TSTP Solution File: GRP203-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 07:02:26 EDT 2022
% Result : Unsatisfiable 6.75s 6.95s
% Output : CNFRefutation 6.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 4
% Syntax : Number of clauses : 98 ( 98 unt; 0 nHn; 10 RR)
% Number of literals : 98 ( 97 equ; 5 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_23263') ).
cnf(eq_1,axiom,
identity = multiply(left_inverse(X),X),
file('/tmp/MaedMax_23263') ).
cnf(eq_2,axiom,
multiply(X,multiply(Y,multiply(X,Z))) = multiply(multiply(multiply(X,Y),X),Z),
file('/tmp/MaedMax_23263') ).
cnf(eq_3,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/tmp/MaedMax_23263') ).
cnf(eq_4,plain,
multiply(multiply(X,multiply(Y,multiply(X,multiply(X,Y)))),x102) = multiply(multiply(X,Y),multiply(X,multiply(multiply(X,Y),x102))),
inference(cp,[status(thm)],[eq_2,eq_2]) ).
cnf(eq_5,plain,
multiply(multiply(multiply(X,multiply(Y,multiply(X,Z))),multiply(multiply(X,Y),X)),x102) = multiply(multiply(multiply(X,Y),X),multiply(Z,multiply(multiply(multiply(X,Y),X),x102))),
inference(cp,[status(thm)],[eq_2,eq_2]) ).
cnf(eq_6,plain,
multiply(multiply(X,identity),x102) = multiply(identity,multiply(X,multiply(identity,x102))),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_7,plain,
multiply(multiply(identity,left_inverse(X)),x102) = multiply(left_inverse(X),multiply(X,multiply(left_inverse(X),x102))),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_8,plain,
multiply(left_inverse(X),Y) = multiply(left_inverse(X),multiply(X,multiply(left_inverse(X),Y))),
inference(rw,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_9,plain,
multiply(multiply(X,Y),multiply(X,multiply(multiply(X,Y),Z))) = multiply(multiply(X,multiply(Y,multiply(X,multiply(X,Y)))),Z),
eq_4 ).
cnf(eq_10,plain,
multiply(X,Y) = multiply(multiply(X,identity),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_0]),eq_0]) ).
cnf(eq_11,plain,
multiply(X,multiply(Y,multiply(X,multiply(Z,multiply(X,multiply(Y,multiply(X,x3))))))) = multiply(multiply(multiply(X,multiply(Y,multiply(X,Z))),multiply(multiply(X,Y),X)),x3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_2]),eq_2]) ).
cnf(eq_12,plain,
multiply(identity,multiply(x101,multiply(identity,multiply(x102,multiply(x101,multiply(identity,x103)))))) = multiply(multiply(multiply(identity,multiply(x101,multiply(identity,x102))),multiply(multiply(identity,x101),identity)),x103),
inference(cp,[status(thm)],[eq_0,eq_11]) ).
cnf(eq_13,plain,
multiply(multiply(X,multiply(Y,multiply(X,identity))),x101) = multiply(multiply(multiply(X,Y),X),x101),
inference(cp,[status(thm)],[eq_2,eq_10]) ).
cnf(eq_14,plain,
multiply(multiply(x101,multiply(identity,multiply(identity,x101))),x102) = multiply(multiply(identity,x101),multiply(identity,multiply(multiply(identity,x101),x102))),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_15,plain,
multiply(left_inverse(X),multiply(X,identity)) = multiply(left_inverse(X),X),
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_16,plain,
multiply(X,multiply(X,Y)) = multiply(multiply(X,X),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_17,plain,
multiply(X,multiply(Y,multiply(X,Z))) = multiply(multiply(multiply(X,Y),multiply(X,identity)),Z),
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_12,eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_18,plain,
identity = multiply(left_inverse(X),multiply(X,identity)),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_19,negated_conjecture,
multiply(multiply(multiply(multiply(a,identity),b),c),b) != multiply(a,multiply(b,multiply(c,b))),
inference(cp,[status(thm)],[eq_10,eq_3]) ).
cnf(eq_20,plain,
multiply(left_inverse(multiply(multiply(X,Y),X)),multiply(X,multiply(Y,multiply(X,identity)))) = identity,
inference(cp,[status(thm)],[eq_2,eq_18]) ).
