TSTP Solution File: GRP122-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP122-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 07:02:02 EDT 2022
% Result : Unsatisfiable 36.54s 36.78s
% Output : CNFRefutation 36.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of clauses : 140 ( 140 unt; 0 nHn; 17 RR)
% Number of literals : 140 ( 139 equ; 4 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 201 ( 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_17148') ).
cnf(eq_1,axiom,
multiply(identity,identity) = identity,
file('/tmp/MaedMax_17148') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/tmp/MaedMax_17148') ).
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(x100,multiply(multiply(x100,multiply(multiply(x100,x100),multiply(identity,multiply(Y,identity)))),identity)) = multiply(identity,Y),
inference(cp,[status(thm)],[eq_37,eq_7]) ).
cnf(eq_43,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_44,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_45,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_43,eq_37]) ).
cnf(eq_46,plain,
multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(identity,multiply(X,identity)))),identity)) = multiply(identity,X),
eq_42 ).
cnf(eq_47,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_48,plain,
multiply(x100,multiply(multiply(x100,multiply(multiply(x100,x100),Y)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(Y,identity)))),
inference(cp,[status(thm)],[eq_7,eq_46]) ).
cnf(eq_49,plain,
multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),X)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X,identity)))),
inference(rw,[status(thm)],[eq_48,eq_1]) ).
cnf(eq_50,plain,
multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),multiply(Y,identity)),identity)) = multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)),
inference(cp,[status(thm)],[eq_47,eq_29]) ).
cnf(eq_51,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_44,eq_37]) ).
cnf(eq_52,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_45,eq_8]) ).
cnf(eq_53,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_52,eq_1]),eq_1]) ).
cnf(eq_54,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_55,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X,identity)))),identity)),identity)) = multiply(multiply(Y,multiply(multiply(Y,Y),X)),identity),
inference(cp,[status(thm)],[eq_49,eq_29]) ).
cnf(eq_56,plain,
multiply(x100,multiply(multiply(x100,multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(x100,x100),multiply(multiply(multiply(x100,x100),multiply(x100,x100)),X)),identity),identity)))),
inference(cp,[status(thm)],[eq_49,eq_49]) ).
cnf(eq_57,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_53,eq_39]) ).
cnf(eq_58,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_59,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_60,plain,
multiply(Y,multiply(multiply(Y,multiply(identity,multiply(identity,multiply(identity,multiply(X,identity))))),identity)) = multiply(multiply(Y,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),X)),
inference(rw,[status(thm)],[eq_56,eq_41]) ).
cnf(eq_61,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_58,eq_1]),eq_1]),eq_1]) ).
cnf(eq_62,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_59,eq_37]),eq_41]) ).
cnf(eq_63,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_57,eq_28]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_64,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_54,eq_1]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_41]) ).
cnf(eq_65,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,X),identity)) = multiply(multiply(Y,multiply(multiply(Y,Y),X)),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_37]),eq_37]),eq_37]),eq_41]) ).
cnf(eq_66,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_61,eq_29]) ).
cnf(eq_67,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_66,eq_1]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_41]) ).
cnf(eq_68,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_63,eq_29]) ).
cnf(eq_69,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_68,eq_1]) ).
cnf(eq_70,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_71,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_62]) ).
cnf(eq_72,plain,
Y = multiply(multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),Z))),multiply(Z,multiply(Z,Z))),
eq_70 ).
cnf(eq_73,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_64,eq_29]) ).
cnf(eq_74,plain,
multiply(multiply(identity,Y),Z) = multiply(identity,multiply(multiply(multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),Z))),identity),identity)),
inference(cp,[status(thm)],[eq_72,eq_53]) ).
cnf(eq_75,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_72,eq_8]) ).
cnf(eq_76,plain,
multiply(multiply(X,multiply(multiply(X,X),Y)),multiply(multiply(Z,multiply(Z,Z)),multiply(multiply(Z,multiply(Z,Z)),multiply(Z,multiply(Z,Z))))) = multiply(multiply(X,X),multiply(multiply(X,Y),Z)),
inference(cp,[status(thm)],[eq_72,eq_72]) ).
cnf(eq_77,plain,
multiply(multiply(x100,multiply(multiply(x100,x100),identity)),multiply(multiply(multiply(multiply(multiply(x100,x101),identity),identity),multiply(multiply(multiply(multiply(x100,x101),identity),identity),multiply(multiply(multiply(x100,x101),identity),identity))),multiply(multiply(multiply(multiply(multiply(x100,x101),identity),identity),multiply(multiply(multiply(multiply(x100,x101),identity),identity),multiply(multiply(multiply(x100,x101),identity),identity))),multiply(multiply(multiply(multiply(x100,x101),identity),identity),multiply(multiply(multiply(multiply(x100,x101),identity),identity),multiply(multiply(multiply(x100,x101),identity),identity)))))) = x101,
inference(cp,[status(thm)],[eq_63,eq_72]) ).
