TSTP Solution File: BOO015-2 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 06:57:46 EDT 2022
% Result : Unsatisfiable 34.30s 34.52s
% Output : CNFRefutation 34.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of clauses : 114 ( 114 unt; 0 nHn; 44 RR)
% Number of literals : 114 ( 113 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 112 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_11621') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_11621') ).
cnf(eq_2,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/tmp/MaedMax_11621') ).
cnf(eq_3,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_11621') ).
cnf(eq_4,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_11621') ).
cnf(eq_5,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_11621') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_11621') ).
cnf(eq_7,axiom,
add(inverse(X),X) = multiplicative_identity,
file('/tmp/MaedMax_11621') ).
cnf(eq_8,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_11621') ).
cnf(eq_9,axiom,
multiply(inverse(X),X) = additive_identity,
file('/tmp/MaedMax_11621') ).
cnf(eq_10,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_11621') ).
cnf(eq_11,axiom,
X = multiply(multiplicative_identity,X),
file('/tmp/MaedMax_11621') ).
cnf(eq_12,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_11621') ).
cnf(eq_13,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_11621') ).
cnf(eq_14,axiom,
multiply(a,b) = c,
file('/tmp/MaedMax_11621') ).
cnf(eq_15,axiom,
add(inverse(a),inverse(b)) = d,
file('/tmp/MaedMax_11621') ).
cnf(eq_16,negated_conjecture,
inverse(c) != d,
file('/tmp/MaedMax_11621') ).
cnf(eq_17,plain,
add(c,multiply(a,x102)) = multiply(a,add(b,x102)),
inference(cp,[status(thm)],[eq_14,eq_5]) ).
cnf(eq_18,plain,
add(X,multiply(X,x102)) = multiply(X,add(multiplicative_identity,x102)),
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_19,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_20,plain,
add(multiply(X,x101),additive_identity) = multiply(X,add(x101,inverse(X))),
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_21,plain,
add(multiply(inverse(X),x101),additive_identity) = multiply(inverse(X),add(x101,X)),
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_22,plain,
add(X,multiply(x102,X)) = multiply(add(multiplicative_identity,x102),X),
inference(cp,[status(thm)],[eq_11,eq_4]) ).
cnf(eq_23,plain,
add(additive_identity,multiply(x102,inverse(X))) = multiply(add(X,x102),inverse(X)),
inference(cp,[status(thm)],[eq_8,eq_4]) ).
cnf(eq_24,plain,
add(additive_identity,multiply(x102,X)) = multiply(add(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_25,plain,
add(multiply(x100,X),additive_identity) = multiply(add(x100,inverse(X)),X),
inference(cp,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_26,plain,
add(inverse(b),inverse(a)) = d,
inference(cp,[status(thm)],[eq_0,eq_15]) ).
cnf(eq_27,plain,
multiply(multiplicative_identity,add(X,x102)) = add(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_28,plain,
multiply(add(inverse(X),x101),multiplicative_identity) = add(inverse(X),multiply(x101,X)),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_29,plain,
multiply(multiplicative_identity,add(x102,inverse(X))) = add(multiply(X,x102),inverse(X)),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_30,plain,
multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_31,plain,
multiply(add(x100,inverse(X)),multiplicative_identity) = add(multiply(x100,X),inverse(X)),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_32,plain,
multiply(add(x100,X),multiplicative_identity) = add(multiply(x100,inverse(X)),X),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_33,plain,
multiply(b,a) = c,
inference(cp,[status(thm)],[eq_1,eq_14]) ).
cnf(eq_34,plain,
multiply(X,inverse(Y)) = multiply(add(Y,X),inverse(Y)),
inference(rw,[status(thm)],[eq_23,eq_13]) ).
cnf(eq_35,plain,
add(inverse(X),Y) = add(inverse(X),multiply(Y,X)),
inference(rw,[status(thm)],[eq_28,eq_10]) ).
