TSTP Solution File: GEO294+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO294+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 09:22:22 EST 2010
% Result : Theorem 0.79s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of formulae : 105 ( 41 unt; 0 def)
% Number of atoms : 658 ( 257 equ)
% Maximal formula atoms : 43 ( 6 avg)
% Number of connectives : 914 ( 361 ~; 396 |; 150 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-3 aty)
% Number of variables : 221 ( 0 sgn 98 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
( ~ ? [X38] :
( ron(vd1187,X38)
& ron(vd1186,X38)
& ron(vd1185,X38)
& rline(X38) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X39] :
( vd1187 = X39
& rpoint(X39) )
& ? [X40] :
( vd1186 = X40
& rpoint(X40) )
& ? [X41] :
( vd1185 = X41
& rpoint(X41) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X42] :
( vd1180 = X42
& rpoint(X42) )
& ? [X43] :
( vd1179 = X43
& rpoint(X43) )
& ? [X44] :
( vd1178 = X44
& rpoint(X44) ) ),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(7,axiom,
ron(vd1185,vd1232),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(s1(plural(293)), 0)') ).
fof(8,axiom,
~ ron(vd1187,vd1197),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','neg(neg(270))') ).
fof(10,axiom,
rS(vd1201,vd1187,vd1197),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(11,axiom,
ron(vd1185,vd1197),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(s1(plural(269)), 0)') ).
fof(12,axiom,
! [X45,X46,X47,X48] :
( ( ron(X46,X48)
& ron(X46,X47)
& ron(X45,X48)
& ron(X45,X47)
& ? [X49] :
( X48 = X49
& rline(X49) )
& ? [X50] :
( X47 = X50
& rline(X50) )
& X45 != X46
& ? [X51] :
( X46 = X51
& rpoint(X51) )
& ? [X52] :
( X45 = X52
& rpoint(X52) ) )
=> X47 = X48 ),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(41,axiom,
rline(vd1197),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(269, 0)') ).
fof(42,conjecture,
ron(vd1201,vd1232),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(303, 0)') ).
fof(46,axiom,
! [X287,X288,X289,X290] :
( ( rS(X287,X288,X289)
& X289 = X290
& rline(X290)
& ? [X291] :
( X288 = X291
& rpoint(X291) )
& ? [X292] :
( X287 = X292
& rpoint(X292) ) )
=> ~ ron(X287,X289) ),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(50,axiom,
! [X310,X311,X312,X313,X314,X315,X316,X317] :
( ( ron(X312,X316)
& ron(X310,X316)
& X310 != X314
& X310 != X312
& X316 = X317
& rline(X317)
& X314 = X315
& rpoint(X315)
& X312 = X313
& rpoint(X313)
& X310 = X311
& rpoint(X311) )
=> ( ( ~ rR(X310,X312,X314)
& ron(X314,X316) )
<=> vangle(X312,X310,X314) = v0 ) ),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(62,axiom,
rline(vd1234),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(294, 0)') ).
fof(88,axiom,
ron(vd1187,vd1232),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(s2(plural(293)), 0)') ).
fof(105,axiom,
rline(vd1232),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(293, 0)') ).
fof(114,axiom,
ron(vd1185,vd1234),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(s1(plural(294)), 0)') ).
fof(121,axiom,
? [X627] :
( vd1201 = X627
& rpoint(X627) ),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','qe(s3(plural(271)))') ).
fof(125,axiom,
ron(vd1201,vd1234),
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','pred(s2(plural(294)), 0)') ).
fof(137,axiom,
vangle(vd1201,vd1185,vd1187) = v0,
file('/tmp/tmpnEtAE4/sel_GEO294+1.p_1','holds(302, 1241, 0)') ).
fof(145,negated_conjecture,
~ ron(vd1201,vd1232),
inference(assume_negation,[status(cth)],[42]) ).
fof(149,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(159,negated_conjecture,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],[145,theory(equality)]) ).
