TSTP Solution File: GEO298+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO298+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 09:23:23 EST 2010
% Result : Theorem 10.84s
% Output : CNFRefutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 16
% Syntax : Number of formulae : 107 ( 38 unt; 0 def)
% Number of atoms : 666 ( 245 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 879 ( 320 ~; 402 |; 152 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 201 ( 0 sgn 89 !; 34 ?)
% 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/tmpNfMPWp/sel_GEO298+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/tmpNfMPWp/sel_GEO298+1.p_1','pred(s1(plural(293)), 0)') ).
fof(8,axiom,
~ ron(vd1187,vd1197),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','neg(neg(270))') ).
fof(11,axiom,
rS(vd1201,vd1187,vd1197),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(12,axiom,
ron(vd1185,vd1197),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','pred(s1(plural(269)), 0)') ).
fof(17,conjecture,
( rR(vd1201,vd1185,vd1187)
| rR(vd1187,vd1185,vd1201) ),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','dis(321)') ).
fof(21,axiom,
! [X94,X95,X96,X97,X98] :
( ( X97 = X98
& ron(X96,X97)
& ron(X95,X97)
& ron(X94,X97)
& rline(X98)
& X95 != X96
& X94 != X96
& X94 != X95
& ? [X99] :
( X96 = X99
& rpoint(X99) )
& ? [X100] :
( X95 = X100
& rpoint(X100) )
& ? [X101] :
( X94 = X101
& rpoint(X101) ) )
=> ( rR(X95,X94,X96)
| rR(X94,X95,X96)
| rR(X96,X94,X95) ) ),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(24,axiom,
vd1201 != vd1187,
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','holds(320, 1251, 0)') ).
fof(32,axiom,
ron(vd1201,vd1232),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','pred(313, 0)') ).
fof(46,axiom,
rline(vd1197),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','pred(269, 0)') ).
fof(51,axiom,
! [X303,X304,X305,X306] :
( ( rS(X303,X304,X305)
& X305 = X306
& rline(X306)
& ? [X307] :
( X304 = X307
& rpoint(X307) )
& ? [X308] :
( X303 = X308
& rpoint(X308) ) )
=> ~ ron(X303,X305) ),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(77,axiom,
ron(vd1187,vd1232),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','pred(s3(plural(315)), 0)') ).
fof(80,axiom,
~ rR(vd1185,vd1201,vd1187),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','neg(neg(319))') ).
fof(98,axiom,
! [X515,X516,X517] :
( ( rR(X516,X515,X517)
& ? [X518] :
( X517 = X518
& rpoint(X518) )
& ? [X519] :
( X516 = X519
& rpoint(X519) )
& ? [X520] :
( X515 = X520
& rpoint(X520) ) )
=> ( ~ rR(X515,X516,X517)
& X515 != X517
& X515 != X516
& rR(X516,X517,X515) ) ),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(109,axiom,
rline(vd1232),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','pred(293, 0)') ).
fof(126,axiom,
? [X631] :
( vd1201 = X631
& rpoint(X631) ),
file('/tmp/tmpNfMPWp/sel_GEO298+1.p_1','qe(s3(plural(271)))') ).
fof(147,negated_conjecture,
~ ( rR(vd1201,vd1185,vd1187)
| rR(vd1187,vd1185,vd1201) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(151,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(162,plain,
! [X303,X304,X305,X306] :
( ( rS(X303,X304,X305)
& X305 = X306
& rline(X306)
& ? [X307] :
( X304 = X307
& rpoint(X307) )
& ? [X308] :
( X303 = X308
& rpoint(X308) ) )
=> ~ ron(X303,X305) ),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(169,plain,
~ rR(vd1185,vd1201,vd1187),
inference(fof_simplification,[status(thm)],[80,theory(equality)]) ).
