TSTP Solution File: GEO287+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO287+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 17:32:31 EDT 2023

% Result   : Theorem 33.86s 4.99s
% Output   : CNFRefutation 33.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   49 (  32 unt;   0 def)
%            Number of atoms       :  363 ( 212 equ)
%            Maximal formula atoms :   80 (   7 avg)
%            Number of connectives :  518 ( 204   ~; 250   |;  63   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-6 aty)
%            Number of variables   :  118 (   0 sgn;  19   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('ass(cond(proof(267), 0), 2)',axiom,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( ~ ? [X14] :
              ( ron(X13,X14)
              & ron(X12,X14)
              & ron(X11,X14)
              & rline(X14) )
        & vangle(X9,X8,X10) = vangle(X12,X11,X13)
        & vf(X8,X10) = vf(X11,X13)
        & vf(X8,X9) = vf(X11,X12)
        & ? [X15] :
            ( X13 = X15
            & rpoint(X15) )
        & ? [X16] :
            ( X12 = X16
            & rpoint(X16) )
        & ? [X17] :
            ( X11 = X17
            & rpoint(X17) )
        & X9 != X10
        & X8 != X10
        & X8 != X9
        & ? [X18] :
            ( X10 = X18
            & rpoint(X18) )
        & ? [X19] :
            ( X9 = X19
            & rpoint(X19) )
        & ? [X20] :
            ( X8 = X20
            & rpoint(X20) ) )
     => vf(X12,X13) = vf(X9,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.LE5rQbx4xp/E---3.1_3435.p','ass(cond(proof(267), 0), 2)') ).

fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))',axiom,
    ( ~ ? [X1] :
          ( ron(vd1165,X1)
          & ron(vd1164,X1)
          & ron(vd1163,X1)
          & rline(X1) )
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & ? [X2] :
        ( vd1165 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1164 = X3
        & rpoint(X3) )
    & ? [X4] :
        ( vd1163 = X4
        & rpoint(X4) )
    & vd1157 != vd1158
    & vd1156 != vd1158
    & vd1156 != vd1157
    & ? [X5] :
        ( vd1158 = X5
        & rpoint(X5) )
    & ? [X6] :
        ( vd1157 = X6
        & rpoint(X6) )
    & ? [X7] :
        ( vd1156 = X7
        & rpoint(X7) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LE5rQbx4xp/E---3.1_3435.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).

fof('holds(conjunct1(266), 1175, 0)',conjecture,
    vf(vd1157,vd1158) = vf(vd1164,vd1165),
    file('/export/starexec/sandbox/tmp/tmp.LE5rQbx4xp/E---3.1_3435.p','holds(conjunct1(266), 1175, 0)') ).

