TSTP Solution File: GEO275+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 23:10:49 EDT 2023

% Result   : Theorem 6.65s 1.56s
% Output   : CNFRefutation 6.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f560)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ? [X1] :
      ( rpoint(X1)
      & vd1081 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).

fof(f122,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1081 = X0 ),
    inference(rectify,[],[f8]) ).

fof(f430,plain,
    ( ? [X0] :
        ( vd1095 != X0
        & rcircle(X0)
        & rcenter(vd1080,X0)
        & ron(vd1081,X0) )
   => ( vd1095 != sK1
      & rcircle(sK1)
      & rcenter(vd1080,sK1)
      & ron(vd1081,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f432,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1081 = X0 )
   => ( rpoint(sK2)
      & vd1081 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f433,plain,
    ( rpoint(sK2)
    & vd1081 = sK2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f122,f432]) ).

fof(f558,plain,
    vd1081 = sK2,
    inference(cnf_transformation,[],[f433]) ).

fof(f559,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f433]) ).

cnf(c_51,negated_conjecture,
    rcenter(sK3,sK1),
    inference(cnf_transformation,[],[f797]) ).

cnf(c_54,plain,
    rcenter(sK3,vd1095),
    inference(cnf_transformation,[],[f799]) ).

cnf(c_55,plain,
    ron(sK2,vd1095),
    inference(cnf_transformation,[],[f800]) ).

cnf(c_61,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f559]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( rcircle(X0)
        & rcenter(vd1080,X0)
        & ron(vd1081,X0) )
     => vd1095 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).

fof(f797,plain,
    rcenter(sK3,sK1),
    inference(definition_unfolding,[],[f546,f560]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( rcircle(X0)
          & rcenter(vd1080,X0)
          & ron(vd1081,X0) )
       => vd1095 = X0 ),
    inference(negated_conjecture,[],[f1]) ).

fof(f117,axiom,
    ! [X705,X706,X707] :
      ( ( ? [X710] :
            ( rpoint(X710)
            & X705 = X710 )
        & ? [X709] :
            ( rpoint(X709)
            & X706 = X709 )
        & ? [X708] :
            ( rpoint(X708)
            & X707 = X708 ) )
     => ( vg(X705,X706,X707) = vg(X707,X705,X706)
        & vg(X705,X706,X707) = vg(X705,X707,X706) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).

fof(f1488,plain,
    ! [X3,X4,X5] :
      ( vg(X3,X4,X5) = vg(X5,X3,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1487]) ).

fof(f221,plain,
    ! [X0,X1,X2] :
      ( ( ? [X3] :
            ( rpoint(X3)
            & X0 = X3 )
        & ? [X4] :
            ( rpoint(X4)
            & X1 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X2 = X5 ) )
     => ( vg(X0,X1,X2) = vg(X2,X0,X1)
        & vg(X0,X1,X2) = vg(X0,X2,X1) ) ),
    inference(rectify,[],[f117]) ).

fof(f230,plain,
    ? [X0] :
      ( vd1095 != X0
      & rcircle(X0)
      & rcenter(vd1080,X0)
      & ron(vd1081,X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f231,plain,
    ? [X0] :
      ( vd1095 != X0
      & rcircle(X0)
      & rcenter(vd1080,X0)
      & ron(vd1081,X0) ),
    inference(flattening,[],[f230]) ).

fof(f422,plain,
    ! [X0,X1,X2] :
      ( ( vg(X0,X1,X2) = vg(X2,X0,X1)
        & vg(X0,X1,X2) = vg(X0,X2,X1) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X2 != X5 ) ),
    inference(ennf_transformation,[],[f221]) ).

fof(f423,plain,
    ! [X0,X1,X2] :
      ( ( vg(X0,X1,X2) = vg(X2,X0,X1)
        & vg(X0,X1,X2) = vg(X0,X2,X1) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X2 != X5 ) ),
    inference(flattening,[],[f422]) ).

fof(f431,plain,
    ( vd1095 != sK1
    & rcircle(sK1)
    & rcenter(vd1080,sK1)
    & ron(vd1081,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f231,f430]) ).

fof(f545,plain,
    ron(vd1081,sK1),
    inference(cnf_transformation,[],[f431]) ).

fof(f546,plain,
    rcenter(vd1080,sK1),
    inference(cnf_transformation,[],[f431]) ).

