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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : KRS156+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n023.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 : Thu Jul 24 08:46:46 PM UTC 2025

% Result   : Theorem 0.18s 0.34s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   66 (  31 unt;   0 def)
%            Number of atoms       :  149 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  150 (  67   ~;  61   |;  16   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (   2 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,plain,
    ( ! [X] :
        ( cowlThing(X)
        & ~ cowlNothing(X) )
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & cC116(iV5475)
    & cC140(iV5475)
    & cowlThing(iV5475)
    & cC138(iV5475) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(the_axiom_negated,plain,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & cC116(iV5475)
      & cC140(iV5475)
      & cowlThing(iV5475)
      & cC138(iV5475) ),
    inference(negate_conjecture,[status(cth)],[the_axiom]) ).

cnf(343,plain,
    ( ~ cowlThing(iV5475)
    | ~ cowlThing(sK161)
    | ~ xsd_integer(sK162)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK161)
    | xsd_string(sK162) ),
    inference(cnf,[status(esa)],[the_axiom_negated]) ).

cnf(l0,plain,
    ( ~ cowlThing(iV5475)
    | ~ cowlThing(sK161)
    | ~ xsd_integer(sK162)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK161)
    | xsd_string(sK162) ),
    inference(instantiation,[status(thm)],[343]) ).

cnf(344,plain,
    ( ~ cowlThing(iV5475)
    | ~ cowlThing(sK161)
    | ~ xsd_string(sK162)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK161)
    | xsd_integer(sK162) ),
    inference(cnf,[status(esa)],[the_axiom_negated]) ).

cnf(l1,plain,
    ( ~ cowlThing(iV5475)
    | ~ cowlThing(sK161)
    | ~ xsd_string(sK162)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK161)
    | xsd_integer(sK162) ),
    inference(instantiation,[status(thm)],[344]) ).

fof(axiom_129,plain,
    cowlThing(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).

cnf(327,plain,
    cowlThing(iV5475),
    inference(cnf,[status(esa)],[axiom_129]) ).

cnf(l2,plain,
    cowlThing(iV5475),
    inference(instantiation,[status(thm)],[327]) ).

fof(axiom_25,plain,
    ! [X] :
      ( cC116(X)
    <=> ( cTOP(X)
        & cC114xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

cnf(61,plain,
    ( ~ cC114xcomp(X0)
    | ~ cTOP(X0)
    | cC116(X0) ),
    inference(cnf,[status(esa)],[axiom_25]) ).

cnf(l3,plain,
    ( ~ cC114xcomp(iV5475)
    | ~ cTOP(iV5475)
    | cC116(iV5475) ),
    inference(instantiation,[status(thm)],[61]) ).

fof(axiom_0,plain,
    ! [X] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

cnf(1,plain,
    ~ cowlNothing(X0),
    inference(cnf,[status(esa)],[axiom_0]) ).

cnf(l4,plain,
    ~ cowlNothing(sK161),
    inference(instantiation,[status(thm)],[1]) ).

cnf(0,plain,
    cowlThing(X0),
    inference(cnf,[status(esa)],[axiom_0]) ).

cnf(l5,plain,
    cowlThing(sK161),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l6,plain,
    cowlThing(iV5475),
    inference(instantiation,[status(thm)],[327]) ).

cnf(l14,plain,
    ~ cowlNothing(sK161),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l16,plain,
    ( ~ cowlThing(iV5475)
    | ~ cowlThing(sK161)
    | ~ xsd_string(sK162)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK161)
    | xsd_integer(sK162) ),
    inference(instantiation,[status(thm)],[344]) ).

cnf(l18,plain,
    cowlThing(sK161),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l32,plain,
    cowlThing(iV5475),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l29,plain,
    ~ cowlNothing(sK161),
    inference(instantiation,[status(thm)],[1]) ).

fof(axiom_49,plain,
    ! [X] :
      ( cC140(X)
    <=> ( cTOP(X)
        & cC138(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).

cnf(122,plain,
    ( ~ cC140(X0)
    | cC138(X0) ),
    inference(cnf,[status(esa)],[axiom_49]) ).

