TSTP Solution File: ROB004-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : ROB004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n019.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 3.24s 3.43s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 7
% Syntax : Number of clauses : 103 ( 103 unt; 0 nHn; 22 RR)
% Number of literals : 103 ( 102 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 132 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_1163') ).
cnf(eq_1,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_1163') ).
cnf(eq_2,axiom,
X = negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))),
file('/tmp/MaedMax_1163') ).
cnf(eq_3,axiom,
negate(d) = c,
file('/tmp/MaedMax_1163') ).
cnf(eq_4,axiom,
add(c,d) = d,
file('/tmp/MaedMax_1163') ).
cnf(eq_5,axiom,
add(c,c) = c,
file('/tmp/MaedMax_1163') ).
cnf(eq_6,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/tmp/MaedMax_1163') ).
cnf(eq_7,plain,
add(c,x102) = add(c,add(c,x102)),
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_8,plain,
add(d,x102) = add(c,add(d,x102)),
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_9,plain,
add(add(X,Y),x102) = add(Y,add(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_10,plain,
negate(add(negate(add(Y,add(X,Z))),negate(add(X,negate(add(Y,Z)))))) = X,
inference(cp,[status(thm)],[eq_20,eq_2]) ).
cnf(eq_11,plain,
negate(add(negate(add(X,Y)),negate(add(Y,negate(X))))) = Y,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_12,plain,
add(x100,c) = add(c,add(x100,c)),
inference(cp,[status(thm)],[eq_5,eq_20]) ).
cnf(eq_13,plain,
add(x100,d) = add(c,add(x100,d)),
inference(cp,[status(thm)],[eq_4,eq_20]) ).
cnf(eq_14,plain,
add(x100,add(X,Y)) = add(Y,add(x100,X)),
inference(cp,[status(thm)],[eq_0,eq_20]) ).
cnf(eq_15,plain,
add(X,add(Y,Z)) = add(Y,add(Z,X)),
eq_14 ).
cnf(eq_16,plain,
add(c,X) = add(c,add(c,X)),
eq_7 ).
cnf(eq_17,plain,
X = negate(add(negate(add(Y,X)),negate(add(X,negate(Y))))),
eq_11 ).
cnf(eq_18,plain,
add(X,d) = add(c,add(X,d)),
eq_13 ).
cnf(eq_19,plain,
add(X,c) = add(c,add(X,c)),
eq_12 ).
cnf(eq_20,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_21,plain,
add(d,X) = add(d,add(c,X)),
inference(rw,[status(thm)],[eq_8,eq_20]) ).
cnf(eq_22,plain,
add(d,negate(d)) = d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_3]),eq_0]) ).
cnf(eq_23,plain,
add(X,negate(d)) = add(negate(d),add(X,negate(d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_3]),eq_3]),eq_3]) ).
cnf(eq_24,plain,
add(d,X) = add(d,add(negate(d),X)),
inference(rw,[status(thm)],[eq_21,eq_3]) ).
cnf(eq_25,plain,
add(X,d) = add(negate(d),add(X,d)),
inference(rw,[status(thm)],[eq_18,eq_3]) ).
cnf(eq_26,plain,
negate(add(negate(add(d,d)),negate(d))) = d,
inference(cp,[status(thm)],[eq_22,eq_2]) ).
cnf(eq_27,plain,
negate(add(negate(d),negate(add(d,d)))) = d,
inference(rw,[status(thm)],[eq_26,eq_0]) ).
cnf(eq_28,plain,
negate(add(negate(add(negate(d),add(d,d))),d)) = negate(d),
inference(cp,[status(thm)],[eq_27,eq_2]) ).
cnf(eq_29,plain,
negate(add(d,negate(add(d,d)))) = negate(d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_25]),eq_0]) ).
cnf(eq_30,plain,
negate(add(negate(d),negate(add(negate(add(d,d)),negate(d))))) = negate(add(d,d)),
inference(cp,[status(thm)],[eq_29,eq_17]) ).
