TSTP Solution File: GEO319+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO319+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:47:46 EDT 2023
% Result : Theorem 111.72s 111.77s
% Output : CNFRefutation 111.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 122
% Syntax : Number of formulae : 289 ( 60 unt; 91 typ; 0 def)
% Number of atoms : 908 ( 327 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 1255 ( 545 ~; 550 |; 138 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 279 ( 73 >; 206 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 77 ( 77 usr; 18 con; 0-18 aty)
% Number of variables : 450 ( 0 sgn; 159 !; 39 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1329: $i ).
tff(decl_23,type,
vd1302: $i ).
tff(decl_24,type,
vd1287: $i ).
tff(decl_25,type,
vd1295: $i ).
tff(decl_26,type,
ron: ( $i * $i ) > $o ).
tff(decl_27,type,
vd1299: $i ).
tff(decl_28,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
rpoint: $i > $o ).
tff(decl_30,type,
vd1300: $i ).
tff(decl_31,type,
vf: ( $i * $i ) > $i ).
tff(decl_32,type,
vd1303: $i ).
tff(decl_33,type,
vd1289: $i ).
tff(decl_34,type,
vd1288: $i ).
tff(decl_35,type,
rline: $i > $o ).
tff(decl_36,type,
vd1297: $i ).
tff(decl_37,type,
rless: ( $i * $i ) > $o ).
tff(decl_38,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
vplus: ( $i * $i ) > $i ).
tff(decl_40,type,
vskolem1306: $i ).
tff(decl_41,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
v0: $i ).
tff(decl_43,type,
rreal: $i > $o ).
tff(decl_44,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_45,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_46,type,
rinside: ( $i * $i ) > $o ).
tff(decl_47,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_48,type,
rcircle: $i > $o ).
tff(decl_49,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
vd684: $i ).
tff(decl_51,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
vd14: $i ).
tff(decl_53,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
rtriangle: $i > $o ).
tff(decl_55,type,
vperp: $i ).
tff(decl_56,type,
rleq: ( $i * $i ) > $o ).
tff(decl_57,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_59,type,
esk1_0: $i ).
tff(decl_60,type,
esk2_0: $i ).
tff(decl_61,type,
esk3_0: $i ).
tff(decl_62,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk5_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk11_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk13_1: $i > $i ).
tff(decl_72,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk17_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk25_1: $i > $i ).
tff(decl_84,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk28_1: $i > $i ).
tff(decl_87,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk30_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk31_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk34_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk35_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk41_1: $i > $i ).
tff(decl_100,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk45_1: $i > $i ).
tff(decl_104,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk51_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
esk52_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
esk53_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_112,type,
esk54_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X64,X65] :
( ( ? [X66] :
( X65 = X66
& rpoint(X66) )
& ? [X67] :
( X64 = X67
& rpoint(X67) ) )
=> ? [X68] :
( vf(X64,X65) = X68
& rreal(X68) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X199,X200,X201] :
( ( rR(X200,X199,X201)
& ? [X202] :
( X201 = X202
& rpoint(X202) )
& ? [X203] :
( X200 = X203
& rpoint(X203) )
& ? [X204] :
( X199 = X204
& rpoint(X204) ) )
=> vplus(vf(X199,X200),vf(X200,X201)) = vf(X199,X201) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X60,X61] :
( ( ? [X62] :
( X61 = X62
& rpoint(X62) )
& ? [X63] :
( X60 = X63
& rpoint(X63) ) )
=> vf(X60,X61) = vf(X61,X60) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X181,X182,X183,X184] :
( ( X183 = X184
& rreal(X184)
& X181 = X182
& rreal(X182) )
=> vplus(X181,X183) = vplus(X183,X181) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X7] :
( vd1289 = X7
& rpoint(X7) )
& ? [X8] :
( vd1288 = X8
& rpoint(X8) )
& ? [X9] :
( vd1287 = X9
& rpoint(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X1,X2,X3] :
( ( rR(X2,X1,X3)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) ) )
=> ( ~ rR(X1,X2,X3)
& X1 != X3
& X1 != X2
& rR(X2,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('ass(cond(156, 0), 0)',axiom,
! [X171,X172,X173,X174,X175,X176] :
( ( vplus(X171,X175) = vplus(X173,X175)
& X175 = X176
& rreal(X176)
& X173 = X174
& rreal(X174)
& X171 = X172
& rreal(X172) )
=> X171 = X173 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(156, 0), 0)') ).
