TSTP Solution File: GEO292+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO292+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 17:34:48 EDT 2023

% Result   : Theorem 794.98s 100.78s
% Output   : CNFRefutation 794.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   69 (  51 unt;   0 def)
%            Number of atoms       :  321 ( 131 equ)
%            Maximal formula atoms :   70 (   4 avg)
%            Number of connectives :  400 ( 148   ~; 149   |;  97   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   94 (   0 sgn;  39   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))',axiom,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( X19 != X20
        & ~ ron(X18,X20)
        & ~ ron(X18,X19)
        & X15 != X17
        & X15 != X16
        & ron(X17,X20)
        & ron(X16,X19)
        & ron(X15,X20)
        & ron(X15,X19)
        & ? [X21] :
            ( X20 = X21
            & rline(X21) )
        & ? [X22] :
            ( X19 = X22
            & rline(X22) )
        & ? [X23] :
            ( X18 = X23
            & rpoint(X23) )
        & ? [X24] :
            ( X17 = X24
            & rpoint(X24) )
        & ? [X25] :
            ( X16 = X25
            & rpoint(X25) )
        & ? [X26] :
            ( X15 = X26
            & rpoint(X26) ) )
     => ( vangle(X16,X15,X17) = vplus(vangle(X16,X15,X18),vangle(X18,X15,X17))
      <=> ( rS(X17,X18,X19)
          & rS(X16,X18,X20) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).

fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
    ! [X351,X352,X353,X354] :
      ( ( rS(X351,X352,X353)
        & X353 = X354
        & rline(X354)
        & ? [X355] :
            ( X352 = X355
            & rpoint(X355) )
        & ? [X356] :
            ( X351 = X356
            & rpoint(X356) ) )
     => ~ ron(X351,X353) ),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 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,
    ( ~ ? [X2] :
          ( ron(vd1187,X2)
          & ron(vd1186,X2)
          & ron(vd1185,X2)
          & rline(X2) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X3] :
        ( vd1187 = X3
        & rpoint(X3) )
    & ? [X4] :
        ( vd1186 = X4
        & rpoint(X4) )
    & ? [X5] :
        ( vd1185 = X5
        & rpoint(X5) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X6] :
        ( vd1180 = X6
        & rpoint(X6) )
    & ? [X7] :
        ( vd1179 = X7
        & rpoint(X7) )
    & ? [X8] :
        ( vd1178 = X8
        & rpoint(X8) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','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('qe(s3(plural(271)))',axiom,
    ? [X1] :
      ( vd1201 = X1
      & rpoint(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','qe(s3(plural(271)))') ).

fof('neg(neg(296))',axiom,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','neg(neg(296))') ).

fof('holds(298, 1237, 0)',axiom,
    rS(vd1186,vd1201,vd1232),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','holds(298, 1237, 0)') ).

fof('pred(293, 0)',axiom,
    rline(vd1232),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','pred(293, 0)') ).

fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
    rS(vd1201,vd1187,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).

fof('pred(269, 0)',axiom,
    rline(vd1197),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','pred(269, 0)') ).

fof('holds(299, 1238, 0)',conjecture,
    vangle(vd1186,vd1185,vd1187) = vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','holds(299, 1238, 0)') ).

fof('holds(292, 1231, 0)',axiom,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','holds(292, 1231, 0)') ).

fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
    vd1200 = vd1186,
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).

fof('holds(291, 1230, 0)',axiom,
    vd1199 = vd1185,
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','holds(291, 1230, 0)') ).

fof('holds(295, 1236, 0)',axiom,
    rS(vd1187,vd1201,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','holds(295, 1236, 0)') ).

fof('pred(s2(plural(269)), 0)',axiom,
    ron(vd1186,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','pred(s2(plural(269)), 0)') ).

fof('pred(s2(plural(293)), 0)',axiom,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','pred(s2(plural(293)), 0)') ).

fof('pred(s1(plural(293)), 0)',axiom,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','pred(s1(plural(293)), 0)') ).

