TSTP Solution File: GEO280+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:15:13 EDT 2024
% Result : Theorem 44.65s 6.78s
% Output : Refutation 44.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 104
% Syntax : Number of formulae : 678 ( 97 unt; 0 def)
% Number of atoms : 2634 ( 530 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 3499 (1543 ~;1526 |; 304 &)
% ( 76 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 81 ( 79 usr; 69 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-3 aty)
% Number of variables : 1021 ( 918 !; 103 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43912,plain,
$false,
inference(avatar_sat_refutation,[],[f1625,f3816,f3819,f4124,f4127,f4352,f4698,f4701,f5007,f5010,f5391,f5394,f5476,f5479,f5561,f5625,f5707,f5710,f5792,f5795,f5929,f5932,f8577,f8580,f8770,f8910,f8914,f9117,f9369,f9509,f12956,f12959,f13081,f13084,f13206,f13213,f13335,f13338,f13460,f13463,f13589,f13592,f13714,f13717,f13843,f13846,f13968,f13971,f14097,f14100,f17788,f17850,f17851,f17852,f17853,f17854,f17855,f17856,f17857,f17858,f17859,f17860,f17861,f17862,f17863,f17864,f17865,f17866,f17867,f17868,f17869,f17870,f17871,f17872,f17873,f17874,f17875,f17876,f17877,f17878,f17879,f19166,f28072,f28247,f28703,f33645,f33748,f43854,f43858,f43867,f43911]) ).
fof(f43911,plain,
( ~ spl50_57
| ~ spl50_58 ),
inference(avatar_contradiction_clause,[],[f43910]) ).
fof(f43910,plain,
( $false
| ~ spl50_57
| ~ spl50_58 ),
inference(subsumption_resolution,[],[f43903,f2340]) ).
fof(f2340,plain,
rreal(vf(vd1125,vd1123)),
inference(subsumption_resolution,[],[f2339,f1444]) ).
fof(f1444,plain,
rpoint(vd1125),
inference(superposition,[],[f573,f572]) ).
fof(f572,plain,
vd1125 = vd1126,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1125 != vd1123
& vd1127 != vd1129
& rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).
fof(f573,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f7]) ).
fof(f2339,plain,
( rreal(vf(vd1125,vd1123))
| ~ rpoint(vd1125) ),
inference(subsumption_resolution,[],[f2338,f1445]) ).
fof(f1445,plain,
rpoint(vd1123),
inference(superposition,[],[f575,f574]) ).
fof(f574,plain,
vd1123 = vd1124,
inference(cnf_transformation,[],[f7]) ).
fof(f575,plain,
rpoint(vd1124),
inference(cnf_transformation,[],[f7]) ).
fof(f2338,plain,
( rreal(vf(vd1125,vd1123))
| ~ rpoint(vd1123)
| ~ rpoint(vd1125) ),
inference(superposition,[],[f856,f2301]) ).
fof(f2301,plain,
vf(vd1125,vd1123) = sK17(vd1123,vd1125),
inference(forward_demodulation,[],[f2275,f1935]) ).
fof(f1935,plain,
vf(vd1123,vd1125) = vf(vd1125,vd1123),
inference(resolution,[],[f1773,f1445]) ).
fof(f1773,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1125,X0) = vf(X0,vd1125) ),
inference(forward_demodulation,[],[f1755,f572]) ).
fof(f1755,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1126,X0) = vf(X0,vd1126) ),
inference(resolution,[],[f843,f573]) ).
fof(f843,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f842]) ).
fof(f842,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f611]) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f254]) ).
fof(f254,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X650,X651] :
( ( ? [X653] :
( rpoint(X653)
& X650 = X653 )
& ? [X652] :
( rpoint(X652)
& X651 = X652 ) )
=> vf(X650,X651) = vf(X651,X650) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f2275,plain,
vf(vd1123,vd1125) = sK17(vd1123,vd1125),
inference(resolution,[],[f1827,f1445]) ).
fof(f1827,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1125) = sK17(X0,vd1125) ),
inference(forward_demodulation,[],[f1809,f572]) ).
fof(f1809,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1126) = sK17(X0,vd1126) ),
inference(resolution,[],[f858,f573]) ).
fof(f858,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| vf(X3,X4) = sK17(X3,X4) ),
inference(equality_resolution,[],[f857]) ).
fof(f857,plain,
! [X3,X1,X4] :
( sK17(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f617]) ).
fof(f617,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK17(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f464]) ).
fof(f464,plain,
! [X0,X1] :
( ( rreal(sK17(X0,X1))
& vf(X0,X1) = sK17(X0,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f462,f463]) ).
fof(f463,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK17(X0,X1))
& vf(X0,X1) = sK17(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f462,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X81,X82] :
( ( ? [X84] :
( rpoint(X84)
& X81 = X84 )
& ? [X83] :
( rpoint(X83)
& X82 = X83 ) )
=> ? [X85] :
( rreal(X85)
& vf(X81,X82) = X85 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f856,plain,
! [X3,X4] :
( rreal(sK17(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f855]) ).
fof(f855,plain,
! [X3,X1,X4] :
( rreal(sK17(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f618]) ).
fof(f618,plain,
! [X3,X0,X1,X4] :
( rreal(sK17(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f464]) ).
fof(f43903,plain,
( ~ rreal(vf(vd1125,vd1123))
| ~ spl50_57
| ~ spl50_58 ),
inference(resolution,[],[f43901,f834]) ).
fof(f834,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f598]) ).
fof(f598,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X156,X157] :
( ( rreal(X157)
& X156 = X157 )
=> ~ rless(X156,X156) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f43901,plain,
( rless(vf(vd1125,vd1123),vf(vd1125,vd1123))
| ~ spl50_57
| ~ spl50_58 ),
inference(forward_demodulation,[],[f28070,f28067]) ).
fof(f28067,plain,
( vf(vd1136,vd1123) = vf(vd1125,vd1123)
| ~ spl50_57 ),
inference(avatar_component_clause,[],[f28065]) ).
fof(f28065,plain,
( spl50_57
<=> vf(vd1136,vd1123) = vf(vd1125,vd1123) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_57])]) ).
fof(f28070,plain,
( rless(vf(vd1125,vd1123),vf(vd1136,vd1123))
| ~ spl50_58 ),
inference(avatar_component_clause,[],[f28069]) ).
fof(f28069,plain,
( spl50_58
<=> rless(vf(vd1125,vd1123),vf(vd1136,vd1123)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_58])]) ).
fof(f43867,plain,
( ~ spl50_67
| spl50_68 ),
inference(avatar_split_clause,[],[f43855,f43864,f43860]) ).
fof(f43860,plain,
( spl50_67
<=> ron(vd1123,vd1139) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_67])]) ).
fof(f43864,plain,
( spl50_68
<=> rless(vf(vd1125,vd1123),v0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_68])]) ).
fof(f43855,plain,
( rless(vf(vd1125,vd1123),v0)
| ~ ron(vd1123,vd1139) ),
inference(subsumption_resolution,[],[f43845,f1445]) ).
fof(f43845,plain,
( rless(vf(vd1125,vd1123),v0)
| ~ rpoint(vd1123)
| ~ ron(vd1123,vd1139) ),
inference(superposition,[],[f43834,f1474]) ).
fof(f1474,plain,
v0 = vf(vd1123,vd1123),
inference(forward_demodulation,[],[f1459,f574]) ).
fof(f1459,plain,
v0 = vf(vd1124,vd1124),
inference(resolution,[],[f1439,f575]) ).
fof(f1439,plain,
! [X3] :
( ~ rpoint(X3)
| v0 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f846]) ).
fof(f846,plain,
! [X3] :
( v0 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f845]) ).