fof(172,plain,
! [X515,X516,X517] :
( ( rR(X516,X515,X517)
& ? [X518] :
( X517 = X518
& rpoint(X518) )
& ? [X519] :
( X516 = X519
& rpoint(X519) )
& ? [X520] :
( X515 = X520
& rpoint(X520) ) )
=> ( ~ rR(X515,X516,X517)
& X515 != X517
& X515 != X516
& rR(X516,X517,X515) ) ),
inference(fof_simplification,[status(thm)],[98,theory(equality)]) ).
fof(215,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(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)
& ? [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)],[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(skolemize,[status(esa)],[216]) ).
fof(218,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)],[217]) ).
cnf(228,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(229,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[218]) ).
cnf(232,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(233,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[218]) ).
cnf(238,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(239,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(242,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(243,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],[12]) ).
fof(261,negated_conjecture,
( ~ rR(vd1201,vd1185,vd1187)
& ~ rR(vd1187,vd1185,vd1201) ),
inference(fof_nnf,[status(thm)],[147]) ).
cnf(262,negated_conjecture,
~ rR(vd1187,vd1185,vd1201),
inference(split_conjunct,[status(thm)],[261]) ).
cnf(263,negated_conjecture,
~ rR(vd1201,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[261]) ).
fof(285,plain,
! [X94,X95,X96,X97,X98] :
( X97 != X98
| ~ ron(X96,X97)
| ~ ron(X95,X97)
| ~ ron(X94,X97)
| ~ rline(X98)
| X95 = X96
| X94 = X96
| X94 = X95
| ! [X99] :
( X96 != X99
| ~ rpoint(X99) )
| ! [X100] :
( X95 != X100
| ~ rpoint(X100) )
| ! [X101] :
( X94 != X101
| ~ rpoint(X101) )
| rR(X95,X94,X96)
| rR(X94,X95,X96)
| rR(X96,X94,X95) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(286,plain,
! [X102,X103,X104,X105,X106] :
( X105 != X106
| ~ ron(X104,X105)
| ~ ron(X103,X105)
| ~ ron(X102,X105)
| ~ rline(X106)
| X103 = X104
| X102 = X104
| X102 = X103
| ! [X107] :
( X104 != X107
| ~ rpoint(X107) )
| ! [X108] :
( X103 != X108
| ~ rpoint(X108) )
| ! [X109] :
( X102 != X109
| ~ rpoint(X109) )
| rR(X103,X102,X104)
| rR(X102,X103,X104)
| rR(X104,X102,X103) ),
inference(variable_rename,[status(thm)],[285]) ).
fof(287,plain,
! [X102,X103,X104,X105,X106,X107,X108,X109] :
( X102 != X109
| ~ rpoint(X109)
| X103 != X108
| ~ rpoint(X108)
| X104 != X107
| ~ rpoint(X107)
| X105 != X106
| ~ ron(X104,X105)
| ~ ron(X103,X105)
| ~ ron(X102,X105)
| ~ rline(X106)
| X103 = X104
| X102 = X104
| X102 = X103
| rR(X103,X102,X104)
| rR(X102,X103,X104)
| rR(X104,X102,X103) ),
inference(shift_quantors,[status(thm)],[286]) ).
cnf(288,plain,
( rR(X1,X2,X3)
| rR(X2,X3,X1)
| rR(X3,X2,X1)
| X2 = X3
| X2 = X1
| X3 = X1
| ~ rline(X4)
| ~ ron(X2,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| X5 != X4
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X2 != X8 ),
inference(split_conjunct,[status(thm)],[287]) ).
cnf(293,plain,
vd1201 != vd1187,
inference(split_conjunct,[status(thm)],[24]) ).
cnf(329,plain,
ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(439,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],[46]) ).
fof(457,plain,
! [X303,X304,X305,X306] :
( ~ rS(X303,X304,X305)
| X305 != X306
| ~ rline(X306)
| ! [X307] :
( X304 != X307
| ~ rpoint(X307) )
| ! [X308] :
( X303 != X308
| ~ rpoint(X308) )
| ~ ron(X303,X305) ),
inference(fof_nnf,[status(thm)],[162]) ).
