divide(x5,double_divide(C,x5)))),
eq_5 ).
cnf(eq_8,plain,
A = double_divide(double_divide(double_divide(B,inverse(double_divide(C,D))),inverse(double_divide(x4,A))),double_divide(inverse(x4),inverse(double_divide(double_divide(inverse(C),inverse(double_divide(x5,double_divide(B,x5)))),D)))),
eq_6 ).
cnf(eq_9,plain,
A = double_divide(double_divide(double_divide(B,multiply(C,D)),multiply(A,x4)),double_divide(inverse(x4),multiply(C,double_divide(inverse(D),multiply(double_divide(B,x5),x5))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_10,plain,
inverse(A) = multiply(double_divide(inverse(C),multiply(double_divide(B,D),D)),double_divide(B,multiply(A,C))),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_11,plain,
inverse(A) = multiply(double_divide(inverse(B),multiply(double_divide(C,D),D)),double_divide(C,multiply(A,B))),
eq_10 ).
cnf(eq_12,plain,
double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(double_divide(C,inverse(double_divide(D,B)))),inverse(double_divide(x4,double_divide(A,x4))))),double_divide(inverse(x5),inverse(double_divide(x103,double_divide(inverse(D),x103))))) = double_divide(C,x5),
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_13,plain,
double_divide(double_divide(C,inverse(double_divide(D,x102))),double_divide(double_divide(A,inverse(B)),double_divide(inverse(double_divide(C,inverse(double_divide(D,B)))),inverse(double_divide(x4,double_divide(A,x4)))))) = x102,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_14,plain,
double_divide(double_divide(double_divide(x100,inverse(double_divide(x101,double_divide(inverse(C),inverse(double_divide(D,double_divide(inverse(x101),D))))))),inverse(double_divide(x103,x104))),double_divide(inverse(x103),inverse(double_divide(x100,C)))) = x104,
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_15,plain,
double_divide(inverse(D),inverse(double_divide(x5,double_divide(C,x5)))) = double_divide(inverse(D),inverse(double_divide(x105,double_divide(C,x105)))),
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_16,plain,
double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(double_divide(C,inverse(double_divide(D,B)))),inverse(double_divide(x4,double_divide(A,x4))))),double_divide(inverse(double_divide(x102,inverse(double_divide(x103,double_divide(x5,double_divide(C,x5)))))),inverse(double_divide(x104,double_divide(inverse(D),x104))))) = double_divide(inverse(x103),inverse(double_divide(x105,double_divide(x102,x105)))),
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_17,plain,
A = double_divide(double_divide(double_divide(B,inverse(double_divide(C,double_divide(inverse(D),inverse(double_divide(x4,double_divide(inverse(C),x4))))))),inverse(double_divide(x5,A))),double_divide(inverse(x5),inverse(double_divide(B,D)))),
eq_14 ).
cnf(eq_18,plain,
double_divide(inverse(A),inverse(double_divide(B,double_divide(C,B)))) = double_divide(inverse(A),inverse(double_divide(D,double_divide(C,D)))),
eq_15 ).
cnf(eq_19,plain,
A = double_divide(double_divide(B,inverse(double_divide(C,A))),double_divide(double_divide(D,inverse(x4)),double_divide(inverse(double_divide(B,inverse(double_divide(C,x4)))),inverse(double_divide(x5,double_divide(D,x5)))))),
eq_13 ).
cnf(eq_20,plain,
double_divide(A,B) = double_divide(double_divide(double_divide(C,inverse(D)),double_divide(inverse(double_divide(A,inverse(double_divide(x4,D)))),inverse(double_divide(x5,double_divide(C,x5))))),double_divide(inverse(B),inverse(double_divide(x6,double_divide(inverse(x4),x6))))),
eq_12 ).
cnf(eq_21,plain,
multiply(double_divide(inverse(x100),multiply(A,double_divide(inverse(C),multiply(double_divide(B,D),D)))),double_divide(double_divide(B,multiply(A,C)),multiply(x103,x100))) = inverse(x103),
inference(cp,[status(thm)],[eq_3,eq_11]) ).
