TSTP Solution File: GEO313+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO313+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 17:32:34 EDT 2023
% Result : Theorem 591.05s 74.96s
% Output : CNFRefutation 591.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 36
% Syntax : Number of formulae : 276 ( 99 unt; 0 def)
% Number of atoms : 1201 ( 544 equ)
% Maximal formula atoms : 43 ( 4 avg)
% Number of connectives : 1527 ( 602 ~; 728 |; 171 &)
% ( 4 <=>; 22 =>; 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 : 474 ( 0 sgn; 181 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X59,X60,X61] :
( ( rR(X60,X59,X61)
& ? [X62] :
( X61 = X62
& rpoint(X62) )
& ? [X63] :
( X60 = X63
& rpoint(X63) )
& ? [X64] :
( X59 = X64
& rpoint(X64) ) )
=> ( ~ rR(X59,X60,X61)
& X59 != X61
& X59 != X60
& rR(X60,X61,X59) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.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
& ? [X1] :
( vd1289 = X1
& rpoint(X1) )
& ? [X2] :
( vd1288 = X2
& rpoint(X2) )
& ? [X3] :
( vd1287 = X3
& rpoint(X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.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,
! [X192,X193,X194] :
( ( rR(X193,X192,X194)
& ? [X195] :
( X194 = X195
& rpoint(X195) )
& ? [X196] :
( X193 = X196
& rpoint(X196) )
& ? [X197] :
( X192 = X197
& rpoint(X197) ) )
=> vplus(vf(X192,X193),vf(X193,X194)) = vf(X192,X194) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.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.RdU5DUEKxb/E---3.1_2366.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X115,X116] :
( ( ? [X117] :
( X116 = X117
& rpoint(X117) )
& ? [X118] :
( X115 = X118
& rpoint(X118) ) )
=> ? [X119] :
( vf(X115,X116) = X119
& rreal(X119) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X4,X5] :
( ( ? [X6] :
( X5 = X6
& rpoint(X6) )
& ? [X7] :
( X4 = X7
& rpoint(X7) ) )
=> vf(X4,X5) = vf(X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X168,X169,X170,X171] :
( ( X170 = X171
& rreal(X171)
& X168 = X169
& rreal(X169) )
=> vplus(X168,X170) = vplus(X170,X168) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('holds(conjunct1(352), 1307, 0)',axiom,
rR(vd1306,vd1287,vd1302),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','holds(conjunct1(352), 1307, 0)') ).
fof('pred(352, 0)',axiom,
rpoint(vd1306),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(352, 0)') ).
fof('holds(conjunct2(352), 1308, 0)',axiom,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','holds(conjunct2(352), 1308, 0)') ).
fof('pred(348, 4)',axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(348, 4)') ).
fof('ass(cond(156, 0), 0)',axiom,
! [X162,X163,X164,X165,X166,X167] :
( ( vplus(X162,X166) = vplus(X164,X166)
& X166 = X167
& rreal(X167)
& X164 = X165
& rreal(X165)
& X162 = X163
& rreal(X163) )
=> X162 = X164 ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','ass(cond(156, 0), 0)') ).
fof('qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))',axiom,
! [X87,X88,X89,X90,X91,X92,X93,X94] :
( ( ron(X89,X93)
& ron(X87,X93)
& X87 != X91
& X87 != X89
& X93 = X94
& rline(X94)
& X91 = X92
& rpoint(X92)
& X89 = X90
& rpoint(X90)
& X87 = X88
& rpoint(X88) )
=> ( ( ~ rR(X87,X89,X91)
& ron(X91,X93) )
<=> vangle(X89,X87,X91) = v0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof('pred(348, 1)',axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(348, 1)') ).
fof('pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)',axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)') ).
fof('pred(347, 0)',axiom,
rline(vd1297),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(347, 0)') ).
fof('pred(s1(plural(347)), 0)',axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(s1(plural(347)), 0)') ).
fof('pred(s2(plural(347)), 0)',axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(s2(plural(347)), 0)') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X132,X133,X134,X135,X136] :
( ( X135 = X136
& ron(X134,X135)
& ron(X133,X135)
& ron(X132,X135)
& rline(X136)
& X133 != X134
& X132 != X134
& X132 != X133
& ? [X137] :
( X134 = X137
& rpoint(X137) )
& ? [X138] :
( X133 = X138
& rpoint(X138) )
& ? [X139] :
( X132 = X139
& rpoint(X139) ) )
=> ( rR(X133,X132,X134)
| rR(X132,X133,X134)
| rR(X134,X132,X133) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('holds(361, 1323, 0)',conjecture,
vf(vd1288,vd1299) = vf(vd1289,vd1306),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','holds(361, 1323, 0)') ).
fof('qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))',axiom,
! [X415,X416,X417,X418] :
( ( rR(X416,X415,X418)
& rR(X416,X415,X417)
& ? [X419] :
( X418 = X419
& rpoint(X419) )
& ? [X420] :
( X417 = X420
& rpoint(X420) )
& ? [X421] :
( X416 = X421
& rpoint(X421) )
& ? [X422] :
( X415 = X422
& rpoint(X422) ) )
=> ~ rR(X416,X417,X418) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof('pred(conjunct2(349), 0)',axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(conjunct2(349), 0)') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X210,X211] :
( ( X210 != X211
& ? [X212] :
( X211 = X212
& rpoint(X212) )
& ? [X213] :
( X210 = X213
& rpoint(X213) ) )
=> ? [X214] :
( ron(X211,X214)
& rcenter(X210,X214)
& rcircle(X214) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X95,X96,X97,X98] :
( ( ron(X96,X98)
& rcenter(X97,X98)
& ? [X99] :
( X96 = X99
& rpoint(X99) )
& ? [X100] :
( X95 = X100
& rpoint(X100) ) )
=> ( rless(vf(X97,X95),vf(X97,X96))
<=> rinside(X95,X98) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X435,X436] :
( rcenter(X435,X436)
=> rinside(X435,X436) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))',axiom,
! [X198,X199,X200] :
( ( X198 != X200
& X198 != X199
& ? [X201] :
( X200 = X201
& rpoint(X201) )
& ? [X202] :
( X199 = X202
& rpoint(X202) )
& ? [X203] :
( X198 = X203
& rpoint(X203) ) )
=> vangle(X198,X199,X200) = vangle(X200,X199,X198) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof('holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)',axiom,
vd1306 != vd1302,
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)') ).
fof('holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)',axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X111,X112] :
( ( ? [X113] :
( X112 = X113
& rpoint(X113) )
& ? [X114] :
( X111 = X114
& rpoint(X114) ) )
=> ( vf(X111,X112) = v0
<=> X111 = X112 ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('neg(neg(conjunct2(356)))',axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','neg(neg(conjunct2(356)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X219,X220,X221,X222,X223,X224] :
( ( rless(X219,X221)
& X223 = X224
& rreal(X224)
& X221 = X222
& rreal(X222)
& X219 = X220
& rreal(X220) )
=> rless(vplus(X219,X223),vplus(X221,X223)) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X172,X173] :
( ( X172 = X173
& rreal(X173) )
=> vplus(X172,v0) = X172 ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','pred(axiom(137), 2)') ).