fof(f845,plain,
! [X2,X3] :
( v0 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f844]) ).
fof(f844,plain,
! [X2,X3,X1] :
( v0 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f613]) ).
fof(f613,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f458]) ).
fof(f458,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(nnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f43834,plain,
! [X0] :
( rless(vf(vd1125,vd1123),vf(vd1123,X0))
| ~ rpoint(X0)
| ~ ron(X0,vd1139) ),
inference(subsumption_resolution,[],[f43833,f551]) ).
fof(f551,plain,
rinside(vd1125,vd1139),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
rinside(vd1125,vd1139),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ rinside(vd1125,vd1139),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(247))') ).
fof(f43833,plain,
! [X0] :
( rless(vf(vd1125,vd1123),vf(vd1123,X0))
| ~ rpoint(X0)
| ~ rinside(vd1125,vd1139)
| ~ ron(X0,vd1139) ),
inference(subsumption_resolution,[],[f43819,f1444]) ).
fof(f43819,plain,
! [X0] :
( rless(vf(vd1125,vd1123),vf(vd1123,X0))
| ~ rpoint(vd1125)
| ~ rpoint(X0)
| ~ rinside(vd1125,vd1139)
| ~ ron(X0,vd1139) ),
inference(superposition,[],[f6084,f1935]) ).
fof(f6084,plain,
! [X0,X1] :
( rless(vf(vd1123,X0),vf(vd1123,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rinside(X0,vd1139)
| ~ ron(X1,vd1139) ),
inference(resolution,[],[f987,f561]) ).
fof(f561,plain,
rcenter(vd1123,vd1139),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ron(vd1123,vd1138)
& ron(vd1125,vd1138)
& rcircle(vd1139)
& rcenter(vd1123,vd1139)
& ron(vd1136,vd1139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).
fof(f987,plain,
! [X2,X3,X4,X5] :
( ~ rcenter(X2,X3)
| ~ rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| rless(vf(X2,X4),vf(X2,X5))
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f986]) ).
fof(f986,plain,
! [X2,X3,X1,X4,X5] :
( rless(vf(X2,X4),vf(X2,X1))
| ~ rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f679]) ).
fof(f679,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f497]) ).
fof(f497,plain,
! [X0,X1,X2,X3] :
( ( ( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3) )
& ( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X1)) ) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(nnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(flattening,[],[f316]) ).
fof(f316,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rcenter(X2,X3)
& ron(X1,X3) )
=> ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X138,X139,X140,X141] :
( ( ? [X143] :
( rpoint(X143)
& X138 = X143 )
& ? [X142] :
( rpoint(X142)
& X139 = X142 )
& rcenter(X140,X141)
& ron(X139,X141) )
=> ( rless(vf(X140,X138),vf(X140,X139))
<=> rinside(X138,X141) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f43858,plain,
spl50_58,
inference(avatar_split_clause,[],[f43857,f28069]) ).
fof(f43857,plain,
rless(vf(vd1125,vd1123),vf(vd1136,vd1123)),
inference(subsumption_resolution,[],[f43856,f560]) ).
fof(f560,plain,
ron(vd1136,vd1139),
inference(cnf_transformation,[],[f3]) ).
fof(f43856,plain,
( rless(vf(vd1125,vd1123),vf(vd1136,vd1123))
| ~ ron(vd1136,vd1139) ),
inference(subsumption_resolution,[],[f43844,f555]) ).
fof(f555,plain,
rpoint(vd1136),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
rpoint(vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(245, 0)') ).
fof(f43844,plain,
( rless(vf(vd1125,vd1123),vf(vd1136,vd1123))
| ~ rpoint(vd1136)
| ~ ron(vd1136,vd1139) ),
inference(superposition,[],[f43834,f1777]) ).
fof(f1777,plain,
vf(vd1123,vd1136) = vf(vd1136,vd1123),
inference(resolution,[],[f1749,f1445]) ).
fof(f1749,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1136,X0) = vf(X0,vd1136) ),
inference(resolution,[],[f843,f555]) ).
fof(f43854,plain,
spl50_58,
inference(avatar_contradiction_clause,[],[f43853]) ).
fof(f43853,plain,
( $false
| spl50_58 ),
inference(subsumption_resolution,[],[f43852,f560]) ).
fof(f43852,plain,
( ~ ron(vd1136,vd1139)
| spl50_58 ),
inference(subsumption_resolution,[],[f43851,f555]) ).
fof(f43851,plain,
( ~ rpoint(vd1136)
| ~ ron(vd1136,vd1139)
| spl50_58 ),
inference(subsumption_resolution,[],[f43844,f28071]) ).
fof(f28071,plain,
( ~ rless(vf(vd1125,vd1123),vf(vd1136,vd1123))
| spl50_58 ),
inference(avatar_component_clause,[],[f28069]) ).
fof(f33748,plain,
( spl50_65
| ~ spl50_66
| ~ spl50_55 ),
inference(avatar_split_clause,[],[f33735,f19160,f33745,f33741]) ).
fof(f33741,plain,
( spl50_65
<=> v0 = vf(sK29(sK33(vd1139),vd1139),sK29(sK33(vd1139),vd1139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_65])]) ).
fof(f33745,plain,
( spl50_66
<=> rcircle(sK33(vd1139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_66])]) ).
fof(f19160,plain,
( spl50_55
<=> rintersect(sK33(vd1139),vd1139) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_55])]) ).
fof(f33735,plain,
( ~ rcircle(sK33(vd1139))
| v0 = vf(sK29(sK33(vd1139),vd1139),sK29(sK33(vd1139),vd1139))
| ~ spl50_55 ),
inference(subsumption_resolution,[],[f33732,f562]) ).
fof(f562,plain,
rcircle(vd1139),
inference(cnf_transformation,[],[f3]) ).
fof(f33732,plain,
( ~ rcircle(vd1139)
| ~ rcircle(sK33(vd1139))
| v0 = vf(sK29(sK33(vd1139),vd1139),sK29(sK33(vd1139),vd1139))
| ~ spl50_55 ),
inference(resolution,[],[f2459,f19162]) ).
fof(f19162,plain,
( rintersect(sK33(vd1139),vd1139)
| ~ spl50_55 ),
inference(avatar_component_clause,[],[f19160]) ).
fof(f2459,plain,
! [X0,X1] :
( ~ rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rcircle(X0)
| v0 = vf(sK29(X0,X1),sK29(X0,X1)) ),
inference(resolution,[],[f967,f1439]) ).
fof(f967,plain,
! [X3,X1] :
( rpoint(sK29(X1,X3))
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f966]) ).
fof(f966,plain,
! [X2,X3,X1] :
( rpoint(sK29(X1,X2))
| ~ rcircle(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f670]) ).
fof(f670,plain,
! [X2,X3,X0,X1] :
( rpoint(sK29(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f492]) ).
fof(f492,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK29(X0,X2))
& ron(sK29(X0,X2),X0)
& ron(sK29(X0,X2),X2) )
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f309,f491]) ).
fof(f491,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
=> ( rpoint(sK29(X0,X2))
& ron(sK29(X0,X2),X0)
& ron(sK29(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(flattening,[],[f308]) ).
fof(f308,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rintersect(X0,X2) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) ) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X452,X453,X454,X455] :
( ( rcircle(X453)
& X452 = X453
& rcircle(X455)
& X454 = X455
& rintersect(X452,X454) )
=> ? [X456] :
( rpoint(X456)
& ron(X456,X452)
& ron(X456,X454) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))') ).
fof(f33645,plain,
( spl50_63
| ~ spl50_64
| ~ spl50_55 ),
inference(avatar_split_clause,[],[f33634,f19160,f33642,f33638]) ).
