TSTP Solution File: GEO326+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO326+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 17:34:53 EDT 2023
% Result : Theorem 757.86s 98.37s
% Output : CNFRefutation 757.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 32
% Syntax : Number of formulae : 226 ( 90 unt; 0 def)
% Number of atoms : 948 ( 439 equ)
% Maximal formula atoms : 43 ( 4 avg)
% Number of connectives : 1217 ( 495 ~; 555 |; 144 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-3 aty)
% Number of variables : 391 ( 0 sgn; 153 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X39,X40,X41] :
( ( rR(X40,X39,X41)
& ? [X42] :
( X41 = X42
& rpoint(X42) )
& ? [X43] :
( X40 = X43
& rpoint(X43) )
& ? [X44] :
( X39 = X44
& rpoint(X44) ) )
=> ( ~ rR(X39,X40,X41)
& X39 != X41
& X39 != X40
& rR(X40,X41,X39) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 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
& ? [X28] :
( vd1289 = X28
& rpoint(X28) )
& ? [X29] :
( vd1288 = X29
& rpoint(X29) )
& ? [X30] :
( vd1287 = X30
& rpoint(X30) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.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('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X282,X283,X284] :
( ( rR(X283,X282,X284)
& ? [X285] :
( X284 = X285
& rpoint(X285) )
& ? [X286] :
( X283 = X286
& rpoint(X286) )
& ? [X287] :
( X282 = X287
& rpoint(X287) ) )
=> vplus(vf(X282,X283),vf(X283,X284)) = vf(X282,X284) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 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.wEbwniEiDD/E---3.1_11676.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('pred(348, 1)',axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(348, 1)') ).
fof('pred(348, 4)',axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(348, 4)') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X121,X122] :
( ( ? [X123] :
( X122 = X123
& rpoint(X123) )
& ? [X124] :
( X121 = X124
& rpoint(X124) ) )
=> ? [X125] :
( vf(X121,X122) = X125
& rreal(X125) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X113,X114] :
( ( ? [X115] :
( X114 = X115
& rpoint(X115) )
& ? [X116] :
( X113 = X116
& rpoint(X116) ) )
=> vf(X113,X114) = vf(X114,X113) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X260,X261,X262,X263] :
( ( X262 = X263
& rreal(X263)
& X260 = X261
& rreal(X261) )
=> vplus(X260,X262) = vplus(X262,X260) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('holds(conjunct1(367), 1330, 0)',axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','holds(conjunct1(367), 1330, 0)') ).
fof('pred(367, 0)',axiom,
rpoint(vd1329),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(367, 0)') ).
fof('holds(conjunct2(367), 1331, 0)',axiom,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','holds(conjunct2(367), 1331, 0)') ).
fof('ass(cond(156, 0), 0)',axiom,
! [X250,X251,X252,X253,X254,X255] :
( ( vplus(X250,X254) = vplus(X252,X254)
& X254 = X255
& rreal(X255)
& X252 = X253
& rreal(X253)
& X250 = X251
& rreal(X251) )
=> X250 = X252 ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','ass(cond(156, 0), 0)') ).
fof('qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))',axiom,
! [X105,X106,X107,X108,X109,X110,X111,X112] :
( ( ron(X107,X111)
& ron(X105,X111)
& X105 != X109
& X105 != X107
& X111 = X112
& rline(X112)
& X109 = X110
& rpoint(X110)
& X107 = X108
& rpoint(X108)
& X105 = X106
& rpoint(X106) )
=> ( ( ~ rR(X105,X107,X109)
& ron(X109,X111) )
<=> vangle(X107,X105,X109) = v0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X245,X246] :
( ( X245 != X246
& ? [X247] :
( X246 = X247
& rpoint(X247) )
& ? [X248] :
( X245 = X248
& rpoint(X248) ) )
=> ? [X249] :
( ron(X246,X249)
& rcenter(X245,X249)
& rcircle(X249) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X184,X185,X186,X187] :
( ( ron(X185,X187)
& rcenter(X186,X187)
& ? [X188] :
( X185 = X188
& rpoint(X188) )
& ? [X189] :
( X184 = X189
& rpoint(X189) ) )
=> ( rless(vf(X186,X184),vf(X186,X185))
<=> rinside(X184,X187) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X288,X289] :
( rcenter(X288,X289)
=> rinside(X288,X289) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('pred(conjunct1(368), 0)',axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(conjunct1(368), 0)') ).
fof('pred(346, 0)',axiom,
rline(vd1295),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(346, 0)') ).
fof('pred(s1(plural(346)), 0)',axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(s1(plural(346)), 0)') ).
fof('pred(s3(plural(370)), 0)',axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(s3(plural(370)), 0)') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X117,X118] :
( ( ? [X119] :
( X118 = X119
& rpoint(X119) )
& ? [X120] :
( X117 = X120
& rpoint(X120) ) )
=> ( vf(X117,X118) = v0
<=> X117 = X118 ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X266,X267,X268,X269,X270] :
( ( X269 = X270
& ron(X268,X269)
& ron(X267,X269)
& ron(X266,X269)
& rline(X270)
& X267 != X268
& X266 != X268
& X266 != X267
& ? [X271] :
( X268 = X271
& rpoint(X271) )
& ? [X272] :
( X267 = X272
& rpoint(X272) )
& ? [X273] :
( X266 = X273
& rpoint(X273) ) )
=> ( rR(X267,X266,X268)
| rR(X266,X267,X268)
| rR(X268,X266,X267) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X300,X301,X302,X303,X304,X305] :
( ( rless(X300,X302)
& X304 = X305
& rreal(X305)
& X302 = X303
& rreal(X303)
& X300 = X301
& rreal(X301) )
=> rless(vplus(X300,X304),vplus(X302,X304)) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X264,X265] :
( ( X264 = X265
& rreal(X265) )
=> vplus(X264,v0) = X264 ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('holds(377, 1347, 0)',conjecture,
vf(vd1288,vd1329) = vf(vd1289,vd1302),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','holds(377, 1347, 0)') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','pred(axiom(137), 2)') ).
