TSTP Solution File: GEO295+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO295+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 09:22:40 EST 2010
% Result : Theorem 19.48s
% Output : CNFRefutation 19.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 21
% Syntax : Number of formulae : 154 ( 56 unt; 0 def)
% Number of atoms : 1273 ( 388 equ)
% Maximal formula atoms : 70 ( 8 avg)
% Number of connectives : 1908 ( 789 ~; 901 |; 208 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-3 aty)
% Number of variables : 444 ( 0 sgn 162 !; 51 ?)
% 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/tmpOayS_U/sel_GEO295+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/tmpOayS_U/sel_GEO295+1.p_1','pred(s1(plural(293)), 0)') ).
fof(10,axiom,
rS(vd1201,vd1187,vd1197),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(11,axiom,
ron(vd1185,vd1197),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','pred(s1(plural(269)), 0)') ).
fof(27,axiom,
! [X141,X142,X143,X144,X145,X146] :
( ( X145 != X146
& ~ ron(X144,X146)
& ~ ron(X144,X145)
& X141 != X143
& X141 != X142
& ron(X143,X146)
& ron(X142,X145)
& ron(X141,X146)
& ron(X141,X145)
& ? [X147] :
( X146 = X147
& rline(X147) )
& ? [X148] :
( X145 = X148
& rline(X148) )
& ? [X149] :
( X144 = X149
& rpoint(X149) )
& ? [X150] :
( X143 = X150
& rpoint(X150) )
& ? [X151] :
( X142 = X151
& rpoint(X151) )
& ? [X152] :
( X141 = X152
& rpoint(X152) ) )
=> ( vangle(X142,X141,X143) = vplus(vangle(X142,X141,X144),vangle(X144,X141,X143))
<=> ( rS(X143,X144,X145)
& rS(X142,X144,X146) ) ) ),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(42,axiom,
rline(vd1197),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','pred(269, 0)') ).
fof(46,axiom,
! [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) ),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(55,axiom,
~ ron(vd1187,vd1197),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','neg(neg(270))') ).
fof(62,axiom,
rline(vd1234),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','pred(294, 0)') ).
fof(80,axiom,
vd1199 = vd1185,
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','holds(291, 1230, 0)') ).
fof(81,axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','holds(292, 1231, 0)') ).
fof(89,axiom,
! [X491,X492,X493,X494] :
( ( ~ ron(X491,X493)
& X493 = X494
& rline(X494)
& X491 = X492
& rpoint(X492) )
=> rS(X491,X491,X493) ),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))') ).
fof(105,axiom,
ron(vd1186,vd1197),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','pred(s2(plural(269)), 0)') ).
fof(112,axiom,
ron(vd1185,vd1234),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','pred(s1(plural(294)), 0)') ).
fof(114,axiom,
! [X604,X605,X606,X607,X608,X609,X610] :
( ( rS(X608,X609,X606)
& rS(X609,X610,X604)
& ron(X610,X606)
& ron(X609,X606)
& ron(X608,X604)
& ron(X607,X606)
& ron(X607,X605)
& ron(X607,X604)
& ? [X611] :
( X610 = X611
& rpoint(X611) )
& ? [X612] :
( X609 = X612
& rpoint(X612) )
& ? [X613] :
( X608 = X613
& rpoint(X613) )
& ? [X614] :
( X607 = X614
& rpoint(X614) )
& ? [X615] :
( X606 = X615
& rline(X615) )
& ? [X616] :
( X605 = X616
& rline(X616) )
& ? [X617] :
( X604 = X617
& rline(X617) ) )
=> ~ rS(X608,X610,X605) ),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))') ).
fof(118,axiom,
~ ron(vd1201,vd1232),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','neg(neg(296))') ).
fof(119,axiom,
? [X627] :
( vd1201 = X627
& rpoint(X627) ),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','qe(s3(plural(271)))') ).
fof(123,axiom,
ron(vd1201,vd1234),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','pred(s2(plural(294)), 0)') ).
fof(135,axiom,
rS(vd1200,vd1187,vd1234),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','holds(306, 1242, 0)') ).
fof(136,conjecture,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','holds(307, 1243, 0)') ).
fof(138,axiom,
vd1200 = vd1186,
file('/tmp/tmpOayS_U/sel_GEO295+1.p_1','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(142,negated_conjecture,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(assume_negation,[status(cth)],[136]) ).
fof(151,plain,
! [X141,X142,X143,X144,X145,X146] :
( ( X145 != X146
& ~ ron(X144,X146)
& ~ ron(X144,X145)
& X141 != X143
& X141 != X142
& ron(X143,X146)
& ron(X142,X145)
& ron(X141,X146)
& ron(X141,X145)
& ? [X147] :
( X146 = X147
& rline(X147) )
& ? [X148] :
( X145 = X148
& rline(X148) )
& ? [X149] :
( X144 = X149
& rpoint(X149) )
& ? [X150] :
( X143 = X150
& rpoint(X150) )
& ? [X151] :
( X142 = X151
& rpoint(X151) )
& ? [X152] :
( X141 = X152
& rpoint(X152) ) )
=> ( vangle(X142,X141,X143) = vplus(vangle(X142,X141,X144),vangle(X144,X141,X143))
<=> ( rS(X143,X144,X145)
& rS(X142,X144,X146) ) ) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(156,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(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(160,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],[55,theory(equality)]) ).