fof(f33638,plain,
( spl50_63
<=> v0 = vf(sK26(vd1139,sK33(vd1139)),sK26(vd1139,sK33(vd1139))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_63])]) ).
fof(f33642,plain,
( spl50_64
<=> rline(sK33(vd1139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_64])]) ).
fof(f33634,plain,
( ~ rline(sK33(vd1139))
| v0 = vf(sK26(vd1139,sK33(vd1139)),sK26(vd1139,sK33(vd1139)))
| ~ spl50_55 ),
inference(subsumption_resolution,[],[f33629,f562]) ).
fof(f33629,plain,
( ~ rline(sK33(vd1139))
| ~ rcircle(vd1139)
| v0 = vf(sK26(vd1139,sK33(vd1139)),sK26(vd1139,sK33(vd1139)))
| ~ spl50_55 ),
inference(resolution,[],[f2390,f19162]) ).
fof(f2390,plain,
! [X0,X1] :
( ~ rintersect(X1,X0)
| ~ rline(X1)
| ~ rcircle(X0)
| v0 = vf(sK26(X0,X1),sK26(X0,X1)) ),
inference(resolution,[],[f959,f1439]) ).
fof(f959,plain,
! [X3,X1] :
( rpoint(sK26(X1,X3))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f958]) ).
fof(f958,plain,
! [X2,X3,X1] :
( rpoint(sK26(X1,X2))
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f659]) ).
fof(f659,plain,
! [X2,X3,X0,X1] :
( rpoint(sK26(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f486]) ).
fof(f486,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK26(X0,X2))
& ron(sK26(X0,X2),X2)
& ron(sK26(X0,X2),X0) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f305,f485]) ).
fof(f485,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) )
=> ( rpoint(sK26(X0,X2))
& ron(sK26(X0,X2),X2)
& ron(sK26(X0,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(flattening,[],[f304]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rintersect(X2,X0) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) ) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X472,X473,X474,X475] :
( ( rcircle(X473)
& X472 = X473
& rline(X475)
& X474 = X475
& rintersect(X474,X472) )
=> ? [X476] :
( rpoint(X476)
& ron(X476,X474)
& ron(X476,X472) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))') ).
fof(f28703,plain,
( spl50_61
| ~ spl50_62 ),
inference(avatar_split_clause,[],[f28669,f28700,f28696]) ).
fof(f28696,plain,
( spl50_61
<=> rintersect(vd1138,vd1138) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_61])]) ).
fof(f28700,plain,
( spl50_62
<=> rinside(vd1123,vd1138) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_62])]) ).
fof(f28669,plain,
( ~ rinside(vd1123,vd1138)
| rintersect(vd1138,vd1138) ),
inference(subsumption_resolution,[],[f28665,f1445]) ).
fof(f28665,plain,
( ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1138)
| rintersect(vd1138,vd1138) ),
inference(duplicate_literal_removal,[],[f28639]) ).
fof(f28639,plain,
( ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1138)
| ~ rinside(vd1123,vd1138)
| rintersect(vd1138,vd1138) ),
inference(resolution,[],[f5827,f564]) ).
fof(f564,plain,
ron(vd1123,vd1138),
inference(cnf_transformation,[],[f3]) ).
fof(f5827,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ rpoint(X0)
| ~ rinside(vd1123,X1)
| ~ rinside(X0,vd1138)
| rintersect(X1,vd1138) ),
inference(subsumption_resolution,[],[f5801,f1445]) ).
fof(f5801,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(vd1123)
| ~ ron(X0,X1)
| ~ rinside(vd1123,X1)
| ~ rinside(X0,vd1138)
| rintersect(X1,vd1138) ),
inference(resolution,[],[f991,f564]) ).
fof(f991,plain,
! [X2,X3,X4,X5] :
( ~ ron(X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X4,X2)
| ~ rinside(X5,X2)
| ~ rinside(X4,X3)
| rintersect(X2,X3) ),
inference(equality_resolution,[],[f990]) ).
fof(f990,plain,
! [X2,X3,X1,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ ron(X4,X2)
| ~ rinside(X1,X2)
| ~ rinside(X4,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f680]) ).
fof(f680,plain,
! [X2,X3,X0,X1,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ~ ron(X1,X3) ),
inference(flattening,[],[f318]) ).
fof(f318,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ron(X0,X2)
& rinside(X1,X2)
& rinside(X0,X3)
& ron(X1,X3) )
=> rintersect(X2,X3) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X175,X176,X177,X178] :
( ( ? [X180] :
( rpoint(X180)
& X175 = X180 )
& ? [X179] :
( rpoint(X179)
& X176 = X179 )
& ron(X175,X177)
& rinside(X176,X177)
& rinside(X175,X178)
& ron(X176,X178) )
=> rintersect(X177,X178) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof(f28247,plain,
( spl50_59
| ~ spl50_60 ),
inference(avatar_split_clause,[],[f28213,f28244,f28240]) ).
fof(f28240,plain,
( spl50_59
<=> rintersect(vd1139,vd1138) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_59])]) ).
fof(f28244,plain,
( spl50_60
<=> rinside(vd1136,vd1138) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_60])]) ).
fof(f28213,plain,
( ~ rinside(vd1136,vd1138)
| rintersect(vd1139,vd1138) ),
inference(subsumption_resolution,[],[f28212,f551]) ).
fof(f28212,plain,
( ~ rinside(vd1125,vd1139)
| ~ rinside(vd1136,vd1138)
| rintersect(vd1139,vd1138) ),
inference(subsumption_resolution,[],[f28181,f555]) ).
fof(f28181,plain,
( ~ rpoint(vd1136)
| ~ rinside(vd1125,vd1139)
| ~ rinside(vd1136,vd1138)
| rintersect(vd1139,vd1138) ),
inference(resolution,[],[f5825,f560]) ).
fof(f5825,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ rpoint(X0)
| ~ rinside(vd1125,X1)
| ~ rinside(X0,vd1138)
| rintersect(X1,vd1138) ),
inference(subsumption_resolution,[],[f5799,f1444]) ).
fof(f5799,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(vd1125)
| ~ ron(X0,X1)
| ~ rinside(vd1125,X1)
| ~ rinside(X0,vd1138)
| rintersect(X1,vd1138) ),
inference(resolution,[],[f991,f563]) ).
fof(f563,plain,
ron(vd1125,vd1138),
inference(cnf_transformation,[],[f3]) ).
fof(f28072,plain,
( spl50_57
| ~ spl50_58 ),
inference(avatar_split_clause,[],[f3631,f28069,f28065]) ).
fof(f3631,plain,
( ~ rless(vf(vd1125,vd1123),vf(vd1136,vd1123))
| vf(vd1136,vd1123) = vf(vd1125,vd1123) ),
inference(forward_demodulation,[],[f3630,f1935]) ).
fof(f3630,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1136,vd1123))
| vf(vd1136,vd1123) = vf(vd1125,vd1123) ),
inference(forward_demodulation,[],[f3629,f1777]) ).
fof(f3629,plain,
( vf(vd1136,vd1123) = vf(vd1125,vd1123)
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(subsumption_resolution,[],[f3628,f2034]) ).
fof(f2034,plain,
rreal(vf(vd1136,vd1123)),
inference(subsumption_resolution,[],[f2033,f555]) ).
fof(f2033,plain,
( rreal(vf(vd1136,vd1123))
| ~ rpoint(vd1136) ),
inference(subsumption_resolution,[],[f2032,f1445]) ).
fof(f2032,plain,
( rreal(vf(vd1136,vd1123))
| ~ rpoint(vd1123)
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f2015]) ).