fof('neg(neg(conjunct2(372)))',axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','neg(neg(conjunct2(372)))') ).
fof('qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))',axiom,
! [X256,X257,X258,X259] :
( ( rless(X256,X258)
& X258 = X259
& rreal(X259)
& X256 = X257
& rreal(X257) )
=> ( ~ rless(X258,X256)
| X256 = X258 ) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof('qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))',axiom,
! [X85,X86,X87] :
( ( X85 != X87
& X85 != X86
& ? [X88] :
( X87 = X88
& rpoint(X88) )
& ? [X89] :
( X86 = X89
& rpoint(X89) )
& ? [X90] :
( X85 = X90
& rpoint(X90) ) )
=> vangle(X85,X86,X87) = vangle(X87,X86,X85) ),
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof('holds(conjunct2(conjunct2(conjunct2(371))), 1332, 0)',axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox2/tmp/tmp.wEbwniEiDD/E---3.1_11676.p','holds(conjunct2(conjunct2(conjunct2(371))), 1332, 0)') ).
fof(c_0_32,plain,
! [X39,X40,X41] :
( ( rR(X40,X39,X41)
& ? [X42] :
( X41 = X42
& rpoint(X42) )
& ? [X43] :
( X40 = X43
& rpoint(X43) )
& ? [X44] :
( X39 = X44
& rpoint(X44) ) )
=> ( ~ rR(X39,X40,X41)
& X39 != X41
& X39 != X40
& rR(X40,X41,X39) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(c_0_33,plain,
! [X825,X826,X827,X828,X829,X830] :
( ( ~ rR(X825,X826,X827)
| ~ rR(X826,X825,X827)
| X827 != X828
| ~ rpoint(X828)
| X826 != X829
| ~ rpoint(X829)
| X825 != X830
| ~ rpoint(X830) )
& ( X825 != X827
| ~ rR(X826,X825,X827)
| X827 != X828
| ~ rpoint(X828)
| X826 != X829
| ~ rpoint(X829)
| X825 != X830
| ~ rpoint(X830) )
& ( X825 != X826
| ~ rR(X826,X825,X827)
| X827 != X828
| ~ rpoint(X828)
| X826 != X829
| ~ rpoint(X829)
| X825 != X830
| ~ rpoint(X830) )
& ( rR(X826,X827,X825)
| ~ rR(X826,X825,X827)
| X827 != X828
| ~ rpoint(X828)
| X826 != X829
| ~ rpoint(X829)
| X825 != X830
| ~ rpoint(X830) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_34,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = esk4_0
& rpoint(esk4_0)
& vd1288 = esk5_0
& rpoint(esk5_0)
& vd1287 = esk6_0
& rpoint(esk6_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_35,plain,
! [X1098,X1099,X1100,X1101,X1102,X1103] :
( ~ rR(X1099,X1098,X1100)
| X1100 != X1101
| ~ rpoint(X1101)
| X1099 != X1102
| ~ rpoint(X1102)
| X1098 != X1103
| ~ rpoint(X1103)
| vplus(vf(X1098,X1099),vf(X1099,X1100)) = vf(X1098,X1100) ),
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)))'])])]) ).
cnf(c_0_36,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_33]) ).
cnf(c_0_37,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_38,plain,
vd1288 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
vd1287 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
rpoint(vd1300),
inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).
cnf(c_0_42,plain,
vd1299 = vd1300,
inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).
fof(c_0_43,plain,
! [X937,X938,X939,X940] :
( ( vf(X937,X938) = esk7_2(X937,X938)
| X938 != X939
| ~ rpoint(X939)
| X937 != X940
| ~ rpoint(X940) )
& ( rreal(esk7_2(X937,X938))
| X938 != X939
| ~ rpoint(X939)
| X937 != X940
| ~ rpoint(X940) ) ),
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)))'])])])])]) ).
cnf(c_0_44,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_45,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_36])])]) ).
cnf(c_0_46,plain,
rR(esk5_0,vd1287,vd1299),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_49,plain,
rpoint(vd1299),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_50,plain,
! [X929,X930,X931,X932] :
( X930 != X931
| ~ rpoint(X931)
| X929 != X932
| ~ rpoint(X932)
| vf(X929,X930) = vf(X930,X929) ),
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)))'])])]) ).
cnf(c_0_51,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
vd1289 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_53,plain,
( rreal(esk7_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,plain,
( vf(X1,X2) = esk7_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_55,plain,
! [X1076,X1077,X1078,X1079] :
( X1078 != X1079
| ~ rreal(X1079)
| X1076 != X1077
| ~ rreal(X1077)
| vplus(X1076,X1078) = vplus(X1078,X1076) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
cnf(c_0_56,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_44])])]) ).
cnf(c_0_57,plain,
rR(esk5_0,vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_58,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,plain,
vf(vd1287,esk5_0) = vf(vd1287,esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_38]),c_0_52]) ).
cnf(c_0_60,plain,
( rreal(esk7_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_53])]) ).
cnf(c_0_61,plain,
( esk7_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])]) ).
cnf(c_0_62,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_63,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))))']) ).
cnf(c_0_64,plain,
rR(vd1329,vd1287,vd1299),
inference(split_conjunct,[status(thm)],['holds(conjunct1(367), 1330, 0)']) ).
