TSTP Solution File: ROB023-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : ROB023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n026.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 1.38s 1.56s
% Output   : CNFRefutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   42 (  42 unt;   0 nHn;   6 RR)
%            Number of literals    :   42 (  41 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   3 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   :   57 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_11781') ).

cnf(eq_1,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_11781') ).

cnf(eq_2,axiom,
    X = negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))),
    file('/tmp/MaedMax_11781') ).

cnf(eq_3,axiom,
    X = add(X,X),
    file('/tmp/MaedMax_11781') ).

cnf(eq_4,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
    file('/tmp/MaedMax_11781') ).

cnf(eq_5,plain,
    add(add(X,Y),x102) = add(Y,add(X,x102)),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_6,plain,
    add(X,x102) = add(X,add(X,x102)),
    inference(cp,[status(thm)],[eq_3,eq_1]) ).

cnf(eq_7,plain,
    negate(add(negate(add(X,Y)),negate(add(Y,negate(X))))) = Y,
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_8,plain,
    negate(add(negate(X),negate(add(X,negate(X))))) = X,
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_9,plain,
    negate(add(negate(add(negate(x101),x101)),negate(negate(x101)))) = negate(x101),
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_10,plain,
    add(X,Y) = add(X,add(X,Y)),
    eq_6 ).

cnf(eq_11,plain,
    X = negate(add(negate(add(Y,X)),negate(add(X,negate(Y))))),
    eq_7 ).

cnf(eq_12,plain,
    negate(X) = negate(add(negate(negate(X)),negate(add(X,negate(X))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_0]),eq_0]) ).

cnf(eq_13,plain,
    add(X,add(Y,Z)) = add(Y,add(X,Z)),
    inference(rw,[status(thm)],[eq_5,eq_1]) ).

cnf(eq_14,plain,
    add(Y,add(X,Y)) = add(Y,X),
    inference(cp,[status(thm)],[eq_0,eq_10]) ).

cnf(eq_15,plain,
    negate(add(X,negate(add(add(negate(X),negate(add(X,negate(X)))),negate(add(negate(X),negate(add(X,negate(X))))))))) = add(negate(X),negate(add(X,negate(X)))),
    inference(cp,[status(thm)],[eq_8,eq_8]) ).

cnf(eq_16,plain,
    negate(add(negate(add(add(X,negate(X)),negate(X))),X)) = negate(X),
    inference(cp,[status(thm)],[eq_8,eq_11]) ).

cnf(eq_17,plain,
    negate(add(negate(add(x100,Y)),negate(add(negate(x100),Y)))) = Y,
    inference(cp,[status(thm)],[eq_0,eq_11]) ).

cnf(eq_18,plain,
    negate(add(negate(negate(add(negate(X),negate(add(X,negate(X)))))),negate(add(add(negate(X),negate(add(X,negate(X)))),X)))) = negate(add(negate(X),negate(add(X,negate(X))))),
    inference(cp,[status(thm)],[eq_8,eq_12]) ).

cnf(eq_19,plain,
    X = negate(add(negate(add(Y,X)),negate(add(negate(Y),X)))),
    eq_17 ).

cnf(eq_20,plain,
    add(X,Y) = add(X,add(Y,X)),
    eq_14 ).

cnf(eq_21,plain,
    negate(X) = negate(add(X,negate(add(X,negate(X))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_0]),eq_13]),eq_3]),eq_0]) ).

cnf(eq_22,plain,
    negate(add(negate(add(X,negate(add(X,negate(X))))),negate(add(add(X,negate(add(X,negate(X)))),negate(X))))) = add(X,negate(add(X,negate(X)))),
    inference(cp,[status(thm)],[eq_21,eq_8]) ).

cnf(eq_23,plain,
    X = negate(add(negate(X),negate(add(X,add(negate(X),negate(add(X,negate(X)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_8]),eq_1]),eq_0]),eq_13]),eq_8]) ).

cnf(eq_24,plain,
    X = add(X,negate(add(X,negate(X)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_21]),eq_1]),eq_0]),eq_23]) ).

cnf(eq_25,plain,
    add(X,x102) = add(X,add(negate(add(X,negate(X))),x102)),
    inference(cp,[status(thm)],[eq_24,eq_1]) ).

cnf(eq_26,plain,
    add(X,Y) = add(X,add(negate(add(X,negate(X))),Y)),
    eq_25 ).

cnf(eq_27,plain,
    add(x100,add(negate(add(x100,negate(x100))),Y)) = add(x100,add(Y,negate(add(x100,negate(x100))))),
    inference(cp,[status(thm)],[eq_20,eq_26]) ).

cnf(eq_28,plain,
    add(X,Y) = add(X,add(Y,negate(add(X,negate(X))))),
    inference(rw,[status(thm)],[eq_27,eq_26]) ).

cnf(eq_29,plain,
    add(negate(X),negate(add(X,negate(X)))) = negate(X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_8]),eq_1]),eq_0]),eq_24]),eq_0]),eq_24]) ).

cnf(eq_30,plain,
    add(negate(X),x102) = add(negate(X),add(negate(add(X,negate(X))),x102)),
    inference(cp,[status(thm)],[eq_29,eq_1]) ).

cnf(eq_31,plain,
    negate(negate(X)) = X,
    inference(cp,[status(thm)],[eq_29,eq_8]) ).

cnf(eq_32,plain,
    add(negate(X),Y) = add(negate(X),add(negate(add(X,negate(X))),Y)),
    eq_30 ).

cnf(eq_33,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),add(negate(b),negate(add(negate(a),negate(negate(a)))))))) != b,
    inference(cp,[status(thm)],[eq_28,eq_4]) ).

cnf(eq_34,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),add(negate(b),negate(add(a,negate(a))))))) != b,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_31]),eq_0]) ).

cnf(eq_35,plain,
    negate(add(negate(add(X,add(negate(add(X,negate(X))),Y))),negate(add(negate(X),Y)))) = add(negate(add(X,negate(X))),Y),
    inference(cp,[status(thm)],[eq_32,eq_19]) ).

cnf(eq_36,plain,
    negate(X) = add(negate(add(Y,X)),negate(add(negate(Y),X))),
    inference(cp,[status(thm)],[eq_19,eq_31]) ).

cnf(eq_37,plain,
    X = add(negate(add(Y,negate(Y))),X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_26]),eq_19]) ).

cnf(eq_38,plain,
    add(negate(add(X,Y)),negate(add(negate(X),Y))) = negate(Y),
    eq_36 ).

cnf(eq_39,plain,
    X = add(X,negate(add(Y,negate(Y)))),
    inference(cp,[status(thm)],[eq_37,eq_0]) ).

cnf(eq_40,negated_conjecture,
    b != b,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_39]),eq_38]),eq_31]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ROB023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 04:08:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.38/1.56  % SZS status Unsatisfiable
% 1.38/1.56  % SZS output start CNFRefutation for /tmp/MaedMax_11781
% See solution above
% 1.38/1.56  
%------------------------------------------------------------------------------