fof('pred(348, 1)',axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 1)') ).
fof('pred(348, 4)',axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 4)') ).
fof('qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))',axiom,
! [X420,X421,X422,X423] :
( ( rR(X423,X420,X421)
& rR(X421,X420,X422)
& ? [X424] :
( X423 = X424
& rpoint(X424) )
& ? [X425] :
( X422 = X425
& rpoint(X425) )
& ? [X426] :
( X421 = X426
& rpoint(X426) )
& ? [X427] :
( X420 = X427
& rpoint(X427) ) )
=> rR(X423,X420,X422) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof('holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)',conjecture,
vd1329 != vd1302,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)') ).
fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('holds(conjunct1(367), 1330, 0)',axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(367), 1330, 0)') ).
fof('pred(367, 0)',axiom,
rpoint(vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(367, 0)') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X69,X70] :
( ( X69 = X70
& rreal(X70) )
=> ~ rless(X69,X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X224,X225,X226,X227,X228,X229] :
( ( rless(X224,X226)
& X228 = X229
& rreal(X229)
& X226 = X227
& rreal(X227)
& X224 = X225
& rreal(X225) )
=> rless(vplus(X224,X228),vplus(X226,X228)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X185,X186] :
( ( X185 = X186
& rreal(X186) )
=> vplus(X185,v0) = X185 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X146,X147] :
( ( X146 != X147
& ? [X148] :
( X147 = X148
& rpoint(X148) )
& ? [X149] :
( X146 = X149
& rpoint(X149) ) )
=> ? [X150] :
( ron(X147,X150)
& rcenter(X146,X150)
& rcircle(X150) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))',axiom,
! [X240,X241,X242,X243] :
( ( X242 = X243
& rreal(X243)
& X240 = X241
& rreal(X241) )
=> ? [X244] :
( vplus(X240,X242) = X244
& rreal(X244) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X97,X98,X99,X100] :
( ( ron(X98,X100)
& rcenter(X99,X100)
& ? [X101] :
( X98 = X101
& rpoint(X101) )
& ? [X102] :
( X97 = X102
& rpoint(X102) ) )
=> ( rless(vf(X99,X97),vf(X99,X98))
<=> rinside(X97,X100) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X205,X206] :
( rcenter(X205,X206)
=> rinside(X205,X206) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X187,X188,X189,X190,X191] :
( ( X190 = X191
& ron(X189,X190)
& ron(X188,X190)
& ron(X187,X190)
& rline(X191)
& X188 != X189
& X187 != X189
& X187 != X188
& ? [X192] :
( X189 = X192
& rpoint(X192) )
& ? [X193] :
( X188 = X193
& rpoint(X193) )
& ? [X194] :
( X187 = X194
& rpoint(X194) ) )
=> ( rR(X188,X187,X189)
| rR(X187,X188,X189)
| rR(X189,X187,X188) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))',axiom,
! [X10,X11,X12,X13,X14] :
( ( X13 = X14
& ron(X12,X13)
& ron(X10,X13)
& rR(X11,X10,X12)
& rline(X14)
& ? [X15] :
( X12 = X15
& rpoint(X15) )
& ? [X16] :
( X11 = X16
& rpoint(X16) )
& ? [X17] :
( X10 = X17
& rpoint(X17) ) )
=> ron(X11,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X109,X110] :
( ( ? [X111] :
( X110 = X111
& rpoint(X111) )
& ? [X112] :
( X109 = X112
& rpoint(X112) ) )
=> ( vf(X109,X110) = v0
<=> X109 = X110 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))',axiom,
! [X77,X78,X79,X80] :
( ( rR(X79,X78,X80)
& rR(X78,X77,X79)
& ? [X81] :
( X80 = X81
& rpoint(X81) )
& ? [X82] :
( X79 = X82
& rpoint(X82) )
& ? [X83] :
( X78 = X83
& rpoint(X83) )
& ? [X84] :
( X77 = X84
& rpoint(X84) ) )
=> rR(X78,X77,X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof('pred(s2(plural(346)), 0)',axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof('pred(346, 0)',axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 0)') ).