cnf(eq_78,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_75,eq_15]) ).
cnf(eq_79,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_73,eq_1]),eq_37]),eq_37]),eq_37]),eq_37]),eq_37]),eq_41]) ).
cnf(eq_80,plain,
multiply(multiply(identity,Y),X) = multiply(identity,multiply(multiply(multiply(Z,Z),multiply(multiply(Z,multiply(multiply(Z,Y),X)),identity)),identity)),
inference(rw,[status(thm)],[eq_74,eq_65]) ).
cnf(eq_81,plain,
multiply(multiply(x100,multiply(multiply(x100,x100),multiply(multiply(x100,x101),multiply(Y,multiply(Y,Y))))),multiply(identity,Y)) = x101,
inference(cp,[status(thm)],[eq_79,eq_72]) ).
cnf(eq_82,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_53,eq_78]) ).
cnf(eq_83,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_78]) ).
cnf(eq_84,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_71,eq_1]),eq_37]),eq_79]),eq_41]),eq_1]) ).
cnf(eq_85,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,X),Z)) = multiply(multiply(Y,multiply(multiply(Y,Y),X)),multiply(identity,Z)),
inference(rw,[status(thm)],[eq_76,eq_79]) ).
cnf(eq_86,plain,
Y = multiply(multiply(X,multiply(multiply(X,X),identity)),multiply(identity,multiply(multiply(multiply(X,Y),identity),identity))),
inference(rw,[status(thm)],[eq_77,eq_79]) ).
cnf(eq_87,plain,
Y = multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))),Z))),
inference(rw,[status(thm)],[eq_82,eq_41]) ).
cnf(eq_88,plain,
multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,identity),X))) = multiply(identity,multiply(identity,multiply(identity,X))),
eq_83 ).
cnf(eq_89,plain,
Y = multiply(multiply(X,multiply(multiply(X,X),multiply(multiply(X,Y),multiply(Z,multiply(Z,Z))))),multiply(identity,Z)),
eq_81 ).
cnf(eq_90,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_84]) ).
cnf(eq_91,plain,
multiply(multiply(identity,Y),X) = multiply(identity,multiply(Y,multiply(identity,multiply(identity,multiply(multiply(X,identity),identity))))),
eq_90 ).
cnf(eq_92,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_67,eq_84]),eq_84]),eq_84]) ).
cnf(eq_93,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_88,eq_87]) ).
cnf(eq_94,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_61,eq_91]) ).
cnf(eq_95,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_91]) ).
cnf(eq_96,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_95,eq_84]),eq_84]) ).
cnf(eq_97,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_94,eq_84]),eq_84]) ).
cnf(eq_98,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_97,eq_29]) ).
cnf(eq_99,plain,
multiply(multiply(multiply(identity,X),multiply(multiply(identity,multiply(X,X)),identity)),multiply(identity,multiply(multiply(multiply(multiply(identity,X),x101),identity),identity))) = x101,
inference(cp,[status(thm)],[eq_84,eq_86]) ).
cnf(eq_100,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_93,eq_92]),eq_88]) ).
cnf(eq_101,plain,
Y = multiply(identity,multiply(multiply(X,multiply(multiply(X,X),identity)),multiply(multiply(multiply(multiply(identity,X),Y),identity),identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_99,eq_37]),eq_84]),eq_84]) ).
cnf(eq_102,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_98,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_103,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_102,eq_37]) ).
cnf(eq_104,plain,
multiply(multiply(Y,Y),multiply(Y,identity)) = multiply(multiply(Y,identity),multiply(multiply(Y,identity),multiply(Y,identity))),
inference(cp,[status(thm)],[eq_100,eq_92]) ).
cnf(eq_105,plain,
Y = multiply(multiply(X,X),multiply(multiply(X,multiply(multiply(X,Y),multiply(Z,multiply(Z,Z)))),Z)),
inference(cp,[status(thm)],[eq_89,eq_85]) ).
cnf(eq_106,plain,
Y = multiply(multiply(X,X),multiply(multiply(X,identity),multiply(multiply(multiply(X,Y),identity),identity))),
inference(cp,[status(thm)],[eq_86,eq_85]) ).
cnf(eq_107,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_103,eq_1]),eq_37]) ).
cnf(eq_108,plain,
multiply(multiply(Y,Y),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(Y,identity))))),multiply(Y,identity))) = Y,
inference(cp,[status(thm)],[eq_88,eq_105]) ).
cnf(eq_109,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_104,eq_72]) ).
cnf(eq_110,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_107,eq_51]) ).
cnf(eq_111,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_110,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_112,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_109,eq_88]),eq_100]) ).
cnf(eq_113,plain,
Y = multiply(multiply(Y,Y),multiply(multiply(Y,Y),multiply(Y,identity))),
inference(rw,[status(thm)],[eq_108,eq_100]) ).