fof(f548,plain,
    vd1095 != sK1,
    inference(cnf_transformation,[],[f431]) ).

fof(f793,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vg(X0,X1,X2) = vg(X0,X2,X1)
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(cnf_transformation,[],[f423]) ).

fof(f794,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vg(X0,X1,X2) = vg(X2,X0,X1)
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(cnf_transformation,[],[f423]) ).

fof(f798,plain,
    ron(sK2,sK1),
    inference(definition_unfolding,[],[f545,f558]) ).

fof(f1486,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vg(X3,X1,X2) = vg(X2,X3,X1)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f794]) ).

fof(f1487,plain,
    ! [X2,X3,X4,X5] :
      ( vg(X3,X4,X2) = vg(X2,X3,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f1486]) ).

fof(f1489,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vg(X3,X2,X1) = vg(X3,X1,X2)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f793]) ).

fof(f1490,plain,
    ! [X2,X3,X4,X5] :
      ( vg(X3,X4,X2) = vg(X3,X2,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f1489]) ).

fof(f119,axiom,
    ! [X717,X718] :
      ( ( ? [X720] :
            ( rpoint(X720)
            & X717 = X720 )
        & ? [X719] :
            ( rpoint(X719)
            & X718 = X719 ) )
     => v0 = vg(X717,X717,X718) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).

fof(f1491,plain,
    ! [X3,X4,X5] :
      ( vg(X3,X4,X5) = vg(X3,X5,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1490]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => v0 = vg(X0,X0,X1) ),
    inference(rectify,[],[f119]) ).

fof(f424,plain,
    ! [X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f223]) ).

fof(f425,plain,
    ! [X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f424]) ).

fof(f44,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f795,plain,
    ! [X2,X3,X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f425]) ).

fof(f630,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f44]) ).

cnf(c_49,negated_conjecture,
    vd1095 != sK1,
    inference(cnf_transformation,[],[f548]) ).

cnf(c_52,negated_conjecture,
    ron(sK2,sK1),
    inference(cnf_transformation,[],[f798]) ).

fof(f106,axiom,
    ! [X599,X600,X601,X602,X603] :
      ( ( ? [X606] :
            ( rpoint(X606)
            & X599 = X606 )
        & ? [X605] :
            ( rpoint(X605)
            & X600 = X605 )
        & ? [X604] :
            ( rpoint(X604)
            & X601 = X604 )
        & rline(X603)
        & X602 = X603
        & X599 != X600
        & ron(X599,X602)
        & ron(X600,X602) )
     => ( v0 = vg(X599,X600,X601)
      <=> ron(X601,X602) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).

fof(f1397,plain,
    ! [X6,X7,X4,X5] :
      ( vd684 = vg(X5,X6,X7)
      | ~ ron(X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X5 = X6
      | ~ ron(X5,X4)
      | ~ ron(X6,X4) ),
    inference(equality_resolution,[],[f1396]) ).

fof(f210,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & X3 = X4
        & X0 != X1
        & ron(X0,X3)
        & ron(X1,X3) )
     => ( v0 = vg(X0,X1,X2)
      <=> ron(X2,X3) ) ),
    inference(rectify,[],[f106]) ).

fof(f400,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( v0 = vg(X0,X1,X2)
      <=> ron(X2,X3) )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | X0 = X1
      | ~ ron(X0,X3)
      | ~ ron(X1,X3) ),
    inference(ennf_transformation,[],[f210]) ).

fof(f401,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( v0 = vg(X0,X1,X2)
      <=> ron(X2,X3) )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | X0 = X1
      | ~ ron(X0,X3)
      | ~ ron(X1,X3) ),
    inference(flattening,[],[f400]) ).

fof(f535,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( v0 = vg(X0,X1,X2)
          | ~ ron(X2,X3) )
        & ( ron(X2,X3)
          | v0 != vg(X0,X1,X2) ) )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | X0 = X1
      | ~ ron(X0,X3)
      | ~ ron(X1,X3) ),
    inference(nnf_transformation,[],[f401]) ).

fof(f773,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | v0 != vg(X0,X1,X2)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X0 = X1
      | ~ ron(X0,X3)
      | ~ ron(X1,X3) ),
    inference(cnf_transformation,[],[f535]) ).

fof(f774,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( v0 = vg(X0,X1,X2)
      | ~ ron(X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X0 = X1
      | ~ ron(X0,X3)
      | ~ ron(X1,X3) ),
    inference(cnf_transformation,[],[f535]) ).