fof(c_0_3,plain,
    ! [X804,X805,X806,X807,X808,X809,X811,X812,X813,X814,X815,X816] :
      ( ( ron(X809,esk9_6(X804,X805,X806,X807,X808,X809))
        | vangle(X805,X804,X806) != vangle(X808,X807,X809)
        | vf(X804,X806) != vf(X807,X809)
        | vf(X804,X805) != vf(X807,X808)
        | X809 != X811
        | ~ rpoint(X811)
        | X808 != X812
        | ~ rpoint(X812)
        | X807 != X813
        | ~ rpoint(X813)
        | X805 = X806
        | X804 = X806
        | X804 = X805
        | X806 != X814
        | ~ rpoint(X814)
        | X805 != X815
        | ~ rpoint(X815)
        | X804 != X816
        | ~ rpoint(X816)
        | vf(X808,X809) = vf(X805,X806) )
      & ( ron(X808,esk9_6(X804,X805,X806,X807,X808,X809))
        | vangle(X805,X804,X806) != vangle(X808,X807,X809)
        | vf(X804,X806) != vf(X807,X809)
        | vf(X804,X805) != vf(X807,X808)
        | X809 != X811
        | ~ rpoint(X811)
        | X808 != X812
        | ~ rpoint(X812)
        | X807 != X813
        | ~ rpoint(X813)
        | X805 = X806
        | X804 = X806
        | X804 = X805
        | X806 != X814
        | ~ rpoint(X814)
        | X805 != X815
        | ~ rpoint(X815)
        | X804 != X816
        | ~ rpoint(X816)
        | vf(X808,X809) = vf(X805,X806) )
      & ( ron(X807,esk9_6(X804,X805,X806,X807,X808,X809))
        | vangle(X805,X804,X806) != vangle(X808,X807,X809)
        | vf(X804,X806) != vf(X807,X809)
        | vf(X804,X805) != vf(X807,X808)
        | X809 != X811
        | ~ rpoint(X811)
        | X808 != X812
        | ~ rpoint(X812)
        | X807 != X813
        | ~ rpoint(X813)
        | X805 = X806
        | X804 = X806
        | X804 = X805
        | X806 != X814
        | ~ rpoint(X814)
        | X805 != X815
        | ~ rpoint(X815)
        | X804 != X816
        | ~ rpoint(X816)
        | vf(X808,X809) = vf(X805,X806) )
      & ( rline(esk9_6(X804,X805,X806,X807,X808,X809))
        | vangle(X805,X804,X806) != vangle(X808,X807,X809)
        | vf(X804,X806) != vf(X807,X809)
        | vf(X804,X805) != vf(X807,X808)
        | X809 != X811
        | ~ rpoint(X811)
        | X808 != X812
        | ~ rpoint(X812)
        | X807 != X813
        | ~ rpoint(X813)
        | X805 = X806
        | X804 = X806
        | X804 = X805
        | X806 != X814
        | ~ rpoint(X814)
        | X805 != X815
        | ~ rpoint(X815)
        | X804 != X816
        | ~ rpoint(X816)
        | vf(X808,X809) = vf(X805,X806) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(267), 0), 2)'])])])])]) ).

fof(c_0_4,plain,
    ! [X771] :
      ( ( ~ ron(vd1165,X771)
        | ~ ron(vd1164,X771)
        | ~ ron(vd1163,X771)
        | ~ rline(X771) )
      & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
      & vf(vd1156,vd1158) = vf(vd1163,vd1165)
      & vf(vd1156,vd1157) = vf(vd1163,vd1164)
      & vd1165 = esk1_0
      & rpoint(esk1_0)
      & vd1164 = esk2_0
      & rpoint(esk2_0)
      & vd1163 = esk3_0
      & rpoint(esk3_0)
      & vd1157 != vd1158
      & vd1156 != vd1158
      & vd1156 != vd1157
      & vd1158 = esk4_0
      & rpoint(esk4_0)
      & vd1157 = esk5_0
      & rpoint(esk5_0)
      & vd1156 = esk6_0
      & rpoint(esk6_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))'])])])]) ).