cnf(c_0_65,plain,
rpoint(vd1329),
inference(split_conjunct,[status(thm)],['pred(367, 0)']) ).
cnf(c_0_66,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
vplus(vf(vd1299,esk5_0),vf(esk5_0,vd1287)) = vf(vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_49]),c_0_48]),c_0_47])]) ).
cnf(c_0_68,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])]) ).
cnf(c_0_69,plain,
vplus(vf(vd1287,esk4_0),vf(esk5_0,vd1299)) = vf(vd1287,vd1299),
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_56,c_0_46]),c_0_59]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_70,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,plain,
rR(esk4_0,vd1287,vd1303),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_52]),c_0_63]) ).
cnf(c_0_72,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_73,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_74,plain,
rR(vd1329,vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_64]),c_0_47]),c_0_65]),c_0_49])]) ).
cnf(c_0_75,plain,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
inference(split_conjunct,[status(thm)],['holds(conjunct2(367), 1331, 0)']) ).
cnf(c_0_76,plain,
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_66])]) ).
cnf(c_0_77,plain,
vplus(vf(vd1299,esk5_0),vf(vd1287,esk4_0)) = vf(vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_59]),c_0_47]),c_0_48])]) ).
cnf(c_0_78,plain,
vplus(vf(vd1287,esk4_0),vf(vd1299,esk5_0)) = vf(vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_49]),c_0_48])]) ).
cnf(c_0_79,plain,
rreal(vf(vd1287,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_59]),c_0_47]),c_0_48])]) ).
cnf(c_0_80,plain,
rR(esk4_0,vd1303,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_71]),c_0_47]),c_0_72]),c_0_73])]) ).
fof(c_0_81,plain,
! [X1066,X1067,X1068,X1069,X1070,X1071] :
( vplus(X1066,X1070) != vplus(X1068,X1070)
| X1070 != X1071
| ~ rreal(X1071)
| X1068 != X1069
| ~ rreal(X1069)
| X1066 != X1067
| ~ rreal(X1067)
| X1066 = X1068 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).
cnf(c_0_82,plain,
vplus(vf(vd1299,vd1329),vf(vd1329,vd1287)) = vf(vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_74]),c_0_49]),c_0_65]),c_0_47])]) ).
cnf(c_0_83,plain,
vf(vd1287,vd1329) = vf(vd1287,vd1303),
inference(rw,[status(thm)],[c_0_75,c_0_63]) ).
cnf(c_0_84,plain,
( vf(vd1299,vd1287) = vf(vd1287,vd1299)
| ~ rreal(vf(vd1299,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_85,plain,
vplus(vf(vd1303,esk4_0),vf(esk4_0,vd1287)) = vf(vd1303,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_80]),c_0_73]),c_0_72]),c_0_47])]) ).
cnf(c_0_86,plain,
vplus(vf(vd1287,esk4_0),vf(esk4_0,vd1303)) = vf(vd1287,vd1303),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_71]),c_0_47]),c_0_72]),c_0_73])]) ).
fof(c_0_87,plain,
! [X105,X106,X107,X108,X109,X110,X111,X112] :
( ( ron(X107,X111)
& ron(X105,X111)
& X105 != X109
& X105 != X107
& X111 = X112
& rline(X112)
& X109 = X110
& rpoint(X110)
& X107 = X108
& rpoint(X108)
& X105 = X106
& rpoint(X106) )
=> ( ( ~ rR(X105,X107,X109)
& ron(X109,X111) )
<=> vangle(X107,X105,X109) = v0 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).
cnf(c_0_88,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_81]) ).
cnf(c_0_89,plain,
vplus(vf(vd1299,vd1329),vf(vd1287,vd1303)) = vf(vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_68]),c_0_83]),c_0_47]),c_0_65])]) ).
cnf(c_0_90,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_84,c_0_70]),c_0_49]),c_0_48])]) ).
cnf(c_0_91,plain,
vplus(vf(vd1303,esk4_0),vf(vd1287,esk4_0)) = vf(vd1303,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_68]),c_0_47]),c_0_72])]) ).
cnf(c_0_92,plain,
vplus(vf(vd1287,esk4_0),vf(vd1303,esk4_0)) = vf(vd1287,vd1303),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_68]),c_0_73]),c_0_72])]) ).
fof(c_0_93,plain,
! [X921,X922,X923,X924,X925,X926,X927,X928] :
( ( rR(X921,X923,X925)
| ~ ron(X925,X927)
| vangle(X923,X921,X925) = v0
| ~ ron(X923,X927)
| ~ ron(X921,X927)
| X921 = X925
| X921 = X923
| X927 != X928
| ~ rline(X928)
| X925 != X926
| ~ rpoint(X926)
| X923 != X924
| ~ rpoint(X924)
| X921 != X922
| ~ rpoint(X922) )
& ( ~ rR(X921,X923,X925)
| vangle(X923,X921,X925) != v0
| ~ ron(X923,X927)
| ~ ron(X921,X927)
| X921 = X925
| X921 = X923
| X927 != X928
| ~ rline(X928)
| X925 != X926
| ~ rpoint(X926)
| X923 != X924
| ~ rpoint(X924)
| X921 != X922
| ~ rpoint(X922) )
& ( ron(X925,X927)
| vangle(X923,X921,X925) != v0
| ~ ron(X923,X927)
| ~ ron(X921,X927)
| X921 = X925
| X921 = X923
| X927 != X928
| ~ rline(X928)
| X925 != X926
| ~ rpoint(X926)
| X923 != X924
| ~ rpoint(X924)
| X921 != X922
| ~ rpoint(X922) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
cnf(c_0_94,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_88])])]) ).