fof(f2015,plain,
vf(vd1136,vd1123) = sK17(vd1123,vd1136),
inference(forward_demodulation,[],[f1992,f1777]) ).
fof(f1992,plain,
vf(vd1123,vd1136) = sK17(vd1123,vd1136),
inference(resolution,[],[f1803,f1445]) ).
fof(f1803,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1136) = sK17(X0,vd1136) ),
inference(resolution,[],[f858,f555]) ).
fof(f3628,plain,
( ~ rreal(vf(vd1136,vd1123))
| vf(vd1136,vd1123) = vf(vd1125,vd1123)
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(forward_demodulation,[],[f3627,f1777]) ).
fof(f3627,plain,
( vf(vd1136,vd1123) = vf(vd1125,vd1123)
| ~ rreal(vf(vd1123,vd1136))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(subsumption_resolution,[],[f3626,f2340]) ).
fof(f3626,plain,
( ~ rreal(vf(vd1125,vd1123))
| vf(vd1136,vd1123) = vf(vd1125,vd1123)
| ~ rreal(vf(vd1123,vd1136))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(forward_demodulation,[],[f3625,f1935]) ).
fof(f3625,plain,
( vf(vd1136,vd1123) = vf(vd1125,vd1123)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1136))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(forward_demodulation,[],[f3624,f1777]) ).
fof(f3624,plain,
( vf(vd1123,vd1136) = vf(vd1125,vd1123)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1136))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(forward_demodulation,[],[f3617,f1935]) ).
fof(f3617,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1136))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(resolution,[],[f951,f1447]) ).
fof(f1447,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(forward_demodulation,[],[f565,f559]) ).
fof(f559,plain,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(245, 1137, 0)') ).
fof(f565,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(cnf_transformation,[],[f7]) ).
fof(f951,plain,
! [X3,X1] :
( ~ rless(X3,X1)
| X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f950]) ).
fof(f950,plain,
! [X2,X3,X1] :
( X1 = X2
| ~ rless(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rless(X1,X2) ),
inference(equality_resolution,[],[f653]) ).
fof(f653,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(flattening,[],[f300]) ).
fof(f300,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rless(X0,X2) )
=> ( X0 = X2
| ~ rless(X2,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X158,X159,X160,X161] :
( ( rreal(X159)
& X158 = X159
& rreal(X161)
& X160 = X161
& rless(X158,X160) )
=> ( X158 = X160
| ~ rless(X160,X158) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof(f19166,plain,
( spl50_55
| spl50_56
| ~ spl50_29 ),
inference(avatar_split_clause,[],[f8945,f8908,f19164,f19160]) ).
fof(f19164,plain,
( spl50_56
<=> ! [X0] :
( rS(X0,vd1125,sK34(X0,vd1125))
| ~ rinside(X0,vd1139)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_56])]) ).
fof(f8908,plain,
( spl50_29
<=> ! [X6,X5,X7] :
( rintersect(sK33(X7),X7)
| rS(X5,X6,sK34(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ rinside(X6,X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_29])]) ).
fof(f8945,plain,
( ! [X0] :
( rS(X0,vd1125,sK34(X0,vd1125))
| rintersect(sK33(vd1139),vd1139)
| ~ rpoint(X0)
| ~ rinside(X0,vd1139) )
| ~ spl50_29 ),
inference(subsumption_resolution,[],[f8944,f1444]) ).
fof(f8944,plain,
( ! [X0] :
( rS(X0,vd1125,sK34(X0,vd1125))
| ~ rpoint(vd1125)
| rintersect(sK33(vd1139),vd1139)
| ~ rpoint(X0)
| ~ rinside(X0,vd1139) )
| ~ spl50_29 ),
inference(subsumption_resolution,[],[f8940,f562]) ).
fof(f8940,plain,
( ! [X0] :
( rS(X0,vd1125,sK34(X0,vd1125))
| ~ rcircle(vd1139)
| ~ rpoint(vd1125)
| rintersect(sK33(vd1139),vd1139)
| ~ rpoint(X0)
| ~ rinside(X0,vd1139) )
| ~ spl50_29 ),
inference(resolution,[],[f8909,f551]) ).
fof(f8909,plain,
( ! [X6,X7,X5] :
( ~ rinside(X6,X7)
| rS(X5,X6,sK34(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) )
| ~ spl50_29 ),
inference(avatar_component_clause,[],[f8908]) ).
fof(f17879,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17789]) ).
fof(f17789,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f1444]) ).
fof(f17784,plain,
( ! [X12] : ~ rpoint(X12)
| ~ spl50_53 ),
inference(avatar_component_clause,[],[f17783]) ).
fof(f17783,plain,
( spl50_53
<=> ! [X12] : ~ rpoint(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_53])]) ).
fof(f17878,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17790]) ).
fof(f17790,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f555]) ).
fof(f17877,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17791]) ).
fof(f17791,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f1445]) ).
fof(f17876,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17792]) ).
fof(f17792,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f1443]) ).
fof(f1443,plain,
rpoint(vd1127),
inference(superposition,[],[f571,f570]) ).
fof(f570,plain,
vd1127 = vd1128,
inference(cnf_transformation,[],[f7]) ).
fof(f571,plain,
rpoint(vd1128),
inference(cnf_transformation,[],[f7]) ).
fof(f17875,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17793]) ).
fof(f17793,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f1442]) ).
fof(f1442,plain,
rpoint(vd1129),
inference(superposition,[],[f569,f568]) ).
fof(f568,plain,
vd1129 = vd1130,
inference(cnf_transformation,[],[f7]) ).
fof(f569,plain,
rpoint(vd1130),
inference(cnf_transformation,[],[f7]) ).
fof(f17874,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17794]) ).
fof(f17794,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f569]) ).
fof(f17873,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17795]) ).
fof(f17795,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f571]) ).
fof(f17872,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17796]) ).
fof(f17796,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f573]) ).
fof(f17871,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17797]) ).
fof(f17797,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f575]) ).
fof(f17870,plain,
~ spl50_53,
inference(avatar_contradiction_clause,[],[f17800]) ).
fof(f17800,plain,
( $false
| ~ spl50_53 ),
inference(resolution,[],[f17784,f554]) ).
fof(f554,plain,
rpoint(vd14),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
rpoint(vd14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(5), 0)') ).
fof(f17869,plain,
( ~ spl50_3
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17803]) ).
fof(f17803,plain,
( $false
| ~ spl50_3
| ~ spl50_53 ),
inference(resolution,[],[f17784,f3810]) ).
fof(f3810,plain,
( rpoint(sK9(vd1138))
| ~ spl50_3 ),
inference(avatar_component_clause,[],[f3809]) ).
fof(f3809,plain,
( spl50_3
<=> rpoint(sK9(vd1138)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_3])]) ).
fof(f17868,plain,
( ~ spl50_5
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17805]) ).
fof(f17805,plain,
( $false
| ~ spl50_5
| ~ spl50_53 ),
inference(resolution,[],[f17784,f4118]) ).
fof(f4118,plain,
( rpoint(sK10(vd1139))
| ~ spl50_5 ),
inference(avatar_component_clause,[],[f4117]) ).
fof(f4117,plain,
( spl50_5
<=> rpoint(sK10(vd1139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_5])]) ).
fof(f17867,plain,
( ~ spl50_9
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17807]) ).
fof(f17807,plain,
( $false
| ~ spl50_9
| ~ spl50_53 ),
inference(resolution,[],[f17784,f4692]) ).
fof(f4692,plain,
( rpoint(sK11(vd1139))
| ~ spl50_9 ),
inference(avatar_component_clause,[],[f4691]) ).
fof(f4691,plain,
( spl50_9
<=> rpoint(sK11(vd1139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_9])]) ).