fof(160,plain,
! [X287,X288,X289,X290] :
( ( rS(X287,X288,X289)
& X289 = X290
& rline(X290)
& ? [X291] :
( X288 = X291
& rpoint(X291) )
& ? [X292] :
( X287 = X292
& rpoint(X292) ) )
=> ~ ron(X287,X289) ),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(162,plain,
! [X310,X311,X312,X313,X314,X315,X316,X317] :
( ( ron(X312,X316)
& ron(X310,X316)
& X310 != X314
& X310 != X312
& X316 = X317
& rline(X317)
& X314 = X315
& rpoint(X315)
& X312 = X313
& rpoint(X313)
& X310 = X311
& rpoint(X311) )
=> ( ( ~ rR(X310,X312,X314)
& ron(X314,X316) )
<=> vangle(X312,X310,X314) = v0 ) ),
inference(fof_simplification,[status(thm)],[50,theory(equality)]) ).
fof(213,plain,
( ! [X38] :
( ~ ron(vd1187,X38)
| ~ ron(vd1186,X38)
| ~ ron(vd1185,X38)
| ~ rline(X38) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X39] :
( vd1187 = X39
& rpoint(X39) )
& ? [X40] :
( vd1186 = X40
& rpoint(X40) )
& ? [X41] :
( vd1185 = X41
& rpoint(X41) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X42] :
( vd1180 = X42
& rpoint(X42) )
& ? [X43] :
( vd1179 = X43
& rpoint(X43) )
& ? [X44] :
( vd1178 = X44
& rpoint(X44) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(214,plain,
( ! [X45] :
( ~ ron(vd1187,X45)
| ~ ron(vd1186,X45)
| ~ ron(vd1185,X45)
| ~ rline(X45) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X46] :
( vd1187 = X46
& rpoint(X46) )
& ? [X47] :
( vd1186 = X47
& rpoint(X47) )
& ? [X48] :
( vd1185 = X48
& rpoint(X48) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X49] :
( vd1180 = X49
& rpoint(X49) )
& ? [X50] :
( vd1179 = X50
& rpoint(X50) )
& ? [X51] :
( vd1178 = X51
& rpoint(X51) ) ),
inference(variable_rename,[status(thm)],[213]) ).
fof(215,plain,
( ! [X45] :
( ~ ron(vd1187,X45)
| ~ ron(vd1186,X45)
| ~ ron(vd1185,X45)
| ~ rline(X45) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk4_0
& rpoint(esk4_0)
& vd1186 = esk5_0
& rpoint(esk5_0)
& vd1185 = esk6_0
& rpoint(esk6_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk7_0
& rpoint(esk7_0)
& vd1179 = esk8_0
& rpoint(esk8_0)
& vd1178 = esk9_0
& rpoint(esk9_0) ),
inference(skolemize,[status(esa)],[214]) ).
fof(216,plain,
! [X45] :
( ( ~ ron(vd1187,X45)
| ~ ron(vd1186,X45)
| ~ ron(vd1185,X45)
| ~ rline(X45) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk4_0
& rpoint(esk4_0)
& vd1186 = esk5_0
& rpoint(esk5_0)
& vd1185 = esk6_0
& rpoint(esk6_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk7_0
& rpoint(esk7_0)
& vd1179 = esk8_0
& rpoint(esk8_0)
& vd1178 = esk9_0
& rpoint(esk9_0) ),
inference(shift_quantors,[status(thm)],[215]) ).
cnf(226,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(227,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[216]) ).
cnf(230,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(231,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[216]) ).
cnf(236,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(237,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(239,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(240,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],[11]) ).
