TSTP Solution File: COM023+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 : Wed Aug 30 18:42:08 EDT 2023

% Result   : Theorem 0.45s 1.17s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   69 (  10 unt;   0 def)
%            Number of atoms       :  318 (   1 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  415 ( 166   ~; 171   |;  67   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-3 aty)
%            Number of variables   :  122 (   0 sgn;  72   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ( sdtmndtasgtdt0(X1,X0,X3)
              & sdtmndtasgtdt0(X1,X0,X2)
              & aElement0(X3)
              & aElement0(X2)
              & aElement0(X1) )
           => ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCRDef) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,xR,X2)
        & sdtmndtasgtdt0(X0,xR,X1)
        & aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ? [X3] :
          ( sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & aElement0(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).

fof(f18,conjecture,
    isConfluent0(xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f19,negated_conjecture,
    ~ isConfluent0(xR),
    inference(negated_conjecture,[],[f18]) ).

fof(f24,plain,
    ~ isConfluent0(xR),
    inference(flattening,[],[f19]) ).

fof(f35,plain,
    ! [X0] :
      ( ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ sdtmndtasgtdt0(X1,X0,X3)
            | ~ sdtmndtasgtdt0(X1,X0,X2)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f36,plain,
    ! [X0] :
      ( ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ sdtmndtasgtdt0(X1,X0,X3)
            | ~ sdtmndtasgtdt0(X1,X0,X2)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f35]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & aElement0(X3) )
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & aElement0(X3) )
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f45]) ).

fof(f47,plain,
    ! [X0] :
      ( sP0(X0)
    <=> ! [X1,X2,X3] :
          ( ? [X4] :
              ( sdtmndtasgtdt0(X3,X0,X4)
              & sdtmndtasgtdt0(X2,X0,X4)
              & aElement0(X4) )
          | ~ sdtmndtasgtdt0(X1,X0,X3)
          | ~ sdtmndtasgtdt0(X1,X0,X2)
          | ~ aElement0(X3)
          | ~ aElement0(X2)
          | ~ aElement0(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f48,plain,
    ! [X0] :
      ( ( isConfluent0(X0)
      <=> sP0(X0) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f49,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(definition_folding,[],[f36,f48,f47]) ).

fof(f60,plain,
    ! [X0] :
      ( ( ( isConfluent0(X0)
          | ~ sP0(X0) )
        & ( sP0(X0)
          | ~ isConfluent0(X0) ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f61,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & sdtmndtasgtdt0(X1,X0,X3)
            & sdtmndtasgtdt0(X1,X0,X2)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ sdtmndtasgtdt0(X1,X0,X3)
            | ~ sdtmndtasgtdt0(X1,X0,X2)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f62,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & sdtmndtasgtdt0(X1,X0,X3)
            & sdtmndtasgtdt0(X1,X0,X2)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X5,X6,X7] :
            ( ? [X8] :
                ( sdtmndtasgtdt0(X7,X0,X8)
                & sdtmndtasgtdt0(X6,X0,X8)
                & aElement0(X8) )
            | ~ sdtmndtasgtdt0(X5,X0,X7)
            | ~ sdtmndtasgtdt0(X5,X0,X6)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f61]) ).

fof(f63,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ! [X4] :
              ( ~ sdtmndtasgtdt0(X3,X0,X4)
              | ~ sdtmndtasgtdt0(X2,X0,X4)
              | ~ aElement0(X4) )
          & sdtmndtasgtdt0(X1,X0,X3)
          & sdtmndtasgtdt0(X1,X0,X2)
          & aElement0(X3)
          & aElement0(X2)
          & aElement0(X1) )
     => ( ! [X4] :
            ( ~ sdtmndtasgtdt0(sK7(X0),X0,X4)
            | ~ sdtmndtasgtdt0(sK6(X0),X0,X4)
            | ~ aElement0(X4) )
        & sdtmndtasgtdt0(sK5(X0),X0,sK7(X0))
        & sdtmndtasgtdt0(sK5(X0),X0,sK6(X0))
        & aElement0(sK7(X0))
        & aElement0(sK6(X0))
        & aElement0(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ! [X0,X6,X7] :
      ( ? [X8] :
          ( sdtmndtasgtdt0(X7,X0,X8)
          & sdtmndtasgtdt0(X6,X0,X8)
          & aElement0(X8) )
     => ( sdtmndtasgtdt0(X7,X0,sK8(X0,X6,X7))
        & sdtmndtasgtdt0(X6,X0,sK8(X0,X6,X7))
        & aElement0(sK8(X0,X6,X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( ! [X4] :
              ( ~ sdtmndtasgtdt0(sK7(X0),X0,X4)
              | ~ sdtmndtasgtdt0(sK6(X0),X0,X4)
              | ~ aElement0(X4) )
          & sdtmndtasgtdt0(sK5(X0),X0,sK7(X0))
          & sdtmndtasgtdt0(sK5(X0),X0,sK6(X0))
          & aElement0(sK7(X0))
          & aElement0(sK6(X0))
          & aElement0(sK5(X0)) ) )
      & ( ! [X5,X6,X7] :
            ( ( sdtmndtasgtdt0(X7,X0,sK8(X0,X6,X7))
              & sdtmndtasgtdt0(X6,X0,sK8(X0,X6,X7))
              & aElement0(sK8(X0,X6,X7)) )
            | ~ sdtmndtasgtdt0(X5,X0,X7)
            | ~ sdtmndtasgtdt0(X5,X0,X6)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f62,f64,f63]) ).