cnf(eq_21,plain,
multiply(X,multiply(Y,multiply(X,Z))) = multiply(multiply(X,multiply(Y,multiply(X,identity))),Z),
inference(rw,[status(thm)],[eq_13,eq_2]) ).
cnf(eq_22,plain,
multiply(left_inverse(multiply(multiply(X,Y),multiply(X,identity))),multiply(X,multiply(Y,multiply(X,identity)))) = identity,
inference(cp,[status(thm)],[eq_17,eq_18]) ).
cnf(eq_23,plain,
multiply(multiply(X,identity),x102) = multiply(X,multiply(left_inverse(X),multiply(X,x102))),
inference(cp,[status(thm)],[eq_18,eq_21]) ).
cnf(eq_24,plain,
multiply(left_inverse(multiply(multiply(x100,multiply(X,X)),x100)),multiply(x100,multiply(X,multiply(X,multiply(x100,identity))))) = identity,
inference(cp,[status(thm)],[eq_16,eq_20]) ).
cnf(eq_25,plain,
multiply(X,Y) = multiply(X,multiply(left_inverse(X),multiply(X,Y))),
inference(rw,[status(thm)],[eq_23,eq_10]) ).
cnf(eq_26,plain,
identity = multiply(left_inverse(multiply(multiply(X,multiply(Y,Y)),X)),multiply(X,multiply(Y,multiply(Y,multiply(X,identity))))),
eq_24 ).
cnf(eq_27,plain,
multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),identity)) = multiply(left_inverse(X),X),
inference(cp,[status(thm)],[eq_1,eq_25]) ).
cnf(eq_28,plain,
multiply(multiply(multiply(X,Y),multiply(multiply(X,left_inverse(X)),X)),x103) = multiply(X,multiply(left_inverse(X),multiply(X,multiply(Y,multiply(X,multiply(left_inverse(X),multiply(X,x103))))))),
inference(cp,[status(thm)],[eq_25,eq_11]) ).
cnf(eq_29,plain,
multiply(X,multiply(Y,multiply(X,Z))) = multiply(multiply(multiply(X,Y),multiply(multiply(X,left_inverse(X)),X)),Z),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_25]),eq_25]) ).
cnf(eq_30,plain,
identity = multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),identity)),
inference(rw,[status(thm)],[eq_27,eq_1]) ).
cnf(eq_31,plain,
multiply(left_inverse(multiply(identity,multiply(left_inverse(multiply(multiply(X,Y),X)),identity))),multiply(left_inverse(multiply(multiply(X,Y),X)),multiply(multiply(X,multiply(Y,multiply(X,identity))),multiply(left_inverse(multiply(multiply(X,Y),X)),identity)))) = identity,
inference(cp,[status(thm)],[eq_20,eq_22]) ).
cnf(eq_32,plain,
multiply(left_inverse(multiply(identity,multiply(left_inverse(X),identity))),multiply(left_inverse(X),multiply(multiply(X,identity),multiply(left_inverse(X),identity)))) = identity,
inference(cp,[status(thm)],[eq_18,eq_22]) ).
cnf(eq_33,plain,
multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),left_inverse(X))),left_inverse(left_inverse(X)))),multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),identity))) = identity,
inference(cp,[status(thm)],[eq_30,eq_26]) ).
cnf(eq_34,plain,
identity = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),left_inverse(X))),left_inverse(left_inverse(X)))),identity),
inference(rw,[status(thm)],[eq_33,eq_18]) ).
cnf(eq_35,plain,
multiply(identity,x101) = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),left_inverse(X))),left_inverse(left_inverse(X)))),x101),
inference(cp,[status(thm)],[eq_34,eq_10]) ).
cnf(eq_36,plain,
multiply(x100,identity) = multiply(multiply(multiply(x100,left_inverse(multiply(x100,x102))),multiply(multiply(x100,left_inverse(x100)),x100)),x102),
inference(cp,[status(thm)],[eq_1,eq_29]) ).
cnf(eq_37,plain,
X = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(Y)),multiply(left_inverse(Y),left_inverse(Y))),left_inverse(left_inverse(Y)))),X),
inference(rw,[status(thm)],[eq_35,eq_0]) ).
cnf(eq_38,plain,
multiply(X,identity) = multiply(multiply(multiply(X,left_inverse(multiply(X,Y))),multiply(multiply(X,left_inverse(X)),X)),Y),
eq_36 ).
