TSTP Solution File: BOO013-4 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n027.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 0.58s 0.80s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 20 RR)
% Number of literals : 53 ( 52 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 45 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_10169') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_10169') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_10169') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_10169') ).
cnf(eq_4,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_10169') ).
cnf(eq_5,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_10169') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_10169') ).
cnf(eq_7,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_10169') ).
cnf(eq_8,axiom,
add(a,b) = multiplicative_identity,
file('/tmp/MaedMax_10169') ).
cnf(eq_9,axiom,
multiply(a,b) = additive_identity,
file('/tmp/MaedMax_10169') ).
cnf(eq_10,negated_conjecture,
inverse(a) != b,
file('/tmp/MaedMax_10169') ).
cnf(eq_11,plain,
add(multiply(a,x101),additive_identity) = multiply(a,add(x101,b)),
inference(cp,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_12,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_5,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(a,x102)) = add(a,multiply(b,x102)),
inference(cp,[status(thm)],[eq_8,eq_2]) ).
cnf(eq_17,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_18,plain,
multiplicative_identity = add(inverse(X),X),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_19,plain,
add(inverse(X),X) = multiplicative_identity,
eq_18 ).
cnf(eq_20,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_17,eq_5]) ).
cnf(eq_21,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_12 ).
cnf(eq_22,plain,
add(a,multiply(b,X)) = multiply(multiplicative_identity,add(a,X)),
eq_16 ).
cnf(eq_23,plain,
multiply(a,X) = multiply(a,add(X,b)),
inference(rw,[status(thm)],[eq_11,eq_4]) ).
cnf(eq_24,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_13,eq_4]) ).
cnf(eq_25,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_14,eq_20]) ).
cnf(eq_26,plain,
add(a,additive_identity) = multiply(multiplicative_identity,add(a,inverse(b))),
inference(cp,[status(thm)],[eq_7,eq_22]) ).
cnf(eq_27,plain,
multiply(X,multiplicative_identity) = multiply(X,X),
inference(cp,[status(thm)],[eq_6,eq_24]) ).
cnf(eq_28,plain,
multiply(x100,multiplicative_identity) = multiply(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_19,eq_24]) ).
cnf(eq_29,plain,
multiply(multiplicative_identity,Y) = add(Y,inverse(multiplicative_identity)),
inference(cp,[status(thm)],[eq_24,eq_14]) ).
cnf(eq_30,plain,
additive_identity = inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_7,eq_14]) ).
cnf(eq_31,plain,
multiply(a,multiplicative_identity) = multiply(a,inverse(b)),
inference(cp,[status(thm)],[eq_19,eq_23]) ).
cnf(eq_32,plain,
X = multiply(X,X),
inference(rw,[status(thm)],[eq_27,eq_5]) ).
cnf(eq_33,plain,
multiply(a,inverse(b)) = a,
inference(rw,[status(thm)],[eq_31,eq_5]) ).
cnf(eq_34,plain,
X = multiply(X,inverse(inverse(X))),
inference(rw,[status(thm)],[eq_28,eq_5]) ).
cnf(eq_35,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_25,eq_6]) ).
cnf(eq_36,plain,
add(multiply(X,Y),X) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_35]),eq_5]) ).
cnf(eq_37,plain,
add(x100,additive_identity) = add(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_15,eq_20]) ).
cnf(eq_38,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,X)),
inference(cp,[status(thm)],[eq_32,eq_3]) ).
cnf(eq_39,plain,
multiply(inverse(b),a) = a,
inference(cp,[status(thm)],[eq_1,eq_33]) ).
cnf(eq_40,plain,
X = add(X,inverse(multiplicative_identity)),
inference(rw,[status(thm)],[eq_29,eq_14]) ).
cnf(eq_41,plain,
X = multiply(X,add(Y,X)),
inference(rw,[status(thm)],[eq_38,eq_36]) ).
cnf(eq_42,plain,
add(a,inverse(b)) = multiply(inverse(b),add(a,multiplicative_identity)),
inference(cp,[status(thm)],[eq_39,eq_21]) ).
cnf(eq_43,plain,
add(a,inverse(b)) = inverse(b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_35]),eq_5]) ).
cnf(eq_44,plain,
X = multiply(add(Y,X),X),
inference(cp,[status(thm)],[eq_41,eq_1]) ).
cnf(eq_45,plain,
X = add(X,inverse(inverse(X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_30]),eq_40]) ).
cnf(eq_46,plain,
add(a,inverse(b)) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_30]),eq_40]),eq_14]) ).
cnf(eq_47,plain,
a = inverse(b),
inference(cp,[status(thm)],[eq_46,eq_43]) ).
cnf(eq_48,negated_conjecture,
inverse(inverse(b)) != b,
inference(rw,[status(thm)],[eq_10,eq_47]) ).
cnf(eq_49,plain,
multiply(X,inverse(inverse(X))) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_45,eq_44]) ).
cnf(eq_50,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[eq_49,eq_34]) ).
cnf(eq_51,negated_conjecture,
b != b,
inference(rw,[status(thm)],[eq_48,eq_50]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 0.00/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n027.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 03:36:05 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.58/0.80 % SZS status Unsatisfiable
% 0.58/0.80 % SZS output start CNFRefutation for /tmp/MaedMax_10169
% See solution above
% 0.58/0.81
%------------------------------------------------------------------------------