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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : PUZ131+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.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 : Fri Jul 25 01:24:40 PM UTC 2025

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  19 unt;   0 def)
%            Number of atoms       :   49 (   3 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   38 (  17   ~;  14   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(teaching_conjecture,plain,
    taughtby(michael,victor),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',teaching_conjecture) ).

fof(teaching_conjecture_negated,plain,
    ~ taughtby(michael,victor),
    inference(negate_conjecture,[status(cth)],[teaching_conjecture]) ).

cnf(19,plain,
    ~ taughtby(michael,victor),
    inference(cnf,[status(esa)],[teaching_conjecture_negated]) ).

cnf(l0,plain,
    ~ taughtby(michael,victor),
    inference(instantiation,[status(thm)],[19]) ).

fof(student_enrolled_taught,plain,
    ! [X,Y] :
      ( ( student(X)
        & course(Y) )
     => ( enrolled(X,Y)
       => ! [Z] :
            ( professor(Z)
           => ( teaches(Z,Y)
             => taughtby(X,Z) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_taught) ).

cnf(16,plain,
    ( ~ student(X0)
    | ~ professor(X1)
    | ~ course(X2)
    | ~ teaches(X1,X2)
    | ~ enrolled(X0,X2)
    | taughtby(X0,X1) ),
    inference(cnf,[status(esa)],[student_enrolled_taught]) ).

cnf(l3,plain,
    ( ~ student(michael)
    | ~ professor(coordinatorof(csc410))
    | ~ course(csc410)
    | ~ teaches(coordinatorof(csc410),csc410)
    | ~ enrolled(michael,csc410)
    | taughtby(michael,coordinatorof(csc410)) ),
    inference(instantiation,[status(thm)],[16]) ).

fof(csc410_type,plain,
    course(csc410),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',csc410_type) ).

cnf(5,plain,
    course(csc410),
    inference(cnf,[status(esa)],[csc410_type]) ).

cnf(l8,plain,
    course(csc410),
    inference(instantiation,[status(thm)],[5]) ).

fof(coordinator_teaches,plain,
    ! [X] :
      ( course(X)
     => teaches(coordinatorof(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_teaches) ).

cnf(15,plain,
    ( ~ course(X0)
    | teaches(coordinatorof(X0),X0) ),
    inference(cnf,[status(esa)],[coordinator_teaches]) ).

cnf(l9,plain,
    ( ~ course(csc410)
    | teaches(coordinatorof(csc410),csc410) ),
    inference(instantiation,[status(thm)],[15]) ).

fof(victor_coordinator_csc410_axiom,plain,
    coordinatorof(csc410) = victor,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).

cnf(18,plain,
    coordinatorof(csc410) = victor,
    inference(cnf,[status(esa)],[victor_coordinator_csc410_axiom]) ).

cnf(l6,plain,
    coordinatorof(csc410) = victor,
    inference(instantiation,[status(thm)],[18]) ).

fof(michael_type,plain,
    student(michael),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_type) ).

cnf(3,plain,
    student(michael),
    inference(cnf,[status(esa)],[michael_type]) ).

cnf(l7,plain,
    student(michael),
    inference(instantiation,[status(thm)],[3]) ).

fof(michael_enrolled_csc410_axiom,plain,
    enrolled(michael,csc410),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).

cnf(17,plain,
    enrolled(michael,csc410),
    inference(cnf,[status(esa)],[michael_enrolled_csc410_axiom]) ).

cnf(l5,plain,
    enrolled(michael,csc410),
    inference(instantiation,[status(thm)],[17]) ).

cnf(l15,plain,
    course(csc410),
    inference(instantiation,[status(thm)],[5]) ).

fof(coordinator_of_type,plain,
    ! [A] :
      ( course(A)
     => professor(coordinatorof(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_of_type) ).

cnf(6,plain,
    ( ~ course(X0)
    | professor(coordinatorof(X0)) ),
    inference(cnf,[status(esa)],[coordinator_of_type]) ).

cnf(l14,plain,
    ( ~ course(csc410)
    | professor(coordinatorof(csc410)) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l18,plain,
    course(csc410),
    inference(instantiation,[status(thm)],[5]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l3,l8,l9,l6,l7,l5,l15,l14,l18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ131+1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n020.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 Jul 21 16:15:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.35  % launching worker at depth: 9
% 0.13/0.35  % launching worker at depth: 10
% 0.13/0.35  % launching worker at depth: 11
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------