cnf(c_0_5,plain,
    ( ron(X1,esk9_6(X2,X3,X4,X5,X1,X6))
    | X3 = X4
    | X2 = X4
    | X2 = X3
    | vf(X1,X6) = vf(X3,X4)
    | vangle(X3,X2,X4) != vangle(X1,X5,X6)
    | vf(X2,X4) != vf(X5,X6)
    | vf(X2,X3) != vf(X5,X1)
    | X6 != X7
    | ~ rpoint(X7)
    | X1 != X8
    | ~ rpoint(X8)
    | X5 != X9
    | ~ rpoint(X9)
    | X4 != X10
    | ~ rpoint(X10)
    | X3 != X11
    | ~ rpoint(X11)
    | X2 != X12
    | ~ rpoint(X12) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    vd1163 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    vd1164 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,plain,
    vd1165 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,plain,
    ( rline(esk9_6(X1,X2,X3,X4,X5,X6))
    | X2 = X3
    | X1 = X3
    | X1 = X2
    | vf(X5,X6) = vf(X2,X3)
    | vangle(X2,X1,X3) != vangle(X5,X4,X6)
    | vf(X1,X3) != vf(X4,X6)
    | vf(X1,X2) != vf(X4,X5)
    | X6 != X7
    | ~ rpoint(X7)
    | X5 != X8
    | ~ rpoint(X8)
    | X4 != X9
    | ~ rpoint(X9)
    | X3 != X10
    | ~ rpoint(X10)
    | X2 != X11
    | ~ rpoint(X11)
    | X1 != X12
    | ~ rpoint(X12) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,plain,
    ( ron(X1,esk9_6(X2,X3,X4,X5,X6,X1))
    | X3 = X4
    | X2 = X4
    | X2 = X3
    | vf(X6,X1) = vf(X3,X4)
    | vangle(X3,X2,X4) != vangle(X6,X5,X1)
    | vf(X2,X4) != vf(X5,X1)
    | vf(X2,X3) != vf(X5,X6)
    | X1 != X7
    | ~ rpoint(X7)
    | X6 != X8
    | ~ rpoint(X8)
    | X5 != X9
    | ~ rpoint(X9)
    | X4 != X10
    | ~ rpoint(X10)
    | X3 != X11
    | ~ rpoint(X11)
    | X2 != X12
    | ~ rpoint(X12) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,plain,
    ( ron(X1,esk9_6(X2,X3,X4,X1,X5,X6))
    | X3 = X4
    | X2 = X4
    | X2 = X3
    | vf(X5,X6) = vf(X3,X4)
    | vangle(X3,X2,X4) != vangle(X5,X1,X6)
    | vf(X2,X4) != vf(X1,X6)
    | vf(X2,X3) != vf(X1,X5)
    | X6 != X7
    | ~ rpoint(X7)
    | X5 != X8
    | ~ rpoint(X8)
    | X1 != X9
    | ~ rpoint(X9)
    | X4 != X10
    | ~ rpoint(X10)
    | X3 != X11
    | ~ rpoint(X11)
    | X2 != X12
    | ~ rpoint(X12) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_15,plain,
    ( vf(X1,X2) = vf(X3,X4)
    | X3 = X4
    | X5 = X4
    | X5 = X3
    | ron(X1,esk9_6(X5,X3,X4,X6,X1,X2))
    | vangle(X1,X6,X2) != vangle(X3,X5,X4)
    | vf(X5,X4) != vf(X6,X2)
    | vf(X5,X3) != vf(X6,X1)
    | ~ rpoint(X5)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X6)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])])])])])]) ).

cnf(c_0_16,plain,
    vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,plain,
    vf(vd1156,vd1158) = vf(vd1163,vd1165),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,plain,
    vf(vd1156,vd1157) = vf(vd1163,vd1164),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19,plain,
    rpoint(vd1163),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_20,plain,
    rpoint(vd1164),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_21,plain,
    rpoint(vd1165),
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_22,plain,
    rpoint(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_23,plain,
    vd1156 = esk6_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24,plain,
    rpoint(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_25,plain,
    vd1157 = esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,plain,
    rpoint(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27,plain,
    vd1158 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_28,negated_conjecture,
    vf(vd1157,vd1158) != vf(vd1164,vd1165),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conjunct1(266), 1175, 0)'])]) ).

cnf(c_0_29,plain,
    ( vf(X1,X2) = vf(X3,X4)
    | X1 = X2
    | X5 = X2
    | X5 = X1
    | rline(esk9_6(X5,X1,X2,X6,X3,X4))
    | vangle(X1,X5,X2) != vangle(X3,X6,X4)
    | vf(X5,X2) != vf(X6,X4)
    | vf(X5,X1) != vf(X6,X3)
    | ~ rpoint(X5)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])])])])])]) ).

cnf(c_0_30,plain,
    ( vf(X1,X2) = vf(X3,X4)
    | X1 = X2
    | X5 = X2
    | X5 = X1
    | ron(X4,esk9_6(X5,X1,X2,X6,X3,X4))
    | vangle(X1,X5,X2) != vangle(X3,X6,X4)
    | vf(X5,X2) != vf(X6,X4)
    | vf(X5,X1) != vf(X6,X3)
    | ~ rpoint(X5)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])])])]) ).

cnf(c_0_31,plain,
    ( vf(X1,X2) = vf(X3,X4)
    | X1 = X2
    | X5 = X2
    | X5 = X1
    | ron(X6,esk9_6(X5,X1,X2,X6,X3,X4))
    | vangle(X1,X5,X2) != vangle(X3,X6,X4)
    | vf(X6,X4) != vf(X5,X2)
    | vf(X6,X3) != vf(X5,X1)
    | ~ rpoint(X5)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])])])])])]) ).