fof(241,plain,
! [X45,X46,X47,X48] :
( ~ ron(X46,X48)
| ~ ron(X46,X47)
| ~ ron(X45,X48)
| ~ ron(X45,X47)
| ! [X49] :
( X48 != X49
| ~ rline(X49) )
| ! [X50] :
( X47 != X50
| ~ rline(X50) )
| X45 = X46
| ! [X51] :
( X46 != X51
| ~ rpoint(X51) )
| ! [X52] :
( X45 != X52
| ~ rpoint(X52) )
| X47 = X48 ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(242,plain,
! [X53,X54,X55,X56] :
( ~ ron(X54,X56)
| ~ ron(X54,X55)
| ~ ron(X53,X56)
| ~ ron(X53,X55)
| ! [X57] :
( X56 != X57
| ~ rline(X57) )
| ! [X58] :
( X55 != X58
| ~ rline(X58) )
| X53 = X54
| ! [X59] :
( X54 != X59
| ~ rpoint(X59) )
| ! [X60] :
( X53 != X60
| ~ rpoint(X60) )
| X55 = X56 ),
inference(variable_rename,[status(thm)],[241]) ).
fof(243,plain,
! [X53,X54,X55,X56,X57,X58,X59,X60] :
( X53 != X60
| ~ rpoint(X60)
| X54 != X59
| ~ rpoint(X59)
| X55 != X58
| ~ rline(X58)
| X56 != X57
| ~ rline(X57)
| ~ ron(X54,X56)
| ~ ron(X54,X55)
| ~ ron(X53,X56)
| ~ ron(X53,X55)
| X53 = X54
| X55 = X56 ),
inference(shift_quantors,[status(thm)],[242]) ).
cnf(244,plain,
( X1 = X2
| X3 = X4
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X1)
| ~ ron(X4,X2)
| ~ rline(X5)
| X2 != X5
| ~ rline(X6)
| X1 != X6
| ~ rpoint(X7)
| X4 != X7
| ~ rpoint(X8)
| X3 != X8 ),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(422,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(423,negated_conjecture,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[159]) ).
fof(437,plain,
! [X287,X288,X289,X290] :
( ~ rS(X287,X288,X289)
| X289 != X290
| ~ rline(X290)
| ! [X291] :
( X288 != X291
| ~ rpoint(X291) )
| ! [X292] :
( X287 != X292
| ~ rpoint(X292) )
| ~ ron(X287,X289) ),
inference(fof_nnf,[status(thm)],[160]) ).
fof(438,plain,
! [X293,X294,X295,X296] :
( ~ rS(X293,X294,X295)
| X295 != X296
| ~ rline(X296)
| ! [X297] :
( X294 != X297
| ~ rpoint(X297) )
| ! [X298] :
( X293 != X298
| ~ rpoint(X298) )
| ~ ron(X293,X295) ),
inference(variable_rename,[status(thm)],[437]) ).
fof(439,plain,
! [X293,X294,X295,X296,X297,X298] :
( X293 != X298
| ~ rpoint(X298)
| X294 != X297
| ~ rpoint(X297)
| ~ rS(X293,X294,X295)
| X295 != X296
| ~ rline(X296)
| ~ ron(X293,X295) ),
inference(shift_quantors,[status(thm)],[438]) ).
cnf(440,plain,
( ~ ron(X1,X2)
| ~ rline(X3)
| X2 != X3
| ~ rS(X1,X4,X2)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X6)
| X1 != X6 ),
inference(split_conjunct,[status(thm)],[439]) ).
fof(455,plain,
! [X310,X311,X312,X313,X314,X315,X316,X317] :
( ~ ron(X312,X316)
| ~ ron(X310,X316)
| X310 = X314
| X310 = X312
| X316 != X317
| ~ rline(X317)
| X314 != X315
| ~ rpoint(X315)
| X312 != X313
| ~ rpoint(X313)
| X310 != X311
| ~ rpoint(X311)
| ( ( rR(X310,X312,X314)
| ~ ron(X314,X316)
| vangle(X312,X310,X314) = v0 )
& ( vangle(X312,X310,X314) != v0
| ( ~ rR(X310,X312,X314)
& ron(X314,X316) ) ) ) ),
inference(fof_nnf,[status(thm)],[162]) ).
