TSTP Solution File: GRP579-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 07:02:57 EDT 2022
% Result : Unsatisfiable 1.29s 1.49s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of clauses : 79 ( 79 unt; 0 nHn; 17 RR)
% Number of literals : 79 ( 78 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(double_divide(C,B),A),double_divide(C,identity))),double_divide(identity,identity)),
file('/tmp/MaedMax_796') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_796') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_796') ).
cnf(eq_3,axiom,
double_divide(A,inverse(A)) = identity,
file('/tmp/MaedMax_796') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_796') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(double_divide(C,B),A),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,plain,
double_divide(double_divide(x100,A),double_divide(identity,identity)) = double_divide(double_divide(double_divide(C,double_divide(identity,x100)),A),double_divide(C,identity)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(A,x102),double_divide(double_divide(B,double_divide(double_divide(double_divide(C,B),A),double_divide(C,identity))),identity))),double_divide(identity,identity)) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_9,plain,
A = double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(B,A),double_divide(double_divide(C,double_divide(double_divide(double_divide(x3,C),B),double_divide(x3,identity))),identity))),double_divide(identity,identity)),
eq_8 ).
cnf(eq_10,plain,
double_divide(double_divide(A,B),double_divide(identity,identity)) = double_divide(double_divide(double_divide(C,double_divide(identity,A)),B),double_divide(C,identity)),
eq_7 ).
cnf(eq_11,plain,
double_divide(double_divide(A,B),inverse(identity)) = double_divide(double_divide(double_divide(C,double_divide(identity,A)),B),inverse(C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_2]),eq_2]) ).
cnf(eq_12,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_4,eq_6]),eq_6]),eq_6]),eq_6]) ).
cnf(eq_13,plain,
double_divide(double_divide(x100,double_divide(identity,inverse(x101))),inverse(identity)) = inverse(double_divide(x101,x100)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_14,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(identity,x102),inverse(A))),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_15,plain,
A = double_divide(double_divide(inverse(B),double_divide(double_divide(identity,A),inverse(B))),inverse(identity)),
eq_14 ).
cnf(eq_16,plain,
double_divide(double_divide(A,double_divide(identity,inverse(B))),inverse(identity)) = inverse(double_divide(B,A)),
eq_13 ).
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(inverse(double_divide(identity,x101)),identity),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_3,eq_15]) ).
cnf(eq_19,plain,
double_divide(double_divide(inverse(x100),double_divide(inverse(identity),inverse(x100))),inverse(identity)) = identity,
inference(cp,[status(thm)],[eq_2,eq_15]) ).
cnf(eq_20,plain,
multiply(identity,A) = inverse(inverse(A)),
eq_17 ).
cnf(eq_21,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(identity),inverse(A))),inverse(identity)) = identity,
eq_19 ).
cnf(eq_22,plain,
A = double_divide(inverse(multiply(A,identity)),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_6]),eq_2]) ).
cnf(eq_23,plain,
A = double_divide(inverse(inverse(double_divide(identity,A))),inverse(identity)),
inference(rw,[status(thm)],[eq_22,eq_6]) ).
cnf(eq_24,plain,
double_divide(double_divide(x100,identity),inverse(identity)) = inverse(double_divide(identity,x100)),
inference(cp,[status(thm)],[eq_3,eq_16]) ).
cnf(eq_25,plain,
double_divide(double_divide(double_divide(inverse(identity),inverse(A)),double_divide(identity,inverse(inverse(A)))),inverse(identity)) = inverse(identity),
inference(cp,[status(thm)],[eq_21,eq_5]) ).
cnf(eq_26,plain,
inverse(double_divide(B,double_divide(identity,double_divide(identity,x101)))) = double_divide(double_divide(x101,double_divide(identity,inverse(B))),inverse(identity)),
inference(cp,[status(thm)],[eq_16,eq_11]) ).
cnf(eq_27,plain,
double_divide(double_divide(inverse(inverse(identity)),identity),inverse(identity)) = identity,
inference(cp,[status(thm)],[eq_3,eq_21]) ).
cnf(eq_28,plain,
inverse(double_divide(A,B)) = inverse(double_divide(A,double_divide(identity,double_divide(identity,B)))),
inference(rw,[status(thm)],[eq_26,eq_16]) ).
