↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO306+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 04:05:23 EDT 2022

% Result   : Theorem 0.45s 48.65s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   67 (  26 unt;   0 def)
%            Number of atoms       :  336 ( 150 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  457 ( 188   ~; 184   |;  79   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-8 aty)
%            Number of variables   :  159 (   0 sgn  76   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
    ! [X114,X115] :
      ( ( ? [X116] :
            ( X115 = X116
            & rpoint(X116) )
        & ? [X117] :
            ( X114 = X117
            & rpoint(X117) ) )
     => vf(X114,X115) = vf(X115,X114) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof('qe(352)',conjecture,
    ? [X1] :
      ( vf(vd1287,vd1299) = vf(vd1287,X1)
      & rR(X1,vd1287,vd1302)
      & rpoint(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qe(352)') ).

fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & ? [X2] :
        ( vd1289 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1288 = X3
        & rpoint(X3) )
    & ? [X4] :
        ( vd1287 = X4
        & rpoint(X4) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

fof('ass(cond(goal(238), 0), 0)',axiom,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ( rless(vf(X17,X19),vf(X13,X15))
        & X17 != X19
        & X13 != X15
        & X19 = X20
        & rpoint(X20)
        & X17 = X18
        & rpoint(X18)
        & X15 = X16
        & rpoint(X16)
        & X13 = X14
        & rpoint(X14) )
     => vf(X13,vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20)) = vf(X17,X19) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).

fof('ass(cond(goal(238), 0), 1)',axiom,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ( rless(vf(X17,X19),vf(X13,X15))
        & X17 != X19
        & X13 != X15
        & X19 = X20
        & rpoint(X20)
        & X17 = X18
        & rpoint(X18)
        & X15 = X16
        & rpoint(X16)
        & X13 = X14
        & rpoint(X14) )
     => rR(vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20),X13,X15) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).

fof('ass(cond(goal(238), 0), 2)',axiom,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ( rless(vf(X17,X19),vf(X13,X15))
        & X17 != X19
        & X13 != X15
        & X19 = X20
        & rpoint(X20)
        & X17 = X18
        & rpoint(X18)
        & X15 = X16
        & rpoint(X16)
        & X13 = X14
        & rpoint(X14) )
     => rpoint(vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).

fof('holds(351, 1305, 0)',axiom,
    rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','holds(351, 1305, 0)') ).

fof('pred(348, 4)',axiom,
    vd1299 = vd1300,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','pred(348, 4)') ).

fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
    ( vd1302 = vd1303
    & rR(vd1289,vd1287,vd1302)
    & rpoint(vd1303)
    & rR(vd1288,vd1287,vd1299) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

fof('qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))',axiom,
    ! [X380,X381,X382,X383] :
      ( ( rR(X381,X380,X383)
        & rR(X381,X380,X382)
        & ? [X384] :
            ( X383 = X384
            & rpoint(X384) )
        & ? [X385] :
            ( X382 = X385
            & rpoint(X385) )
        & ? [X386] :
            ( X381 = X386
            & rpoint(X386) )
        & ? [X387] :
            ( X380 = X387
            & rpoint(X387) ) )
     => ~ rR(X381,X382,X383) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).

fof('pred(348, 1)',axiom,
    rpoint(vd1300),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','pred(348, 1)') ).

fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
    ! [X163,X164,X165] :
      ( ( rR(X164,X163,X165)
        & ? [X166] :
            ( X165 = X166
            & rpoint(X166) )
        & ? [X167] :
            ( X164 = X167
            & rpoint(X167) )
        & ? [X168] :
            ( X163 = X168
            & rpoint(X168) ) )
     => ( ~ rR(X163,X164,X165)
        & X163 != X165
        & X163 != X164
        & rR(X164,X165,X163) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof(c_0_12,plain,
    ! [X118,X119,X120,X121] :
      ( X119 != X120
      | ~ rpoint(X120)
      | X118 != X121
      | ~ rpoint(X121)
      | vf(X118,X119) = vf(X119,X118) ),
    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(166), 0), imp(cond(axiom(166), 0)))'])])])])]) ).

fof(c_0_13,negated_conjecture,
    ~ ? [X1] :
        ( vf(vd1287,vd1299) = vf(vd1287,X1)
        & rR(X1,vd1287,vd1302)
        & rpoint(X1) ),
    inference(assume_negation,[status(cth)],['qe(352)']) ).