cnf(eq_31,plain,
negate(add(negate(add(d,X)),negate(add(add(negate(d),X),negate(d))))) = add(negate(d),X),
inference(cp,[status(thm)],[eq_24,eq_17]) ).
cnf(eq_32,plain,
negate(add(negate(add(x100,Y)),negate(add(negate(x100),Y)))) = Y,
inference(cp,[status(thm)],[eq_0,eq_17]) ).
cnf(eq_33,plain,
X = negate(add(negate(add(Y,X)),negate(add(negate(Y),X)))),
eq_32 ).
cnf(eq_34,plain,
negate(add(d,d)) = negate(d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_0]),eq_27]),eq_0]),eq_22]) ).
cnf(eq_35,plain,
negate(add(d,d)) = c,
inference(rw,[status(thm)],[eq_34,eq_3]) ).
cnf(eq_36,plain,
negate(c) = d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_3]),eq_35]),eq_5]) ).
cnf(eq_37,plain,
negate(negate(c)) = c,
inference(cp,[status(thm)],[eq_36,eq_3]) ).
cnf(eq_38,plain,
add(negate(c),X) = add(c,add(negate(c),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_36]),eq_36]),eq_36]),eq_37]),eq_20]) ).
cnf(eq_39,plain,
negate(add(negate(add(c,X)),negate(add(negate(c),add(c,X))))) = add(c,X),
inference(cp,[status(thm)],[eq_16,eq_33]) ).
cnf(eq_40,plain,
negate(add(negate(add(X,add(Y,Z))),negate(add(negate(add(X,Y)),Z)))) = Z,
inference(cp,[status(thm)],[eq_1,eq_33]) ).
cnf(eq_41,plain,
negate(add(negate(add(add(Y,X),negate(add(negate(Y),X)))),X)) = negate(add(negate(Y),X)),
inference(cp,[status(thm)],[eq_33,eq_33]) ).
cnf(eq_42,plain,
negate(add(X,negate(add(Y,add(X,negate(add(negate(Y),X))))))) = negate(add(negate(Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_1]),eq_0]) ).
cnf(eq_43,plain,
X = negate(add(negate(add(Y,add(Z,X))),negate(add(negate(add(Y,Z)),X)))),
eq_40 ).
cnf(eq_44,plain,
X = add(c,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_20]),eq_38]),eq_33]) ).
cnf(eq_45,plain,
negate(add(negate(X),negate(add(negate(c),X)))) = X,
inference(cp,[status(thm)],[eq_44,eq_33]) ).
cnf(eq_46,plain,
X = add(X,c),
inference(cp,[status(thm)],[eq_44,eq_0]) ).
cnf(eq_47,plain,
negate(add(negate(add(x100,add(X,Y))),negate(add(negate(add(x100,Y)),X)))) = X,
inference(cp,[status(thm)],[eq_0,eq_43]) ).
cnf(eq_48,plain,
negate(add(negate(add(Y,add(X,x102))),negate(add(negate(add(X,Y)),x102)))) = x102,
inference(cp,[status(thm)],[eq_0,eq_43]) ).
cnf(eq_49,plain,
X = negate(add(negate(add(Y,add(X,Z))),negate(add(negate(add(Y,Z)),X)))),
eq_47 ).
cnf(eq_50,plain,
X = negate(add(negate(add(Y,add(Z,X))),negate(add(negate(add(Z,Y)),X)))),
eq_48 ).
cnf(eq_51,plain,
X = add(negate(d),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_1]),eq_23]),eq_17]) ).
cnf(eq_52,plain,
X = add(X,negate(d)),
inference(cp,[status(thm)],[eq_51,eq_0]) ).
cnf(eq_53,plain,
negate(negate(add(x101,add(negate(d),negate(add(negate(x101),negate(d))))))) = negate(add(negate(x101),negate(d))),
inference(cp,[status(thm)],[eq_51,eq_42]) ).
cnf(eq_54,plain,
negate(negate(X)) = negate(negate(add(X,negate(negate(X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_52]),eq_51]),eq_52]) ).