cnf(eq_22,plain,
inverse(A) = multiply(double_divide(inverse(B),multiply(C,double_divide(inverse(D),multiply(double_divide(x4,x5),x5)))),double_divide(double_divide(x4,multiply(C,D)),multiply(A,B))),
eq_21 ).
cnf(eq_23,plain,
double_divide(double_divide(x100,inverse(double_divide(x101,x102))),double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(double_divide(C,inverse(double_divide(D,B)))),inverse(double_divide(x4,double_divide(A,x4))))),double_divide(inverse(double_divide(x100,inverse(double_divide(x101,double_divide(x5,double_divide(C,x5)))))),inverse(double_divide(x105,double_divide(inverse(D),x105)))))) = x102,
inference(cp,[status(thm)],[eq_7,eq_19]) ).
cnf(eq_24,plain,
double_divide(double_divide(double_divide(x100,inverse(double_divide(x101,double_divide(inverse(x102),inverse(double_divide(x103,double_divide(inverse(x101),x103))))))),inverse(double_divide(inverse(A),inverse(double_divide(B,double_divide(C,B)))))),double_divide(inverse(inverse(A)),inverse(double_divide(x100,x102)))) = inverse(double_divide(D,double_divide(C,D))),
inference(cp,[status(thm)],[eq_18,eq_17]) ).
cnf(eq_25,plain,
A = double_divide(double_divide(B,inverse(double_divide(C,A))),double_divide(D,double_divide(B,inverse(double_divide(C,double_divide(x4,double_divide(D,x4))))))),
inference(rw,[status(thm)],[eq_23,eq_20]) ).
cnf(eq_26,plain,
double_divide(A,double_divide(B,inverse(double_divide(C,double_divide(D,double_divide(A,D)))))) = double_divide(inverse(C),inverse(double_divide(x4,double_divide(B,x4)))),
inference(rw,[status(thm)],[eq_16,eq_20]) ).
cnf(eq_27,plain,
inverse(double_divide(A,double_divide(B,A))) = inverse(double_divide(C,double_divide(B,C))),
inference(rw,[status(thm)],[eq_24,eq_17]) ).
cnf(eq_28,plain,
double_divide(double_divide(double_divide(x100,inverse(x101)),double_divide(inverse(double_divide(x102,inverse(double_divide(x103,x101)))),inverse(double_divide(x104,double_divide(x100,x104))))),double_divide(inverse(double_divide(A,double_divide(B,A))),inverse(double_divide(x106,double_divide(inverse(x103),x106))))) = double_divide(x102,double_divide(C,double_divide(B,C))),
inference(cp,[status(thm)],[eq_27,eq_20]) ).
cnf(eq_29,plain,
A = double_divide(inverse(double_divide(double_divide(B,inverse(double_divide(C,A))),B)),inverse(double_divide(x104,double_divide(inverse(C),x104)))),
inference(cp,[status(thm)],[eq_0,eq_26]) ).
cnf(eq_30,plain,
double_divide(x100,double_divide(x101,inverse(double_divide(A,double_divide(B,A))))) = double_divide(inverse(double_divide(x100,B)),inverse(double_divide(x104,double_divide(x101,x104)))),
inference(cp,[status(thm)],[eq_27,eq_26]) ).
cnf(eq_31,plain,
double_divide(double_divide(inverse(C),inverse(double_divide(double_divide(double_divide(B,inverse(double_divide(C,A))),B),x102))),A) = x102,
inference(cp,[status(thm)],[eq_0,eq_25]) ).
cnf(eq_32,plain,
double_divide(double_divide(x100,inverse(double_divide(double_divide(x103,B),x102))),double_divide(x103,double_divide(x100,inverse(double_divide(A,double_divide(B,A)))))) = x102,
inference(cp,[status(thm)],[eq_27,eq_25]) ).
cnf(eq_33,plain,
double_divide(A,double_divide(B,inverse(double_divide(C,double_divide(D,C))))) = double_divide(inverse(double_divide(A,D)),inverse(double_divide(x4,double_divide(B,x4)))),
eq_30 ).
