TSTP Solution File: PUZ131-10 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : PUZ131-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:37:10 EDT 2024

% Result   : Unsatisfiable 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  32 unt;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-4 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    student(michael) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    professor(victor) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    course(csc410) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X] : ifeq(course(X),true,teaches(coordinatorof(X),X),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [Z,Y,X] : ifeq(teaches(Z,Y),true,ifeq(enrolled(X,Y),true,ifeq(course(Y),true,ifeq(professor(Z),true,ifeq(student(X),true,taughtby(X,Z),true),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    enrolled(michael,csc410) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    coordinatorof(csc410) = victor,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    taughtby(michael,victor) != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f26,plain,
    student(michael) = true,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f27,plain,
    professor(victor) = true,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f28,plain,
    course(csc410) = true,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f38,plain,
    ! [X0] : ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f39,plain,
    ! [X0,X1,X2] : ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,ifeq(course(X1),true,ifeq(professor(X0),true,ifeq(student(X2),true,taughtby(X2,X0),true),true),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f40,plain,
    enrolled(michael,csc410) = true,
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f41,plain,
    coordinatorof(csc410) = victor,
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f42,plain,
    taughtby(michael,victor) != true,
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f43,plain,
    ! [X0] : ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(student(michael),true,taughtby(michael,X0),true),true),true),true),true) = true,
    inference(paramodulation,[status(thm)],[f40,f39]) ).

fof(f44,plain,
    ! [X0] : ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(true,true,taughtby(michael,X0),true),true),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f26,f43]) ).

fof(f66,plain,
    ! [X0] : ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),true) = true,
    inference(backward_demodulation,[status(thm)],[f22,f44]) ).

fof(f67,plain,
    ! [X0] : ifeq(teaches(X0,csc410),true,ifeq(course(csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f22,f66]) ).

fof(f427,plain,
    ! [X0] : ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f28,f67]) ).

fof(f428,plain,
    ! [X0] : ifeq(teaches(X0,csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f22,f427]) ).

fof(f721,plain,
    ifeq(true,true,teaches(coordinatorof(csc410),csc410),true) = true,
    inference(paramodulation,[status(thm)],[f28,f38]) ).

fof(f722,plain,
    teaches(coordinatorof(csc410),csc410) = true,
    inference(forward_demodulation,[status(thm)],[f22,f721]) ).

fof(f723,plain,
    teaches(victor,csc410) = true,
    inference(forward_demodulation,[status(thm)],[f41,f722]) ).

fof(f729,plain,
    ifeq(true,true,ifeq(professor(victor),true,taughtby(michael,victor),true),true) = true,
    inference(paramodulation,[status(thm)],[f723,f428]) ).

fof(f730,plain,
    ifeq(professor(victor),true,taughtby(michael,victor),true) = true,
    inference(forward_demodulation,[status(thm)],[f22,f729]) ).

fof(f731,plain,
    ifeq(true,true,taughtby(michael,victor),true) = true,
    inference(forward_demodulation,[status(thm)],[f27,f730]) ).

fof(f732,plain,
    taughtby(michael,victor) = true,
    inference(forward_demodulation,[status(thm)],[f22,f731]) ).

fof(f733,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f732,f42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : PUZ131-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n013.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Mon Apr 29 22:04:34 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.6.0
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.017590 seconds
% 0.07/0.28  % CPU time: 0.065843 seconds
% 0.07/0.28  % Total memory used: 7.542 MB
% 0.07/0.28  % Net memory used: 7.490 MB
%------------------------------------------------------------------------------