TSTP Solution File: ALG007-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 06:55:45 EDT 2022
% Result : Unsatisfiable 27.94s 28.14s
% Output : CNFRefutation 27.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 12 RR)
% Number of literals : 58 ( 57 equ; 11 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 120 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = difference(X,difference(Y,X)),
file('/tmp/MaedMax_27859') ).
cnf(eq_1,axiom,
difference(X,difference(X,Y)) = difference(Y,difference(Y,X)),
file('/tmp/MaedMax_27859') ).
cnf(eq_2,axiom,
difference(difference(X,Y),Z) = difference(difference(X,Z),Y),
file('/tmp/MaedMax_27859') ).
cnf(eq_3,negated_conjecture,
difference(difference(a,b),c) != difference(difference(a,c),difference(b,c)),
file('/tmp/MaedMax_27859') ).
cnf(eq_4,plain,
difference(Y,difference(X,difference(X,Y))) = difference(difference(Y,X),difference(difference(Y,X),Y)),
inference(cp,[status(thm)],[eq_1,eq_1]) ).
cnf(eq_5,plain,
difference(X,difference(X,difference(x100,x101))) = difference(difference(x100,difference(difference(x100,x101),X)),x101),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,plain,
difference(x100,x101) = difference(difference(x100,difference(Y,difference(x100,x101))),x101),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_7,plain,
difference(difference(X,difference(X,Y)),x102) = difference(difference(Y,x102),difference(Y,X)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_8,plain,
difference(X,x102) = difference(difference(X,x102),difference(Y,X)),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_9,plain,
difference(difference(X,Y),difference(X,Z)) = difference(difference(Z,difference(Z,X)),Y),
eq_7 ).
cnf(eq_10,plain,
difference(X,Y) = difference(difference(X,difference(Z,difference(X,Y))),Y),
eq_6 ).
cnf(eq_11,plain,
difference(X,difference(X,difference(Y,Z))) = difference(difference(Y,difference(difference(Y,Z),X)),Z),
eq_5 ).
cnf(eq_12,plain,
difference(X,Y) = difference(difference(X,Y),difference(Z,X)),
eq_8 ).
cnf(eq_13,plain,
difference(X,difference(Y,difference(Y,X))) = difference(difference(X,Y),difference(difference(X,Y),X)),
eq_4 ).
cnf(eq_14,plain,
difference(Z,difference(X,difference(X,difference(Y,Z)))) = Z,
inference(cp,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_15,plain,
difference(difference(Z,X),difference(X,Y)) = difference(Z,X),
inference(cp,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_16,plain,
difference(X,Y) = difference(X,difference(X,difference(X,Y))),
inference(cp,[status(thm)],[eq_12,eq_1]) ).
cnf(eq_17,plain,
difference(X,difference(Y,difference(Y,X))) = difference(X,Y),
inference(cp,[status(thm)],[eq_13,eq_12]) ).
cnf(eq_18,plain,
difference(difference(X,difference(x102,Z)),difference(X,Z)) = difference(Z,difference(Z,X)),
inference(cp,[status(thm)],[eq_9,eq_12]) ).
cnf(eq_19,plain,
difference(difference(Z,difference(X,Y)),X) = difference(Z,X),
inference(cp,[status(thm)],[eq_12,eq_10]) ).
cnf(eq_20,plain,
difference(Y,x102) = difference(difference(Y,x102),difference(Y,Y)),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_21,plain,
difference(X,difference(X,Y)) = difference(difference(Y,difference(Z,X)),difference(Y,X)),
eq_18 ).
cnf(eq_22,plain,
difference(X,Y) = difference(difference(X,Y),difference(Y,Z)),
eq_15 ).
cnf(eq_23,plain,
difference(X,Y) = difference(difference(X,Y),difference(X,X)),
eq_20 ).
cnf(eq_24,plain,
X = difference(X,difference(Y,difference(Y,difference(Z,X)))),
eq_14 ).
cnf(eq_25,plain,
difference(X,Y) = difference(difference(X,difference(Y,Z)),Y),
eq_19 ).
cnf(eq_26,plain,
difference(difference(x100,difference(X,difference(X,Y))),Y) = difference(x100,Y),
inference(cp,[status(thm)],[eq_1,eq_25]) ).
cnf(eq_27,plain,
difference(difference(X,Y),difference(X,Y)) = difference(difference(X,difference(difference(X,X),difference(X,Y))),X),
inference(cp,[status(thm)],[eq_23,eq_11]) ).
cnf(eq_28,plain,
difference(difference(X,Y),x102) = difference(difference(difference(X,difference(Y,Z)),x102),Y),
inference(cp,[status(thm)],[eq_25,eq_2]) ).
cnf(eq_29,plain,
difference(difference(X,difference(X,Y)),Y) = difference(difference(X,X),difference(difference(X,X),difference(X,Y))),
inference(cp,[status(thm)],[eq_23,eq_11]) ).
cnf(eq_30,plain,
difference(X,Y) = difference(difference(X,difference(Z,difference(Z,Y))),Y),
eq_26 ).
