TSTP Solution File: GEO292+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO292+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 09:21:51 EST 2010
% Result : Theorem 20.93s
% Output : CNFRefutation 20.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 19
% Syntax : Number of formulae : 115 ( 54 unt; 0 def)
% Number of atoms : 828 ( 310 equ)
% Maximal formula atoms : 70 ( 7 avg)
% Number of connectives : 1149 ( 436 ~; 549 |; 158 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 234 ( 0 sgn 90 !; 37 ?)
% 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/tmpkJo_17/sel_GEO292+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/tmpkJo_17/sel_GEO292+1.p_1','pred(s1(plural(293)), 0)') ).
fof(8,axiom,
~ ron(vd1187,vd1197),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','neg(neg(270))') ).
fof(10,axiom,
rS(vd1201,vd1187,vd1197),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(11,axiom,
ron(vd1185,vd1197),
file('/tmp/tmpkJo_17/sel_GEO292+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/tmpkJo_17/sel_GEO292+1.p_1','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(41,axiom,
rline(vd1197),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','pred(269, 0)') ).
fof(45,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/tmpkJo_17/sel_GEO292+1.p_1','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(77,axiom,
rS(vd1186,vd1201,vd1232),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','holds(298, 1237, 0)') ).
fof(78,conjecture,
vangle(vd1186,vd1185,vd1187) = vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','holds(299, 1238, 0)') ).
fof(80,axiom,
rS(vd1187,vd1201,vd1197),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','holds(295, 1236, 0)') ).
fof(81,axiom,
vd1199 = vd1185,
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','holds(291, 1230, 0)') ).
fof(82,axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','holds(292, 1231, 0)') ).
fof(87,axiom,
ron(vd1187,vd1232),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','pred(s2(plural(293)), 0)') ).
fof(104,axiom,
rline(vd1232),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','pred(293, 0)') ).
fof(106,axiom,
ron(vd1186,vd1197),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','pred(s2(plural(269)), 0)') ).
fof(119,axiom,
~ ron(vd1201,vd1232),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','neg(neg(296))') ).
fof(120,axiom,
? [X634] :
( vd1201 = X634
& rpoint(X634) ),
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','qe(s3(plural(271)))') ).
fof(137,axiom,
vd1200 = vd1186,
file('/tmp/tmpkJo_17/sel_GEO292+1.p_1','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(141,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(assume_negation,[status(cth)],[78]) ).
fof(145,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(150,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(155,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)],[45,theory(equality)]) ).
fof(163,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(fof_simplification,[status(thm)],[141,theory(equality)]) ).
fof(171,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],[119,theory(equality)]) ).
fof(209,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(210,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)],[209]) ).
fof(211,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)],[210]) ).
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)
& 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)],[211]) ).
cnf(222,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(223,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[212]) ).
cnf(224,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(225,plain,
vd1186 = esk5_0,
inference(split_conjunct,[status(thm)],[212]) ).
cnf(226,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(227,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[212]) ).
cnf(231,plain,
( ~ rline(X1)
| ~ ron(vd1185,X1)
| ~ ron(vd1186,X1)
| ~ ron(vd1187,X1) ),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(232,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(233,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[145]) ).
cnf(235,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(236,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],[11]) ).
fof(310,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)],[150]) ).
fof(311,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)],[310]) ).
fof(312,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)],[311]) ).
fof(313,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)],[312]) ).
cnf(314,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)],[313]) ).
cnf(418,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],[41]) ).
fof(432,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)],[155]) ).
fof(433,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)],[432]) ).
fof(434,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)],[433]) ).
cnf(435,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)],[434]) ).
cnf(577,plain,
rS(vd1186,vd1201,vd1232),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(578,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(582,plain,
rS(vd1187,vd1201,vd1197),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(583,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],[81]) ).
cnf(584,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(605,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(699,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(706,plain,
ron(vd1186,vd1197),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(748,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[171]) ).
fof(749,plain,
? [X635] :
( vd1201 = X635
& rpoint(X635) ),
inference(variable_rename,[status(thm)],[120]) ).
fof(750,plain,
( vd1201 = esk49_0
& rpoint(esk49_0) ),
inference(skolemize,[status(esa)],[749]) ).
cnf(751,plain,
rpoint(esk49_0),
inference(split_conjunct,[status(thm)],[750]) ).
cnf(752,plain,
vd1201 = esk49_0,
inference(split_conjunct,[status(thm)],[750]) ).
cnf(841,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],[137]) ).
cnf(859,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[226,227,theory(equality)]) ).
cnf(860,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[224,225,theory(equality)]) ).
cnf(861,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[222,223,theory(equality)]) ).
cnf(867,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[751,752,theory(equality)]) ).
cnf(868,plain,
vangle(vd1186,vd1185,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[584,841,theory(equality)]),583,theory(equality)]) ).
cnf(906,negated_conjecture,
vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) != vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[578,868,theory(equality)]) ).
cnf(924,plain,
( ~ ron(vd1187,vd1232)
| ~ ron(vd1186,vd1232)
| ~ ron(vd1185,vd1232) ),
inference(spm,[status(thm)],[231,699,theory(equality)]) ).
