%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO024-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 06:57:48 EDT 2022
% Result : Unsatisfiable 1.06s 1.30s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 7
% Syntax : Number of clauses : 114 ( 114 unt; 0 nHn; 17 RR)
% Number of literals : 114 ( 113 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 155 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(add(Y,X),X),
file('/tmp/MaedMax_16134') ).
cnf(eq_1,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(Y,add(X,Z)),
file('/tmp/MaedMax_16134') ).
cnf(eq_2,axiom,
add(X,inverse(X)) = n1,
file('/tmp/MaedMax_16134') ).
cnf(eq_3,axiom,
add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = pixley(X,Y,Z),
file('/tmp/MaedMax_16134') ).
cnf(eq_4,axiom,
X = pixley(Y,Y,X),
file('/tmp/MaedMax_16134') ).
cnf(eq_5,axiom,
X = pixley(X,Y,Y),
file('/tmp/MaedMax_16134') ).
cnf(eq_6,negated_conjecture,
add(multiply(a,b),b) != b,
file('/tmp/MaedMax_16134') ).
cnf(eq_7,plain,
add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) = pixley(X,Y,Z),
inference(rw,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_8,plain,
add(X,multiply(x102,X)) = multiply(X,add(add(Y,X),x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_9,plain,
add(multiply(x100,X),X) = multiply(X,add(x100,add(Y,X))),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_10,plain,
multiply(multiply(Y,add(X,Z)),multiply(Z,Y)) = multiply(Z,Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_11,plain,
multiply(n1,inverse(X)) = inverse(X),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_12,plain,
multiply(X,Y) = multiply(multiply(Y,add(Z,X)),multiply(X,Y)),
eq_10 ).
cnf(eq_13,plain,
add(multiply(X,Y),Y) = multiply(Y,add(X,add(Z,Y))),
eq_9 ).
cnf(eq_14,plain,
add(X,multiply(Y,X)) = multiply(X,add(add(Z,X),Y)),
eq_8 ).
cnf(eq_15,plain,
add(multiply(Y,inverse(Y)),multiply(Z,add(Y,inverse(Y)))) = Z,
inference(cp,[status(thm)],[eq_7,eq_4]) ).
cnf(eq_16,plain,
add(multiply(x100,inverse(X)),inverse(X)) = multiply(inverse(X),add(x100,n1)),
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_17,plain,
add(inverse(X),multiply(x102,add(n1,inverse(X)))) = pixley(n1,X,x102),
inference(cp,[status(thm)],[eq_11,eq_7]) ).
cnf(eq_18,plain,
multiply(x100,n1) = add(x100,multiply(inverse(add(x101,x100)),x100)),
inference(cp,[status(thm)],[eq_2,eq_14]) ).
cnf(eq_19,plain,
multiply(inverse(X),add(n1,x102)) = add(inverse(X),multiply(x102,inverse(X))),
inference(cp,[status(thm)],[eq_2,eq_14]) ).
cnf(eq_20,plain,
multiply(add(x101,x102),multiply(x102,add(Y,add(x101,x102)))) = multiply(x102,add(Y,add(x101,x102))),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_21,plain,
multiply(multiply(x100,n1),multiply(inverse(X),x100)) = multiply(inverse(X),x100),
inference(cp,[status(thm)],[eq_2,eq_12]) ).
cnf(eq_22,plain,
multiply(multiply(X,add(x101,add(Y,X))),X) = multiply(add(Y,X),X),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_23,plain,
X = add(multiply(X,inverse(Y)),multiply(Y,add(X,inverse(Y)))),
inference(cp,[status(thm)],[eq_5,eq_7]) ).
cnf(eq_24,plain,
X = multiply(multiply(X,add(Y,add(Z,X))),X),
inference(rw,[status(thm)],[eq_22,eq_0]) ).
cnf(eq_25,plain,
add(inverse(X),multiply(Y,inverse(X))) = multiply(inverse(X),add(n1,Y)),
eq_19 ).
cnf(eq_26,plain,
add(inverse(X),multiply(Y,add(n1,inverse(X)))) = pixley(n1,X,Y),
eq_17 ).
cnf(eq_27,plain,
X = add(multiply(Y,inverse(Y)),multiply(X,n1)),
inference(rw,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_28,plain,
add(X,multiply(inverse(add(Y,X)),X)) = multiply(X,n1),
eq_18 ).
cnf(eq_29,plain,
multiply(multiply(X,n1),multiply(inverse(Y),X)) = multiply(inverse(Y),X),
eq_21 ).
cnf(eq_30,plain,
add(inverse(n1),multiply(x101,n1)) = x101,
inference(cp,[status(thm)],[eq_11,eq_27]) ).
