TSTP Solution File: GRP119-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP119-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 07:02:01 EDT 2022
% Result : Unsatisfiable 35.64s 35.88s
% Output : CNFRefutation 35.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 99 ( 99 unt; 0 nHn; 15 RR)
% Number of literals : 99 ( 98 equ; 3 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
Y = multiply(X,multiply(multiply(X,multiply(multiply(X,X),multiply(Y,Z))),multiply(Z,multiply(Z,Z)))),
file('/tmp/MaedMax_12365') ).
cnf(eq_1,axiom,
multiply(identity,identity) = identity,
file('/tmp/MaedMax_12365') ).
cnf(eq_2,negated_conjecture,
multiply(a,multiply(a,multiply(a,a))) != identity,
file('/tmp/MaedMax_12365') ).
cnf(eq_3,plain,
multiply(x100,multiply(multiply(x100,Y),multiply(multiply(Z,multiply(Z,Z)),multiply(multiply(Z,multiply(Z,Z)),multiply(Z,multiply(Z,Z)))))) = multiply(multiply(x100,x100),multiply(multiply(multiply(x100,x100),multiply(x100,x100)),multiply(Y,Z))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(x101,x102))),multiply(x102,multiply(x102,x102)))) = x101,
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_5,plain,
multiply(x100,multiply(multiply(x100,multiply(multiply(x100,x100),identity)),multiply(identity,multiply(identity,identity)))) = identity,
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
multiply(x100,multiply(multiply(x100,multiply(multiply(x100,x100),multiply(x101,identity))),multiply(identity,identity))) = x101,
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_7,plain,
Y = multiply(X,multiply(multiply(X,multiply(multiply(X,X),multiply(Y,identity))),identity)),
inference(rw,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_8,plain,
Y = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,multiply(X,X)))),
eq_4 ).
cnf(eq_9,plain,
multiply(Y,multiply(multiply(Y,X),multiply(multiply(Z,multiply(Z,Z)),multiply(multiply(Z,multiply(Z,Z)),multiply(Z,multiply(Z,Z)))))) = multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(X,Z))),
eq_3 ).
cnf(eq_10,plain,
multiply(identity,multiply(identity,multiply(multiply(x102,multiply(x102,x102)),multiply(multiply(x102,multiply(x102,x102)),multiply(x102,multiply(x102,x102)))))) = multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,x102))),
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(eq_11,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X,
inference(cp,[status(thm)],[eq_9,eq_7]) ).
cnf(eq_12,plain,
multiply(x100,multiply(multiply(x100,Y),identity)) = multiply(multiply(x100,x100),multiply(multiply(multiply(x100,x100),multiply(x100,x100)),multiply(Y,identity))),
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_13,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(x101,identity))),identity)) = x101,
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_14,plain,
multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(x100,multiply(Z,multiply(Z,Z)))),Z))) = x100,
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_15,plain,
multiply(identity,multiply(multiply(identity,Y),multiply(multiply(X,multiply(X,X)),multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,X)))))) = multiply(identity,multiply(identity,multiply(Y,X))),
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_16,plain,
multiply(identity,multiply(multiply(identity,Y),multiply(identity,multiply(identity,identity)))) = multiply(identity,multiply(multiply(identity,identity),multiply(Y,identity))),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_17,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(x100,identity))),multiply(identity,identity))) = x100,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_18,plain,
Y = multiply(X,multiply(multiply(X,multiply(multiply(X,X),multiply(Y,identity))),multiply(identity,identity))),
eq_6 ).
cnf(eq_19,plain,
Y = multiply(multiply(X,X),multiply(multiply(X,multiply(multiply(X,Y),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)),
eq_11 ).
cnf(eq_20,plain,
multiply(Y,multiply(multiply(Y,X),identity)) = multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(X,identity))),
eq_12 ).
cnf(eq_21,plain,
Y = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,identity))),identity)),
eq_13 ).
cnf(eq_22,plain,
Y = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(Y,identity))),multiply(identity,identity))),
eq_17 ).
cnf(eq_23,plain,
multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),identity)),multiply(identity,multiply(identity,identity)))) = identity,
eq_5 ).
cnf(eq_24,plain,
multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(x100,identity)),identity))) = x100,
inference(cp,[status(thm)],[eq_20,eq_21]) ).