fof('pred(conjunct1(368), 0)',axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(368), 0)') ).
fof('pred(s1(plural(346)), 0)',axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(346)), 0)') ).
fof(c_0_31,plain,
! [X866,X867,X868,X869] :
( ( vf(X866,X867) = esk8_2(X866,X867)
| X867 != X868
| ~ rpoint(X868)
| X866 != X869
| ~ rpoint(X869) )
& ( rreal(esk8_2(X866,X867))
| X867 != X868
| ~ rpoint(X868)
| X866 != X869
| ~ rpoint(X869) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).
fof(c_0_32,plain,
! [X1015,X1016,X1017,X1018,X1019,X1020] :
( ~ rR(X1016,X1015,X1017)
| X1017 != X1018
| ~ rpoint(X1018)
| X1016 != X1019
| ~ rpoint(X1019)
| X1015 != X1020
| ~ rpoint(X1020)
| vplus(vf(X1015,X1016),vf(X1016,X1017)) = vf(X1015,X1017) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])]) ).
fof(c_0_33,plain,
! [X862,X863,X864,X865] :
( X863 != X864
| ~ rpoint(X864)
| X862 != X865
| ~ rpoint(X865)
| vf(X862,X863) = vf(X863,X862) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])]) ).
fof(c_0_34,plain,
! [X989,X990,X991,X992] :
( X991 != X992
| ~ rreal(X992)
| X989 != X990
| ~ rreal(X990)
| vplus(X989,X991) = vplus(X991,X989) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
cnf(c_0_35,plain,
( rreal(esk8_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
( vf(X1,X2) = esk8_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,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_32]) ).
cnf(c_0_38,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_39,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)))))))))'])]) ).
cnf(c_0_40,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( rreal(esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_35])]) ).
cnf(c_0_42,plain,
( esk8_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]) ).
cnf(c_0_43,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_37])])]) ).
cnf(c_0_44,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).
cnf(c_0_45,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
vd1288 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
vd1287 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_49,plain,
! [X1,X2,X3] :
( ( rR(X2,X1,X3)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) ) )
=> ( ~ rR(X1,X2,X3)
& X1 != X3
& X1 != X2
& rR(X2,X3,X1) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(c_0_50,plain,
! [X979,X980,X981,X982,X983,X984] :
( vplus(X979,X983) != vplus(X981,X983)
| X983 != X984
| ~ rreal(X984)
| X981 != X982
| ~ rreal(X982)
| X979 != X980
| ~ rreal(X980)
| X979 = X981 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).
cnf(c_0_51,plain,
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).
cnf(c_0_52,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_53,plain,
( vplus(vf(X1,X2),vf(X3,X2)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,plain,
rpoint(vd1288),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_57,plain,
! [X761,X762,X763,X764,X765,X766] :
( ( ~ rR(X761,X762,X763)
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) )
& ( X761 != X763
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) )
& ( X761 != X762
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) )
& ( rR(X762,X763,X761)
| ~ rR(X762,X761,X763)
| X763 != X764
| ~ rpoint(X764)
| X762 != X765
| ~ rpoint(X765)
| X761 != X766
| ~ rpoint(X766) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
cnf(c_0_58,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_50]) ).
cnf(c_0_59,plain,
( vplus(vf(X1,X2),vf(X3,X1)) = vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_52]),c_0_52]) ).
cnf(c_0_60,plain,
( vplus(vf(X1,vd1288),vf(vd1287,vd1289)) = vf(X1,vd1287)
| ~ rpoint(X1)
| ~ rR(vd1288,X1,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_61,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_57]) ).
cnf(c_0_62,plain,
rpoint(vd1300),
inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).
cnf(c_0_63,plain,
vd1299 = vd1300,
inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).
