%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : ROB008-1 : 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 07:11:59 EDT 2022
% Result : Unsatisfiable 1.29s 1.52s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 11 RR)
% Number of literals : 25 ( 24 equ; 3 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_15653') ).
cnf(eq_1,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_15653') ).
cnf(eq_2,axiom,
X = negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))),
file('/tmp/MaedMax_15653') ).
cnf(eq_3,axiom,
negate(add(a,add(b,negate(c)))) = negate(add(a,negate(add(b,c)))),
file('/tmp/MaedMax_15653') ).
cnf(eq_4,negated_conjecture,
add(a,b) != a,
file('/tmp/MaedMax_15653') ).
cnf(eq_5,plain,
negate(add(a,negate(add(c,b)))) = negate(add(b,add(a,negate(c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_11]),eq_0]) ).
cnf(eq_6,negated_conjecture,
add(b,a) != a,
inference(rw,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_7,plain,
add(add(X,Y),x102) = add(Y,add(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_8,plain,
negate(add(negate(add(Y,add(X,Z))),negate(add(X,negate(add(Y,Z)))))) = X,
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_9,plain,
negate(add(negate(add(X,Y)),negate(add(Y,negate(X))))) = Y,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_10,plain,
X = negate(add(negate(add(Y,X)),negate(add(X,negate(Y))))),
eq_9 ).
cnf(eq_11,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_12,plain,
negate(add(negate(add(x100,Y)),negate(add(negate(x100),Y)))) = Y,
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_13,plain,
negate(add(negate(add(c,add(a,b))),negate(add(b,add(a,negate(c)))))) = a,
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_14,plain,
X = negate(add(negate(add(Y,X)),negate(add(negate(Y),X)))),
eq_12 ).
cnf(eq_15,plain,
negate(add(negate(add(c,add(b,a))),negate(add(b,add(a,negate(c)))))) = a,
inference(rw,[status(thm)],[eq_13,eq_0]) ).
cnf(eq_16,plain,
negate(add(negate(add(x100,add(Y,Z))),negate(add(Y,add(negate(x100),Z))))) = add(Y,Z),
inference(cp,[status(thm)],[eq_11,eq_14]) ).
cnf(eq_17,plain,
negate(add(negate(add(b,add(c,a))),negate(add(b,add(a,negate(c)))))) = a,
inference(cp,[status(thm)],[eq_11,eq_15]) ).
cnf(eq_18,plain,
add(X,Y) = negate(add(negate(add(Z,add(X,Y))),negate(add(X,add(negate(Z),Y))))),
eq_16 ).
cnf(eq_19,plain,
negate(add(negate(add(b,add(c,a))),negate(add(b,add(negate(c),a))))) = a,
inference(rw,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_20,plain,
negate(add(negate(add(Y,add(X,Z))),negate(add(Y,add(negate(X),Z))))) = add(Y,Z),
inference(cp,[status(thm)],[eq_11,eq_18]) ).
cnf(eq_21,plain,
add(X,Y) = negate(add(negate(add(X,add(Z,Y))),negate(add(X,add(negate(Z),Y))))),
eq_20 ).
cnf(eq_22,plain,
add(b,a) = a,
inference(rw,[status(thm)],[eq_19,eq_21]) ).
cnf(eq_23,negated_conjecture,
a != a,
inference(cp,[status(thm)],[eq_22,eq_6]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ROB008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % 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 03:52:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.29/1.52 % SZS status Unsatisfiable
% 1.29/1.52 % SZS output start CNFRefutation for /tmp/MaedMax_15653
% See solution above
% 1.29/1.52
%------------------------------------------------------------------------------