cnf(eq_34,plain,
A = double_divide(double_divide(inverse(B),inverse(double_divide(double_divide(double_divide(C,inverse(double_divide(B,D))),C),A))),D),
eq_31 ).
cnf(eq_35,plain,
double_divide(A,double_divide(B,double_divide(C,B))) = double_divide(A,double_divide(D,double_divide(C,D))),
inference(rw,[status(thm)],[eq_28,eq_20]) ).
cnf(eq_36,plain,
A = double_divide(inverse(double_divide(double_divide(B,inverse(double_divide(C,A))),B)),inverse(double_divide(D,double_divide(inverse(C),D)))),
eq_29 ).
cnf(eq_37,plain,
A = double_divide(double_divide(B,inverse(double_divide(double_divide(C,D),A))),double_divide(C,double_divide(B,inverse(double_divide(x4,double_divide(D,x4)))))),
eq_32 ).
cnf(eq_38,plain,
A = double_divide(multiply(B,double_divide(B,multiply(A,C))),multiply(double_divide(inverse(C),D),D)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_1]),eq_1]),eq_1]) ).
cnf(eq_39,plain,
double_divide(A,double_divide(B,multiply(double_divide(C,D),D))) = double_divide(multiply(C,A),multiply(double_divide(B,x4),x4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_1]),eq_1]),eq_1]) ).
cnf(eq_40,plain,
A = double_divide(double_divide(inverse(B),multiply(A,double_divide(double_divide(C,multiply(D,B)),C))),D),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_1]),eq_1]) ).
cnf(eq_41,plain,
inverse(double_divide(A,double_divide(D,double_divide(C,D)))) = multiply(double_divide(B,double_divide(C,B)),A),
inference(cp,[status(thm)],[eq_35,eq_1]) ).
cnf(eq_42,plain,
multiply(double_divide(A,double_divide(B,A)),C) = multiply(double_divide(D,double_divide(B,D)),C),
inference(rw,[status(thm)],[eq_41,eq_1]) ).
cnf(eq_43,plain,
double_divide(double_divide(double_divide(x100,multiply(x101,x102)),multiply(double_divide(D,double_divide(B,D)),C)),double_divide(inverse(C),multiply(x101,double_divide(inverse(x102),multiply(double_divide(x100,x105),x105))))) = double_divide(A,double_divide(B,A)),
inference(cp,[status(thm)],[eq_42,eq_9]) ).
cnf(eq_44,plain,
multiply(double_divide(inverse(x100),multiply(A,double_divide(inverse(double_divide(double_divide(C,multiply(multiply(x105,x100),B)),C)),multiply(double_divide(inverse(B),x104),x104)))),A) = inverse(x105),
inference(cp,[status(thm)],[eq_40,eq_22]) ).
cnf(eq_45,plain,
double_divide(A,double_divide(B,A)) = double_divide(C,double_divide(B,C)),
inference(rw,[status(thm)],[eq_43,eq_9]) ).
cnf(eq_46,plain,
double_divide(A,double_divide(inverse(x103),inverse(double_divide(double_divide(inverse(double_divide(double_divide(C,inverse(double_divide(B,inverse(double_divide(x103,x104))))),C)),inverse(double_divide(x105,double_divide(inverse(B),x105)))),A)))) = x104,
inference(cp,[status(thm)],[eq_34,eq_8]) ).
cnf(eq_47,plain,
double_divide(double_divide(B,C),double_divide(A,double_divide(B,A))) = double_divide(x102,double_divide(C,x102)),
inference(cp,[status(thm)],[eq_45,eq_45]) ).
cnf(eq_48,plain,
double_divide(A,double_divide(B,A)) = double_divide(double_divide(C,B),double_divide(D,double_divide(C,D))),
eq_47 ).
cnf(eq_49,plain,
A = double_divide(B,double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,A)),B)))),
inference(rw,[status(thm)],[eq_46,eq_36]) ).