fof('qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))',axiom,
! [X122,X123,X124,X125] :
( ( rless(X122,X124)
& X124 = X125
& rreal(X125)
& X122 = X123
& rreal(X123) )
=> ( ~ rless(X124,X122)
| X122 = X124 ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof('qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))',axiom,
! [X43,X44,X45,X46] :
( ( rR(X45,X44,X46)
& rR(X44,X43,X45)
& ? [X47] :
( X46 = X47
& rpoint(X47) )
& ? [X48] :
( X45 = X48
& rpoint(X48) )
& ? [X49] :
( X44 = X49
& rpoint(X49) )
& ? [X50] :
( X43 = X50
& rpoint(X50) ) )
=> rR(X44,X43,X46) ),
file('/export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(c_0_36,plain,
! [X59,X60,X61] :
( ( rR(X60,X59,X61)
& ? [X62] :
( X61 = X62
& rpoint(X62) )
& ? [X63] :
( X60 = X63
& rpoint(X63) )
& ? [X64] :
( X59 = X64
& rpoint(X64) ) )
=> ( ~ rR(X59,X60,X61)
& X59 != X61
& X59 != X60
& rR(X60,X61,X59) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(c_0_37,plain,
! [X861,X862,X863,X864,X865,X866] :
( ( ~ rR(X861,X862,X863)
| ~ rR(X862,X861,X863)
| X863 != X864
| ~ rpoint(X864)
| X862 != X865
| ~ rpoint(X865)
| X861 != X866
| ~ rpoint(X866) )
& ( X861 != X863
| ~ rR(X862,X861,X863)
| X863 != X864
| ~ rpoint(X864)
| X862 != X865
| ~ rpoint(X865)
| X861 != X866
| ~ rpoint(X866) )
& ( X861 != X862
| ~ rR(X862,X861,X863)
| X863 != X864
| ~ rpoint(X864)
| X862 != X865
| ~ rpoint(X865)
| X861 != X866
| ~ rpoint(X866) )
& ( rR(X862,X863,X861)
| ~ rR(X862,X861,X863)
| X863 != X864
| ~ rpoint(X864)
| X862 != X865
| ~ rpoint(X865)
| X861 != X866
| ~ rpoint(X866) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_38,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_39,plain,
! [X1008,X1009,X1010,X1011,X1012,X1013] :
( ~ rR(X1009,X1008,X1010)
| X1010 != X1011
| ~ rpoint(X1011)
| X1009 != X1012
| ~ rpoint(X1012)
| X1008 != X1013
| ~ rpoint(X1013)
| vplus(vf(X1008,X1009),vf(X1009,X1010)) = vf(X1008,X1010) ),
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_40,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_37]) ).
cnf(c_0_41,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_42,plain,
vd1289 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
vd1287 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,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_46,plain,
vd1302 = vd1303,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
fof(c_0_47,plain,
! [X917,X918,X919,X920] :
( ( vf(X917,X918) = esk7_2(X917,X918)
| X918 != X919
| ~ rpoint(X919)
| X917 != X920
| ~ rpoint(X920) )
& ( rreal(esk7_2(X917,X918))
| X918 != X919
| ~ rpoint(X919)
| X917 != X920
| ~ rpoint(X920) ) ),
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_48,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_39]) ).
cnf(c_0_49,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])])]) ).
cnf(c_0_50,plain,
rR(esk1_0,vd1287,vd1302),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_51,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_53,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_54,plain,
! [X764,X765,X766,X767] :
( X765 != X766
| ~ rpoint(X766)
| X764 != X767
| ~ rpoint(X767)
| vf(X764,X765) = vf(X765,X764) ),
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_55,plain,
( rreal(esk7_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( vf(X1,X2) = esk7_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_57,plain,
! [X976,X977,X978,X979] :
( X978 != X979
| ~ rreal(X979)
| X976 != X977
| ~ rreal(X977)
| vplus(X976,X978) = vplus(X978,X976) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
cnf(c_0_58,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rR(X2,X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])])]) ).
cnf(c_0_59,plain,
rR(esk1_0,vd1302,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_60,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( rreal(esk7_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_55])]) ).
cnf(c_0_62,plain,
( esk7_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_56])]) ).
cnf(c_0_63,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_64,plain,
vd1288 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_65,plain,
rR(vd1306,vd1287,vd1302),
inference(split_conjunct,[status(thm)],['holds(conjunct1(352), 1307, 0)']) ).
cnf(c_0_66,plain,
rpoint(vd1306),
inference(split_conjunct,[status(thm)],['pred(352, 0)']) ).
cnf(c_0_67,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_68,plain,
vplus(vf(vd1302,esk1_0),vf(esk1_0,vd1287)) = vf(vd1302,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_53]),c_0_52]),c_0_51])]) ).
cnf(c_0_69,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_60])]) ).
cnf(c_0_70,plain,
vplus(vf(vd1287,esk1_0),vf(esk1_0,vd1302)) = vf(vd1287,vd1302),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_71,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_72,plain,
vf(vd1287,esk2_0) = vf(vd1287,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_42]) ).
cnf(c_0_73,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_74,plain,
rR(vd1306,vd1302,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_65]),c_0_51]),c_0_66]),c_0_53])]) ).
cnf(c_0_75,plain,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
inference(split_conjunct,[status(thm)],['holds(conjunct2(352), 1308, 0)']) ).
cnf(c_0_76,plain,
vd1299 = vd1300,
inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).
cnf(c_0_77,plain,
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_67])]) ).
cnf(c_0_78,plain,
vplus(vf(vd1302,esk1_0),vf(vd1287,esk1_0)) = vf(vd1302,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_52]),c_0_51])]) ).
cnf(c_0_79,plain,
vplus(vf(vd1287,esk1_0),vf(vd1302,esk1_0)) = vf(vd1287,vd1302),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_52]),c_0_53])]) ).
cnf(c_0_80,plain,
rreal(vf(vd1287,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_51]),c_0_73])]) ).
fof(c_0_81,plain,
! [X970,X971,X972,X973,X974,X975] :
( vplus(X970,X974) != vplus(X972,X974)
| X974 != X975
| ~ rreal(X975)
| X972 != X973
| ~ rreal(X973)
| X970 != X971
| ~ rreal(X971)
| X970 = X972 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).
cnf(c_0_82,plain,
vplus(vf(vd1302,vd1306),vf(vd1306,vd1287)) = vf(vd1302,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_74]),c_0_53]),c_0_66]),c_0_51])]) ).
cnf(c_0_83,plain,
vf(vd1287,vd1306) = vf(vd1287,vd1300),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,plain,
( vf(vd1302,vd1287) = vf(vd1287,vd1302)
| ~ rreal(vf(vd1302,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]) ).