fof(458,plain,
! [X309,X310,X311,X312] :
( ~ rS(X309,X310,X311)
| X311 != X312
| ~ rline(X312)
| ! [X313] :
( X310 != X313
| ~ rpoint(X313) )
| ! [X314] :
( X309 != X314
| ~ rpoint(X314) )
| ~ ron(X309,X311) ),
inference(variable_rename,[status(thm)],[457]) ).
fof(459,plain,
! [X309,X310,X311,X312,X313,X314] :
( X309 != X314
| ~ rpoint(X314)
| X310 != X313
| ~ rpoint(X313)
| ~ rS(X309,X310,X311)
| X311 != X312
| ~ rline(X312)
| ~ ron(X309,X311) ),
inference(shift_quantors,[status(thm)],[458]) ).
cnf(460,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)],[459]) ).
cnf(572,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(587,plain,
~ rR(vd1185,vd1201,vd1187),
inference(split_conjunct,[status(thm)],[169]) ).
fof(648,plain,
! [X515,X516,X517] :
( ~ rR(X516,X515,X517)
| ! [X518] :
( X517 != X518
| ~ rpoint(X518) )
| ! [X519] :
( X516 != X519
| ~ rpoint(X519) )
| ! [X520] :
( X515 != X520
| ~ rpoint(X520) )
| ( ~ rR(X515,X516,X517)
& X515 != X517
& X515 != X516
& rR(X516,X517,X515) ) ),
inference(fof_nnf,[status(thm)],[172]) ).
fof(649,plain,
! [X521,X522,X523] :
( ~ rR(X522,X521,X523)
| ! [X524] :
( X523 != X524
| ~ rpoint(X524) )
| ! [X525] :
( X522 != X525
| ~ rpoint(X525) )
| ! [X526] :
( X521 != X526
| ~ rpoint(X526) )
| ( ~ rR(X521,X522,X523)
& X521 != X523
& X521 != X522
& rR(X522,X523,X521) ) ),
inference(variable_rename,[status(thm)],[648]) ).
fof(650,plain,
! [X521,X522,X523,X524,X525,X526] :
( X521 != X526
| ~ rpoint(X526)
| X522 != X525
| ~ rpoint(X525)
| X523 != X524
| ~ rpoint(X524)
| ~ rR(X522,X521,X523)
| ( ~ rR(X521,X522,X523)
& X521 != X523
& X521 != X522
& rR(X522,X523,X521) ) ),
inference(shift_quantors,[status(thm)],[649]) ).
fof(651,plain,
! [X521,X522,X523,X524,X525,X526] :
( ( ~ rR(X521,X522,X523)
| X521 != X526
| ~ rpoint(X526)
| X522 != X525
| ~ rpoint(X525)
| X523 != X524
| ~ rpoint(X524)
| ~ rR(X522,X521,X523) )
& ( X521 != X523
| X521 != X526
| ~ rpoint(X526)
| X522 != X525
| ~ rpoint(X525)
| X523 != X524
| ~ rpoint(X524)
| ~ rR(X522,X521,X523) )
& ( X521 != X522
| X521 != X526
| ~ rpoint(X526)
| X522 != X525
| ~ rpoint(X525)
| X523 != X524
| ~ rpoint(X524)
| ~ rR(X522,X521,X523) )
& ( rR(X522,X523,X521)
| X521 != X526
| ~ rpoint(X526)
| X522 != X525
| ~ rpoint(X525)
| X523 != X524
| ~ rpoint(X524)
| ~ rR(X522,X521,X523) ) ),
inference(distribute,[status(thm)],[650]) ).
cnf(652,plain,
( rR(X1,X3,X2)
| ~ rR(X1,X2,X3)
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(split_conjunct,[status(thm)],[651]) ).