cnf(eq_50,plain,
double_divide(x100,double_divide(inverse(C),inverse(double_divide(inverse(double_divide(A,double_divide(B,A))),x100)))) = double_divide(B,C),
inference(cp,[status(thm)],[eq_27,eq_49]) ).
cnf(eq_51,plain,
A = double_divide(x103,double_divide(inverse(double_divide(double_divide(inverse(double_divide(x4,double_divide(D,x4))),D),A)),x103)),
inference(cp,[status(thm)],[eq_37,eq_48]) ).
cnf(eq_52,plain,
A = double_divide(B,double_divide(inverse(double_divide(double_divide(inverse(double_divide(C,double_divide(D,C))),D),A)),B)),
eq_51 ).
cnf(eq_53,plain,
double_divide(A,B) = double_divide(C,double_divide(inverse(B),inverse(double_divide(inverse(double_divide(D,double_divide(A,D))),C)))),
eq_50 ).
cnf(eq_54,plain,
double_divide(A,B) = double_divide(C,double_divide(inverse(B),multiply(C,multiply(double_divide(A,D),D)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_1]),eq_1]) ).
cnf(eq_55,plain,
A = double_divide(B,double_divide(multiply(A,double_divide(multiply(double_divide(C,D),D),C)),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_1]),eq_1]) ).
cnf(eq_56,plain,
inverse(A) = multiply(double_divide(inverse(B),multiply(C,multiply(A,B))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_1]),eq_38]) ).
cnf(eq_57,plain,
inverse(A) = multiply(double_divide(multiply(A,double_divide(multiply(double_divide(C,D),D),C)),B),B),
inference(cp,[status(thm)],[eq_55,eq_1]) ).
cnf(eq_58,plain,
double_divide(B,double_divide(C,double_divide(inverse(B),multiply(C,multiply(double_divide(multiply(x101,double_divide(multiply(double_divide(x102,x103),x103),x102)),D),D))))) = x101,
inference(cp,[status(thm)],[eq_54,eq_55]) ).
cnf(eq_59,plain,
inverse(A) = multiply(double_divide(multiply(A,double_divide(multiply(double_divide(B,C),C),B)),D),D),
eq_57 ).
cnf(eq_60,negated_conjecture,
multiply(double_divide(inverse(B),multiply(C,multiply(double_divide(inverse(double_divide(c3,b3)),a3),B))),C) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cp,[status(thm)],[eq_56,eq_4]) ).
cnf(eq_61,negated_conjecture,
multiply(double_divide(inverse(A),multiply(B,multiply(double_divide(multiply(b3,c3),a3),A))),B) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_1]),eq_1]),eq_1]) ).
cnf(eq_62,plain,
double_divide(multiply(C,multiply(double_divide(C,D),D)),multiply(double_divide(multiply(x101,double_divide(multiply(double_divide(x102,x103),x103),x102)),x4),x4)) = x101,
inference(cp,[status(thm)],[eq_39,eq_55]) ).
cnf(eq_63,plain,
A = double_divide(multiply(B,multiply(double_divide(B,C),C)),inverse(A)),
inference(rw,[status(thm)],[eq_62,eq_59]) ).
cnf(eq_64,plain,
A = double_divide(B,double_divide(C,double_divide(inverse(B),multiply(C,inverse(A))))),
inference(rw,[status(thm)],[eq_58,eq_59]) ).
cnf(eq_65,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(B,double_divide(C,B))),C)),inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_1]),eq_1]) ).
cnf(eq_66,plain,
A = double_divide(B,double_divide(C,double_divide(inverse(B),inverse(double_divide(inverse(A),C))))),
inference(rw,[status(thm)],[eq_64,eq_1]) ).
cnf(eq_67,negated_conjecture,
multiply(double_divide(inverse(x100),multiply(x101,multiply(double_divide(C,double_divide(inverse(a3),inverse(double_divide(inverse(double_divide(D,double_divide(multiply(b3,c3),D))),C)))),x100))),x101) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_53,eq_61]) ).
cnf(eq_68,negated_conjecture,
inverse(double_divide(A,double_divide(inverse(a3),inverse(double_divide(inverse(double_divide(B,double_divide(inverse(double_divide(c3,b3)),B))),A))))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
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_1]),eq_1]),eq_1]),eq_1]),eq_49]),eq_1]),eq_1]) ).