cnf(l47,plain,
    ( ~ cC140(iV5475)
    | cC138(iV5475) ),
    inference(instantiation,[status(thm)],[122]) ).

fof(axiom_130,plain,
    cC114xcomp(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_130) ).

cnf(328,plain,
    cC114xcomp(iV5475),
    inference(cnf,[status(esa)],[axiom_130]) ).

cnf(l13,plain,
    cC114xcomp(iV5475),
    inference(instantiation,[status(thm)],[328]) ).

fof(axiom_1,plain,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

cnf(3,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

cnf(l15,plain,
    ( xsd_string(sK162)
    | xsd_integer(sK162) ),
    inference(instantiation,[status(thm)],[3]) ).

fof(axiom_127,plain,
    ! [X] :
      ( cTEST(X)
    <=> ( cC140(X)
        & cC116(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).

cnf(323,plain,
    ( ~ cTEST(X0)
    | cC140(X0) ),
    inference(cnf,[status(esa)],[axiom_127]) ).

cnf(l22,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[323]) ).

fof(axiom_131,plain,
    cTEST(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).

cnf(329,plain,
    cTEST(iV5475),
    inference(cnf,[status(esa)],[axiom_131]) ).

cnf(l24,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(l9,plain,
    ( ~ cC114xcomp(iV5475)
    | ~ cTOP(iV5475)
    | cC116(iV5475) ),
    inference(instantiation,[status(thm)],[61]) ).

cnf(l30,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[323]) ).

cnf(l31,plain,
    cowlThing(sK161),
    inference(instantiation,[status(thm)],[0]) ).

fof(axiom_128,plain,
    cTOP(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).

cnf(326,plain,
    cTOP(iV5475),
    inference(cnf,[status(esa)],[axiom_128]) ).

cnf(l8,plain,
    cTOP(iV5475),
    inference(instantiation,[status(thm)],[326]) ).

cnf(121,plain,
    ( ~ cC140(X0)
    | cTOP(X0) ),
    inference(cnf,[status(esa)],[axiom_49]) ).

cnf(l59,plain,
    ( ~ cC140(iV5475)
    | cTOP(iV5475) ),
    inference(instantiation,[status(thm)],[121]) ).

cnf(l54,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[323]) ).

cnf(l11,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[323]) ).

cnf(l60,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[323]) ).

cnf(l7,plain,
    ( ~ cC140(iV5475)
    | cC138(iV5475) ),
    inference(instantiation,[status(thm)],[122]) ).

cnf(324,plain,
    ( ~ cTEST(X0)
    | cC116(X0) ),
    inference(cnf,[status(esa)],[axiom_127]) ).

cnf(l40,plain,
    ( ~ cTEST(iV5475)
    | cC116(iV5475) ),
    inference(instantiation,[status(thm)],[324]) ).

cnf(l25,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[323]) ).

cnf(l61,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(l20,plain,
    ( ~ cC140(iV5475)
    | cC138(iV5475) ),
    inference(instantiation,[status(thm)],[122]) ).

cnf(l51,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(l34,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[323]) ).

cnf(l46,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(l42,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(l12,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(2,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

cnf(l33,plain,
    ( ~ xsd_string(sK162)
    | ~ xsd_integer(sK162) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l63,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(l55,plain,
    cTEST(iV5475),
    inference(instantiation,[status(thm)],[329]) ).

cnf(l10,plain,
    cC114xcomp(iV5475),
    inference(instantiation,[status(thm)],[328]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l14,l16,l18,l32,l29,l47,l13,l15,l22,l24,l9,l30,l31,l8,l59,l54,l11,l60,l7,l40,l25,l61,l20,l51,l34,l46,l42,l12,l33,l63,l55,l10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS156+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Jul 20 22:16:19 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 9
% 0.12/0.34  % launching worker at depth: 10
% 0.18/0.34  % launching worker at depth: 11
% 0.18/0.34  % SZS status Theorem for theBenchmark
% 0.18/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------