fof(f811,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( vd684 = vg(X0,X1,X2)
      | ~ ron(X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X0 = X1
      | ~ ron(X0,X3)
      | ~ ron(X1,X3) ),
    inference(definition_unfolding,[],[f774,f630]) ).

fof(f812,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | vd684 != vg(X0,X1,X2)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X0 = X1
      | ~ ron(X0,X3)
      | ~ ron(X1,X3) ),
    inference(definition_unfolding,[],[f773,f630]) ).

fof(f1394,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( vd684 = vg(X5,X1,X2)
      | ~ ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X1 = X5
      | ~ ron(X5,X3)
      | ~ ron(X1,X3) ),
    inference(equality_resolution,[],[f811]) ).

fof(f1395,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( vd684 = vg(X5,X6,X2)
      | ~ ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X5 = X6
      | ~ ron(X5,X3)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1394]) ).

fof(f1396,plain,
    ! [X3,X6,X7,X4,X5] :
      ( vd684 = vg(X5,X6,X7)
      | ~ ron(X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X3 != X4
      | X5 = X6
      | ~ ron(X5,X3)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1395]) ).

fof(f1398,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | vd684 != vg(X5,X1,X2)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X1 = X5
      | ~ ron(X5,X3)
      | ~ ron(X1,X3) ),
    inference(equality_resolution,[],[f812]) ).

fof(f1399,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | vd684 != vg(X5,X6,X2)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | X5 = X6
      | ~ ron(X5,X3)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1398]) ).

fof(f1400,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ron(X7,X3)
      | vd684 != vg(X5,X6,X7)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X3 != X4
      | X5 = X6
      | ~ ron(X5,X3)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1399]) ).

fof(f107,axiom,
    ! [X607,X608,X609,X610,X611] :
      ( ( ? [X613] :
            ( rpoint(X613)
            & X607 = X613 )
        & ? [X612] :
            ( rpoint(X612)
            & X608 = X612 )
        & rcenter(X609,X610)
        & rcenter(X609,X611)
        & ron(X607,X610)
        & ron(X608,X611)
        & vf(X609,X607) = vf(X609,X608) )
     => X610 = X611 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).

fof(f1401,plain,
    ! [X6,X7,X4,X5] :
      ( ron(X7,X4)
      | vd684 != vg(X5,X6,X7)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X5 = X6
      | ~ ron(X5,X4)
      | ~ ron(X6,X4) ),
    inference(equality_resolution,[],[f1400]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & rcenter(X2,X3)
        & rcenter(X2,X4)
        & ron(X0,X3)
        & ron(X1,X4)
        & vf(X2,X0) = vf(X2,X1) )
     => X3 = X4 ),
    inference(rectify,[],[f107]) ).

fof(f402,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X3 = X4
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ~ rcenter(X2,X3)
      | ~ rcenter(X2,X4)
      | ~ ron(X0,X3)
      | ~ ron(X1,X4)
      | vf(X2,X0) != vf(X2,X1) ),
    inference(ennf_transformation,[],[f211]) ).

fof(f403,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X3 = X4
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ~ rcenter(X2,X3)
      | ~ rcenter(X2,X4)
      | ~ ron(X0,X3)
      | ~ ron(X1,X4)
      | vf(X2,X0) != vf(X2,X1) ),
    inference(flattening,[],[f402]) ).

fof(f775,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( X3 = X4
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rcenter(X2,X3)
      | ~ rcenter(X2,X4)
      | ~ ron(X0,X3)
      | ~ ron(X1,X4)
      | vf(X2,X0) != vf(X2,X1) ),
    inference(cnf_transformation,[],[f403]) ).

fof(f1402,plain,
    ! [X2,X3,X1,X6,X4,X5] :
      ( X3 = X4
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rcenter(X2,X3)
      | ~ rcenter(X2,X4)
      | ~ ron(X5,X3)
      | ~ ron(X1,X4)
      | vf(X2,X1) != vf(X2,X5) ),
    inference(equality_resolution,[],[f775]) ).

fof(f1403,plain,
    ! [X2,X3,X6,X4,X5] :
      ( X3 = X4
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rcenter(X2,X3)
      | ~ rcenter(X2,X4)
      | ~ ron(X5,X3)
      | ~ ron(X6,X4)
      | vf(X2,X5) != vf(X2,X6) ),
    inference(equality_resolution,[],[f1402]) ).