cnf(eq_31,plain,
add(multiply(x100,inverse(x100)),n1) = add(Y,n1),
inference(cp,[status(thm)],[eq_0,eq_27]) ).
cnf(eq_32,plain,
multiply(X,multiply(X,n1)) = multiply(X,n1),
inference(cp,[status(thm)],[eq_27,eq_0]) ).
cnf(eq_33,plain,
multiply(multiply(x100,X),multiply(multiply(X,n1),x100)) = multiply(multiply(X,n1),x100),
inference(cp,[status(thm)],[eq_27,eq_12]) ).
cnf(eq_34,plain,
X = add(inverse(n1),multiply(X,n1)),
eq_30 ).
cnf(eq_35,plain,
add(X,n1) = add(multiply(Y,inverse(Y)),n1),
eq_31 ).
cnf(eq_36,plain,
add(multiply(X,Y),Y) = multiply(add(Z,Y),add(multiply(X,Y),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_13]),eq_13]) ).
cnf(eq_37,plain,
multiply(multiply(X,Y),multiply(multiply(Y,n1),X)) = multiply(multiply(Y,n1),X),
eq_33 ).
cnf(eq_38,plain,
add(X,n1) = add(x101,n1),
inference(cp,[status(thm)],[eq_35,eq_35]) ).
cnf(eq_39,plain,
add(X,n1) = add(Y,n1),
eq_38 ).
cnf(eq_40,plain,
multiply(x100,add(Y,n1)) = add(x100,multiply(n1,x100)),
inference(cp,[status(thm)],[eq_39,eq_14]) ).
cnf(eq_41,plain,
add(X,multiply(n1,X)) = multiply(X,add(Y,n1)),
eq_40 ).
cnf(eq_42,plain,
add(inverse(n1),n1) = multiply(n1,add(Y,add(Z,n1))),
inference(cp,[status(thm)],[eq_24,eq_34]) ).
cnf(eq_43,plain,
add(add(x100,add(Y,n1)),multiply(n1,add(x100,add(Y,n1)))) = add(Y,n1),
inference(cp,[status(thm)],[eq_41,eq_0]) ).
cnf(eq_44,plain,
multiply(X,add(Y,n1)) = multiply(X,add(x101,n1)),
inference(cp,[status(thm)],[eq_41,eq_41]) ).
cnf(eq_45,plain,
add(multiply(n1,n1),multiply(n1,n1)) = multiply(multiply(n1,n1),add(x101,n1)),
inference(cp,[status(thm)],[eq_32,eq_41]) ).
cnf(eq_46,plain,
n1 = add(inverse(Y),multiply(Y,add(n1,inverse(Y)))),
inference(cp,[status(thm)],[eq_5,eq_26]) ).
cnf(eq_47,plain,
add(inverse(X),multiply(X,add(n1,inverse(X)))) = n1,
eq_46 ).
cnf(eq_48,plain,
multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)),
inference(rw,[status(thm)],[eq_45,eq_1]) ).
cnf(eq_49,plain,
multiply(X,add(Y,n1)) = multiply(X,add(Z,n1)),
eq_44 ).
cnf(eq_50,plain,
add(X,n1) = add(add(Y,add(X,n1)),multiply(n1,add(Y,add(X,n1)))),
eq_43 ).
cnf(eq_51,plain,
add(inverse(n1),n1) = multiply(n1,add(X,add(Y,n1))),
eq_42 ).
cnf(eq_52,plain,
add(multiply(X,n1),n1) = add(inverse(n1),n1),
inference(rw,[status(thm)],[eq_51,eq_13]) ).
cnf(eq_53,plain,
add(multiply(x100,add(X,n1)),multiply(n1,add(n1,n1))) = multiply(add(X,n1),add(x100,multiply(n1,n1))),
inference(cp,[status(thm)],[eq_48,eq_1]) ).
cnf(eq_54,plain,
add(n1,n1) = add(inverse(n1),n1),
inference(cp,[status(thm)],[eq_0,eq_52]) ).
cnf(eq_55,plain,
add(inverse(n1),n1) = add(n1,n1),
eq_54 ).
cnf(eq_56,plain,
add(X,n1) = add(add(Y,add(X,n1)),add(inverse(n1),n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_13]),eq_52]) ).
cnf(eq_57,plain,
add(X,n1) = add(add(Y,add(X,n1)),add(n1,n1)),
inference(rw,[status(thm)],[eq_56,eq_55]) ).
cnf(eq_58,plain,
add(multiply(X,n1),n1) = add(n1,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_55]),eq_13]) ).
cnf(eq_59,plain,
multiply(add(x100,X),add(X,X)) = add(multiply(add(Y,X),X),X),
inference(cp,[status(thm)],[eq_0,eq_36]) ).