fof(164,plain,
! [X491,X492,X493,X494] :
( ( ~ ron(X491,X493)
& X493 = X494
& rline(X494)
& X491 = X492
& rpoint(X492) )
=> rS(X491,X491,X493) ),
inference(fof_simplification,[status(thm)],[89,theory(equality)]) ).
fof(170,plain,
! [X604,X605,X606,X607,X608,X609,X610] :
( ( rS(X608,X609,X606)
& rS(X609,X610,X604)
& ron(X610,X606)
& ron(X609,X606)
& ron(X608,X604)
& ron(X607,X606)
& ron(X607,X605)
& ron(X607,X604)
& ? [X611] :
( X610 = X611
& rpoint(X611) )
& ? [X612] :
( X609 = X612
& rpoint(X612) )
& ? [X613] :
( X608 = X613
& rpoint(X613) )
& ? [X614] :
( X607 = X614
& rpoint(X614) )
& ? [X615] :
( X606 = X615
& rline(X615) )
& ? [X616] :
( X605 = X616
& rline(X616) )
& ? [X617] :
( X604 = X617
& rline(X617) ) )
=> ~ rS(X608,X610,X605) ),
inference(fof_simplification,[status(thm)],[114,theory(equality)]) ).
fof(171,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],[118,theory(equality)]) ).
fof(177,negated_conjecture,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(fof_simplification,[status(thm)],[142,theory(equality)]) ).
fof(211,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(212,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)],[211]) ).
fof(213,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)],[212]) ).
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)
& 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)],[213]) ).
cnf(224,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(225,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[214]) ).
cnf(226,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(227,plain,
vd1186 = esk5_0,
inference(split_conjunct,[status(thm)],[214]) ).
cnf(228,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(229,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[214]) ).
cnf(233,plain,
( ~ rline(X1)
| ~ ron(vd1185,X1)
| ~ ron(vd1186,X1)
| ~ ron(vd1187,X1) ),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(234,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(237,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(238,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],[11]) ).
fof(312,plain,
! [X141,X142,X143,X144,X145,X146] :
( X145 = X146
| ron(X144,X146)
| ron(X144,X145)
| X141 = X143
| X141 = X142
| ~ ron(X143,X146)
| ~ ron(X142,X145)
| ~ ron(X141,X146)
| ~ ron(X141,X145)
| ! [X147] :
( X146 != X147
| ~ rline(X147) )
| ! [X148] :
( X145 != X148
| ~ rline(X148) )
| ! [X149] :
( X144 != X149
| ~ rpoint(X149) )
| ! [X150] :
( X143 != X150
| ~ rpoint(X150) )
| ! [X151] :
( X142 != X151
| ~ rpoint(X151) )
| ! [X152] :
( X141 != X152
| ~ rpoint(X152) )
| ( ( vangle(X142,X141,X143) != vplus(vangle(X142,X141,X144),vangle(X144,X141,X143))
| ( rS(X143,X144,X145)
& rS(X142,X144,X146) ) )
& ( ~ rS(X143,X144,X145)
| ~ rS(X142,X144,X146)
| vangle(X142,X141,X143) = vplus(vangle(X142,X141,X144),vangle(X144,X141,X143)) ) ) ),
inference(fof_nnf,[status(thm)],[151]) ).
fof(313,plain,
! [X153,X154,X155,X156,X157,X158] :
( X157 = X158
| ron(X156,X158)
| ron(X156,X157)
| X153 = X155
| X153 = X154
| ~ ron(X155,X158)
| ~ ron(X154,X157)
| ~ ron(X153,X158)
| ~ ron(X153,X157)
| ! [X159] :
( X158 != X159
| ~ rline(X159) )
| ! [X160] :
( X157 != X160
| ~ rline(X160) )
| ! [X161] :
( X156 != X161
| ~ rpoint(X161) )
| ! [X162] :
( X155 != X162
| ~ rpoint(X162) )
| ! [X163] :
( X154 != X163
| ~ rpoint(X163) )
| ! [X164] :
( X153 != X164
| ~ rpoint(X164) )
| ( ( vangle(X154,X153,X155) != vplus(vangle(X154,X153,X156),vangle(X156,X153,X155))
| ( rS(X155,X156,X157)
& rS(X154,X156,X158) ) )
& ( ~ rS(X155,X156,X157)
| ~ rS(X154,X156,X158)
| vangle(X154,X153,X155) = vplus(vangle(X154,X153,X156),vangle(X156,X153,X155)) ) ) ),
inference(variable_rename,[status(thm)],[312]) ).
fof(314,plain,
! [X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164] :
( X153 != X164
| ~ rpoint(X164)
| X154 != X163
| ~ rpoint(X163)
| X155 != X162
| ~ rpoint(X162)
| X156 != X161
| ~ rpoint(X161)
| X157 != X160
| ~ rline(X160)
| X158 != X159
| ~ rline(X159)
| X157 = X158
| ron(X156,X158)
| ron(X156,X157)
| X153 = X155
| X153 = X154
| ~ ron(X155,X158)
| ~ ron(X154,X157)
| ~ ron(X153,X158)
| ~ ron(X153,X157)
| ( ( vangle(X154,X153,X155) != vplus(vangle(X154,X153,X156),vangle(X156,X153,X155))
| ( rS(X155,X156,X157)
& rS(X154,X156,X158) ) )
& ( ~ rS(X155,X156,X157)
| ~ rS(X154,X156,X158)
| vangle(X154,X153,X155) = vplus(vangle(X154,X153,X156),vangle(X156,X153,X155)) ) ) ),
inference(shift_quantors,[status(thm)],[313]) ).
