TSTP Solution File: GEO280+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:34:46 EDT 2023

% Result   : Theorem 0.41s 0.88s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   56 (  27 unt;   0 def)
%            Number of atoms       :  192 (  58 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  238 ( 102   ~;  92   |;  37   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   92 (   0 sgn;  40   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
    ! [X82,X83] :
      ( ( ? [X84] :
            ( X83 = X84
            & rpoint(X84) )
        & ? [X85] :
            ( X82 = X85
            & rpoint(X85) ) )
     => ? [X86] :
          ( vf(X82,X83) = X86
          & rreal(X86) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).

fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
    ! [X651,X652] :
      ( ( ? [X653] :
            ( X652 = X653
            & rpoint(X653) )
        & ? [X654] :
            ( X651 = X654
            & rpoint(X654) ) )
     => vf(X651,X652) = vf(X652,X651) ),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof('and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))',axiom,
    ( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
    & vd1127 != vd1129
    & vd1123 != vd1125
    & vd1129 = vd1130
    & rpoint(vd1130)
    & vd1127 = vd1128
    & rpoint(vd1128)
    & vd1125 = vd1126
    & rpoint(vd1126)
    & vd1123 = vd1124
    & rpoint(vd1124) ),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).

fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
    ! [X157,X158] :
      ( ( X157 = X158
        & rreal(X158) )
     => ~ rless(X157,X157) ),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).

fof('qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))',axiom,
    ! [X151,X152,X153,X154,X155,X156] :
      ( ( rless(X153,X155)
        & rless(X151,X153)
        & X155 = X156
        & rreal(X156)
        & X153 = X154
        & rreal(X154)
        & X151 = X152
        & rreal(X152) )
     => rless(X151,X155) ),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).

fof('holds(245, 1137, 0)',axiom,
    vf(vd1127,vd1129) = vf(vd1123,vd1136),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','holds(245, 1137, 0)') ).

fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
    ! [X139,X140,X141,X142] :
      ( ( ron(X140,X142)
        & rcenter(X141,X142)
        & ? [X143] :
            ( X140 = X143
            & rpoint(X143) )
        & ? [X144] :
            ( X139 = X144
            & rpoint(X144) ) )
     => ( rless(vf(X141,X139),vf(X141,X140))
      <=> rinside(X139,X142) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).

fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))',axiom,
    ( ron(vd1136,vd1139)
    & rcenter(vd1123,vd1139)
    & rcircle(vd1139)
    & ron(vd1125,vd1138)
    & ron(vd1123,vd1138) ),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).

fof('neg(neg(247))',conjecture,
    ~ rinside(vd1125,vd1139),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','neg(neg(247))') ).

fof('pred(245, 0)',axiom,
    rpoint(vd1136),
    file('/export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p','pred(245, 0)') ).

fof(c_0_10,plain,
    ! [X832,X833,X834,X835] :
      ( ( vf(X832,X833) = esk6_2(X832,X833)
        | X833 != X834
        | ~ rpoint(X834)
        | X832 != X835
        | ~ rpoint(X835) )
      & ( rreal(esk6_2(X832,X833))
        | X833 != X834
        | ~ rpoint(X834)
        | X832 != X835
        | ~ rpoint(X835) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).

fof(c_0_11,plain,
    ! [X1401,X1402,X1403,X1404] :
      ( X1402 != X1403
      | ~ rpoint(X1403)
      | X1401 != X1404
      | ~ rpoint(X1404)
      | vf(X1401,X1402) = vf(X1402,X1401) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])]) ).

cnf(c_0_12,plain,
    ( rreal(esk6_2(X1,X2))
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    ( vf(X1,X2) = esk6_2(X1,X2)
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( vf(X3,X1) = vf(X1,X3)
    | X1 != X2
    | ~ rpoint(X2)
    | X3 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    rpoint(vd1128),
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

cnf(c_0_16,plain,
    vd1127 = vd1128,
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

cnf(c_0_17,plain,
    rpoint(vd1130),
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

cnf(c_0_18,plain,
    vd1129 = vd1130,
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

fof(c_0_19,plain,
    ! [X157,X158] :
      ( ( X157 = X158
        & rreal(X158) )
     => ~ rless(X157,X157) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).

fof(c_0_20,plain,
    ! [X901,X902,X903,X904,X905,X906] :
      ( ~ rless(X903,X905)
      | ~ rless(X901,X903)
      | X905 != X906
      | ~ rreal(X906)
      | X903 != X904
      | ~ rreal(X904)
      | X901 != X902
      | ~ rreal(X902)
      | rless(X901,X905) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))'])]) ).

cnf(c_0_21,plain,
    ( rreal(esk6_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])]) ).

cnf(c_0_22,plain,
    ( esk6_2(X1,X2) = vf(X1,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])]) ).

cnf(c_0_23,plain,
    vf(vd1127,vd1129) = vf(vd1123,vd1136),
    inference(split_conjunct,[status(thm)],['holds(245, 1137, 0)']) ).

