TSTP Solution File: GEO286+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO286+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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  : 600s
% DateTime : Sat Jul 16 04:05:18 EDT 2022

% Result   : Theorem 0.74s 70.91s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   48 (  25 unt;   0 def)
%            Number of atoms       :  254 (  47 equ)
%            Maximal formula atoms :   56 (   5 avg)
%            Number of connectives :  364 ( 158   ~; 166   |;  38   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-7 aty)
%            Number of variables   :   79 (   0 sgn  21   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qe(261)',conjecture,
    ? [X1] :
      ( rR(X1,vd1123,vd1125)
      & ron(X1,vd1152)
      & ron(X1,vd1151)
      & rpoint(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qe(261)') ).

fof('qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))',axiom,
    ! [X49,X50,X51,X52,X53,X54,X55,X56] :
      ( ( ron(X55,X51)
        & ~ ron(X55,X49)
        & ~ rinside(X55,X49)
        & X55 = X56
        & rpoint(X56)
        & ron(X53,X51)
        & rinside(X53,X49)
        & X53 = X54
        & rpoint(X54)
        & X51 = X52
        & rline(X52)
        & X49 = X50
        & rcircle(X50) )
     => ? [X57] :
          ( rR(X57,X53,X55)
          & ron(X57,X49)
          & ron(X57,X51)
          & rpoint(X57) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(61), 0), imp(cond(axiom(61), 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in','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('holds(258, 1150, 0)',axiom,
    vd1123 = vd1129,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(258, 1150, 0)') ).

fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))',axiom,
    ( ron(vd1127,vd1152)
    & rcenter(vd1123,vd1152)
    & rcircle(vd1152)
    & ron(vd1125,vd1151)
    & ron(vd1123,vd1151) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))') ).

fof('neg(neg(260))',axiom,
    ~ rinside(vd1125,vd1152),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','neg(neg(260))') ).

fof('neg(neg(comma_conjunct2(260)))',axiom,
    ~ ron(vd1125,vd1152),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','neg(neg(comma_conjunct2(260)))') ).

fof('pred(259, 0)',axiom,
    rline(vd1151),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(259, 0)') ).

fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
    ! [X359,X360] :
      ( rcenter(X359,X360)
     => rinside(X359,X360) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).

fof(c_0_9,negated_conjecture,
    ~ ? [X1] :
        ( rR(X1,vd1123,vd1125)
        & ron(X1,vd1152)
        & ron(X1,vd1151)
        & rpoint(X1) ),
    inference(assume_negation,[status(cth)],['qe(261)']) ).

fof(c_0_10,negated_conjecture,
    ! [X2] :
      ( ~ rR(X2,vd1123,vd1125)
      | ~ ron(X2,vd1152)
      | ~ ron(X2,vd1151)
      | ~ rpoint(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).

fof(c_0_11,plain,
    ! [X58,X59,X60,X61,X62,X63,X64,X65] :
      ( ( rR(esk4_7(X58,X59,X60,X61,X62,X63,X64),X62,X64)
        | ~ ron(X64,X60)
        | ron(X64,X58)
        | rinside(X64,X58)
        | X64 != X65
        | ~ rpoint(X65)
        | ~ ron(X62,X60)
        | ~ rinside(X62,X58)
        | X62 != X63
        | ~ rpoint(X63)
        | X60 != X61
        | ~ rline(X61)
        | X58 != X59
        | ~ rcircle(X59) )
      & ( ron(esk4_7(X58,X59,X60,X61,X62,X63,X64),X58)
        | ~ ron(X64,X60)
        | ron(X64,X58)
        | rinside(X64,X58)
        | X64 != X65
        | ~ rpoint(X65)
        | ~ ron(X62,X60)
        | ~ rinside(X62,X58)
        | X62 != X63
        | ~ rpoint(X63)
        | X60 != X61
        | ~ rline(X61)
        | X58 != X59
        | ~ rcircle(X59) )
      & ( ron(esk4_7(X58,X59,X60,X61,X62,X63,X64),X60)
        | ~ ron(X64,X60)
        | ron(X64,X58)
        | rinside(X64,X58)
        | X64 != X65
        | ~ rpoint(X65)
        | ~ ron(X62,X60)
        | ~ rinside(X62,X58)
        | X62 != X63
        | ~ rpoint(X63)
        | X60 != X61
        | ~ rline(X61)
        | X58 != X59
        | ~ rcircle(X59) )
      & ( rpoint(esk4_7(X58,X59,X60,X61,X62,X63,X64))
        | ~ ron(X64,X60)
        | ron(X64,X58)
        | rinside(X64,X58)
        | X64 != X65
        | ~ rpoint(X65)
        | ~ ron(X62,X60)
        | ~ rinside(X62,X58)
        | X62 != X63
        | ~ rpoint(X63)
        | X60 != X61
        | ~ rline(X61)
        | X58 != X59
        | ~ rcircle(X59) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))'])])])])])])])]) ).