cnf(c_0_14,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X3)
    | X1 != X3
    | ~ rpoint(X4)
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & vd1289 = esk1_0
    & rpoint(esk1_0)
    & vd1288 = esk2_0
    & rpoint(esk2_0)
    & vd1287 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))'])])])]) ).

fof(c_0_16,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28] :
      ( ~ rless(vf(X25,X27),vf(X21,X23))
      | X25 = X27
      | X21 = X23
      | X27 != X28
      | ~ rpoint(X28)
      | X25 != X26
      | ~ rpoint(X26)
      | X23 != X24
      | ~ rpoint(X24)
      | X21 != X22
      | ~ rpoint(X22)
      | vf(X21,vskolem1120(X21,X22,X23,X24,X25,X26,X27,X28)) = vf(X25,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 0)'])]) ).

fof(c_0_17,negated_conjecture,
    ! [X2] :
      ( vf(vd1287,vd1299) != vf(vd1287,X2)
      | ~ rR(X2,vd1287,vd1302)
      | ~ rpoint(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

cnf(c_0_18,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])]) ).

cnf(c_0_19,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_20,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28] :
      ( ~ rless(vf(X25,X27),vf(X21,X23))
      | X25 = X27
      | X21 = X23
      | X27 != X28
      | ~ rpoint(X28)
      | X25 != X26
      | ~ rpoint(X26)
      | X23 != X24
      | ~ rpoint(X24)
      | X21 != X22
      | ~ rpoint(X22)
      | rR(vskolem1120(X21,X22,X23,X24,X25,X26,X27,X28),X21,X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 1)'])]) ).

fof(c_0_21,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28] :
      ( ~ rless(vf(X25,X27),vf(X21,X23))
      | X25 = X27
      | X21 = X23
      | X27 != X28
      | ~ rpoint(X28)
      | X25 != X26
      | ~ rpoint(X26)
      | X23 != X24
      | ~ rpoint(X24)
      | X21 != X22
      | ~ rpoint(X22)
      | rpoint(vskolem1120(X21,X22,X23,X24,X25,X26,X27,X28)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 2)'])]) ).

cnf(c_0_22,plain,
    ( vf(X1,vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8)) = vf(X5,X7)
    | X1 = X3
    | X5 = X7
    | ~ rpoint(X2)
    | X1 != X2
    | ~ rpoint(X4)
    | X3 != X4
    | ~ rpoint(X6)
    | X5 != X6
    | ~ rpoint(X8)
    | X7 != X8
    | ~ rless(vf(X5,X7),vf(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
    inference(split_conjunct,[status(thm)],['holds(351, 1305, 0)']) ).

cnf(c_0_24,plain,
    vd1287 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,plain,
    vd1299 = vd1300,
    inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).

cnf(c_0_26,plain,
    rpoint(vd1303),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_27,plain,
    vd1302 = vd1303,
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

fof(c_0_28,plain,
    ! [X388,X389,X390,X391,X392,X393,X394,X395] :
      ( ~ rR(X389,X388,X391)
      | ~ rR(X389,X388,X390)
      | X391 != X392
      | ~ rpoint(X392)
      | X390 != X393
      | ~ rpoint(X393)
      | X389 != X394
      | ~ rpoint(X394)
      | X388 != X395
      | ~ rpoint(X395)
      | ~ rR(X389,X390,X391) ),
    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(93), 0), imp(cond(axiom(93), 0)))'])])])])])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ rpoint(X1)
    | ~ rR(X1,vd1287,vd1302)
    | vf(vd1287,vd1299) != vf(vd1287,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_30,plain,
    ( vf(X1,esk3_0) = vf(esk3_0,X1)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_31,plain,
    rpoint(vd1300),
    inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).

cnf(c_0_32,plain,
    ( rR(vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8),X1,X3)
    | X1 = X3
    | X5 = X7
    | ~ rpoint(X2)
    | X1 != X2
    | ~ rpoint(X4)
    | X3 != X4
    | ~ rpoint(X6)
    | X5 != X6
    | ~ rpoint(X8)
    | X7 != X8
    | ~ rless(vf(X5,X7),vf(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_33,plain,
    ( rpoint(vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8))
    | X1 = X3
    | X5 = X7
    | ~ rpoint(X2)
    | X1 != X2
    | ~ rpoint(X4)
    | X3 != X4
    | ~ rpoint(X6)
    | X5 != X6
    | ~ rpoint(X8)
    | X7 != X8
    | ~ rless(vf(X5,X7),vf(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_34,plain,
    ( vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4)
    | X3 = X4
    | X1 = X2
    | ~ rless(vf(X3,X4),vf(X1,X2))
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])])])]) ).

