TSTP Solution File: GEO299+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO299+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 09:23:35 EST 2010
% Result : Theorem 0.61s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 23 unt; 0 def)
% Number of atoms : 227 ( 103 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 276 ( 94 ~; 79 |; 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 : 67 ( 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/tmpuceqfR/sel_GEO299+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/tmpuceqfR/sel_GEO299+1.p_1','holds(314, 1247, 0)') ).
fof(30,conjecture,
vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
file('/tmp/tmpuceqfR/sel_GEO299+1.p_1','holds(324, 1255, 0)') ).
fof(34,axiom,
rR(vd1201,vd1185,vd1187),
file('/tmp/tmpuceqfR/sel_GEO299+1.p_1','holds(323, 1254, 0)') ).
fof(65,axiom,
! [X375,X376,X377] :
( ( rR(X376,X375,X377)
& ? [X378] :
( X377 = X378
& rpoint(X378) )
& ? [X379] :
( X376 = X379
& rpoint(X379) )
& ? [X380] :
( X375 = X380
& rpoint(X380) ) )
=> vplus(vf(X375,X376),vf(X376,X377)) = vf(X375,X377) ),
file('/tmp/tmpuceqfR/sel_GEO299+1.p_1','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(88,axiom,
vd1199 = vd1185,
file('/tmp/tmpuceqfR/sel_GEO299+1.p_1','holds(291, 1230, 0)') ).
fof(128,axiom,
? [X631] :
( vd1201 = X631
& rpoint(X631) ),
file('/tmp/tmpuceqfR/sel_GEO299+1.p_1','qe(s3(plural(271)))') ).
fof(149,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(assume_negation,[status(cth)],[30]) ).
fof(158,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(fof_simplification,[status(thm)],[149,theory(equality)]) ).
fof(218,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(219,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)],[218]) ).
fof(220,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)],[219]) ).
fof(221,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)],[220]) ).
cnf(231,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(232,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[221]) ).
cnf(235,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(236,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[221]) ).
cnf(243,plain,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(322,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(332,plain,
rR(vd1201,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[34]) ).
fof(510,plain,
! [X375,X376,X377] :
( ~ rR(X376,X375,X377)
| ! [X378] :
( X377 != X378
| ~ rpoint(X378) )
| ! [X379] :
( X376 != X379
| ~ rpoint(X379) )
| ! [X380] :
( X375 != X380
| ~ rpoint(X380) )
| vplus(vf(X375,X376),vf(X376,X377)) = vf(X375,X377) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(511,plain,
! [X381,X382,X383] :
( ~ rR(X382,X381,X383)
| ! [X384] :
( X383 != X384
| ~ rpoint(X384) )
| ! [X385] :
( X382 != X385
| ~ rpoint(X385) )
| ! [X386] :
( X381 != X386
| ~ rpoint(X386) )
| vplus(vf(X381,X382),vf(X382,X383)) = vf(X381,X383) ),
inference(variable_rename,[status(thm)],[510]) ).
fof(512,plain,
! [X381,X382,X383,X384,X385,X386] :
( X381 != X386
| ~ rpoint(X386)
| X382 != X385
| ~ rpoint(X385)
| X383 != X384
| ~ rpoint(X384)
| ~ rR(X382,X381,X383)
| vplus(vf(X381,X382),vf(X382,X383)) = vf(X381,X383) ),
inference(shift_quantors,[status(thm)],[511]) ).
cnf(513,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)],[512]) ).
cnf(603,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],[88]) ).
fof(770,plain,
? [X632] :
( vd1201 = X632
& rpoint(X632) ),
inference(variable_rename,[status(thm)],[128]) ).
fof(771,plain,
( vd1201 = esk50_0
& rpoint(esk50_0) ),
inference(skolemize,[status(esa)],[770]) ).
cnf(772,plain,
rpoint(esk50_0),
inference(split_conjunct,[status(thm)],[771]) ).
cnf(773,plain,
vd1201 = esk50_0,
inference(split_conjunct,[status(thm)],[771]) ).
cnf(876,plain,
vf(vd1185,vd1201) = vf(vd1185,vd1187),
inference(rw,[status(thm)],[243,603,theory(equality)]) ).
cnf(878,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[235,236,theory(equality)]) ).
cnf(880,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[231,232,theory(equality)]) ).
cnf(890,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[772,773,theory(equality)]) ).
cnf(907,negated_conjecture,
vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) != vf(vd1185,vd1201),
inference(rw,[status(thm)],[322,876,theory(equality)]) ).
cnf(1133,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)],[513,theory(equality)]) ).
cnf(1134,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)],[1133,theory(equality)]) ).
cnf(1135,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)],[1134,theory(equality)]) ).
cnf(3726,negated_conjecture,
( vf(vd1185,vd1187) != vf(vd1185,vd1201)
| ~ rR(vd1201,vd1185,vd1187)
| ~ rpoint(vd1185)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187) ),
inference(spm,[status(thm)],[907,1135,theory(equality)]) ).
cnf(3780,negated_conjecture,
( $false
| ~ rR(vd1201,vd1185,vd1187)
| ~ rpoint(vd1185)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187) ),
inference(rw,[status(thm)],[3726,876,theory(equality)]) ).
cnf(3781,negated_conjecture,
( $false
| $false
| ~ rpoint(vd1185)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187) ),
inference(rw,[status(thm)],[3780,332,theory(equality)]) ).
cnf(3782,negated_conjecture,
( $false
| $false
| $false
| ~ rpoint(vd1201)
| ~ rpoint(vd1187) ),
inference(rw,[status(thm)],[3781,880,theory(equality)]) ).
cnf(3783,negated_conjecture,
( $false
| $false
| $false
| $false
| ~ rpoint(vd1187) ),
inference(rw,[status(thm)],[3782,890,theory(equality)]) ).
cnf(3784,negated_conjecture,
( $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3783,878,theory(equality)]) ).
cnf(3785,negated_conjecture,
$false,
inference(cn,[status(thm)],[3784,theory(equality)]) ).
cnf(3786,negated_conjecture,
$false,
3785,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO299+1.p
% --creating new selector for []
% -running prover on /tmp/tmpuceqfR/sel_GEO299+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO299+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO299+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO299+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
%
%------------------------------------------------------------------------------