cnf(eq_69,plain,
double_divide(double_divide(inverse(double_divide(B,double_divide(C,B))),C),double_divide(x101,double_divide(inverse(x102),x101))) = x102,
inference(cp,[status(thm)],[eq_65,eq_66]) ).
cnf(eq_70,plain,
double_divide(inverse(A),double_divide(inverse(inverse(double_divide(B,double_divide(C,B)))),inverse(A))) = C,
inference(cp,[status(thm)],[eq_65,eq_49]) ).
cnf(eq_71,plain,
double_divide(double_divide(inverse(double_divide(inverse(double_divide(B,double_divide(C,B))),C)),inverse(double_divide(x101,x102))),double_divide(x103,double_divide(x101,double_divide(x104,double_divide(x103,x104))))) = x102,
inference(cp,[status(thm)],[eq_65,eq_25]) ).
cnf(eq_72,plain,
double_divide(double_divide(inverse(double_divide(inverse(double_divide(B,double_divide(C,B))),C)),inverse(double_divide(x101,x102))),double_divide(inverse(x101),inverse(double_divide(inverse(A),A)))) = x102,
inference(cp,[status(thm)],[eq_65,eq_0]) ).
cnf(eq_73,plain,
double_divide(double_divide(double_divide(x101,x102),x103),double_divide(x101,double_divide(inverse(double_divide(inverse(double_divide(B,double_divide(C,B))),C)),inverse(double_divide(x104,double_divide(x102,x104)))))) = x103,
inference(cp,[status(thm)],[eq_65,eq_37]) ).
cnf(eq_74,plain,
A = double_divide(double_divide(double_divide(B,C),A),double_divide(B,double_divide(D,double_divide(C,D)))),
inference(rw,[status(thm)],[eq_73,eq_65]) ).
cnf(eq_75,plain,
A = double_divide(double_divide(B,A),double_divide(C,double_divide(B,double_divide(D,double_divide(C,D))))),
inference(rw,[status(thm)],[eq_71,eq_65]) ).
cnf(eq_76,plain,
A = double_divide(double_divide(B,A),double_divide(inverse(B),inverse(double_divide(inverse(C),C)))),
inference(rw,[status(thm)],[eq_72,eq_65]) ).
cnf(eq_77,plain,
A = double_divide(double_divide(inverse(double_divide(B,double_divide(C,B))),C),double_divide(D,double_divide(inverse(A),D))),
eq_69 ).
cnf(eq_78,plain,
A = double_divide(inverse(B),double_divide(inverse(inverse(double_divide(C,double_divide(A,C)))),inverse(B))),
eq_70 ).
cnf(eq_79,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(C,D),C),A),x101),double_divide(D,A)) = x101,
inference(cp,[status(thm)],[eq_74,eq_75]) ).
cnf(eq_80,plain,
double_divide(double_divide(double_divide(double_divide(x101,C),x101),x102),double_divide(D,double_divide(C,D))) = x102,
inference(cp,[status(thm)],[eq_35,eq_74]) ).
cnf(eq_81,plain,
double_divide(inverse(x100),double_divide(C,double_divide(inverse(inverse(x100)),inverse(double_divide(inverse(double_divide(D,double_divide(inverse(inverse(double_divide(x101,double_divide(x102,x101)))),D))),C))))) = x102,
inference(cp,[status(thm)],[eq_53,eq_78]) ).
cnf(eq_82,plain,
A = double_divide(double_divide(double_divide(double_divide(B,C),B),A),double_divide(D,double_divide(C,D))),
eq_80 ).
cnf(eq_83,plain,
A = double_divide(B,double_divide(inverse(inverse(double_divide(C,double_divide(A,C)))),B)),
inference(rw,[status(thm)],[eq_81,eq_66]) ).
cnf(eq_84,plain,
A = double_divide(double_divide(double_divide(double_divide(double_divide(B,C),B),D),A),double_divide(C,D)),
eq_79 ).