cnf(eq_29,plain,
double_divide(inverse(inverse(inverse(identity))),inverse(identity)) = identity,
inference(rw,[status(thm)],[eq_27,eq_2]) ).
cnf(eq_30,plain,
inverse(double_divide(inverse(A),double_divide(inverse(identity),inverse(A)))) = inverse(identity),
inference(rw,[status(thm)],[eq_25,eq_16]) ).
cnf(eq_31,plain,
double_divide(inverse(A),inverse(identity)) = inverse(double_divide(identity,A)),
inference(rw,[status(thm)],[eq_24,eq_2]) ).
cnf(eq_32,plain,
identity = inverse(double_divide(identity,inverse(inverse(identity)))),
inference(cp,[status(thm)],[eq_29,eq_31]) ).
cnf(eq_33,plain,
A = inverse(double_divide(identity,inverse(double_divide(identity,A)))),
inference(cp,[status(thm)],[eq_23,eq_31]) ).
cnf(eq_34,plain,
inverse(double_divide(identity,inverse(double_divide(identity,B)))) = double_divide(identity,double_divide(identity,B)),
inference(cp,[status(thm)],[eq_28,eq_33]) ).
cnf(eq_35,plain,
inverse(double_divide(identity,double_divide(inverse(identity),inverse(double_divide(identity,inverse(inverse(identity))))))) = inverse(identity),
inference(cp,[status(thm)],[eq_32,eq_30]) ).
cnf(eq_36,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_32]),eq_2]),eq_32]) ).
cnf(eq_37,plain,
A = double_divide(identity,double_divide(identity,A)),
inference(rw,[status(thm)],[eq_34,eq_33]) ).
cnf(eq_38,plain,
double_divide(double_divide(x100,double_divide(double_divide(double_divide(x101,x100),x102),inverse(x101))),identity) = x102,
inference(cp,[status(thm)],[eq_36,eq_5]) ).
cnf(eq_39,plain,
double_divide(inverse(x100),identity) = inverse(double_divide(identity,x100)),
inference(cp,[status(thm)],[eq_36,eq_31]) ).
cnf(eq_40,plain,
inverse(double_divide(identity,inverse(A))) = double_divide(identity,A),
inference(cp,[status(thm)],[eq_37,eq_33]) ).
cnf(eq_41,plain,
inverse(double_divide(identity,A)) = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_39,eq_2]) ).
cnf(eq_42,plain,
A = inverse(double_divide(B,double_divide(double_divide(double_divide(C,B),A),inverse(C)))),
inference(rw,[status(thm)],[eq_38,eq_2]) ).
cnf(eq_43,plain,
double_divide(identity,A) = inverse(double_divide(identity,inverse(A))),
eq_40 ).
cnf(eq_44,plain,
A = inverse(inverse(inverse(inverse(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_41]),eq_41]) ).
cnf(eq_45,plain,
double_divide(double_divide(double_divide(A,double_divide(identity,B)),C),inverse(A)) = inverse(double_divide(B,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_2]),eq_36]),eq_2]),eq_2]) ).
cnf(eq_46,plain,
inverse(A) = inverse(inverse(double_divide(identity,A))),
inference(cp,[status(thm)],[eq_37,eq_41]) ).
cnf(eq_47,plain,
inverse(A) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[eq_46,eq_41]) ).
cnf(eq_48,plain,
double_divide(identity,A) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[eq_43,eq_41]) ).
cnf(eq_49,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_44,eq_47]) ).
cnf(eq_50,plain,
double_divide(identity,A) = inverse(A),
inference(rw,[status(thm)],[eq_48,eq_49]) ).
cnf(eq_51,plain,
inverse(double_divide(A,B)) = inverse(double_divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_50]),eq_36]),eq_49]),eq_2]) ).
cnf(eq_52,plain,
A = double_divide(double_divide(B,A),inverse(double_divide(C,double_divide(double_divide(double_divide(x3,C),B),inverse(x3))))),
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_9,eq_50]),eq_2]),eq_50]),eq_36]),eq_2]),eq_36]),eq_50]),eq_2]),eq_49]) ).
