TSTP Solution File: GRP575-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 07:02:56 EDT 2022
% Result : Unsatisfiable 1.52s 1.75s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of clauses : 111 ( 111 unt; 0 nHn; 22 RR)
% Number of literals : 111 ( 110 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(C,B)),double_divide(C,identity))),double_divide(identity,identity)),
file('/tmp/MaedMax_26446') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_26446') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_26446') ).
cnf(eq_3,axiom,
double_divide(A,inverse(A)) = identity,
file('/tmp/MaedMax_26446') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_26446') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(C,B)),inverse(C))),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).
cnf(eq_6,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_7,negated_conjecture,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_8,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(A,double_divide(C,B)),double_divide(C,identity))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_9,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(double_divide(identity,double_divide(B,double_divide(identity,identity))),double_divide(identity,identity)),
eq_8 ).
cnf(eq_10,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) = double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]),eq_2]) ).
cnf(eq_11,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(x101,identity),inverse(A))),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_12,plain,
double_divide(double_divide(identity,double_divide(double_divide(x101,inverse(A)),inverse(A))),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_13,plain,
A = double_divide(double_divide(inverse(B),double_divide(inverse(A),inverse(B))),inverse(identity)),
inference(rw,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_14,plain,
A = double_divide(double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B))),inverse(identity)),
eq_12 ).
cnf(eq_15,plain,
double_divide(double_divide(B,A),multiply(A,B)) = identity,
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_16,plain,
double_divide(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),inverse(identity)) = B,
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_17,plain,
inverse(inverse(A)) = multiply(identity,A),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_18,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)) = A,
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_19,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(B,inverse(identity))),
inference(cp,[status(thm)],[eq_10,eq_14]) ).
cnf(eq_20,plain,
double_divide(double_divide(inverse(inverse(x101)),identity),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_3,eq_13]) ).
cnf(eq_21,plain,
A = double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)),
eq_18 ).
cnf(eq_22,plain,
double_divide(double_divide(identity,A),inverse(identity)) = double_divide(identity,double_divide(A,inverse(identity))),
inference(rw,[status(thm)],[eq_19,eq_5]) ).
cnf(eq_23,plain,
multiply(identity,A) = inverse(inverse(A)),
eq_17 ).
cnf(eq_24,plain,
double_divide(double_divide(A,B),multiply(B,A)) = identity,
eq_15 ).
cnf(eq_25,plain,
A = double_divide(inverse(inverse(inverse(A))),inverse(identity)),
inference(rw,[status(thm)],[eq_20,eq_2]) ).
cnf(eq_26,plain,
A = double_divide(double_divide(double_divide(identity,double_divide(A,inverse(identity))),inverse(identity)),inverse(identity)),
eq_16 ).
cnf(eq_27,plain,
A = double_divide(identity,double_divide(double_divide(double_divide(A,inverse(identity)),inverse(identity)),inverse(identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_22]),eq_22]) ).
cnf(eq_28,plain,
A = double_divide(identity,double_divide(identity,double_divide(inverse(A),inverse(identity)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_22]),eq_22]) ).
cnf(eq_29,plain,
A = double_divide(identity,double_divide(double_divide(double_divide(A,inverse(B)),inverse(B)),inverse(identity))),
inference(rw,[status(thm)],[eq_14,eq_22]) ).
cnf(eq_30,plain,
double_divide(x100,double_divide(identity,double_divide(double_divide(identity,x100),inverse(identity)))) = double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
inference(cp,[status(thm)],[eq_22,eq_10]) ).
cnf(eq_31,plain,
double_divide(identity,inverse(identity)) = double_divide(identity,double_divide(inverse(identity),inverse(identity))),
inference(cp,[status(thm)],[eq_3,eq_22]) ).
cnf(eq_32,plain,
double_divide(inverse(identity),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(identity))),
inference(cp,[status(thm)],[eq_2,eq_22]) ).
cnf(eq_33,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_3]),eq_2]) ).
cnf(eq_34,plain,
double_divide(A,double_divide(identity,double_divide(identity,double_divide(A,inverse(identity))))) = double_divide(inverse(identity),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_22]),eq_3]),eq_2]) ).
