TSTP Solution File: BOO007-4 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% 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 06:57:43 EDT 2022
% Result : Unsatisfiable 12.17s 12.35s
% Output : CNFRefutation 12.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of clauses : 80 ( 80 unt; 0 nHn; 15 RR)
% Number of literals : 80 ( 79 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 115 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_10792') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_10792') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_10792') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_10792') ).
cnf(eq_4,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_10792') ).
cnf(eq_5,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_10792') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_10792') ).
cnf(eq_7,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_10792') ).
cnf(eq_8,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/tmp/MaedMax_10792') ).
cnf(eq_9,plain,
add(multiply(x100,x102),multiply(x100,x101)) = multiply(x100,add(x101,x102)),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_10,plain,
add(X,multiply(X,x102)) = multiply(X,add(multiplicative_identity,x102)),
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_11,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_12,plain,
add(multiply(X,x101),multiply(Y,X)) = multiply(X,add(x101,Y)),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_13,plain,
add(multiply(X,x101),additive_identity) = multiply(X,add(x101,inverse(X))),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_14,plain,
multiply(multiplicative_identity,X) = X,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_15,plain,
multiply(inverse(X),X) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_16,plain,
multiply(multiplicative_identity,add(X,x102)) = add(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_17,plain,
multiply(add(Y,x101),add(X,Y)) = add(Y,multiply(x101,X)),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_18,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_19,plain,
multiplicative_identity = add(inverse(X),X),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_20,plain,
add(X,multiply(inverse(X),Y)) = multiply(multiplicative_identity,add(X,Y)),
eq_16 ).
cnf(eq_21,plain,
add(inverse(X),X) = multiplicative_identity,
eq_19 ).
cnf(eq_22,plain,
add(X,multiply(X,Y)) = multiply(X,add(multiplicative_identity,Y)),
eq_10 ).
cnf(eq_23,plain,
multiply(X,add(Y,Z)) = multiply(X,add(Z,Y)),
inference(rw,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_24,plain,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(Z,X)),
eq_17 ).
cnf(eq_25,plain,
add(multiply(X,Y),multiply(Z,X)) = multiply(X,add(Y,Z)),
eq_12 ).
cnf(eq_26,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_27,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_11 ).
cnf(eq_28,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_13,eq_4]) ).
cnf(eq_29,negated_conjecture,
multiply(multiply(b,c),a) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_30,plain,
additive_identity = inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_15,eq_5]) ).
cnf(eq_31,plain,
multiply(add(multiply(X,Y),x101),multiply(X,add(Y,multiplicative_identity))) = add(multiply(X,Y),multiply(x101,X)),
inference(cp,[status(thm)],[eq_27,eq_2]) ).
cnf(eq_32,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_14,eq_26]) ).
cnf(eq_33,plain,
add(x100,additive_identity) = add(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_15,eq_26]) ).
cnf(eq_34,plain,
add(x100,inverse(x100)) = multiply(multiplicative_identity,add(x100,multiplicative_identity)),
inference(cp,[status(thm)],[eq_5,eq_20]) ).
cnf(eq_35,plain,
add(X,Y) = add(multiply(Y,inverse(X)),X),
inference(cp,[status(thm)],[eq_26,eq_0]) ).
cnf(eq_36,plain,
add(multiply(Y,X),X) = multiply(X,add(Y,multiplicative_identity)),
inference(cp,[status(thm)],[eq_1,eq_27]) ).
cnf(eq_37,plain,
multiply(X,Y) = multiply(add(Y,inverse(X)),X),
inference(cp,[status(thm)],[eq_28,eq_1]) ).
cnf(eq_38,plain,
multiply(X,multiplicative_identity) = multiply(X,X),
inference(cp,[status(thm)],[eq_6,eq_28]) ).
cnf(eq_39,plain,
multiply(x100,multiplicative_identity) = multiply(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_21,eq_28]) ).
cnf(eq_40,plain,
X = multiply(X,X),
inference(rw,[status(thm)],[eq_38,eq_5]) ).
cnf(eq_41,plain,
multiply(multiplicative_identity,add(X,multiplicative_identity)) = multiplicative_identity,
inference(rw,[status(thm)],[eq_34,eq_6]) ).
cnf(eq_42,plain,
add(multiply(X,Y),Y) = multiply(Y,add(X,multiplicative_identity)),
eq_36 ).
cnf(eq_43,plain,
X = multiply(X,inverse(inverse(X))),
inference(rw,[status(thm)],[eq_39,eq_5]) ).
cnf(eq_44,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_32,eq_6]) ).
cnf(eq_45,plain,
add(multiply(X,Y),X) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_44]),eq_5]) ).
cnf(eq_46,plain,
X = add(X,inverse(multiplicative_identity)),
inference(rw,[status(thm)],[eq_4,eq_30]) ).
cnf(eq_47,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,X)),
inference(cp,[status(thm)],[eq_40,eq_3]) ).