cnf(716,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],[109]) ).
fof(767,plain,
? [X632] :
( vd1201 = X632
& rpoint(X632) ),
inference(variable_rename,[status(thm)],[126]) ).
fof(768,plain,
( vd1201 = esk50_0
& rpoint(esk50_0) ),
inference(skolemize,[status(esa)],[767]) ).
cnf(769,plain,
rpoint(esk50_0),
inference(split_conjunct,[status(thm)],[768]) ).
cnf(770,plain,
vd1201 = esk50_0,
inference(split_conjunct,[status(thm)],[768]) ).
cnf(872,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[232,233,theory(equality)]) ).
cnf(875,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[228,229,theory(equality)]) ).
cnf(881,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[769,770,theory(equality)]) ).
cnf(1025,plain,
( rR(X1,X2,X3)
| X3 != X4
| X1 != X5
| ~ rR(X1,X3,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[652,theory(equality)]) ).
cnf(1026,plain,
( rR(X1,X2,X3)
| X1 != X4
| ~ rR(X1,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[1025,theory(equality)]) ).
cnf(1027,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[1026,theory(equality)]) ).
cnf(1112,plain,
( X1 != X2
| X3 != X4
| ~ rS(X3,X5,X1)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[460,theory(equality)]) ).
cnf(1113,plain,
( X1 != X2
| ~ rS(X1,X3,X4)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1112,theory(equality)]) ).
cnf(1114,plain,
( ~ rS(X1,X2,X3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[1113,theory(equality)]) ).
cnf(1422,plain,
( X1 = X2
| X1 = X3
| X2 = X3
| rR(X1,X2,X3)
| rR(X2,X3,X1)
| rR(X3,X2,X1)
| X3 != X4
| X2 != X5
| X1 != X6
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ ron(X3,X7)
| ~ ron(X2,X7)
| ~ ron(X1,X7) ),
inference(er,[status(thm)],[288,theory(equality)]) ).
cnf(1423,plain,
( X1 = X2
| X1 = X3
| X2 = X3
| rR(X1,X2,X3)
| rR(X2,X3,X1)
| rR(X3,X2,X1)
| X2 != X4
| X1 != X5
| ~ rline(X6)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X1,X6) ),
inference(er,[status(thm)],[1422,theory(equality)]) ).
cnf(1424,plain,
( X1 = X2
| X1 = X3
| X2 = X3
| rR(X1,X2,X3)
| rR(X2,X3,X1)
| rR(X3,X2,X1)
| X1 != X4
| ~ rline(X5)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| ~ ron(X1,X5) ),
inference(er,[status(thm)],[1423,theory(equality)]) ).
cnf(1425,plain,
( X1 = X2
| X1 = X3
| X2 = X3
| rR(X1,X2,X3)
| rR(X2,X3,X1)
| rR(X3,X2,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ ron(X3,X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[1424,theory(equality)]) ).
cnf(2116,plain,
( ~ rline(vd1197)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(spm,[status(thm)],[1114,242,theory(equality)]) ).
cnf(2121,plain,
( $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2116,439,theory(equality)]) ).
cnf(2122,plain,
( $false
| $false
| ~ rpoint(vd1187)
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2121,881,theory(equality)]) ).
cnf(2123,plain,
( $false
| $false
| $false
| ~ ron(vd1201,vd1197) ),
inference(rw,[status(thm)],[2122,872,theory(equality)]) ).
cnf(2124,plain,
~ ron(vd1201,vd1197),
inference(cn,[status(thm)],[2123,theory(equality)]) ).
cnf(6337,plain,
( X1 = vd1187
| X2 = vd1187
| X2 = X1
| rR(vd1187,X1,X2)
| rR(X1,vd1187,X2)
| rR(X2,X1,vd1187)
| ~ rline(vd1232)
| ~ rpoint(X1)
| ~ rpoint(vd1187)
| ~ rpoint(X2)
| ~ ron(X1,vd1232)
| ~ ron(X2,vd1232) ),
inference(spm,[status(thm)],[1425,572,theory(equality)]) ).