cnf(c_0_95,plain,
vplus(vf(vd1299,vd1329),vf(vd1287,vd1303)) = vf(vd1287,vd1299),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
rreal(vf(vd1287,vd1303)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_83]),c_0_47]),c_0_65])]) ).
fof(c_0_97,plain,
! [X1061,X1062,X1063,X1064] :
( ( ron(X1062,esk15_2(X1061,X1062))
| X1061 = X1062
| X1062 != X1063
| ~ rpoint(X1063)
| X1061 != X1064
| ~ rpoint(X1064) )
& ( rcenter(X1061,esk15_2(X1061,X1062))
| X1061 = X1062
| X1062 != X1063
| ~ rpoint(X1063)
| X1061 != X1064
| ~ rpoint(X1064) )
& ( rcircle(esk15_2(X1061,X1062))
| X1061 = X1062
| X1062 != X1063
| ~ rpoint(X1063)
| X1061 != X1064
| ~ rpoint(X1064) ) ),
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_98,plain,
( vf(vd1303,vd1287) = vf(vd1287,vd1303)
| ~ rreal(vf(vd1303,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_91]),c_0_92]),c_0_79])]) ).
cnf(c_0_99,plain,
( rR(X1,X2,X3)
| vangle(X2,X1,X3) = v0
| X1 = X3
| X1 = X2
| ~ ron(X3,X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| X4 != X5
| ~ rline(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_100,plain,
( vf(vd1299,vd1329) = X1
| vplus(X1,vf(vd1287,vd1303)) != vf(vd1287,vd1299)
| ~ rreal(vf(vd1299,vd1329))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
fof(c_0_101,plain,
! [X1000,X1001,X1002,X1003,X1004,X1005] :
( ( ~ rless(vf(X1002,X1000),vf(X1002,X1001))
| rinside(X1000,X1003)
| ~ ron(X1001,X1003)
| ~ rcenter(X1002,X1003)
| X1001 != X1004
| ~ rpoint(X1004)
| X1000 != X1005
| ~ rpoint(X1005) )
& ( ~ rinside(X1000,X1003)
| rless(vf(X1002,X1000),vf(X1002,X1001))
| ~ ron(X1001,X1003)
| ~ rcenter(X1002,X1003)
| X1001 != X1004
| ~ rpoint(X1004)
| X1000 != X1005
| ~ rpoint(X1005) ) ),
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_102,plain,
! [X1104,X1105] :
( ~ rcenter(X1104,X1105)
| rinside(X1104,X1105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_103,plain,
( rcenter(X1,esk15_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_104,plain,
vf(vd1303,vd1287) = vf(vd1287,vd1303),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_70]),c_0_73]),c_0_72])]) ).
cnf(c_0_105,plain,
vplus(vf(vd1299,esk5_0),vf(vd1287,esk4_0)) = vf(vd1287,vd1299),
inference(rw,[status(thm)],[c_0_77,c_0_90]) ).
cnf(c_0_106,plain,
( vangle(X1,X2,X3) = v0
| X2 = X3
| X2 = X1
| rR(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_99])])])]) ).
cnf(c_0_107,plain,
ron(vd1329,vd1295),
inference(split_conjunct,[status(thm)],['pred(conjunct1(368), 0)']) ).
cnf(c_0_108,plain,
rline(vd1295),
inference(split_conjunct,[status(thm)],['pred(346, 0)']) ).
cnf(c_0_109,plain,
( vf(vd1299,vd1329) = X1
| vplus(X1,vf(vd1287,vd1303)) != vf(vd1287,vd1299)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_70]),c_0_49]),c_0_65])]) ).
cnf(c_0_110,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_101]) ).
cnf(c_0_111,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_112,plain,
( X1 = X2
| rcenter(X1,esk15_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_103])]) ).
cnf(c_0_113,plain,
vplus(vf(vd1303,esk4_0),vf(vd1287,esk4_0)) = vf(vd1287,vd1303),
inference(rw,[status(thm)],[c_0_91,c_0_104]) ).
cnf(c_0_114,plain,
( vf(vd1299,esk5_0) = X1
| vplus(X1,vf(vd1287,esk4_0)) != vf(vd1287,vd1299)
| ~ rreal(vf(vd1299,esk5_0))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_105]),c_0_79])]) ).
cnf(c_0_115,plain,
( vangle(X1,X2,vd1329) = v0
| X2 = vd1329
| X2 = X1
| rR(X2,X1,vd1329)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_65]),c_0_108])]) ).
cnf(c_0_116,plain,
ron(vd1287,vd1295),
inference(split_conjunct,[status(thm)],['pred(s1(plural(346)), 0)']) ).
cnf(c_0_117,plain,
ron(vd1288,vd1295),
inference(split_conjunct,[status(thm)],['pred(s3(plural(370)), 0)']) ).
cnf(c_0_118,plain,
vd1287 != vd1288,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_119,plain,
( vf(vd1299,vd1329) = X1
| vplus(vf(vd1287,vd1303),X1) != vf(vd1287,vd1299)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_76]),c_0_96])]) ).
cnf(c_0_120,plain,
vplus(vf(vd1287,vd1303),vf(vd1329,vd1299)) = vf(vd1287,vd1299),
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_56,c_0_64]),c_0_83]),c_0_47]),c_0_65]),c_0_49])]) ).
cnf(c_0_121,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_110])]) ).
cnf(c_0_122,plain,
( X1 = X2
| rinside(X1,esk15_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_123,plain,
( vf(vd1303,esk4_0) = X1
| vplus(X1,vf(vd1287,esk4_0)) != vf(vd1287,vd1303)
| ~ rreal(vf(vd1303,esk4_0))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_113]),c_0_79])]) ).