cnf(eq_85,plain,
double_divide(double_divide(double_divide(B,C),B),double_divide(x103,double_divide(D,x103))) = double_divide(C,D),
inference(cp,[status(thm)],[eq_84,eq_82]) ).
cnf(eq_86,plain,
double_divide(A,B) = double_divide(double_divide(double_divide(C,A),C),double_divide(D,double_divide(B,D))),
eq_85 ).
cnf(eq_87,plain,
double_divide(A,double_divide(inverse(double_divide(inverse(double_divide(B,double_divide(C,B))),C)),inverse(double_divide(inverse(x102),x102)))) = double_divide(D,double_divide(inverse(A),D)),
inference(cp,[status(thm)],[eq_77,eq_76]) ).
cnf(eq_88,plain,
double_divide(double_divide(B,D),B) = double_divide(double_divide(x100,D),x100),
inference(cp,[status(thm)],[eq_86,eq_84]) ).
cnf(eq_89,plain,
double_divide(double_divide(A,B),A) = double_divide(double_divide(C,B),C),
eq_88 ).
cnf(eq_90,plain,
double_divide(A,double_divide(inverse(B),A)) = double_divide(B,double_divide(inverse(C),C)),
inference(rw,[status(thm)],[eq_87,eq_65]) ).
cnf(eq_91,plain,
double_divide(x100,double_divide(inverse(double_divide(double_divide(A,double_divide(inverse(inverse(double_divide(x101,double_divide(double_divide(inverse(C),C),x101)))),A)),x103)),x100)) = x103,
inference(cp,[status(thm)],[eq_90,eq_52]) ).
cnf(eq_92,plain,
double_divide(double_divide(A,double_divide(inverse(inverse(double_divide(x100,double_divide(double_divide(inverse(C),C),x100)))),A)),double_divide(x102,double_divide(inverse(x103),x102))) = x103,
inference(cp,[status(thm)],[eq_90,eq_77]) ).
cnf(eq_93,plain,
double_divide(inverse(double_divide(A,double_divide(inverse(inverse(double_divide(x100,double_divide(double_divide(inverse(C),C),x100)))),A))),inverse(x102)) = x102,
inference(cp,[status(thm)],[eq_90,eq_65]) ).
cnf(eq_94,plain,
double_divide(double_divide(inverse(C),C),double_divide(A,double_divide(inverse(inverse(x101)),A))) = double_divide(x101,double_divide(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_90,eq_90]) ).
cnf(eq_95,plain,
double_divide(double_divide(C,B),C) = double_divide(x102,double_divide(inverse(double_divide(double_divide(inverse(x101),x101),B)),x102)),
inference(cp,[status(thm)],[eq_89,eq_90]) ).
cnf(eq_96,plain,
A = double_divide(B,double_divide(inverse(double_divide(double_divide(inverse(C),C),A)),B)),
inference(rw,[status(thm)],[eq_91,eq_83]) ).
cnf(eq_97,plain,
A = double_divide(double_divide(inverse(B),B),double_divide(C,double_divide(inverse(A),C))),
inference(rw,[status(thm)],[eq_92,eq_83]) ).
cnf(eq_98,plain,
A = double_divide(inverse(double_divide(inverse(B),B)),inverse(A)),
inference(rw,[status(thm)],[eq_93,eq_83]) ).
cnf(eq_99,negated_conjecture,
inverse(double_divide(double_divide(inverse(C),C),double_divide(inverse(a3),inverse(double_divide(A,double_divide(inverse(inverse(double_divide(x101,double_divide(inverse(double_divide(c3,b3)),x101)))),A)))))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cp,[status(thm)],[eq_90,eq_68]) ).
cnf(eq_100,negated_conjecture,
inverse(double_divide(double_divide(inverse(A),A),double_divide(inverse(a3),inverse(inverse(double_divide(c3,b3)))))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(rw,[status(thm)],[eq_99,eq_83]) ).
cnf(eq_101,plain,
double_divide(inverse(A),double_divide(inverse(inverse(B)),inverse(A))) = B,
inference(cp,[status(thm)],[eq_98,eq_49]) ).
