TSTP Solution File: LCL155-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 Apr 30 20:26:30 EDT 2024

% Result   : Unsatisfiable 0.14s 0.33s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  41 unt;   0 def)
%            Number of atoms       :   41 (  40 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : implies(truth,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Y] : or(X,Y) = implies(not(X),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] : or(X,Y) = or(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y] : and(X,Y) = not(or(not(X),not(Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y] : and(X,Y) = and(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y] : xor(X,Y) = or(and(X,not(Y)),and(not(X),Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    not(truth) = falsehood,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    xor(x,x) != falsehood,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0] : implies(truth,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f21,plain,
    ! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f22,plain,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f24,plain,
    ! [X0,X1] : or(X0,X1) = or(X1,X0),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f25,plain,
    ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f27,plain,
    ! [X0,X1] : and(X0,X1) = and(X1,X0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f28,plain,
    ! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f33,plain,
    not(truth) = falsehood,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f34,plain,
    xor(x,x) != falsehood,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f37,plain,
    ! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
    inference(paramodulation,[status(thm)],[f18,f19]) ).

fof(f38,plain,
    ! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
    inference(forward_demodulation,[status(thm)],[f18,f37]) ).

fof(f76,plain,
    ! [X0] : implies(implies(truth,X0),X0) = truth,
    inference(paramodulation,[status(thm)],[f18,f38]) ).

fof(f77,plain,
    ! [X0] : implies(X0,X0) = truth,
    inference(forward_demodulation,[status(thm)],[f18,f76]) ).

fof(f104,plain,
    ! [X0] : or(X0,not(X0)) = truth,
    inference(paramodulation,[status(thm)],[f22,f77]) ).

fof(f115,plain,
    ! [X0,X1] : implies(or(X0,not(X1)),implies(X1,X0)) = truth,
    inference(forward_demodulation,[status(thm)],[f22,f21]) ).

fof(f119,plain,
    ! [X0] : implies(or(X0,falsehood),implies(truth,X0)) = truth,
    inference(paramodulation,[status(thm)],[f33,f115]) ).

fof(f120,plain,
    ! [X0] : implies(or(X0,falsehood),X0) = truth,
    inference(forward_demodulation,[status(thm)],[f18,f119]) ).

fof(f149,plain,
    ! [X0] : implies(or(falsehood,X0),X0) = truth,
    inference(paramodulation,[status(thm)],[f24,f120]) ).

fof(f184,plain,
    implies(truth,not(falsehood)) = truth,
    inference(paramodulation,[status(thm)],[f104,f149]) ).

fof(f185,plain,
    not(falsehood) = truth,
    inference(forward_demodulation,[status(thm)],[f18,f184]) ).

fof(f202,plain,
    ! [X0] : or(falsehood,X0) = implies(truth,X0),
    inference(paramodulation,[status(thm)],[f185,f22]) ).

fof(f203,plain,
    ! [X0] : or(falsehood,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f18,f202]) ).

fof(f227,plain,
    ! [X0] : and(X0,not(X0)) = not(truth),
    inference(paramodulation,[status(thm)],[f104,f25]) ).

fof(f228,plain,
    ! [X0] : and(X0,not(X0)) = falsehood,
    inference(forward_demodulation,[status(thm)],[f33,f227]) ).

fof(f315,plain,
    ! [X0] : xor(X0,X0) = or(falsehood,and(not(X0),X0)),
    inference(paramodulation,[status(thm)],[f228,f28]) ).

fof(f316,plain,
    ! [X0] : xor(X0,X0) = and(not(X0),X0),
    inference(forward_demodulation,[status(thm)],[f203,f315]) ).

fof(f317,plain,
    ! [X0] : xor(X0,X0) = and(X0,not(X0)),
    inference(forward_demodulation,[status(thm)],[f27,f316]) ).

fof(f318,plain,
    ! [X0] : xor(X0,X0) = falsehood,
    inference(forward_demodulation,[status(thm)],[f228,f317]) ).

fof(f345,plain,
    falsehood != falsehood,
    inference(backward_demodulation,[status(thm)],[f318,f34]) ).

fof(f346,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f345]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 20:27:12 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.6.0
% 0.14/0.33  % Refutation found
% 0.14/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.35  % Elapsed time: 0.037108 seconds
% 0.14/0.35  % CPU time: 0.227862 seconds
% 0.14/0.35  % Total memory used: 16.423 MB
% 0.14/0.35  % Net memory used: 16.272 MB
%------------------------------------------------------------------------------