fof(c_0_85,plain,
! [X87,X88,X89,X90,X91,X92,X93,X94] :
( ( ron(X89,X93)
& ron(X87,X93)
& X87 != X91
& X87 != X89
& X93 = X94
& rline(X94)
& X91 = X92
& rpoint(X92)
& X89 = X90
& rpoint(X90)
& X87 = X88
& rpoint(X88) )
=> ( ( ~ rR(X87,X89,X91)
& ron(X91,X93) )
<=> vangle(X89,X87,X91) = v0 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).
cnf(c_0_86,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_87,plain,
vplus(vf(vd1302,vd1306),vf(vd1287,vd1300)) = vf(vd1302,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_69]),c_0_83]),c_0_66]),c_0_51])]) ).
cnf(c_0_88,plain,
vf(vd1302,vd1287) = vf(vd1287,vd1302),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_71]),c_0_53]),c_0_52])]) ).
fof(c_0_89,plain,
! [X889,X890,X891,X892,X893,X894,X895,X896] :
( ( rR(X889,X891,X893)
| ~ ron(X893,X895)
| vangle(X891,X889,X893) = v0
| ~ ron(X891,X895)
| ~ ron(X889,X895)
| X889 = X893
| X889 = X891
| X895 != X896
| ~ rline(X896)
| X893 != X894
| ~ rpoint(X894)
| X891 != X892
| ~ rpoint(X892)
| X889 != X890
| ~ rpoint(X890) )
& ( ~ rR(X889,X891,X893)
| vangle(X891,X889,X893) != v0
| ~ ron(X891,X895)
| ~ ron(X889,X895)
| X889 = X893
| X889 = X891
| X895 != X896
| ~ rline(X896)
| X893 != X894
| ~ rpoint(X894)
| X891 != X892
| ~ rpoint(X892)
| X889 != X890
| ~ rpoint(X890) )
& ( ron(X893,X895)
| vangle(X891,X889,X893) != v0
| ~ ron(X891,X895)
| ~ ron(X889,X895)
| X889 = X893
| X889 = X891
| X895 != X896
| ~ rline(X896)
| X893 != X894
| ~ rpoint(X894)
| X891 != X892
| ~ rpoint(X892)
| X889 != X890
| ~ rpoint(X890) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).
cnf(c_0_90,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_86])])]) ).
cnf(c_0_91,plain,
vplus(vf(vd1302,vd1306),vf(vd1287,vd1300)) = vf(vd1287,vd1302),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
rreal(vf(vd1287,vd1300)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_83]),c_0_51]),c_0_66])]) ).
cnf(c_0_93,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_94,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_89]) ).
cnf(c_0_95,plain,
( vf(vd1302,vd1306) = X1
| vplus(X1,vf(vd1287,vd1300)) != vf(vd1287,vd1302)
| ~ rreal(vf(vd1302,vd1306))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_96,plain,
rR(esk2_0,vd1287,vd1300),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_64]),c_0_76]) ).
cnf(c_0_97,plain,
rpoint(vd1300),
inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).
cnf(c_0_98,plain,
( vangle(X1,X2,X3) = v0
| X2 = X3
| X2 = X1
| rR(X2,X1,X3)
| ~ rline(X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_94])])])]) ).
cnf(c_0_99,plain,
ron(vd1306,vd1297),
inference(split_conjunct,[status(thm)],['pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)']) ).
cnf(c_0_100,plain,
rline(vd1297),
inference(split_conjunct,[status(thm)],['pred(347, 0)']) ).
cnf(c_0_101,plain,
( vf(vd1302,vd1306) = X1
| vplus(X1,vf(vd1287,vd1300)) != vf(vd1287,vd1302)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_71]),c_0_53]),c_0_66])]) ).
cnf(c_0_102,plain,
rR(esk2_0,vd1300,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_96]),c_0_51]),c_0_73]),c_0_97])]) ).
cnf(c_0_103,plain,
( vangle(X1,X2,vd1306) = v0
| X2 = vd1306
| X2 = X1
| rR(X2,X1,vd1306)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_66])]) ).
cnf(c_0_104,plain,
ron(vd1287,vd1297),
inference(split_conjunct,[status(thm)],['pred(s1(plural(347)), 0)']) ).
cnf(c_0_105,plain,
ron(vd1289,vd1297),
inference(split_conjunct,[status(thm)],['pred(s2(plural(347)), 0)']) ).
cnf(c_0_106,plain,
vd1287 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_107,plain,
( vf(vd1302,vd1306) = X1
| vplus(vf(vd1287,vd1300),X1) != vf(vd1287,vd1302)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_77]),c_0_92])]) ).
cnf(c_0_108,plain,
vplus(vf(vd1287,vd1300),vf(vd1306,vd1302)) = vf(vd1287,vd1302),
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_58,c_0_65]),c_0_83]),c_0_51]),c_0_66]),c_0_53])]) ).
cnf(c_0_109,plain,
vplus(vf(vd1300,esk2_0),vf(esk2_0,vd1287)) = vf(vd1300,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_102]),c_0_97]),c_0_73]),c_0_51])]) ).
cnf(c_0_110,plain,
vplus(vf(vd1287,esk1_0),vf(esk2_0,vd1300)) = vf(vd1287,vd1300),
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_58,c_0_96]),c_0_72]),c_0_51]),c_0_73]),c_0_97])]) ).
cnf(c_0_111,plain,
( vangle(vd1287,X1,vd1306) = v0
| X1 = vd1287
| X1 = vd1306
| rR(X1,vd1287,vd1306)
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_51])]) ).
cnf(c_0_112,plain,
ron(esk1_0,vd1297),
inference(rw,[status(thm)],[c_0_105,c_0_42]) ).
cnf(c_0_113,plain,
esk1_0 != vd1287,
inference(rw,[status(thm)],[c_0_106,c_0_42]) ).
cnf(c_0_114,plain,
( vf(vd1306,vd1302) = vf(vd1302,vd1306)
| ~ rreal(vf(vd1306,vd1302)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,plain,
vplus(vf(vd1300,esk2_0),vf(vd1287,esk1_0)) = vf(vd1300,vd1287),
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_69]),c_0_72]),c_0_73]),c_0_51])]) ).
cnf(c_0_116,plain,
vplus(vf(vd1287,esk1_0),vf(vd1300,esk2_0)) = vf(vd1287,vd1300),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_69]),c_0_73]),c_0_97])]) ).
cnf(c_0_117,plain,
( vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0
| rR(esk1_0,vd1287,vd1306) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_52])]),c_0_113]) ).
cnf(c_0_118,plain,
vf(vd1306,vd1302) = vf(vd1302,vd1306),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_71]),c_0_66]),c_0_53])]) ).
cnf(c_0_119,plain,
( vf(vd1300,vd1287) = vf(vd1287,vd1300)
| ~ rreal(vf(vd1300,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_115]),c_0_116]),c_0_80])]) ).