cnf(eq_25,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(identity,identity),multiply(Y,identity))),identity)) = multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(multiply(identity,Y),multiply(identity,multiply(identity,identity))),identity))),
inference(cp,[status(thm)],[eq_16,eq_20]) ).
cnf(eq_26,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),identity)),multiply(identity,identity))) = X,
inference(cp,[status(thm)],[eq_20,eq_18]) ).
cnf(eq_27,plain,
Y = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,identity)),identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_28,plain,
Y = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_29,plain,
Y = multiply(multiply(X,X),multiply(multiply(X,multiply(multiply(X,Y),identity)),identity)),
inference(rw,[status(thm)],[eq_26,eq_1]) ).
cnf(eq_30,plain,
Y = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,Y),identity),identity))),
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_1]),eq_21]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_31,plain,
multiply(identity,multiply(identity,multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,multiply(Y,Y)))))) = multiply(identity,multiply(identity,multiply(identity,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_32,plain,
multiply(multiply(X,X),multiply(multiply(X,multiply(Y,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = multiply(multiply(X,multiply(multiply(X,X),multiply(Y,Z))),multiply(Z,multiply(Z,Z))),
inference(cp,[status(thm)],[eq_0,eq_19]) ).
cnf(eq_33,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = multiply(multiply(Y,multiply(multiply(Y,Y),identity)),multiply(identity,multiply(identity,identity))),
inference(cp,[status(thm)],[eq_23,eq_19]) ).
cnf(eq_34,plain,
multiply(identity,multiply(Y,multiply(identity,identity))) = multiply(multiply(identity,Y),identity),
inference(cp,[status(thm)],[eq_30,eq_22]) ).
cnf(eq_35,plain,
multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,multiply(X,X))),
inference(cp,[status(thm)],[eq_8,eq_30]) ).
cnf(eq_36,plain,
multiply(identity,multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(x100,identity),identity)))) = x100,
inference(cp,[status(thm)],[eq_20,eq_27]) ).
cnf(eq_37,plain,
multiply(multiply(identity,Y),identity) = multiply(identity,multiply(Y,identity)),
inference(rw,[status(thm)],[eq_34,eq_1]) ).
cnf(eq_38,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,multiply(X,identity)),identity)) = multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_39,plain,
multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,multiply(X,X))) = multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))),
eq_35 ).
cnf(eq_40,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)) = multiply(multiply(Y,multiply(multiply(Y,Y),identity)),identity),
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_33,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_41,plain,
Y = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_42,plain,
multiply(Y,identity) = multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X)),identity)),
inference(cp,[status(thm)],[eq_28,eq_37]) ).
cnf(eq_43,plain,
multiply(Y,identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,multiply(X,X))),identity)),
inference(cp,[status(thm)],[eq_8,eq_37]) ).
cnf(eq_44,plain,
multiply(Y,identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X),identity))),
inference(rw,[status(thm)],[eq_42,eq_37]) ).
cnf(eq_45,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity))) = Y,
inference(cp,[status(thm)],[eq_40,eq_29]) ).
cnf(eq_46,plain,
multiply(multiply(Y,identity),identity) = multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(Y,X))),multiply(X,multiply(X,X))),identity),identity)),
inference(cp,[status(thm)],[eq_43,eq_37]) ).
cnf(eq_47,plain,
multiply(identity,multiply(multiply(Y,identity),multiply(identity,multiply(identity,identity)))) = multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X),
inference(cp,[status(thm)],[eq_44,eq_8]) ).
cnf(eq_48,plain,
multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X) = multiply(identity,multiply(multiply(Y,identity),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_1]),eq_1]) ).
cnf(eq_49,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,multiply(Y,Y)))))),identity)),identity)) = multiply(identity,multiply(identity,Y)),
inference(cp,[status(thm)],[eq_31,eq_29]) ).
cnf(eq_50,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,multiply(X,multiply(X,X)))),X))),multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity)))) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))),
inference(cp,[status(thm)],[eq_48,eq_39]) ).
cnf(eq_51,plain,
multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(multiply(identity,multiply(identity,multiply(identity,x101))),multiply(x101,multiply(x101,x101))),
inference(cp,[status(thm)],[eq_1,eq_35]) ).