cnf(c_0_24,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])]) ).

cnf(c_0_25,plain,
    rpoint(vd1127),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_26,plain,
    rpoint(vd1129),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_27,plain,
    ! [X907,X908] :
      ( X907 != X908
      | ~ rreal(X908)
      | ~ rless(X907,X907) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).

cnf(c_0_28,plain,
    ( rless(X3,X2)
    | ~ rless(X1,X2)
    | ~ rless(X3,X1)
    | X2 != X4
    | ~ rreal(X4)
    | X1 != X5
    | ~ rreal(X5)
    | X3 != X6
    | ~ rreal(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

cnf(c_0_30,plain,
    ( rreal(vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_31,plain,
    vf(vd1129,vd1127) = vf(vd1123,vd1136),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

fof(c_0_32,plain,
    ! [X889,X890,X891,X892,X893,X894] :
      ( ( ~ rless(vf(X891,X889),vf(X891,X890))
        | rinside(X889,X892)
        | ~ ron(X890,X892)
        | ~ rcenter(X891,X892)
        | X890 != X893
        | ~ rpoint(X893)
        | X889 != X894
        | ~ rpoint(X894) )
      & ( ~ rinside(X889,X892)
        | rless(vf(X891,X889),vf(X891,X890))
        | ~ ron(X890,X892)
        | ~ rcenter(X891,X892)
        | X890 != X893
        | ~ rpoint(X893)
        | X889 != X894
        | ~ rpoint(X894) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).

cnf(c_0_33,plain,
    ( X1 != X2
    | ~ rreal(X2)
    | ~ rless(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( rless(X1,X2)
    | ~ rreal(X1)
    | ~ rreal(X3)
    | ~ rreal(X2)
    | ~ rless(X1,X3)
    | ~ rless(X3,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])])]) ).

cnf(c_0_35,plain,
    rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
    inference(rw,[status(thm)],[c_0_29,c_0_23]) ).

cnf(c_0_36,plain,
    rreal(vf(vd1123,vd1136)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26]),c_0_25])]) ).

cnf(c_0_37,plain,
    ( rless(vf(X3,X1),vf(X3,X4))
    | ~ rinside(X1,X2)
    | ~ ron(X4,X2)
    | ~ rcenter(X3,X2)
    | X4 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,plain,
    ( ~ rreal(X1)
    | ~ rless(X1,X1) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_39,plain,
    ( rless(vf(vd1123,vd1136),X1)
    | ~ rreal(vf(vd1123,vd1125))
    | ~ rreal(X1)
    | ~ rless(vf(vd1123,vd1125),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_40,plain,
    ( rless(vf(X1,X2),vf(X1,X3))
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rcenter(X1,X4)
    | ~ ron(X3,X4)
    | ~ rinside(X2,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).

cnf(c_0_41,plain,
    rcenter(vd1123,vd1139),
    inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).

cnf(c_0_42,plain,
    rpoint(vd1126),
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

cnf(c_0_43,plain,
    vd1125 = vd1126,
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

fof(c_0_44,negated_conjecture,
    rinside(vd1125,vd1139),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['neg(neg(247))'])]) ).

cnf(c_0_45,plain,
    ( ~ rreal(vf(vd1123,vd1125))
    | ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36])]) ).

cnf(c_0_46,plain,
    ( rless(vf(vd1123,X1),vf(vd1123,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ ron(X2,vd1139)
    | ~ rinside(X1,vd1139) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_47,plain,
    rpoint(vd1125),
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    rpoint(vd1136),
    inference(split_conjunct,[status(thm)],['pred(245, 0)']) ).

cnf(c_0_49,plain,
    ron(vd1136,vd1139),
    inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).

cnf(c_0_50,negated_conjecture,
    rinside(vd1125,vd1139),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,plain,
    rpoint(vd1124),
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

cnf(c_0_52,plain,
    vd1123 = vd1124,
    inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).

cnf(c_0_53,plain,
    ~ rreal(vf(vd1123,vd1125)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).