fof(c_0_64,plain,
! [X1236,X1237,X1238,X1239,X1240,X1241,X1242,X1243] :
( ~ rR(X1239,X1236,X1237)
| ~ rR(X1237,X1236,X1238)
| X1239 != X1240
| ~ rpoint(X1240)
| X1238 != X1241
| ~ rpoint(X1241)
| X1237 != X1242
| ~ rpoint(X1242)
| X1236 != X1243
| ~ rpoint(X1243)
| rR(X1239,X1236,X1238) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))'])])]) ).
fof(c_0_65,negated_conjecture,
vd1329 = vd1302,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)'])]) ).
cnf(c_0_66,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_58])])]) ).
cnf(c_0_67,plain,
( vplus(vf(vd1288,X1),vf(vd1287,vd1289)) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_56]),c_0_55])]) ).
cnf(c_0_68,plain,
( vplus(vf(vd1288,X1),vf(vd1287,vd1289)) = vf(X1,vd1287)
| ~ rpoint(X1)
| ~ rR(vd1288,X1,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_44]),c_0_55])]) ).
cnf(c_0_69,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_61])])]) ).
cnf(c_0_70,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_71,plain,
rpoint(vd1299),
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_72,plain,
( rR(X1,X2,X4)
| ~ rR(X1,X2,X3)
| ~ rR(X3,X2,X4)
| X1 != X5
| ~ rpoint(X5)
| X4 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X2 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
rR(vd1329,vd1287,vd1299),
inference(split_conjunct,[status(thm)],['holds(conjunct1(367), 1330, 0)']) ).
cnf(c_0_74,negated_conjecture,
vd1329 = vd1302,
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
rpoint(vd1329),
inference(split_conjunct,[status(thm)],['pred(367, 0)']) ).
fof(c_0_76,plain,
! [X69,X70] :
( ( X69 = X70
& rreal(X70) )
=> ~ rless(X69,X69) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_77,plain,
! [X1040,X1041,X1042,X1043,X1044,X1045] :
( ~ rless(X1040,X1042)
| X1044 != X1045
| ~ rreal(X1045)
| X1042 != X1043
| ~ rreal(X1043)
| X1040 != X1041
| ~ rreal(X1041)
| rless(vplus(X1040,X1044),vplus(X1042,X1044)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
fof(c_0_78,plain,
! [X993,X994] :
( X993 != X994
| ~ rreal(X994)
| vplus(X993,v0) = X993 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
cnf(c_0_79,plain,
( X1 = vf(X2,X3)
| vplus(X1,vf(X3,X4)) != vf(X2,X4)
| ~ rreal(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rR(X3,X2,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_52]),c_0_52]) ).
cnf(c_0_80,plain,
( vplus(vf(X1,X2),vf(X1,X3)) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rR(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_81,plain,
( vf(X1,vd1287) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1287,X1)
| ~ rR(vd1288,X1,vd1287) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_82,plain,
rR(vd1288,vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_56]),c_0_55]),c_0_71])]) ).
cnf(c_0_83,plain,
( rR(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rR(X4,X2,X3)
| ~ rR(X1,X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_72])])])]) ).
cnf(c_0_84,plain,
rR(vd1302,vd1287,vd1299),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_75,c_0_74]) ).
cnf(c_0_86,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_87,plain,
vd1289 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_88,plain,
! [X871,X872] :
( X871 != X872
| ~ rreal(X872)
| ~ rless(X871,X871) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])]) ).
cnf(c_0_89,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_77]) ).
cnf(c_0_90,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_92,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
fof(c_0_93,plain,
! [X948,X949,X950,X951] :
( ( ron(X949,esk12_2(X948,X949))
| X948 = X949
| X949 != X950
| ~ rpoint(X950)
| X948 != X951
| ~ rpoint(X951) )
& ( rcenter(X948,esk12_2(X948,X949))
| X948 = X949
| X949 != X950
| ~ rpoint(X950)
| X948 != X951
| ~ rpoint(X951) )
& ( rcircle(esk12_2(X948,X949))
| X948 = X949
| X949 != X950
| ~ rpoint(X950)
| X948 != X951
| ~ rpoint(X951) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))'])])])])]) ).