cnf(eq_35,plain,
double_divide(identity,double_divide(inverse(identity),inverse(identity))) = identity,
inference(rw,[status(thm)],[eq_31,eq_3]) ).
cnf(eq_36,plain,
double_divide(inverse(A),A) = double_divide(inverse(identity),inverse(identity)),
inference(cp,[status(thm)],[eq_28,eq_34]) ).
cnf(eq_37,plain,
double_divide(identity,identity) = identity,
inference(cp,[status(thm)],[eq_35,eq_28]) ).
cnf(eq_38,plain,
double_divide(identity,double_divide(identity,inverse(identity))) = identity,
inference(cp,[status(thm)],[eq_33,eq_28]) ).
cnf(eq_39,plain,
double_divide(identity,double_divide(identity,A)) = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_25,eq_28]) ).
cnf(eq_40,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_3]),eq_2]) ).
cnf(eq_41,plain,
double_divide(inverse(A),A) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_40]),eq_40]),eq_2]),eq_40]) ).
cnf(eq_42,plain,
double_divide(identity,inverse(A)) = inverse(double_divide(identity,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_40]),eq_2]),eq_40]),eq_2]) ).
cnf(eq_43,plain,
A = inverse(inverse(inverse(inverse(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_40]),eq_2]),eq_39]) ).
cnf(eq_44,plain,
A = double_divide(identity,inverse(inverse(inverse(A)))),
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_27,eq_40]),eq_40]),eq_40]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_45,plain,
A = inverse(inverse(double_divide(identity,inverse(A)))),
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_26,eq_40]),eq_40]),eq_40]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_46,plain,
A = inverse(double_divide(inverse(B),double_divide(inverse(A),inverse(B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_40]),eq_2]) ).
cnf(eq_47,plain,
double_divide(double_divide(inverse(B),double_divide(inverse(A),inverse(B))),A) = identity,
inference(cp,[status(thm)],[eq_46,eq_3]) ).
cnf(eq_48,plain,
double_divide(identity,A) = inverse(A),
inference(cp,[status(thm)],[eq_43,eq_44]) ).
cnf(eq_49,plain,
inverse(double_divide(inverse(x100),identity)) = inverse(x100),
inference(cp,[status(thm)],[eq_41,eq_46]) ).
cnf(eq_50,plain,
inverse(double_divide(inverse(x100),double_divide(A,inverse(x100)))) = double_divide(inverse(B),double_divide(inverse(A),inverse(B))),
inference(cp,[status(thm)],[eq_46,eq_46]) ).
cnf(eq_51,plain,
inverse(double_divide(inverse(double_divide(inverse(B),double_divide(inverse(A),inverse(B)))),double_divide(inverse(x101),A))) = x101,
inference(cp,[status(thm)],[eq_46,eq_46]) ).
cnf(eq_52,plain,
inverse(inverse(inverse(double_divide(identity,A)))) = A,
inference(cp,[status(thm)],[eq_42,eq_45]) ).
cnf(eq_53,plain,
inverse(A) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[eq_49,eq_2]) ).
cnf(eq_54,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(A))),B) = identity,
eq_47 ).
cnf(eq_55,plain,
double_divide(inverse(A),double_divide(inverse(B),inverse(A))) = inverse(double_divide(inverse(C),double_divide(B,inverse(C)))),
eq_50 ).
cnf(eq_56,plain,
A = inverse(inverse(inverse(double_divide(identity,A)))),
eq_52 ).
cnf(eq_57,negated_conjecture,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),double_divide(inverse(A),A)) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
inference(cp,[status(thm)],[eq_41,eq_7]) ).
cnf(eq_58,negated_conjecture,
double_divide(double_divide(c3,inverse(double_divide(b3,a3))),double_divide(inverse(A),A)) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_2]),eq_2]),eq_2]) ).
cnf(eq_59,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) = inverse(B),
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_10,eq_40]),eq_40]),eq_2]),eq_48]),eq_2]),eq_53]) ).
cnf(eq_60,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_48]),eq_53]) ).
cnf(eq_61,plain,
A = inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_40]),eq_2]),eq_48]) ).
cnf(eq_62,plain,
A = inverse(double_divide(B,double_divide(inverse(A),B))),
inference(rw,[status(thm)],[eq_51,eq_46]) ).