cnf(c_0_120,plain,
( vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0
| rR(esk1_0,vd1306,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_117]),c_0_51]),c_0_52]),c_0_66])]) ).
cnf(c_0_121,plain,
( X1 = X2
| vplus(X1,X3) != vplus(X3,X2)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_77]) ).
cnf(c_0_122,plain,
vplus(vf(vd1287,vd1300),vf(vd1302,vd1306)) = vf(vd1287,vd1302),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_69]),c_0_66]),c_0_53])]) ).
cnf(c_0_123,plain,
rreal(vf(vd1302,vd1306)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_118]),c_0_66]),c_0_53])]) ).
fof(c_0_124,plain,
! [X934,X935,X936,X937,X938,X939,X940,X941] :
( X937 != X938
| ~ ron(X936,X937)
| ~ ron(X935,X937)
| ~ ron(X934,X937)
| ~ rline(X938)
| X935 = X936
| X934 = X936
| X934 = X935
| X936 != X939
| ~ rpoint(X939)
| X935 != X940
| ~ rpoint(X940)
| X934 != X941
| ~ rpoint(X941)
| rR(X935,X934,X936)
| rR(X934,X935,X936)
| rR(X936,X934,X935) ),
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_125,plain,
vf(vd1300,vd1287) = vf(vd1287,vd1300),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_71]),c_0_97]),c_0_73])]) ).
cnf(c_0_126,plain,
( vplus(vf(vd1306,esk1_0),vf(esk1_0,vd1287)) = vf(vd1306,vd1287)
| vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_120]),c_0_66]),c_0_52]),c_0_51])]) ).
cnf(c_0_127,plain,
( vf(vd1287,vd1300) = X1
| vplus(vf(vd1302,vd1306),X1) != vf(vd1287,vd1302)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_92])]),c_0_123])]) ).
cnf(c_0_128,plain,
vplus(vf(vd1302,vd1306),vf(vd1306,vd1287)) = vf(vd1287,vd1302),
inference(rw,[status(thm)],[c_0_82,c_0_88]) ).
fof(c_0_129,negated_conjecture,
vf(vd1288,vd1299) != vf(vd1289,vd1306),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(361, 1323, 0)'])]) ).
fof(c_0_130,plain,
! [X415,X416,X417,X418] :
( ( rR(X416,X415,X418)
& rR(X416,X415,X417)
& ? [X419] :
( X418 = X419
& rpoint(X419) )
& ? [X420] :
( X417 = X420
& rpoint(X420) )
& ? [X421] :
( X416 = X421
& rpoint(X421) )
& ? [X422] :
( X415 = X422
& rpoint(X422) ) )
=> ~ rR(X416,X417,X418) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))']) ).
cnf(c_0_131,plain,
ron(vd1302,vd1297),
inference(split_conjunct,[status(thm)],['pred(conjunct2(349), 0)']) ).
cnf(c_0_132,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_124]) ).
fof(c_0_133,plain,
! [X1026,X1027,X1028,X1029] :
( ( ron(X1027,esk10_2(X1026,X1027))
| X1026 = X1027
| X1027 != X1028
| ~ rpoint(X1028)
| X1026 != X1029
| ~ rpoint(X1029) )
& ( rcenter(X1026,esk10_2(X1026,X1027))
| X1026 = X1027
| X1027 != X1028
| ~ rpoint(X1028)
| X1026 != X1029
| ~ rpoint(X1029) )
& ( rcircle(esk10_2(X1026,X1027))
| X1026 = X1027
| X1027 != X1028
| ~ rpoint(X1028)
| X1026 != X1029
| ~ rpoint(X1029) ) ),
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_134,plain,
vplus(vf(vd1300,esk2_0),vf(vd1287,esk1_0)) = vf(vd1287,vd1300),
inference(rw,[status(thm)],[c_0_115,c_0_125]) ).
cnf(c_0_135,plain,
( vplus(vf(vd1306,esk1_0),vf(vd1287,esk1_0)) = vf(vd1306,vd1287)
| vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_69]),c_0_52]),c_0_51])]) ).
cnf(c_0_136,plain,
( vf(vd1306,vd1287) = vf(vd1287,vd1300)
| ~ rreal(vf(vd1306,vd1287)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_137,negated_conjecture,
vf(vd1288,vd1299) != vf(vd1289,vd1306),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
fof(c_0_138,plain,
! [X1231,X1232,X1233,X1234,X1235,X1236,X1237,X1238] :
( ~ rR(X1232,X1231,X1234)
| ~ rR(X1232,X1231,X1233)
| X1234 != X1235
| ~ rpoint(X1235)
| X1233 != X1236
| ~ rpoint(X1236)
| X1232 != X1237
| ~ rpoint(X1237)
| X1231 != X1238
| ~ rpoint(X1238)
| ~ rR(X1232,X1233,X1234) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])]) ).
cnf(c_0_139,plain,
( vangle(X1,X2,vd1302) = v0
| X2 = vd1302
| X2 = X1
| rR(X2,X1,vd1302)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_131]),c_0_100]),c_0_53])]) ).
cnf(c_0_140,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_132])])])]) ).
fof(c_0_141,plain,
! [X897,X898,X899,X900,X901,X902] :
( ( ~ rless(vf(X899,X897),vf(X899,X898))
| rinside(X897,X900)
| ~ ron(X898,X900)
| ~ rcenter(X899,X900)
| X898 != X901
| ~ rpoint(X901)
| X897 != X902
| ~ rpoint(X902) )
& ( ~ rinside(X897,X900)
| rless(vf(X899,X897),vf(X899,X898))
| ~ ron(X898,X900)
| ~ rcenter(X899,X900)
| X898 != X901
| ~ rpoint(X901)
| X897 != X902
| ~ rpoint(X902) ) ),
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_142,plain,
! [X1251,X1252] :
( ~ rcenter(X1251,X1252)
| rinside(X1251,X1252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_143,plain,
( rcenter(X1,esk10_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_144,plain,
vplus(vf(vd1302,esk1_0),vf(vd1287,esk1_0)) = vf(vd1287,vd1302),
inference(rw,[status(thm)],[c_0_78,c_0_88]) ).
fof(c_0_145,plain,
! [X1014,X1015,X1016,X1017,X1018,X1019] :
( X1014 = X1016
| X1014 = X1015
| X1016 != X1017
| ~ rpoint(X1017)
| X1015 != X1018
| ~ rpoint(X1018)
| X1014 != X1019
| ~ rpoint(X1019)
| vangle(X1014,X1015,X1016) = vangle(X1016,X1015,X1014) ),
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_146,plain,
( vf(vd1300,esk2_0) = X1
| vplus(X1,vf(vd1287,esk1_0)) != vf(vd1287,vd1300)
| ~ rreal(vf(vd1300,esk2_0))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_134]),c_0_80])]) ).
cnf(c_0_147,plain,
( vplus(vf(esk1_0,vd1306),vf(vd1287,esk1_0)) = vf(vd1306,vd1287)
| vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_69]),c_0_66]),c_0_52])]) ).