fof(f17866,plain,
( ~ spl50_11
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17809]) ).
fof(f17809,plain,
( $false
| ~ spl50_11
| ~ spl50_53 ),
inference(resolution,[],[f17784,f5001]) ).
fof(f5001,plain,
( rpoint(sK12(vd1139))
| ~ spl50_11 ),
inference(avatar_component_clause,[],[f5000]) ).
fof(f5000,plain,
( spl50_11
<=> rpoint(sK12(vd1139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_11])]) ).
fof(f17865,plain,
( ~ spl50_13
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17811]) ).
fof(f17811,plain,
( $false
| ~ spl50_13
| ~ spl50_53 ),
inference(resolution,[],[f17784,f5385]) ).
fof(f5385,plain,
( rpoint(sK13(vd1125))
| ~ spl50_13 ),
inference(avatar_component_clause,[],[f5384]) ).
fof(f5384,plain,
( spl50_13
<=> rpoint(sK13(vd1125)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_13])]) ).
fof(f17864,plain,
( ~ spl50_15
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17812]) ).
fof(f17812,plain,
( $false
| ~ spl50_15
| ~ spl50_53 ),
inference(resolution,[],[f17784,f5470]) ).
fof(f5470,plain,
( rpoint(sK13(vd1136))
| ~ spl50_15 ),
inference(avatar_component_clause,[],[f5469]) ).
fof(f5469,plain,
( spl50_15
<=> rpoint(sK13(vd1136)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_15])]) ).
fof(f17863,plain,
( ~ spl50_17
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17813]) ).
fof(f17813,plain,
( $false
| ~ spl50_17
| ~ spl50_53 ),
inference(resolution,[],[f17784,f5555]) ).
fof(f5555,plain,
( rpoint(sK13(vd1123))
| ~ spl50_17 ),
inference(avatar_component_clause,[],[f5554]) ).
fof(f5554,plain,
( spl50_17
<=> rpoint(sK13(vd1123)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_17])]) ).
fof(f17862,plain,
( ~ spl50_19
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17814]) ).
fof(f17814,plain,
( $false
| ~ spl50_19
| ~ spl50_53 ),
inference(resolution,[],[f17784,f5701]) ).
fof(f5701,plain,
( rpoint(sK13(vd1127))
| ~ spl50_19 ),
inference(avatar_component_clause,[],[f5700]) ).
fof(f5700,plain,
( spl50_19
<=> rpoint(sK13(vd1127)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_19])]) ).
fof(f17861,plain,
( ~ spl50_21
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17815]) ).
fof(f17815,plain,
( $false
| ~ spl50_21
| ~ spl50_53 ),
inference(resolution,[],[f17784,f5786]) ).
fof(f5786,plain,
( rpoint(sK13(vd1129))
| ~ spl50_21 ),
inference(avatar_component_clause,[],[f5785]) ).
fof(f5785,plain,
( spl50_21
<=> rpoint(sK13(vd1129)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_21])]) ).
fof(f17860,plain,
( ~ spl50_23
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17816]) ).
fof(f17816,plain,
( $false
| ~ spl50_23
| ~ spl50_53 ),
inference(resolution,[],[f17784,f5923]) ).
fof(f5923,plain,
( rpoint(sK13(vd14))
| ~ spl50_23 ),
inference(avatar_component_clause,[],[f5922]) ).
fof(f5922,plain,
( spl50_23
<=> rpoint(sK13(vd14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_23])]) ).
fof(f17859,plain,
( ~ spl50_33
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17817]) ).
fof(f17817,plain,
( $false
| ~ spl50_33
| ~ spl50_53 ),
inference(resolution,[],[f17784,f12950]) ).
fof(f12950,plain,
( rpoint(sK13(sK9(vd1138)))
| ~ spl50_33 ),
inference(avatar_component_clause,[],[f12949]) ).
fof(f12949,plain,
( spl50_33
<=> rpoint(sK13(sK9(vd1138))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_33])]) ).
fof(f17858,plain,
( ~ spl50_35
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17818]) ).
fof(f17818,plain,
( $false
| ~ spl50_35
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13075]) ).
fof(f13075,plain,
( rpoint(sK13(sK10(vd1139)))
| ~ spl50_35 ),
inference(avatar_component_clause,[],[f13074]) ).
fof(f13074,plain,
( spl50_35
<=> rpoint(sK13(sK10(vd1139))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_35])]) ).
fof(f17857,plain,
( ~ spl50_37
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17819]) ).
fof(f17819,plain,
( $false
| ~ spl50_37
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13200]) ).
fof(f13200,plain,
( rpoint(sK13(sK11(vd1139)))
| ~ spl50_37 ),
inference(avatar_component_clause,[],[f13199]) ).
fof(f13199,plain,
( spl50_37
<=> rpoint(sK13(sK11(vd1139))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_37])]) ).
fof(f17856,plain,
( ~ spl50_39
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17820]) ).
fof(f17820,plain,
( $false
| ~ spl50_39
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13329]) ).
fof(f13329,plain,
( rpoint(sK13(sK12(vd1139)))
| ~ spl50_39 ),
inference(avatar_component_clause,[],[f13328]) ).
fof(f13328,plain,
( spl50_39
<=> rpoint(sK13(sK12(vd1139))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_39])]) ).
fof(f17855,plain,
( ~ spl50_41
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17821]) ).
fof(f17821,plain,
( $false
| ~ spl50_41
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13454]) ).
fof(f13454,plain,
( rpoint(sK13(sK13(vd1125)))
| ~ spl50_41 ),
inference(avatar_component_clause,[],[f13453]) ).
fof(f13453,plain,
( spl50_41
<=> rpoint(sK13(sK13(vd1125))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_41])]) ).
fof(f17854,plain,
( ~ spl50_43
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17822]) ).
fof(f17822,plain,
( $false
| ~ spl50_43
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13583]) ).
fof(f13583,plain,
( rpoint(sK13(sK13(vd1136)))
| ~ spl50_43 ),
inference(avatar_component_clause,[],[f13582]) ).
fof(f13582,plain,
( spl50_43
<=> rpoint(sK13(sK13(vd1136))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_43])]) ).
fof(f17853,plain,
( ~ spl50_45
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17823]) ).
fof(f17823,plain,
( $false
| ~ spl50_45
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13708]) ).
fof(f13708,plain,
( rpoint(sK13(sK13(vd1123)))
| ~ spl50_45 ),
inference(avatar_component_clause,[],[f13707]) ).
fof(f13707,plain,
( spl50_45
<=> rpoint(sK13(sK13(vd1123))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_45])]) ).
fof(f17852,plain,
( ~ spl50_47
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17824]) ).
fof(f17824,plain,
( $false
| ~ spl50_47
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13837]) ).
fof(f13837,plain,
( rpoint(sK13(sK13(vd1127)))
| ~ spl50_47 ),
inference(avatar_component_clause,[],[f13836]) ).
fof(f13836,plain,
( spl50_47
<=> rpoint(sK13(sK13(vd1127))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_47])]) ).
fof(f17851,plain,
( ~ spl50_49
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17825]) ).
fof(f17825,plain,
( $false
| ~ spl50_49
| ~ spl50_53 ),
inference(resolution,[],[f17784,f13962]) ).
fof(f13962,plain,
( rpoint(sK13(sK13(vd1129)))
| ~ spl50_49 ),
inference(avatar_component_clause,[],[f13961]) ).
fof(f13961,plain,
( spl50_49
<=> rpoint(sK13(sK13(vd1129))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_49])]) ).
fof(f17850,plain,
( ~ spl50_51
| ~ spl50_53 ),
inference(avatar_contradiction_clause,[],[f17826]) ).