cnf(c_0_32,plain,
    ( vf(vd1164,vd1165) = vf(X1,X2)
    | X1 = X2
    | X3 = X2
    | X3 = X1
    | ron(vd1164,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
    | vangle(vd1157,vd1156,vd1158) != vangle(X1,X3,X2)
    | vf(X3,X2) != vf(vd1156,vd1158)
    | vf(X3,X1) != vf(vd1156,vd1157)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    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(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_33,plain,
    rpoint(vd1156),
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_34,plain,
    rpoint(vd1157),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_35,plain,
    rpoint(vd1158),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_36,negated_conjecture,
    vf(vd1157,vd1158) != vf(vd1164,vd1165),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,plain,
    vd1157 != vd1158,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_38,plain,
    vd1156 != vd1158,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_39,plain,
    vd1156 != vd1157,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_40,plain,
    ( vf(X1,X2) = vf(vd1164,vd1165)
    | X1 = X2
    | X3 = X2
    | X3 = X1
    | rline(esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
    | vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
    | vf(X3,X2) != vf(vd1156,vd1158)
    | vf(X3,X1) != vf(vd1156,vd1157)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    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(spm,[status(thm)],[c_0_29,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_41,plain,
    ( vf(X1,X2) = vf(vd1164,vd1165)
    | X1 = X2
    | X3 = X2
    | X3 = X1
    | ron(vd1165,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
    | vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
    | vf(X3,X2) != vf(vd1156,vd1158)
    | vf(X3,X1) != vf(vd1156,vd1157)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    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(spm,[status(thm)],[c_0_30,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_42,plain,
    ( vf(X1,X2) = vf(vd1164,vd1165)
    | X1 = X2
    | X3 = X2
    | X3 = X1
    | ron(vd1163,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
    | vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
    | vf(vd1156,vd1158) != vf(X3,X2)
    | vf(vd1156,vd1157) != vf(X3,X1)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    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(spm,[status(thm)],[c_0_31,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_43,plain,
    ( ~ ron(vd1165,X1)
    | ~ ron(vd1164,X1)
    | ~ ron(vd1163,X1)
    | ~ rline(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_44,plain,
    ron(vd1164,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(er,[status(thm)],[c_0_32]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_45,plain,
    rline(esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(er,[status(thm)],[c_0_40]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_46,plain,
    ron(vd1165,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(er,[status(thm)],[c_0_41]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_47,plain,
    ron(vd1163,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(er,[status(thm)],[c_0_42]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_48,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),c_0_47])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15  % Problem    : GEO287+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.15  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 06:47:59 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.19/0.49  Running first-order theorem proving
% 0.19/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.LE5rQbx4xp/E---3.1_3435.p
% 33.86/4.99  # Version: 3.1pre001
% 33.86/4.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 33.86/4.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.86/4.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.86/4.99  # Starting new_bool_3 with 300s (1) cores
% 33.86/4.99  # Starting new_bool_1 with 300s (1) cores
% 33.86/4.99  # Starting sh5l with 300s (1) cores
% 33.86/4.99  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3513 completed with status 0
% 33.86/4.99  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 33.86/4.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 33.86/4.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.86/4.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.86/4.99  # No SInE strategy applied
% 33.86/4.99  # Search class: FGHSF-FMLM33-SFFFFFNN
% 33.86/4.99  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 33.86/4.99  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 33.86/4.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 33.86/4.99  # Starting new_bool_3 with 136s (1) cores