cnf(eq_63,plain,
double_divide(x100,double_divide(identity,inverse(x102))) = inverse(inverse(double_divide(x102,x100))),
inference(cp,[status(thm)],[eq_41,eq_59]) ).
cnf(eq_64,plain,
double_divide(x100,double_divide(identity,inverse(x102))) = inverse(double_divide(inverse(A),double_divide(inverse(double_divide(x102,x100)),inverse(A)))),
inference(cp,[status(thm)],[eq_54,eq_59]) ).
cnf(eq_65,plain,
double_divide(B,double_divide(double_divide(x101,identity),inverse(double_divide(inverse(A),double_divide(inverse(B),inverse(A)))))) = inverse(x101),
inference(cp,[status(thm)],[eq_54,eq_59]) ).
cnf(eq_66,plain,
double_divide(x100,double_divide(double_divide(x101,double_divide(identity,x100)),identity)) = inverse(x101),
inference(cp,[status(thm)],[eq_40,eq_59]) ).
cnf(eq_67,plain,
double_divide(inverse(x100),double_divide(A,inverse(x100))) = inverse(double_divide(inverse(x102),double_divide(inverse(A),inverse(x102)))),
inference(cp,[status(thm)],[eq_60,eq_55]) ).
cnf(eq_68,plain,
identity = double_divide(x101,double_divide(double_divide(identity,double_divide(x102,x101)),inverse(x102))),
inference(cp,[status(thm)],[eq_40,eq_59]) ).
cnf(eq_69,plain,
inverse(double_divide(x100,double_divide(A,x100))) = inverse(A),
inference(cp,[status(thm)],[eq_60,eq_62]) ).
cnf(eq_70,plain,
A = double_divide(double_divide(A,inverse(B)),inverse(B)),
inference(cp,[status(thm)],[eq_61,eq_60]) ).
cnf(eq_71,plain,
double_divide(A,inverse(double_divide(B,inverse(A)))) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_48]),eq_2]) ).
cnf(eq_72,plain,
double_divide(A,B) = double_divide(B,inverse(inverse(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_48]),eq_46]) ).
cnf(eq_73,plain,
double_divide(A,double_divide(inverse(B),A)) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_2]),eq_46]) ).
cnf(eq_74,plain,
double_divide(A,inverse(inverse(B))) = inverse(inverse(double_divide(B,A))),
inference(rw,[status(thm)],[eq_63,eq_48]) ).
cnf(eq_75,plain,
double_divide(A,double_divide(inverse(double_divide(B,A)),inverse(B))) = identity,
inference(rw,[status(thm)],[eq_68,eq_48]) ).
cnf(eq_76,plain,
A = double_divide(inverse(B),double_divide(A,inverse(B))),
inference(rw,[status(thm)],[eq_67,eq_46]) ).
cnf(eq_77,plain,
inverse(A) = inverse(double_divide(B,double_divide(A,B))),
eq_69 ).
cnf(eq_78,plain,
double_divide(A,B) = double_divide(B,A),
inference(rw,[status(thm)],[eq_72,eq_60]) ).
cnf(eq_79,plain,
double_divide(double_divide(A,inverse(B)),A) = inverse(B),
inference(cp,[status(thm)],[eq_76,eq_73]) ).
cnf(eq_80,plain,
double_divide(double_divide(x100,inverse(inverse(A))),A) = x100,
inference(cp,[status(thm)],[eq_60,eq_70]) ).
cnf(eq_81,plain,
double_divide(inverse(inverse(A)),double_divide(x101,A)) = x101,
inference(cp,[status(thm)],[eq_60,eq_76]) ).
cnf(eq_82,plain,
A = double_divide(B,double_divide(A,B)),
inference(rw,[status(thm)],[eq_81,eq_60]) ).
cnf(eq_83,plain,
A = double_divide(double_divide(A,B),B),
inference(rw,[status(thm)],[eq_80,eq_60]) ).
cnf(eq_84,plain,
inverse(double_divide(B,A)) = inverse(double_divide(A,B)),
inference(cp,[status(thm)],[eq_83,eq_77]) ).