fof(315,plain,
! [X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164] :
( ( rS(X155,X156,X157)
| vangle(X154,X153,X155) != vplus(vangle(X154,X153,X156),vangle(X156,X153,X155))
| X153 != X164
| ~ rpoint(X164)
| X154 != X163
| ~ rpoint(X163)
| X155 != X162
| ~ rpoint(X162)
| X156 != X161
| ~ rpoint(X161)
| X157 != X160
| ~ rline(X160)
| X158 != X159
| ~ rline(X159)
| X157 = X158
| ron(X156,X158)
| ron(X156,X157)
| X153 = X155
| X153 = X154
| ~ ron(X155,X158)
| ~ ron(X154,X157)
| ~ ron(X153,X158)
| ~ ron(X153,X157) )
& ( rS(X154,X156,X158)
| vangle(X154,X153,X155) != vplus(vangle(X154,X153,X156),vangle(X156,X153,X155))
| X153 != X164
| ~ rpoint(X164)
| X154 != X163
| ~ rpoint(X163)
| X155 != X162
| ~ rpoint(X162)
| X156 != X161
| ~ rpoint(X161)
| X157 != X160
| ~ rline(X160)
| X158 != X159
| ~ rline(X159)
| X157 = X158
| ron(X156,X158)
| ron(X156,X157)
| X153 = X155
| X153 = X154
| ~ ron(X155,X158)
| ~ ron(X154,X157)
| ~ ron(X153,X158)
| ~ ron(X153,X157) )
& ( ~ rS(X155,X156,X157)
| ~ rS(X154,X156,X158)
| vangle(X154,X153,X155) = vplus(vangle(X154,X153,X156),vangle(X156,X153,X155))
| X153 != X164
| ~ rpoint(X164)
| X154 != X163
| ~ rpoint(X163)
| X155 != X162
| ~ rpoint(X162)
| X156 != X161
| ~ rpoint(X161)
| X157 != X160
| ~ rline(X160)
| X158 != X159
| ~ rline(X159)
| X157 = X158
| ron(X156,X158)
| ron(X156,X157)
| X153 = X155
| X153 = X154
| ~ ron(X155,X158)
| ~ ron(X154,X157)
| ~ ron(X153,X158)
| ~ ron(X153,X157) ) ),
inference(distribute,[status(thm)],[314]) ).
cnf(316,plain,
( X1 = X4
| X1 = X5
| ron(X6,X2)
| ron(X6,X3)
| X2 = X3
| vangle(X4,X1,X5) = vplus(vangle(X4,X1,X6),vangle(X6,X1,X5))
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X4,X2)
| ~ ron(X5,X3)
| ~ rline(X7)
| X3 != X7
| ~ rline(X8)
| X2 != X8
| ~ rpoint(X9)
| X6 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X1 != X12
| ~ rS(X4,X6,X3)
| ~ rS(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[315]) ).
cnf(429,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],[42]) ).
fof(443,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(fof_nnf,[status(thm)],[156]) ).
fof(444,plain,
! [X299,X300,X301,X302] :
( ~ rS(X299,X300,X301)
| X301 != X302
| ~ rline(X302)
| ! [X303] :
( X300 != X303
| ~ rpoint(X303) )
| ! [X304] :
( X299 != X304
| ~ rpoint(X304) )
| ~ ron(X299,X301) ),
inference(variable_rename,[status(thm)],[443]) ).
fof(445,plain,
! [X299,X300,X301,X302,X303,X304] :
( X299 != X304
| ~ rpoint(X304)
| X300 != X303
| ~ rpoint(X303)
| ~ rS(X299,X300,X301)
| X301 != X302
| ~ rline(X302)
| ~ ron(X299,X301) ),
inference(shift_quantors,[status(thm)],[444]) ).
cnf(446,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)],[445]) ).
cnf(489,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[160]) ).
cnf(522,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(591,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],[80]) ).
cnf(592,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[81]) ).
fof(624,plain,
! [X491,X492,X493,X494] :
( ron(X491,X493)
| X493 != X494
| ~ rline(X494)
| X491 != X492
| ~ rpoint(X492)
| rS(X491,X491,X493) ),
inference(fof_nnf,[status(thm)],[164]) ).
fof(625,plain,
! [X495,X496,X497,X498] :
( ron(X495,X497)
| X497 != X498
| ~ rline(X498)
| X495 != X496
| ~ rpoint(X496)
| rS(X495,X495,X497) ),
inference(variable_rename,[status(thm)],[624]) ).
cnf(626,plain,
( rS(X1,X1,X2)
| ron(X1,X2)
| ~ rpoint(X3)
| X1 != X3
| ~ rline(X4)
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[625]) ).
cnf(713,plain,
ron(vd1186,vd1197),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(737,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],[112]) ).
