TSTP Solution File: GEO296+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO296+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 09:22:56 EST 2010
% Result : Theorem 17.89s
% Output : CNFRefutation 17.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 22
% Syntax : Number of formulae : 133 ( 58 unt; 0 def)
% Number of atoms : 937 ( 373 equ)
% Maximal formula atoms : 70 ( 7 avg)
% Number of connectives : 1262 ( 458 ~; 632 |; 165 &)
% ( 2 <=>; 5 =>; 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 : 22 ( 22 usr; 19 con; 0-3 aty)
% Number of variables : 269 ( 0 sgn 111 !; 40 ?)
% 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/tmp1k52dt/sel_GEO296+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/tmp1k52dt/sel_GEO296+1.p_1','pred(s1(plural(293)), 0)') ).
fof(9,axiom,
~ rS(vd1186,vd1201,vd1232),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','neg(298)') ).
fof(11,axiom,
rS(vd1201,vd1187,vd1197),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(12,axiom,
ron(vd1185,vd1197),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','pred(s1(plural(269)), 0)') ).
fof(28,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/tmp1k52dt/sel_GEO296+1.p_1','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(43,axiom,
rline(vd1197),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','pred(269, 0)') ).
fof(47,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/tmp1k52dt/sel_GEO296+1.p_1','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(56,axiom,
~ ron(vd1187,vd1197),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','neg(neg(270))') ).
fof(63,axiom,
rline(vd1234),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','pred(294, 0)') ).
fof(81,axiom,
vd1199 = vd1185,
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','holds(291, 1230, 0)') ).
fof(82,axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','holds(292, 1231, 0)') ).
fof(87,axiom,
ron(vd1187,vd1232),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','pred(s2(plural(293)), 0)') ).
fof(102,axiom,
! [X566,X567,X568] :
( ( X566 != X568
& X566 != X567
& ? [X569] :
( X568 = X569
& rpoint(X569) )
& ? [X570] :
( X567 = X570
& rpoint(X570) )
& ? [X571] :
( X566 = X571
& rpoint(X571) ) )
=> vangle(X566,X567,X568) = vangle(X568,X567,X566) ),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(104,axiom,
rline(vd1232),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','pred(293, 0)') ).
fof(106,axiom,
ron(vd1186,vd1197),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','pred(s2(plural(269)), 0)') ).
fof(114,axiom,
ron(vd1185,vd1234),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','pred(s1(plural(294)), 0)') ).
fof(120,axiom,
~ ron(vd1201,vd1232),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','neg(neg(296))') ).
fof(121,axiom,
? [X632] :
( vd1201 = X632
& rpoint(X632) ),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','qe(s3(plural(271)))') ).
fof(137,axiom,
rS(vd1200,vd1187,vd1234),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','holds(306, 1242, 0)') ).
fof(138,axiom,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','holds(307, 1243, 0)') ).
fof(141,axiom,
vd1200 = vd1186,
file('/tmp/tmp1k52dt/sel_GEO296+1.p_1','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(150,plain,
~ rS(vd1186,vd1201,vd1232),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(155,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)],[28,theory(equality)]) ).
fof(160,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)],[47,theory(equality)]) ).
fof(164,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(175,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],[120,theory(equality)]) ).
fof(214,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(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)
& ? [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)],[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(skolemize,[status(esa)],[215]) ).
fof(217,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)],[216]) ).
cnf(227,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(228,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[217]) ).
cnf(229,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(230,plain,
vd1186 = esk5_0,
inference(split_conjunct,[status(thm)],[217]) ).
cnf(231,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(232,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[217]) ).
cnf(237,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(239,plain,
~ rS(vd1186,vd1201,vd1232),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(241,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(242,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],[12]) ).
fof(316,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)],[155]) ).
fof(317,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)],[316]) ).
fof(318,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)],[317]) ).
fof(319,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)],[318]) ).