fof(456,plain,
! [X318,X319,X320,X321,X322,X323,X324,X325] :
( ~ ron(X320,X324)
| ~ ron(X318,X324)
| X318 = X322
| X318 = X320
| X324 != X325
| ~ rline(X325)
| X322 != X323
| ~ rpoint(X323)
| X320 != X321
| ~ rpoint(X321)
| X318 != X319
| ~ rpoint(X319)
| ( ( rR(X318,X320,X322)
| ~ ron(X322,X324)
| vangle(X320,X318,X322) = v0 )
& ( vangle(X320,X318,X322) != v0
| ( ~ rR(X318,X320,X322)
& ron(X322,X324) ) ) ) ),
inference(variable_rename,[status(thm)],[455]) ).
fof(457,plain,
! [X318,X319,X320,X321,X322,X323,X324,X325] :
( ( rR(X318,X320,X322)
| ~ ron(X322,X324)
| vangle(X320,X318,X322) = v0
| ~ ron(X320,X324)
| ~ ron(X318,X324)
| X318 = X322
| X318 = X320
| X324 != X325
| ~ rline(X325)
| X322 != X323
| ~ rpoint(X323)
| X320 != X321
| ~ rpoint(X321)
| X318 != X319
| ~ rpoint(X319) )
& ( ~ rR(X318,X320,X322)
| vangle(X320,X318,X322) != v0
| ~ ron(X320,X324)
| ~ ron(X318,X324)
| X318 = X322
| X318 = X320
| X324 != X325
| ~ rline(X325)
| X322 != X323
| ~ rpoint(X323)
| X320 != X321
| ~ rpoint(X321)
| X318 != X319
| ~ rpoint(X319) )
& ( ron(X322,X324)
| vangle(X320,X318,X322) != v0
| ~ ron(X320,X324)
| ~ ron(X318,X324)
| X318 = X322
| X318 = X320
| X324 != X325
| ~ rline(X325)
| X322 != X323
| ~ rpoint(X323)
| X320 != X321
| ~ rpoint(X321)
| X318 != X319
| ~ rpoint(X319) ) ),
inference(distribute,[status(thm)],[456]) ).
cnf(458,plain,
( X2 = X4
| X2 = X6
| ron(X6,X8)
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3
| ~ rpoint(X5)
| X6 != X5
| ~ rline(X7)
| X8 != X7
| ~ ron(X2,X8)
| ~ ron(X4,X8)
| vangle(X4,X2,X6) != v0 ),
inference(split_conjunct,[status(thm)],[457]) ).
cnf(515,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(616,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(710,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(741,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],[114]) ).
fof(760,plain,
? [X628] :
( vd1201 = X628
& rpoint(X628) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(761,plain,
( vd1201 = esk52_0
& rpoint(esk52_0) ),
inference(skolemize,[status(esa)],[760]) ).
cnf(762,plain,
rpoint(esk52_0),
inference(split_conjunct,[status(thm)],[761]) ).
cnf(763,plain,
vd1201 = esk52_0,
inference(split_conjunct,[status(thm)],[761]) ).
cnf(781,plain,
ron(vd1201,vd1234),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(838,plain,
vangle(vd1201,vd1185,vd1187) = v0,
inference(split_conjunct,[status(thm)],[137]) ).
cnf(865,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[230,231,theory(equality)]) ).
cnf(870,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[226,227,theory(equality)]) ).
cnf(878,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[762,763,theory(equality)]) ).
cnf(1089,plain,
( X1 != X2
| X3 != X4
| ~ rS(X3,X5,X1)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[440,theory(equality)]) ).
cnf(1090,plain,
( X1 != X2
| ~ rS(X1,X3,X4)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1089,theory(equality)]) ).
cnf(1091,plain,
( ~ rS(X1,X2,X3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[1090,theory(equality)]) ).
cnf(1142,plain,
( X1 = X2
| X3 = X4
| X3 != X5
| X2 != X6
| X1 != X7
| ~ rline(X7)
| ~ rline(X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[244,theory(equality)]) ).
cnf(1143,plain,
( X1 = X2
| X3 = X4
| X2 != X5
| X1 != X6
| ~ rline(X6)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[1142,theory(equality)]) ).