fof(739,plain,
! [X604,X605,X606,X607,X608,X609,X610] :
( ~ rS(X608,X609,X606)
| ~ rS(X609,X610,X604)
| ~ ron(X610,X606)
| ~ ron(X609,X606)
| ~ ron(X608,X604)
| ~ ron(X607,X606)
| ~ ron(X607,X605)
| ~ ron(X607,X604)
| ! [X611] :
( X610 != X611
| ~ rpoint(X611) )
| ! [X612] :
( X609 != X612
| ~ rpoint(X612) )
| ! [X613] :
( X608 != X613
| ~ rpoint(X613) )
| ! [X614] :
( X607 != X614
| ~ rpoint(X614) )
| ! [X615] :
( X606 != X615
| ~ rline(X615) )
| ! [X616] :
( X605 != X616
| ~ rline(X616) )
| ! [X617] :
( X604 != X617
| ~ rline(X617) )
| ~ rS(X608,X610,X605) ),
inference(fof_nnf,[status(thm)],[170]) ).
fof(740,plain,
! [X618,X619,X620,X621,X622,X623,X624] :
( ~ rS(X622,X623,X620)
| ~ rS(X623,X624,X618)
| ~ ron(X624,X620)
| ~ ron(X623,X620)
| ~ ron(X622,X618)
| ~ ron(X621,X620)
| ~ ron(X621,X619)
| ~ ron(X621,X618)
| ! [X625] :
( X624 != X625
| ~ rpoint(X625) )
| ! [X626] :
( X623 != X626
| ~ rpoint(X626) )
| ! [X627] :
( X622 != X627
| ~ rpoint(X627) )
| ! [X628] :
( X621 != X628
| ~ rpoint(X628) )
| ! [X629] :
( X620 != X629
| ~ rline(X629) )
| ! [X630] :
( X619 != X630
| ~ rline(X630) )
| ! [X631] :
( X618 != X631
| ~ rline(X631) )
| ~ rS(X622,X624,X619) ),
inference(variable_rename,[status(thm)],[739]) ).
fof(741,plain,
! [X618,X619,X620,X621,X622,X623,X624,X625,X626,X627,X628,X629,X630,X631] :
( X618 != X631
| ~ rline(X631)
| X619 != X630
| ~ rline(X630)
| X620 != X629
| ~ rline(X629)
| X621 != X628
| ~ rpoint(X628)
| X622 != X627
| ~ rpoint(X627)
| X623 != X626
| ~ rpoint(X626)
| X624 != X625
| ~ rpoint(X625)
| ~ rS(X622,X623,X620)
| ~ rS(X623,X624,X618)
| ~ ron(X624,X620)
| ~ ron(X623,X620)
| ~ ron(X622,X618)
| ~ ron(X621,X620)
| ~ ron(X621,X619)
| ~ ron(X621,X618)
| ~ rS(X622,X624,X619) ),
inference(shift_quantors,[status(thm)],[740]) ).
cnf(742,plain,
( ~ rS(X1,X2,X3)
| ~ ron(X4,X5)
| ~ ron(X4,X3)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X7,X6)
| ~ ron(X2,X6)
| ~ rS(X7,X2,X5)
| ~ rS(X1,X7,X6)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X7 != X9
| ~ rpoint(X10)
| X1 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X6 != X12
| ~ rline(X13)
| X3 != X13
| ~ rline(X14)
| X5 != X14 ),
inference(split_conjunct,[status(thm)],[741]) ).
cnf(755,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[171]) ).
fof(756,plain,
? [X628] :
( vd1201 = X628
& rpoint(X628) ),
inference(variable_rename,[status(thm)],[119]) ).
fof(757,plain,
( vd1201 = esk52_0
& rpoint(esk52_0) ),
inference(skolemize,[status(esa)],[756]) ).
cnf(758,plain,
rpoint(esk52_0),
inference(split_conjunct,[status(thm)],[757]) ).
cnf(759,plain,
vd1201 = esk52_0,
inference(split_conjunct,[status(thm)],[757]) ).
cnf(777,plain,
ron(vd1201,vd1234),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(834,plain,
rS(vd1200,vd1187,vd1234),
inference(split_conjunct,[status(thm)],[135]) ).
cnf(835,negated_conjecture,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(844,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],[138]) ).
cnf(862,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[228,229,theory(equality)]) ).
cnf(863,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[226,227,theory(equality)]) ).
cnf(864,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[224,225,theory(equality)]) ).
cnf(870,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[758,759,theory(equality)]) ).
cnf(871,plain,
vangle(vd1186,vd1185,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[592,844,theory(equality)]),591,theory(equality)]) ).
cnf(879,plain,
rS(vd1186,vd1187,vd1234),
inference(rw,[status(thm)],[834,844,theory(equality)]) ).
cnf(909,negated_conjecture,
vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) != vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[835,871,theory(equality)]) ).
cnf(975,plain,
( rS(X1,X1,X2)
| ron(X1,X2)
| X1 != X3
| ~ rline(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[626,theory(equality)]) ).
cnf(976,plain,
( rS(X1,X1,X2)
| ron(X1,X2)
| ~ rline(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[975,theory(equality)]) ).