cnf(321,plain,
( X1 = X4
| X1 = X5
| ron(X6,X2)
| ron(X6,X3)
| X2 = X3
| rS(X4,X6,X3)
| ~ 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
| vangle(X4,X1,X5) != vplus(vangle(X4,X1,X6),vangle(X6,X1,X5)) ),
inference(split_conjunct,[status(thm)],[319]) ).
cnf(433,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],[43]) ).
fof(447,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)],[160]) ).
fof(448,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)],[447]) ).
fof(449,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)],[448]) ).
cnf(450,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)],[449]) ).
cnf(493,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[164]) ).
cnf(526,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(595,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],[81]) ).
cnf(596,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(617,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],[87]) ).
fof(703,plain,
! [X566,X567,X568] :
( X566 = X568
| X566 = X567
| ! [X569] :
( X568 != X569
| ~ rpoint(X569) )
| ! [X570] :
( X567 != X570
| ~ rpoint(X570) )
| ! [X571] :
( X566 != X571
| ~ rpoint(X571) )
| vangle(X566,X567,X568) = vangle(X568,X567,X566) ),
inference(fof_nnf,[status(thm)],[102]) ).
fof(704,plain,
! [X572,X573,X574] :
( X572 = X574
| X572 = X573
| ! [X575] :
( X574 != X575
| ~ rpoint(X575) )
| ! [X576] :
( X573 != X576
| ~ rpoint(X576) )
| ! [X577] :
( X572 != X577
| ~ rpoint(X577) )
| vangle(X572,X573,X574) = vangle(X574,X573,X572) ),
inference(variable_rename,[status(thm)],[703]) ).
fof(705,plain,
! [X572,X573,X574,X575,X576,X577] :
( X572 != X577
| ~ rpoint(X577)
| X573 != X576
| ~ rpoint(X576)
| X574 != X575
| ~ rpoint(X575)
| X572 = X574
| X572 = X573
| vangle(X572,X573,X574) = vangle(X574,X573,X572) ),
inference(shift_quantors,[status(thm)],[704]) ).
cnf(706,plain,
( vangle(X1,X2,X3) = vangle(X3,X2,X1)
| X1 = X2
| X1 = X3
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X1 != X6 ),
inference(split_conjunct,[status(thm)],[705]) ).
cnf(710,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(717,plain,
ron(vd1186,vd1197),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(749,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(767,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[175]) ).
fof(768,plain,
? [X633] :
( vd1201 = X633
& rpoint(X633) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(769,plain,
( vd1201 = esk53_0
& rpoint(esk53_0) ),
inference(skolemize,[status(esa)],[768]) ).
cnf(770,plain,
rpoint(esk53_0),
inference(split_conjunct,[status(thm)],[769]) ).
cnf(771,plain,
vd1201 = esk53_0,
inference(split_conjunct,[status(thm)],[769]) ).
cnf(846,plain,
rS(vd1200,vd1187,vd1234),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(847,plain,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(split_conjunct,[status(thm)],[138]) ).
cnf(850,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],[141]) ).
cnf(868,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[231,232,theory(equality)]) ).
cnf(869,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[229,230,theory(equality)]) ).
cnf(870,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[227,228,theory(equality)]) ).
cnf(876,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[770,771,theory(equality)]) ).
cnf(880,plain,
vangle(vd1186,vd1185,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[596,850,theory(equality)]),595,theory(equality)]) ).
cnf(884,plain,
rS(vd1186,vd1187,vd1234),
inference(rw,[status(thm)],[846,850,theory(equality)]) ).
cnf(905,plain,
vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[847,880,theory(equality)]) ).
cnf(1108,plain,
( vangle(X1,X2,X3) = vangle(X3,X2,X1)
| X1 = X2
| X1 = X3
| X2 != X4
| X1 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[706,theory(equality)]) ).
cnf(1109,plain,
( vangle(X1,X2,X3) = vangle(X3,X2,X1)
| X1 = X2
| X1 = X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[1108,theory(equality)]) ).