cnf(eq_31,plain,
difference(X,X) = difference(difference(X,Y),difference(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_22]),eq_0]) ).
cnf(eq_32,plain,
difference(difference(X,Y),Z) = difference(difference(difference(X,difference(Y,x3)),Z),Y),
eq_28 ).
cnf(eq_33,plain,
difference(X,X) = difference(difference(X,difference(X,Y)),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_22]),eq_12]) ).
cnf(eq_34,plain,
difference(Y,difference(X,X)) = Y,
inference(cp,[status(thm)],[eq_33,eq_0]) ).
cnf(eq_35,plain,
difference(difference(X,Y),X) = difference(X,X),
inference(cp,[status(thm)],[eq_16,eq_25]) ).
cnf(eq_36,plain,
difference(Z,difference(difference(X,Y),difference(difference(Z,difference(Z,X)),Y))) = Z,
inference(cp,[status(thm)],[eq_9,eq_24]) ).
cnf(eq_37,plain,
X = difference(X,difference(difference(Y,Z),difference(difference(X,difference(X,Y)),Z))),
eq_36 ).
cnf(eq_38,plain,
X = difference(X,difference(Y,Y)),
eq_34 ).
cnf(eq_39,plain,
difference(difference(X,Y),difference(X,difference(Y,Z))) = difference(difference(X,difference(Y,Z)),difference(X,difference(Y,Z))),
inference(cp,[status(thm)],[eq_25,eq_35]) ).
cnf(eq_40,plain,
difference(X,X) = difference(difference(X,Y),difference(X,difference(Y,Z))),
inference(rw,[status(thm)],[eq_39,eq_31]) ).
cnf(eq_41,negated_conjecture,
difference(difference(difference(a,difference(Z,difference(Z,b))),b),c) != difference(difference(a,c),difference(b,c)),
inference(cp,[status(thm)],[eq_30,eq_3]) ).
cnf(eq_42,negated_conjecture,
difference(difference(difference(a,difference(X,difference(X,b))),b),c) != difference(difference(a,c),difference(b,c)),
eq_41 ).
cnf(eq_43,negated_conjecture,
difference(difference(difference(a,difference(x100,difference(x100,b))),c),b) != difference(difference(a,c),difference(b,c)),
inference(cp,[status(thm)],[eq_2,eq_42]) ).
cnf(eq_44,negated_conjecture,
difference(difference(difference(a,difference(X,difference(X,b))),c),b) != difference(difference(a,c),difference(b,c)),
eq_43 ).
cnf(eq_45,negated_conjecture,
difference(difference(difference(a,difference(b,difference(b,Y))),c),b) != difference(difference(a,c),difference(b,c)),
inference(cp,[status(thm)],[eq_1,eq_44]) ).
cnf(eq_46,negated_conjecture,
difference(difference(difference(a,difference(b,difference(b,X))),c),b) != difference(difference(a,c),difference(b,c)),
eq_45 ).
cnf(eq_47,negated_conjecture,
difference(difference(difference(a,difference(b,difference(X,difference(X,b)))),c),b) != difference(difference(a,c),difference(b,c)),
inference(cp,[status(thm)],[eq_1,eq_46]) ).
cnf(eq_48,negated_conjecture,
difference(difference(difference(a,difference(b,X)),c),b) != difference(difference(a,c),difference(b,c)),
inference(rw,[status(thm)],[eq_47,eq_17]) ).
cnf(eq_49,plain,
difference(X,difference(difference(x101,difference(X,difference(difference(X,x101),Z))),difference(X,X))) = X,
inference(cp,[status(thm)],[eq_40,eq_37]) ).
cnf(eq_50,plain,
X = difference(X,difference(Y,difference(X,difference(difference(X,Y),Z)))),
inference(rw,[status(thm)],[eq_49,eq_38]) ).
cnf(eq_51,plain,
difference(Y,difference(difference(Z,X),difference(Y,difference(X,difference(X,Y))))) = Y,
inference(cp,[status(thm)],[eq_21,eq_50]) ).
cnf(eq_52,plain,
X = difference(X,difference(difference(Y,Z),difference(X,Z))),
inference(rw,[status(thm)],[eq_51,eq_17]) ).
cnf(eq_53,plain,
difference(difference(difference(Y,Z),X),difference(X,Z)) = difference(difference(Y,Z),difference(X,Z)),
inference(cp,[status(thm)],[eq_52,eq_10]) ).
cnf(eq_54,plain,
difference(difference(X,Y),Z) = difference(difference(X,Y),difference(Z,Y)),
inference(rw,[status(thm)],[eq_53,eq_22]) ).
cnf(eq_55,negated_conjecture,
difference(difference(a,b),c) != difference(difference(a,c),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_32]),eq_54]) ).
cnf(eq_56,negated_conjecture,
difference(difference(a,b),c) != difference(difference(a,b),c),
inference(cp,[status(thm)],[eq_2,eq_55]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n005.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 03:52:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 27.94/28.14 % SZS status Unsatisfiable
% 27.94/28.14 % SZS output start CNFRefutation for /tmp/MaedMax_27859
% See solution above
% 27.94/28.14
%------------------------------------------------------------------------------