TSTP Solution File: GEO295+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO295+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.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 04:05:20 EDT 2022

% Result   : Theorem 0.47s 33.65s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   75 (  55 unt;   0 def)
%            Number of atoms       :  322 ( 128 equ)
%            Maximal formula atoms :   70 (   4 avg)
%            Number of connectives :  409 ( 162   ~; 167   |;  76   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  19 con; 0-3 aty)
%            Number of variables   :   97 (   0 sgn  39   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
    ! [X357,X358,X359,X360] :
      ( ( rS(X357,X358,X359)
        & X359 = X360
        & rline(X360)
        & ? [X361] :
            ( X358 = X361
            & rpoint(X361) )
        & ? [X362] :
            ( X357 = X362
            & rpoint(X362) ) )
     => rS(X358,X357,X359) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).

fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
    ( ~ ? [X14] :
          ( ron(vd1187,X14)
          & ron(vd1186,X14)
          & ron(vd1185,X14)
          & rline(X14) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X15] :
        ( vd1187 = X15
        & rpoint(X15) )
    & ? [X16] :
        ( vd1186 = X16
        & rpoint(X16) )
    & ? [X17] :
        ( vd1185 = X17
        & rpoint(X17) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X18] :
        ( vd1180 = X18
        & rpoint(X18) )
    & ? [X19] :
        ( vd1179 = X19
        & rpoint(X19) )
    & ? [X20] :
        ( vd1178 = X20
        & rpoint(X20) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).

fof('qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))',axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( X5 != X6
        & ~ ron(X4,X6)
        & ~ ron(X4,X5)
        & X1 != X3
        & X1 != X2
        & ron(X3,X6)
        & ron(X2,X5)
        & ron(X1,X6)
        & ron(X1,X5)
        & ? [X7] :
            ( X6 = X7
            & rline(X7) )
        & ? [X8] :
            ( X5 = X8
            & rline(X8) )
        & ? [X9] :
            ( X4 = X9
            & rpoint(X9) )
        & ? [X10] :
            ( X3 = X10
            & rpoint(X10) )
        & ? [X11] :
            ( X2 = X11
            & rpoint(X11) )
        & ? [X12] :
            ( X1 = X12
            & rpoint(X12) ) )
     => ( vangle(X2,X1,X3) = vplus(vangle(X2,X1,X4),vangle(X4,X1,X3))
      <=> ( rS(X3,X4,X5)
          & rS(X2,X4,X6) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).

fof('qe(s3(plural(271)))',axiom,
    ? [X13] :
      ( vd1201 = X13
      & rpoint(X13) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qe(s3(plural(271)))') ).

fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
    ! [X29,X30,X31,X32] :
      ( ( rS(X29,X30,X31)
        & X31 = X32
        & rline(X32)
        & ? [X33] :
            ( X30 = X33
            & rpoint(X33) )
        & ? [X34] :
            ( X29 = X34
            & rpoint(X34) ) )
     => ~ ron(X29,X31) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof('holds(306, 1242, 0)',axiom,
    rS(vd1200,vd1187,vd1234),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(306, 1242, 0)') ).

fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
    vd1200 = vd1186,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).

fof('neg(neg(270))',axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','neg(neg(270))') ).

fof('pred(294, 0)',axiom,
    rline(vd1234),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(294, 0)') ).

fof('holds(307, 1243, 0)',conjecture,
    vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(307, 1243, 0)') ).

fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
    rS(vd1201,vd1187,vd1197),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).

fof('pred(269, 0)',axiom,
    rline(vd1197),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(269, 0)') ).

fof('holds(292, 1231, 0)',axiom,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(292, 1231, 0)') ).

fof('holds(291, 1230, 0)',axiom,
    vd1199 = vd1185,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(291, 1230, 0)') ).

fof('pred(s2(plural(294)), 0)',axiom,
    ron(vd1201,vd1234),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(s2(plural(294)), 0)') ).