cnf(927,plain,
( $false
| ~ ron(vd1186,vd1232)
| ~ ron(vd1185,vd1232) ),
inference(rw,[status(thm)],[924,605,theory(equality)]) ).
cnf(928,plain,
( $false
| ~ ron(vd1186,vd1232)
| $false ),
inference(rw,[status(thm)],[927,232,theory(equality)]) ).
cnf(929,plain,
~ ron(vd1186,vd1232),
inference(cn,[status(thm)],[928,theory(equality)]) ).
cnf(1103,plain,
( X1 != X2
| X3 != X4
| ~ rS(X3,X5,X1)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[435,theory(equality)]) ).
cnf(1104,plain,
( X1 != X2
| ~ rS(X1,X3,X4)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1103,theory(equality)]) ).
cnf(1105,plain,
( ~ rS(X1,X2,X3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[1104,theory(equality)]) ).
cnf(1528,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)],[314,theory(equality)]) ).
cnf(1529,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)],[1528,theory(equality)]) ).
cnf(1530,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)],[1529,theory(equality)]) ).
cnf(1531,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)],[1530,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)
| 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)],[1531,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)
| ~ 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)],[1532,theory(equality)]) ).
cnf(2054,plain,
( ~ rline(vd1197)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(spm,[status(thm)],[1105,235,theory(equality)]) ).
cnf(2063,plain,
( $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2054,418,theory(equality)]) ).
cnf(2064,plain,
( $false
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2063,867,theory(equality)]) ).
cnf(2065,plain,
( $false
| $false
| $false
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2064,859,theory(equality)]) ).
cnf(2066,plain,
~ ron(vd1201,vd1197),
inference(cn,[status(thm)],[2065,theory(equality)]) ).
cnf(8888,plain,
( vplus(vangle(X1,X2,vd1201),vangle(vd1201,X2,vd1187)) = vangle(X1,X2,vd1187)
| vd1197 = X3
| X2 = vd1187
| X2 = X1
| ron(vd1201,X3)
| ron(vd1201,vd1197)
| ~ rS(X1,vd1201,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ ron(vd1187,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(spm,[status(thm)],[1533,582,theory(equality)]) ).
cnf(8901,plain,
( vplus(vangle(X1,X2,vd1201),vangle(vd1201,X2,vd1187)) = vangle(X1,X2,vd1187)
| vd1197 = X3
| X2 = vd1187
| X2 = X1
| ron(vd1201,X3)
| ron(vd1201,vd1197)
| ~ rS(X1,vd1201,X3)
| $false
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ ron(vd1187,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(rw,[status(thm)],[8888,418,theory(equality)]) ).
cnf(8902,plain,
( vplus(vangle(X1,X2,vd1201),vangle(vd1201,X2,vd1187)) = vangle(X1,X2,vd1187)
| vd1197 = X3
| X2 = vd1187
| X2 = X1
| ron(vd1201,X3)
| ron(vd1201,vd1197)
| ~ rS(X1,vd1201,X3)
| $false
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| $false
| ~ rpoint(vd1201)
| ~ ron(vd1187,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(rw,[status(thm)],[8901,859,theory(equality)]) ).
cnf(8903,plain,
( vplus(vangle(X1,X2,vd1201),vangle(vd1201,X2,vd1187)) = vangle(X1,X2,vd1187)
| vd1197 = X3
| X2 = vd1187
| X2 = X1
| ron(vd1201,X3)
| ron(vd1201,vd1197)
| ~ rS(X1,vd1201,X3)
| $false
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| $false
| $false
| ~ ron(vd1187,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(rw,[status(thm)],[8902,867,theory(equality)]) ).
cnf(8904,plain,
( vplus(vangle(X1,X2,vd1201),vangle(vd1201,X2,vd1187)) = vangle(X1,X2,vd1187)
| vd1197 = X3
| X2 = vd1187
| X2 = X1
| ron(vd1201,X3)
| ron(vd1201,vd1197)
| ~ rS(X1,vd1201,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(vd1187,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(cn,[status(thm)],[8903,theory(equality)]) ).
cnf(8905,plain,
( vplus(vangle(X1,X2,vd1201),vangle(vd1201,X2,vd1187)) = vangle(X1,X2,vd1187)
| vd1197 = X3
| X2 = vd1187
| X2 = X1
| ron(vd1201,X3)
| ~ rS(X1,vd1201,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(vd1187,X3)
| ~ ron(X1,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,vd1197) ),
inference(sr,[status(thm)],[8904,2066,theory(equality)]) ).
cnf(186081,plain,
( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
| X1 = vd1187
| vd1197 = vd1232
| X1 = vd1186
| ron(vd1201,vd1232)
| ~ rline(vd1232)
| ~ rpoint(X1)
| ~ rpoint(vd1186)
| ~ ron(vd1187,vd1232)
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1232) ),
inference(spm,[status(thm)],[8905,577,theory(equality)]) ).