fof('pred(s1(plural(269)), 0)',axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','pred(s1(plural(269)), 0)') ).

fof('neg(neg(270))',axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.CUrGMptpTQ/E---3.1_31232.p','neg(neg(270))') ).

fof(c_0_19,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( X19 != X20
        & ~ ron(X18,X20)
        & ~ ron(X18,X19)
        & X15 != X17
        & X15 != X16
        & ron(X17,X20)
        & ron(X16,X19)
        & ron(X15,X20)
        & ron(X15,X19)
        & ? [X21] :
            ( X20 = X21
            & rline(X21) )
        & ? [X22] :
            ( X19 = X22
            & rline(X22) )
        & ? [X23] :
            ( X18 = X23
            & rpoint(X23) )
        & ? [X24] :
            ( X17 = X24
            & rpoint(X24) )
        & ? [X25] :
            ( X16 = X25
            & rpoint(X25) )
        & ? [X26] :
            ( X15 = X26
            & rpoint(X26) ) )
     => ( vangle(X16,X15,X17) = vplus(vangle(X16,X15,X18),vangle(X18,X15,X17))
      <=> ( rS(X17,X18,X19)
          & rS(X16,X18,X20) ) ) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))']) ).

fof(c_0_20,plain,
    ! [X351,X352,X353,X354] :
      ( ( rS(X351,X352,X353)
        & X353 = X354
        & rline(X354)
        & ? [X355] :
            ( X352 = X355
            & rpoint(X355) )
        & ? [X356] :
            ( X351 = X356
            & rpoint(X356) ) )
     => ~ ron(X351,X353) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).

fof(c_0_21,plain,
    ! [X769,X770,X771,X772,X773,X774,X775,X776,X777,X778,X779,X780] :
      ( ( rS(X771,X772,X773)
        | vangle(X770,X769,X771) != vplus(vangle(X770,X769,X772),vangle(X772,X769,X771))
        | X773 = X774
        | ron(X772,X774)
        | ron(X772,X773)
        | X769 = X771
        | X769 = X770
        | ~ ron(X771,X774)
        | ~ ron(X770,X773)
        | ~ ron(X769,X774)
        | ~ ron(X769,X773)
        | X774 != X775
        | ~ rline(X775)
        | X773 != X776
        | ~ rline(X776)
        | X772 != X777
        | ~ rpoint(X777)
        | X771 != X778
        | ~ rpoint(X778)
        | X770 != X779
        | ~ rpoint(X779)
        | X769 != X780
        | ~ rpoint(X780) )
      & ( rS(X770,X772,X774)
        | vangle(X770,X769,X771) != vplus(vangle(X770,X769,X772),vangle(X772,X769,X771))
        | X773 = X774
        | ron(X772,X774)
        | ron(X772,X773)
        | X769 = X771
        | X769 = X770
        | ~ ron(X771,X774)
        | ~ ron(X770,X773)
        | ~ ron(X769,X774)
        | ~ ron(X769,X773)
        | X774 != X775
        | ~ rline(X775)
        | X773 != X776
        | ~ rline(X776)
        | X772 != X777
        | ~ rpoint(X777)
        | X771 != X778
        | ~ rpoint(X778)
        | X770 != X779
        | ~ rpoint(X779)
        | X769 != X780
        | ~ rpoint(X780) )
      & ( ~ rS(X771,X772,X773)
        | ~ rS(X770,X772,X774)
        | vangle(X770,X769,X771) = vplus(vangle(X770,X769,X772),vangle(X772,X769,X771))
        | X773 = X774
        | ron(X772,X774)
        | ron(X772,X773)
        | X769 = X771
        | X769 = X770
        | ~ ron(X771,X774)
        | ~ ron(X770,X773)
        | ~ ron(X769,X774)
        | ~ ron(X769,X773)
        | X774 != X775
        | ~ rline(X775)
        | X773 != X776
        | ~ rline(X776)
        | X772 != X777
        | ~ rpoint(X777)
        | X771 != X778
        | ~ rpoint(X778)
        | X770 != X779
        | ~ rpoint(X779)
        | X769 != X780
        | ~ rpoint(X780) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).