cnf(eq_36,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_20,eq_12]) ).
cnf(eq_37,plain,
add(X,inverse(Y)) = add(multiply(Y,X),inverse(Y)),
inference(rw,[status(thm)],[eq_29,eq_11]) ).
cnf(eq_38,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_19 ).
cnf(eq_39,plain,
add(X,Y) = add(X,multiply(inverse(X),Y)),
inference(rw,[status(thm)],[eq_27,eq_11]) ).
cnf(eq_40,plain,
add(X,inverse(Y)) = add(multiply(X,Y),inverse(Y)),
inference(rw,[status(thm)],[eq_31,eq_10]) ).
cnf(eq_41,plain,
multiply(X,Y) = multiply(add(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_42,plain,
add(X,multiply(X,Y)) = multiply(X,add(multiplicative_identity,Y)),
eq_18 ).
cnf(eq_43,plain,
multiply(X,Y) = multiply(add(X,inverse(Y)),Y),
inference(rw,[status(thm)],[eq_25,eq_12]) ).
cnf(eq_44,plain,
add(c,multiply(a,X)) = multiply(a,add(b,X)),
eq_17 ).
cnf(eq_45,plain,
add(X,Y) = add(multiply(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_30,eq_11]) ).
cnf(eq_46,plain,
add(X,multiply(Y,X)) = multiply(add(multiplicative_identity,Y),X),
eq_22 ).
cnf(eq_47,plain,
add(X,Y) = add(multiply(X,inverse(Y)),Y),
inference(rw,[status(thm)],[eq_32,eq_10]) ).
cnf(eq_48,plain,
multiply(inverse(X),Y) = multiply(inverse(X),add(Y,X)),
inference(rw,[status(thm)],[eq_21,eq_12]) ).
cnf(eq_49,negated_conjecture,
add(inverse(a),inverse(b)) != inverse(c),
inference(rw,[status(thm)],[eq_16,eq_15]) ).
cnf(eq_50,plain,
add(X,Y) = add(multiply(inverse(X),Y),X),
inference(cp,[status(thm)],[eq_0,eq_45]) ).
cnf(eq_51,plain,
add(X,additive_identity) = add(X,X),
inference(cp,[status(thm)],[eq_9,eq_39]) ).
cnf(eq_52,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_10,eq_39]) ).
cnf(eq_53,plain,
add(multiply(inverse(X),Y),X) = add(add(Y,X),X),
inference(cp,[status(thm)],[eq_48,eq_45]) ).
cnf(eq_54,plain,
add(inverse(x100),x100) = add(multiplicative_identity,x100),
inference(cp,[status(thm)],[eq_10,eq_45]) ).
cnf(eq_55,plain,
add(additive_identity,x100) = add(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_8,eq_45]) ).
cnf(eq_56,plain,
multiply(multiplicative_identity,x100) = multiply(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_6,eq_41]) ).
cnf(eq_57,plain,
X = add(X,X),
inference(rw,[status(thm)],[eq_51,eq_12]) ).
cnf(eq_58,plain,
X = add(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_55,eq_13]) ).
cnf(eq_59,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_54,eq_7]) ).
cnf(eq_60,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_52,eq_6]) ).
cnf(eq_61,plain,
X = multiply(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_56,eq_11]) ).
cnf(eq_62,plain,
add(add(X,Y),Y) = add(multiply(inverse(Y),X),Y),
eq_53 ).
cnf(eq_63,negated_conjecture,
inverse(multiply(b,a)) != add(inverse(a),inverse(b)),
inference(cp,[status(thm)],[eq_33,eq_49]) ).
cnf(eq_64,plain,
add(X,multiply(Y,X)) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_59]),eq_11]) ).
cnf(eq_65,plain,
multiply(add(X,x101),X) = add(X,multiply(x101,X)),
inference(cp,[status(thm)],[eq_57,eq_3]) ).