cnf(c_0_124,plain,
( vf(vd1299,esk5_0) = X1
| vplus(X1,vf(vd1287,esk4_0)) != vf(vd1287,vd1299)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_70]),c_0_49]),c_0_48])]) ).
cnf(c_0_125,plain,
( vangle(vd1287,X1,vd1329) = v0
| X1 = vd1287
| X1 = vd1329
| rR(X1,vd1287,vd1329)
| ~ rpoint(X1)
| ~ ron(X1,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_47])]) ).
cnf(c_0_126,plain,
ron(esk5_0,vd1295),
inference(rw,[status(thm)],[c_0_117,c_0_38]) ).
cnf(c_0_127,plain,
esk5_0 != vd1287,
inference(rw,[status(thm)],[c_0_118,c_0_38]) ).
cnf(c_0_128,plain,
( vf(vd1329,vd1299) = vf(vd1299,vd1329)
| ~ rreal(vf(vd1329,vd1299)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_129,plain,
( X1 = X2
| rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,esk15_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ ron(X4,esk15_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_130,plain,
( ron(X1,esk15_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
fof(c_0_131,plain,
! [X933,X934,X935,X936] :
( ( vf(X933,X934) != v0
| X933 = X934
| X934 != X935
| ~ rpoint(X935)
| X933 != X936
| ~ rpoint(X936) )
& ( X933 != X934
| vf(X933,X934) = v0
| X934 != X935
| ~ rpoint(X935)
| X933 != X936
| ~ rpoint(X936) ) ),
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_132,plain,
( vf(vd1303,esk4_0) = X1
| vplus(X1,vf(vd1287,esk4_0)) != vf(vd1287,vd1303)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_70]),c_0_73]),c_0_72])]) ).
cnf(c_0_133,plain,
( vf(vd1299,esk5_0) = X1
| vplus(vf(vd1287,esk4_0),X1) != vf(vd1287,vd1299)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_76]),c_0_79])]) ).
cnf(c_0_134,plain,
( vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0
| rR(esk5_0,vd1287,vd1329) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_48])]),c_0_127]) ).
cnf(c_0_135,plain,
vf(vd1329,vd1299) = vf(vd1299,vd1329),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_70]),c_0_65]),c_0_49])]) ).
cnf(c_0_136,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ ron(X3,esk15_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_112]) ).
cnf(c_0_137,plain,
( X1 = X2
| ron(X1,esk15_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_130])]) ).
cnf(c_0_138,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_139,plain,
( vf(vd1303,esk4_0) = X1
| vplus(vf(vd1287,esk4_0),X1) != vf(vd1287,vd1303)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_76]),c_0_79])]) ).
fof(c_0_140,plain,
! [X1082,X1083,X1084,X1085,X1086,X1087,X1088,X1089] :
( X1085 != X1086
| ~ ron(X1084,X1085)
| ~ ron(X1083,X1085)
| ~ ron(X1082,X1085)
| ~ rline(X1086)
| X1083 = X1084
| X1082 = X1084
| X1082 = X1083
| X1084 != X1087
| ~ rpoint(X1087)
| X1083 != X1088
| ~ rpoint(X1088)
| X1082 != X1089
| ~ rpoint(X1089)
| rR(X1083,X1082,X1084)
| rR(X1082,X1083,X1084)
| rR(X1084,X1082,X1083) ),
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_141,plain,
( vf(esk5_0,vd1299) = vf(vd1299,esk5_0)
| ~ rreal(vf(esk5_0,vd1299)) ),
inference(spm,[status(thm)],[c_0_133,c_0_69]) ).
cnf(c_0_142,plain,
( vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0
| rR(esk5_0,vd1329,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_134]),c_0_47]),c_0_48]),c_0_65])]) ).
cnf(c_0_143,plain,
( X1 = X2
| vplus(X1,X3) != vplus(X3,X2)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_76]) ).
cnf(c_0_144,plain,
vplus(vf(vd1287,vd1303),vf(vd1299,vd1329)) = vf(vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_68]),c_0_49]),c_0_65])]) ).
cnf(c_0_145,plain,
rreal(vf(vd1299,vd1329)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_135]),c_0_65]),c_0_49])]) ).
fof(c_0_146,plain,
! [X1116,X1117,X1118,X1119,X1120,X1121] :
( ~ rless(X1116,X1118)
| X1120 != X1121
| ~ rreal(X1121)
| X1118 != X1119
| ~ rreal(X1119)
| X1116 != X1117
| ~ rreal(X1117)
| rless(vplus(X1116,X1120),vplus(X1118,X1120)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
cnf(c_0_147,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_148,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_138])])]) ).
cnf(c_0_149,plain,
( vf(esk4_0,vd1303) = vf(vd1303,esk4_0)
| ~ rreal(vf(esk4_0,vd1303)) ),
inference(spm,[status(thm)],[c_0_139,c_0_86]) ).
fof(c_0_150,plain,
! [X1080,X1081] :
( X1080 != X1081
| ~ rreal(X1081)
| vplus(X1080,v0) = X1080 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
cnf(c_0_151,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_140]) ).
cnf(c_0_152,plain,
vf(esk5_0,vd1299) = vf(vd1299,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_70]),c_0_48]),c_0_49])]) ).
cnf(c_0_153,plain,
( vplus(vf(vd1329,esk5_0),vf(esk5_0,vd1287)) = vf(vd1329,vd1287)
| vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_142]),c_0_65]),c_0_48]),c_0_47])]) ).
cnf(c_0_154,plain,
( vf(vd1287,vd1303) = X1
| vplus(vf(vd1299,vd1329),X1) != vf(vd1287,vd1299)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_96])]),c_0_145])]) ).
