TSTP Solution File: GEO319+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO319+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 17:34:51 EDT 2023
% Result : Theorem 301.84s 39.00s
% Output : CNFRefutation 301.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of formulae : 204 ( 61 unt; 0 def)
% Number of atoms : 1015 ( 359 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 1420 ( 609 ~; 615 |; 169 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 505 ( 0 sgn; 193 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X64,X65] :
( ( ? [X66] :
( X65 = X66
& rpoint(X66) )
& ? [X67] :
( X64 = X67
& rpoint(X67) ) )
=> ? [X68] :
( vf(X64,X65) = X68
& rreal(X68) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X199,X200,X201] :
( ( rR(X200,X199,X201)
& ? [X202] :
( X201 = X202
& rpoint(X202) )
& ? [X203] :
( X200 = X203
& rpoint(X203) )
& ? [X204] :
( X199 = X204
& rpoint(X204) ) )
=> vplus(vf(X199,X200),vf(X200,X201)) = vf(X199,X201) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X60,X61] :
( ( ? [X62] :
( X61 = X62
& rpoint(X62) )
& ? [X63] :
( X60 = X63
& rpoint(X63) ) )
=> vf(X60,X61) = vf(X61,X60) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X69,X70] :
( ( X69 = X70
& rreal(X70) )
=> ~ rless(X69,X69) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X224,X225,X226,X227,X228,X229] :
( ( rless(X224,X226)
& X228 = X229
& rreal(X229)
& X226 = X227
& rreal(X227)
& X224 = X225
& rreal(X225) )
=> rless(vplus(X224,X228),vplus(X226,X228)) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X185,X186] :
( ( X185 = X186
& rreal(X186) )
=> vplus(X185,v0) = X185 ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X181,X182,X183,X184] :
( ( X183 = X184
& rreal(X184)
& X181 = X182
& rreal(X182) )
=> vplus(X181,X183) = vplus(X183,X181) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
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
& ? [X7] :
( vd1289 = X7
& rpoint(X7) )
& ? [X8] :
( vd1288 = X8
& rpoint(X8) )
& ? [X9] :
( vd1287 = X9
& rpoint(X9) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.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('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(axiom(137), 2)') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X146,X147] :
( ( X146 != X147
& ? [X148] :
( X147 = X148
& rpoint(X148) )
& ? [X149] :
( X146 = X149
& rpoint(X149) ) )
=> ? [X150] :
( ron(X147,X150)
& rcenter(X146,X150)
& rcircle(X150) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X1,X2,X3] :
( ( rR(X2,X1,X3)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) ) )
=> ( ~ rR(X1,X2,X3)
& X1 != X3
& X1 != X2
& rR(X2,X3,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X97,X98,X99,X100] :
( ( ron(X98,X100)
& rcenter(X99,X100)
& ? [X101] :
( X98 = X101
& rpoint(X101) )
& ? [X102] :
( X97 = X102
& rpoint(X102) ) )
=> ( rless(vf(X99,X97),vf(X99,X98))
<=> rinside(X97,X100) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X205,X206] :
( rcenter(X205,X206)
=> rinside(X205,X206) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('ass(cond(156, 0), 0)',axiom,
! [X171,X172,X173,X174,X175,X176] :
( ( vplus(X171,X175) = vplus(X173,X175)
& X175 = X176
& rreal(X176)
& X173 = X174
& rreal(X174)
& X171 = X172
& rreal(X172) )
=> X171 = X173 ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','ass(cond(156, 0), 0)') ).
fof('pred(348, 1)',axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(348, 1)') ).
fof('pred(348, 4)',axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(348, 4)') ).
fof('qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))',axiom,
! [X420,X421,X422,X423] :
( ( rR(X423,X420,X421)
& rR(X421,X420,X422)
& ? [X424] :
( X423 = X424
& rpoint(X424) )
& ? [X425] :
( X422 = X425
& rpoint(X425) )
& ? [X426] :
( X421 = X426
& rpoint(X426) )
& ? [X427] :
( X420 = X427
& rpoint(X427) ) )
=> rR(X423,X420,X422) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof('holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)',conjecture,
vd1329 != vd1302,
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)') ).
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/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('holds(conjunct1(367), 1330, 0)',axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','holds(conjunct1(367), 1330, 0)') ).
fof('pred(367, 0)',axiom,
rpoint(vd1329),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(367, 0)') ).