cnf(eq_66,plain,
multiply(d,b) = multiply(inverse(a),b),
inference(cp,[status(thm)],[eq_15,eq_43]) ).
cnf(eq_67,plain,
multiply(multiply(inverse(x100),add(multiplicative_identity,Y)),x100) = multiply(multiply(inverse(x100),Y),x100),
inference(cp,[status(thm)],[eq_42,eq_41]) ).
cnf(eq_68,plain,
multiply(inverse(a),b) = multiply(d,b),
eq_66 ).
cnf(eq_69,plain,
X = multiply(add(X,Y),X),
inference(rw,[status(thm)],[eq_65,eq_64]) ).
cnf(eq_70,plain,
multiply(multiply(inverse(X),Y),X) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_59]),eq_10]),eq_9]) ).
cnf(eq_71,plain,
add(inverse(inverse(X)),X) = multiply(inverse(inverse(X)),add(multiplicative_identity,X)),
inference(cp,[status(thm)],[eq_61,eq_42]) ).
cnf(eq_72,plain,
multiply(d,inverse(b)) = inverse(b),
inference(cp,[status(thm)],[eq_26,eq_69]) ).
cnf(eq_73,plain,
multiply(d,inverse(a)) = inverse(a),
inference(cp,[status(thm)],[eq_15,eq_69]) ).
cnf(eq_74,plain,
add(inverse(b),d) = multiply(d,add(inverse(b),multiplicative_identity)),
inference(cp,[status(thm)],[eq_72,eq_38]) ).
cnf(eq_75,plain,
add(inverse(a),a) = add(d,a),
inference(cp,[status(thm)],[eq_73,eq_47]) ).
cnf(eq_76,plain,
multiply(Y,add(X,inverse(Y))) = multiply(Y,multiply(X,Y)),
inference(cp,[status(thm)],[eq_40,eq_36]) ).
cnf(eq_77,plain,
multiply(multiply(X,add(Y,multiplicative_identity)),multiply(X,Y)) = multiply(X,Y),
inference(cp,[status(thm)],[eq_38,eq_69]) ).
cnf(eq_78,plain,
multiply(add(x100,inverse(Y)),add(X,inverse(Y))) = add(multiply(x100,multiply(Y,X)),inverse(Y)),
inference(cp,[status(thm)],[eq_37,eq_2]) ).
cnf(eq_79,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_58]),eq_59]),eq_10]) ).
cnf(eq_80,plain,
multiply(X,Y) = multiply(X,multiply(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_60]),eq_10]) ).
cnf(eq_81,plain,
multiply(X,Y) = multiply(X,multiply(Y,X)),
inference(rw,[status(thm)],[eq_76,eq_36]) ).
cnf(eq_82,plain,
add(d,a) = multiplicative_identity,
inference(rw,[status(thm)],[eq_75,eq_7]) ).
cnf(eq_83,plain,
add(inverse(b),d) = d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_60]),eq_10]) ).
cnf(eq_84,plain,
add(multiply(X,Y),inverse(Z)) = add(multiply(X,multiply(Z,Y)),inverse(Z)),
inference(rw,[status(thm)],[eq_78,eq_2]) ).
cnf(eq_85,plain,
multiply(inverse(d),d) = multiply(inverse(d),inverse(b)),
inference(cp,[status(thm)],[eq_83,eq_48]) ).
cnf(eq_86,plain,
multiply(inverse(d),inverse(b)) = additive_identity,
inference(rw,[status(thm)],[eq_85,eq_9]) ).
cnf(eq_87,plain,
multiply(multiplicative_identity,inverse(d)) = multiply(a,inverse(d)),
inference(cp,[status(thm)],[eq_82,eq_34]) ).
cnf(eq_88,plain,
multiply(a,inverse(d)) = inverse(d),
inference(rw,[status(thm)],[eq_87,eq_11]) ).
cnf(eq_89,plain,
add(inverse(inverse(b)),additive_identity) = add(inverse(inverse(b)),inverse(d)),
inference(cp,[status(thm)],[eq_86,eq_35]) ).