cnf(c_0_155,plain,
vplus(vf(vd1299,vd1329),vf(vd1329,vd1287)) = vf(vd1287,vd1299),
inference(rw,[status(thm)],[c_0_82,c_0_90]) ).
fof(c_0_156,negated_conjecture,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(377, 1347, 0)'])]) ).
cnf(c_0_157,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_146]) ).
cnf(c_0_158,plain,
( X1 = X2
| rless(v0,vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_159,plain,
vf(esk4_0,vd1303) = vf(vd1303,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_70]),c_0_72]),c_0_73])]) ).
cnf(c_0_160,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_161,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
cnf(c_0_162,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_163,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ 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_151])])])]) ).
fof(c_0_164,plain,
~ rR(vd1287,vd1288,vd1329),
inference(fof_simplification,[status(thm)],['neg(neg(conjunct2(372)))']) ).
cnf(c_0_165,plain,
rreal(vf(vd1299,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_152]),c_0_48]),c_0_49])]) ).
cnf(c_0_166,plain,
( vplus(vf(vd1329,esk5_0),vf(vd1287,esk4_0)) = vf(vd1329,vd1287)
| vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_68]),c_0_59]),c_0_47]),c_0_48])]) ).
cnf(c_0_167,plain,
( vf(vd1329,vd1287) = vf(vd1287,vd1303)
| ~ rreal(vf(vd1329,vd1287)) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_168,negated_conjecture,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
fof(c_0_169,plain,
! [X256,X257,X258,X259] :
( ( rless(X256,X258)
& X258 = X259
& rreal(X259)
& X256 = X257
& rreal(X257) )
=> ( ~ rless(X258,X256)
| X256 = X258 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))']) ).
cnf(c_0_170,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_157])])]) ).
cnf(c_0_171,plain,
( esk4_0 = vd1303
| rless(v0,vf(vd1303,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_72]),c_0_73])]) ).
cnf(c_0_172,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_173,plain,
rreal(vf(vd1303,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_159]),c_0_72]),c_0_73])]) ).
cnf(c_0_174,plain,
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_162]) ).
cnf(c_0_175,plain,
( X1 = esk5_0
| X2 = esk5_0
| X2 = X1
| rR(esk5_0,X1,X2)
| rR(X1,esk5_0,X2)
| rR(X2,esk5_0,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_163,c_0_126]),c_0_48]),c_0_108])]) ).
cnf(c_0_176,plain,
~ rR(vd1287,vd1288,vd1329),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_177,plain,
( vf(vd1287,esk4_0) = X1
| vplus(vf(vd1299,esk5_0),X1) != vf(vd1287,vd1299)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_78]),c_0_79])]),c_0_165])]) ).
cnf(c_0_178,plain,
vplus(vf(vd1299,esk5_0),vf(esk5_0,vd1287)) = vf(vd1287,vd1299),
inference(rw,[status(thm)],[c_0_67,c_0_90]) ).
fof(c_0_179,plain,
! [X901,X902,X903,X904,X905,X906] :
( X901 = X903
| X901 = X902
| X903 != X904
| ~ rpoint(X904)
| X902 != X905
| ~ rpoint(X905)
| X901 != X906
| ~ rpoint(X906)
| vangle(X901,X902,X903) = vangle(X903,X902,X901) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))'])])]) ).
cnf(c_0_180,plain,
( vplus(vf(esk5_0,vd1329),vf(vd1287,esk4_0)) = vf(vd1329,vd1287)
| vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_68]),c_0_48]),c_0_65])]) ).
cnf(c_0_181,plain,
vf(vd1329,vd1287) = vf(vd1287,vd1303),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_70]),c_0_65]),c_0_47])]) ).
cnf(c_0_182,negated_conjecture,
vf(esk5_0,vd1329) != vf(esk4_0,vd1303),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_38]),c_0_52]),c_0_63]) ).
fof(c_0_183,plain,
! [X1072,X1073,X1074,X1075] :
( ~ rless(X1072,X1074)
| X1074 != X1075
| ~ rreal(X1075)
| X1072 != X1073
| ~ rreal(X1073)
| ~ rless(X1074,X1072)
| X1072 = X1074 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_169])]) ).
cnf(c_0_184,plain,
( esk4_0 = vd1303
| rless(vplus(v0,X1),vplus(vf(vd1303,esk4_0),X1))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173])]) ).
cnf(c_0_185,plain,
( vplus(v0,X1) = X1
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_76]),c_0_172])]) ).
cnf(c_0_186,plain,
( vd1329 = esk5_0
| X1 = vd1329
| X1 = esk5_0
| rR(X1,esk5_0,vd1329)
| rR(vd1329,esk5_0,X1)
| rR(esk5_0,vd1329,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_107]),c_0_65])]) ).
cnf(c_0_187,plain,
vd1329 != vd1287,
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(371))), 1332, 0)']) ).
cnf(c_0_188,plain,
~ rR(vd1287,esk5_0,vd1329),
inference(rw,[status(thm)],[c_0_176,c_0_38]) ).
cnf(c_0_189,plain,
( vf(esk5_0,vd1287) = vf(vd1287,esk4_0)
| ~ rreal(vf(esk5_0,vd1287)) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_190,plain,
( X1 = X3
| X1 = X2
| ~ rR(X1,X2,X3)
| vangle(X2,X1,X3) != v0
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| X4 != X5
| ~ rline(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_191,plain,
( X1 = X2
| X1 = X3
| vangle(X1,X3,X2) = vangle(X2,X3,X1)
| X2 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_192,plain,
( vplus(vf(esk5_0,vd1329),vf(vd1287,esk4_0)) = vf(vd1287,vd1303)
| vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0 ),
inference(rw,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_193,negated_conjecture,
vf(esk5_0,vd1329) != vf(vd1303,esk4_0),
inference(rw,[status(thm)],[c_0_182,c_0_159]) ).