cnf(eq_55,plain,
negate(add(negate(add(x100,X)),negate(add(negate(add(x100,X)),c)))) = c,
inference(cp,[status(thm)],[eq_44,eq_49]) ).
cnf(eq_56,plain,
negate(add(negate(add(X,Y)),negate(negate(add(X,Y))))) = c,
inference(rw,[status(thm)],[eq_55,eq_46]) ).
cnf(eq_57,plain,
add(X,add(Y,Z)) = add(add(Y,X),Z),
eq_9 ).
cnf(eq_58,plain,
negate(add(negate(add(negate(add(Y,add(Z,X))),negate(add(negate(add(Z,Y)),X)))),negate(X))) = c,
inference(cp,[status(thm)],[eq_50,eq_56]) ).
cnf(eq_59,plain,
negate(add(X,negate(X))) = c,
inference(rw,[status(thm)],[eq_58,eq_50]) ).
cnf(eq_60,plain,
negate(add(c,negate(add(negate(c),add(X,negate(X)))))) = add(X,negate(X)),
inference(cp,[status(thm)],[eq_59,eq_45]) ).
cnf(eq_61,plain,
negate(add(c,negate(add(negate(X),negate(X))))) = negate(X),
inference(cp,[status(thm)],[eq_59,eq_33]) ).
cnf(eq_62,plain,
negate(negate(add(add(X,negate(X)),negate(c)))) = negate(negate(add(X,negate(X)))),
inference(cp,[status(thm)],[eq_59,eq_54]) ).
cnf(eq_63,plain,
negate(X) = negate(negate(add(negate(X),negate(X)))),
inference(rw,[status(thm)],[eq_61,eq_44]) ).
cnf(eq_64,plain,
negate(negate(add(X,add(negate(X),negate(c))))) = negate(c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_1]),eq_59]) ).
cnf(eq_65,plain,
negate(add(X,add(Y,negate(add(Y,X))))) = c,
inference(cp,[status(thm)],[eq_57,eq_59]) ).
cnf(eq_66,plain,
negate(negate(add(negate(c),add(Y,negate(Y))))) = negate(c),
inference(cp,[status(thm)],[eq_15,eq_64]) ).
cnf(eq_67,plain,
negate(negate(add(negate(add(negate(add(Y,add(Z,X))),negate(add(negate(add(Z,Y)),X)))),X))) = negate(add(negate(add(Y,add(Z,X))),negate(add(negate(add(Z,Y)),X)))),
inference(cp,[status(thm)],[eq_50,eq_63]) ).
cnf(eq_68,plain,
X = negate(negate(add(X,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_50]),eq_50]) ).
cnf(eq_69,plain,
negate(negate(add(negate(c),add(X,negate(X))))) = negate(c),
eq_66 ).
cnf(eq_70,plain,
negate(add(negate(add(X,X)),X)) = c,
inference(cp,[status(thm)],[eq_68,eq_59]) ).
cnf(eq_71,plain,
negate(negate(add(negate(add(X,X)),negate(X)))) = negate(negate(negate(add(X,X)))),
inference(cp,[status(thm)],[eq_68,eq_54]) ).
cnf(eq_72,plain,
negate(add(X,negate(add(X,X)))) = c,
inference(rw,[status(thm)],[eq_70,eq_0]) ).
cnf(eq_73,plain,
negate(X) = negate(negate(add(negate(X),negate(add(X,X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_0]),eq_68]) ).
cnf(eq_74,plain,
add(X,negate(X)) = negate(c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_44]),eq_69]) ).
cnf(eq_75,plain,
negate(add(c,negate(add(negate(X),negate(add(X,X)))))) = negate(add(X,X)),
inference(cp,[status(thm)],[eq_72,eq_33]) ).
cnf(eq_76,plain,
add(X,add(Y,negate(add(Y,X)))) = negate(c),
inference(cp,[status(thm)],[eq_57,eq_74]) ).