cnf(c_0_12,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)))']) ).

cnf(c_0_13,plain,
    vd1123 = vd1129,
    inference(split_conjunct,[status(thm)],['holds(258, 1150, 0)']) ).

cnf(c_0_14,negated_conjecture,
    ( ~ rpoint(X1)
    | ~ ron(X1,vd1151)
    | ~ ron(X1,vd1152)
    | ~ rR(X1,vd1123,vd1125) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,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)))']) ).

cnf(c_0_16,plain,
    ( rinside(X8,X2)
    | ron(X8,X2)
    | rR(esk4_7(X2,X1,X4,X3,X6,X5,X8),X6,X8)
    | ~ rcircle(X1)
    | X2 != X1
    | ~ rline(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rinside(X6,X2)
    | ~ ron(X6,X4)
    | ~ rpoint(X7)
    | X8 != X7
    | ~ ron(X8,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

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,
    vd1130 = vd1123,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ rpoint(X1)
    | ~ ron(X1,vd1152)
    | ~ ron(X1,vd1151)
    | ~ rR(X1,vd1123,vd1126) ),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( rinside(X1,X2)
    | ron(X1,X2)
    | rR(esk4_7(X2,X2,X3,X3,X4,X4,X1),X4,X1)
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ ron(X1,X3)
    | ~ ron(X4,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])])])]) ).

cnf(c_0_21,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_22,plain,
    rpoint(vd1123),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    ( rinside(X8,X2)
    | ron(X8,X2)
    | ron(esk4_7(X2,X1,X4,X3,X6,X5,X8),X4)
    | ~ rcircle(X1)
    | X2 != X1
    | ~ rline(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rinside(X6,X2)
    | ~ ron(X6,X4)
    | ~ rpoint(X7)
    | X8 != X7
    | ~ ron(X8,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_24,plain,
    ron(vd1125,vd1151),
    inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).

fof(c_0_25,plain,
    ~ rinside(vd1125,vd1152),
    inference(fof_simplification,[status(thm)],['neg(neg(260))']) ).

fof(c_0_26,plain,
    ~ ron(vd1125,vd1152),
    inference(fof_simplification,[status(thm)],['neg(neg(comma_conjunct2(260)))']) ).

cnf(c_0_27,negated_conjecture,
    ( rinside(vd1126,X1)
    | ron(vd1126,X1)
    | ~ rline(X2)
    | ~ rcircle(X1)
    | ~ rinside(vd1123,X1)
    | ~ rpoint(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1126))
    | ~ ron(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1126),vd1152)
    | ~ ron(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1126),vd1151)
    | ~ ron(vd1126,X2)
    | ~ ron(vd1123,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).

cnf(c_0_28,plain,
    ( rinside(X1,X2)
    | ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X3)
    | ron(X1,X2)
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ ron(X1,X3)
    | ~ ron(X4,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])])])]) ).

cnf(c_0_29,plain,
    rline(vd1151),
    inference(split_conjunct,[status(thm)],['pred(259, 0)']) ).

cnf(c_0_30,plain,
    ron(vd1126,vd1151),
    inference(rw,[status(thm)],[c_0_24,c_0_15]) ).

cnf(c_0_31,plain,
    ron(vd1123,vd1151),
    inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).

cnf(c_0_32,plain,
    ( rinside(X8,X2)
    | ron(X8,X2)
    | ron(esk4_7(X2,X1,X4,X3,X6,X5,X8),X2)
    | ~ rcircle(X1)
    | X2 != X1
    | ~ rline(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rinside(X6,X2)
    | ~ ron(X6,X4)
    | ~ rpoint(X7)
    | X8 != X7
    | ~ ron(X8,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_33,plain,
    ~ rinside(vd1125,vd1152),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    ~ ron(vd1125,vd1152),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    ( rinside(vd1126,X1)
    | ron(vd1126,X1)
    | ~ rcircle(X1)
    | ~ rinside(vd1123,X1)
    | ~ rpoint(esk4_7(X1,X1,vd1151,vd1151,vd1123,vd1123,vd1126))
    | ~ ron(esk4_7(X1,X1,vd1151,vd1151,vd1123,vd1123,vd1126),vd1152) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_21]),c_0_22])]) ).