cnf(1110,plain,
( vangle(X1,X2,X3) = vangle(X3,X2,X1)
| X1 = X2
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[1109,theory(equality)]) ).
cnf(1117,plain,
( X1 != X2
| X3 != X4
| ~ rS(X3,X5,X1)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[450,theory(equality)]) ).
cnf(1118,plain,
( X1 != X2
| ~ rS(X1,X3,X4)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1117,theory(equality)]) ).
cnf(1119,plain,
( ~ rS(X1,X2,X3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[1118,theory(equality)]) ).
cnf(1521,plain,
( X1 = X2
| X1 = X3
| X4 = X5
| rS(X2,X6,X5)
| ron(X6,X4)
| ron(X6,X5)
| vplus(vangle(X2,X1,X6),vangle(X6,X1,X3)) != vangle(X2,X1,X3)
| X3 != X7
| X2 != X8
| X5 != X9
| X4 != X10
| X1 != X11
| ~ rline(X10)
| ~ rline(X9)
| ~ rpoint(X11)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rpoint(X6)
| ~ ron(X3,X5)
| ~ ron(X2,X4)
| ~ ron(X1,X5)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[321,theory(equality)]) ).
cnf(1522,plain,
( X1 = X2
| X1 = X3
| X4 = X5
| rS(X2,X6,X5)
| ron(X6,X4)
| ron(X6,X5)
| vplus(vangle(X2,X1,X6),vangle(X6,X1,X3)) != vangle(X2,X1,X3)
| X2 != X7
| X5 != X8
| X4 != X9
| X1 != X10
| ~ rline(X9)
| ~ rline(X8)
| ~ rpoint(X10)
| ~ rpoint(X7)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ ron(X3,X5)
| ~ ron(X2,X4)
| ~ ron(X1,X5)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1521,theory(equality)]) ).
cnf(1523,plain,
( X1 = X2
| X1 = X3
| X4 = X5
| rS(X2,X6,X5)
| ron(X6,X4)
| ron(X6,X5)
| vplus(vangle(X2,X1,X6),vangle(X6,X1,X3)) != vangle(X2,X1,X3)
| X5 != X7
| X4 != X8
| X1 != X9
| ~ rline(X8)
| ~ rline(X7)
| ~ rpoint(X9)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ ron(X3,X5)
| ~ ron(X2,X4)
| ~ ron(X1,X5)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1522,theory(equality)]) ).
cnf(1524,plain,
( X1 = X2
| X1 = X3
| X4 = X5
| rS(X2,X6,X5)
| ron(X6,X4)
| ron(X6,X5)
| vplus(vangle(X2,X1,X6),vangle(X6,X1,X3)) != vangle(X2,X1,X3)
| X4 != X7
| X1 != X8
| ~ rline(X7)
| ~ rline(X5)
| ~ rpoint(X8)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ ron(X3,X5)
| ~ ron(X2,X4)
| ~ ron(X1,X5)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1523,theory(equality)]) ).
cnf(1525,plain,
( X1 = X2
| X1 = X3
| X4 = X5
| rS(X2,X6,X5)
| ron(X6,X4)
| ron(X6,X5)
| vplus(vangle(X2,X1,X6),vangle(X6,X1,X3)) != vangle(X2,X1,X3)
| X1 != X7
| ~ rline(X4)
| ~ rline(X5)
| ~ rpoint(X7)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ ron(X3,X5)
| ~ ron(X2,X4)
| ~ ron(X1,X5)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1524,theory(equality)]) ).
cnf(1526,plain,
( X1 = X2
| X1 = X3
| X4 = X5
| rS(X2,X6,X5)
| ron(X6,X4)
| ron(X6,X5)
| vplus(vangle(X2,X1,X6),vangle(X6,X1,X3)) != vangle(X2,X1,X3)
| ~ rline(X4)
| ~ rline(X5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ ron(X3,X5)
| ~ ron(X2,X4)
| ~ ron(X1,X5)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1525,theory(equality)]) ).