cnf(c_0_148,plain,
vf(vd1306,vd1287) = vf(vd1287,vd1300),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_71]),c_0_66]),c_0_51])]) ).
cnf(c_0_149,negated_conjecture,
vf(esk2_0,vd1300) != vf(esk1_0,vd1306),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_64]),c_0_76]),c_0_42]) ).
cnf(c_0_150,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X1,X2,X4)
| X3 != X5
| ~ rpoint(X5)
| X4 != X6
| ~ rpoint(X6)
| X1 != X7
| ~ rpoint(X7)
| X2 != X8
| ~ rpoint(X8)
| ~ rR(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_151,plain,
( vangle(esk1_0,X1,vd1302) = v0
| X1 = esk1_0
| X1 = vd1302
| rR(X1,esk1_0,vd1302)
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_112]),c_0_52])]) ).
cnf(c_0_152,plain,
vd1306 != vd1302,
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)']) ).
cnf(c_0_153,plain,
( X1 = vd1287
| X2 = vd1287
| X2 = X1
| rR(vd1287,X1,X2)
| rR(X1,vd1287,X2)
| rR(X2,vd1287,X1)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_104]),c_0_100]),c_0_51])]) ).
cnf(c_0_154,plain,
vd1306 != vd1287,
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)']) ).
cnf(c_0_155,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_141]) ).
cnf(c_0_156,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_157,plain,
( X1 = X2
| rcenter(X1,esk10_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_143])]) ).
cnf(c_0_158,plain,
( vf(vd1302,esk1_0) = X1
| vplus(X1,vf(vd1287,esk1_0)) != vf(vd1287,vd1302)
| ~ rreal(vf(vd1302,esk1_0))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_144]),c_0_80])]) ).
cnf(c_0_159,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_89]) ).
cnf(c_0_160,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_145]) ).
cnf(c_0_161,plain,
( vf(vd1300,esk2_0) = X1
| vplus(X1,vf(vd1287,esk1_0)) != vf(vd1287,vd1300)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_71]),c_0_97]),c_0_73])]) ).
cnf(c_0_162,plain,
( vplus(vf(esk1_0,vd1306),vf(vd1287,esk1_0)) = vf(vd1287,vd1300)
| vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0 ),
inference(rw,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_163,negated_conjecture,
vf(esk1_0,vd1306) != vf(vd1300,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_69]),c_0_73]),c_0_97])]) ).
cnf(c_0_164,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X1,X4,X2)
| ~ rR(X1,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_150])])])]) ).
cnf(c_0_165,plain,
( vangle(esk1_0,vd1306,vd1302) = v0
| vd1306 = esk1_0
| rR(vd1306,esk1_0,vd1302) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_99]),c_0_66])]),c_0_152]) ).
cnf(c_0_166,plain,
( X1 = vd1306
| X1 = vd1287
| rR(X1,vd1287,vd1306)
| rR(vd1306,vd1287,X1)
| rR(vd1287,vd1306,X1)
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_99]),c_0_66])]),c_0_154]) ).
cnf(c_0_167,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rinside(X2,X4)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_155])]) ).
cnf(c_0_168,plain,
( X1 = X2
| rinside(X1,esk10_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_169,plain,
( vf(vd1302,esk1_0) = X1
| vplus(X1,vf(vd1287,esk1_0)) != vf(vd1287,vd1302)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_71]),c_0_53]),c_0_52])]) ).
cnf(c_0_170,plain,
( X1 = X2
| X1 = X3
| vangle(X3,X1,X2) != v0
| ~ rline(X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ rR(X1,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_159])])])]) ).
cnf(c_0_171,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_160])])]) ).
cnf(c_0_172,plain,
( vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0
| ~ rreal(vf(esk1_0,vd1306)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_173,plain,
( vangle(esk1_0,vd1306,vd1302) = v0
| vd1306 = esk1_0
| ~ rR(vd1306,X1,esk1_0)
| ~ rR(vd1306,X1,vd1302)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_66]),c_0_52]),c_0_53])]) ).
cnf(c_0_174,plain,
( vd1306 = esk1_0
| rR(vd1287,vd1306,esk1_0)
| rR(vd1306,vd1287,esk1_0)
| rR(esk1_0,vd1287,vd1306) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_112]),c_0_52])]),c_0_113]) ).
cnf(c_0_175,plain,
( X1 = X2
| rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,esk10_2(X1,X2))
| ~ ron(X4,esk10_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_176,plain,
( ron(X1,esk10_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
fof(c_0_177,plain,
! [X913,X914,X915,X916] :
( ( vf(X913,X914) != v0
| X913 = X914
| X914 != X915
| ~ rpoint(X915)
| X913 != X916
| ~ rpoint(X916) )
& ( X913 != X914
| vf(X913,X914) = v0
| X914 != X915
| ~ rpoint(X915)
| X913 != X916
| ~ rpoint(X916) ) ),
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_178,plain,
( vf(vd1302,esk1_0) = X1
| vplus(vf(vd1287,esk1_0),X1) != vf(vd1287,vd1302)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_77]),c_0_80])]) ).
cnf(c_0_179,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| vangle(X2,X3,X1) != v0
| ~ rline(X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| ~ rR(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_180,plain,
( vangle(vd1287,esk1_0,vd1306) = v0
| vd1306 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_71]),c_0_52]),c_0_66])]) ).
cnf(c_0_181,plain,
( vangle(esk1_0,vd1306,vd1302) = v0
| vd1306 = esk1_0
| rR(esk1_0,vd1287,vd1306)
| rR(vd1287,vd1306,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_65]),c_0_51])]) ).
cnf(c_0_182,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X3))
| ~ ron(X3,esk10_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_175,c_0_157]) ).
cnf(c_0_183,plain,
( X1 = X2
| ron(X1,esk10_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_176])]) ).
cnf(c_0_184,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_185,plain,
( vf(vd1300,esk2_0) = X1
| vplus(vf(vd1287,esk1_0),X1) != vf(vd1287,vd1300)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_77]),c_0_80])]) ).
cnf(c_0_186,plain,
( vf(esk1_0,vd1302) = vf(vd1302,esk1_0)
| ~ rreal(vf(esk1_0,vd1302)) ),
inference(spm,[status(thm)],[c_0_178,c_0_70]) ).
cnf(c_0_187,plain,
( vd1306 = esk1_0
| ~ rline(X1)
| ~ ron(vd1306,X1)
| ~ ron(esk1_0,X1)
| ~ rR(esk1_0,vd1306,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_179,c_0_180]),c_0_52]),c_0_66]),c_0_51])]),c_0_154]),c_0_113]) ).
cnf(c_0_188,plain,
( vangle(esk1_0,vd1306,vd1302) = v0
| vd1306 = esk1_0
| rR(vd1287,vd1306,esk1_0)
| rR(esk1_0,vd1306,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_181]),c_0_51]),c_0_52]),c_0_66])]) ).