cnf(c_0_194,plain,
( X1 = X2
| ~ rless(X1,X2)
| X2 != X3
| ~ rreal(X3)
| X1 != X4
| ~ rreal(X4)
| ~ rless(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_195,plain,
( esk4_0 = vd1303
| rless(X1,vplus(vf(vd1303,esk4_0),X1))
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_196,plain,
( X1 = X2
| rless(vplus(v0,X3),vplus(vf(X1,X2),X3))
| ~ rreal(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_158]),c_0_172])]),c_0_70]) ).
cnf(c_0_197,plain,
( vd1329 = esk5_0
| rR(esk5_0,vd1329,vd1287)
| rR(vd1329,esk5_0,vd1287) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_116]),c_0_47])]),c_0_187]),c_0_127]),c_0_188]) ).
cnf(c_0_198,plain,
vf(esk5_0,vd1287) = vf(vd1287,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_70]),c_0_48]),c_0_47])]) ).
cnf(c_0_199,plain,
( X1 = X2
| X1 = X3
| vangle(X3,X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rline(X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ rR(X1,X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_190])])])]) ).
cnf(c_0_200,plain,
( vangle(X1,X2,X3) = vangle(X3,X2,X1)
| X1 = X2
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_191])])]) ).
cnf(c_0_201,plain,
( vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0
| ~ rreal(vf(esk5_0,vd1329)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_192]),c_0_193]) ).
cnf(c_0_202,plain,
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_194])]) ).
cnf(c_0_203,plain,
( esk4_0 = vd1303
| rless(vf(vd1287,esk4_0),vf(vd1287,vd1303)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_113]),c_0_79])]) ).
cnf(c_0_204,plain,
( X1 = X2
| rless(X3,vplus(vf(X1,X2),X3))
| ~ rreal(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_196,c_0_185]) ).
cnf(c_0_205,plain,
( vplus(vf(esk5_0,vd1329),vf(vd1287,vd1303)) = vf(vd1287,esk4_0)
| vd1329 = esk5_0
| rR(esk5_0,vd1329,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_197]),c_0_181]),c_0_198]),c_0_48]),c_0_65]),c_0_47])]) ).
cnf(c_0_206,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| vangle(X2,X3,X1) != v0
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| ~ rR(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_207,plain,
( vangle(vd1287,esk5_0,vd1329) = v0
| vd1329 = esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_70]),c_0_48]),c_0_65])]) ).
cnf(c_0_208,plain,
( vf(vd1287,esk4_0) = vf(vd1287,vd1303)
| esk4_0 = vd1303
| ~ rless(vf(vd1287,vd1303),vf(vd1287,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_96]),c_0_79])]) ).
cnf(c_0_209,plain,
( vd1329 = esk5_0
| rless(vf(vd1287,vd1303),vf(vd1287,esk4_0))
| rR(esk5_0,vd1329,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_96]),c_0_48]),c_0_65])]) ).
cnf(c_0_210,plain,
( vd1329 = esk5_0
| ~ rline(X1)
| ~ ron(vd1329,X1)
| ~ ron(esk5_0,X1)
| ~ rR(esk5_0,vd1329,vd1287) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_48]),c_0_65]),c_0_47])]),c_0_187]),c_0_127]) ).
cnf(c_0_211,plain,
( vf(vd1287,esk4_0) = vf(vd1287,vd1303)
| vd1329 = esk5_0
| esk4_0 = vd1303
| rR(esk5_0,vd1329,vd1287) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_212,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_213,plain,
( vf(vd1287,esk4_0) = vf(vd1287,vd1303)
| esk4_0 = vd1303
| vd1329 = esk5_0
| ~ rline(X1)
| ~ ron(vd1329,X1)
| ~ ron(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_214,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_212])]) ).
cnf(c_0_215,plain,
( vf(vd1303,esk4_0) = v0
| vf(vd1287,esk4_0) != vf(vd1287,vd1303) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_185]),c_0_172]),c_0_79])]) ).
cnf(c_0_216,plain,
( vf(vd1287,esk4_0) = vf(vd1287,vd1303)
| vd1329 = esk5_0
| esk4_0 = vd1303 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_107]),c_0_108]),c_0_126])]) ).
cnf(c_0_217,plain,
( esk4_0 = vd1303
| vf(vd1303,esk4_0) != v0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_159]),c_0_72]),c_0_73])]) ).
cnf(c_0_218,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X2,X1,X3)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_219,plain,
( esk4_0 = vd1303
| vd1329 = esk5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).
cnf(c_0_220,plain,
( ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_218])])]) ).
cnf(c_0_221,plain,
( vf(vd1287,esk4_0) = vf(vd1287,vd1303)
| esk4_0 = vd1303 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_219]),c_0_59]) ).
cnf(c_0_222,plain,
~ rR(vd1303,esk4_0,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_80]),c_0_73]),c_0_72]),c_0_47])]) ).
cnf(c_0_223,plain,
esk4_0 = vd1303,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_221]),c_0_217]) ).
cnf(c_0_224,plain,
~ rR(vd1303,vd1303,vd1287),
inference(rw,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_225,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_223]),c_0_224]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO326+1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 06:07:19 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.44 Running first-order model finding
% 0.16/0.44 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.wEbwniEiDD/E---3.1_11676.p
% 757.86/98.37 # Version: 3.1pre001
% 757.86/98.37 # Preprocessing class: FSLSSMSMSSSNFFN.