cnf(eq_90,plain,
add(b,inverse(d)) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_79]),eq_12]),eq_79]) ).
cnf(eq_91,plain,
add(c,inverse(d)) = multiply(a,add(b,inverse(d))),
inference(cp,[status(thm)],[eq_88,eq_44]) ).
cnf(eq_92,plain,
add(c,inverse(d)) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_90]),eq_14]) ).
cnf(eq_93,plain,
multiply(c,inverse(c)) = multiply(inverse(d),inverse(c)),
inference(cp,[status(thm)],[eq_92,eq_34]) ).
cnf(eq_94,plain,
multiply(multiply(d,b),a) = additive_identity,
inference(cp,[status(thm)],[eq_68,eq_70]) ).
cnf(eq_95,plain,
multiply(inverse(d),inverse(c)) = additive_identity,
inference(rw,[status(thm)],[eq_93,eq_8]) ).
cnf(eq_96,plain,
add(additive_identity,d) = add(d,inverse(c)),
inference(cp,[status(thm)],[eq_95,eq_50]) ).
cnf(eq_97,plain,
multiply(a,multiply(d,b)) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_94]) ).
cnf(eq_98,plain,
add(d,inverse(c)) = d,
inference(rw,[status(thm)],[eq_96,eq_13]) ).
cnf(eq_99,plain,
multiply(add(multiply(inverse(Y),X),Y),inverse(add(X,Y))) = multiply(Y,inverse(add(X,Y))),
inference(cp,[status(thm)],[eq_62,eq_34]) ).
cnf(eq_100,plain,
multiply(X,inverse(add(Y,X))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_99,eq_45]),eq_8]) ).
cnf(eq_101,plain,
add(d,inverse(multiply(b,a))) = d,
inference(rw,[status(thm)],[eq_98,eq_33]) ).
cnf(eq_102,plain,
multiply(a,b) = multiply(b,a),
inference(rw,[status(thm)],[eq_14,eq_33]) ).
cnf(eq_103,plain,
multiply(X,inverse(add(X,Y))) = additive_identity,
inference(cp,[status(thm)],[eq_50,eq_100]) ).
cnf(eq_104,plain,
add(additive_identity,inverse(X)) = add(inverse(add(X,Y)),inverse(X)),
inference(cp,[status(thm)],[eq_103,eq_37]) ).
cnf(eq_105,plain,
add(inverse(add(X,Y)),inverse(X)) = inverse(X),
inference(rw,[status(thm)],[eq_104,eq_13]) ).
cnf(eq_106,negated_conjecture,
inverse(multiply(b,multiply(a,b))) != add(inverse(a),inverse(b)),
inference(cp,[status(thm)],[eq_81,eq_63]) ).
cnf(eq_107,negated_conjecture,
inverse(multiply(b,multiply(b,a))) != d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_102]),eq_15]) ).
cnf(eq_108,plain,
add(additive_identity,inverse(d)) = add(multiply(a,b),inverse(d)),
inference(cp,[status(thm)],[eq_97,eq_84]) ).
cnf(eq_109,plain,
add(multiply(b,a),inverse(d)) = inverse(d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_108,eq_13]),eq_102]) ).
cnf(eq_110,plain,
add(inverse(inverse(d)),inverse(multiply(b,a))) = inverse(multiply(b,a)),
inference(cp,[status(thm)],[eq_109,eq_105]) ).
cnf(eq_111,plain,
inverse(multiply(b,a)) = d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_110,eq_79]),eq_101]) ).
cnf(eq_112,negated_conjecture,
d != d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_107,eq_80]),eq_111]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 03:27:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 34.30/34.52 % SZS status Unsatisfiable
% 34.30/34.52 % SZS output start CNFRefutation for /tmp/MaedMax_11621
% See solution above
% 34.30/34.52
%------------------------------------------------------------------------------