cnf(c_0_35,plain,
    rless(vf(esk3_0,vd1300),vf(esk3_0,vd1302)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_24]) ).

cnf(c_0_36,plain,
    rpoint(vd1302),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_37,plain,
    ( ~ rR(X1,X2,X3)
    | ~ rpoint(X4)
    | X5 != X4
    | ~ rpoint(X6)
    | X1 != X6
    | ~ rpoint(X7)
    | X2 != X7
    | ~ rpoint(X8)
    | X3 != X8
    | ~ rR(X1,X5,X2)
    | ~ rR(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    rR(vd1288,vd1287,vd1299),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_39,plain,
    vd1288 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_40,plain,
    ! [X169,X170,X171,X172,X173,X174] :
      ( ( ~ rR(X169,X170,X171)
        | ~ rR(X170,X169,X171)
        | X171 != X172
        | ~ rpoint(X172)
        | X170 != X173
        | ~ rpoint(X173)
        | X169 != X174
        | ~ rpoint(X174) )
      & ( X169 != X171
        | ~ rR(X170,X169,X171)
        | X171 != X172
        | ~ rpoint(X172)
        | X170 != X173
        | ~ rpoint(X173)
        | X169 != X174
        | ~ rpoint(X174) )
      & ( X169 != X170
        | ~ rR(X170,X169,X171)
        | X171 != X172
        | ~ rpoint(X172)
        | X170 != X173
        | ~ rpoint(X173)
        | X169 != X174
        | ~ rpoint(X174) )
      & ( rR(X170,X171,X169)
        | ~ rR(X170,X169,X171)
        | X171 != X172
        | ~ rpoint(X172)
        | X170 != X173
        | ~ rpoint(X173)
        | X169 != X174
        | ~ rpoint(X174) ) ),
    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(81), 0), imp(cond(axiom(81), 0)))'])])])])])])]) ).

cnf(c_0_41,negated_conjecture,
    ( vf(esk3_0,vd1300) != vf(esk3_0,X1)
    | ~ rpoint(X1)
    | ~ rR(X1,esk3_0,vd1302) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_24]),c_0_25]),c_0_24]),c_0_24]) ).

cnf(c_0_42,plain,
    vf(esk3_0,vd1300) = vf(vd1300,esk3_0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_43,plain,
    ( X1 = X2
    | X3 = X4
    | rR(vskolem1120(X3,X3,X4,X4,X1,X1,X2,X2),X3,X4)
    | ~ rless(vf(X1,X2),vf(X3,X4))
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])])])]) ).

cnf(c_0_44,plain,
    ( X1 = X2
    | X3 = X4
    | rpoint(vskolem1120(X3,X3,X4,X4,X1,X1,X2,X2))
    | ~ rless(vf(X1,X2),vf(X3,X4))
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])])])]) ).

cnf(c_0_45,plain,
    ( vf(esk3_0,vskolem1120(esk3_0,esk3_0,vd1302,vd1302,esk3_0,esk3_0,vd1300,vd1300)) = vf(esk3_0,vd1300)
    | esk3_0 = vd1302
    | esk3_0 = vd1300 ),
    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_31]),c_0_19]),c_0_36])]) ).

cnf(c_0_46,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rR(X3,X4,X1)
    | ~ rR(X3,X4,X2)
    | ~ rR(X3,X2,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])])]) ).

cnf(c_0_47,plain,
    rR(esk2_0,esk3_0,vd1300),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_24]),c_0_25]) ).

cnf(c_0_48,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_49,plain,
    rR(vd1289,vd1287,vd1302),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_50,plain,
    vd1289 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_51,plain,
    ( rR(X4,X6,X2)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rR(X4,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_52,negated_conjecture,
    ( vf(esk3_0,X1) != vf(vd1300,esk3_0)
    | ~ rpoint(X1)
    | ~ rR(X1,esk3_0,vd1302) ),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_53,plain,
    ( esk3_0 = vd1302
    | esk3_0 = vd1300
    | rR(vskolem1120(esk3_0,esk3_0,vd1302,vd1302,esk3_0,esk3_0,vd1300,vd1300),esk3_0,vd1302) ),
    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_35]),c_0_31]),c_0_19]),c_0_36])]) ).