fof(c_0_22,plain,
    ! [X756] :
      ( ( ~ ron(vd1187,X756)
        | ~ ron(vd1186,X756)
        | ~ ron(vd1185,X756)
        | ~ rline(X756) )
      & 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(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_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,
    ! [X1135,X1136,X1137,X1138,X1139,X1140] :
      ( ~ rS(X1135,X1136,X1137)
      | X1137 != X1138
      | ~ rline(X1138)
      | X1136 != X1139
      | ~ rpoint(X1139)
      | X1135 != X1140
      | ~ rpoint(X1140)
      | ~ ron(X1135,X1137) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).

cnf(c_0_25,plain,
    ( vangle(X4,X6,X1) = vplus(vangle(X4,X6,X2),vangle(X2,X6,X1))
    | X3 = X5
    | ron(X2,X5)
    | ron(X2,X3)
    | X6 = X1
    | X6 = X4
    | ~ rS(X1,X2,X3)
    | ~ rS(X4,X2,X5)
    | ~ ron(X1,X5)
    | ~ ron(X4,X3)
    | ~ ron(X6,X5)
    | ~ ron(X6,X3)
    | X5 != X7
    | ~ rline(X7)
    | X3 != X8
    | ~ rline(X8)
    | X2 != X9
    | ~ rpoint(X9)
    | X1 != X10
    | ~ rpoint(X10)
    | X4 != X11
    | ~ rpoint(X11)
    | X6 != X12
    | ~ rpoint(X12) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,plain,
    vd1186 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    vd1201 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,plain,
    ~ ron(vd1201,vd1232),
    inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).

cnf(c_0_31,plain,
    ( ~ rS(X1,X2,X3)
    | X3 != X4
    | ~ rline(X4)
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | ~ ron(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    vd1187 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,plain,
    ( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
    | X1 = X2
    | X5 = X6
    | X4 = X2
    | ron(X3,X6)
    | ron(X3,X5)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rline(X5)
    | ~ rline(X6)
    | ~ ron(X2,X6)
    | ~ ron(X2,X5)
    | ~ ron(X1,X5)
    | ~ ron(X4,X6)
    | ~ rS(X1,X3,X6)
    | ~ rS(X4,X3,X5) ),
    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_25])])])])])]) ).

cnf(c_0_35,plain,
    rS(vd1186,vd1201,vd1232),
    inference(split_conjunct,[status(thm)],['holds(298, 1237, 0)']) ).

cnf(c_0_36,plain,
    rpoint(vd1186),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_37,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_38,plain,
    rline(vd1232),
    inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).

cnf(c_0_39,plain,
    ~ ron(vd1201,vd1232),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ ron(X1,X3)
    | ~ rS(X1,X2,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])])]) ).

cnf(c_0_41,plain,
    rS(vd1201,vd1187,vd1197),
    inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).

cnf(c_0_42,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_43,plain,
    rline(vd1197),
    inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).

fof(c_0_44,negated_conjecture,
    vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(299, 1238, 0)'])]) ).

cnf(c_0_45,plain,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    inference(split_conjunct,[status(thm)],['holds(292, 1231, 0)']) ).

cnf(c_0_46,plain,
    vd1200 = vd1186,
    inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).

cnf(c_0_47,plain,
    vd1199 = vd1185,
    inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).

cnf(c_0_48,plain,
    ( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,X2)) = vangle(vd1186,X1,X2)
    | vd1186 = X1
    | X3 = vd1232
    | X2 = X1
    | ron(vd1201,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ ron(X1,vd1232)
    | ~ ron(vd1186,X3)
    | ~ ron(X2,vd1232)
    | ~ ron(X1,X3)
    | ~ rS(X2,vd1201,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_34,c_0_35]),c_0_36]),c_0_37]),c_0_38])]),c_0_39]) ).