cnf(1105,plain,
( X1 != X2
| X3 != X4
| ~ rS(X3,X5,X1)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[446,theory(equality)]) ).
cnf(1106,plain,
( X1 != X2
| ~ rS(X1,X3,X4)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1105,theory(equality)]) ).
cnf(1107,plain,
( ~ rS(X1,X2,X3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[1106,theory(equality)]) ).
cnf(1518,plain,
( X1 != X2
| X3 != X4
| X5 != X6
| X7 != X8
| X9 != X10
| X11 != X12
| ~ rS(X13,X9,X3)
| ~ rS(X11,X13,X1)
| ~ rS(X11,X9,X7)
| ~ rline(X4)
| ~ rline(X8)
| ~ rline(X2)
| ~ rpoint(X6)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X10)
| ~ ron(X13,X1)
| ~ ron(X5,X1)
| ~ ron(X5,X3)
| ~ ron(X5,X7)
| ~ ron(X9,X1)
| ~ ron(X11,X3) ),
inference(er,[status(thm)],[742,theory(equality)]) ).
cnf(1519,plain,
( X1 != X2
| X3 != X4
| X5 != X6
| X7 != X8
| X9 != X10
| ~ rS(X11,X7,X1)
| ~ rS(X9,X11,X12)
| ~ rS(X9,X7,X5)
| ~ rline(X2)
| ~ rline(X6)
| ~ rline(X12)
| ~ rpoint(X4)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X8)
| ~ ron(X11,X12)
| ~ ron(X3,X12)
| ~ ron(X3,X1)
| ~ ron(X3,X5)
| ~ ron(X7,X12)
| ~ ron(X9,X1) ),
inference(er,[status(thm)],[1518,theory(equality)]) ).
cnf(1520,plain,
( X1 != X2
| X3 != X4
| X5 != X6
| X7 != X8
| ~ rS(X9,X5,X10)
| ~ rS(X7,X9,X11)
| ~ rS(X7,X5,X3)
| ~ rline(X10)
| ~ rline(X4)
| ~ rline(X11)
| ~ rpoint(X2)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X6)
| ~ ron(X9,X11)
| ~ ron(X1,X11)
| ~ ron(X1,X10)
| ~ ron(X1,X3)
| ~ ron(X5,X11)
| ~ ron(X7,X10) ),
inference(er,[status(thm)],[1519,theory(equality)]) ).
cnf(1521,plain,
( X1 != X2
| X3 != X4
| X5 != X6
| ~ rS(X7,X3,X8)
| ~ rS(X5,X7,X9)
| ~ rS(X5,X3,X1)
| ~ rline(X8)
| ~ rline(X2)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X4)
| ~ ron(X7,X9)
| ~ ron(X10,X9)
| ~ ron(X10,X8)
| ~ ron(X10,X1)
| ~ ron(X3,X9)
| ~ ron(X5,X8) ),
inference(er,[status(thm)],[1520,theory(equality)]) ).
cnf(1522,plain,
( X1 != X2
| X3 != X4
| ~ rS(X5,X1,X6)
| ~ rS(X3,X5,X7)
| ~ rS(X3,X1,X8)
| ~ rline(X6)
| ~ rline(X8)
| ~ rline(X7)
| ~ rpoint(X9)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ ron(X5,X7)
| ~ ron(X9,X7)
| ~ ron(X9,X6)
| ~ ron(X9,X8)
| ~ ron(X1,X7)
| ~ ron(X3,X6) ),
inference(er,[status(thm)],[1521,theory(equality)]) ).
cnf(1523,plain,
( X1 != X2
| ~ rS(X3,X4,X5)
| ~ rS(X1,X3,X6)
| ~ rS(X1,X4,X7)
| ~ rline(X5)
| ~ rline(X7)
| ~ rline(X6)
| ~ rpoint(X8)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X3,X6)
| ~ ron(X8,X6)
| ~ ron(X8,X5)
| ~ ron(X8,X7)
| ~ ron(X4,X6)
| ~ ron(X1,X5) ),
inference(er,[status(thm)],[1522,theory(equality)]) ).
cnf(1524,plain,
( ~ rS(X1,X2,X3)
| ~ rS(X4,X1,X5)
| ~ rS(X4,X2,X6)
| ~ rline(X3)
| ~ rline(X6)
| ~ rline(X5)
| ~ rpoint(X7)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X5)
| ~ ron(X7,X5)
| ~ ron(X7,X3)
| ~ ron(X7,X6)
| ~ ron(X2,X5)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[1523,theory(equality)]) ).
cnf(1532,plain,
( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
| X2 = X1
| X2 = X4
| X5 = X6
| ron(X3,X5)
| ron(X3,X6)
| X4 != X7
| X1 != X8
| X6 != X9
| X5 != X10
| X2 != X11
| ~ rS(X4,X3,X5)
| ~ rS(X1,X3,X6)
| ~ rline(X10)
| ~ rline(X9)
| ~ rpoint(X11)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rpoint(X3)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X6)
| ~ ron(X2,X5) ),
inference(er,[status(thm)],[316,theory(equality)]) ).