cnf(6370,plain,
( X1 = vd1187
| X2 = vd1187
| X2 = X1
| rR(vd1187,X1,X2)
| rR(X1,vd1187,X2)
| rR(X2,X1,vd1187)
| $false
| ~ rpoint(X1)
| ~ rpoint(vd1187)
| ~ rpoint(X2)
| ~ ron(X1,vd1232)
| ~ ron(X2,vd1232) ),
inference(rw,[status(thm)],[6337,716,theory(equality)]) ).
cnf(6371,plain,
( X1 = vd1187
| X2 = vd1187
| X2 = X1
| rR(vd1187,X1,X2)
| rR(X1,vd1187,X2)
| rR(X2,X1,vd1187)
| $false
| ~ rpoint(X1)
| $false
| ~ rpoint(X2)
| ~ ron(X1,vd1232)
| ~ ron(X2,vd1232) ),
inference(rw,[status(thm)],[6370,872,theory(equality)]) ).
cnf(6372,plain,
( X1 = vd1187
| X2 = vd1187
| X2 = X1
| rR(vd1187,X1,X2)
| rR(X1,vd1187,X2)
| rR(X2,X1,vd1187)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,vd1232)
| ~ ron(X2,vd1232) ),
inference(cn,[status(thm)],[6371,theory(equality)]) ).
cnf(103731,plain,
( X1 = vd1187
| vd1201 = vd1187
| X1 = vd1201
| rR(X1,vd1201,vd1187)
| rR(vd1201,vd1187,X1)
| rR(vd1187,vd1201,X1)
| ~ rpoint(vd1201)
| ~ rpoint(X1)
| ~ ron(X1,vd1232) ),
inference(spm,[status(thm)],[6372,329,theory(equality)]) ).
cnf(103769,plain,
( X1 = vd1187
| vd1201 = vd1187
| X1 = vd1201
| rR(X1,vd1201,vd1187)
| rR(vd1201,vd1187,X1)
| rR(vd1187,vd1201,X1)
| $false
| ~ rpoint(X1)
| ~ ron(X1,vd1232) ),
inference(rw,[status(thm)],[103731,881,theory(equality)]) ).
cnf(103770,plain,
( X1 = vd1187
| vd1201 = vd1187
| X1 = vd1201
| rR(X1,vd1201,vd1187)
| rR(vd1201,vd1187,X1)
| rR(vd1187,vd1201,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1232) ),
inference(cn,[status(thm)],[103769,theory(equality)]) ).
cnf(103771,plain,
( X1 = vd1187
| X1 = vd1201
| rR(X1,vd1201,vd1187)
| rR(vd1201,vd1187,X1)
| rR(vd1187,vd1201,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1232) ),
inference(sr,[status(thm)],[103770,293,theory(equality)]) ).
cnf(103806,plain,
( vd1185 = vd1201
| vd1185 = vd1187
| rR(vd1187,vd1201,vd1185)
| rR(vd1201,vd1187,vd1185)
| rR(vd1185,vd1201,vd1187)
| ~ rpoint(vd1185) ),
inference(spm,[status(thm)],[103771,238,theory(equality)]) ).
cnf(103842,plain,
( vd1185 = vd1201
| vd1185 = vd1187
| rR(vd1187,vd1201,vd1185)
| rR(vd1201,vd1187,vd1185)
| rR(vd1185,vd1201,vd1187)
| $false ),
inference(rw,[status(thm)],[103806,875,theory(equality)]) ).
cnf(103843,plain,
( vd1185 = vd1201
| vd1185 = vd1187
| rR(vd1187,vd1201,vd1185)
| rR(vd1201,vd1187,vd1185)
| rR(vd1185,vd1201,vd1187) ),
inference(cn,[status(thm)],[103842,theory(equality)]) ).