fof('pred(s2(plural(269)), 0)',axiom,
    ron(vd1186,vd1197),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(s2(plural(269)), 0)') ).

fof('pred(s3(plural(274)), 0)',axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(s3(plural(274)), 0)') ).

fof('pred(s1(plural(294)), 0)',axiom,
    ron(vd1185,vd1234),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(s1(plural(294)), 0)') ).

fof('neg(neg(296))',axiom,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','neg(neg(296))') ).

fof('pred(s1(plural(293)), 0)',axiom,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(s1(plural(293)), 0)') ).

fof(c_0_20,plain,
    ! [X363,X364,X365,X366,X367,X368] :
      ( ~ rS(X363,X364,X365)
      | X365 != X366
      | ~ rline(X366)
      | X364 != X367
      | ~ rpoint(X367)
      | X363 != X368
      | ~ rpoint(X368)
      | rS(X364,X363,X365) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))'])])])])]) ).

fof(c_0_21,plain,
    ! [X21] :
      ( ( ~ ron(vd1187,X21)
        | ~ ron(vd1186,X21)
        | ~ ron(vd1185,X21)
        | ~ rline(X21) )
      & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
      & vf(vd1178,vd1180) = vf(vd1185,vd1187)
      & vf(vd1178,vd1179) = vf(vd1185,vd1186)
      & vd1187 = esk2_0
      & rpoint(esk2_0)
      & vd1186 = esk3_0
      & rpoint(esk3_0)
      & vd1185 = esk4_0
      & rpoint(esk4_0)
      & vd1179 != vd1180
      & vd1178 != vd1180
      & vd1178 != vd1179
      & vd1180 = esk5_0
      & rpoint(esk5_0)
      & vd1179 = esk6_0
      & rpoint(esk6_0)
      & vd1178 = esk7_0
      & rpoint(esk7_0) ),
    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)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))'])])])])])]) ).

fof(c_0_22,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( ( rS(X15,X16,X17)
        | vangle(X14,X13,X15) != vplus(vangle(X14,X13,X16),vangle(X16,X13,X15))
        | X17 = X18
        | ron(X16,X18)
        | ron(X16,X17)
        | X13 = X15
        | X13 = X14
        | ~ ron(X15,X18)
        | ~ ron(X14,X17)
        | ~ ron(X13,X18)
        | ~ ron(X13,X17)
        | X18 != X19
        | ~ rline(X19)
        | X17 != X20
        | ~ rline(X20)
        | X16 != X21
        | ~ rpoint(X21)
        | X15 != X22
        | ~ rpoint(X22)
        | X14 != X23
        | ~ rpoint(X23)
        | X13 != X24
        | ~ rpoint(X24) )
      & ( rS(X14,X16,X18)
        | vangle(X14,X13,X15) != vplus(vangle(X14,X13,X16),vangle(X16,X13,X15))
        | X17 = X18
        | ron(X16,X18)
        | ron(X16,X17)
        | X13 = X15
        | X13 = X14
        | ~ ron(X15,X18)
        | ~ ron(X14,X17)
        | ~ ron(X13,X18)
        | ~ ron(X13,X17)
        | X18 != X19
        | ~ rline(X19)
        | X17 != X20
        | ~ rline(X20)
        | X16 != X21
        | ~ rpoint(X21)
        | X15 != X22
        | ~ rpoint(X22)
        | X14 != X23
        | ~ rpoint(X23)
        | X13 != X24
        | ~ rpoint(X24) )
      & ( ~ rS(X15,X16,X17)
        | ~ rS(X14,X16,X18)
        | vangle(X14,X13,X15) = vplus(vangle(X14,X13,X16),vangle(X16,X13,X15))
        | X17 = X18
        | ron(X16,X18)
        | ron(X16,X17)
        | X13 = X15
        | X13 = X14
        | ~ ron(X15,X18)
        | ~ ron(X14,X17)
        | ~ ron(X13,X18)
        | ~ ron(X13,X17)
        | X18 != X19
        | ~ rline(X19)
        | X17 != X20
        | ~ rline(X20)
        | X16 != X21
        | ~ rpoint(X21)
        | X15 != X22
        | ~ rpoint(X22)
        | X14 != X23
        | ~ rpoint(X23)
        | X13 != X24
        | ~ rpoint(X24) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[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(190), 0), imp(cond(axiom(190), 0)))'])])])])])])]) ).

