TSTP Solution File: BOO012-4 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO012-4 : 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 06:57:45 EDT 2022
% Result : Unsatisfiable 0.45s 0.69s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 7 RR)
% Number of literals : 37 ( 36 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 : 42 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_13769') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_13769') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_13769') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_13769') ).
cnf(eq_4,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_13769') ).
cnf(eq_5,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_13769') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_13769') ).
cnf(eq_7,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_13769') ).
cnf(eq_8,negated_conjecture,
inverse(inverse(x)) != x,
file('/tmp/MaedMax_13769') ).
cnf(eq_9,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_10,plain,
add(multiply(X,x101),additive_identity) = multiply(X,add(x101,inverse(X))),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_11,plain,
multiply(multiplicative_identity,X) = X,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_12,plain,
multiply(inverse(X),X) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_13,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_14,plain,
multiplicative_identity = add(inverse(X),X),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_15,plain,
add(inverse(X),X) = multiplicative_identity,
eq_14 ).
cnf(eq_16,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_13,eq_5]) ).
cnf(eq_17,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_9 ).
cnf(eq_18,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_10,eq_4]) ).
cnf(eq_19,plain,
additive_identity = inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_12,eq_5]) ).
cnf(eq_20,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_11,eq_16]) ).
cnf(eq_21,plain,
add(x100,additive_identity) = add(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_12,eq_16]) ).
cnf(eq_22,plain,
multiply(X,multiplicative_identity) = multiply(X,X),
inference(cp,[status(thm)],[eq_6,eq_18]) ).
cnf(eq_23,plain,
multiply(x100,multiplicative_identity) = multiply(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_15,eq_18]) ).
cnf(eq_24,plain,
X = multiply(X,X),
inference(rw,[status(thm)],[eq_22,eq_5]) ).
cnf(eq_25,plain,
X = multiply(X,inverse(inverse(X))),
inference(rw,[status(thm)],[eq_23,eq_5]) ).
cnf(eq_26,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_20,eq_6]) ).
cnf(eq_27,plain,
add(multiply(X,Y),X) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_26]),eq_5]) ).
cnf(eq_28,plain,
X = add(X,inverse(multiplicative_identity)),
inference(rw,[status(thm)],[eq_4,eq_19]) ).
cnf(eq_29,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,X)),
inference(cp,[status(thm)],[eq_24,eq_3]) ).
cnf(eq_30,plain,
X = multiply(X,add(Y,X)),
inference(rw,[status(thm)],[eq_29,eq_27]) ).
cnf(eq_31,plain,
X = multiply(add(Y,X),X),
inference(cp,[status(thm)],[eq_30,eq_1]) ).
cnf(eq_32,plain,
X = add(X,inverse(inverse(X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_19]),eq_28]) ).
cnf(eq_33,plain,
multiply(X,inverse(inverse(X))) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_32,eq_31]) ).
cnf(eq_34,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[eq_33,eq_25]) ).
cnf(eq_35,negated_conjecture,
x != x,
inference(rw,[status(thm)],[eq_8,eq_34]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12 % 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 03:22:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.45/0.69 % SZS status Unsatisfiable
% 0.45/0.69 % SZS output start CNFRefutation for /tmp/MaedMax_13769
% See solution above
% 0.45/0.69
%------------------------------------------------------------------------------