cnf(c_0_36,plain,
    ( rinside(X1,X2)
    | ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X2)
    | ron(X1,X2)
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ ron(X1,X3)
    | ~ ron(X4,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])])])]) ).

cnf(c_0_37,plain,
    rcircle(vd1152),
    inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).

cnf(c_0_38,plain,
    ~ rinside(vd1126,vd1152),
    inference(rw,[status(thm)],[c_0_33,c_0_15]) ).

cnf(c_0_39,plain,
    ~ ron(vd1126,vd1152),
    inference(rw,[status(thm)],[c_0_34,c_0_15]) ).

cnf(c_0_40,plain,
    ( rinside(X8,X2)
    | ron(X8,X2)
    | rpoint(esk4_7(X2,X1,X4,X3,X6,X5,X8))
    | ~ rcircle(X1)
    | X2 != X1
    | ~ rline(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rinside(X6,X2)
    | ~ ron(X6,X4)
    | ~ rpoint(X7)
    | X8 != X7
    | ~ ron(X8,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ rinside(vd1123,vd1152)
    | ~ rpoint(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1126)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_29]),c_0_21]),c_0_22]),c_0_30]),c_0_31])]),c_0_38]),c_0_39]) ).

cnf(c_0_42,plain,
    ( rinside(X1,X2)
    | rpoint(esk4_7(X2,X2,X3,X3,X4,X4,X1))
    | ron(X1,X2)
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ ron(X1,X3)
    | ~ ron(X4,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])])])]) ).

fof(c_0_43,plain,
    ! [X361,X362] :
      ( ~ rcenter(X361,X362)
      | rinside(X361,X362) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).

cnf(c_0_44,negated_conjecture,
    ~ rinside(vd1123,vd1152),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_42]),c_0_29]),c_0_37]),c_0_21]),c_0_22]),c_0_30]),c_0_31])]),c_0_38]),c_0_39]) ).