cnf(eq_114,plain,
multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(multiply(Y,Y),multiply(Y,identity)),identity)) = multiply(multiply(Y,Y),multiply(Y,identity)),
inference(cp,[status(thm)],[eq_113,eq_29]) ).
cnf(eq_115,plain,
multiply(multiply(Y,Y),multiply(Y,identity)) = multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)),
inference(rw,[status(thm)],[eq_114,eq_50]) ).
cnf(eq_116,plain,
multiply(X,X) = multiply(multiply(X,identity),multiply(X,identity)),
inference(cp,[status(thm)],[eq_96,eq_100]) ).
cnf(eq_117,plain,
multiply(Y,Y) = multiply(multiply(Y,identity),multiply(Y,identity)),
eq_116 ).
cnf(eq_118,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_117,eq_112]) ).
cnf(eq_119,plain,
multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity))),identity) = multiply(multiply(Y,Y),multiply(multiply(Y,multiply(Y,identity)),identity)),
inference(cp,[status(thm)],[eq_115,eq_65]) ).
cnf(eq_120,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(Y,identity),multiply(Y,identity))))),Y) = multiply(Y,multiply(Y,Y)),
inference(cp,[status(thm)],[eq_117,eq_92]) ).
cnf(eq_121,plain,
multiply(Y,multiply(Y,Y)) = multiply(multiply(Y,Y),Y),
inference(rw,[status(thm)],[eq_120,eq_100]) ).
cnf(eq_122,plain,
Y = multiply(Y,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_69]),eq_47]) ).
cnf(eq_123,plain,
multiply(multiply(Y,Y),multiply(multiply(Y,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_119,eq_88]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_124,plain,
multiply(multiply(Y,Y),multiply(Y,Y)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_123,eq_122]),eq_122]) ).
cnf(eq_125,plain,
Y = multiply(multiply(X,X),multiply(X,multiply(X,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_122]),eq_122]),eq_122]) ).
cnf(eq_126,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_111,eq_122]),eq_122]),eq_122]),eq_122]) ).
cnf(eq_127,plain,
multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y)))) = Y,
inference(cp,[status(thm)],[eq_121,eq_125]) ).
cnf(eq_128,plain,
Y = multiply(identity,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_127,eq_124]),eq_125]) ).
cnf(eq_129,plain,
multiply(Y,multiply(Y,X)) = multiply(multiply(Y,Y),X),
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_60,eq_122]),eq_128]),eq_128]),eq_128]),eq_122]),eq_124]),eq_128]) ).
cnf(eq_130,plain,
Y = multiply(multiply(X,multiply(X,X)),multiply(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_122]),eq_128]),eq_122]),eq_122]),eq_128]) ).
cnf(eq_131,plain,
Y = multiply(X,multiply(X,multiply(X,multiply(X,Y)))),
inference(cp,[status(thm)],[eq_125,eq_129]) ).
cnf(eq_132,plain,
multiply(Y,multiply(Y,multiply(X,Z))) = multiply(Y,multiply(multiply(Y,X),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_9,eq_130]),eq_130]),eq_129]),eq_126]),eq_128]),eq_129]) ).
cnf(eq_133,plain,
multiply(Y,X) = multiply(Z,multiply(Z,multiply(Z,multiply(multiply(Z,Y),X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_80,eq_128]),eq_122]),eq_129]),eq_122]),eq_128]) ).
cnf(eq_134,plain,
multiply(multiply(Y,multiply(multiply(Y,Y),multiply(multiply(Y,multiply(multiply(Y,X),Z)),x102))),multiply(x102,multiply(x102,x102))) = multiply(Y,multiply(X,Z)),
inference(cp,[status(thm)],[eq_132,eq_72]) ).
cnf(eq_135,plain,
multiply(Y,multiply(X,Z)) = multiply(multiply(Y,X),Z),
inference(rw,[status(thm)],[eq_134,eq_72]) ).
cnf(eq_136,negated_conjecture,
multiply(Z,multiply(Z,multiply(Z,multiply(multiply(Z,multiply(a,b)),c)))) != multiply(a,multiply(b,c)),
inference(cp,[status(thm)],[eq_133,eq_2]) ).
cnf(eq_137,negated_conjecture,
multiply(Y,multiply(Y,multiply(Y,multiply(multiply(Y,multiply(a,b)),c)))) != multiply(a,multiply(b,c)),
eq_136 ).
cnf(eq_138,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_137,eq_135]),eq_135]),eq_131]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP122-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Jul 26 03:40:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 36.54/36.78 % SZS status Unsatisfiable
% 36.54/36.78 % SZS output start CNFRefutation for /tmp/MaedMax_17148
% See solution above
% 36.54/36.78
%------------------------------------------------------------------------------