cnf(c_0_94,plain,
( vf(X1,X2) = vf(X3,X1)
| vf(X2,X4) != vf(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rR(X1,X3,X4)
| ~ rR(X1,X2,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_52]) ).
cnf(c_0_95,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_81,c_0_70]),c_0_71]),c_0_82])]) ).
cnf(c_0_96,plain,
( rR(X1,vd1287,vd1299)
| ~ rpoint(X1)
| ~ rR(X1,vd1287,vd1302) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_56]),c_0_85]),c_0_71])]) ).
cnf(c_0_97,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_98,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_99,plain,
! [X1056,X1057,X1058,X1059] :
( ( vplus(X1056,X1058) = esk14_3(X1056,X1057,X1058)
| X1058 != X1059
| ~ rreal(X1059)
| X1056 != X1057
| ~ rreal(X1057) )
& ( rreal(esk14_3(X1056,X1057,X1058))
| X1058 != X1059
| ~ rreal(X1059)
| X1056 != X1057
| ~ rreal(X1057) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))'])])])])])]) ).
cnf(c_0_100,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_101,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_89])])]) ).
cnf(c_0_102,plain,
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_103,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
fof(c_0_104,plain,
! [X899,X900,X901,X902,X903,X904] :
( ( ~ rless(vf(X901,X899),vf(X901,X900))
| rinside(X899,X902)
| ~ ron(X900,X902)
| ~ rcenter(X901,X902)
| X900 != X903
| ~ rpoint(X903)
| X899 != X904
| ~ rpoint(X904) )
& ( ~ rinside(X899,X902)
| rless(vf(X901,X899),vf(X901,X900))
| ~ ron(X900,X902)
| ~ rcenter(X901,X902)
| X900 != X903
| ~ rpoint(X903)
| X899 != X904
| ~ rpoint(X904) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).
fof(c_0_105,plain,
! [X1021,X1022] :
( ~ rcenter(X1021,X1022)
| rinside(X1021,X1022) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_106,plain,
( rcenter(X1,esk12_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_107,plain,
( X1 = X2
| vplus(X1,X3) != vplus(X3,X2)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_51]) ).
cnf(c_0_108,plain,
( vf(vd1288,X1) = vf(vd1299,vd1288)
| vf(X1,vd1287) != vf(vd1287,vd1299)
| ~ rpoint(X1)
| ~ rR(vd1288,X1,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_82]),c_0_95]),c_0_71]),c_0_55]),c_0_56])]) ).
cnf(c_0_109,plain,
rR(vd1289,vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).
cnf(c_0_110,plain,
( rreal(esk14_3(X1,X2,X3))
| X3 != X4
| ~ rreal(X4)
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_111,plain,
( vplus(X1,X2) = esk14_3(X1,X3,X2)
| X2 != X4
| ~ rreal(X4)
| X1 != X3
| ~ rreal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_112,plain,
( vf(vd1289,X1) = vf(vd1287,vd1289)
| vf(X1,vd1302) != vf(vd1287,vd1302)
| ~ rpoint(X1)
| ~ rR(vd1289,X1,vd1302) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_97]),c_0_56]),c_0_98]),c_0_85])]) ).
cnf(c_0_113,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_114,plain,
( rless(X1,vplus(X2,v0))
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_115,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_104]) ).
cnf(c_0_116,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_117,plain,
( X1 = X2
| rcenter(X1,esk12_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_106])]) ).
cnf(c_0_118,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_51]) ).
cnf(c_0_119,plain,
( vplus(vf(vd1287,vd1289),vf(vd1288,X1)) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_54]),c_0_56]),c_0_55])]) ).
cnf(c_0_120,plain,
vf(vd1288,vd1299) = vf(vd1299,vd1288),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_82]),c_0_95]),c_0_71])]) ).
cnf(c_0_121,plain,
rR(vd1289,vd1299,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_109]),c_0_56]),c_0_98]),c_0_71])]) ).
cnf(c_0_122,plain,
( rreal(esk14_3(X1,X1,X2))
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_110])]) ).
cnf(c_0_123,plain,
( esk14_3(X1,X1,X2) = vplus(X1,X2)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_111])]) ).