cnf(1144,plain,
( X1 = X2
| X3 = X4
| X1 != X5
| ~ rline(X5)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[1143,theory(equality)]) ).
cnf(1145,plain,
( X1 = X2
| X3 = X4
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[1144,theory(equality)]) ).
cnf(1291,plain,
( X1 = X2
| X1 = X3
| ron(X3,X4)
| vangle(X2,X1,X3) != v0
| X5 != X3
| X6 != X2
| X7 != X1
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[458,theory(equality)]) ).
cnf(1292,plain,
( X1 = X2
| X1 = X3
| ron(X3,X4)
| vangle(X2,X1,X3) != v0
| X5 != X2
| X6 != X1
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1291,theory(equality)]) ).
cnf(1293,plain,
( X1 = X2
| X1 = X3
| ron(X3,X4)
| vangle(X2,X1,X3) != v0
| X5 != X1
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X5)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1292,theory(equality)]) ).
cnf(1294,plain,
( X1 = X2
| X1 = X3
| ron(X3,X4)
| vangle(X2,X1,X3) != v0
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1293,theory(equality)]) ).
cnf(2063,plain,
( ~ rline(vd1197)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(spm,[status(thm)],[1091,239,theory(equality)]) ).
cnf(2072,plain,
( $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2063,422,theory(equality)]) ).
cnf(2073,plain,
( $false
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2072,878,theory(equality)]) ).
cnf(2074,plain,
( $false
| $false
| $false
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2073,865,theory(equality)]) ).
cnf(2075,plain,
~ ron(vd1201,vd1197),
inference(cn,[status(thm)],[2074,theory(equality)]) ).
cnf(3142,plain,
( X1 = vd1187
| X2 = vd1232
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rpoint(X1)
| ~ rpoint(vd1187)
| ~ ron(vd1187,X2)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2) ),
inference(spm,[status(thm)],[1145,616,theory(equality)]) ).
cnf(3170,plain,
( X1 = vd1187
| X2 = vd1232
| ~ rline(X2)
| $false
| ~ rpoint(X1)
| ~ rpoint(vd1187)
| ~ ron(vd1187,X2)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2) ),
inference(rw,[status(thm)],[3142,710,theory(equality)]) ).
cnf(3171,plain,
( X1 = vd1187
| X2 = vd1232
| ~ rline(X2)
| $false
| ~ rpoint(X1)
| $false
| ~ ron(vd1187,X2)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2) ),
inference(rw,[status(thm)],[3170,865,theory(equality)]) ).
cnf(3172,plain,
( X1 = vd1187
| X2 = vd1232
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1187,X2)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[3171,theory(equality)]) ).
cnf(3210,plain,
( X1 = vd1232
| vd1185 = vd1187
| ~ rline(X1)
| ~ rpoint(vd1185)
| ~ ron(vd1187,X1)
| ~ ron(vd1185,X1) ),
inference(spm,[status(thm)],[3172,236,theory(equality)]) ).
cnf(3230,plain,
( X1 = vd1232
| vd1185 = vd1187
| ~ rline(X1)
| $false
| ~ ron(vd1187,X1)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[3210,870,theory(equality)]) ).
cnf(3231,plain,
( X1 = vd1232
| vd1185 = vd1187
| ~ rline(X1)
| ~ ron(vd1187,X1)
| ~ ron(vd1185,X1) ),
inference(cn,[status(thm)],[3230,theory(equality)]) ).
cnf(3247,plain,
( vd1187 = vd1185
| vd1234 = vd1232
| ~ ron(vd1187,vd1234)
| ~ ron(vd1185,vd1234) ),
inference(spm,[status(thm)],[3231,515,theory(equality)]) ).
cnf(3251,plain,
( vd1187 = vd1185
| vd1234 = vd1232
| ~ ron(vd1187,vd1234)
| $false ),
inference(rw,[status(thm)],[3247,741,theory(equality)]) ).