cnf(eq_52,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(Y,identity)),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,Y),x101))),multiply(x101,multiply(x101,x101))),
inference(cp,[status(thm)],[eq_37,eq_35]) ).
cnf(eq_53,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,Y))),multiply(Y,multiply(Y,Y))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_1]),eq_1]),eq_1]) ).
cnf(eq_54,plain,
Y = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,Y),X))),multiply(X,multiply(X,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_37]),eq_41]) ).
cnf(eq_55,plain,
multiply(Y,multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity)))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_28]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_56,plain,
multiply(identity,multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,multiply(Y,Y))))) = multiply(identity,multiply(identity,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)],[inference(rw,[status(thm)],[eq_49,eq_1]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_41]) ).
cnf(eq_57,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),multiply(identity,multiply(identity,multiply(identity,Y)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),multiply(identity,identity)),identity)) = multiply(Y,multiply(Y,Y)),
inference(cp,[status(thm)],[eq_53,eq_29]) ).
cnf(eq_58,plain,
multiply(Y,multiply(Y,Y)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,Y))),multiply(identity,multiply(identity,multiply(identity,Y)))),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_1]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_41]) ).
cnf(eq_59,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,multiply(identity,identity)),identity)) = multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity))),
inference(cp,[status(thm)],[eq_55,eq_29]) ).
cnf(eq_60,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)) = multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity))),
inference(rw,[status(thm)],[eq_59,eq_1]) ).
cnf(eq_61,plain,
multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,x101),Z))),multiply(Z,multiply(Z,Z))) = x101,
inference(cp,[status(thm)],[eq_38,eq_29]) ).
cnf(eq_62,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X,identity)),identity)))),multiply(multiply(Z,multiply(Z,Z)),multiply(multiply(Z,multiply(Z,Z)),multiply(Z,multiply(Z,Z))))) = multiply(multiply(identity,identity),multiply(X,Z)),
inference(cp,[status(thm)],[eq_38,eq_54]) ).
cnf(eq_63,plain,
Y = multiply(multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),Z))),multiply(Z,multiply(Z,Z))),
eq_61 ).
cnf(eq_64,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Y)),identity)),identity)) = multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,multiply(Y,Y)))),
inference(cp,[status(thm)],[eq_56,eq_29]) ).
cnf(eq_65,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,Y)),multiply(multiply(Z,multiply(Z,Z)),multiply(multiply(Z,multiply(Z,Z)),multiply(Z,multiply(Z,Z)))))) = multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),Z))),
inference(cp,[status(thm)],[eq_63,eq_8]) ).
cnf(eq_66,plain,
multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,X),Z))) = multiply(identity,multiply(identity,multiply(multiply(identity,X),Z))),
inference(rw,[status(thm)],[eq_65,eq_15]) ).
cnf(eq_67,plain,
multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,multiply(Y,Y)))) = multiply(identity,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)],[inference(rw,[status(thm)],[eq_64,eq_1]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_41]) ).
cnf(eq_68,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity)))) = multiply(x102,multiply(multiply(x102,x102),multiply(multiply(x102,multiply(Y,multiply(X,multiply(X,X)))),X))),
inference(cp,[status(thm)],[eq_48,eq_66]) ).
cnf(eq_69,plain,
multiply(identity,multiply(identity,multiply(identity,x101))) = multiply(x102,multiply(multiply(x102,x102),multiply(multiply(x102,identity),x101))),
inference(cp,[status(thm)],[eq_1,eq_66]) ).
cnf(eq_70,plain,
multiply(multiply(identity,Y),multiply(identity,X)) = multiply(identity,multiply(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_1]),eq_37]),eq_67]),eq_41]),eq_1]) ).
cnf(eq_71,plain,
Y = multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))),Z))),
inference(rw,[status(thm)],[eq_68,eq_41]) ).
cnf(eq_72,plain,
multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,identity),X))) = multiply(identity,multiply(identity,multiply(identity,X))),
eq_69 ).
cnf(eq_73,plain,
multiply(multiply(identity,x100),Y) = multiply(identity,multiply(x100,multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))))),
inference(cp,[status(thm)],[eq_41,eq_70]) ).
cnf(eq_74,plain,
multiply(multiply(identity,Y),X) = multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(multiply(X,identity),identity))))),
eq_73 ).