cnf(c_0_124,plain,
( vplus(vf(X1,X2),vf(X3,X2)) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rR(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_44]) ).
cnf(c_0_125,plain,
vf(vd1289,vd1287) = vf(vd1287,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_97]),c_0_56])]) ).
cnf(c_0_126,plain,
( ~ rreal(vplus(X1,v0))
| ~ rreal(X1)
| ~ rless(vplus(X1,v0),X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_127,plain,
( rless(vplus(X1,X2),vplus(X2,X3))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3) ),
inference(spm,[status(thm)],[c_0_101,c_0_51]) ).
cnf(c_0_128,plain,
rreal(vf(vd1287,vd1289)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_56]),c_0_55])]) ).
cnf(c_0_129,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_115])]) ).
cnf(c_0_130,plain,
( X1 = X2
| rinside(X1,esk12_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_131,plain,
( X1 = vf(X2,X3)
| vplus(vf(X4,X2),X1) != vf(X4,X3)
| ~ rreal(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X4,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_43]),c_0_52]),c_0_52]) ).
cnf(c_0_132,plain,
vplus(vf(vd1287,vd1289),vf(vd1299,vd1288)) = vf(vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_71]),c_0_70])]) ).
cnf(c_0_133,plain,
rreal(vf(vd1299,vd1288)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_120]),c_0_55]),c_0_71])]) ).
cnf(c_0_134,plain,
( vf(vd1289,X1) = vf(vd1299,vd1289)
| vf(X1,vd1287) != vf(vd1287,vd1299)
| ~ rpoint(X1)
| ~ rR(vd1289,X1,vd1287) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_121]),c_0_95]),c_0_71]),c_0_98]),c_0_56])]) ).
cnf(c_0_135,plain,
( rreal(vplus(X1,X2))
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_136,plain,
( vplus(vf(vd1287,vd1289),vf(X1,vd1287)) = vf(X1,vd1289)
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_56]),c_0_98])]) ).
fof(c_0_137,plain,
! [X995,X996,X997,X998,X999,X1000,X1001,X1002] :
( X998 != X999
| ~ ron(X997,X998)
| ~ ron(X996,X998)
| ~ ron(X995,X998)
| ~ rline(X999)
| X996 = X997
| X995 = X997
| X995 = X996
| X997 != X1000
| ~ rpoint(X1000)
| X996 != X1001
| ~ rpoint(X1001)
| X995 != X1002
| ~ rpoint(X1002)
| rR(X996,X995,X997)
| rR(X995,X996,X997)
| rR(X997,X995,X996) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))'])])]) ).
fof(c_0_138,plain,
! [X770,X771,X772,X773,X774,X775,X776,X777] :
( X773 != X774
| ~ ron(X772,X773)
| ~ ron(X770,X773)
| ~ rR(X771,X770,X772)
| ~ rline(X774)
| X772 != X775
| ~ rpoint(X775)
| X771 != X776
| ~ rpoint(X776)
| X770 != X777
| ~ rpoint(X777)
| ron(X771,X773) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))'])])]) ).
cnf(c_0_139,plain,
( ~ rreal(vplus(v0,X1))
| ~ rreal(X1)
| ~ rless(vplus(v0,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_51]),c_0_103])]) ).
cnf(c_0_140,plain,
( rless(vplus(X1,vf(vd1287,vd1289)),vf(vd1287,X2))
| ~ rreal(vf(vd1288,X2))
| ~ rreal(X1)
| ~ rless(X1,vf(vd1288,X2))
| ~ rpoint(X2)
| ~ rR(vd1288,vd1287,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_119]),c_0_128])]) ).
cnf(c_0_141,plain,
( X1 = X2
| rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,esk12_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ ron(X4,esk12_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_142,plain,
( ron(X1,esk12_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
fof(c_0_143,plain,
! [X911,X912,X913,X914] :
( ( vf(X911,X912) != v0
| X911 = X912
| X912 != X913
| ~ rpoint(X913)
| X911 != X914
| ~ rpoint(X914) )
& ( X911 != X912
| vf(X911,X912) = v0
| X912 != X913
| ~ rpoint(X913)
| X911 != X914
| ~ rpoint(X914) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])]) ).