cnf(c_0_49,plain,
    rS(vd1187,vd1201,vd1197),
    inference(split_conjunct,[status(thm)],['holds(295, 1236, 0)']) ).

cnf(c_0_50,plain,
    ron(vd1186,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(269)), 0)']) ).

cnf(c_0_51,plain,
    ron(vd1187,vd1232),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']) ).

cnf(c_0_52,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_40,c_0_41]),c_0_37]),c_0_42]),c_0_43])]) ).

cnf(c_0_53,plain,
    rpoint(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_54,plain,
    vd1185 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_55,negated_conjecture,
    vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_56,plain,
    vangle(vd1186,vd1185,vd1187) = vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_57,plain,
    ( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
    | vd1232 = vd1197
    | vd1187 = X1
    | vd1186 = X1
    | ~ rpoint(X1)
    | ~ ron(X1,vd1232)
    | ~ ron(X1,vd1197) ),
    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_48,c_0_49]),c_0_42]),c_0_43]),c_0_50]),c_0_51])]),c_0_52]) ).

cnf(c_0_58,plain,
    ron(vd1185,vd1232),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).

cnf(c_0_59,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_60,plain,
    ron(vd1185,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(269)), 0)']) ).

cnf(c_0_61,negated_conjecture,
    vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) != vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_62,plain,
    ~ ron(vd1187,vd1197),
    inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).

cnf(c_0_63,plain,
    ( vd1186 = vd1185
    | vd1187 = vd1185
    | vd1232 = 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_57,c_0_58]),c_0_56]),c_0_59]),c_0_60])]),c_0_61]) ).

cnf(c_0_64,plain,
    ~ ron(vd1187,vd1197),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_65,plain,
    ( vd1187 = vd1185
    | vd1186 = vd1185 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_63]),c_0_64]) ).

cnf(c_0_66,plain,
    ~ ron(vd1186,vd1232),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_67,plain,
    vd1186 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_60])]) ).