cnf(eq_39,plain,
multiply(multiply(multiply(left_inverse(left_inverse(Y)),multiply(left_inverse(Y),left_inverse(Y))),left_inverse(left_inverse(Y))),multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(Y)),multiply(left_inverse(Y),left_inverse(Y))),left_inverse(left_inverse(Y)))),x101)) = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(Y)),multiply(left_inverse(Y),left_inverse(Y))),left_inverse(left_inverse(Y)))),x101),
inference(cp,[status(thm)],[eq_37,eq_8]) ).
cnf(eq_40,plain,
X = multiply(left_inverse(left_inverse(Y)),multiply(left_inverse(Y),multiply(left_inverse(Y),multiply(left_inverse(left_inverse(Y)),X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_37]),eq_2]),eq_16]),eq_37]) ).
cnf(eq_41,plain,
multiply(left_inverse(Y),X) = multiply(left_inverse(Y),multiply(left_inverse(Y),multiply(left_inverse(left_inverse(Y)),X))),
inference(cp,[status(thm)],[eq_40,eq_25]) ).
cnf(eq_42,plain,
multiply(left_inverse(left_inverse(x100)),multiply(left_inverse(x100),multiply(left_inverse(x100),Y))) = multiply(left_inverse(x100),Y),
inference(cp,[status(thm)],[eq_25,eq_40]) ).
cnf(eq_43,plain,
multiply(left_inverse(left_inverse(x100)),multiply(left_inverse(x100),multiply(left_inverse(x100),identity))) = left_inverse(x100),
inference(cp,[status(thm)],[eq_1,eq_40]) ).
cnf(eq_44,plain,
multiply(left_inverse(X),Y) = multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(left_inverse(X),Y))),
eq_42 ).
cnf(eq_45,plain,
multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(left_inverse(X),identity))) = left_inverse(X),
eq_43 ).
cnf(eq_46,plain,
multiply(left_inverse(X),Y) = multiply(left_inverse(X),multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),Y))),
eq_41 ).
cnf(eq_47,plain,
multiply(left_inverse(X),identity) = left_inverse(X),
inference(rw,[status(thm)],[eq_45,eq_44]) ).
cnf(eq_48,plain,
X = multiply(left_inverse(left_inverse(Y)),multiply(left_inverse(Y),X)),
inference(rw,[status(thm)],[eq_40,eq_46]) ).
cnf(eq_49,plain,
multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),Y)) = multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),Y)),
inference(cp,[status(thm)],[eq_46,eq_44]) ).
cnf(eq_50,plain,
X = multiply(left_inverse(Y),multiply(left_inverse(left_inverse(Y)),X)),
inference(cp,[status(thm)],[eq_48,eq_49]) ).
cnf(eq_51,plain,
multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),Y)) = multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),multiply(X,multiply(left_inverse(X),Y)))),
inference(cp,[status(thm)],[eq_8,eq_49]) ).
cnf(eq_52,plain,
multiply(left_inverse(left_inverse(X)),identity) = multiply(X,identity),
inference(cp,[status(thm)],[eq_18,eq_48]) ).
cnf(eq_53,plain,
multiply(left_inverse(left_inverse(X)),identity) = X,
inference(cp,[status(thm)],[eq_1,eq_48]) ).
cnf(eq_54,plain,
X = multiply(left_inverse(left_inverse(X)),identity),
eq_53 ).
cnf(eq_55,plain,
multiply(X,identity) = multiply(left_inverse(left_inverse(X)),identity),
eq_52 ).
cnf(eq_56,plain,
X = left_inverse(left_inverse(X)),
inference(rw,[status(thm)],[eq_54,eq_47]) ).
cnf(eq_57,plain,
multiply(X,identity) = left_inverse(left_inverse(X)),
inference(rw,[status(thm)],[eq_55,eq_47]) ).
cnf(eq_58,plain,
multiply(left_inverse(Y),multiply(Y,X)) = multiply(left_inverse(Y),multiply(left_inverse(left_inverse(Y)),X)),
inference(cp,[status(thm)],[eq_50,eq_8]) ).
cnf(eq_59,plain,
X = multiply(Y,multiply(left_inverse(Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_48]),eq_50]) ).