cnf(c_0_144,plain,
( vplus(v0,X1) = X1
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_51]),c_0_103])]) ).
cnf(c_0_145,plain,
( vf(vd1289,X1) = vf(vd1299,vd1288)
| vf(vd1287,vd1299) != vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1289,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_56]),c_0_98])]) ).
cnf(c_0_146,plain,
vf(vd1289,vd1299) = vf(vd1299,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_121]),c_0_95]),c_0_71])]) ).
cnf(c_0_147,plain,
( rreal(vf(X1,vd1289))
| ~ rreal(vf(X1,vd1287))
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_128])]) ).
cnf(c_0_148,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_137]) ).
cnf(c_0_149,plain,
( ron(X5,X1)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X5,X4,X3)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_150,plain,
( ~ rreal(vplus(v0,vf(vd1287,vd1289)))
| ~ rreal(vf(vd1288,vd1289))
| ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_128]),c_0_103]),c_0_98])]) ).
cnf(c_0_151,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ ron(X3,esk12_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_141,c_0_117]) ).
cnf(c_0_152,plain,
( X1 = X2
| ron(X1,esk12_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_142])]) ).
cnf(c_0_153,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_154,plain,
( X1 = v0
| vplus(X1,X2) != X2
| ~ rreal(X1)
| ~ rreal(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_144]),c_0_103])]) ).
cnf(c_0_155,plain,
vf(vd1299,vd1288) = vf(vd1299,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_109]),c_0_146]),c_0_71])]) ).
cnf(c_0_156,plain,
( rreal(vf(vd1289,X1))
| ~ rreal(vf(X1,vd1287))
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_44]),c_0_98])]) ).
fof(c_0_157,plain,
! [X879,X880,X881,X882,X883,X884,X885,X886] :
( ~ rR(X881,X880,X882)
| ~ rR(X880,X879,X881)
| X882 != X883
| ~ rpoint(X883)
| X881 != X884
| ~ rpoint(X884)
| X880 != X885
| ~ rpoint(X885)
| X879 != X886
| ~ rpoint(X886)
| rR(X880,X879,X882) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))'])])]) ).
cnf(c_0_158,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_148])])])]) ).
cnf(c_0_159,plain,
ron(vd1288,vd1295),
inference(split_conjunct,[status(thm)],['pred(s2(plural(346)), 0)']) ).
cnf(c_0_160,plain,
rline(vd1295),
inference(split_conjunct,[status(thm)],['pred(346, 0)']) ).
cnf(c_0_161,plain,
( ron(X1,X2)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rR(X1,X3,X4)
| ~ ron(X3,X2)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_149])])])]) ).
cnf(c_0_162,plain,
ron(vd1329,vd1295),
inference(split_conjunct,[status(thm)],['pred(conjunct1(368), 0)']) ).
cnf(c_0_163,plain,
( ~ rreal(vf(vd1288,vd1289))
| ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_144]),c_0_128])]) ).
cnf(c_0_164,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_165,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_153])])]) ).
cnf(c_0_166,plain,
( X1 = v0
| vplus(X2,X1) != X2
| ~ rreal(X1)
| ~ rreal(X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_51]) ).
cnf(c_0_167,plain,
( vplus(vf(vd1299,vd1289),vf(vd1288,X1)) = vf(vd1299,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1299,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_155]),c_0_71]),c_0_55])]) ).
cnf(c_0_168,plain,
rreal(vf(vd1299,vd1289)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_146]),c_0_98]),c_0_71])]) ).
cnf(c_0_169,plain,
( rreal(vf(vd1289,X1))
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_52]),c_0_56])]) ).
cnf(c_0_170,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_157]) ).
cnf(c_0_171,plain,
( X1 = vd1288
| X2 = vd1288
| X2 = X1
| rR(vd1288,X1,X2)
| rR(X1,vd1288,X2)
| rR(X2,vd1288,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_55])]) ).
cnf(c_0_172,plain,
ron(vd1287,vd1295),
inference(split_conjunct,[status(thm)],['pred(s1(plural(346)), 0)']) ).