fof(f83,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & aElement0(X3) )
     => ( sdtmndtasgtdt0(X2,xR,sK17(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
        & aElement0(sK17(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X2,xR,sK17(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
        & aElement0(sK17(X1,X2)) )
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f46,f83]) ).

fof(f97,plain,
    ! [X0] :
      ( isConfluent0(X0)
      | ~ sP0(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f101,plain,
    ! [X0] :
      ( sP0(X0)
      | aElement0(sK5(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f102,plain,
    ! [X0] :
      ( sP0(X0)
      | aElement0(sK6(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f103,plain,
    ! [X0] :
      ( sP0(X0)
      | aElement0(sK7(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f104,plain,
    ! [X0] :
      ( sP0(X0)
      | sdtmndtasgtdt0(sK5(X0),X0,sK6(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f105,plain,
    ! [X0] :
      ( sP0(X0)
      | sdtmndtasgtdt0(sK5(X0),X0,sK7(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f106,plain,
    ! [X0,X4] :
      ( sP0(X0)
      | ~ sdtmndtasgtdt0(sK7(X0),X0,X4)
      | ~ sdtmndtasgtdt0(sK6(X0),X0,X4)
      | ~ aElement0(X4) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f107,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f130,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK17(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X2,xR,sK17(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f136,plain,
    ~ isConfluent0(xR),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_60,plain,
    ( ~ sP0(X0)
    | ~ sP1(X0)
    | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_62,plain,
    ( ~ sdtmndtasgtdt0(sK7(X0),X0,X1)
    | ~ sdtmndtasgtdt0(sK6(X0),X0,X1)
    | ~ aElement0(X1)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_63,plain,
    ( sdtmndtasgtdt0(sK5(X0),X0,sK7(X0))
    | sP0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_64,plain,
    ( sdtmndtasgtdt0(sK5(X0),X0,sK6(X0))
    | sP0(X0) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_65,plain,
    ( aElement0(sK7(X0))
    | sP0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_66,plain,
    ( aElement0(sK6(X0))
    | sP0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_67,plain,
    ( aElement0(sK5(X0))
    | sP0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_71,plain,
    ( ~ aRewritingSystem0(X0)
    | sP1(X0) ),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_94,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_97,plain,
    ( ~ sdtmndtasgtdt0(X0,xR,X1)
    | ~ sdtmndtasgtdt0(X0,xR,X2)
    | ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sdtmndtasgtdt0(X1,xR,sK17(X2,X1)) ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_98,plain,
    ( ~ sdtmndtasgtdt0(X0,xR,X1)
    | ~ sdtmndtasgtdt0(X0,xR,X2)
    | ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sdtmndtasgtdt0(X2,xR,sK17(X2,X1)) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_99,plain,
    ( ~ sdtmndtasgtdt0(X0,xR,X1)
    | ~ sdtmndtasgtdt0(X0,xR,X2)
    | ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | aElement0(sK17(X2,X1)) ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_100,negated_conjecture,
    ~ isConfluent0(xR),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_105,plain,
    ( ~ aRewritingSystem0(xR)
    | sP1(xR) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_106,plain,
    ( aElement0(sK5(xR))
    | sP0(xR) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_107,plain,
    ( aElement0(sK6(xR))
    | sP0(xR) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_108,plain,
    ( aElement0(sK7(xR))
    | sP0(xR) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_112,plain,
    ( sdtmndtasgtdt0(sK5(xR),xR,sK6(xR))
    | sP0(xR) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_114,plain,
    ( ~ sP0(xR)
    | ~ sP1(xR)
    | isConfluent0(xR) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_974,plain,
    ( X0 != xR
    | ~ sP0(X0)
    | ~ sP1(X0) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_100]) ).

cnf(c_975,plain,
    ( ~ sP0(xR)
    | ~ sP1(xR) ),
    inference(unflattening,[status(thm)],[c_974]) ).

cnf(c_976,plain,
    ~ sP0(xR),
    inference(global_subsumption_just,[status(thm)],[c_975,c_94,c_100,c_105,c_114]) ).

cnf(c_5285,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(sK7(xR))
    | ~ aElement0(sK5(xR))
    | ~ aElement0(X0)
    | sdtmndtasgtdt0(sK7(xR),xR,sK17(X0,sK7(xR)))
    | sP0(xR) ),
    inference(superposition,[status(thm)],[c_63,c_97]) ).

cnf(c_5286,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(sK7(xR))
    | ~ aElement0(sK5(xR))
    | ~ aElement0(X0)
    | sdtmndtasgtdt0(sK7(xR),xR,sK17(X0,sK7(xR))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5285,c_976]) ).