fof(c_0_23,plain,
    ( vd1201 = esk1_0
    & rpoint(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).

fof(c_0_24,plain,
    ! [X35,X36,X37,X38,X39,X40] :
      ( ~ rS(X35,X36,X37)
      | X37 != X38
      | ~ rline(X38)
      | X36 != X39
      | ~ rpoint(X39)
      | X35 != X40
      | ~ rpoint(X40)
      | ~ ron(X35,X37) ),
    inference(shift_quantors,[status(thm)],[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(99), 0), imp(cond(axiom(99), 0)))'])])])])])]) ).

cnf(c_0_25,plain,
    ( rS(X1,X2,X3)
    | ~ rpoint(X4)
    | X2 != X4
    | ~ rpoint(X5)
    | X1 != X5
    | ~ rline(X6)
    | X3 != X6
    | ~ rS(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    rS(vd1200,vd1187,vd1234),
    inference(split_conjunct,[status(thm)],['holds(306, 1242, 0)']) ).

cnf(c_0_27,plain,
    vd1200 = vd1186,
    inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).

cnf(c_0_28,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    vd1187 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    vd1186 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,plain,
    ( X2 = X4
    | X2 = X6
    | ron(X8,X10)
    | ron(X8,X12)
    | X10 = X12
    | vangle(X4,X2,X6) = vplus(vangle(X4,X2,X8),vangle(X8,X2,X6))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rpoint(X7)
    | X8 != X7
    | ~ rline(X9)
    | X10 != X9
    | ~ rline(X11)
    | X12 != X11
    | ~ ron(X2,X10)
    | ~ ron(X2,X12)
    | ~ ron(X4,X10)
    | ~ ron(X6,X12)
    | ~ rS(X4,X8,X12)
    | ~ rS(X6,X8,X10) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,plain,
    vd1201 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_35,plain,
    ~ ron(vd1187,vd1197),
    inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).

cnf(c_0_36,plain,
    ( ~ ron(X1,X2)
    | ~ rpoint(X3)
    | X1 != X3
    | ~ rpoint(X4)
    | X5 != X4
    | ~ rline(X6)
    | X2 != X6
    | ~ rS(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_37,plain,
    ( rS(X1,X2,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ rS(X2,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])])]) ).

cnf(c_0_38,plain,
    rS(vd1186,vd1187,vd1234),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_39,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_40,plain,
    rpoint(vd1186),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_41,plain,
    rline(vd1234),
    inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).

fof(c_0_42,negated_conjecture,
    vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
    inference(assume_negation,[status(cth)],['holds(307, 1243, 0)']) ).

cnf(c_0_43,plain,
    ( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
    | X5 = X6
    | X2 = X4
    | X2 = X1
    | ron(X3,X6)
    | ron(X3,X5)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X6)
    | ~ rline(X5)
    | ~ ron(X4,X6)
    | ~ ron(X1,X5)
    | ~ ron(X2,X6)
    | ~ ron(X2,X5)
    | ~ rS(X4,X3,X5)
    | ~ rS(X1,X3,X6) ),
    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_32])])])])])]) ).

cnf(c_0_44,plain,
    rS(vd1201,vd1187,vd1197),
    inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).

cnf(c_0_45,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_46,plain,
    rline(vd1197),
    inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).

