TSTP Solution File: GEO300+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO300+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 09:23:47 EST 2010
% Result : Theorem 0.62s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 23 unt; 0 def)
% Number of atoms : 221 ( 106 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 268 ( 93 ~; 72 |; 102 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 71 ( 0 sgn 25 !; 24 ?)
% 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/tmpYNOLce/sel_GEO300+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(9,axiom,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
file('/tmp/tmpYNOLce/sel_GEO300+1.p_1','holds(314, 1247, 0)') ).
fof(45,conjecture,
vf(vd1185,vd1201) = vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
file('/tmp/tmpYNOLce/sel_GEO300+1.p_1','holds(331, 1260, 0)') ).
fof(46,axiom,
rR(vd1187,vd1185,vd1201),
file('/tmp/tmpYNOLce/sel_GEO300+1.p_1','holds(330, 1259, 0)') ).
fof(65,axiom,
! [X385,X386,X387] :
( ( rR(X386,X385,X387)
& ? [X388] :
( X387 = X388
& rpoint(X388) )
& ? [X389] :
( X386 = X389
& rpoint(X389) )
& ? [X390] :
( X385 = X390
& rpoint(X390) ) )
=> vplus(vf(X385,X386),vf(X386,X387)) = vf(X385,X387) ),
file('/tmp/tmpYNOLce/sel_GEO300+1.p_1','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(87,axiom,
vd1199 = vd1185,
file('/tmp/tmpYNOLce/sel_GEO300+1.p_1','holds(291, 1230, 0)') ).
fof(129,axiom,
? [X627] :
( vd1201 = X627
& rpoint(X627) ),
file('/tmp/tmpYNOLce/sel_GEO300+1.p_1','qe(s3(plural(271)))') ).
fof(150,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(assume_negation,[status(cth)],[45]) ).
fof(164,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(fof_simplification,[status(thm)],[150,theory(equality)]) ).
fof(221,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(222,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)],[221]) ).
fof(223,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)],[222]) ).
fof(224,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)],[223]) ).
cnf(234,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[224]) ).
cnf(235,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[224]) ).
cnf(238,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[224]) ).
cnf(239,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[224]) ).
cnf(246,plain,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(441,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(split_conjunct,[status(thm)],[164]) ).
cnf(442,plain,
rR(vd1187,vd1185,vd1201),
inference(split_conjunct,[status(thm)],[46]) ).
fof(526,plain,
! [X385,X386,X387] :
( ~ rR(X386,X385,X387)
| ! [X388] :
( X387 != X388
| ~ rpoint(X388) )
| ! [X389] :
( X386 != X389
| ~ rpoint(X389) )
| ! [X390] :
( X385 != X390
| ~ rpoint(X390) )
| vplus(vf(X385,X386),vf(X386,X387)) = vf(X385,X387) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(527,plain,
! [X391,X392,X393] :
( ~ rR(X392,X391,X393)
| ! [X394] :
( X393 != X394
| ~ rpoint(X394) )
| ! [X395] :
( X392 != X395
| ~ rpoint(X395) )
| ! [X396] :
( X391 != X396
| ~ rpoint(X396) )
| vplus(vf(X391,X392),vf(X392,X393)) = vf(X391,X393) ),
inference(variable_rename,[status(thm)],[526]) ).
fof(528,plain,
! [X391,X392,X393,X394,X395,X396] :
( X391 != X396
| ~ rpoint(X396)
| X392 != X395
| ~ rpoint(X395)
| X393 != X394
| ~ rpoint(X394)
| ~ rR(X392,X391,X393)
| vplus(vf(X391,X392),vf(X392,X393)) = vf(X391,X393) ),
inference(shift_quantors,[status(thm)],[527]) ).
cnf(529,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rR(X2,X1,X3)
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X1 != X6 ),
inference(split_conjunct,[status(thm)],[528]) ).
cnf(607,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],[87]) ).
fof(776,plain,
? [X628] :
( vd1201 = X628
& rpoint(X628) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(777,plain,
( vd1201 = esk52_0
& rpoint(esk52_0) ),
inference(skolemize,[status(esa)],[776]) ).
cnf(778,plain,
rpoint(esk52_0),
inference(split_conjunct,[status(thm)],[777]) ).
cnf(779,plain,
vd1201 = esk52_0,
inference(split_conjunct,[status(thm)],[777]) ).
cnf(880,plain,
vf(vd1185,vd1201) = vf(vd1185,vd1187),
inference(rw,[status(thm)],[246,607,theory(equality)]) ).
cnf(883,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[238,239,theory(equality)]) ).
cnf(885,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[234,235,theory(equality)]) ).
cnf(895,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[778,779,theory(equality)]) ).
cnf(913,negated_conjecture,
vplus(vf(vd1185,vd1201),vf(vd1187,vd1201)) != vf(vd1185,vd1201),
inference(rw,[status(thm)],[441,880,theory(equality)]) ).
cnf(1139,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| X2 != X4
| X1 != X5
| ~ rR(X2,X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[529,theory(equality)]) ).
cnf(1140,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| X1 != X4
| ~ rR(X2,X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[1139,theory(equality)]) ).
cnf(1141,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rR(X2,X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[1140,theory(equality)]) ).
cnf(3752,plain,
( vplus(vf(vd1185,vd1201),vf(vd1187,X1)) = vf(vd1185,X1)
| ~ rR(vd1187,vd1185,X1)
| ~ rpoint(vd1185)
| ~ rpoint(vd1187)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[1141,880,theory(equality)]) ).
cnf(3786,plain,
( vplus(vf(vd1185,vd1201),vf(vd1187,X1)) = vf(vd1185,X1)
| ~ rR(vd1187,vd1185,X1)
| $false
| ~ rpoint(vd1187)
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[3752,885,theory(equality)]) ).
cnf(3787,plain,
( vplus(vf(vd1185,vd1201),vf(vd1187,X1)) = vf(vd1185,X1)
| ~ rR(vd1187,vd1185,X1)
| $false
| $false
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[3786,883,theory(equality)]) ).
cnf(3788,plain,
( vplus(vf(vd1185,vd1201),vf(vd1187,X1)) = vf(vd1185,X1)
| ~ rR(vd1187,vd1185,X1)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[3787,theory(equality)]) ).
cnf(3869,negated_conjecture,
( ~ rR(vd1187,vd1185,vd1201)
| ~ rpoint(vd1201) ),
inference(spm,[status(thm)],[913,3788,theory(equality)]) ).
cnf(3890,negated_conjecture,
( $false
| ~ rpoint(vd1201) ),
inference(rw,[status(thm)],[3869,442,theory(equality)]) ).
cnf(3891,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[3890,895,theory(equality)]) ).
cnf(3892,negated_conjecture,
$false,
inference(cn,[status(thm)],[3891,theory(equality)]) ).
cnf(3893,negated_conjecture,
$false,
3892,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO300+1.p
% --creating new selector for []
% -running prover on /tmp/tmpYNOLce/sel_GEO300+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO300+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO300+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO300+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
%
%------------------------------------------------------------------------------