fof('qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))',axiom,
! [X10,X11,X12,X13,X14] :
( ( X13 = X14
& ron(X12,X13)
& ron(X10,X13)
& rR(X11,X10,X12)
& rline(X14)
& ? [X15] :
( X12 = X15
& rpoint(X15) )
& ? [X16] :
( X11 = X16
& rpoint(X16) )
& ? [X17] :
( X10 = X17
& rpoint(X17) ) )
=> ron(X11,X13) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X109,X110] :
( ( ? [X111] :
( X110 = X111
& rpoint(X111) )
& ? [X112] :
( X109 = X112
& rpoint(X112) ) )
=> ( vf(X109,X110) = v0
<=> X109 = X110 ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))',axiom,
! [X281,X282,X283,X284,X285] :
( ( rR(X283,X281,X282)
& ~ rinside(X283,X284)
& ( ron(X281,X284)
| rinside(X281,X284) )
& X284 = X285
& rcircle(X285)
& ? [X286] :
( X283 = X286
& rpoint(X286) )
& ? [X287] :
( X282 = X287
& rpoint(X287) )
& ? [X288] :
( X281 = X288
& rpoint(X288) ) )
=> ( ~ ron(X282,X284)
& ~ ron(X282,X284) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X187,X188,X189,X190,X191] :
( ( X190 = X191
& ron(X189,X190)
& ron(X188,X190)
& ron(X187,X190)
& rline(X191)
& X188 != X189
& X187 != X189
& X187 != X188
& ? [X192] :
( X189 = X192
& rpoint(X192) )
& ? [X193] :
( X188 = X193
& rpoint(X193) )
& ? [X194] :
( X187 = X194
& rpoint(X194) ) )
=> ( rR(X188,X187,X189)
| rR(X187,X188,X189)
| rR(X189,X187,X188) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))',axiom,
! [X77,X78,X79,X80] :
( ( rR(X79,X78,X80)
& rR(X78,X77,X79)
& ? [X81] :
( X80 = X81
& rpoint(X81) )
& ? [X82] :
( X79 = X82
& rpoint(X82) )
& ? [X83] :
( X78 = X83
& rpoint(X83) )
& ? [X84] :
( X77 = X84
& rpoint(X84) ) )
=> rR(X78,X77,X80) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof('qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))',axiom,
! [X127,X128,X129,X130] :
( ( rinside(X127,X129)
& X129 = X130
& rcircle(X130)
& X127 = X128
& rpoint(X128) )
=> ~ ron(X127,X129) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof('pred(conjunct1(368), 0)',axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(conjunct1(368), 0)') ).
fof('pred(s2(plural(346)), 0)',axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(s2(plural(346)), 0)') ).
fof('pred(346, 0)',axiom,
rline(vd1295),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(346, 0)') ).
fof('pred(s1(plural(346)), 0)',axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(s1(plural(346)), 0)') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X103,X104,X105,X106,X107,X108] :
( ( ron(X107,X106)
& X107 = X108
& rpoint(X108)
& rcenter(X105,X106)
& X103 = X104
& rpoint(X104) )
=> ( vf(X105,X103) = vf(X105,X107)
<=> ron(X103,X106) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('pred(conjunct1(349), 0)',axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p','pred(conjunct1(349), 0)') ).
fof(c_0_34,plain,
! [X866,X867,X868,X869] :
( ( vf(X866,X867) = esk8_2(X866,X867)
| X867 != X868
| ~ rpoint(X868)
| X866 != X869
| ~ rpoint(X869) )
& ( rreal(esk8_2(X866,X867))
| X867 != X868
| ~ rpoint(X868)
| X866 != X869
| ~ rpoint(X869) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).
fof(c_0_35,plain,
! [X1015,X1016,X1017,X1018,X1019,X1020] :
( ~ rR(X1016,X1015,X1017)
| X1017 != X1018
| ~ rpoint(X1018)
| X1016 != X1019
| ~ rpoint(X1019)
| X1015 != X1020
| ~ rpoint(X1020)
| vplus(vf(X1015,X1016),vf(X1016,X1017)) = vf(X1015,X1017) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])]) ).
fof(c_0_36,plain,
! [X862,X863,X864,X865] :
( X863 != X864
| ~ rpoint(X864)
| X862 != X865
| ~ rpoint(X865)
| vf(X862,X863) = vf(X863,X862) ),
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_37,plain,
! [X69,X70] :
( ( X69 = X70
& rreal(X70) )
=> ~ rless(X69,X69) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_38,plain,
! [X1040,X1041,X1042,X1043,X1044,X1045] :
( ~ rless(X1040,X1042)
| X1044 != X1045
| ~ rreal(X1045)
| X1042 != X1043
| ~ rreal(X1043)
| X1040 != X1041
| ~ rreal(X1041)
| rless(vplus(X1040,X1044),vplus(X1042,X1044)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
fof(c_0_39,plain,
! [X993,X994] :
( X993 != X994
| ~ rreal(X994)
| vplus(X993,v0) = X993 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
fof(c_0_40,plain,
! [X989,X990,X991,X992] :
( X991 != X992
| ~ rreal(X992)
| X989 != X990
| ~ rreal(X990)
| vplus(X989,X991) = vplus(X991,X989) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
cnf(c_0_41,plain,
( rreal(esk8_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( vf(X1,X2) = esk8_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( vplus(vf(X2,X1),vf(X1,X3)) = vf(X2,X3)
| ~ rR(X1,X2,X3)
| X3 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,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(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_46,plain,
! [X871,X872] :
( X871 != X872
| ~ rreal(X872)
| ~ rless(X871,X871) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
cnf(c_0_47,plain,
( rless(vplus(X1,X3),vplus(X2,X3))
| ~ rless(X1,X2)
| X3 != X4
| ~ rreal(X4)
| X2 != X5
| ~ rreal(X5)
| X1 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_50,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
fof(c_0_51,plain,
! [X948,X949,X950,X951] :
( ( ron(X949,esk12_2(X948,X949))
| X948 = X949
| X949 != X950
| ~ rpoint(X950)
| X948 != X951
| ~ rpoint(X951) )
& ( rcenter(X948,esk12_2(X948,X949))
| X948 = X949
| X949 != X950
| ~ rpoint(X950)
| X948 != X951
| ~ rpoint(X951) )
& ( rcircle(esk12_2(X948,X949))
| X948 = X949
| X949 != X950
| ~ rpoint(X950)
| X948 != X951
| ~ rpoint(X951) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))'])])])])]) ).