cnf(c_274,plain,
    ( vf(X0,X1) != vf(X0,X2)
    | ~ rcenter(X0,X3)
    | ~ rcenter(X0,X4)
    | ~ ron(X1,X3)
    | ~ ron(X2,X4)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | X3 = X4 ),
    inference(cnf_transformation,[],[f1403]) ).

cnf(c_21549,plain,
    ( ~ rcenter(X0,X1)
    | ~ rcenter(X0,X2)
    | ~ ron(X3,X1)
    | ~ ron(X3,X2)
    | ~ rpoint(X3)
    | X1 = X2 ),
    inference(equality_resolution,[status(thm)],[c_274]) ).

cnf(c_21965,plain,
    ( ~ rcenter(X0,X1)
    | ~ rcenter(X0,vd1095)
    | ~ ron(sK2,X1)
    | ~ rpoint(sK2)
    | X1 = vd1095 ),
    inference(superposition,[status(thm)],[c_55,c_21549]) ).

cnf(c_22544,plain,
    ( ~ ron(sK2,X1)
    | ~ rcenter(X0,vd1095)
    | ~ rcenter(X0,X1)
    | X1 = vd1095 ),
    inference(global_subsumption_just,[status(thm)],[c_21965,c_61,c_21965]) ).

cnf(c_22545,plain,
    ( ~ rcenter(X0,X1)
    | ~ rcenter(X0,vd1095)
    | ~ ron(sK2,X1)
    | X1 = vd1095 ),
    inference(renaming,[status(thm)],[c_22544]) ).

cnf(c_22555,plain,
    ( ~ rcenter(sK3,vd1095)
    | ~ ron(sK2,sK1)
    | vd1095 = sK1 ),
    inference(superposition,[status(thm)],[c_51,c_22545]) ).

cnf(c_22557,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_22555,c_49,c_54,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 23:03:06 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.44  Running first-order theorem proving
% 0.19/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.65/1.56  % SZS status Started for theBenchmark.p
% 6.65/1.56  % SZS status Theorem for theBenchmark.p
% 6.65/1.56  
% 6.65/1.56  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.65/1.56  
% 6.65/1.56  ------  iProver source info
% 6.65/1.56  
% 6.65/1.56  git: date: 2023-05-31 18:12:56 +0000
% 6.65/1.56  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.65/1.56  git: non_committed_changes: false
% 6.65/1.56  git: last_make_outside_of_git: false
% 6.65/1.56  
% 6.65/1.56  ------ Parsing...
% 6.65/1.56  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 6.65/1.56  
% 6.65/1.56  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 6.65/1.56  
% 6.65/1.56  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.65/1.56  
% 6.65/1.56  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.65/1.56  ------ Proving...
% 6.65/1.56  ------ Problem Properties 
% 6.65/1.56  
% 6.65/1.56  
% 6.65/1.56  clauses                                 253
% 6.65/1.56  conjectures                             4
% 6.65/1.56  EPR                                     71
% 6.65/1.56  Horn                                    177
% 6.65/1.56  unary                                   21
% 6.65/1.56  binary                                  42
% 6.65/1.56  lits                                    1466
% 6.65/1.57  lits eq                                 170
% 6.65/1.57  fd_pure                                 0
% 6.65/1.57  fd_pseudo                               0
% 6.65/1.57  fd_cond                                 1
% 6.65/1.57  fd_pseudo_cond                          45
% 6.65/1.57  AC symbols                              0
% 6.65/1.57  
% 6.65/1.57  ------ Input Options Time Limit: Unbounded
% 6.65/1.57  
% 6.65/1.57  
% 6.65/1.57  ------ 
% 6.65/1.57  Current options:
% 6.65/1.57  ------ 
% 6.65/1.57  
% 6.65/1.57  
% 6.65/1.57  
% 6.65/1.57  
% 6.65/1.57  ------ Proving...
% 6.65/1.57  
% 6.65/1.57  
% 6.65/1.57  ------ Proving...
% 6.65/1.57  
% 6.65/1.57  
% 6.65/1.57  ------ Proving...
% 6.65/1.57  
% 6.65/1.57  
% 6.65/1.57  % SZS status Theorem for theBenchmark.p
% 6.65/1.57  
% 6.65/1.57  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.65/1.57  
% 6.65/1.57  
%------------------------------------------------------------------------------