fof(c_0_189,plain,
~ rR(vd1287,vd1289,vd1306),
inference(fof_simplification,[status(thm)],['neg(neg(conjunct2(356)))']) ).
fof(c_0_190,plain,
! [X1035,X1036,X1037,X1038,X1039,X1040] :
( ~ rless(X1035,X1037)
| X1039 != X1040
| ~ rreal(X1040)
| X1037 != X1038
| ~ rreal(X1038)
| X1035 != X1036
| ~ rreal(X1036)
| rless(vplus(X1035,X1039),vplus(X1037,X1039)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
cnf(c_0_191,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_192,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_184])])]) ).
cnf(c_0_193,plain,
( vf(esk2_0,vd1300) = vf(vd1300,esk2_0)
| ~ rreal(vf(esk2_0,vd1300)) ),
inference(spm,[status(thm)],[c_0_185,c_0_110]) ).
fof(c_0_194,plain,
! [X980,X981] :
( X980 != X981
| ~ rreal(X981)
| vplus(X980,v0) = X980 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
cnf(c_0_195,plain,
vf(esk1_0,vd1302) = vf(vd1302,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_71]),c_0_52]),c_0_53])]) ).
cnf(c_0_196,plain,
( vangle(esk1_0,vd1306,vd1302) = v0
| vd1306 = esk1_0
| rR(vd1287,vd1306,esk1_0)
| ~ rline(X1)
| ~ ron(vd1306,X1)
| ~ ron(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_197,plain,
~ rR(vd1287,vd1289,vd1306),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_198,plain,
( X1 = vd1302
| X2 = vd1302
| X2 = X1
| rR(vd1302,X1,X2)
| rR(X1,vd1302,X2)
| rR(X2,vd1302,X1)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_131]),c_0_100]),c_0_53])]) ).
cnf(c_0_199,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_190]) ).
cnf(c_0_200,plain,
( X1 = X2
| rless(v0,vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_201,plain,
vf(esk2_0,vd1300) = vf(vd1300,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_71]),c_0_73]),c_0_97])]) ).
cnf(c_0_202,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_203,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
cnf(c_0_204,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_205,plain,
rreal(vf(vd1302,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_195]),c_0_52]),c_0_53])]) ).
cnf(c_0_206,plain,
( vangle(esk1_0,vd1306,vd1302) = v0
| vd1306 = esk1_0
| rR(vd1287,vd1306,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_99]),c_0_100]),c_0_112])]) ).
cnf(c_0_207,plain,
~ rR(vd1287,esk1_0,vd1306),
inference(rw,[status(thm)],[c_0_197,c_0_42]) ).
cnf(c_0_208,plain,
( X1 = vd1306
| X1 = vd1302
| rR(X1,vd1302,vd1306)
| rR(vd1306,vd1302,X1)
| rR(vd1302,vd1306,X1)
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_99]),c_0_66])]),c_0_152]) ).
fof(c_0_209,plain,
! [X122,X123,X124,X125] :
( ( rless(X122,X124)
& X124 = X125
& rreal(X125)
& X122 = X123
& rreal(X123) )
=> ( ~ rless(X124,X122)
| X122 = X124 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))']) ).
cnf(c_0_210,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_199])])]) ).
cnf(c_0_211,plain,
( esk2_0 = vd1300
| rless(v0,vf(vd1300,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_73]),c_0_97])]) ).
cnf(c_0_212,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_213,plain,
rreal(vf(vd1300,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_201]),c_0_73]),c_0_97])]) ).
cnf(c_0_214,plain,
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_204]) ).
cnf(c_0_215,plain,
( X1 = esk1_0
| X2 = esk1_0
| X2 = X1
| rR(esk1_0,X1,X2)
| rR(X1,esk1_0,X2)
| rR(X2,esk1_0,X1)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_112]),c_0_100]),c_0_52])]) ).
cnf(c_0_216,plain,
( vf(vd1287,esk1_0) = X1
| vplus(vf(vd1302,esk1_0),X1) != vf(vd1287,vd1302)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_79]),c_0_80])]),c_0_205])]) ).
cnf(c_0_217,plain,
vplus(vf(vd1302,esk1_0),vf(esk1_0,vd1287)) = vf(vd1287,vd1302),
inference(rw,[status(thm)],[c_0_68,c_0_88]) ).
cnf(c_0_218,plain,
( vangle(esk1_0,vd1306,vd1302) = v0
| vd1306 = esk1_0 ),
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_49,c_0_206]),c_0_66]),c_0_51]),c_0_52])]),c_0_207]) ).
cnf(c_0_219,plain,
( esk1_0 = vd1302
| vd1306 = esk1_0
| rR(vd1302,vd1306,esk1_0)
| rR(vd1306,vd1302,esk1_0)
| rR(esk1_0,vd1302,vd1306) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_112]),c_0_52])]) ).
fof(c_0_220,plain,
! [X924,X925,X926,X927] :
( ~ rless(X924,X926)
| X926 != X927
| ~ rreal(X927)
| X924 != X925
| ~ rreal(X925)
| ~ rless(X926,X924)
| X924 = X926 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_209])]) ).
cnf(c_0_221,plain,
( esk2_0 = vd1300
| rless(vplus(v0,X1),vplus(vf(vd1300,esk2_0),X1))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]),c_0_213])]) ).
cnf(c_0_222,plain,
( vplus(v0,X1) = X1
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_77]),c_0_212])]) ).
cnf(c_0_223,plain,
( vd1306 = esk1_0
| X1 = vd1306
| X1 = esk1_0
| rR(X1,esk1_0,vd1306)
| rR(vd1306,esk1_0,X1)
| rR(esk1_0,vd1306,X1)
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_99]),c_0_66])]) ).
cnf(c_0_224,plain,
( vf(esk1_0,vd1287) = vf(vd1287,esk1_0)
| ~ rreal(vf(esk1_0,vd1287)) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_225,plain,
( vd1306 = esk1_0
| ~ rline(X1)
| ~ ron(esk1_0,X1)
| ~ ron(vd1306,X1)
| ~ rR(vd1306,esk1_0,vd1302) ),
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_170,c_0_218]),c_0_66]),c_0_52]),c_0_53])]),c_0_152]) ).
cnf(c_0_226,plain,
( vd1306 = esk1_0
| esk1_0 = vd1302
| rR(esk1_0,vd1302,vd1306)
| rR(vd1302,vd1306,esk1_0)
| rR(vd1306,esk1_0,vd1302) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_219]),c_0_53]),c_0_66]),c_0_52])]) ).
cnf(c_0_227,plain,
( X1 = X2
| ~ rless(X1,X2)
| X2 != X3
| ~ rreal(X3)
| X1 != X4
| ~ rreal(X4)
| ~ rless(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_228,plain,
( esk2_0 = vd1300
| rless(X1,vplus(vf(vd1300,esk2_0),X1))
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_229,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_210,c_0_200]),c_0_212])]),c_0_71]) ).
