TSTP Solution File: BOO008-2 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n009.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 8.23s 8.41s
% Output : CNFRefutation 8.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 13 RR)
% Number of literals : 64 ( 63 equ; 7 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 : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 91 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_9142') ).
cnf(eq_1,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/tmp/MaedMax_9142') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_9142') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_9142') ).
cnf(eq_4,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_9142') ).
cnf(eq_5,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_9142') ).
cnf(eq_6,axiom,
add(inverse(X),X) = multiplicative_identity,
file('/tmp/MaedMax_9142') ).
cnf(eq_7,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_9142') ).
cnf(eq_8,axiom,
multiply(inverse(X),X) = additive_identity,
file('/tmp/MaedMax_9142') ).
cnf(eq_9,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_9142') ).
cnf(eq_10,axiom,
X = multiply(multiplicative_identity,X),
file('/tmp/MaedMax_9142') ).
cnf(eq_11,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_9142') ).
cnf(eq_12,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_9142') ).
cnf(eq_13,negated_conjecture,
add(add(a,b),c) != add(a,add(b,c)),
file('/tmp/MaedMax_9142') ).
cnf(eq_14,plain,
add(X,multiply(X,x102)) = multiply(X,add(multiplicative_identity,x102)),
inference(cp,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_15,plain,
add(additive_identity,multiply(X,x102)) = multiply(X,add(inverse(X),x102)),
inference(cp,[status(thm)],[eq_7,eq_4]) ).
cnf(eq_16,plain,
add(additive_identity,multiply(x102,X)) = multiply(add(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_17,plain,
multiply(multiplicative_identity,add(X,x102)) = add(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_18,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_19,plain,
multiply(multiplicative_identity,add(x102,inverse(X))) = add(multiply(X,x102),inverse(X)),
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_20,plain,
multiply(X,add(x102,X)) = add(multiply(additive_identity,x102),X),
inference(cp,[status(thm)],[eq_12,eq_1]) ).
cnf(eq_21,plain,
multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_22,plain,
multiply(add(x100,X),add(X,Y)) = add(multiply(x100,Y),X),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_23,plain,
multiply(add(X,Z),Y) = add(multiply(Z,Y),multiply(X,Y)),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_24,plain,
multiply(add(X,Y),Z) = multiply(add(Y,X),Z),
inference(rw,[status(thm)],[eq_23,eq_3]) ).
cnf(eq_25,plain,
add(X,inverse(Y)) = add(multiply(Y,X),inverse(Y)),
inference(rw,[status(thm)],[eq_19,eq_10]) ).
cnf(eq_26,plain,
add(X,Y) = add(X,multiply(inverse(X),Y)),
inference(rw,[status(thm)],[eq_17,eq_10]) ).
cnf(eq_27,plain,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Z,Y)),
eq_22 ).
cnf(eq_28,plain,
multiply(X,Y) = multiply(X,add(inverse(X),Y)),
inference(rw,[status(thm)],[eq_15,eq_12]) ).
cnf(eq_29,plain,
multiply(X,Y) = multiply(add(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_16,eq_12]) ).
cnf(eq_30,plain,
add(X,multiply(X,Y)) = multiply(X,add(multiplicative_identity,Y)),
eq_14 ).
cnf(eq_31,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_18,eq_9]) ).
cnf(eq_32,plain,
add(X,Y) = add(multiply(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_21,eq_10]) ).
cnf(eq_33,negated_conjecture,
add(add(b,c),a) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_0,eq_13]) ).
cnf(eq_34,plain,
add(X,Y) = add(Y,multiply(inverse(Y),X)),
inference(cp,[status(thm)],[eq_0,eq_26]) ).
cnf(eq_35,plain,
add(inverse(x100),x100) = add(multiplicative_identity,x100),
inference(cp,[status(thm)],[eq_9,eq_32]) ).
cnf(eq_36,plain,
add(additive_identity,x100) = add(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_7,eq_32]) ).