fof(f17826,plain,
( $false
| ~ spl50_51
| ~ spl50_53 ),
inference(resolution,[],[f17784,f14091]) ).
fof(f14091,plain,
( rpoint(sK13(sK13(vd14)))
| ~ spl50_51 ),
inference(avatar_component_clause,[],[f14090]) ).
fof(f14090,plain,
( spl50_51
<=> rpoint(sK13(sK13(vd14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_51])]) ).
fof(f17788,plain,
( spl50_53
| spl50_54 ),
inference(avatar_split_clause,[],[f1394,f17786,f17783]) ).
fof(f17786,plain,
( spl50_54
<=> ! [X15,X11,X9,X13,X14,X10,X8] :
( rintersect(X13,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp))
| ~ rS(X8,X11,X14)
| X9 = X10
| ~ ron(X10,X15)
| ~ ron(X9,X14)
| ~ rline(X15)
| ~ rline(X14)
| ~ rline(X13)
| ~ rpoint(X11)
| ~ ron(X11,X15)
| ~ rpoint(X10)
| ~ ron(X10,X14)
| ~ rpoint(X9)
| ~ ron(X9,X13)
| ~ rpoint(X8)
| ~ ron(X8,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_54])]) ).
fof(f1394,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1393]) ).
fof(f1393,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1392]) ).
fof(f1392,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1391]) ).
fof(f1391,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1390]) ).
fof(f1390,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1389]) ).
fof(f1389,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1388]) ).
fof(f1388,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1387]) ).
fof(f1387,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f790]) ).
fof(f790,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f421]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(flattening,[],[f420]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(ennf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rpoint(X8)
& X0 = X8 )
& ? [X9] :
( rpoint(X9)
& X1 = X9 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X12] :
( rpoint(X12)
& X4 = X12 )
& ? [X13] :
( rline(X13)
& X5 = X13 )
& ? [X14] :
( rline(X14)
& X6 = X14 )
& ? [X15] :
( rline(X15)
& X7 = X15 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X1,X6)
& ron(X2,X6)
& ron(X2,X7)
& ron(X3,X7)
& X1 != X2
& rS(X0,X3,X6)
& rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) )
=> ( rintersect(X5,X6)
& ( ( ron(X4,X5)
& ron(X4,X6) )
=> rS(X4,X0,X6) ) ) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X688,X689,X690,X691,X692,X693,X694,X695] :
( ( ? [X703] :
( rpoint(X703)
& X688 = X703 )
& ? [X702] :
( rpoint(X702)
& X689 = X702 )
& ? [X701] :
( rpoint(X701)
& X690 = X701 )
& ? [X700] :
( rpoint(X700)
& X691 = X700 )
& ? [X699] :
( rpoint(X699)
& X692 = X699 )
& ? [X698] :
( rline(X698)
& X693 = X698 )
& ? [X697] :
( rline(X697)
& X694 = X697 )
& ? [X696] :
( rline(X696)
& X695 = X696 )
& ron(X688,X693)
& ron(X689,X693)
& ron(X689,X694)
& ron(X690,X694)
& ron(X690,X695)
& ron(X691,X695)
& X689 != X690
& rS(X688,X691,X694)
& rless(vplus(vangle(X688,X689,X690),vangle(X689,X690,X691)),vplus(vperp,vperp)) )
=> ( rintersect(X693,X694)
& ( ( ron(X692,X693)
& ron(X692,X694) )
=> rS(X692,X688,X694) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof(f14100,plain,
( ~ spl50_23
| spl50_51 ),
inference(avatar_contradiction_clause,[],[f14099]) ).
fof(f14099,plain,
( $false
| ~ spl50_23
| spl50_51 ),
inference(subsumption_resolution,[],[f14098,f5923]) ).
fof(f14098,plain,
( ~ rpoint(sK13(vd14))
| spl50_51 ),
inference(resolution,[],[f14092,f836]) ).
fof(f836,plain,
! [X1] :
( rpoint(sK13(X1))
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f601]) ).
fof(f601,plain,
! [X0,X1] :
( rpoint(sK13(X0))
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
! [X0,X1] :
( ( rpoint(sK13(X0))
& sK13(X0) != X0 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f249,f452]) ).
fof(f452,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
=> ( rpoint(sK13(X0))
& sK13(X0) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( rpoint(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& X0 != X2 ) ),
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X614,X615] :
( ( rpoint(X615)
& X614 = X615 )
=> ? [X616] :
( rpoint(X616)
& X614 != X616 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))') ).
fof(f14092,plain,
( ~ rpoint(sK13(sK13(vd14)))
| spl50_51 ),
inference(avatar_component_clause,[],[f14090]) ).
fof(f14097,plain,
( ~ spl50_51
| spl50_52
| ~ spl50_23 ),
inference(avatar_split_clause,[],[f14088,f5922,f14094,f14090]) ).
fof(f14094,plain,
( spl50_52
<=> rreal(vf(vd1136,sK13(sK13(vd14)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_52])]) ).
fof(f14088,plain,
( rreal(vf(vd1136,sK13(sK13(vd14))))
| ~ rpoint(sK13(sK13(vd14)))
| ~ spl50_23 ),
inference(subsumption_resolution,[],[f14087,f555]) ).
fof(f14087,plain,
( rreal(vf(vd1136,sK13(sK13(vd14))))
| ~ rpoint(sK13(sK13(vd14)))
| ~ rpoint(vd1136)
| ~ spl50_23 ),
inference(superposition,[],[f856,f12497]) ).
fof(f12497,plain,
( vf(vd1136,sK13(sK13(vd14))) = sK17(sK13(sK13(vd14)),vd1136)
| ~ spl50_23 ),
inference(forward_demodulation,[],[f5978,f5966]) ).
fof(f5966,plain,
( vf(vd1136,sK13(sK13(vd14))) = vf(sK13(sK13(vd14)),vd1136)
| ~ spl50_23 ),
inference(resolution,[],[f5923,f1790]) ).
fof(f1790,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1136,sK13(X0)) = vf(sK13(X0),vd1136) ),
inference(resolution,[],[f1749,f836]) ).
fof(f5978,plain,
( vf(sK13(sK13(vd14)),vd1136) = sK17(sK13(sK13(vd14)),vd1136)
| ~ spl50_23 ),
inference(resolution,[],[f5923,f2005]) ).
fof(f2005,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK13(X0),vd1136) = sK17(sK13(X0),vd1136) ),
inference(resolution,[],[f1803,f836]) ).
fof(f13971,plain,
( ~ spl50_21
| spl50_49 ),
inference(avatar_contradiction_clause,[],[f13970]) ).
fof(f13970,plain,
( $false
| ~ spl50_21
| spl50_49 ),
inference(subsumption_resolution,[],[f13969,f5786]) ).
fof(f13969,plain,
( ~ rpoint(sK13(vd1129))
| spl50_49 ),
inference(resolution,[],[f13963,f836]) ).
fof(f13963,plain,
( ~ rpoint(sK13(sK13(vd1129)))
| spl50_49 ),
inference(avatar_component_clause,[],[f13961]) ).
fof(f13968,plain,
( ~ spl50_49
| spl50_50
| ~ spl50_21 ),
inference(avatar_split_clause,[],[f13959,f5785,f13965,f13961]) ).
fof(f13965,plain,
( spl50_50
<=> rreal(vf(vd1136,sK13(sK13(vd1129)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_50])]) ).
fof(f13959,plain,
( rreal(vf(vd1136,sK13(sK13(vd1129))))
| ~ rpoint(sK13(sK13(vd1129)))
| ~ spl50_21 ),
inference(subsumption_resolution,[],[f13958,f555]) ).