cnf(103844,plain,
( vd1201 = vd1185
| vd1187 = vd1185
| rR(vd1187,vd1201,vd1185)
| rR(vd1201,vd1187,vd1185) ),
inference(sr,[status(thm)],[103843,587,theory(equality)]) ).
cnf(103882,plain,
( rR(vd1187,vd1185,vd1201)
| vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1201,vd1187,vd1185)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ rpoint(vd1185) ),
inference(spm,[status(thm)],[1027,103844,theory(equality)]) ).
cnf(103919,plain,
( rR(vd1187,vd1185,vd1201)
| vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1201,vd1187,vd1185)
| $false
| ~ rpoint(vd1187)
| ~ rpoint(vd1185) ),
inference(rw,[status(thm)],[103882,881,theory(equality)]) ).
cnf(103920,plain,
( rR(vd1187,vd1185,vd1201)
| vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1201,vd1187,vd1185)
| $false
| $false
| ~ rpoint(vd1185) ),
inference(rw,[status(thm)],[103919,872,theory(equality)]) ).
cnf(103921,plain,
( rR(vd1187,vd1185,vd1201)
| vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1201,vd1187,vd1185)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[103920,875,theory(equality)]) ).
cnf(103922,plain,
( rR(vd1187,vd1185,vd1201)
| vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1201,vd1187,vd1185) ),
inference(cn,[status(thm)],[103921,theory(equality)]) ).
cnf(103923,plain,
( vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1201,vd1187,vd1185) ),
inference(sr,[status(thm)],[103922,262,theory(equality)]) ).
cnf(104019,plain,
( rR(vd1201,vd1185,vd1187)
| vd1201 = vd1185
| vd1187 = vd1185
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ rpoint(vd1185) ),
inference(spm,[status(thm)],[1027,103923,theory(equality)]) ).
cnf(104051,plain,
( rR(vd1201,vd1185,vd1187)
| vd1201 = vd1185
| vd1187 = vd1185
| $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1185) ),
inference(rw,[status(thm)],[104019,872,theory(equality)]) ).
cnf(104052,plain,
( rR(vd1201,vd1185,vd1187)
| vd1201 = vd1185
| vd1187 = vd1185
| $false
| $false
| ~ rpoint(vd1185) ),
inference(rw,[status(thm)],[104051,881,theory(equality)]) ).
cnf(104053,plain,
( rR(vd1201,vd1185,vd1187)
| vd1201 = vd1185
| vd1187 = vd1185
| $false
| $false
| $false ),
inference(rw,[status(thm)],[104052,875,theory(equality)]) ).
cnf(104054,plain,
( rR(vd1201,vd1185,vd1187)
| vd1201 = vd1185
| vd1187 = vd1185 ),
inference(cn,[status(thm)],[104053,theory(equality)]) ).
cnf(104055,plain,
( vd1201 = vd1185
| vd1187 = vd1185 ),
inference(sr,[status(thm)],[104054,263,theory(equality)]) ).
cnf(104145,plain,
( vd1201 = vd1185
| ~ ron(vd1185,vd1197) ),
inference(spm,[status(thm)],[239,104055,theory(equality)]) ).
cnf(104486,plain,
( vd1201 = vd1185
| $false ),
inference(rw,[status(thm)],[104145,243,theory(equality)]) ).
cnf(104487,plain,
vd1201 = vd1185,
inference(cn,[status(thm)],[104486,theory(equality)]) ).
cnf(104539,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2124,104487,theory(equality)]),243,theory(equality)]) ).
cnf(104540,plain,
$false,
inference(cn,[status(thm)],[104539,theory(equality)]) ).
cnf(104541,plain,
$false,
104540,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO298+1.p
% --creating new selector for []
% -running prover on /tmp/tmpNfMPWp/sel_GEO298+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO298+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO298+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO298+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
%
%------------------------------------------------------------------------------