cnf(2076,plain,
( ~ rline(vd1197)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(spm,[status(thm)],[1119,241,theory(equality)]) ).
cnf(2077,plain,
( ~ rline(vd1234)
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ ron(vd1186,vd1234) ),
inference(spm,[status(thm)],[1119,884,theory(equality)]) ).
cnf(2082,plain,
( $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2076,433,theory(equality)]) ).
cnf(2083,plain,
( $false
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2082,876,theory(equality)]) ).
cnf(2084,plain,
( $false
| $false
| $false
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2083,868,theory(equality)]) ).
cnf(2085,plain,
~ ron(vd1201,vd1197),
inference(cn,[status(thm)],[2084,theory(equality)]) ).
cnf(2086,plain,
( $false
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ ron(vd1186,vd1234) ),
inference(rw,[status(thm)],[2077,526,theory(equality)]) ).
cnf(2087,plain,
( $false
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1186,vd1234) ),
inference(rw,[status(thm)],[2086,869,theory(equality)]) ).
cnf(2088,plain,
( $false
| $false
| $false
| ~ ron(vd1186,vd1234) ),
inference(rw,[status(thm)],[2087,868,theory(equality)]) ).
cnf(2089,plain,
~ ron(vd1186,vd1234),
inference(cn,[status(thm)],[2088,theory(equality)]) ).
cnf(2776,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) = vangle(vd1186,vd1185,vd1201)
| vd1187 = vd1201
| vd1187 = vd1185
| ~ rpoint(vd1187)
| ~ rpoint(vd1185)
| ~ rpoint(vd1201) ),
inference(spm,[status(thm)],[905,1110,theory(equality)]) ).
cnf(2817,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) = vangle(vd1186,vd1185,vd1201)
| vd1187 = vd1201
| vd1187 = vd1185
| $false
| ~ rpoint(vd1185)
| ~ rpoint(vd1201) ),
inference(rw,[status(thm)],[2776,868,theory(equality)]) ).
cnf(2818,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) = vangle(vd1186,vd1185,vd1201)
| vd1187 = vd1201
| vd1187 = vd1185
| $false
| $false
| ~ rpoint(vd1201) ),
inference(rw,[status(thm)],[2817,870,theory(equality)]) ).
cnf(2819,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) = vangle(vd1186,vd1185,vd1201)
| vd1187 = vd1201
| vd1187 = vd1185
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2818,876,theory(equality)]) ).
cnf(2820,plain,
( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) = vangle(vd1186,vd1185,vd1201)
| vd1187 = vd1201
| vd1187 = vd1185 ),
inference(cn,[status(thm)],[2819,theory(equality)]) ).
cnf(8430,plain,
( X1 = X2
| vd1185 = vd1187
| vd1185 = vd1186
| rS(vd1186,vd1201,X2)
| ron(vd1201,X2)
| ron(vd1201,X1)
| vd1187 = vd1201
| vangle(vd1186,vd1185,vd1201) != vangle(vd1186,vd1185,vd1187)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(vd1185)
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ ron(vd1187,X2)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1185,X1) ),
inference(spm,[status(thm)],[1526,2820,theory(equality)]) ).
cnf(8490,plain,
( X1 = X2
| vd1185 = vd1187
| vd1185 = vd1186
| rS(vd1186,vd1201,X2)
| ron(vd1201,X2)
| ron(vd1201,X1)
| vd1187 = vd1201
| $false
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(vd1185)
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ ron(vd1187,X2)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[8430,880,theory(equality)]) ).
cnf(8491,plain,
( X1 = X2
| vd1185 = vd1187
| vd1185 = vd1186
| rS(vd1186,vd1201,X2)
| ron(vd1201,X2)
| ron(vd1201,X1)
| vd1187 = vd1201
| $false
| ~ rline(X1)
| ~ rline(X2)
| $false
| ~ rpoint(vd1186)
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ ron(vd1187,X2)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[8490,870,theory(equality)]) ).