cnf(c_0_54,plain,
    rpoint(vd1123),
    inference(rw,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_30]),c_0_54]),c_0_47])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n012.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   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 06:05:35 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  Running first-order model finding
% 0.20/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Hy3O3rJLx2/E---3.1_10236.p
% 0.41/0.88  # Version: 3.1pre001
% 0.41/0.88  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.41/0.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.88  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.41/0.88  # Starting new_bool_3 with 300s (1) cores
% 0.41/0.88  # Starting new_bool_1 with 300s (1) cores
% 0.41/0.88  # Starting sh5l with 300s (1) cores
% 0.41/0.88  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10339 completed with status 0
% 0.41/0.88  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.41/0.88  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.41/0.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.88  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.41/0.88  # No SInE strategy applied
% 0.41/0.88  # Search class: FGHSF-FSLM33-SFFFFFNN
% 0.41/0.88  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.88  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 0.41/0.88  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.41/0.88  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.41/0.88  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.41/0.88  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.41/0.88  # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 10371 completed with status 0
% 0.41/0.88  # Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 0.41/0.88  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.41/0.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.88  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.41/0.88  # No SInE strategy applied
% 0.41/0.88  # Search class: FGHSF-FSLM33-SFFFFFNN
% 0.41/0.88  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.88  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 0.41/0.88  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.41/0.88  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.41/0.88  # Preprocessing time       : 0.019 s
% 0.41/0.88  # Presaturation interreduction done
% 0.41/0.88  
% 0.41/0.88  # Proof found!
% 0.41/0.88  # SZS status Theorem
% 0.41/0.88  # SZS output start CNFRefutation
% See solution above
% 0.41/0.88  # Parsed axioms                        : 115
% 0.41/0.88  # Removed by relevancy pruning/SinE    : 0
% 0.41/0.88  # Initial clauses                      : 275
% 0.41/0.88  # Removed in clause preprocessing      : 2
% 0.41/0.88  # Initial clauses in saturation        : 273
% 0.41/0.88  # Processed clauses                    : 1626
% 0.41/0.88  # ...of these trivial                  : 3
% 0.41/0.88  # ...subsumed                          : 573
% 0.41/0.88  # ...remaining for further processing  : 1050
% 0.41/0.88  # Other redundant clauses eliminated   : 1100
% 0.41/0.88  # Clauses deleted for lack of memory   : 0
% 0.41/0.88  # Backward-subsumed                    : 21
% 0.41/0.88  # Backward-rewritten                   : 8
% 0.41/0.88  # Generated clauses                    : 3607
% 0.41/0.88  # ...of the previous two non-redundant : 3452
% 0.41/0.88  # ...aggressively subsumed             : 0
% 0.41/0.88  # Contextual simplify-reflections      : 53
% 0.41/0.88  # Paramodulations                      : 3351
% 0.41/0.88  # Factorizations                       : 0
% 0.41/0.88  # NegExts                              : 0
% 0.41/0.88  # Equation resolutions                 : 1119
% 0.41/0.88  # Total rewrite steps                  : 1716
% 0.41/0.88  # Propositional unsat checks           : 0
% 0.41/0.88  #    Propositional check models        : 0
% 0.41/0.88  #    Propositional check unsatisfiable : 0
% 0.41/0.88  #    Propositional clauses             : 0
% 0.41/0.88  #    Propositional clauses after purity: 0
% 0.41/0.88  #    Propositional unsat core size     : 0
% 0.41/0.88  #    Propositional preprocessing time  : 0.000
% 0.41/0.88  #    Propositional encoding time       : 0.000
% 0.41/0.88  #    Propositional solver time         : 0.000
% 0.41/0.88  #    Success case prop preproc time    : 0.000
% 0.41/0.88  #    Success case prop encoding time   : 0.000
% 0.41/0.88  #    Success case prop solver time     : 0.000
% 0.41/0.88  # Current number of processed clauses  : 513
% 0.41/0.88  #    Positive orientable unit clauses  : 27
% 0.41/0.88  #    Positive unorientable unit clauses: 0
% 0.41/0.88  #    Negative unit clauses             : 12
% 0.41/0.88  #    Non-unit-clauses                  : 474
% 0.41/0.88  # Current number of unprocessed clauses: 2251
% 0.41/0.88  # ...number of literals in the above   : 27224
% 0.41/0.88  # Current number of archived formulas  : 0
% 0.41/0.88  # Current number of archived clauses   : 300
% 0.41/0.88  # Clause-clause subsumption calls (NU) : 211755
% 0.41/0.88  # Rec. Clause-clause subsumption calls : 11555
% 0.41/0.88  # Non-unit clause-clause subsumptions  : 576
% 0.41/0.88  # Unit Clause-clause subsumption calls : 1584
% 0.41/0.88  # Rewrite failures with RHS unbound    : 0
% 0.41/0.88  # BW rewrite match attempts            : 2
% 0.41/0.88  # BW rewrite match successes           : 2
% 0.41/0.88  # Condensation attempts                : 0
% 0.41/0.88  # Condensation successes               : 0
% 0.41/0.88  # Termbank termtop insertions          : 143048
% 0.41/0.88  
% 0.41/0.88  # -------------------------------------------------
% 0.41/0.88  # User time                : 0.341 s
% 0.41/0.88  # System time              : 0.015 s
% 0.41/0.88  # Total time               : 0.356 s
% 0.41/0.88  # Maximum resident set size: 4316 pages
% 0.41/0.88  
% 0.41/0.88  # -------------------------------------------------
% 0.41/0.88  # User time                : 1.617 s
% 0.41/0.88  # System time              : 0.048 s
% 0.41/0.88  # Total time               : 1.665 s
% 0.41/0.88  # Maximum resident set size: 2548 pages
% 0.41/0.88  % E---3.1 exiting
%------------------------------------------------------------------------------