cnf(1533,plain,
( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
| X2 = X1
| X2 = X4
| X5 = X6
| ron(X3,X5)
| ron(X3,X6)
| X1 != X7
| X6 != X8
| X5 != X9
| X2 != X10
| ~ rS(X4,X3,X5)
| ~ rS(X1,X3,X6)
| ~ rline(X9)
| ~ rline(X8)
| ~ rpoint(X10)
| ~ rpoint(X7)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X6)
| ~ ron(X2,X5) ),
inference(er,[status(thm)],[1532,theory(equality)]) ).
cnf(1534,plain,
( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
| X2 = X1
| X2 = X4
| X5 = X6
| ron(X3,X5)
| ron(X3,X6)
| X6 != X7
| X5 != X8
| X2 != X9
| ~ rS(X4,X3,X5)
| ~ rS(X1,X3,X6)
| ~ rline(X8)
| ~ rline(X7)
| ~ rpoint(X9)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X6)
| ~ ron(X2,X5) ),
inference(er,[status(thm)],[1533,theory(equality)]) ).
cnf(1535,plain,
( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
| X2 = X1
| X2 = X4
| X5 = X6
| ron(X3,X5)
| ron(X3,X6)
| X5 != X7
| X2 != X8
| ~ rS(X4,X3,X5)
| ~ rS(X1,X3,X6)
| ~ rline(X7)
| ~ rline(X6)
| ~ rpoint(X8)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X6)
| ~ ron(X2,X5) ),
inference(er,[status(thm)],[1534,theory(equality)]) ).
cnf(1536,plain,
( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
| X2 = X1
| X2 = X4
| X5 = X6
| ron(X3,X5)
| ron(X3,X6)
| X2 != X7
| ~ rS(X4,X3,X5)
| ~ rS(X1,X3,X6)
| ~ rline(X5)
| ~ rline(X6)
| ~ rpoint(X7)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X6)
| ~ ron(X2,X5) ),
inference(er,[status(thm)],[1535,theory(equality)]) ).
cnf(1537,plain,
( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
| X2 = X1
| X2 = X4
| X5 = X6
| ron(X3,X5)
| ron(X3,X6)
| ~ rS(X4,X3,X5)
| ~ rS(X1,X3,X6)
| ~ rline(X5)
| ~ rline(X6)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X6)
| ~ ron(X2,X5) ),
inference(er,[status(thm)],[1536,theory(equality)]) ).
cnf(2079,plain,
( ~ rline(vd1197)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(spm,[status(thm)],[1107,237,theory(equality)]) ).
cnf(2080,plain,
( ~ rline(vd1234)
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ ron(vd1186,vd1234) ),
inference(spm,[status(thm)],[1107,879,theory(equality)]) ).
cnf(2085,plain,
( $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2079,429,theory(equality)]) ).
cnf(2086,plain,
( $false
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2085,870,theory(equality)]) ).
cnf(2087,plain,
( $false
| $false
| $false
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2086,862,theory(equality)]) ).
cnf(2088,plain,
~ ron(vd1201,vd1197),
inference(cn,[status(thm)],[2087,theory(equality)]) ).
cnf(2089,plain,
( $false
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ ron(vd1186,vd1234) ),
inference(rw,[status(thm)],[2080,522,theory(equality)]) ).
cnf(2090,plain,
( $false
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1186,vd1234) ),
inference(rw,[status(thm)],[2089,863,theory(equality)]) ).
cnf(2091,plain,
( $false
| $false
| $false
| ~ ron(vd1186,vd1234) ),
inference(rw,[status(thm)],[2090,862,theory(equality)]) ).
cnf(2092,plain,
~ ron(vd1186,vd1234),
inference(cn,[status(thm)],[2091,theory(equality)]) ).
cnf(2216,plain,
( ron(X1,X2)
| ~ rS(X3,X1,X4)
| ~ rS(X3,X1,X5)
| ~ rline(X2)
| ~ rline(X5)
| ~ rline(X4)
| ~ rpoint(X6)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ ron(X1,X4)
| ~ ron(X6,X4)
| ~ ron(X6,X2)
| ~ ron(X6,X5)
| ~ ron(X3,X2) ),
inference(spm,[status(thm)],[1524,976,theory(equality)]) ).
cnf(2231,plain,
( ron(vd1187,X1)
| ~ rS(vd1186,vd1187,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rpoint(X3)
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ ron(vd1187,vd1234)
| ~ ron(X3,vd1234)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(vd1186,X1) ),
inference(spm,[status(thm)],[2216,879,theory(equality)]) ).
cnf(2241,plain,
( ron(vd1187,X1)
| ~ rS(vd1186,vd1187,X2)
| ~ rline(X1)
| ~ rline(X2)
| $false
| ~ rpoint(X3)
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ ron(vd1187,vd1234)
| ~ ron(X3,vd1234)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(vd1186,X1) ),
inference(rw,[status(thm)],[2231,522,theory(equality)]) ).
cnf(2242,plain,
( ron(vd1187,X1)
| ~ rS(vd1186,vd1187,X2)
| ~ rline(X1)
| ~ rline(X2)
| $false
| ~ rpoint(X3)
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1187,vd1234)
| ~ ron(X3,vd1234)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(vd1186,X1) ),
inference(rw,[status(thm)],[2241,863,theory(equality)]) ).