cnf(c_0_54,plain,
    ( esk3_0 = vd1302
    | esk3_0 = vd1300
    | rpoint(vskolem1120(esk3_0,esk3_0,vd1302,vd1302,esk3_0,esk3_0,vd1300,vd1300)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_31]),c_0_19]),c_0_36])]) ).

cnf(c_0_55,plain,
    ( vf(esk3_0,vskolem1120(esk3_0,esk3_0,vd1302,vd1302,esk3_0,esk3_0,vd1300,vd1300)) = vf(vd1300,esk3_0)
    | esk3_0 = vd1300
    | esk3_0 = vd1302 ),
    inference(rw,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_56,plain,
    ( ~ rpoint(X1)
    | ~ rR(esk2_0,esk3_0,X1)
    | ~ rR(esk2_0,X1,vd1300) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_31]),c_0_48]),c_0_19])]) ).

cnf(c_0_57,plain,
    rR(esk1_0,esk3_0,vd1302),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_24]) ).

cnf(c_0_58,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_59,plain,
    ( rR(X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rR(X1,X3,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_51])])]) ).

cnf(c_0_60,negated_conjecture,
    ( esk3_0 = vd1300
    | esk3_0 = vd1302 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_61,plain,
    ~ rR(esk2_0,vd1300,vd1300),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_47]),c_0_31])]) ).

cnf(c_0_62,plain,
    ( ~ rpoint(X1)
    | ~ rR(esk1_0,esk3_0,X1)
    | ~ rR(esk1_0,X1,vd1302) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_57]),c_0_36]),c_0_58]),c_0_19])]) ).

cnf(c_0_63,plain,
    rR(esk1_0,vd1302,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_36]),c_0_58]),c_0_19])]) ).

cnf(c_0_64,negated_conjecture,
    esk3_0 = vd1302,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_61]) ).

cnf(c_0_65,plain,
    ~ rR(esk1_0,vd1302,vd1302),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_36])]) ).