% 33.86/4.99  # Starting new_bool_1 with 136s (1) cores
% 33.86/4.99  # Starting sh5l with 136s (1) cores
% 33.86/4.99  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 3517 completed with status 0
% 33.86/4.99  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 33.86/4.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 33.86/4.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.86/4.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.86/4.99  # No SInE strategy applied
% 33.86/4.99  # Search class: FGHSF-FMLM33-SFFFFFNN
% 33.86/4.99  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 33.86/4.99  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 33.86/4.99  # Preprocessing time       : 0.043 s
% 33.86/4.99  # Presaturation interreduction done
% 33.86/4.99  
% 33.86/4.99  # Proof found!
% 33.86/4.99  # SZS status Theorem
% 33.86/4.99  # SZS output start CNFRefutation
% See solution above
% 33.86/5.00  # Parsed axioms                        : 155
% 33.86/5.00  # Removed by relevancy pruning/SinE    : 0
% 33.86/5.00  # Initial clauses                      : 448
% 33.86/5.00  # Removed in clause preprocessing      : 22
% 33.86/5.00  # Initial clauses in saturation        : 426
% 33.86/5.00  # Processed clauses                    : 7421
% 33.86/5.00  # ...of these trivial                  : 33
% 33.86/5.00  # ...subsumed                          : 3799
% 33.86/5.00  # ...remaining for further processing  : 3589
% 33.86/5.00  # Other redundant clauses eliminated   : 2535
% 33.86/5.00  # Clauses deleted for lack of memory   : 0
% 33.86/5.00  # Backward-subsumed                    : 202
% 33.86/5.00  # Backward-rewritten                   : 6
% 33.86/5.00  # Generated clauses                    : 66277
% 33.86/5.00  # ...of the previous two non-redundant : 65697
% 33.86/5.00  # ...aggressively subsumed             : 0
% 33.86/5.00  # Contextual simplify-reflections      : 693
% 33.86/5.00  # Paramodulations                      : 65772
% 33.86/5.00  # Factorizations                       : 30
% 33.86/5.00  # NegExts                              : 0
% 33.86/5.00  # Equation resolutions                 : 2606
% 33.86/5.00  # Total rewrite steps                  : 21974
% 33.86/5.00  # Propositional unsat checks           : 0
% 33.86/5.00  #    Propositional check models        : 0
% 33.86/5.00  #    Propositional check unsatisfiable : 0
% 33.86/5.00  #    Propositional clauses             : 0
% 33.86/5.00  #    Propositional clauses after purity: 0
% 33.86/5.00  #    Propositional unsat core size     : 0
% 33.86/5.00  #    Propositional preprocessing time  : 0.000
% 33.86/5.00  #    Propositional encoding time       : 0.000
% 33.86/5.00  #    Propositional solver time         : 0.000
% 33.86/5.00  #    Success case prop preproc time    : 0.000
% 33.86/5.00  #    Success case prop encoding time   : 0.000
% 33.86/5.00  #    Success case prop solver time     : 0.000
% 33.86/5.00  # Current number of processed clauses  : 2559
% 33.86/5.00  #    Positive orientable unit clauses  : 41
% 33.86/5.00  #    Positive unorientable unit clauses: 0
% 33.86/5.00  #    Negative unit clauses             : 8
% 33.86/5.00  #    Non-unit-clauses                  : 2510
% 33.86/5.00  # Current number of unprocessed clauses: 58727
% 33.86/5.00  # ...number of literals in the above   : 635107
% 33.86/5.00  # Current number of archived formulas  : 0
% 33.86/5.00  # Current number of archived clauses   : 632
% 33.86/5.00  # Clause-clause subsumption calls (NU) : 3281780
% 33.86/5.00  # Rec. Clause-clause subsumption calls : 190125
% 33.86/5.00  # Non-unit clause-clause subsumptions  : 4682
% 33.86/5.00  # Unit Clause-clause subsumption calls : 4941
% 33.86/5.00  # Rewrite failures with RHS unbound    : 0
% 33.86/5.00  # BW rewrite match attempts            : 7
% 33.86/5.00  # BW rewrite match successes           : 3
% 33.86/5.00  # Condensation attempts                : 0
% 33.86/5.00  # Condensation successes               : 0
% 33.86/5.00  # Termbank termtop insertions          : 2920297
% 33.86/5.00  
% 33.86/5.00  # -------------------------------------------------
% 33.86/5.00  # User time                : 3.851 s
% 33.86/5.00  # System time              : 0.071 s
% 33.86/5.00  # Total time               : 3.923 s
% 33.86/5.00  # Maximum resident set size: 6524 pages
% 33.86/5.00  
% 33.86/5.00  # -------------------------------------------------
% 33.86/5.00  # User time                : 20.359 s
% 33.86/5.00  # System time              : 0.151 s
% 33.86/5.00  # Total time               : 20.510 s
% 33.86/5.00  # Maximum resident set size: 2628 pages
% 33.86/5.00  % E---3.1 exiting
% 33.86/5.00  % E---3.1 exiting
%------------------------------------------------------------------------------