cnf(c_0_52,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
( rreal(esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_41])]) ).
cnf(c_0_54,plain,
( esk8_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])]) ).
cnf(c_0_55,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])])]) ).
cnf(c_0_56,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_44])]) ).
cnf(c_0_57,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,plain,
vd1288 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,plain,
vd1287 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_61,plain,
! [X1,X2,X3] :
( ( rR(X2,X1,X3)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) ) )
=> ( ~ rR(X1,X2,X3)
& X1 != X3
& X1 != X2
& rR(X2,X3,X1) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
cnf(c_0_62,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_63,plain,
( rless(vplus(X1,X2),vplus(X3,X2))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_47])])]) ).
cnf(c_0_64,plain,
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_65,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_66,plain,
! [X899,X900,X901,X902,X903,X904] :
( ( ~ rless(vf(X901,X899),vf(X901,X900))
| rinside(X899,X902)
| ~ ron(X900,X902)
| ~ rcenter(X901,X902)
| X900 != X903
| ~ rpoint(X903)
| X899 != X904
| ~ rpoint(X904) )
& ( ~ rinside(X899,X902)
| rless(vf(X901,X899),vf(X901,X900))
| ~ ron(X900,X902)
| ~ rcenter(X901,X902)
| X900 != X903
| ~ rpoint(X903)
| X899 != X904
| ~ rpoint(X904) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).
fof(c_0_67,plain,
! [X1021,X1022] :
( ~ rcenter(X1021,X1022)
| rinside(X1021,X1022) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_68,plain,
( rcenter(X1,esk12_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_69,plain,
! [X979,X980,X981,X982,X983,X984] :
( vplus(X979,X983) != vplus(X981,X983)
| X983 != X984
| ~ rreal(X984)
| X981 != X982
| ~ rreal(X982)
| X979 != X980
| ~ rreal(X980)
| X979 = X981 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).
cnf(c_0_70,plain,
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])]) ).
cnf(c_0_71,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_72,plain,
( vplus(vf(X1,X2),vf(X3,X2)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_73,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_74,plain,
rpoint(vd1288),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_75,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_76,plain,
! [X761,X762,X763,X764,X765,X766] :
( ( ~ rR(X761,X762,X763)
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) )
& ( X761 != X763
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) )
& ( X761 != X762
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) )
& ( rR(X762,X763,X761)
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_77,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_78,plain,
( rless(X1,vplus(X2,v0))
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_79,plain,
( rless(vf(X3,X1),vf(X3,X4))
| ~ rinside(X1,X2)
| ~ ron(X4,X2)
| ~ rcenter(X3,X2)
| X4 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_80,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
( X1 = X2
| rcenter(X1,esk12_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_68])]) ).
cnf(c_0_82,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2)
| X2 != X4
| ~ rreal(X4)
| X3 != X5
| ~ rreal(X5)
| X1 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_83,plain,
( vplus(vf(X1,X2),vf(X3,X1)) = vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_55]),c_0_71]),c_0_71]) ).
cnf(c_0_84,plain,
( vplus(vf(X1,vd1288),vf(vd1287,vd1289)) = vf(X1,vd1287)
| ~ rpoint(X1)
| ~ rR(vd1288,X1,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_85,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| X2 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,plain,
rpoint(vd1300),
inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).
cnf(c_0_87,plain,
vd1299 = vd1300,
inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).
fof(c_0_88,plain,
! [X1236,X1237,X1238,X1239,X1240,X1241,X1242,X1243] :
( ~ rR(X1239,X1236,X1237)
| ~ rR(X1237,X1236,X1238)
| X1239 != X1240
| ~ rpoint(X1240)
| X1238 != X1241
| ~ rpoint(X1241)
| X1237 != X1242
| ~ rpoint(X1242)
| X1236 != X1243
| ~ rpoint(X1243)
| rR(X1239,X1236,X1238) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))'])])]) ).
fof(c_0_89,negated_conjecture,
vd1329 = vd1302,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)'])]) ).
cnf(c_0_90,plain,
( ~ rreal(vplus(X1,v0))
| ~ rreal(X1)
| ~ rless(vplus(X1,v0),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_91,plain,
( rless(vplus(X1,X2),vplus(X2,X3))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_70]) ).