% 757.86/98.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 757.86/98.37 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 757.86/98.37 # Starting new_bool_3 with 300s (1) cores
% 757.86/98.37 # Starting new_bool_1 with 300s (1) cores
% 757.86/98.37 # Starting sh5l with 300s (1) cores
% 757.86/98.37 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 11753 completed with status 0
% 757.86/98.37 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 757.86/98.37 # Preprocessing class: FSLSSMSMSSSNFFN.
% 757.86/98.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 757.86/98.37 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 757.86/98.37 # No SInE strategy applied
% 757.86/98.37 # Search class: FGHSF-FSLM33-SFFFFFNN
% 757.86/98.37 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 757.86/98.37 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 757.86/98.37 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 757.86/98.37 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 757.86/98.37 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 757.86/98.37 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 757.86/98.37 # G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 11763 completed with status 0
% 757.86/98.37 # Result found by G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 757.86/98.37 # Preprocessing class: FSLSSMSMSSSNFFN.
% 757.86/98.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 757.86/98.37 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 757.86/98.37 # No SInE strategy applied
% 757.86/98.37 # Search class: FGHSF-FSLM33-SFFFFFNN
% 757.86/98.37 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 757.86/98.37 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 757.86/98.37 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 757.86/98.37 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 757.86/98.37 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 757.86/98.37 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 757.86/98.37 # Preprocessing time : 0.019 s
% 757.86/98.37 # Presaturation interreduction done
% 757.86/98.37
% 757.86/98.37 # Proof found!
% 757.86/98.37 # SZS status Theorem
% 757.86/98.37 # SZS output start CNFRefutation
% See solution above
% 757.86/98.37 # Parsed axioms : 184
% 757.86/98.37 # Removed by relevancy pruning/SinE : 0
% 757.86/98.37 # Initial clauses : 351
% 757.86/98.37 # Removed in clause preprocessing : 2
% 757.86/98.37 # Initial clauses in saturation : 349
% 757.86/98.37 # Processed clauses : 34952
% 757.86/98.37 # ...of these trivial : 224
% 757.86/98.37 # ...subsumed : 15290
% 757.86/98.37 # ...remaining for further processing : 19437
% 757.86/98.37 # Other redundant clauses eliminated : 1184
% 757.86/98.37 # Clauses deleted for lack of memory : 10024
% 757.86/98.37 # Backward-subsumed : 735
% 757.86/98.37 # Backward-rewritten : 3848
% 757.86/98.37 # Generated clauses : 1730386
% 757.86/98.37 # ...of the previous two non-redundant : 1706956
% 757.86/98.37 # ...aggressively subsumed : 0
% 757.86/98.37 # Contextual simplify-reflections : 1561
% 757.86/98.37 # Paramodulations : 1729414
% 757.86/98.37 # Factorizations : 66
% 757.86/98.37 # NegExts : 0
% 757.86/98.37 # Equation resolutions : 1621
% 757.86/98.37 # Total rewrite steps : 2367856
% 757.86/98.37 # Propositional unsat checks : 0
% 757.86/98.37 # Propositional check models : 0
% 757.86/98.37 # Propositional check unsatisfiable : 0
% 757.86/98.37 # Propositional clauses : 0
% 757.86/98.37 # Propositional clauses after purity: 0
% 757.86/98.37 # Propositional unsat core size : 0
% 757.86/98.37 # Propositional preprocessing time : 0.000
% 757.86/98.37 # Propositional encoding time : 0.000
% 757.86/98.37 # Propositional solver time : 0.000
% 757.86/98.37 # Success case prop preproc time : 0.000
% 757.86/98.37 # Success case prop encoding time : 0.000
% 757.86/98.37 # Success case prop solver time : 0.000
% 757.86/98.37 # Current number of processed clauses : 14196
% 757.86/98.37 # Positive orientable unit clauses : 3914
% 757.86/98.37 # Positive unorientable unit clauses: 0
% 757.86/98.37 # Negative unit clauses : 437
% 757.86/98.37 # Non-unit-clauses : 9845
% 757.86/98.37 # Current number of unprocessed clauses: 970553
% 757.86/98.37 # ...number of literals in the above : 7927150
% 757.86/98.37 # Current number of archived formulas : 0
% 757.86/98.37 # Current number of archived clauses : 4901
% 757.86/98.37 # Clause-clause subsumption calls (NU) : 33817615
% 757.86/98.37 # Rec. Clause-clause subsumption calls : 4440118
% 757.86/98.37 # Non-unit clause-clause subsumptions : 17374
% 757.86/98.37 # Unit Clause-clause subsumption calls : 4637595
% 757.86/98.37 # Rewrite failures with RHS unbound : 0
% 757.86/98.37 # BW rewrite match attempts : 593848
% 757.86/98.37 # BW rewrite match successes : 155
% 757.86/98.37 # Condensation attempts : 0
% 757.86/98.37 # Condensation successes : 0
% 757.86/98.37 # Termbank termtop insertions : 102615672
% 757.86/98.37
% 757.86/98.37 # -------------------------------------------------
% 757.86/98.37 # User time : 91.849 s
% 757.86/98.37 # System time : 1.468 s
% 757.86/98.37 # Total time : 93.318 s
% 757.86/98.37 # Maximum resident set size: 4464 pages
% 757.86/98.37
% 757.86/98.37 # -------------------------------------------------
% 757.86/98.37 # User time : 465.049 s
% 757.86/98.37 # System time : 7.262 s
% 757.86/98.37 # Total time : 472.311 s
% 757.86/98.37 # Maximum resident set size: 2576 pages
% 757.86/98.37 % E---3.1 exiting
%------------------------------------------------------------------------------