cnf(eq_60,plain,
identity = multiply(X,multiply(Y,multiply(X,left_inverse(multiply(multiply(X,Y),X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_47]),eq_47]),eq_0]),eq_21]),eq_48]) ).
cnf(eq_61,plain,
identity = multiply(X,left_inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_47]),eq_47]),eq_0]),eq_10]),eq_48]) ).
cnf(eq_62,plain,
X = multiply(left_inverse(Y),multiply(Y,X)),
inference(rw,[status(thm)],[eq_58,eq_50]) ).
cnf(eq_63,plain,
multiply(X,identity) = X,
inference(cp,[status(thm)],[eq_57,eq_56]) ).
cnf(eq_64,negated_conjecture,
multiply(multiply(multiply(left_inverse(left_inverse(a)),b),c),b) != multiply(a,multiply(b,multiply(c,b))),
inference(cp,[status(thm)],[eq_57,eq_19]) ).
cnf(eq_65,plain,
multiply(X,multiply(Y,multiply(X,Z))) = multiply(multiply(X,multiply(Y,X)),Z),
inference(rw,[status(thm)],[eq_21,eq_63]) ).
cnf(eq_66,plain,
multiply(X,multiply(Y,multiply(X,identity))) = multiply(multiply(X,Y),X),
inference(cp,[status(thm)],[eq_2,eq_63]) ).
cnf(eq_67,plain,
multiply(X,multiply(Y,X)) = multiply(multiply(X,Y),X),
inference(rw,[status(thm)],[eq_66,eq_63]) ).
cnf(eq_68,plain,
multiply(left_inverse(X),identity) = multiply(Y,multiply(X,left_inverse(multiply(multiply(X,Y),X)))),
inference(cp,[status(thm)],[eq_60,eq_62]) ).
cnf(eq_69,plain,
multiply(X,Y) = multiply(Y,multiply(multiply(left_inverse(Y),X),Y)),
inference(cp,[status(thm)],[eq_59,eq_67]) ).
cnf(eq_70,plain,
multiply(X,multiply(Y,left_inverse(multiply(multiply(Y,X),Y)))) = left_inverse(Y),
inference(rw,[status(thm)],[eq_68,eq_63]) ).
cnf(eq_71,plain,
X = multiply(multiply(X,multiply(left_inverse(multiply(X,Y)),X)),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_63]),eq_61]),eq_0]),eq_67]) ).
cnf(eq_72,plain,
multiply(left_inverse(Y),multiply(X,Y)) = multiply(multiply(left_inverse(Y),X),Y),
inference(cp,[status(thm)],[eq_69,eq_62]) ).
cnf(eq_73,plain,
multiply(multiply(Y,multiply(left_inverse(X),Y)),multiply(left_inverse(Y),X)) = Y,
inference(cp,[status(thm)],[eq_59,eq_71]) ).
cnf(eq_74,plain,
multiply(multiply(left_inverse(X),Y),X) = multiply(left_inverse(X),multiply(Y,X)),
eq_72 ).
cnf(eq_75,plain,
X = multiply(multiply(X,multiply(left_inverse(Y),X)),multiply(left_inverse(X),Y)),
eq_73 ).
cnf(eq_76,plain,
multiply(X,multiply(Y,left_inverse(multiply(Y,multiply(X,Y))))) = left_inverse(Y),
inference(rw,[status(thm)],[eq_70,eq_67]) ).
cnf(eq_77,plain,
multiply(x100,left_inverse(Y)) = multiply(Y,left_inverse(multiply(Y,multiply(left_inverse(x100),Y)))),
inference(cp,[status(thm)],[eq_76,eq_59]) ).
cnf(eq_78,plain,
multiply(left_inverse(multiply(X,multiply(left_inverse(Y),X))),X) = multiply(left_inverse(X),Y),
inference(cp,[status(thm)],[eq_75,eq_62]) ).
cnf(eq_79,plain,
multiply(left_inverse(X),Y) = multiply(left_inverse(multiply(X,multiply(left_inverse(Y),X))),X),
eq_78 ).
cnf(eq_80,plain,
multiply(X,left_inverse(Y)) = multiply(Y,left_inverse(multiply(Y,multiply(left_inverse(X),Y)))),
eq_77 ).