cnf(eq_37,plain,
multiply(inverse(x100),x100) = multiply(additive_identity,x100),
inference(cp,[status(thm)],[eq_11,eq_29]) ).
cnf(eq_38,plain,
multiply(multiplicative_identity,x100) = multiply(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_5,eq_29]) ).
cnf(eq_39,plain,
X = add(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_36,eq_12]) ).
cnf(eq_40,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_35,eq_6]) ).
cnf(eq_41,plain,
multiply(additive_identity,X) = additive_identity,
inference(rw,[status(thm)],[eq_37,eq_8]) ).
cnf(eq_42,plain,
X = multiply(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_38,eq_10]) ).
cnf(eq_43,negated_conjecture,
add(add(c,b),a) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_0,eq_33]) ).
cnf(eq_44,plain,
add(x100,multiply(add(Y,X),inverse(x100))) = add(x100,add(X,Y)),
inference(cp,[status(thm)],[eq_24,eq_31]) ).
cnf(eq_45,plain,
add(X,add(Y,Z)) = add(X,add(Z,Y)),
inference(rw,[status(thm)],[eq_44,eq_31]) ).
cnf(eq_46,plain,
X = multiply(X,add(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_41]),eq_12]) ).
cnf(eq_47,plain,
add(inverse(inverse(X)),X) = multiply(inverse(inverse(X)),add(multiplicative_identity,X)),
inference(cp,[status(thm)],[eq_42,eq_30]) ).
cnf(eq_48,plain,
add(X,inverse(X)) = add(add(Y,X),inverse(X)),
inference(cp,[status(thm)],[eq_46,eq_25]) ).
cnf(eq_49,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_39]),eq_40]),eq_9]) ).
cnf(eq_50,plain,
add(add(X,Y),inverse(Y)) = multiplicative_identity,
inference(rw,[status(thm)],[eq_48,eq_5]) ).
cnf(eq_51,plain,
add(inverse(x101),add(x100,x101)) = multiplicative_identity,
inference(cp,[status(thm)],[eq_0,eq_50]) ).
cnf(eq_52,plain,
add(inverse(X),add(Y,X)) = multiplicative_identity,
eq_51 ).
cnf(eq_53,plain,
multiply(multiplicative_identity,add(add(Y,X),x102)) = add(multiply(inverse(X),x102),add(Y,X)),
inference(cp,[status(thm)],[eq_52,eq_27]) ).
cnf(eq_54,plain,
add(add(X,Y),Z) = add(multiply(inverse(Y),Z),add(X,Y)),
inference(rw,[status(thm)],[eq_53,eq_10]) ).
cnf(eq_55,negated_conjecture,
add(multiply(inverse(b),a),add(c,b)) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_54,eq_43]) ).
cnf(eq_56,plain,
add(multiply(inverse(x100),Y),add(x102,x100)) = add(add(x102,x100),add(inverse(inverse(x100)),Y)),
inference(cp,[status(thm)],[eq_28,eq_54]) ).
cnf(eq_57,plain,
add(add(X,Y),Z) = add(add(X,Y),add(Y,Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_54]),eq_49]) ).
cnf(eq_58,negated_conjecture,
add(add(c,b),multiply(inverse(b),a)) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_0,eq_55]) ).
cnf(eq_59,plain,
add(add(X,Y),Z) = add(add(Y,Z),add(X,Y)),
inference(cp,[status(thm)],[eq_57,eq_0]) ).
cnf(eq_60,plain,
add(add(X,Y),Z) = add(add(Y,Z),add(Y,X)),
inference(cp,[status(thm)],[eq_59,eq_45]) ).
cnf(eq_61,negated_conjecture,
add(add(b,multiply(inverse(b),a)),add(b,c)) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_60,eq_58]) ).
cnf(eq_62,negated_conjecture,
add(add(a,b),c) != add(add(a,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_34]),eq_57]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n009.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 03:20:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.23/8.41 % SZS status Unsatisfiable
% 8.23/8.41 % SZS output start CNFRefutation for /tmp/MaedMax_9142
% See solution above
% 8.23/8.42
%------------------------------------------------------------------------------