cnf(c_0_92,plain,
( vplus(vf(vd1287,vd1289),vf(vd1288,X1)) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_73]),c_0_75]),c_0_74])]) ).
cnf(c_0_93,plain,
rreal(vf(vd1287,vd1289)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_73]),c_0_75]),c_0_74])]) ).
cnf(c_0_94,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_95,plain,
vd1289 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_96,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rinside(X2,X4)
| ~ rcenter(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_79])]) ).
cnf(c_0_97,plain,
( X1 = X2
| rinside(X1,esk12_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_98,plain,
( X1 = X2
| vplus(X1,X3) != vplus(X2,X3)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_82])])]) ).
cnf(c_0_99,plain,
( vplus(vf(vd1288,X1),vf(vd1287,vd1289)) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_73]),c_0_75]),c_0_74])]) ).
cnf(c_0_100,plain,
( vplus(vf(vd1288,X1),vf(vd1287,vd1289)) = vf(X1,vd1287)
| ~ rpoint(X1)
| ~ rR(vd1288,X1,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_56]),c_0_74])]) ).
cnf(c_0_101,plain,
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_85])])]) ).
cnf(c_0_102,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_103,plain,
rpoint(vd1299),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_104,plain,
( rR(X1,X2,X4)
| ~ rR(X1,X2,X3)
| ~ rR(X3,X2,X4)
| X1 != X5
| ~ rpoint(X5)
| X4 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X2 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_105,plain,
rR(vd1329,vd1287,vd1299),
inference(split_conjunct,[status(thm)],['holds(conjunct1(367), 1330, 0)']) ).
cnf(c_0_106,negated_conjecture,
vd1329 = vd1302,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_107,plain,
rpoint(vd1329),
inference(split_conjunct,[status(thm)],['pred(367, 0)']) ).
fof(c_0_108,plain,
! [X770,X771,X772,X773,X774,X775,X776,X777] :
( X773 != X774
| ~ ron(X772,X773)
| ~ ron(X770,X773)
| ~ rR(X771,X770,X772)
| ~ rline(X774)
| X772 != X775
| ~ rpoint(X775)
| X771 != X776
| ~ rpoint(X776)
| X770 != X777
| ~ rpoint(X777)
| ron(X771,X773) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))'])])]) ).
cnf(c_0_109,plain,
( ~ rreal(vplus(v0,X1))
| ~ rreal(X1)
| ~ rless(vplus(v0,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_70]),c_0_65])]) ).
cnf(c_0_110,plain,
( rless(vplus(X1,vf(vd1287,vd1289)),vf(vd1287,X2))
| ~ rreal(vf(vd1288,X2))
| ~ rreal(X1)
| ~ rless(X1,vf(vd1288,X2))
| ~ rpoint(X2)
| ~ rR(vd1288,vd1287,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_111,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_112,plain,
( X1 = X2
| rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,esk12_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ ron(X4,esk12_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_113,plain,
( ron(X1,esk12_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_114,plain,
! [X911,X912,X913,X914] :
( ( vf(X911,X912) != v0
| X911 = X912
| X912 != X913
| ~ rpoint(X913)
| X911 != X914
| ~ rpoint(X914) )
& ( X911 != X912
| vf(X911,X912) = v0
| X912 != X913
| ~ rpoint(X913)
| X911 != X914
| ~ rpoint(X914) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])]) ).
cnf(c_0_115,plain,
( vf(X1,X2) = X3
| vf(X1,X4) != vplus(X3,vf(X2,X4))
| ~ rreal(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rR(X2,X1,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_55]),c_0_71]),c_0_71]) ).
cnf(c_0_116,plain,
( vplus(vf(X1,X2),vf(X1,X3)) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rR(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_117,plain,
( vf(X1,vd1287) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1287,X1)
| ~ rR(vd1288,X1,vd1287) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_118,plain,
rR(vd1288,vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_75]),c_0_74]),c_0_103])]) ).
cnf(c_0_119,plain,
( rR(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rR(X4,X2,X3)
| ~ rR(X1,X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_104])])])]) ).
cnf(c_0_120,plain,
rR(vd1302,vd1287,vd1299),
inference(rw,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_121,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_107,c_0_106]) ).
fof(c_0_122,plain,
! [X281,X282,X283,X284,X285] :
( ( rR(X283,X281,X282)
& ~ rinside(X283,X284)
& ( ron(X281,X284)
| rinside(X281,X284) )
& X284 = X285
& rcircle(X285)
& ? [X286] :
( X283 = X286
& rpoint(X286) )
& ? [X287] :
( X282 = X287
& rpoint(X287) )
& ? [X288] :
( X281 = X288
& rpoint(X288) ) )
=> ~ ron(X282,X284) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))']) ).