cnf(3252,plain,
( vd1187 = vd1185
| vd1234 = vd1232
| ~ ron(vd1187,vd1234) ),
inference(cn,[status(thm)],[3251,theory(equality)]) ).
cnf(5185,plain,
( vd1185 = vd1187
| vd1185 = vd1201
| ron(vd1187,X1)
| ~ rline(X1)
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ ron(vd1201,X1)
| ~ ron(vd1185,X1) ),
inference(spm,[status(thm)],[1294,838,theory(equality)]) ).
cnf(5194,plain,
( vd1185 = vd1187
| vd1185 = vd1201
| ron(vd1187,X1)
| ~ rline(X1)
| $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ ron(vd1201,X1)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[5185,865,theory(equality)]) ).
cnf(5195,plain,
( vd1185 = vd1187
| vd1185 = vd1201
| ron(vd1187,X1)
| ~ rline(X1)
| $false
| $false
| ~ rpoint(vd1185)
| ~ ron(vd1201,X1)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[5194,878,theory(equality)]) ).
cnf(5196,plain,
( vd1185 = vd1187
| vd1185 = vd1201
| ron(vd1187,X1)
| ~ rline(X1)
| $false
| $false
| $false
| ~ ron(vd1201,X1)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[5195,870,theory(equality)]) ).
cnf(5197,plain,
( vd1185 = vd1187
| vd1185 = vd1201
| ron(vd1187,X1)
| ~ rline(X1)
| ~ ron(vd1201,X1)
| ~ ron(vd1185,X1) ),
inference(cn,[status(thm)],[5196,theory(equality)]) ).
cnf(5264,plain,
( vd1201 = vd1185
| vd1187 = vd1185
| ron(vd1187,vd1234)
| ~ ron(vd1201,vd1234)
| ~ ron(vd1185,vd1234) ),
inference(spm,[status(thm)],[5197,515,theory(equality)]) ).
cnf(5272,plain,
( vd1201 = vd1185
| vd1187 = vd1185
| ron(vd1187,vd1234)
| $false
| ~ ron(vd1185,vd1234) ),
inference(rw,[status(thm)],[5264,781,theory(equality)]) ).
cnf(5273,plain,
( vd1201 = vd1185
| vd1187 = vd1185
| ron(vd1187,vd1234)
| $false
| $false ),
inference(rw,[status(thm)],[5272,741,theory(equality)]) ).
cnf(5274,plain,
( vd1201 = vd1185
| vd1187 = vd1185
| ron(vd1187,vd1234) ),
inference(cn,[status(thm)],[5273,theory(equality)]) ).
cnf(5277,plain,
( vd1234 = vd1232
| vd1187 = vd1185
| vd1201 = vd1185 ),
inference(spm,[status(thm)],[3252,5274,theory(equality)]) ).
cnf(5304,plain,
( ron(vd1201,vd1232)
| vd1201 = vd1185
| vd1187 = vd1185 ),
inference(spm,[status(thm)],[781,5277,theory(equality)]) ).
cnf(5318,plain,
( vd1201 = vd1185
| vd1187 = vd1185 ),
inference(sr,[status(thm)],[5304,423,theory(equality)]) ).
cnf(5332,plain,
( vd1201 = vd1185
| ~ ron(vd1185,vd1197) ),
inference(spm,[status(thm)],[237,5318,theory(equality)]) ).
cnf(5347,plain,
( vd1201 = vd1185
| $false ),
inference(rw,[status(thm)],[5332,240,theory(equality)]) ).
cnf(5348,plain,
vd1201 = vd1185,
inference(cn,[status(thm)],[5347,theory(equality)]) ).
cnf(5396,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2075,5348,theory(equality)]),240,theory(equality)]) ).
cnf(5397,plain,
$false,
inference(cn,[status(thm)],[5396,theory(equality)]) ).
cnf(5398,plain,
$false,
5397,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO294+1.p
% --creating new selector for []
% -running prover on /tmp/tmpnEtAE4/sel_GEO294+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO294+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO294+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO294+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------