cnf(c_0_47,plain,
    ~ ron(vd1187,vd1197),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_48,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ ron(X2,X3)
    | ~ rS(X2,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])])]) ).

cnf(c_0_49,plain,
    rS(vd1187,vd1186,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41])]) ).

fof(c_0_50,negated_conjecture,
    vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

cnf(c_0_51,plain,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    inference(split_conjunct,[status(thm)],['holds(292, 1231, 0)']) ).

cnf(c_0_52,plain,
    vd1199 = vd1185,
    inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).

cnf(c_0_53,plain,
    ( vplus(vangle(X1,X2,vd1187),vangle(vd1187,X2,vd1201)) = vangle(X1,X2,vd1201)
    | X2 = vd1201
    | vd1197 = X3
    | X2 = X1
    | ron(vd1187,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ ron(vd1201,X3)
    | ~ ron(X1,vd1197)
    | ~ ron(X2,vd1197)
    | ~ ron(X2,X3)
    | ~ rS(X1,vd1187,X3) ),
    inference(sr,[status(thm)],[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_39]),c_0_45]),c_0_46])]),c_0_47]) ).

cnf(c_0_54,plain,
    ron(vd1201,vd1234),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(294)), 0)']) ).

cnf(c_0_55,plain,
    ron(vd1186,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(269)), 0)']) ).

cnf(c_0_56,plain,
    ~ ron(vd1187,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_40]),c_0_39]),c_0_41])]) ).

cnf(c_0_57,plain,
    rpoint(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_58,plain,
    vd1185 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_59,negated_conjecture,
    vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,plain,
    vangle(vd1186,vd1185,vd1187) = vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_27]),c_0_52]) ).

cnf(c_0_61,plain,
    ( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
    | vd1234 = vd1197
    | X1 = vd1186
    | X1 = vd1201
    | ~ rpoint(X1)
    | ~ ron(X1,vd1197)
    | ~ ron(X1,vd1234) ),
    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(spm,[status(thm)],[c_0_53,c_0_38]),c_0_40]),c_0_41]),c_0_54]),c_0_55])]),c_0_56]) ).

cnf(c_0_62,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_63,plain,
    ron(vd1185,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).

cnf(c_0_64,plain,
    ron(vd1185,vd1234),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).

cnf(c_0_65,negated_conjecture,
    vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) != vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[c_0_59,c_0_60]) ).

fof(c_0_66,plain,
    ~ ron(vd1201,vd1232),
    inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).

cnf(c_0_67,plain,
    ( vd1201 = vd1185
    | vd1186 = vd1185
    | vd1234 = vd1197 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_60]),c_0_62]),c_0_63]),c_0_64])]),c_0_65]) ).

cnf(c_0_68,plain,
    ~ ron(vd1201,vd1197),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_39]),c_0_45]),c_0_46])]) ).

cnf(c_0_69,plain,
    ~ ron(vd1201,vd1232),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_70,plain,
    ( vd1186 = vd1185
    | vd1201 = vd1185 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_67]),c_0_68]) ).

cnf(c_0_71,plain,
    ron(vd1185,vd1232),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).

cnf(c_0_72,plain,
    ~ ron(vd1186,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_38]),c_0_39]),c_0_40]),c_0_41])]) ).