cnf(8492,plain,
( X1 = X2
| vd1185 = vd1187
| vd1185 = vd1186
| rS(vd1186,vd1201,X2)
| ron(vd1201,X2)
| ron(vd1201,X1)
| vd1187 = vd1201
| $false
| ~ rline(X1)
| ~ rline(X2)
| $false
| $false
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ ron(vd1187,X2)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[8491,869,theory(equality)]) ).
cnf(8493,plain,
( X1 = X2
| vd1185 = vd1187
| vd1185 = vd1186
| rS(vd1186,vd1201,X2)
| ron(vd1201,X2)
| ron(vd1201,X1)
| vd1187 = vd1201
| $false
| ~ rline(X1)
| ~ rline(X2)
| $false
| $false
| $false
| ~ rpoint(vd1201)
| ~ ron(vd1187,X2)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[8492,868,theory(equality)]) ).
cnf(8494,plain,
( X1 = X2
| vd1185 = vd1187
| vd1185 = vd1186
| rS(vd1186,vd1201,X2)
| ron(vd1201,X2)
| ron(vd1201,X1)
| vd1187 = vd1201
| $false
| ~ rline(X1)
| ~ rline(X2)
| $false
| $false
| $false
| $false
| ~ ron(vd1187,X2)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1185,X1) ),
inference(rw,[status(thm)],[8493,876,theory(equality)]) ).
cnf(8495,plain,
( X1 = X2
| vd1185 = vd1187
| vd1185 = vd1186
| rS(vd1186,vd1201,X2)
| ron(vd1201,X2)
| ron(vd1201,X1)
| vd1187 = vd1201
| ~ rline(X1)
| ~ rline(X2)
| ~ ron(vd1187,X2)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1185,X1) ),
inference(cn,[status(thm)],[8494,theory(equality)]) ).
cnf(162531,plain,
( vd1187 = vd1201
| vd1186 = vd1185
| vd1187 = vd1185
| vd1197 = X1
| rS(vd1186,vd1201,X1)
| ron(vd1201,vd1197)
| ron(vd1201,X1)
| ~ rline(X1)
| ~ ron(vd1187,X1)
| ~ ron(vd1186,vd1197)
| ~ ron(vd1185,X1)
| ~ ron(vd1185,vd1197) ),
inference(spm,[status(thm)],[8495,433,theory(equality)]) ).
cnf(162537,plain,
( vd1187 = vd1201
| vd1186 = vd1185
| vd1187 = vd1185
| vd1197 = X1
| rS(vd1186,vd1201,X1)
| ron(vd1201,vd1197)
| ron(vd1201,X1)
| ~ rline(X1)
| ~ ron(vd1187,X1)
| $false
| ~ ron(vd1185,X1)
| ~ ron(vd1185,vd1197) ),
inference(rw,[status(thm)],[162531,717,theory(equality)]) ).
cnf(162538,plain,
( vd1187 = vd1201
| vd1186 = vd1185
| vd1187 = vd1185
| vd1197 = X1
| rS(vd1186,vd1201,X1)
| ron(vd1201,vd1197)
| ron(vd1201,X1)
| ~ rline(X1)
| ~ ron(vd1187,X1)
| $false
| ~ ron(vd1185,X1)
| $false ),
inference(rw,[status(thm)],[162537,242,theory(equality)]) ).
cnf(162539,plain,
( vd1187 = vd1201
| vd1186 = vd1185
| vd1187 = vd1185
| vd1197 = X1
| rS(vd1186,vd1201,X1)
| ron(vd1201,vd1197)
| ron(vd1201,X1)
| ~ rline(X1)
| ~ ron(vd1187,X1)
| ~ ron(vd1185,X1) ),
inference(cn,[status(thm)],[162538,theory(equality)]) ).