fof(c_0_123,plain,
! [X995,X996,X997,X998,X999,X1000,X1001,X1002] :
( X998 != X999
| ~ ron(X997,X998)
| ~ ron(X996,X998)
| ~ ron(X995,X998)
| ~ rline(X999)
| X996 = X997
| X995 = X997
| X995 = X996
| X997 != X1000
| ~ rpoint(X1000)
| X996 != X1001
| ~ rpoint(X1001)
| X995 != X1002
| ~ rpoint(X1002)
| rR(X996,X995,X997)
| rR(X995,X996,X997)
| rR(X997,X995,X996) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))'])])]) ).
cnf(c_0_124,plain,
( ron(X5,X1)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X5,X4,X3)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_125,plain,
( ~ rreal(vplus(v0,vf(vd1287,vd1289)))
| ~ rreal(vf(vd1288,vd1289))
| ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_93]),c_0_65]),c_0_111])]) ).
cnf(c_0_126,plain,
( vplus(v0,X1) = X1
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_65])]) ).
cnf(c_0_127,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ ron(X3,esk12_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_112,c_0_81]) ).
cnf(c_0_128,plain,
( X1 = X2
| ron(X1,esk12_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_113])]) ).
cnf(c_0_129,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
fof(c_0_130,plain,
! [X879,X880,X881,X882,X883,X884,X885,X886] :
( ~ rR(X881,X880,X882)
| ~ rR(X880,X879,X881)
| X882 != X883
| ~ rpoint(X883)
| X881 != X884
| ~ rpoint(X884)
| X880 != X885
| ~ rpoint(X885)
| X879 != X886
| ~ rpoint(X886)
| rR(X880,X879,X882) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))'])])]) ).
cnf(c_0_131,plain,
( vf(X1,X2) = vf(X2,X3)
| vf(X1,X4) != vf(X3,X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X2,X1,X4)
| ~ rR(X2,X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_71]) ).
cnf(c_0_132,plain,
vf(vd1299,vd1287) = vf(vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_102]),c_0_103]),c_0_118])]) ).
cnf(c_0_133,plain,
( rR(X1,vd1287,vd1299)
| ~ rpoint(X1)
| ~ rR(X1,vd1287,vd1302) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_75]),c_0_121]),c_0_103])]) ).
cnf(c_0_134,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))))']) ).
fof(c_0_135,plain,
! [X127,X128,X129,X130] :
( ( rinside(X127,X129)
& X129 = X130
& rcircle(X130)
& X127 = X128
& rpoint(X128) )
=> ~ ron(X127,X129) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))']) ).
fof(c_0_136,plain,
! [X1097,X1098,X1099,X1100,X1101,X1102,X1103,X1104] :
( ( ~ ron(X1097,X1100)
| ~ rR(X1099,X1097,X1098)
| rinside(X1099,X1100)
| X1100 != X1101
| ~ rcircle(X1101)
| X1099 != X1102
| ~ rpoint(X1102)
| X1098 != X1103
| ~ rpoint(X1103)
| X1097 != X1104
| ~ rpoint(X1104)
| ~ ron(X1098,X1100) )
& ( ~ rinside(X1097,X1100)
| ~ rR(X1099,X1097,X1098)
| rinside(X1099,X1100)
| X1100 != X1101
| ~ rcircle(X1101)
| X1099 != X1102
| ~ rpoint(X1102)
| X1098 != X1103
| ~ rpoint(X1103)
| X1097 != X1104
| ~ rpoint(X1104)
| ~ ron(X1098,X1100) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])])]) ).
cnf(c_0_137,plain,
( X4 = X3
| X5 = X3
| X5 = X4
| rR(X4,X5,X3)
| rR(X5,X4,X3)
| rR(X3,X5,X4)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ ron(X5,X1)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_138,plain,
( ron(X1,X2)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rR(X1,X3,X4)
| ~ ron(X3,X2)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_124])])])]) ).
cnf(c_0_139,plain,
ron(vd1329,vd1295),
inference(split_conjunct,[status(thm)],['pred(conjunct1(368), 0)']) ).
cnf(c_0_140,plain,
( ~ rreal(vf(vd1288,vd1289))
| ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_93])]) ).
cnf(c_0_141,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_142,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_129])])]) ).
cnf(c_0_143,plain,
( rR(X2,X4,X3)
| ~ rR(X1,X2,X3)
| ~ rR(X2,X4,X1)
| X3 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_144,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X2,X3)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_70]) ).
cnf(c_0_145,plain,
( vf(vd1288,X1) = vf(vd1299,vd1288)
| vf(vd1287,vd1299) != vf(X1,vd1287)
| ~ rpoint(X1)
| ~ rR(vd1288,X1,vd1287) ),
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_131,c_0_118]),c_0_132]),c_0_103]),c_0_74]),c_0_75])]) ).
cnf(c_0_146,plain,
rR(vd1289,vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_111])]) ).
fof(c_0_147,plain,
! [X929,X930,X931,X932] :
( ~ rinside(X929,X931)
| X931 != X932
| ~ rcircle(X932)
| X929 != X930
| ~ rpoint(X930)
| ~ ron(X929,X931) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_135])]) ).