cnf(eq_85,plain,
double_divide(double_divide(inverse(double_divide(B,A)),inverse(B)),identity) = A,
inference(cp,[status(thm)],[eq_75,eq_82]) ).
cnf(eq_86,plain,
double_divide(inverse(B),A) = inverse(double_divide(B,inverse(A))),
inference(cp,[status(thm)],[eq_71,eq_79]) ).
cnf(eq_87,plain,
A = inverse(double_divide(inverse(double_divide(B,A)),inverse(B))),
inference(rw,[status(thm)],[eq_85,eq_2]) ).
cnf(eq_88,plain,
double_divide(inverse(A),B) = inverse(double_divide(A,inverse(B))),
eq_86 ).
cnf(eq_89,plain,
inverse(double_divide(A,B)) = inverse(double_divide(B,A)),
eq_84 ).
cnf(eq_90,negated_conjecture,
inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != double_divide(double_divide(c3,inverse(double_divide(b3,a3))),double_divide(inverse(x100),x100)),
inference(cp,[status(thm)],[eq_78,eq_58]) ).
cnf(eq_91,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_6]),eq_6]) ).
cnf(eq_92,plain,
double_divide(A,B) = inverse(multiply(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_60]),eq_6]) ).
cnf(eq_93,plain,
A = multiply(identity,A),
inference(rw,[status(thm)],[eq_23,eq_60]) ).
cnf(eq_94,plain,
double_divide(identity,multiply(B,A)) = double_divide(A,B),
inference(cp,[status(thm)],[eq_24,eq_83]) ).
cnf(eq_95,plain,
double_divide(A,B) = inverse(multiply(B,A)),
inference(rw,[status(thm)],[eq_94,eq_48]) ).
cnf(eq_96,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(b3,c3),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)],[eq_90,eq_6]),eq_6]),eq_6]),eq_41]),eq_2]),eq_6]) ).
cnf(eq_97,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(multiply(b3,c3),a3),
inference(cp,[status(thm)],[eq_91,eq_96]) ).
cnf(eq_98,plain,
inverse(multiply(A,B)) = inverse(multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_95]),eq_95]) ).
cnf(eq_99,plain,
A = multiply(double_divide(double_divide(A,double_divide(B,C)),double_divide(B,identity)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_37]),eq_1]) ).
cnf(eq_100,plain,
multiply(double_divide(double_divide(double_divide(x101,x102),B),double_divide(x101,identity)),x102) = B,
inference(cp,[status(thm)],[eq_78,eq_99]) ).
cnf(eq_101,plain,
A = multiply(double_divide(double_divide(double_divide(B,C),A),double_divide(B,identity)),C),
eq_100 ).
cnf(eq_102,plain,
A = multiply(multiply(B,A),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_92]),eq_60]),eq_92]),eq_60]) ).
cnf(eq_103,plain,
multiply(inverse(A),B) = inverse(multiply(A,inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_95]),eq_95]),eq_60]) ).
cnf(eq_104,plain,
multiply(multiply(multiply(A,B),x101),inverse(multiply(B,A))) = x101,
inference(cp,[status(thm)],[eq_98,eq_102]) ).
cnf(eq_105,plain,
A = multiply(multiply(multiply(B,C),A),inverse(multiply(C,B))),
eq_104 ).
cnf(eq_106,plain,
A = multiply(multiply(B,multiply(A,inverse(multiply(C,B)))),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)],[eq_101,eq_95]),eq_95]),eq_95]),eq_93]),eq_95]),eq_103]),eq_60]),eq_60]) ).
cnf(eq_107,plain,
multiply(multiply(B,A),C) = multiply(multiply(B,C),A),
inference(cp,[status(thm)],[eq_105,eq_106]) ).
cnf(eq_108,plain,
multiply(multiply(A,B),C) = multiply(multiply(A,C),B),
eq_107 ).
cnf(eq_109,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(multiply(b3,a3),c3),
inference(cp,[status(thm)],[eq_108,eq_97]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n011.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 04:16:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.52/1.75 % SZS status Unsatisfiable
% 1.52/1.75 % SZS output start CNFRefutation for /tmp/MaedMax_26446
% See solution above
% 1.52/1.75
%------------------------------------------------------------------------------