cnf(c_0_68,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_58])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO292+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n031.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 07:10:29 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.CUrGMptpTQ/E---3.1_31232.p
% 794.98/100.78  # Version: 3.1pre001
% 794.98/100.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 794.98/100.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 794.98/100.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 794.98/100.78  # Starting new_bool_3 with 300s (1) cores
% 794.98/100.78  # Starting new_bool_1 with 300s (1) cores
% 794.98/100.78  # Starting sh5l with 300s (1) cores
% 794.98/100.78  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 31343 completed with status 0
% 794.98/100.78  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 794.98/100.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 794.98/100.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 794.98/100.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 794.98/100.78  # No SInE strategy applied
% 794.98/100.78  # Search class: FGHSF-FSLM33-SFFFFFNN
% 794.98/100.78  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 794.98/100.78  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 794.98/100.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 794.98/100.78  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 794.98/100.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 794.98/100.78  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 794.98/100.78  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 31381 completed with status 0
% 794.98/100.78  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 794.98/100.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 794.98/100.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 794.98/100.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 794.98/100.78  # No SInE strategy applied
% 794.98/100.78  # Search class: FGHSF-FSLM33-SFFFFFNN
% 794.98/100.78  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 794.98/100.78  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 794.98/100.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 794.98/100.78  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 794.98/100.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 794.98/100.78  # Preprocessing time       : 0.021 s
% 794.98/100.78  # Presaturation interreduction done
% 794.98/100.78  
% 794.98/100.78  # Proof found!
% 794.98/100.78  # SZS status Theorem
% 794.98/100.78  # SZS output start CNFRefutation
% See solution above
% 794.98/100.78  # Parsed axioms                        : 149
% 794.98/100.78  # Removed by relevancy pruning/SinE    : 0
% 794.98/100.78  # Initial clauses                      : 316
% 794.98/100.78  # Removed in clause preprocessing      : 2
% 794.98/100.78  # Initial clauses in saturation        : 314
% 794.98/100.78  # Processed clauses                    : 46913
% 794.98/100.78  # ...of these trivial                  : 1539
% 794.98/100.78  # ...subsumed                          : 20409
% 794.98/100.78  # ...remaining for further processing  : 24965
% 794.98/100.78  # Other redundant clauses eliminated   : 1127
% 794.98/100.78  # Clauses deleted for lack of memory   : 29246
% 794.98/100.78  # Backward-subsumed                    : 1782
% 794.98/100.78  # Backward-rewritten                   : 4369
% 794.98/100.78  # Generated clauses                    : 1853163
% 794.98/100.78  # ...of the previous two non-redundant : 1615415
% 794.98/100.78  # ...aggressively subsumed             : 0
% 794.98/100.78  # Contextual simplify-reflections      : 1365
% 794.98/100.78  # Paramodulations                      : 1851660
% 794.98/100.78  # Factorizations                       : 1232
% 794.98/100.78  # NegExts                              : 0
% 794.98/100.78  # Equation resolutions                 : 1146
% 794.98/100.78  # Total rewrite steps                  : 3371270
% 794.98/100.78  # Propositional unsat checks           : 4
% 794.98/100.78  #    Propositional check models        : 0
% 794.98/100.78  #    Propositional check unsatisfiable : 0
% 794.98/100.78  #    Propositional clauses             : 0
% 794.98/100.78  #    Propositional clauses after purity: 0
% 794.98/100.78  #    Propositional unsat core size     : 0
% 794.98/100.78  #    Propositional preprocessing time  : 0.000
% 794.98/100.78  #    Propositional encoding time       : 2.864
% 794.98/100.78  #    Propositional solver time         : 2.051
% 794.98/100.78  #    Success case prop preproc time    : 0.000
% 794.98/100.78  #    Success case prop encoding time   : 0.000
% 794.98/100.78  #    Success case prop solver time     : 0.000
% 794.98/100.78  # Current number of processed clauses  : 18270
% 794.98/100.78  #    Positive orientable unit clauses  : 3070
% 794.98/100.78  #    Positive unorientable unit clauses: 0
% 794.98/100.78  #    Negative unit clauses             : 290
% 794.98/100.78  #    Non-unit-clauses                  : 14910
% 794.98/100.78  # Current number of unprocessed clauses: 833429
% 794.98/100.78  # ...number of literals in the above   : 5734293
% 794.98/100.78  # Current number of archived formulas  : 0
% 794.98/100.78  # Current number of archived clauses   : 6449
% 794.98/100.78  # Clause-clause subsumption calls (NU) : 112866975
% 794.98/100.78  # Rec. Clause-clause subsumption calls : 19176485
% 794.98/100.78  # Non-unit clause-clause subsumptions  : 21871
% 794.98/100.78  # Unit Clause-clause subsumption calls : 4398726
% 794.98/100.78  # Rewrite failures with RHS unbound    : 0
% 794.98/100.78  # BW rewrite match attempts            : 208632
% 794.98/100.78  # BW rewrite match successes           : 361
% 794.98/100.78  # Condensation attempts                : 0
% 794.98/100.78  # Condensation successes               : 0
% 794.98/100.78  # Termbank termtop insertions          : 137361073
% 794.98/100.78  
% 794.98/100.78  # -------------------------------------------------
% 794.98/100.78  # User time                : 98.313 s
% 794.98/100.78  # System time              : 1.473 s
% 794.98/100.78  # Total time               : 99.787 s
% 794.98/100.78  # Maximum resident set size: 4516 pages
% 794.98/100.78  
% 794.98/100.78  # -------------------------------------------------
% 794.98/100.78  # User time                : 493.088 s
% 794.98/100.78  # System time              : 4.292 s
% 794.98/100.78  # Total time               : 497.380 s
% 794.98/100.78  # Maximum resident set size: 2556 pages
% 794.98/100.78  % E---3.1 exiting
%------------------------------------------------------------------------------