TSTP Solution File: BOO012-2 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n025.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 06:57:45 EDT 2022
% Result : Unsatisfiable 0.46s 0.66s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 6 RR)
% Number of literals : 27 ( 26 equ; 2 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/tmp/MaedMax_10590') ).
cnf(eq_1,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_10590') ).
cnf(eq_2,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_10590') ).
cnf(eq_3,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_10590') ).
cnf(eq_4,axiom,
add(inverse(X),X) = multiplicative_identity,
file('/tmp/MaedMax_10590') ).
cnf(eq_5,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_10590') ).
cnf(eq_6,axiom,
multiply(inverse(X),X) = additive_identity,
file('/tmp/MaedMax_10590') ).
cnf(eq_7,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_10590') ).
cnf(eq_8,axiom,
X = multiply(multiplicative_identity,X),
file('/tmp/MaedMax_10590') ).
cnf(eq_9,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_10590') ).
cnf(eq_10,negated_conjecture,
inverse(inverse(x)) != x,
file('/tmp/MaedMax_10590') ).
cnf(eq_11,plain,
add(X,multiply(X,x102)) = multiply(X,add(multiplicative_identity,x102)),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_12,plain,
add(additive_identity,multiply(x102,X)) = multiply(add(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_13,plain,
multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_14,plain,
multiply(X,Y) = multiply(add(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_12,eq_9]) ).
cnf(eq_15,plain,
add(X,multiply(X,Y)) = multiply(X,add(multiplicative_identity,Y)),
eq_11 ).
cnf(eq_16,plain,
add(X,Y) = add(multiply(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_13,eq_8]) ).
cnf(eq_17,plain,
add(inverse(x100),x100) = add(multiplicative_identity,x100),
inference(cp,[status(thm)],[eq_7,eq_16]) ).
cnf(eq_18,plain,
add(additive_identity,x100) = add(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_5,eq_16]) ).
cnf(eq_19,plain,
multiply(multiplicative_identity,x100) = multiply(inverse(inverse(x100)),x100),
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_20,plain,
X = add(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_18,eq_9]) ).
cnf(eq_21,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_17,eq_4]) ).
cnf(eq_22,plain,
X = multiply(inverse(inverse(X)),X),
inference(rw,[status(thm)],[eq_19,eq_8]) ).
cnf(eq_23,plain,
add(inverse(inverse(X)),X) = multiply(inverse(inverse(X)),add(multiplicative_identity,X)),
inference(cp,[status(thm)],[eq_22,eq_15]) ).
cnf(eq_24,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_20]),eq_21]),eq_7]) ).
cnf(eq_25,negated_conjecture,
x != x,
inference(cp,[status(thm)],[eq_24,eq_10]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.32 % Computer : n025.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 03:30:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.66 % SZS status Unsatisfiable
% 0.46/0.66 % SZS output start CNFRefutation for /tmp/MaedMax_10590
% See solution above
% 0.46/0.66
%------------------------------------------------------------------------------