TSTP Solution File: LCL192-10 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL192-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:26:37 EDT 2024

% Result   : Unsatisfiable 254.29s 32.36s
% Output   : CNFRefutation 259.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   45 (  45 unt;   0 def)
%            Number of atoms       :   45 (  44 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-4 aty)
%            Number of variables   :  122 ( 122   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] : axiom(implies(or(A,B),or(B,A))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] : implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] : ifeq(axiom(X),true,theorem(X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [Y,X] : ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    theorem(implies(or(or(p,q),r),or(p,or(q,r)))) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f14,plain,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f15,plain,
    ! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f16,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f17,plain,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f18,plain,
    ! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f19,plain,
    ! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    theorem(implies(or(or(p,q),r),or(p,or(q,r)))) != true,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f25,plain,
    ! [X0,X1] : true = ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true),
    inference(paramodulation,[status(thm)],[f14,f18]) ).

fof(f29,plain,
    ! [X0,X1] : true = theorem(implies(or(X0,X1),or(X1,X0))),
    inference(forward_demodulation,[status(thm)],[f11,f25]) ).

fof(f53,plain,
    ! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true),
    inference(paramodulation,[status(thm)],[f15,f18]) ).

fof(f58,plain,
    ! [X0,X1,X2] : true = theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f11,f53]) ).

fof(f59,plain,
    ! [X0,X1,X2] : true = axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
    inference(paramodulation,[status(thm)],[f17,f16]) ).

fof(f61,plain,
    ! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),true),
    inference(paramodulation,[status(thm)],[f16,f18]) ).

fof(f62,plain,
    ! [X0,X1,X2] : true = axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f17,f59]) ).

fof(f64,plain,
    ! [X0,X1,X2] : true = theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f11,f61]) ).

fof(f105,plain,
    ! [X0,X1,X2] : true = ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true),
    inference(paramodulation,[status(thm)],[f29,f19]) ).

fof(f129,plain,
    ! [X0,X1,X2] : true = ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,theorem(X2),true),
    inference(forward_demodulation,[status(thm)],[f11,f105]) ).

fof(f139,plain,
    ! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),X3)),true,ifeq(true,true,theorem(X3),true),true),
    inference(paramodulation,[status(thm)],[f58,f19]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),X3)),true,theorem(X3),true),
    inference(forward_demodulation,[status(thm)],[f11,f139]) ).

fof(f150,plain,
    ! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),true),
    inference(paramodulation,[status(thm)],[f62,f18]) ).

fof(f151,plain,
    ! [X0,X1,X2] : true = theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f11,f150]) ).

fof(f855,plain,
    ! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),true),
    inference(paramodulation,[status(thm)],[f64,f129]) ).

fof(f908,plain,
    ! [X0,X1,X2] : true = theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f11,f855]) ).

fof(f1520,plain,
    ! [X0,X1,X2,X3] : true = ifeq(true,true,theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X2,or(X1,X3))))),true),
    inference(paramodulation,[status(thm)],[f151,f146]) ).

fof(f1531,plain,
    ! [X0,X1,X2] : true = ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(implies(implies(X2,X0),implies(X2,X1))),true),true),
    inference(paramodulation,[status(thm)],[f151,f19]) ).

fof(f1543,plain,
    ! [X0,X1,X2,X3] : true = theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X2,or(X1,X3))))),
    inference(forward_demodulation,[status(thm)],[f11,f1520]) ).

fof(f1547,plain,
    ! [X0,X1,X2] : true = ifeq(theorem(implies(X0,X1)),true,theorem(implies(implies(X2,X0),implies(X2,X1))),true),
    inference(forward_demodulation,[status(thm)],[f11,f1531]) ).

fof(f6103,plain,
    ! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(or(X0,X1),X2),or(X0,or(X2,X1)))),true),
    inference(paramodulation,[status(thm)],[f1543,f129]) ).

fof(f6143,plain,
    ! [X0,X1,X2] : true = theorem(implies(or(or(X0,X1),X2),or(X0,or(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f11,f6103]) ).

fof(f6838,plain,
    ! [X0,X1,X2,X3] : true = ifeq(true,true,theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X1,or(X3,X2))))),true),
    inference(paramodulation,[status(thm)],[f908,f1547]) ).

fof(f6916,plain,
    ! [X0,X1,X2,X3] : true = theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X1,or(X3,X2))))),
    inference(forward_demodulation,[status(thm)],[f11,f6838]) ).

fof(f46705,plain,
    ! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(or(X0,X1),X2),or(X0,or(X2,X1))),X3)),true,ifeq(true,true,theorem(X3),true),true),
    inference(paramodulation,[status(thm)],[f6143,f19]) ).

fof(f46742,plain,
    ! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(or(X0,X1),X2),or(X0,or(X2,X1))),X3)),true,theorem(X3),true),
    inference(forward_demodulation,[status(thm)],[f11,f46705]) ).

fof(f665369,plain,
    ! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(or(X0,X1),X2),or(X0,or(X1,X2)))),true),
    inference(paramodulation,[status(thm)],[f6916,f46742]) ).

fof(f666953,plain,
    ! [X0,X1,X2] : true = theorem(implies(or(or(X0,X1),X2),or(X0,or(X1,X2)))),
    inference(forward_demodulation,[status(thm)],[f11,f665369]) ).

fof(f666954,plain,
    $false,
    inference(resolution,[status(thm)],[f666953,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL192-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n010.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 : Mon Apr 29 20:05:05 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 254.29/32.36  % Refutation found
% 254.29/32.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 254.29/32.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 261.59/34.12  % Elapsed time: 33.527767 seconds
% 261.59/34.12  % CPU time: 250.571605 seconds
% 261.59/34.12  % Total memory used: 2.624 GB
% 261.59/34.12  % Net memory used: 2.489 GB
%------------------------------------------------------------------------------