cnf(eq_77,plain,
add(x100,negate(c)) = add(negate(X),add(x100,X)),
inference(cp,[status(thm)],[eq_74,eq_15]) ).
cnf(eq_78,plain,
negate(add(c,negate(add(Y,negate(add(X,negate(add(Y,X)))))))) = Y,
inference(cp,[status(thm)],[eq_65,eq_10]) ).
cnf(eq_79,plain,
negate(X) = negate(add(X,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_44]),eq_73]) ).
cnf(eq_80,plain,
negate(add(X,add(X,negate(X)))) = c,
inference(cp,[status(thm)],[eq_79,eq_65]) ).
cnf(eq_81,plain,
negate(negate(X)) = X,
inference(cp,[status(thm)],[eq_79,eq_68]) ).
cnf(eq_82,plain,
negate(c) = add(X,add(X,negate(X))),
inference(cp,[status(thm)],[eq_80,eq_81]) ).
cnf(eq_83,plain,
add(X,add(Y,negate(add(Y,X)))) = d,
inference(rw,[status(thm)],[eq_76,eq_36]) ).
cnf(eq_84,plain,
add(X,negate(X)) = d,
inference(rw,[status(thm)],[eq_74,eq_36]) ).
cnf(eq_85,plain,
X = add(X,negate(add(Y,negate(add(X,Y))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_44]),eq_81]) ).
cnf(eq_86,plain,
add(X,add(X,negate(X))) = negate(c),
eq_82 ).
cnf(eq_87,plain,
add(X,d) = d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_86,eq_84]),eq_36]) ).
cnf(eq_88,plain,
add(X,d) = add(negate(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_77,eq_36]) ).
cnf(eq_89,plain,
add(negate(X),add(Y,X)) = d,
inference(rw,[status(thm)],[eq_88,eq_87]) ).
cnf(eq_90,plain,
add(X,negate(add(add(Y,negate(add(Y,X))),c))) = X,
inference(cp,[status(thm)],[eq_65,eq_85]) ).
cnf(eq_91,plain,
add(negate(X),negate(add(add(Y,X),negate(d)))) = negate(X),
inference(cp,[status(thm)],[eq_89,eq_85]) ).
cnf(eq_92,plain,
add(negate(X),negate(add(Y,X))) = negate(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_3]),eq_1]),eq_46]) ).
cnf(eq_93,plain,
X = add(X,negate(add(Y,negate(add(Y,X))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_90,eq_1]),eq_46]) ).
cnf(eq_94,plain,
add(add(Y,negate(add(Y,X))),negate(add(X,negate(d)))) = add(Y,negate(add(Y,X))),
inference(cp,[status(thm)],[eq_83,eq_93]) ).
cnf(eq_95,plain,
add(X,negate(Y)) = add(X,negate(add(X,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_3]),eq_46]),eq_1]),eq_0]),eq_92]) ).
cnf(eq_96,plain,
add(Y,negate(add(X,Y))) = add(Y,negate(X)),
inference(cp,[status(thm)],[eq_0,eq_95]) ).
cnf(eq_97,plain,
add(X,negate(Y)) = add(X,negate(add(Y,X))),
eq_96 ).
cnf(eq_98,plain,
add(negate(add(Y,X)),negate(add(X,negate(Y)))) = add(negate(add(Y,X)),negate(X)),
inference(cp,[status(thm)],[eq_97,eq_97]) ).
cnf(eq_99,plain,
add(negate(add(X,Y)),negate(add(Y,negate(X)))) = negate(Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_0]),eq_92]) ).
cnf(eq_100,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(add(b,negate(a)))))) != b,
inference(cp,[status(thm)],[eq_97,eq_6]) ).
cnf(eq_101,negated_conjecture,
b != b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_97]),eq_0]),eq_99]),eq_81]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ROB004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n019.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 03:57:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.24/3.43 % SZS status Unsatisfiable
% 3.24/3.43 % SZS output start CNFRefutation for /tmp/MaedMax_1163
% See solution above
% 3.24/3.43
%------------------------------------------------------------------------------