cnf(162540,plain,
( vd1187 = vd1201
| vd1186 = vd1185
| vd1187 = vd1185
| vd1197 = X1
| rS(vd1186,vd1201,X1)
| ron(vd1201,X1)
| ~ rline(X1)
| ~ ron(vd1187,X1)
| ~ ron(vd1185,X1) ),
inference(sr,[status(thm)],[162539,2085,theory(equality)]) ).
cnf(162631,plain,
( vd1187 = vd1185
| vd1186 = vd1185
| vd1187 = vd1201
| vd1197 = vd1232
| ron(vd1201,vd1232)
| ~ rline(vd1232)
| ~ ron(vd1187,vd1232)
| ~ ron(vd1185,vd1232) ),
inference(spm,[status(thm)],[239,162540,theory(equality)]) ).
cnf(162647,plain,
( vd1187 = vd1185
| vd1186 = vd1185
| vd1187 = vd1201
| vd1197 = vd1232
| ron(vd1201,vd1232)
| $false
| ~ ron(vd1187,vd1232)
| ~ ron(vd1185,vd1232) ),
inference(rw,[status(thm)],[162631,710,theory(equality)]) ).
cnf(162648,plain,
( vd1187 = vd1185
| vd1186 = vd1185
| vd1187 = vd1201
| vd1197 = vd1232
| ron(vd1201,vd1232)
| $false
| $false
| ~ ron(vd1185,vd1232) ),
inference(rw,[status(thm)],[162647,617,theory(equality)]) ).
cnf(162649,plain,
( vd1187 = vd1185
| vd1186 = vd1185
| vd1187 = vd1201
| vd1197 = vd1232
| ron(vd1201,vd1232)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[162648,237,theory(equality)]) ).
cnf(162650,plain,
( vd1187 = vd1185
| vd1186 = vd1185
| vd1187 = vd1201
| vd1197 = vd1232
| ron(vd1201,vd1232) ),
inference(cn,[status(thm)],[162649,theory(equality)]) ).
cnf(162651,plain,
( vd1187 = vd1185
| vd1186 = vd1185
| vd1187 = vd1201
| vd1232 = vd1197 ),
inference(sr,[status(thm)],[162650,767,theory(equality)]) ).
cnf(162701,plain,
( ron(vd1187,vd1197)
| vd1187 = vd1201
| vd1186 = vd1185
| vd1187 = vd1185 ),
inference(spm,[status(thm)],[617,162651,theory(equality)]) ).
cnf(162856,plain,
( vd1187 = vd1201
| vd1186 = vd1185
| vd1187 = vd1185 ),
inference(sr,[status(thm)],[162701,493,theory(equality)]) ).
cnf(162887,plain,
( ron(vd1201,vd1232)
| vd1187 = vd1185
| vd1186 = vd1185 ),
inference(spm,[status(thm)],[617,162856,theory(equality)]) ).
cnf(163316,plain,
( vd1187 = vd1185
| vd1186 = vd1185 ),
inference(sr,[status(thm)],[162887,767,theory(equality)]) ).
cnf(163340,plain,
( vd1186 = vd1185
| ~ ron(vd1185,vd1197) ),
inference(spm,[status(thm)],[493,163316,theory(equality)]) ).
cnf(163735,plain,
( vd1186 = vd1185
| $false ),
inference(rw,[status(thm)],[163340,242,theory(equality)]) ).
cnf(163736,plain,
vd1186 = vd1185,
inference(cn,[status(thm)],[163735,theory(equality)]) ).
cnf(163792,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2089,163736,theory(equality)]),749,theory(equality)]) ).
cnf(163793,plain,
$false,
inference(cn,[status(thm)],[163792,theory(equality)]) ).
cnf(163794,plain,
$false,
163793,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO296+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1k52dt/sel_GEO296+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO296+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO296+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO296+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
%
%------------------------------------------------------------------------------