fof(f13958,plain,
( rreal(vf(vd1136,sK13(sK13(vd1129))))
| ~ rpoint(sK13(sK13(vd1129)))
| ~ rpoint(vd1136)
| ~ spl50_21 ),
inference(superposition,[],[f856,f12136]) ).
fof(f12136,plain,
( vf(vd1136,sK13(sK13(vd1129))) = sK17(sK13(sK13(vd1129)),vd1136)
| ~ spl50_21 ),
inference(forward_demodulation,[],[f5893,f5881]) ).
fof(f5881,plain,
( vf(vd1136,sK13(sK13(vd1129))) = vf(sK13(sK13(vd1129)),vd1136)
| ~ spl50_21 ),
inference(resolution,[],[f5786,f1790]) ).
fof(f5893,plain,
( vf(sK13(sK13(vd1129)),vd1136) = sK17(sK13(sK13(vd1129)),vd1136)
| ~ spl50_21 ),
inference(resolution,[],[f5786,f2005]) ).
fof(f13846,plain,
( ~ spl50_19
| spl50_47 ),
inference(avatar_contradiction_clause,[],[f13845]) ).
fof(f13845,plain,
( $false
| ~ spl50_19
| spl50_47 ),
inference(subsumption_resolution,[],[f13844,f5701]) ).
fof(f13844,plain,
( ~ rpoint(sK13(vd1127))
| spl50_47 ),
inference(resolution,[],[f13838,f836]) ).
fof(f13838,plain,
( ~ rpoint(sK13(sK13(vd1127)))
| spl50_47 ),
inference(avatar_component_clause,[],[f13836]) ).
fof(f13843,plain,
( ~ spl50_47
| spl50_48
| ~ spl50_19 ),
inference(avatar_split_clause,[],[f13834,f5700,f13840,f13836]) ).
fof(f13840,plain,
( spl50_48
<=> rreal(vf(vd1136,sK13(sK13(vd1127)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_48])]) ).
fof(f13834,plain,
( rreal(vf(vd1136,sK13(sK13(vd1127))))
| ~ rpoint(sK13(sK13(vd1127)))
| ~ spl50_19 ),
inference(subsumption_resolution,[],[f13833,f555]) ).
fof(f13833,plain,
( rreal(vf(vd1136,sK13(sK13(vd1127))))
| ~ rpoint(sK13(sK13(vd1127)))
| ~ rpoint(vd1136)
| ~ spl50_19 ),
inference(superposition,[],[f856,f10835]) ).
fof(f10835,plain,
( vf(vd1136,sK13(sK13(vd1127))) = sK17(sK13(sK13(vd1127)),vd1136)
| ~ spl50_19 ),
inference(forward_demodulation,[],[f5756,f5744]) ).
fof(f5744,plain,
( vf(vd1136,sK13(sK13(vd1127))) = vf(sK13(sK13(vd1127)),vd1136)
| ~ spl50_19 ),
inference(resolution,[],[f5701,f1790]) ).
fof(f5756,plain,
( vf(sK13(sK13(vd1127)),vd1136) = sK17(sK13(sK13(vd1127)),vd1136)
| ~ spl50_19 ),
inference(resolution,[],[f5701,f2005]) ).
fof(f13717,plain,
( ~ spl50_17
| spl50_45 ),
inference(avatar_contradiction_clause,[],[f13716]) ).
fof(f13716,plain,
( $false
| ~ spl50_17
| spl50_45 ),
inference(subsumption_resolution,[],[f13715,f5555]) ).
fof(f13715,plain,
( ~ rpoint(sK13(vd1123))
| spl50_45 ),
inference(resolution,[],[f13709,f836]) ).
fof(f13709,plain,
( ~ rpoint(sK13(sK13(vd1123)))
| spl50_45 ),
inference(avatar_component_clause,[],[f13707]) ).
fof(f13714,plain,
( ~ spl50_45
| spl50_46
| ~ spl50_17 ),
inference(avatar_split_clause,[],[f13705,f5554,f13711,f13707]) ).
fof(f13711,plain,
( spl50_46
<=> rreal(vf(vd1136,sK13(sK13(vd1123)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_46])]) ).
fof(f13705,plain,
( rreal(vf(vd1136,sK13(sK13(vd1123))))
| ~ rpoint(sK13(sK13(vd1123)))
| ~ spl50_17 ),
inference(subsumption_resolution,[],[f13704,f555]) ).
fof(f13704,plain,
( rreal(vf(vd1136,sK13(sK13(vd1123))))
| ~ rpoint(sK13(sK13(vd1123)))
| ~ rpoint(vd1136)
| ~ spl50_17 ),
inference(superposition,[],[f856,f10466]) ).
fof(f10466,plain,
( vf(vd1136,sK13(sK13(vd1123))) = sK17(sK13(sK13(vd1123)),vd1136)
| ~ spl50_17 ),
inference(forward_demodulation,[],[f5671,f5659]) ).
fof(f5659,plain,
( vf(vd1136,sK13(sK13(vd1123))) = vf(sK13(sK13(vd1123)),vd1136)
| ~ spl50_17 ),
inference(resolution,[],[f5555,f1790]) ).
fof(f5671,plain,
( vf(sK13(sK13(vd1123)),vd1136) = sK17(sK13(sK13(vd1123)),vd1136)
| ~ spl50_17 ),
inference(resolution,[],[f5555,f2005]) ).
fof(f13592,plain,
( ~ spl50_15
| spl50_43 ),
inference(avatar_contradiction_clause,[],[f13591]) ).
fof(f13591,plain,
( $false
| ~ spl50_15
| spl50_43 ),
inference(subsumption_resolution,[],[f13590,f5470]) ).
fof(f13590,plain,
( ~ rpoint(sK13(vd1136))
| spl50_43 ),
inference(resolution,[],[f13584,f836]) ).
fof(f13584,plain,
( ~ rpoint(sK13(sK13(vd1136)))
| spl50_43 ),
inference(avatar_component_clause,[],[f13582]) ).
fof(f13589,plain,
( ~ spl50_43
| spl50_44
| ~ spl50_15 ),
inference(avatar_split_clause,[],[f13580,f5469,f13586,f13582]) ).
fof(f13586,plain,
( spl50_44
<=> rreal(vf(vd1136,sK13(sK13(vd1136)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_44])]) ).
fof(f13580,plain,
( rreal(vf(vd1136,sK13(sK13(vd1136))))
| ~ rpoint(sK13(sK13(vd1136)))
| ~ spl50_15 ),
inference(subsumption_resolution,[],[f13579,f555]) ).
fof(f13579,plain,
( rreal(vf(vd1136,sK13(sK13(vd1136))))
| ~ rpoint(sK13(sK13(vd1136)))
| ~ rpoint(vd1136)
| ~ spl50_15 ),
inference(superposition,[],[f856,f10213]) ).
fof(f10213,plain,
( vf(vd1136,sK13(sK13(vd1136))) = sK17(sK13(sK13(vd1136)),vd1136)
| ~ spl50_15 ),
inference(forward_demodulation,[],[f5525,f5513]) ).
fof(f5513,plain,
( vf(vd1136,sK13(sK13(vd1136))) = vf(sK13(sK13(vd1136)),vd1136)
| ~ spl50_15 ),
inference(resolution,[],[f5470,f1790]) ).
fof(f5525,plain,
( vf(sK13(sK13(vd1136)),vd1136) = sK17(sK13(sK13(vd1136)),vd1136)
| ~ spl50_15 ),
inference(resolution,[],[f5470,f2005]) ).
fof(f13463,plain,
( ~ spl50_13
| spl50_41 ),
inference(avatar_contradiction_clause,[],[f13462]) ).