cnf(c_0_148,plain,
( rinside(X3,X2)
| ~ rinside(X1,X2)
| ~ rR(X3,X1,X4)
| X2 != X5
| ~ rcircle(X5)
| X3 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| ~ ron(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_149,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_137])])])]) ).
cnf(c_0_150,plain,
ron(vd1288,vd1295),
inference(split_conjunct,[status(thm)],['pred(s2(plural(346)), 0)']) ).
cnf(c_0_151,plain,
rline(vd1295),
inference(split_conjunct,[status(thm)],['pred(346, 0)']) ).
cnf(c_0_152,plain,
( ron(vd1289,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1302,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_134]),c_0_75]),c_0_111]),c_0_121])]) ).
cnf(c_0_153,plain,
ron(vd1287,vd1295),
inference(split_conjunct,[status(thm)],['pred(s1(plural(346)), 0)']) ).
cnf(c_0_154,plain,
ron(vd1302,vd1295),
inference(rw,[status(thm)],[c_0_139,c_0_106]) ).
cnf(c_0_155,plain,
( ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_71]),c_0_74]),c_0_111])]) ).
cnf(c_0_156,plain,
( X1 = X2
| rless(v0,vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_157,plain,
vd1288 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_158,plain,
( rR(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X1,X2,X4)
| ~ rR(X4,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_143])])])]) ).
cnf(c_0_159,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(spm,[status(thm)],[c_0_144,c_0_70]) ).
cnf(c_0_160,plain,
vf(vd1288,vd1299) = vf(vd1299,vd1288),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_118]),c_0_132]),c_0_103])]) ).
cnf(c_0_161,plain,
rR(vd1289,vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_146]),c_0_75]),c_0_111]),c_0_103])]) ).
cnf(c_0_162,plain,
( ~ rinside(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rpoint(X4)
| ~ ron(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_163,plain,
( rinside(X1,X2)
| ~ rcircle(X2)
| ~ rinside(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rR(X1,X3,X4)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_148])])])]) ).
cnf(c_0_164,plain,
( X1 = vd1288
| X2 = vd1288
| X2 = X1
| rR(vd1288,X1,X2)
| rR(X1,vd1288,X2)
| rR(X2,vd1288,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_74])]) ).
cnf(c_0_165,plain,
ron(vd1289,vd1295),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_151]),c_0_153]),c_0_154])]) ).
cnf(c_0_166,plain,
~ rR(vd1288,vd1287,vd1289),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_74]),c_0_111])]),c_0_157]) ).
cnf(c_0_167,plain,
( rR(vd1288,vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1299,vd1288,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_102]),c_0_75]),c_0_74]),c_0_103])]) ).
cnf(c_0_168,plain,
( X1 = vf(X2,X3)
| vplus(vf(X4,X2),X1) != vf(X4,X3)
| ~ rreal(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X4,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_55]),c_0_71]),c_0_71]) ).
cnf(c_0_169,plain,
vplus(vf(vd1287,vd1289),vf(vd1299,vd1288)) = vf(vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_160]),c_0_103]),c_0_102])]) ).
cnf(c_0_170,plain,
rreal(vf(vd1299,vd1288)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_160]),c_0_74]),c_0_103])]) ).
cnf(c_0_171,plain,
( vf(vd1289,X1) = vf(vd1299,vd1289)
| vf(vd1287,vd1299) != vf(X1,vd1287)
| ~ rpoint(X1)
| ~ rR(vd1289,X1,vd1287) ),
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_131,c_0_161]),c_0_132]),c_0_103]),c_0_111]),c_0_75])]) ).
cnf(c_0_172,plain,
( ~ rcircle(X1)
| ~ rinside(X2,X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_162])]) ).
cnf(c_0_173,plain,
( rinside(vd1288,X1)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ ron(vd1299,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_102]),c_0_75]),c_0_103]),c_0_74])]) ).
fof(c_0_174,plain,
! [X905,X906,X907,X908,X909,X910] :
( ( vf(X907,X905) != vf(X907,X909)
| ron(X905,X908)
| ~ ron(X909,X908)
| X909 != X910
| ~ rpoint(X910)
| ~ rcenter(X907,X908)
| X905 != X906
| ~ rpoint(X906) )
& ( ~ ron(X905,X908)
| vf(X907,X905) = vf(X907,X909)
| ~ ron(X909,X908)
| X909 != X910
| ~ rpoint(X910)
| ~ rcenter(X907,X908)
| X905 != X906
| ~ rpoint(X906) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))'])])]) ).
cnf(c_0_175,plain,
( v0 = X1
| vplus(X1,X2) != X2
| ~ rreal(X1)
| ~ rreal(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_126]),c_0_65])]) ).
cnf(c_0_176,plain,
( X1 = vd1289
| X1 = vd1288
| rR(X1,vd1288,vd1289)
| rR(vd1289,vd1288,X1)
| rR(vd1288,vd1289,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1295) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_111])]),c_0_157]) ).