cnf(c_0_66,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_65]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO306+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n023.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 18:21:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.33/23.42  eprover: CPU time limit exceeded, terminating
% 0.33/23.42  eprover: CPU time limit exceeded, terminating
% 0.33/23.43  eprover: CPU time limit exceeded, terminating
% 0.33/23.44  eprover: CPU time limit exceeded, terminating
% 0.45/46.44  eprover: CPU time limit exceeded, terminating
% 0.45/46.44  eprover: CPU time limit exceeded, terminating
% 0.45/46.45  eprover: CPU time limit exceeded, terminating
% 0.45/46.47  eprover: CPU time limit exceeded, terminating
% 0.45/48.65  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.45/48.65  
% 0.45/48.65  # Failure: Resource limit exceeded (time)
% 0.45/48.65  # OLD status Res
% 0.45/48.65  # Preprocessing time       : 0.066 s
% 0.45/48.65  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.45/48.65  
% 0.45/48.65  # Failure: Resource limit exceeded (time)
% 0.45/48.65  # OLD status Res
% 0.45/48.65  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.45/48.65  # Preprocessing time       : 0.034 s
% 0.45/48.65  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.45/48.65  # Preprocessing time       : 0.033 s
% 0.45/48.65  
% 0.45/48.65  # Proof found!
% 0.45/48.65  # SZS status Theorem
% 0.45/48.65  # SZS output start CNFRefutation
% See solution above
% 0.45/48.65  # Proof object total steps             : 67
% 0.45/48.65  # Proof object clause steps            : 46
% 0.45/48.65  # Proof object formula steps           : 21
% 0.45/48.65  # Proof object conjectures             : 8
% 0.45/48.65  # Proof object clause conjectures      : 5
% 0.45/48.65  # Proof object formula conjectures     : 3
% 0.45/48.65  # Proof object initial clauses used    : 20
% 0.45/48.65  # Proof object initial formulas used   : 12
% 0.45/48.65  # Proof object generating inferences   : 12
% 0.45/48.65  # Proof object simplifying inferences  : 69
% 0.45/48.65  # Training examples: 0 positive, 0 negative
% 0.45/48.65  # Parsed axioms                        : 127
% 0.45/48.65  # Removed by relevancy pruning/SinE    : 0
% 0.45/48.65  # Initial clauses                      : 294
% 0.45/48.65  # Removed in clause preprocessing      : 2
% 0.45/48.65  # Initial clauses in saturation        : 292
% 0.45/48.65  # Processed clauses                    : 4249
% 0.45/48.65  # ...of these trivial                  : 111
% 0.45/48.65  # ...subsumed                          : 70
% 0.45/48.65  # ...remaining for further processing  : 4068
% 0.45/48.65  # Other redundant clauses eliminated   : 1184
% 0.45/48.65  # Clauses deleted for lack of memory   : 0
% 0.45/48.65  # Backward-subsumed                    : 39
% 0.45/48.65  # Backward-rewritten                   : 1067
% 0.45/48.65  # Generated clauses                    : 131929
% 0.45/48.65  # ...of the previous two non-trivial   : 131843
% 0.45/48.65  # Contextual simplify-reflections      : 28
% 0.45/48.65  # Paramodulations                      : 131667
% 0.45/48.65  # Factorizations                       : 1
% 0.45/48.65  # Equation resolutions                 : 1193
% 0.45/48.65  # Current number of processed clauses  : 2710
% 0.45/48.65  #    Positive orientable unit clauses  : 1282
% 0.45/48.65  #    Positive unorientable unit clauses: 0
% 0.45/48.65  #    Negative unit clauses             : 7
% 0.45/48.65  #    Non-unit-clauses                  : 1421
% 0.45/48.65  # Current number of unprocessed clauses: 75142
% 0.45/48.65  # ...number of literals in the above   : 194993
% 0.45/48.65  # Current number of archived formulas  : 0
% 0.45/48.65  # Current number of archived clauses   : 1106
% 0.45/48.65  # Clause-clause subsumption calls (NU) : 688214
% 0.45/48.65  # Rec. Clause-clause subsumption calls : 213597
% 0.45/48.65  # Non-unit clause-clause subsumptions  : 109
% 0.45/48.65  # Unit Clause-clause subsumption calls : 164441
% 0.45/48.65  # Rewrite failures with RHS unbound    : 0
% 0.45/48.65  # BW rewrite match attempts            : 16232
% 0.45/48.65  # BW rewrite match successes           : 60
% 0.45/48.65  # Condensation attempts                : 0
% 0.45/48.65  # Condensation successes               : 0
% 0.45/48.65  # Termbank termtop insertions          : 4117430
% 0.45/48.65  
% 0.45/48.65  # -------------------------------------------------
% 0.45/48.65  # User time                : 1.187 s
% 0.45/48.65  # System time              : 0.056 s
% 0.45/48.65  # Total time               : 1.243 s
% 0.45/48.65  # Maximum resident set size: 117820 pages
% 0.45/69.46  eprover: CPU time limit exceeded, terminating
% 0.45/69.46  eprover: CPU time limit exceeded, terminating
% 0.45/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.48  eprover: No such file or directory
% 0.45/69.48  eprover: CPU time limit exceeded, terminating
% 0.45/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.48  eprover: No such file or directory
% 0.45/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.48  eprover: No such file or directory
% 0.45/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.49  eprover: No such file or directory
% 0.45/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.49  eprover: No such file or directory
% 0.45/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.49  eprover: No such file or directory
% 0.45/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.49  eprover: No such file or directory
% 0.45/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.50  eprover: No such file or directory
% 0.45/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.50  eprover: No such file or directory
% 0.45/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.50  eprover: No such file or directory
% 0.45/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.50  eprover: No such file or directory
% 0.45/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.50  eprover: No such file or directory
% 0.45/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.50  eprover: No such file or directory
% 0.45/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.51  eprover: No such file or directory
% 0.45/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.51  eprover: No such file or directory
% 0.45/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.51  eprover: No such file or directory
% 0.45/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.51  eprover: No such file or directory
% 0.45/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.51  eprover: No such file or directory
% 0.45/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.51  eprover: No such file or directory
% 0.45/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.52  eprover: No such file or directory
% 0.45/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.52  eprover: No such file or directory
% 0.45/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.52  eprover: No such file or directory
% 0.45/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.52  eprover: No such file or directory
% 0.45/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/69.52  eprover: No such file or directory
% 0.45/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.52  eprover: No such file or directory
% 0.45/69.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.53  eprover: No such file or directory
% 0.45/69.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/69.54  eprover: No such file or directory
%------------------------------------------------------------------------------