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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV365+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 04:46:47 PM UTC 2025

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  13 unt;   0 def)
%            Number of atoms       :   26 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   7   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   27 (   8 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l1_co,plain,
    ! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_co) ).

fof(l1_co_negated,plain,
    ~ ! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)),
    inference(negate_conjecture,[status(cth)],[l1_co]) ).

cnf(86,plain,
    i(triple(sK8,create_slb,sK10)) != i(triple(sK9,create_slb,sK11)),
    inference(cnf,[status(esa)],[l1_co_negated]) ).

cnf(l0,plain,
    i(triple(sK8,create_slb,sK10)) != i(triple(sK9,create_slb,sK11)),
    inference(instantiation,[status(thm)],[86]) ).

fof(ax9,plain,
    ! [U,V,W] :
      ( contains_pq(insert_pq(U,V),W)
    <=> ( contains_pq(U,W)
        | V = W ) ),
    file('Axioms/SWV007+1.ax',ax9) ).

cnf(10,plain,
    ( ~ contains_pq(insert_pq(X0,X1),X2)
    | X1 = X2
    | contains_pq(X0,X2) ),
    inference(cnf,[status(esa)],[ax9]) ).

cnf(l1,plain,
    ( ~ contains_pq(insert_pq(create_pq,i(triple(sK8,create_slb,sK10))),i(triple(sK9,create_slb,sK11)))
    | i(triple(sK8,create_slb,sK10)) = i(triple(sK9,create_slb,sK11))
    | contains_pq(create_pq,i(triple(sK9,create_slb,sK11))) ),
    inference(instantiation,[status(thm)],[10]) ).

fof(ax8,plain,
    ! [U] : ~ contains_pq(create_pq,U),
    file('Axioms/SWV007+1.ax',ax8) ).

cnf(9,plain,
    ~ contains_pq(create_pq,X0),
    inference(cnf,[status(esa)],[ax8]) ).

cnf(l3,plain,
    ~ contains_pq(create_pq,i(triple(sK9,create_slb,sK11))),
    inference(instantiation,[status(thm)],[9]) ).

cnf(12,plain,
    ( X0 != X1
    | contains_pq(insert_pq(X2,X0),X1) ),
    inference(cnf,[status(esa)],[ax9]) ).

cnf(l4,plain,
    ( i(triple(sK8,create_slb,sK10)) != create_pq
    | contains_pq(insert_pq(i(triple(X0_10,create_slb,X1_10)),i(triple(sK8,create_slb,sK10))),create_pq) ),
    inference(instantiation,[status(thm)],[12]) ).

fof(ax54,plain,
    ! [U,V] : i(triple(U,create_slb,V)) = create_pq,
    file('Axioms/SWV007+4.ax',ax54) ).

cnf(66,plain,
    i(triple(X0,create_slb,X1)) = create_pq,
    inference(cnf,[status(esa)],[ax54]) ).

cnf(l8,plain,
    i(triple(sK9,create_slb,sK11)) = create_pq,
    inference(instantiation,[status(thm)],[66]) ).

cnf(l6,plain,
    i(triple(sK8,create_slb,sK10)) = create_pq,
    inference(instantiation,[status(thm)],[66]) ).

cnf(l10,plain,
    i(triple(X0_10,create_slb,X1_10)) = create_pq,
    inference(instantiation,[status(thm)],[66]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l8,l6,l10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV365+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n017.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 : Tue Jul 22 09:04:34 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % launching worker at depth: 2
% 0.13/0.35  % launching worker at depth: 4
% 0.13/0.35  % launching worker at depth: 1
% 0.13/0.35  % launching worker at depth: 5
% 0.13/0.35  % launching worker at depth: 3
% 0.13/0.35  % launching worker at depth: 6
% 0.13/0.35  % launching worker at depth: 7
% 0.13/0.35  % launching worker at depth: 8
% 0.13/0.35  % launching worker at depth: 9
% 0.13/0.35  % launching worker at depth: 10
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------