cnf(c_0_173,plain,
vd1287 != vd1288,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_174,plain,
( ron(vd1289,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1302,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_97]),c_0_56]),c_0_98]),c_0_85])]) ).
cnf(c_0_175,plain,
ron(vd1302,vd1295),
inference(rw,[status(thm)],[c_0_162,c_0_74]) ).
cnf(c_0_176,plain,
( ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_52]),c_0_55]),c_0_98])]) ).
cnf(c_0_177,plain,
( X1 = X2
| rless(v0,vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_178,plain,
vd1288 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_179,plain,
( X1 = vf(X2,X3)
| vplus(X1,vf(X4,X2)) != vf(X4,X3)
| ~ rreal(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X4,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_43]),c_0_52]),c_0_52]) ).
cnf(c_0_180,plain,
( vf(vd1288,X1) = v0
| vf(vd1299,X1) != vf(vd1299,vd1289)
| ~ rreal(vf(vd1288,X1))
| ~ rpoint(X1)
| ~ rR(vd1288,vd1299,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]) ).
cnf(c_0_181,plain,
( rreal(vf(X1,vd1289))
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_44]),c_0_98])]) ).
cnf(c_0_182,plain,
( rR(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X1,X2,X4)
| ~ rR(X4,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_170])])])]) ).
cnf(c_0_183,plain,
( X1 = vd1287
| X1 = vd1288
| rR(X1,vd1288,vd1287)
| rR(vd1287,vd1288,X1)
| rR(vd1288,vd1287,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1295) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_56])]),c_0_173]) ).
cnf(c_0_184,plain,
ron(vd1289,vd1295),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_160]),c_0_172]),c_0_175])]) ).
cnf(c_0_185,plain,
vd1287 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_186,plain,
~ rR(vd1288,vd1287,vd1289),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_55]),c_0_98])]),c_0_178]) ).
cnf(c_0_187,plain,
( vf(vd1288,X1) = vf(vd1287,vd1289)
| vf(vd1299,X1) != vf(vd1287,vd1299)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1299,X1) ),
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_132]),c_0_128]),c_0_71]),c_0_55])]) ).
cnf(c_0_188,plain,
( vf(vd1288,vd1289) = v0
| ~ rR(vd1288,vd1299,vd1289)
| ~ rR(vd1287,vd1288,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_98]),c_0_55])]) ).
cnf(c_0_189,plain,
( rR(vd1288,vd1299,X1)
| ~ rpoint(X1)
| ~ rR(vd1287,vd1288,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_82]),c_0_71]),c_0_55]),c_0_56])]) ).
cnf(c_0_190,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_191,plain,
( vf(X1,X2) = v0
| vf(X1,X3) != vf(X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_43]),c_0_52]),c_0_52]) ).
cnf(c_0_192,plain,
( rR(vd1287,vd1288,vd1289)
| rR(vd1289,vd1288,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_183,c_0_184]),c_0_98])]),c_0_185]),c_0_178]),c_0_186]) ).
cnf(c_0_193,plain,
vf(vd1288,vd1287) = vf(vd1287,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_82]),c_0_95]),c_0_56])]) ).
cnf(c_0_194,plain,
( vf(vd1288,vd1289) = v0
| ~ rR(vd1287,vd1288,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_98])]) ).
cnf(c_0_195,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_190])]) ).
cnf(c_0_196,plain,
vf(vd1288,vd1289) = v0,
inference(csr,[status(thm)],[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_191,c_0_192]),c_0_193]),c_0_125]),c_0_55]),c_0_98]),c_0_56])]),c_0_194]) ).
cnf(c_0_197,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_55]),c_0_98])]),c_0_178]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO319+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:04:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.46/0.59 start to proof: theBenchmark
% 111.72/111.77 % Version : CSE_E---1.5
% 111.72/111.77 % Problem : theBenchmark.p
% 111.72/111.77 % Proof found
% 111.72/111.77 % SZS status Theorem for theBenchmark.p
% 111.72/111.77 % SZS output start Proof
% See solution above
% 111.85/111.78 % Total time : 111.166000 s
% 111.85/111.78 % SZS output end Proof
% 111.85/111.79 % Total time : 111.183000 s
%------------------------------------------------------------------------------