cnf(c_0_177,plain,
ron(vd1299,vd1295),
inference(split_conjunct,[status(thm)],['pred(conjunct1(349), 0)']) ).
cnf(c_0_178,plain,
~ rR(vd1299,vd1288,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_111])]) ).
cnf(c_0_179,plain,
( vf(vd1289,X1) = vf(vd1299,vd1288)
| vf(vd1287,vd1299) != vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1289,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_75]),c_0_111])]) ).
cnf(c_0_180,plain,
vf(vd1289,vd1299) = vf(vd1299,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_161]),c_0_132]),c_0_103])]) ).
cnf(c_0_181,plain,
( ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ ron(vd1288,X1)
| ~ ron(vd1299,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_74])]) ).
cnf(c_0_182,plain,
( rcircle(esk12_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_183,plain,
( ron(X2,X4)
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| X3 != X5
| ~ rpoint(X5)
| ~ rcenter(X1,X4)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_184,plain,
( vf(X1,X2) = v0
| vf(X1,X3) != vf(X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_55]),c_0_71]),c_0_71]) ).
cnf(c_0_185,plain,
( vd1288 = vd1299
| vd1289 = vd1299
| rR(vd1288,vd1289,vd1299)
| rR(vd1289,vd1288,vd1299) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_103])]),c_0_178]) ).
cnf(c_0_186,plain,
vf(vd1299,vd1288) = vf(vd1299,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_146]),c_0_180]),c_0_103])]) ).
cnf(c_0_187,plain,
( vd1287 = X1
| ~ rcircle(esk12_2(vd1287,X1))
| ~ rpoint(X1)
| ~ ron(vd1288,esk12_2(vd1287,X1))
| ~ ron(vd1299,esk12_2(vd1287,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_97]),c_0_75])]) ).
cnf(c_0_188,plain,
( X1 = X2
| rcircle(esk12_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_182])]) ).
cnf(c_0_189,plain,
( ron(X1,X2)
| vf(X3,X1) != vf(X3,X4)
| ~ rcenter(X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_183])]) ).
cnf(c_0_190,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_191,plain,
( vf(X1,X2) = v0
| vf(X2,X3) != vf(X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rR(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_116]),c_0_71]),c_0_71]) ).
cnf(c_0_192,plain,
( vf(vd1289,vd1288) = v0
| vd1289 = vd1299
| vd1288 = vd1299
| rR(vd1289,vd1288,vd1299) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_180]),c_0_160]),c_0_186]),c_0_111]),c_0_74]),c_0_103])]) ).
cnf(c_0_193,plain,
( vd1287 = X1
| ~ rpoint(X1)
| ~ ron(vd1288,esk12_2(vd1287,X1))
| ~ ron(vd1299,esk12_2(vd1287,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_75])]) ).
cnf(c_0_194,plain,
vd1287 != vd1288,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_195,plain,
( X1 = X2
| ron(X3,esk12_2(X1,X2))
| vf(X1,X3) != vf(X1,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X4,esk12_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_189,c_0_81]) ).
cnf(c_0_196,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_190])]) ).
cnf(c_0_197,plain,
( vf(vd1289,vd1288) = v0
| vd1288 = vd1299
| vd1289 = vd1299 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_160]),c_0_186]),c_0_180]),c_0_74]),c_0_111]),c_0_103])]) ).
cnf(c_0_198,plain,
~ ron(vd1299,esk12_2(vd1287,vd1288)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_128]),c_0_74]),c_0_75])]),c_0_194]) ).
cnf(c_0_199,plain,
( X1 = X2
| ron(X3,esk12_2(X1,X2))
| vf(X1,X3) != vf(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_128]) ).
cnf(c_0_200,plain,
( vd1289 = vd1299
| vd1288 = vd1299 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_111]),c_0_74])]),c_0_157]) ).
cnf(c_0_201,plain,
vf(vd1287,vd1289) != vf(vd1287,vd1299),
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_198,c_0_199]),c_0_73]),c_0_103]),c_0_74]),c_0_75])]),c_0_194]) ).
cnf(c_0_202,plain,
vd1289 = vd1299,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_200]),c_0_201]) ).
cnf(c_0_203,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_202]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO319+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Oct 3 06:45:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.48 Running first-order model finding
% 0.18/0.48 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.IMGeOk9sH8/E---3.1_13641.p
% 301.84/39.00 # Version: 3.1pre001
% 301.84/39.00 # Preprocessing class: FSLSSMSMSSSNFFN.
% 301.84/39.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 301.84/39.00 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 301.84/39.00 # Starting new_bool_3 with 300s (1) cores
% 301.84/39.00 # Starting new_bool_1 with 300s (1) cores
% 301.84/39.00 # Starting sh5l with 300s (1) cores
% 301.84/39.00 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13718 completed with status 0
% 301.84/39.00 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 301.84/39.00 # Preprocessing class: FSLSSMSMSSSNFFN.
