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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SEU196+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n025.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 03:44:48 PM UTC 2025

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   31 (  13   ~;  10   |;   1   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t99_relat_1,plain,
    ! [A,B] :
      ( relation(B)
     => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).

fof(t99_relat_1_negated,plain,
    ~ ! [A,B] :
        ( relation(B)
       => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    inference(negate_conjecture,[status(cth)],[t99_relat_1]) ).

cnf(37,plain,
    relation(sK9),
    inference(cnf,[status(esa)],[t99_relat_1_negated]) ).

cnf(l0,plain,
    relation(sK9),
    inference(instantiation,[status(thm)],[37]) ).

fof(t25_relat_1,plain,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( relation(B)
         => ( subset(A,B)
           => ( subset(relation_dom(A),relation_dom(B))
              & subset(relation_rng(A),relation_rng(B)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).

cnf(27,plain,
    ( ~ relation(X0)
    | ~ relation(X1)
    | ~ subset(X0,X1)
    | subset(relation_rng(X0),relation_rng(X1)) ),
    inference(cnf,[status(esa)],[t25_relat_1]) ).

cnf(l1,plain,
    ( ~ relation(relation_dom_restriction(sK9,sK8))
    | ~ relation(sK9)
    | ~ subset(relation_dom_restriction(sK9,sK8),sK9)
    | subset(relation_rng(relation_dom_restriction(sK9,sK8)),relation_rng(sK9)) ),
    inference(instantiation,[status(thm)],[27]) ).

fof(t88_relat_1,plain,
    ! [A,B] :
      ( relation(B)
     => subset(relation_dom_restriction(B,A),B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_relat_1) ).

cnf(35,plain,
    ( ~ relation(X0)
    | subset(relation_dom_restriction(X0,X1),X0) ),
    inference(cnf,[status(esa)],[t88_relat_1]) ).

cnf(l3,plain,
    ( ~ relation(sK9)
    | subset(relation_dom_restriction(sK9,sK8),sK9) ),
    inference(instantiation,[status(thm)],[35]) ).

cnf(38,plain,
    ~ subset(relation_rng(relation_dom_restriction(sK9,sK8)),relation_rng(sK9)),
    inference(cnf,[status(esa)],[t99_relat_1_negated]) ).

cnf(l4,plain,
    ~ subset(relation_rng(relation_dom_restriction(sK9,sK8)),relation_rng(sK9)),
    inference(instantiation,[status(thm)],[38]) ).

fof(dt_k7_relat_1,plain,
    ! [A,B] :
      ( relation(A)
     => relation(relation_dom_restriction(A,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).

cnf(2,plain,
    ( ~ relation(X0)
    | relation(relation_dom_restriction(X0,X1)) ),
    inference(cnf,[status(esa)],[dt_k7_relat_1]) ).

cnf(l2,plain,
    ( ~ relation(sK9)
    | relation(relation_dom_restriction(sK9,sK8)) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU196+1 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n025.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 23:52:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.34  % launching worker at depth: 4
% 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: 6
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.35  % launching worker at depth: 9
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------