cnf(c_0_45,plain,
    ( rinside(X1,X2)
    | ~ rcenter(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_46,plain,
    rcenter(vd1123,vd1152),
    inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO286+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n010.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  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 02:26:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.41/23.45  eprover: CPU time limit exceeded, terminating
% 0.41/23.45  eprover: CPU time limit exceeded, terminating
% 0.41/23.46  eprover: CPU time limit exceeded, terminating
% 0.41/23.46  eprover: CPU time limit exceeded, terminating
% 0.56/46.46  eprover: CPU time limit exceeded, terminating
% 0.56/46.47  eprover: CPU time limit exceeded, terminating
% 0.56/46.47  eprover: CPU time limit exceeded, terminating
% 0.56/46.48  eprover: CPU time limit exceeded, terminating
% 0.73/69.47  eprover: CPU time limit exceeded, terminating
% 0.73/69.48  eprover: CPU time limit exceeded, terminating
% 0.73/69.48  eprover: CPU time limit exceeded, terminating
% 0.73/69.50  eprover: CPU time limit exceeded, terminating
% 0.74/70.91  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.74/70.91  
% 0.74/70.91  # Failure: Resource limit exceeded (time)
% 0.74/70.91  # OLD status Res
% 0.74/70.91  # Preprocessing time       : 0.064 s
% 0.74/70.91  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.74/70.91  
% 0.74/70.91  # Failure: Resource limit exceeded (time)
% 0.74/70.91  # OLD status Res
% 0.74/70.91  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.74/70.91  # Preprocessing time       : 0.043 s
% 0.74/70.91  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.74/70.91  
% 0.74/70.91  # Failure: Resource limit exceeded (time)
% 0.74/70.91  # OLD status Res
% 0.74/70.91  # Preprocessing time       : 0.033 s
% 0.74/70.91  # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.74/70.91  # Preprocessing time       : 0.029 s
% 0.74/70.91  
% 0.74/70.91  # Proof found!
% 0.74/70.91  # SZS status Theorem
% 0.74/70.91  # SZS output start CNFRefutation
% See solution above
% 0.74/70.92  # Proof object total steps             : 48
% 0.74/70.92  # Proof object clause steps            : 33
% 0.74/70.92  # Proof object formula steps           : 15
% 0.74/70.92  # Proof object conjectures             : 10
% 0.74/70.92  # Proof object clause conjectures      : 7
% 0.74/70.92  # Proof object formula conjectures     : 3
% 0.74/70.92  # Proof object initial clauses used    : 18
% 0.74/70.92  # Proof object initial formulas used   : 9
% 0.74/70.92  # Proof object generating inferences   : 5
% 0.74/70.92  # Proof object simplifying inferences  : 51
% 0.74/70.92  # Training examples: 0 positive, 0 negative
% 0.74/70.92  # Parsed axioms                        : 135
% 0.74/70.92  # Removed by relevancy pruning/SinE    : 0
% 0.74/70.92  # Initial clauses                      : 303
% 0.74/70.92  # Removed in clause preprocessing      : 2
% 0.74/70.92  # Initial clauses in saturation        : 301
% 0.74/70.92  # Processed clauses                    : 596
% 0.74/70.92  # ...of these trivial                  : 17
% 0.74/70.92  # ...subsumed                          : 19
% 0.74/70.92  # ...remaining for further processing  : 560
% 0.74/70.92  # Other redundant clauses eliminated   : 1100
% 0.74/70.92  # Clauses deleted for lack of memory   : 0
% 0.74/70.92  # Backward-subsumed                    : 0
% 0.74/70.92  # Backward-rewritten                   : 5
% 0.74/70.92  # Generated clauses                    : 1075
% 0.74/70.92  # ...of the previous two non-trivial   : 1054
% 0.74/70.92  # Contextual simplify-reflections      : 67
% 0.74/70.92  # Paramodulations                      : 806
% 0.74/70.92  # Factorizations                       : 0
% 0.74/70.92  # Equation resolutions                 : 1111
% 0.74/70.92  # Current number of processed clauses  : 311
% 0.74/70.92  #    Positive orientable unit clauses  : 19
% 0.74/70.92  #    Positive unorientable unit clauses: 0
% 0.74/70.92  #    Negative unit clauses             : 11
% 0.74/70.92  #    Non-unit-clauses                  : 281
% 0.74/70.92  # Current number of unprocessed clauses: 757
% 0.74/70.92  # ...number of literals in the above   : 9971
% 0.74/70.92  # Current number of archived formulas  : 0
% 0.74/70.92  # Current number of archived clauses   : 5
% 0.74/70.92  # Clause-clause subsumption calls (NU) : 126127
% 0.74/70.92  # Rec. Clause-clause subsumption calls : 4645
% 0.74/70.92  # Non-unit clause-clause subsumptions  : 79
% 0.74/70.92  # Unit Clause-clause subsumption calls : 712
% 0.74/70.92  # Rewrite failures with RHS unbound    : 0
% 0.74/70.92  # BW rewrite match attempts            : 3
% 0.74/70.92  # BW rewrite match successes           : 3
% 0.74/70.92  # Condensation attempts                : 0
% 0.74/70.92  # Condensation successes               : 0
% 0.74/70.92  # Termbank termtop insertions          : 72841
% 0.74/70.92  
% 0.74/70.92  # -------------------------------------------------
% 0.74/70.92  # User time                : 0.429 s
% 0.74/70.92  # System time              : 0.005 s
% 0.74/70.92  # Total time               : 0.434 s
% 0.74/70.92  # Maximum resident set size: 7596 pages
% 0.74/92.49  eprover: CPU time limit exceeded, terminating
% 0.74/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.51  eprover: No such file or directory
% 0.74/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.51  eprover: No such file or directory
% 0.74/92.51  eprover: CPU time limit exceeded, terminating
% 0.74/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.52  eprover: No such file or directory
% 0.74/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.52  eprover: No such file or directory
% 0.74/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.53  eprover: No such file or directory
% 0.74/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.53  eprover: No such file or directory
% 0.74/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.53  eprover: No such file or directory
% 0.74/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.53  eprover: No such file or directory
% 0.74/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.54  eprover: No such file or directory
% 0.74/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.54  eprover: No such file or directory
% 0.74/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/92.54  eprover: No such file or directory
% 0.74/92.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.55  eprover: No such file or directory
% 0.74/92.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.55  eprover: No such file or directory
% 0.74/92.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.56  eprover: No such file or directory
% 0.74/92.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.56  eprover: No such file or directory
% 0.74/92.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/92.57  eprover: No such file or directory
%------------------------------------------------------------------------------