cnf(eq_75,plain,
multiply(Y,multiply(Y,Y)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Y,Y)))),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_70]),eq_70]),eq_70]) ).
cnf(eq_76,plain,
multiply(Y,multiply(multiply(Y,Y),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(Y,identity))))),multiply(Y,identity)))) = multiply(Y,Y),
inference(cp,[status(thm)],[eq_72,eq_71]) ).
cnf(eq_77,plain,
identity = multiply(identity,multiply(multiply(identity,multiply(identity,Y)),multiply(identity,multiply(identity,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity))))),
inference(cp,[status(thm)],[eq_53,eq_74]) ).
cnf(eq_78,plain,
multiply(Y,x101) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(Y,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(x101,identity),identity))))),
inference(cp,[status(thm)],[eq_41,eq_74]) ).
cnf(eq_79,plain,
multiply(Y,X) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(Y,identity),identity),multiply(multiply(X,identity),identity))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_70]),eq_70]) ).
cnf(eq_80,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(Y,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity))))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_70]),eq_70]) ).
cnf(eq_81,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(identity,multiply(identity,multiply(Y,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity)))),
inference(cp,[status(thm)],[eq_80,eq_29]) ).
cnf(eq_82,plain,
multiply(Y,Y) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(Y,identity))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_75]),eq_72]) ).
cnf(eq_83,plain,
multiply(identity,multiply(identity,multiply(Y,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity)))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_84,plain,
multiply(identity,identity) = multiply(identity,multiply(multiply(identity,multiply(Y,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity))),identity)),
inference(cp,[status(thm)],[eq_83,eq_37]) ).
cnf(eq_85,plain,
multiply(multiply(Y,Y),multiply(Y,identity)) = multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity))),
inference(cp,[status(thm)],[eq_82,eq_75]) ).
cnf(eq_86,plain,
multiply(identity,multiply(identity,multiply(multiply(Y,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity)),identity))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_84,eq_1]),eq_37]) ).
cnf(eq_87,plain,
multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity))))),multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity)))) = Y,
inference(cp,[status(thm)],[eq_85,eq_63]) ).
cnf(eq_88,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,identity))),identity),identity)) = multiply(multiply(multiply(Y,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity)),identity),identity),
inference(cp,[status(thm)],[eq_86,eq_46]) ).
cnf(eq_89,plain,
multiply(multiply(multiply(Y,multiply(multiply(multiply(Y,multiply(Y,Y)),identity),identity)),identity),identity) = identity,
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_88,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_90,plain,
Y = multiply(multiply(Y,Y),multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_72]),eq_82]) ).
cnf(eq_91,plain,
multiply(X,X) = multiply(multiply(X,identity),multiply(X,identity)),
inference(cp,[status(thm)],[eq_79,eq_82]) ).
cnf(eq_92,plain,
multiply(Y,Y) = multiply(multiply(Y,identity),multiply(Y,identity)),
eq_91 ).
cnf(eq_93,plain,
multiply(multiply(Y,Y),multiply(multiply(multiply(Y,identity),identity),multiply(multiply(multiply(Y,identity),identity),multiply(multiply(Y,identity),identity)))) = multiply(Y,identity),
inference(cp,[status(thm)],[eq_92,eq_90]) ).
cnf(eq_94,plain,
Y = multiply(Y,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_60]),eq_45]) ).
cnf(eq_95,plain,
multiply(Y,multiply(Y,multiply(Y,Y))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_94]),eq_94]),eq_94]),eq_94]) ).
cnf(eq_96,negated_conjecture,
multiply(Y,multiply(Y,multiply(Y,Y))) != multiply(a,multiply(a,multiply(a,a))),
inference(cp,[status(thm)],[eq_95,eq_2]) ).
cnf(eq_97,negated_conjecture,
multiply(Y,multiply(Y,multiply(Y,Y))) != multiply(Y,multiply(Y,multiply(Y,Y))),
eq_96 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP119-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n021.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 04:13:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 35.64/35.88 % SZS status Unsatisfiable
% 35.64/35.88 % SZS output start CNFRefutation for /tmp/MaedMax_12365
% See solution above
% 35.64/35.88
%------------------------------------------------------------------------------