cnf(c_0_230,plain,
( vd1306 = esk1_0
| rR(esk1_0,vd1306,vd1287)
| rR(vd1306,esk1_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_223,c_0_104]),c_0_51])]),c_0_154]),c_0_113]),c_0_207]) ).
cnf(c_0_231,plain,
vf(esk1_0,vd1287) = vf(vd1287,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_71]),c_0_52]),c_0_51])]) ).
cnf(c_0_232,plain,
( esk1_0 = vd1302
| vd1306 = esk1_0
| rR(vd1302,vd1306,esk1_0)
| rR(esk1_0,vd1302,vd1306)
| ~ rline(X1)
| ~ ron(esk1_0,X1)
| ~ ron(vd1306,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_233,plain,
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_227])]) ).
cnf(c_0_234,plain,
( esk2_0 = vd1300
| rless(vf(vd1287,esk1_0),vf(vd1287,vd1300)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_134]),c_0_80])]) ).
cnf(c_0_235,plain,
( X1 = X2
| rless(X3,vplus(vf(X1,X2),X3))
| ~ rreal(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_229,c_0_222]) ).
cnf(c_0_236,plain,
( vplus(vf(esk1_0,vd1306),vf(vd1287,vd1300)) = vf(vd1287,esk1_0)
| vd1306 = esk1_0
| rR(esk1_0,vd1306,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_58,c_0_230]),c_0_148]),c_0_231]),c_0_52]),c_0_66]),c_0_51])]) ).
fof(c_0_237,plain,
! [X845,X846,X847,X848,X849,X850,X851,X852] :
( ~ rR(X847,X846,X848)
| ~ rR(X846,X845,X847)
| X848 != X849
| ~ rpoint(X849)
| X847 != X850
| ~ rpoint(X850)
| X846 != X851
| ~ rpoint(X851)
| X845 != X852
| ~ rpoint(X852)
| rR(X846,X845,X848) ),
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_238,plain,
( vd1306 = esk1_0
| esk1_0 = vd1302
| rR(esk1_0,vd1302,vd1306)
| rR(vd1302,vd1306,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_112]),c_0_100]),c_0_99])]) ).
cnf(c_0_239,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| esk2_0 = vd1300
| ~ rless(vf(vd1287,vd1300),vf(vd1287,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_92]),c_0_80])]) ).
cnf(c_0_240,plain,
( vd1306 = esk1_0
| rless(vf(vd1287,vd1300),vf(vd1287,esk1_0))
| rR(esk1_0,vd1306,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_92]),c_0_52]),c_0_66])]) ).
cnf(c_0_241,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_237]) ).
cnf(c_0_242,plain,
( esk1_0 = vd1302
| vd1306 = esk1_0
| rR(vd1302,vd1306,esk1_0)
| rR(esk1_0,vd1306,vd1302) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_238]),c_0_53]),c_0_52]),c_0_66])]) ).
cnf(c_0_243,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| vd1306 = esk1_0
| esk2_0 = vd1300
| rR(esk1_0,vd1306,vd1287) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_244,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X2,X4)
| ~ rR(X4,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_241])])])]) ).
cnf(c_0_245,plain,
( vd1306 = esk1_0
| esk1_0 = vd1302
| rR(vd1302,vd1306,esk1_0)
| ~ rR(esk1_0,X1,vd1306)
| ~ rR(esk1_0,X1,vd1302)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_242]),c_0_52]),c_0_66]),c_0_53])]) ).
cnf(c_0_246,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| esk2_0 = vd1300
| vd1306 = esk1_0
| rR(esk1_0,vd1287,vd1306) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_243]),c_0_66]),c_0_52]),c_0_51])]) ).
cnf(c_0_247,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_37]) ).
cnf(c_0_248,plain,
( rR(vd1306,vd1287,X1)
| ~ rR(vd1302,vd1306,X1)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_65]),c_0_51]),c_0_66]),c_0_53])]) ).
cnf(c_0_249,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| esk2_0 = vd1300
| esk1_0 = vd1302
| vd1306 = esk1_0
| rR(vd1302,vd1306,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_50]),c_0_51])]) ).
cnf(c_0_250,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_247])])]) ).
cnf(c_0_251,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_252,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| vd1306 = esk1_0
| esk1_0 = vd1302
| esk2_0 = vd1300
| rR(vd1306,vd1287,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_52])]) ).
cnf(c_0_253,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| esk2_0 = vd1300
| vd1306 = esk1_0
| ~ rR(vd1306,esk1_0,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_243]),c_0_66]),c_0_52]),c_0_51])]) ).
cnf(c_0_254,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_251])]) ).
cnf(c_0_255,plain,
( vf(vd1300,esk2_0) = v0
| vf(vd1287,esk1_0) != vf(vd1287,vd1300) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_222]),c_0_212]),c_0_80])]) ).
cnf(c_0_256,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| esk2_0 = vd1300
| esk1_0 = vd1302
| vd1306 = esk1_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_252]),c_0_51]),c_0_66]),c_0_52])]),c_0_253]) ).
cnf(c_0_257,plain,
( esk2_0 = vd1300
| vf(vd1300,esk2_0) != v0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_201]),c_0_73]),c_0_97])]) ).
cnf(c_0_258,plain,
( vd1306 = esk1_0
| esk1_0 = vd1302
| esk2_0 = vd1300 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).
cnf(c_0_259,plain,
( vf(vd1287,esk1_0) = vf(vd1287,vd1300)
| esk2_0 = vd1300
| esk1_0 = vd1302 ),
inference(spm,[status(thm)],[c_0_83,c_0_258]) ).
cnf(c_0_260,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_90,c_0_222]),c_0_212])]) ).
cnf(c_0_261,plain,
~ rR(vd1300,esk2_0,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_102]),c_0_97]),c_0_73]),c_0_51])]) ).
cnf(c_0_262,plain,
( esk1_0 = vd1302
| esk2_0 = vd1300 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_259]),c_0_257]) ).
cnf(c_0_263,plain,
( v0 = X1
| vplus(X2,X1) != X2
| ~ rreal(X1)
| ~ rreal(X2) ),
inference(spm,[status(thm)],[c_0_260,c_0_77]) ).
cnf(c_0_264,plain,
( vf(vd1287,esk1_0) = X1
| vplus(vf(vd1300,esk2_0),X1) != vf(vd1287,vd1300)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_116]),c_0_80])]),c_0_213])]) ).
cnf(c_0_265,plain,
vplus(vf(vd1300,esk2_0),vf(esk2_0,vd1287)) = vf(vd1287,vd1300),
inference(rw,[status(thm)],[c_0_109,c_0_125]) ).
cnf(c_0_266,plain,
( esk1_0 = vd1302
| ~ rR(vd1300,vd1300,vd1287) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_267,plain,
( vf(vd1306,vd1302) = v0
| vf(vd1287,vd1300) != vf(vd1287,vd1302)
| ~ rreal(vf(vd1306,vd1302)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_108]),c_0_92])]) ).