cnf(eq_60,plain,
add(X,X) = multiply(add(Y,X),add(X,X)),
inference(rw,[status(thm)],[eq_59,eq_0]) ).
cnf(eq_61,plain,
add(n1,n1) = multiply(add(Y,n1),add(x102,n1)),
inference(cp,[status(thm)],[eq_60,eq_49]) ).
cnf(eq_62,plain,
add(n1,n1) = multiply(add(X,n1),add(Y,n1)),
eq_61 ).
cnf(eq_63,plain,
multiply(n1,add(X,n1)) = add(multiply(add(Y,add(X,n1)),n1),n1),
inference(cp,[status(thm)],[eq_57,eq_13]) ).
cnf(eq_64,plain,
add(n1,n1) = multiply(n1,add(X,n1)),
inference(rw,[status(thm)],[eq_63,eq_58]) ).
cnf(eq_65,plain,
add(multiply(x100,add(X,n1)),add(n1,n1)) = multiply(add(X,n1),add(x100,n1)),
inference(cp,[status(thm)],[eq_64,eq_1]) ).
cnf(eq_66,plain,
add(multiply(X,add(Y,n1)),add(n1,n1)) = add(n1,n1),
inference(rw,[status(thm)],[eq_65,eq_62]) ).
cnf(eq_67,plain,
add(n1,n1) = multiply(add(X,n1),add(Y,multiply(n1,n1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_64]),eq_66]) ).
cnf(eq_68,plain,
multiply(add(x100,n1),n1) = add(n1,n1),
inference(cp,[status(thm)],[eq_27,eq_67]) ).
cnf(eq_69,plain,
add(n1,n1) = n1,
inference(rw,[status(thm)],[eq_68,eq_0]) ).
cnf(eq_70,plain,
multiply(n1,n1) = n1,
inference(cp,[status(thm)],[eq_69,eq_0]) ).
cnf(eq_71,plain,
multiply(x100,n1) = add(x100,multiply(n1,x100)),
inference(cp,[status(thm)],[eq_69,eq_41]) ).
cnf(eq_72,plain,
add(X,multiply(n1,X)) = multiply(X,n1),
eq_71 ).
cnf(eq_73,plain,
multiply(X,add(Y,n1)) = multiply(X,n1),
inference(cp,[status(thm)],[eq_41,eq_72]) ).
cnf(eq_74,plain,
add(inverse(X),inverse(X)) = multiply(inverse(X),n1),
inference(cp,[status(thm)],[eq_11,eq_72]) ).
cnf(eq_75,plain,
add(multiply(x100,inverse(x100)),n1) = n1,
inference(cp,[status(thm)],[eq_70,eq_27]) ).
cnf(eq_76,plain,
add(multiply(X,inverse(X)),n1) = n1,
eq_75 ).
cnf(eq_77,plain,
add(multiply(X,inverse(Y)),inverse(Y)) = multiply(inverse(Y),n1),
inference(rw,[status(thm)],[eq_16,eq_73]) ).
cnf(eq_78,plain,
add(X,n1) = n1,
inference(rw,[status(thm)],[eq_31,eq_76]) ).
cnf(eq_79,plain,
add(inverse(n1),add(inverse(X),inverse(X))) = inverse(X),
inference(cp,[status(thm)],[eq_74,eq_34]) ).
cnf(eq_80,plain,
multiply(multiply(inverse(X),n1),inverse(X)) = inverse(X),
inference(cp,[status(thm)],[eq_74,eq_0]) ).
cnf(eq_81,plain,
add(multiply(x100,inverse(X)),inverse(X)) = multiply(inverse(X),add(x100,multiply(inverse(X),n1))),
inference(cp,[status(thm)],[eq_80,eq_1]) ).
cnf(eq_82,plain,
add(multiply(X,inverse(Y)),inverse(Y)) = multiply(inverse(Y),add(X,multiply(inverse(Y),n1))),
eq_81 ).
cnf(eq_83,plain,
multiply(X,multiply(Y,add(X,inverse(Y)))) = multiply(Y,add(X,inverse(Y))),
inference(cp,[status(thm)],[eq_23,eq_0]) ).
cnf(eq_84,plain,
multiply(X,add(Y,inverse(X))) = multiply(Y,multiply(X,add(Y,inverse(X)))),
eq_83 ).
cnf(eq_85,plain,
add(inverse(X),multiply(inverse(multiply(inverse(X),n1)),inverse(X))) = multiply(inverse(X),n1),
inference(cp,[status(thm)],[eq_74,eq_28]) ).