cnf(eq_102,plain,
A = double_divide(inverse(B),double_divide(inverse(inverse(A)),inverse(B))),
eq_101 ).
cnf(eq_103,plain,
A = double_divide(B,double_divide(A,B)),
inference(rw,[status(thm)],[eq_78,eq_102]) ).
cnf(eq_104,plain,
double_divide(double_divide(inverse(x100),x100),A) = inverse(A),
inference(cp,[status(thm)],[eq_102,eq_97]) ).
cnf(eq_105,plain,
double_divide(double_divide(inverse(A),A),B) = inverse(B),
eq_104 ).
cnf(eq_106,plain,
double_divide(A,double_divide(inverse(B),B)) = inverse(A),
inference(rw,[status(thm)],[eq_94,eq_97]) ).
cnf(eq_107,plain,
A = double_divide(double_divide(B,A),B),
inference(rw,[status(thm)],[eq_95,eq_96]) ).
cnf(eq_108,plain,
inverse(double_divide(inverse(x101),inverse(double_divide(inverse(double_divide(x101,x102)),double_divide(inverse(A),A))))) = x102,
inference(cp,[status(thm)],[eq_105,eq_49]) ).
cnf(eq_109,plain,
inverse(A) = double_divide(inverse(double_divide(A,x103)),inverse(double_divide(x104,double_divide(inverse(inverse(double_divide(x102,double_divide(x103,x102)))),x104)))),
inference(cp,[status(thm)],[eq_106,eq_33]) ).
cnf(eq_110,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_102,eq_103]) ).
cnf(eq_111,plain,
double_divide(inverse(double_divide(A,B)),inverse(B)) = inverse(A),
inference(rw,[status(thm)],[eq_109,eq_83]) ).
cnf(eq_112,plain,
A = inverse(double_divide(inverse(B),inverse(double_divide(B,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_108,eq_106]),eq_110]) ).
cnf(eq_113,plain,
double_divide(inverse(double_divide(double_divide(x101,x102),A)),double_divide(inverse(x101),A)) = x102,
inference(cp,[status(thm)],[eq_112,eq_49]) ).
cnf(eq_114,plain,
A = double_divide(inverse(double_divide(double_divide(B,A),C)),double_divide(inverse(B),C)),
eq_113 ).
cnf(eq_115,plain,
double_divide(inverse(A),inverse(B)) = inverse(double_divide(B,A)),
inference(cp,[status(thm)],[eq_107,eq_111]) ).
cnf(eq_116,negated_conjecture,
double_divide(double_divide(double_divide(inverse(b3),inverse(c3)),a3),double_divide(inverse(A),A)) != double_divide(double_divide(b3,a3),inverse(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_100,eq_115]),eq_115]),eq_110]),eq_110]),eq_115]),eq_115]),eq_115]),eq_115]),eq_110]),eq_110]),eq_115]),eq_115]),eq_115]),eq_110]),eq_110]) ).
cnf(eq_117,plain,
double_divide(double_divide(inverse(B),C),A) = inverse(double_divide(double_divide(B,A),C)),
inference(cp,[status(thm)],[eq_114,eq_103]) ).
cnf(eq_118,plain,
double_divide(double_divide(inverse(A),B),C) = inverse(double_divide(double_divide(A,C),B)),
eq_117 ).
cnf(eq_119,negated_conjecture,
double_divide(inverse(double_divide(double_divide(b3,a3),inverse(c3))),double_divide(inverse(x100),x100)) != double_divide(double_divide(b3,a3),inverse(c3)),
inference(cp,[status(thm)],[eq_118,eq_116]) ).
cnf(eq_120,negated_conjecture,
double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(double_divide(b3,a3),inverse(c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_119,eq_106]),eq_110]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP504-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % 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 04:21:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 23.98/24.18 % SZS status Unsatisfiable
% 23.98/24.18 % SZS output start CNFRefutation for /tmp/MaedMax_20103
% See solution above
% 23.98/24.18
%------------------------------------------------------------------------------