cnf(2243,plain,
( ron(vd1187,X1)
| ~ rS(vd1186,vd1187,X2)
| ~ rline(X1)
| ~ rline(X2)
| $false
| ~ rpoint(X3)
| $false
| $false
| ~ ron(vd1187,vd1234)
| ~ ron(X3,vd1234)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(vd1186,X1) ),
inference(rw,[status(thm)],[2242,862,theory(equality)]) ).
cnf(2244,plain,
( ron(vd1187,X1)
| ~ rS(vd1186,vd1187,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(vd1187,vd1234)
| ~ ron(X3,vd1234)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(vd1186,X1) ),
inference(cn,[status(thm)],[2243,theory(equality)]) ).
cnf(2245,plain,
( ron(vd1187,X1)
| ~ rline(X1)
| ~ rline(vd1234)
| ~ rpoint(X2)
| ~ ron(vd1187,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(vd1186,X1)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[2244,879,theory(equality)]) ).
cnf(2246,plain,
( ron(vd1187,X1)
| ~ rline(X1)
| $false
| ~ rpoint(X2)
| ~ ron(vd1187,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(vd1186,X1)
| ~ ron(X2,X1) ),
inference(rw,[status(thm)],[2245,522,theory(equality)]) ).
cnf(2247,plain,
( ron(vd1187,X1)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ ron(vd1187,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(vd1186,X1)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[2246,theory(equality)]) ).
cnf(2248,plain,
( ron(vd1187,X1)
| ~ rline(X1)
| ~ rpoint(vd1185)
| ~ ron(vd1187,vd1234)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X1) ),
inference(spm,[status(thm)],[2247,737,theory(equality)]) ).
cnf(2252,plain,
( ron(vd1187,X1)
| ~ rline(X1)
| $false
| ~ ron(vd1187,vd1234)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[2248,864,theory(equality)]) ).
cnf(2253,plain,
( ron(vd1187,X1)
| ~ rline(X1)
| ~ ron(vd1187,vd1234)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X1) ),
inference(cn,[status(thm)],[2252,theory(equality)]) ).
cnf(2258,plain,
( ~ rline(X1)
| ~ ron(vd1187,vd1234)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X1) ),
inference(csr,[status(thm)],[2253,233]) ).
cnf(2260,plain,
( ~ ron(vd1187,vd1234)
| ~ ron(vd1186,vd1197)
| ~ ron(vd1185,vd1197) ),
inference(spm,[status(thm)],[2258,429,theory(equality)]) ).
cnf(2265,plain,
( ~ ron(vd1187,vd1234)
| $false
| ~ ron(vd1185,vd1197) ),
inference(rw,[status(thm)],[2260,713,theory(equality)]) ).
cnf(2266,plain,
( ~ ron(vd1187,vd1234)
| $false
| $false ),
inference(rw,[status(thm)],[2265,238,theory(equality)]) ).
cnf(2267,plain,
~ ron(vd1187,vd1234),
inference(cn,[status(thm)],[2266,theory(equality)]) ).
cnf(8772,plain,
( vplus(vangle(X1,X2,vd1187),vangle(vd1187,X2,vd1201)) = vangle(X1,X2,vd1201)
| vd1197 = X3
| X2 = vd1201
| X2 = X1
| ron(vd1187,X3)
| ron(vd1187,vd1197)
| ~ rS(X1,vd1187,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(spm,[status(thm)],[1537,237,theory(equality)]) ).
cnf(8789,plain,
( vplus(vangle(X1,X2,vd1187),vangle(vd1187,X2,vd1201)) = vangle(X1,X2,vd1201)
| vd1197 = X3
| X2 = vd1201
| X2 = X1
| ron(vd1187,X3)
| ron(vd1187,vd1197)
| ~ rS(X1,vd1187,X3)
| $false
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(rw,[status(thm)],[8772,429,theory(equality)]) ).
cnf(8790,plain,
( vplus(vangle(X1,X2,vd1187),vangle(vd1187,X2,vd1201)) = vangle(X1,X2,vd1201)
| vd1197 = X3
| X2 = vd1201
| X2 = X1
| ron(vd1187,X3)
| ron(vd1187,vd1197)
| ~ rS(X1,vd1187,X3)
| $false
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1201,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(rw,[status(thm)],[8789,870,theory(equality)]) ).
cnf(8791,plain,
( vplus(vangle(X1,X2,vd1187),vangle(vd1187,X2,vd1201)) = vangle(X1,X2,vd1201)
| vd1197 = X3
| X2 = vd1201
| X2 = X1
| ron(vd1187,X3)
| ron(vd1187,vd1197)
| ~ rS(X1,vd1187,X3)
| $false
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| $false
| $false
| ~ ron(vd1201,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(rw,[status(thm)],[8790,862,theory(equality)]) ).
cnf(8792,plain,
( vplus(vangle(X1,X2,vd1187),vangle(vd1187,X2,vd1201)) = vangle(X1,X2,vd1201)
| vd1197 = X3
| X2 = vd1201
| X2 = X1
| ron(vd1187,X3)
| ron(vd1187,vd1197)
| ~ rS(X1,vd1187,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(vd1201,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(cn,[status(thm)],[8791,theory(equality)]) ).