cnf(eq_86,plain,
multiply(n1,multiply(inverse(x101),n1)) = multiply(inverse(x101),n1),
inference(cp,[status(thm)],[eq_70,eq_29]) ).
cnf(eq_87,plain,
multiply(inverse(X),add(Y,multiply(inverse(X),n1))) = multiply(inverse(X),n1),
inference(rw,[status(thm)],[eq_82,eq_77]) ).
cnf(eq_88,plain,
multiply(inverse(X),n1) = multiply(n1,multiply(inverse(X),n1)),
eq_86 ).
cnf(eq_89,plain,
add(multiply(inverse(X),n1),multiply(inverse(X),n1)) = multiply(multiply(inverse(X),n1),n1),
inference(cp,[status(thm)],[eq_88,eq_72]) ).
cnf(eq_90,plain,
multiply(multiply(inverse(X),n1),n1) = multiply(n1,multiply(inverse(X),n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_1]),eq_74]) ).
cnf(eq_91,plain,
multiply(multiply(inverse(X),n1),n1) = multiply(inverse(X),n1),
inference(rw,[status(thm)],[eq_90,eq_88]) ).
cnf(eq_92,plain,
add(inverse(n1),multiply(inverse(X),n1)) = multiply(inverse(X),n1),
inference(cp,[status(thm)],[eq_91,eq_34]) ).
cnf(eq_93,plain,
multiply(inverse(X),n1) = inverse(X),
inference(rw,[status(thm)],[eq_92,eq_34]) ).
cnf(eq_94,plain,
add(inverse(X),inverse(X)) = inverse(X),
inference(rw,[status(thm)],[eq_74,eq_93]) ).
cnf(eq_95,plain,
add(multiply(X,inverse(Y)),inverse(Y)) = inverse(Y),
inference(rw,[status(thm)],[eq_77,eq_93]) ).
cnf(eq_96,plain,
multiply(inverse(X),add(Y,inverse(X))) = inverse(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_93]),eq_93]) ).
cnf(eq_97,plain,
add(inverse(n1),inverse(X)) = inverse(X),
inference(rw,[status(thm)],[eq_79,eq_94]) ).
cnf(eq_98,plain,
multiply(inverse(X),add(n1,inverse(inverse(X)))) = inverse(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_93]),eq_25]),eq_93]) ).
cnf(eq_99,plain,
inverse(inverse(n1)) = n1,
inference(cp,[status(thm)],[eq_97,eq_2]) ).
cnf(eq_100,plain,
multiply(inverse(n1),multiply(X,inverse(X))) = multiply(X,add(inverse(n1),inverse(X))),
inference(cp,[status(thm)],[eq_97,eq_84]) ).
cnf(eq_101,plain,
add(multiply(x100,n1),multiply(inverse(n1),add(x100,inverse(inverse(n1))))) = x100,
inference(cp,[status(thm)],[eq_99,eq_23]) ).
cnf(eq_102,plain,
X = add(multiply(X,n1),inverse(n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_99]),eq_78]),eq_93]) ).
cnf(eq_103,plain,
multiply(inverse(n1),X) = inverse(n1),
inference(cp,[status(thm)],[eq_102,eq_96]) ).
cnf(eq_104,plain,
multiply(X,inverse(X)) = inverse(n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_103]),eq_97]) ).
cnf(eq_105,plain,
add(inverse(inverse(X)),inverse(X)) = n1,
inference(cp,[status(thm)],[eq_98,eq_47]) ).
cnf(eq_106,plain,
multiply(inverse(n1),multiply(multiply(inverse(X),n1),X)) = multiply(multiply(inverse(X),n1),X),
inference(cp,[status(thm)],[eq_104,eq_37]) ).
cnf(eq_107,plain,
multiply(inverse(X),X) = inverse(n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_93]),eq_103]),eq_93]) ).
cnf(eq_108,plain,
add(inverse(n1),multiply(x101,add(inverse(inverse(x101)),inverse(x101)))) = inverse(inverse(x101)),
inference(cp,[status(thm)],[eq_107,eq_23]) ).
cnf(eq_109,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_108,eq_105]),eq_34]) ).
cnf(eq_110,plain,
add(multiply(x100,X),inverse(inverse(X))) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_109,eq_95]) ).
cnf(eq_111,plain,
X = add(multiply(Y,X),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_110,eq_109]),eq_109]) ).
cnf(eq_112,negated_conjecture,
b != b,
inference(cp,[status(thm)],[eq_111,eq_6]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : BOO024-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 26 03:23:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.06/1.30 % SZS status Unsatisfiable
% 1.06/1.30 % SZS output start CNFRefutation for /tmp/MaedMax_16134
% See solution above
% 1.06/1.31
%------------------------------------------------------------------------------