cnf(eq_48,plain,
add(multiply(Y,X),multiply(x102,X)) = multiply(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_1,eq_25]) ).
cnf(eq_49,plain,
multiply(multiply(multiplicative_identity,add(X,Y)),add(x102,X)) = add(X,multiply(multiply(inverse(X),Y),x102)),
inference(cp,[status(thm)],[eq_20,eq_24]) ).
cnf(eq_50,plain,
multiplicative_identity = multiply(multiplicative_identity,add(multiplicative_identity,X)),
inference(cp,[status(thm)],[eq_41,eq_23]) ).
cnf(eq_51,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_50,eq_14]) ).
cnf(eq_52,plain,
add(X,multiply(Y,Z)) = add(X,multiply(multiply(inverse(X),Y),Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_14]),eq_24]) ).
cnf(eq_53,plain,
X = multiply(X,add(Y,X)),
inference(rw,[status(thm)],[eq_47,eq_45]) ).
cnf(eq_54,plain,
X = add(multiply(Y,X),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_44]),eq_5]) ).
cnf(eq_55,plain,
add(multiply(X,Y),multiply(Z,Y)) = multiply(Y,add(X,Z)),
eq_48 ).
cnf(eq_56,plain,
multiply(X,add(Y,Z)) = multiply(add(multiply(X,Y),Z),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_44]),eq_5]),eq_25]) ).
cnf(eq_57,plain,
X = multiply(add(Y,X),X),
inference(cp,[status(thm)],[eq_53,eq_1]) ).
cnf(eq_58,plain,
multiply(multiply(X,add(multiplicative_identity,Y)),multiply(X,Y)) = multiply(X,Y),
inference(cp,[status(thm)],[eq_22,eq_57]) ).
cnf(eq_59,plain,
X = add(X,multiply(Y,X)),
inference(cp,[status(thm)],[eq_54,eq_0]) ).
cnf(eq_60,plain,
multiply(X,Y) = multiply(X,multiply(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_51]),eq_5]) ).
cnf(eq_61,plain,
X = add(X,inverse(inverse(X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_30]),eq_46]) ).
cnf(eq_62,plain,
multiply(X,multiply(Y,X)) = multiply(Y,X),
inference(cp,[status(thm)],[eq_59,eq_57]) ).
cnf(eq_63,plain,
multiply(X,inverse(inverse(X))) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_61,eq_57]) ).
cnf(eq_64,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[eq_63,eq_43]) ).
cnf(eq_65,plain,
multiply(X,Y) = multiply(Y,multiply(X,Y)),
eq_62 ).
cnf(eq_66,plain,
multiply(X,multiply(Y,X)) = multiply(X,Y),
inference(cp,[status(thm)],[eq_1,eq_60]) ).
cnf(eq_67,plain,
multiply(add(inverse(x101),Y),x101) = multiply(x101,multiply(Y,inverse(inverse(x101)))),
inference(cp,[status(thm)],[eq_35,eq_37]) ).
cnf(eq_68,plain,
multiply(X,Y) = multiply(add(inverse(Y),X),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_64]),eq_65]) ).
cnf(eq_69,negated_conjecture,
multiply(add(inverse(a),multiply(b,c)),a) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_68,eq_29]) ).
cnf(eq_70,plain,
multiply(multiply(Y,add(X,Z)),X) = multiply(X,add(Y,multiply(Z,Y))),
inference(cp,[status(thm)],[eq_55,eq_56]) ).
cnf(eq_71,plain,
multiply(X,Y) = multiply(multiply(Y,add(X,Z)),X),
inference(rw,[status(thm)],[eq_70,eq_59]) ).
cnf(eq_72,negated_conjecture,
multiply(add(inverse(a),multiply(multiply(inverse(inverse(a)),b),c)),a) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_52,eq_69]) ).
cnf(eq_73,negated_conjecture,
multiply(multiply(multiply(a,b),c),a) != multiply(multiply(a,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_64]),eq_68]) ).
cnf(eq_74,negated_conjecture,
multiply(multiply(c,multiply(a,b)),a) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_1,eq_73]) ).
cnf(eq_75,plain,
multiply(multiply(x100,X),multiply(Y,X)) = multiply(multiply(Y,X),x100),
inference(cp,[status(thm)],[eq_54,eq_71]) ).
cnf(eq_76,plain,
multiply(multiply(X,Y),Z) = multiply(multiply(Z,Y),multiply(X,Y)),
eq_75 ).
cnf(eq_77,negated_conjecture,
multiply(multiply(a,multiply(a,b)),multiply(c,multiply(a,b))) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_76,eq_74]) ).
cnf(eq_78,negated_conjecture,
multiply(multiply(a,b),c) != multiply(multiply(a,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_60]),eq_66]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 03:22:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 12.17/12.35 % SZS status Unsatisfiable
% 12.17/12.35 % SZS output start CNFRefutation for /tmp/MaedMax_10792
% See solution above
% 12.17/12.35
%------------------------------------------------------------------------------