cnf(8793,plain,
( vplus(vangle(X1,X2,vd1187),vangle(vd1187,X2,vd1201)) = vangle(X1,X2,vd1201)
| vd1197 = X3
| X2 = vd1201
| X2 = X1
| ron(vd1187,X3)
| ~ rS(X1,vd1187,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(vd1201,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(sr,[status(thm)],[8792,489,theory(equality)]) ).
cnf(174360,plain,
( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
| X1 = vd1201
| vd1197 = vd1234
| X1 = vd1186
| ron(vd1187,vd1234)
| ~ rline(vd1234)
| ~ rpoint(X1)
| ~ rpoint(vd1186)
| ~ ron(vd1201,vd1234)
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1234) ),
inference(spm,[status(thm)],[8793,879,theory(equality)]) ).
cnf(174417,plain,
( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
| X1 = vd1201
| vd1197 = vd1234
| X1 = vd1186
| ron(vd1187,vd1234)
| $false
| ~ rpoint(X1)
| ~ rpoint(vd1186)
| ~ ron(vd1201,vd1234)
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1234) ),
inference(rw,[status(thm)],[174360,522,theory(equality)]) ).
cnf(174418,plain,
( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
| X1 = vd1201
| vd1197 = vd1234
| X1 = vd1186
| ron(vd1187,vd1234)
| $false
| ~ rpoint(X1)
| $false
| ~ ron(vd1201,vd1234)
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1234) ),
inference(rw,[status(thm)],[174417,863,theory(equality)]) ).
cnf(174419,plain,
( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
| X1 = vd1201
| vd1197 = vd1234
| X1 = vd1186
| ron(vd1187,vd1234)
| $false
| ~ rpoint(X1)
| $false
| $false
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1234) ),
inference(rw,[status(thm)],[174418,777,theory(equality)]) ).
cnf(174420,plain,
( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
| X1 = vd1201
| vd1197 = vd1234
| X1 = vd1186
| ron(vd1187,vd1234)
| $false
| ~ rpoint(X1)
| $false
| $false
| $false
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1234) ),
inference(rw,[status(thm)],[174419,713,theory(equality)]) ).
cnf(174421,plain,
( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
| X1 = vd1201
| vd1197 = vd1234
| X1 = vd1186
| ron(vd1187,vd1234)
| ~ rpoint(X1)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1234) ),
inference(cn,[status(thm)],[174420,theory(equality)]) ).
cnf(174422,plain,
( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
| X1 = vd1201
| vd1234 = vd1197
| X1 = vd1186
| ~ rpoint(X1)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1234) ),
inference(sr,[status(thm)],[174421,2267,theory(equality)]) ).
cnf(174517,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201)
| vd1234 = vd1197
| vd1185 = vd1186
| vd1185 = vd1201
| ~ rpoint(vd1185)
| ~ ron(vd1185,vd1197)
| ~ ron(vd1185,vd1234) ),
inference(spm,[status(thm)],[174422,871,theory(equality)]) ).
cnf(174572,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201)
| vd1234 = vd1197
| vd1185 = vd1186
| vd1185 = vd1201
| $false
| ~ ron(vd1185,vd1197)
| ~ ron(vd1185,vd1234) ),
inference(rw,[status(thm)],[174517,864,theory(equality)]) ).
cnf(174573,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201)
| vd1234 = vd1197
| vd1185 = vd1186
| vd1185 = vd1201
| $false
| $false
| ~ ron(vd1185,vd1234) ),
inference(rw,[status(thm)],[174572,238,theory(equality)]) ).
cnf(174574,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201)
| vd1234 = vd1197
| vd1185 = vd1186
| vd1185 = vd1201
| $false
| $false
| $false ),
inference(rw,[status(thm)],[174573,737,theory(equality)]) ).
cnf(174575,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201)
| vd1234 = vd1197
| vd1185 = vd1186
| vd1185 = vd1201 ),
inference(cn,[status(thm)],[174574,theory(equality)]) ).
cnf(174576,plain,
( vd1234 = vd1197
| vd1186 = vd1185
| vd1201 = vd1185 ),
inference(sr,[status(thm)],[174575,909,theory(equality)]) ).
cnf(174593,plain,
( ron(vd1201,vd1197)
| vd1201 = vd1185
| vd1186 = vd1185 ),
inference(spm,[status(thm)],[777,174576,theory(equality)]) ).
cnf(174735,plain,
( vd1201 = vd1185
| vd1186 = vd1185 ),
inference(sr,[status(thm)],[174593,2088,theory(equality)]) ).
cnf(174777,plain,
( vd1186 = vd1185
| ~ ron(vd1185,vd1232) ),
inference(spm,[status(thm)],[755,174735,theory(equality)]) ).
cnf(175587,plain,
( vd1186 = vd1185
| $false ),
inference(rw,[status(thm)],[174777,234,theory(equality)]) ).
cnf(175588,plain,
vd1186 = vd1185,
inference(cn,[status(thm)],[175587,theory(equality)]) ).
cnf(175665,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2092,175588,theory(equality)]),737,theory(equality)]) ).
cnf(175666,plain,
$false,
inference(cn,[status(thm)],[175665,theory(equality)]) ).
cnf(175667,plain,
$false,
175666,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO295+1.p
% --creating new selector for []
% -running prover on /tmp/tmpOayS_U/sel_GEO295+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO295+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO295+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO295+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
%
%------------------------------------------------------------------------------