cnf(c_5325,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(X0)
    | sdtmndtasgtdt0(sK7(xR),xR,sK17(X0,sK7(xR))) ),
    inference(global_subsumption_just,[status(thm)],[c_5286,c_94,c_100,c_105,c_106,c_108,c_114,c_5286]) ).

cnf(c_5571,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(sK7(xR))
    | ~ aElement0(sK5(xR))
    | ~ aElement0(X0)
    | sdtmndtasgtdt0(X0,xR,sK17(X0,sK7(xR)))
    | sP0(xR) ),
    inference(superposition,[status(thm)],[c_63,c_98]) ).

cnf(c_5587,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(sK7(xR))
    | ~ aElement0(sK5(xR))
    | ~ aElement0(X0)
    | sdtmndtasgtdt0(X0,xR,sK17(X0,sK7(xR))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5571,c_976]) ).

cnf(c_5814,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(X0)
    | sdtmndtasgtdt0(X0,xR,sK17(X0,sK7(xR))) ),
    inference(global_subsumption_just,[status(thm)],[c_5587,c_94,c_100,c_105,c_106,c_108,c_114,c_5587]) ).

cnf(c_6068,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(sK7(xR))
    | ~ aElement0(sK5(xR))
    | ~ aElement0(X0)
    | aElement0(sK17(X0,sK7(xR)))
    | sP0(xR) ),
    inference(superposition,[status(thm)],[c_63,c_99]) ).

cnf(c_6098,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(sK7(xR))
    | ~ aElement0(sK5(xR))
    | ~ aElement0(X0)
    | aElement0(sK17(X0,sK7(xR))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6068,c_976]) ).

cnf(c_6321,plain,
    ( ~ sdtmndtasgtdt0(sK6(xR),xR,sK17(X0,sK7(xR)))
    | ~ aElement0(sK17(X0,sK7(xR)))
    | ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(X0)
    | sP0(xR) ),
    inference(superposition,[status(thm)],[c_5325,c_62]) ).

cnf(c_6332,plain,
    ( ~ sdtmndtasgtdt0(sK6(xR),xR,sK17(X0,sK7(xR)))
    | ~ aElement0(sK17(X0,sK7(xR)))
    | ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6321,c_976]) ).

cnf(c_7239,plain,
    ( ~ sdtmndtasgtdt0(sK6(xR),xR,sK17(X0,sK7(xR)))
    | ~ sdtmndtasgtdt0(sK5(xR),xR,X0)
    | ~ aElement0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_6332,c_94,c_100,c_105,c_106,c_108,c_114,c_6098,c_6332]) ).

cnf(c_7248,plain,
    ( ~ sdtmndtasgtdt0(sK5(xR),xR,sK6(xR))
    | ~ aElement0(sK6(xR)) ),
    inference(superposition,[status(thm)],[c_5814,c_7239]) ).

cnf(c_7251,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7248,c_114,c_112,c_107,c_105,c_100,c_94]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 13:30:26 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.45/1.17  % SZS status Started for theBenchmark.p
% 0.45/1.17  % SZS status Theorem for theBenchmark.p
% 0.45/1.17  
% 0.45/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.45/1.17  
% 0.45/1.17  ------  iProver source info
% 0.45/1.17  
% 0.45/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.45/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.45/1.17  git: non_committed_changes: false
% 0.45/1.17  git: last_make_outside_of_git: false
% 0.45/1.17  
% 0.45/1.17  ------ Parsing...
% 0.45/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.45/1.17  
% 0.45/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 0.45/1.17  
% 0.45/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.17  
% 0.45/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.45/1.17  ------ Proving...
% 0.45/1.17  ------ Problem Properties 
% 0.45/1.17  
% 0.45/1.17  
% 0.45/1.17  clauses                                 44
% 0.45/1.17  conjectures                             0
% 0.45/1.17  EPR                                     12
% 0.45/1.17  Horn                                    27
% 0.45/1.17  unary                                   4
% 0.45/1.17  binary                                  10
% 0.45/1.17  lits                                    184
% 0.45/1.17  lits eq                                 1
% 0.45/1.17  fd_pure                                 0
% 0.45/1.17  fd_pseudo                               0
% 0.45/1.17  fd_cond                                 0
% 0.45/1.17  fd_pseudo_cond                          1
% 0.45/1.17  AC symbols                              0
% 0.45/1.17  
% 0.45/1.17  ------ Schedule dynamic 5 is on 
% 0.45/1.17  
% 0.45/1.17  ------ no conjectures: strip conj schedule 
% 0.45/1.17  
% 0.45/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.45/1.17  
% 0.45/1.17  
% 0.45/1.17  ------ 
% 0.45/1.17  Current options:
% 0.45/1.17  ------ 
% 0.45/1.17  
% 0.45/1.17  
% 0.45/1.17  
% 0.45/1.17  
% 0.45/1.17  ------ Proving...
% 0.45/1.17  
% 0.45/1.17  
% 0.45/1.17  % SZS status Theorem for theBenchmark.p
% 0.45/1.17  
% 0.45/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.17  
% 0.45/1.17  
%------------------------------------------------------------------------------