cnf(eq_53,plain,
double_divide(double_divide(A,x101),A) = x101,
inference(cp,[status(thm)],[eq_42,eq_52]) ).
cnf(eq_54,plain,
inverse(double_divide(x100,double_divide(double_divide(double_divide(identity,x100),x102),identity))) = x102,
inference(cp,[status(thm)],[eq_36,eq_42]) ).
cnf(eq_55,plain,
A = double_divide(double_divide(B,A),B),
eq_53 ).
cnf(eq_56,plain,
multiply(A,B) = multiply(B,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_16,eq_50]),eq_36]),eq_49]),eq_2]),eq_6]),eq_6]) ).
cnf(eq_57,plain,
A = multiply(identity,A),
inference(rw,[status(thm)],[eq_20,eq_49]) ).
cnf(eq_58,plain,
A = multiply(A,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_36]),eq_2]),eq_49]) ).
cnf(eq_59,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(cp,[status(thm)],[eq_6,eq_49]) ).
cnf(eq_60,plain,
double_divide(A,B) = inverse(multiply(B,A)),
eq_59 ).
cnf(eq_61,plain,
double_divide(double_divide(A,B),identity) = double_divide(double_divide(B,A),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_2]),eq_2]) ).
cnf(eq_62,plain,
double_divide(A,identity) = double_divide(double_divide(B,double_divide(B,A)),identity),
inference(cp,[status(thm)],[eq_55,eq_61]) ).
cnf(eq_63,plain,
inverse(double_divide(double_divide(identity,B),inverse(double_divide(B,C)))) = C,
inference(cp,[status(thm)],[eq_45,eq_42]) ).
cnf(eq_64,plain,
A = inverse(double_divide(B,inverse(double_divide(double_divide(identity,B),A)))),
inference(rw,[status(thm)],[eq_54,eq_2]) ).
cnf(eq_65,plain,
A = inverse(double_divide(double_divide(identity,B),inverse(double_divide(B,A)))),
eq_63 ).
cnf(eq_66,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_50]),eq_6]),eq_6]) ).
cnf(eq_67,plain,
A = multiply(multiply(A,inverse(B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_50]),eq_6]),eq_6]) ).
cnf(eq_68,plain,
multiply(inverse(multiply(A,B)),B) = 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)],[inference(rw,[status(thm)],[eq_62,eq_60]),eq_57]),eq_60]),eq_60]),eq_60]),eq_57]),eq_49]) ).
cnf(eq_69,plain,
multiply(multiply(inverse(x101),B),x101) = B,
inference(cp,[status(thm)],[eq_56,eq_67]) ).
cnf(eq_70,plain,
A = multiply(multiply(inverse(B),A),B),
eq_69 ).
cnf(eq_71,negated_conjecture,
inverse(inverse(multiply(inverse(inverse(multiply(a3,b3))),c3))) != inverse(inverse(multiply(a3,inverse(inverse(multiply(b3,c3)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_60]),eq_60]),eq_60]),eq_60]) ).
cnf(eq_72,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_68,eq_66]) ).
cnf(eq_73,plain,
double_divide(A,B) = multiply(inverse(B),inverse(A)),
inference(rw,[status(thm)],[eq_60,eq_72]) ).
cnf(eq_74,plain,
multiply(A,B) = multiply(C,multiply(A,multiply(B,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)],[eq_45,eq_73]),eq_36]),eq_58]),eq_73]),eq_49]),eq_73]),eq_72]),eq_49]),eq_73]),eq_49]),eq_72]),eq_49]),eq_72]),eq_49]),eq_73]),eq_72]),eq_49]),eq_49]) ).
cnf(eq_75,plain,
multiply(multiply(A,B),x100) = multiply(A,multiply(B,inverse(inverse(x100)))),
inference(cp,[status(thm)],[eq_74,eq_70]) ).
cnf(eq_76,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_75,eq_49]) ).
cnf(eq_77,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_71,eq_49]),eq_76]),eq_49]),eq_49]),eq_49]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:20:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.29/1.49 % SZS status Unsatisfiable
% 1.29/1.49 % SZS output start CNFRefutation for /tmp/MaedMax_796
% See solution above
% 1.29/1.49
%------------------------------------------------------------------------------