cnf(c_0_268,plain,
vf(vd1302,vd1306) != v0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_118]),c_0_66]),c_0_53])]),c_0_152]) ).
cnf(c_0_269,plain,
( vf(esk2_0,vd1287) = vf(vd1287,esk1_0)
| ~ rreal(vf(esk2_0,vd1287)) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_270,plain,
esk1_0 = vd1302,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_262]),c_0_266]) ).
cnf(c_0_271,plain,
vf(vd1287,vd1300) != vf(vd1287,vd1302),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_118]),c_0_118]),c_0_123])]),c_0_268]) ).
cnf(c_0_272,plain,
~ rR(vd1302,vd1306,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_74]),c_0_53]),c_0_66]),c_0_51])]) ).
cnf(c_0_273,plain,
vf(esk2_0,vd1287) = vf(vd1287,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_71]),c_0_73]),c_0_51])]) ).
cnf(c_0_274,plain,
esk2_0 = vd1300,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_270]),c_0_270]),c_0_270]),c_0_271]),c_0_152]),c_0_272]) ).
cnf(c_0_275,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_270]),c_0_274]),c_0_125]),c_0_271]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15 % Problem : GEO313+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.16 % Command : run_E %s %d THM
% 0.17/0.37 % Computer : n008.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 2400
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Tue Oct 3 07:04:13 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.54 Running first-order theorem proving
% 0.23/0.54 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.RdU5DUEKxb/E---3.1_2366.p
% 591.05/74.96 # Version: 3.1pre001
% 591.05/74.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 591.05/74.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 591.05/74.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 591.05/74.96 # Starting new_bool_3 with 300s (1) cores
% 591.05/74.96 # Starting new_bool_1 with 300s (1) cores
% 591.05/74.96 # Starting sh5l with 300s (1) cores
% 591.05/74.96 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2510 completed with status 0
% 591.05/74.96 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 591.05/74.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 591.05/74.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 591.05/74.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 591.05/74.96 # No SInE strategy applied
% 591.05/74.96 # Search class: FGHSF-FSLM33-SFFFFFNN
% 591.05/74.96 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 591.05/74.96 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 591.05/74.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 591.05/74.96 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 591.05/74.96 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 591.05/74.96 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 591.05/74.96 # G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 2539 completed with status 0
% 591.05/74.96 # Result found by G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 591.05/74.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 591.05/74.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 591.05/74.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 591.05/74.96 # No SInE strategy applied
% 591.05/74.96 # Search class: FGHSF-FSLM33-SFFFFFNN
% 591.05/74.96 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 591.05/74.96 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 591.05/74.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 591.05/74.96 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 591.05/74.96 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 591.05/74.96 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 591.05/74.96 # Preprocessing time : 0.022 s
% 591.05/74.96 # Presaturation interreduction done
% 591.05/74.96
% 591.05/74.96 # Proof found!
% 591.05/74.96 # SZS status Theorem
% 591.05/74.96 # SZS output start CNFRefutation
% See solution above
% 591.05/74.96 # Parsed axioms : 153
% 591.05/74.96 # Removed by relevancy pruning/SinE : 0
% 591.05/74.96 # Initial clauses : 320
% 591.05/74.96 # Removed in clause preprocessing : 2
% 591.05/74.96 # Initial clauses in saturation : 318
% 591.05/74.96 # Processed clauses : 30848
% 591.05/74.96 # ...of these trivial : 302
% 591.05/74.96 # ...subsumed : 10519
% 591.05/74.96 # ...remaining for further processing : 20026
% 591.05/74.96 # Other redundant clauses eliminated : 1184
% 591.05/74.96 # Clauses deleted for lack of memory : 15378
% 591.05/74.96 # Backward-subsumed : 770
% 591.05/74.96 # Backward-rewritten : 7000
% 591.05/74.96 # Generated clauses : 1536756
% 591.05/74.96 # ...of the previous two non-redundant : 1507960
% 591.05/74.96 # ...aggressively subsumed : 0
% 591.05/74.96 # Contextual simplify-reflections : 1294
% 591.05/74.96 # Paramodulations : 1535516
% 591.05/74.96 # Factorizations : 54
% 591.05/74.96 # NegExts : 0
% 591.05/74.96 # Equation resolutions : 1621
% 591.05/74.96 # Total rewrite steps : 2096558
% 591.05/74.96 # Propositional unsat checks : 0
% 591.05/74.96 # Propositional check models : 0
% 591.05/74.96 # Propositional check unsatisfiable : 0
% 591.05/74.96 # Propositional clauses : 0
% 591.05/74.96 # Propositional clauses after purity: 0
% 591.05/74.96 # Propositional unsat core size : 0
% 591.05/74.96 # Propositional preprocessing time : 0.000
% 591.05/74.96 # Propositional encoding time : 0.000
% 591.05/74.96 # Propositional solver time : 0.000
% 591.05/74.96 # Success case prop preproc time : 0.000
% 591.05/74.96 # Success case prop encoding time : 0.000
% 591.05/74.96 # Success case prop solver time : 0.000
% 591.05/74.96 # Current number of processed clauses : 11326
% 591.05/74.96 # Positive orientable unit clauses : 4137
% 591.05/74.96 # Positive unorientable unit clauses: 0
% 591.05/74.96 # Negative unit clauses : 498
% 591.05/74.96 # Non-unit-clauses : 6691
% 591.05/74.96 # Current number of unprocessed clauses: 765408
% 591.05/74.96 # ...number of literals in the above : 5076453
% 591.05/74.96 # Current number of archived formulas : 0
% 591.05/74.96 # Current number of archived clauses : 8349
% 591.05/74.96 # Clause-clause subsumption calls (NU) : 25010421
% 591.05/74.96 # Rec. Clause-clause subsumption calls : 3579041
% 591.05/74.96 # Non-unit clause-clause subsumptions : 12316
% 591.05/74.96 # Unit Clause-clause subsumption calls : 1430566
% 591.05/74.96 # Rewrite failures with RHS unbound : 0
% 591.05/74.96 # BW rewrite match attempts : 637344
% 591.05/74.96 # BW rewrite match successes : 191
% 591.05/74.96 # Condensation attempts : 0
% 591.05/74.96 # Condensation successes : 0
% 591.05/74.96 # Termbank termtop insertions : 87396519
% 591.05/74.96
% 591.05/74.96 # -------------------------------------------------
% 591.05/74.96 # User time : 72.164 s
% 591.05/74.96 # System time : 1.574 s
% 591.05/74.96 # Total time : 73.738 s
% 591.05/74.96 # Maximum resident set size: 4580 pages
% 591.05/74.96
% 591.05/74.96 # -------------------------------------------------
% 591.05/74.96 # User time : 361.395 s
% 591.05/74.96 # System time : 6.422 s
% 591.05/74.96 # Total time : 367.817 s
% 591.05/74.96 # Maximum resident set size: 2564 pages
% 591.05/74.96 % E---3.1 exiting
% 591.05/74.96 % E---3.1 exiting
%------------------------------------------------------------------------------