cnf(eq_81,plain,
multiply(left_inverse(multiply(x100,multiply(X,x100))),x100) = multiply(left_inverse(x100),left_inverse(X)),
inference(cp,[status(thm)],[eq_56,eq_78]) ).
cnf(eq_82,plain,
multiply(left_inverse(X),left_inverse(Y)) = multiply(left_inverse(multiply(X,multiply(Y,X))),X),
eq_81 ).
cnf(eq_83,plain,
multiply(multiply(left_inverse(Y),multiply(Y,left_inverse(multiply(Y,multiply(left_inverse(left_inverse(multiply(left_inverse(Y),x101))),Y))))),x101) = left_inverse(Y),
inference(cp,[status(thm)],[eq_80,eq_71]) ).
cnf(eq_84,plain,
multiply(left_inverse(multiply(X,Y)),X) = left_inverse(Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_56]),eq_74]),eq_59]),eq_62]) ).
cnf(eq_85,plain,
multiply(left_inverse(X),left_inverse(Y)) = left_inverse(multiply(Y,X)),
inference(rw,[status(thm)],[eq_82,eq_84]) ).
cnf(eq_86,plain,
multiply(left_inverse(X),Y) = left_inverse(multiply(left_inverse(Y),X)),
inference(rw,[status(thm)],[eq_79,eq_84]) ).
cnf(eq_87,plain,
left_inverse(multiply(X,multiply(Y,multiply(X,Z)))) = multiply(left_inverse(Z),left_inverse(multiply(X,multiply(Y,X)))),
inference(cp,[status(thm)],[eq_65,eq_85]) ).
cnf(eq_88,negated_conjecture,
multiply(multiply(left_inverse(multiply(left_inverse(b),left_inverse(a))),c),b) != multiply(a,multiply(b,multiply(c,b))),
inference(cp,[status(thm)],[eq_86,eq_64]) ).
cnf(eq_89,plain,
multiply(multiply(multiply(left_inverse(X),left_inverse(Y)),left_inverse(Z)),left_inverse(Y)) = multiply(left_inverse(X),multiply(left_inverse(Y),multiply(left_inverse(Z),left_inverse(Y)))),
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_87,eq_85]),eq_85]),eq_85]),eq_85]),eq_85]),eq_67]) ).
cnf(eq_90,plain,
multiply(multiply(multiply(left_inverse(x100),left_inverse(left_inverse(X))),left_inverse(x102)),X) = multiply(left_inverse(x100),multiply(left_inverse(left_inverse(X)),multiply(left_inverse(x102),left_inverse(left_inverse(X))))),
inference(cp,[status(thm)],[eq_56,eq_89]) ).
cnf(eq_91,plain,
multiply(multiply(multiply(left_inverse(X),Y),left_inverse(Z)),Y) = multiply(left_inverse(X),multiply(Y,multiply(left_inverse(Z),Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_90,eq_56]),eq_56]),eq_56]) ).
cnf(eq_92,plain,
multiply(multiply(multiply(left_inverse(x100),x101),X),x101) = multiply(left_inverse(x100),multiply(x101,multiply(left_inverse(left_inverse(X)),x101))),
inference(cp,[status(thm)],[eq_56,eq_91]) ).
cnf(eq_93,plain,
multiply(multiply(multiply(left_inverse(X),Y),Z),Y) = multiply(left_inverse(X),multiply(Y,multiply(Z,Y))),
inference(rw,[status(thm)],[eq_92,eq_56]) ).
cnf(eq_94,plain,
multiply(multiply(multiply(X,x101),x102),x101) = multiply(left_inverse(left_inverse(X)),multiply(x101,multiply(x102,x101))),
inference(cp,[status(thm)],[eq_56,eq_93]) ).
cnf(eq_95,plain,
multiply(X,multiply(Y,multiply(Z,Y))) = multiply(multiply(multiply(X,Y),Z),Y),
inference(rw,[status(thm)],[eq_94,eq_56]) ).
cnf(eq_96,negated_conjecture,
multiply(a,multiply(b,multiply(c,b))) != multiply(a,multiply(b,multiply(c,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_85]),eq_56]),eq_56]),eq_95]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 04:24:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 6.75/6.95 % SZS status Unsatisfiable
% 6.75/6.95 % SZS output start CNFRefutation for /tmp/MaedMax_23263
% See solution above
% 6.75/6.96
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