% 301.84/39.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 301.84/39.00 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 301.84/39.00 # No SInE strategy applied
% 301.84/39.00 # Search class: FGHSF-FSLM33-SFFFFFNN
% 301.84/39.00 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 301.84/39.00 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 301.84/39.00 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 301.84/39.00 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 301.84/39.00 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 301.84/39.00 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 301.84/39.00 # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 13727 completed with status 0
% 301.84/39.00 # Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 301.84/39.00 # Preprocessing class: FSLSSMSMSSSNFFN.
% 301.84/39.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 301.84/39.00 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 301.84/39.00 # No SInE strategy applied
% 301.84/39.00 # Search class: FGHSF-FSLM33-SFFFFFNN
% 301.84/39.00 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 301.84/39.00 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 301.84/39.00 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 301.84/39.00 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 301.84/39.00 # Preprocessing time : 0.017 s
% 301.84/39.00 # Presaturation interreduction done
% 301.84/39.00
% 301.84/39.00 # Proof found!
% 301.84/39.00 # SZS status Theorem
% 301.84/39.00 # SZS output start CNFRefutation
% See solution above
% 301.84/39.00 # Parsed axioms : 163
% 301.84/39.00 # Removed by relevancy pruning/SinE : 0
% 301.84/39.00 # Initial clauses : 330
% 301.84/39.00 # Removed in clause preprocessing : 2
% 301.84/39.00 # Initial clauses in saturation : 328
% 301.84/39.00 # Processed clauses : 96362
% 301.84/39.00 # ...of these trivial : 239
% 301.84/39.00 # ...subsumed : 77067
% 301.84/39.00 # ...remaining for further processing : 19056
% 301.84/39.00 # Other redundant clauses eliminated : 1194
% 301.84/39.00 # Clauses deleted for lack of memory : 0
% 301.84/39.00 # Backward-subsumed : 3724
% 301.84/39.00 # Backward-rewritten : 6283
% 301.84/39.00 # Generated clauses : 841901
% 301.84/39.00 # ...of the previous two non-redundant : 815514
% 301.84/39.00 # ...aggressively subsumed : 0
% 301.84/39.00 # Contextual simplify-reflections : 4011
% 301.84/39.00 # Paramodulations : 841534
% 301.84/39.00 # Factorizations : 6
% 301.84/39.00 # NegExts : 0
% 301.84/39.00 # Equation resolutions : 1293
% 301.84/39.00 # Total rewrite steps : 891071
% 301.84/39.00 # Propositional unsat checks : 0
% 301.84/39.00 # Propositional check models : 0
% 301.84/39.00 # Propositional check unsatisfiable : 0
% 301.84/39.00 # Propositional clauses : 0
% 301.84/39.00 # Propositional clauses after purity: 0
% 301.84/39.00 # Propositional unsat core size : 0
% 301.84/39.00 # Propositional preprocessing time : 0.000
% 301.84/39.00 # Propositional encoding time : 0.000
% 301.84/39.00 # Propositional solver time : 0.000
% 301.84/39.00 # Success case prop preproc time : 0.000
% 301.84/39.00 # Success case prop encoding time : 0.000
% 301.84/39.00 # Success case prop solver time : 0.000
% 301.84/39.00 # Current number of processed clauses : 8504
% 301.84/39.00 # Positive orientable unit clauses : 73
% 301.84/39.00 # Positive unorientable unit clauses: 0
% 301.84/39.00 # Negative unit clauses : 51
% 301.84/39.00 # Non-unit-clauses : 8380
% 301.84/39.00 # Current number of unprocessed clauses: 700672
% 301.84/39.00 # ...number of literals in the above : 8695373
% 301.84/39.00 # Current number of archived formulas : 0
% 301.84/39.00 # Current number of archived clauses : 10300
% 301.84/39.00 # Clause-clause subsumption calls (NU) : 33017106
% 301.84/39.00 # Rec. Clause-clause subsumption calls : 881772
% 301.84/39.00 # Non-unit clause-clause subsumptions : 50410
% 301.84/39.00 # Unit Clause-clause subsumption calls : 54909
% 301.84/39.00 # Rewrite failures with RHS unbound : 0
% 301.84/39.00 # BW rewrite match attempts : 94
% 301.84/39.00 # BW rewrite match successes : 31
% 301.84/39.00 # Condensation attempts : 0
% 301.84/39.00 # Condensation successes : 0
% 301.84/39.00 # Termbank termtop insertions : 29137936
% 301.84/39.00
% 301.84/39.00 # -------------------------------------------------
% 301.84/39.00 # User time : 37.007 s
% 301.84/39.00 # System time : 0.579 s
% 301.84/39.00 # Total time : 37.587 s
% 301.84/39.00 # Maximum resident set size: 4584 pages
% 301.84/39.00
% 301.84/39.00 # -------------------------------------------------
% 301.84/39.00 # User time : 184.466 s
% 301.84/39.00 # System time : 3.473 s
% 301.84/39.00 # Total time : 187.938 s
% 301.84/39.00 # Maximum resident set size: 2572 pages
% 301.84/39.00 % E---3.1 exiting
%------------------------------------------------------------------------------