TSTP Solution File: ROB022-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : ROB022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 07:12:01 EDT 2022
% Result : Unsatisfiable 1.62s 1.80s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of clauses : 48 ( 48 unt; 0 nHn; 18 RR)
% Number of literals : 48 ( 47 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_15484') ).
cnf(eq_1,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_15484') ).
cnf(eq_2,axiom,
X = negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))),
file('/tmp/MaedMax_15484') ).
cnf(eq_3,axiom,
add(c,negate(c)) = c,
file('/tmp/MaedMax_15484') ).
cnf(eq_4,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/tmp/MaedMax_15484') ).
cnf(eq_5,plain,
add(c,x102) = add(c,add(negate(c),x102)),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_6,plain,
negate(add(negate(add(X,Y)),negate(add(Y,negate(X))))) = Y,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_7,plain,
negate(add(negate(add(c,c)),negate(c))) = c,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_8,plain,
X = negate(add(negate(add(Y,X)),negate(add(X,negate(Y))))),
eq_6 ).
cnf(eq_9,plain,
add(c,X) = add(c,add(negate(c),X)),
eq_5 ).
cnf(eq_10,plain,
negate(add(negate(c),negate(add(c,c)))) = c,
inference(rw,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_11,plain,
add(c,add(negate(c),X)) = add(X,c),
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_12,plain,
negate(add(negate(add(add(c,c),negate(c))),c)) = negate(c),
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_13,plain,
negate(add(negate(add(x100,Y)),negate(add(negate(x100),Y)))) = Y,
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_14,plain,
negate(add(negate(c),negate(add(c,add(negate(c),c))))) = c,
inference(cp,[status(thm)],[eq_9,eq_10]) ).
cnf(eq_15,plain,
X = negate(add(negate(add(Y,X)),negate(add(negate(Y),X)))),
eq_13 ).
cnf(eq_16,plain,
negate(add(negate(c),negate(add(c,add(c,negate(c)))))) = c,
inference(rw,[status(thm)],[eq_14,eq_0]) ).
cnf(eq_17,plain,
negate(add(c,negate(add(c,add(c,negate(c)))))) = negate(c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_1]),eq_0]) ).
cnf(eq_18,plain,
negate(add(c,negate(add(c,c)))) = negate(c),
inference(rw,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_19,plain,
negate(add(negate(c),negate(add(negate(c),negate(add(c,c)))))) = negate(add(c,c)),
inference(cp,[status(thm)],[eq_18,eq_15]) ).
cnf(eq_20,plain,
negate(add(negate(add(X,c)),negate(add(negate(c),add(negate(c),X))))) = add(negate(c),X),
inference(cp,[status(thm)],[eq_11,eq_15]) ).
cnf(eq_21,plain,
negate(add(c,c)) = negate(c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_10]),eq_0]),eq_3]) ).
cnf(eq_22,plain,
negate(add(negate(c),negate(c))) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_3]),eq_21]) ).
cnf(eq_23,plain,
negate(add(negate(add(add(negate(c),negate(c)),x101)),negate(add(c,x101)))) = x101,
inference(cp,[status(thm)],[eq_22,eq_15]) ).
cnf(eq_24,plain,
X = negate(add(negate(add(c,X)),negate(add(negate(c),add(negate(c),X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_1]),eq_0]) ).
cnf(eq_25,plain,
negate(add(negate(add(X,c)),negate(add(negate(c),add(negate(c),X))))) = X,
inference(cp,[status(thm)],[eq_0,eq_24]) ).
cnf(eq_26,plain,
X = add(negate(c),X),
inference(rw,[status(thm)],[eq_20,eq_25]) ).
cnf(eq_27,plain,
X = add(X,negate(c)),
inference(cp,[status(thm)],[eq_26,eq_0]) ).
cnf(eq_28,plain,
negate(add(negate(X),negate(add(negate(c),negate(X))))) = negate(c),
inference(cp,[status(thm)],[eq_26,eq_2]) ).
cnf(eq_29,plain,
negate(add(negate(X),negate(negate(X)))) = negate(c),
inference(rw,[status(thm)],[eq_28,eq_26]) ).
cnf(eq_30,plain,
negate(add(X,negate(negate(add(negate(add(X,Y)),negate(add(X,negate(Y)))))))) = negate(c),
inference(cp,[status(thm)],[eq_2,eq_29]) ).
cnf(eq_31,plain,
negate(add(X,negate(X))) = negate(c),
inference(rw,[status(thm)],[eq_30,eq_2]) ).
cnf(eq_32,plain,
negate(add(negate(add(X,X)),negate(c))) = X,
inference(cp,[status(thm)],[eq_31,eq_8]) ).
cnf(eq_33,plain,
X = negate(negate(add(X,X))),
inference(rw,[status(thm)],[eq_32,eq_27]) ).
cnf(eq_34,plain,
negate(add(negate(add(X,X)),X)) = negate(c),
inference(cp,[status(thm)],[eq_33,eq_31]) ).
cnf(eq_35,plain,
negate(add(negate(add(x100,negate(negate(x100)))),negate(c))) = negate(negate(x100)),
inference(cp,[status(thm)],[eq_31,eq_15]) ).
cnf(eq_36,plain,
negate(negate(X)) = negate(negate(add(X,negate(negate(X))))),
inference(rw,[status(thm)],[eq_35,eq_27]) ).
cnf(eq_37,plain,
negate(add(X,negate(add(X,X)))) = negate(c),
inference(rw,[status(thm)],[eq_34,eq_0]) ).
cnf(eq_38,plain,
negate(add(negate(c),negate(add(negate(X),negate(add(X,X)))))) = negate(add(X,X)),
inference(cp,[status(thm)],[eq_37,eq_15]) ).
cnf(eq_39,plain,
negate(negate(add(negate(add(X,X)),negate(X)))) = negate(negate(negate(add(X,X)))),
inference(cp,[status(thm)],[eq_33,eq_36]) ).
cnf(eq_40,plain,
negate(X) = negate(negate(add(negate(X),negate(add(X,X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_0]),eq_33]) ).
cnf(eq_41,plain,
negate(X) = negate(add(X,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_26]),eq_40]) ).
cnf(eq_42,plain,
negate(negate(X)) = X,
inference(cp,[status(thm)],[eq_41,eq_33]) ).
cnf(eq_43,plain,
negate(X) = add(negate(add(Y,X)),negate(add(negate(Y),X))),
inference(cp,[status(thm)],[eq_15,eq_42]) ).
cnf(eq_44,plain,
add(negate(add(X,Y)),negate(add(negate(X),Y))) = negate(Y),
eq_43 ).
cnf(eq_45,negated_conjecture,
negate(negate(b)) != b,
inference(cp,[status(thm)],[eq_44,eq_4]) ).
cnf(eq_46,negated_conjecture,
b != b,
inference(rw,[status(thm)],[eq_45,eq_42]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ROB022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n013.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 03:51:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.62/1.80 % SZS status Unsatisfiable
% 1.62/1.80 % SZS output start CNFRefutation for /tmp/MaedMax_15484
% See solution above
% 1.62/1.80
%------------------------------------------------------------------------------