cnf(c_0_73,plain,
    vd1186 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_74,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_64])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO295+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 16:12:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.41/23.43  eprover: CPU time limit exceeded, terminating
% 0.41/23.43  eprover: CPU time limit exceeded, terminating
% 0.41/23.44  eprover: CPU time limit exceeded, terminating
% 0.41/23.44  eprover: CPU time limit exceeded, terminating
% 0.47/33.65  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.47/33.65  
% 0.47/33.65  # Failure: Resource limit exceeded (time)
% 0.47/33.65  # OLD status Res
% 0.47/33.65  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.47/33.65  # Preprocessing time       : 0.057 s
% 0.47/33.65  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.47/33.65  # Preprocessing time       : 0.078 s
% 0.47/33.65  
% 0.47/33.65  # Proof found!
% 0.47/33.65  # SZS status Theorem
% 0.47/33.65  # SZS output start CNFRefutation
% See solution above
% 0.47/33.65  # Proof object total steps             : 75
% 0.47/33.65  # Proof object clause steps            : 46
% 0.47/33.65  # Proof object formula steps           : 29
% 0.47/33.65  # Proof object conjectures             : 5
% 0.47/33.65  # Proof object clause conjectures      : 2
% 0.47/33.65  # Proof object formula conjectures     : 3
% 0.47/33.65  # Proof object initial clauses used    : 26
% 0.47/33.65  # Proof object initial formulas used   : 20
% 0.47/33.65  # Proof object generating inferences   : 9
% 0.47/33.65  # Proof object simplifying inferences  : 58
% 0.47/33.65  # Training examples: 0 positive, 0 negative
% 0.47/33.65  # Parsed axioms                        : 150
% 0.47/33.65  # Removed by relevancy pruning/SinE    : 0
% 0.47/33.65  # Initial clauses                      : 317
% 0.47/33.65  # Removed in clause preprocessing      : 2
% 0.47/33.65  # Initial clauses in saturation        : 315
% 0.47/33.65  # Processed clauses                    : 22413
% 0.47/33.65  # ...of these trivial                  : 75
% 0.47/33.65  # ...subsumed                          : 15942
% 0.47/33.65  # ...remaining for further processing  : 6396
% 0.47/33.65  # Other redundant clauses eliminated   : 1112
% 0.47/33.65  # Clauses deleted for lack of memory   : 49997
% 0.47/33.65  # Backward-subsumed                    : 612
% 0.47/33.65  # Backward-rewritten                   : 2328
% 0.47/33.65  # Generated clauses                    : 169901
% 0.47/33.65  # ...of the previous two non-trivial   : 160074
% 0.47/33.65  # Contextual simplify-reflections      : 16130
% 0.47/33.65  # Paramodulations                      : 169646
% 0.47/33.65  # Factorizations                       : 0
% 0.47/33.65  # Equation resolutions                 : 1127
% 0.47/33.65  # Current number of processed clauses  : 3216
% 0.47/33.65  #    Positive orientable unit clauses  : 43
% 0.47/33.65  #    Positive unorientable unit clauses: 0
% 0.47/33.65  #    Negative unit clauses             : 18
% 0.47/33.65  #    Non-unit-clauses                  : 3155
% 0.47/33.65  # Current number of unprocessed clauses: 48397
% 0.47/33.65  # ...number of literals in the above   : 572260
% 0.47/33.65  # Current number of archived formulas  : 0
% 0.47/33.65  # Current number of archived clauses   : 2940
% 0.47/33.65  # Clause-clause subsumption calls (NU) : 20847112
% 0.47/33.65  # Rec. Clause-clause subsumption calls : 796297
% 0.47/33.65  # Non-unit clause-clause subsumptions  : 29379
% 0.47/33.65  # Unit Clause-clause subsumption calls : 7540
% 0.47/33.65  # Rewrite failures with RHS unbound    : 0
% 0.47/33.65  # BW rewrite match attempts            : 23
% 0.47/33.65  # BW rewrite match successes           : 15
% 0.47/33.65  # Condensation attempts                : 0
% 0.47/33.65  # Condensation successes               : 0
% 0.47/33.65  # Termbank termtop insertions          : 6443779
% 0.47/33.65  
% 0.47/33.65  # -------------------------------------------------
% 0.47/33.65  # User time                : 9.304 s
% 0.47/33.65  # System time              : 0.093 s
% 0.47/33.65  # Total time               : 9.397 s
% 0.47/33.65  # Maximum resident set size: 135728 pages
%------------------------------------------------------------------------------