cnf(186138,plain,
( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
| X1 = vd1187
| vd1197 = vd1232
| X1 = vd1186
| ron(vd1201,vd1232)
| $false
| ~ rpoint(X1)
| ~ rpoint(vd1186)
| ~ ron(vd1187,vd1232)
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1232) ),
inference(rw,[status(thm)],[186081,699,theory(equality)]) ).
cnf(186139,plain,
( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
| X1 = vd1187
| vd1197 = vd1232
| X1 = vd1186
| ron(vd1201,vd1232)
| $false
| ~ rpoint(X1)
| $false
| ~ ron(vd1187,vd1232)
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1232) ),
inference(rw,[status(thm)],[186138,860,theory(equality)]) ).
cnf(186140,plain,
( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
| X1 = vd1187
| vd1197 = vd1232
| X1 = vd1186
| ron(vd1201,vd1232)
| $false
| ~ rpoint(X1)
| $false
| $false
| ~ ron(vd1186,vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1232) ),
inference(rw,[status(thm)],[186139,605,theory(equality)]) ).
cnf(186141,plain,
( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
| X1 = vd1187
| vd1197 = vd1232
| X1 = vd1186
| ron(vd1201,vd1232)
| $false
| ~ rpoint(X1)
| $false
| $false
| $false
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1232) ),
inference(rw,[status(thm)],[186140,706,theory(equality)]) ).
cnf(186142,plain,
( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
| X1 = vd1187
| vd1197 = vd1232
| X1 = vd1186
| ron(vd1201,vd1232)
| ~ rpoint(X1)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1232) ),
inference(cn,[status(thm)],[186141,theory(equality)]) ).
cnf(186143,plain,
( vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187)
| X1 = vd1187
| vd1232 = vd1197
| X1 = vd1186
| ~ rpoint(X1)
| ~ ron(X1,vd1197)
| ~ ron(X1,vd1232) ),
inference(sr,[status(thm)],[186142,748,theory(equality)]) ).
cnf(192011,negated_conjecture,
( vd1232 = vd1197
| vd1185 = vd1186
| vd1185 = vd1187
| vangle(vd1186,vd1185,vd1187) != vangle(vd1186,vd1185,vd1201)
| ~ rpoint(vd1185)
| ~ ron(vd1185,vd1197)
| ~ ron(vd1185,vd1232) ),
inference(spm,[status(thm)],[906,186143,theory(equality)]) ).
cnf(192064,negated_conjecture,
( vd1232 = vd1197
| vd1185 = vd1186
| vd1185 = vd1187
| $false
| ~ rpoint(vd1185)
| ~ ron(vd1185,vd1197)
| ~ ron(vd1185,vd1232) ),
inference(rw,[status(thm)],[192011,868,theory(equality)]) ).
cnf(192065,negated_conjecture,
( vd1232 = vd1197
| vd1185 = vd1186
| vd1185 = vd1187
| $false
| $false
| ~ ron(vd1185,vd1197)
| ~ ron(vd1185,vd1232) ),
inference(rw,[status(thm)],[192064,861,theory(equality)]) ).
cnf(192066,negated_conjecture,
( vd1232 = vd1197
| vd1185 = vd1186
| vd1185 = vd1187
| $false
| $false
| $false
| ~ ron(vd1185,vd1232) ),
inference(rw,[status(thm)],[192065,236,theory(equality)]) ).
cnf(192067,negated_conjecture,
( vd1232 = vd1197
| vd1185 = vd1186
| vd1185 = vd1187
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[192066,232,theory(equality)]) ).
cnf(192068,negated_conjecture,
( vd1232 = vd1197
| vd1185 = vd1186
| vd1185 = vd1187 ),
inference(cn,[status(thm)],[192067,theory(equality)]) ).
cnf(192078,negated_conjecture,
( ron(vd1187,vd1197)
| vd1187 = vd1185
| vd1186 = vd1185 ),
inference(spm,[status(thm)],[605,192068,theory(equality)]) ).
cnf(192220,negated_conjecture,
( vd1187 = vd1185
| vd1186 = vd1185 ),
inference(sr,[status(thm)],[192078,233,theory(equality)]) ).
cnf(192253,negated_conjecture,
( vd1186 = vd1185
| ~ ron(vd1185,vd1197) ),
inference(spm,[status(thm)],[233,192220,theory(equality)]) ).
cnf(192640,negated_conjecture,
( vd1186 = vd1185
| $false ),
inference(rw,[status(thm)],[192253,236,theory(equality)]) ).
cnf(192641,negated_conjecture,
vd1186 = vd1185,
inference(cn,[status(thm)],[192640,theory(equality)]) ).
cnf(192691,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[929,192641,theory(equality)]),232,theory(equality)]) ).
cnf(192692,plain,
$false,
inference(cn,[status(thm)],[192691,theory(equality)]) ).
cnf(192693,plain,
$false,
192692,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO292+1.p
% --creating new selector for []
% -running prover on /tmp/tmpkJo_17/sel_GEO292+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO292+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO292+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO292+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
%
%------------------------------------------------------------------------------