fof(f13462,plain,
( $false
| ~ spl50_13
| spl50_41 ),
inference(subsumption_resolution,[],[f13461,f5385]) ).
fof(f13461,plain,
( ~ rpoint(sK13(vd1125))
| spl50_41 ),
inference(resolution,[],[f13455,f836]) ).
fof(f13455,plain,
( ~ rpoint(sK13(sK13(vd1125)))
| spl50_41 ),
inference(avatar_component_clause,[],[f13453]) ).
fof(f13460,plain,
( ~ spl50_41
| spl50_42
| ~ spl50_13 ),
inference(avatar_split_clause,[],[f13451,f5384,f13457,f13453]) ).
fof(f13457,plain,
( spl50_42
<=> rreal(vf(vd1136,sK13(sK13(vd1125)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_42])]) ).
fof(f13451,plain,
( rreal(vf(vd1136,sK13(sK13(vd1125))))
| ~ rpoint(sK13(sK13(vd1125)))
| ~ spl50_13 ),
inference(subsumption_resolution,[],[f13450,f555]) ).
fof(f13450,plain,
( rreal(vf(vd1136,sK13(sK13(vd1125))))
| ~ rpoint(sK13(sK13(vd1125)))
| ~ rpoint(vd1136)
| ~ spl50_13 ),
inference(superposition,[],[f856,f9960]) ).
fof(f9960,plain,
( vf(vd1136,sK13(sK13(vd1125))) = sK17(sK13(sK13(vd1125)),vd1136)
| ~ spl50_13 ),
inference(forward_demodulation,[],[f5440,f5428]) ).
fof(f5428,plain,
( vf(vd1136,sK13(sK13(vd1125))) = vf(sK13(sK13(vd1125)),vd1136)
| ~ spl50_13 ),
inference(resolution,[],[f5385,f1790]) ).
fof(f5440,plain,
( vf(sK13(sK13(vd1125)),vd1136) = sK17(sK13(sK13(vd1125)),vd1136)
| ~ spl50_13 ),
inference(resolution,[],[f5385,f2005]) ).
fof(f13338,plain,
( ~ spl50_11
| spl50_39 ),
inference(avatar_contradiction_clause,[],[f13337]) ).
fof(f13337,plain,
( $false
| ~ spl50_11
| spl50_39 ),
inference(subsumption_resolution,[],[f13336,f5001]) ).
fof(f13336,plain,
( ~ rpoint(sK12(vd1139))
| spl50_39 ),
inference(resolution,[],[f13330,f836]) ).
fof(f13330,plain,
( ~ rpoint(sK13(sK12(vd1139)))
| spl50_39 ),
inference(avatar_component_clause,[],[f13328]) ).
fof(f13335,plain,
( ~ spl50_39
| spl50_40
| ~ spl50_11 ),
inference(avatar_split_clause,[],[f13326,f5000,f13332,f13328]) ).
fof(f13332,plain,
( spl50_40
<=> rreal(vf(vd1136,sK13(sK12(vd1139)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_40])]) ).
fof(f13326,plain,
( rreal(vf(vd1136,sK13(sK12(vd1139))))
| ~ rpoint(sK13(sK12(vd1139)))
| ~ spl50_11 ),
inference(subsumption_resolution,[],[f13325,f555]) ).
fof(f13325,plain,
( rreal(vf(vd1136,sK13(sK12(vd1139))))
| ~ rpoint(sK13(sK12(vd1139)))
| ~ rpoint(vd1136)
| ~ spl50_11 ),
inference(superposition,[],[f856,f9780]) ).
fof(f9780,plain,
( vf(vd1136,sK13(sK12(vd1139))) = sK17(sK13(sK12(vd1139)),vd1136)
| ~ spl50_11 ),
inference(forward_demodulation,[],[f5286,f5044]) ).
fof(f5044,plain,
( vf(vd1136,sK13(sK12(vd1139))) = vf(sK13(sK12(vd1139)),vd1136)
| ~ spl50_11 ),
inference(resolution,[],[f5001,f1790]) ).
fof(f5286,plain,
( vf(sK13(sK12(vd1139)),vd1136) = sK17(sK13(sK12(vd1139)),vd1136)
| ~ spl50_11 ),
inference(resolution,[],[f2005,f5001]) ).
fof(f13213,plain,
( ~ spl50_9
| spl50_37 ),
inference(avatar_contradiction_clause,[],[f13212]) ).
fof(f13212,plain,
( $false
| ~ spl50_9
| spl50_37 ),
inference(subsumption_resolution,[],[f13211,f4692]) ).
fof(f13211,plain,
( ~ rpoint(sK11(vd1139))
| spl50_37 ),
inference(resolution,[],[f13201,f836]) ).
fof(f13201,plain,
( ~ rpoint(sK13(sK11(vd1139)))
| spl50_37 ),
inference(avatar_component_clause,[],[f13199]) ).
fof(f13206,plain,
( ~ spl50_37
| spl50_38
| ~ spl50_9 ),
inference(avatar_split_clause,[],[f13197,f4691,f13203,f13199]) ).
fof(f13203,plain,
( spl50_38
<=> rreal(vf(vd1136,sK13(sK11(vd1139)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_38])]) ).
fof(f13197,plain,
( rreal(vf(vd1136,sK13(sK11(vd1139))))
| ~ rpoint(sK13(sK11(vd1139)))
| ~ spl50_9 ),
inference(subsumption_resolution,[],[f13196,f555]) ).
fof(f13196,plain,
( rreal(vf(vd1136,sK13(sK11(vd1139))))
| ~ rpoint(sK13(sK11(vd1139)))
| ~ rpoint(vd1136)
| ~ spl50_9 ),
inference(superposition,[],[f856,f9779]) ).
fof(f9779,plain,
( vf(vd1136,sK13(sK11(vd1139))) = sK17(sK13(sK11(vd1139)),vd1136)
| ~ spl50_9 ),
inference(forward_demodulation,[],[f5284,f4734]) ).
fof(f4734,plain,
( vf(vd1136,sK13(sK11(vd1139))) = vf(sK13(sK11(vd1139)),vd1136)
| ~ spl50_9 ),
inference(resolution,[],[f4692,f1790]) ).
fof(f5284,plain,
( vf(sK13(sK11(vd1139)),vd1136) = sK17(sK13(sK11(vd1139)),vd1136)
| ~ spl50_9 ),
inference(resolution,[],[f2005,f4692]) ).
fof(f13084,plain,
( ~ spl50_5
| spl50_35 ),
inference(avatar_contradiction_clause,[],[f13083]) ).
fof(f13083,plain,
( $false
| ~ spl50_5
| spl50_35 ),
inference(subsumption_resolution,[],[f13082,f4118]) ).
fof(f13082,plain,
( ~ rpoint(sK10(vd1139))
| spl50_35 ),
inference(resolution,[],[f13076,f836]) ).
fof(f13076,plain,
( ~ rpoint(sK13(sK10(vd1139)))
| spl50_35 ),
inference(avatar_component_clause,[],[f13074]) ).
fof(f13081,plain,
( ~ spl50_35
| spl50_36
| ~ spl50_5 ),
inference(avatar_split_clause,[],[f13072,f4117,f13078,f13074]) ).
fof(f13078,plain,
( spl50_36
<=> rreal(vf(vd1136,sK13(sK10(vd1139)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_36])]) ).
fof(f13072,plain,
( rreal(vf(vd1136,sK13(sK10(vd1139))))
| ~ rpoint(sK13(sK10(vd1139)))
| ~ spl50_5 ),
inference(subsumption_resolution,[],[f13071,f555]) ).
fof(f13071,plain,
( rreal(vf(vd1136,sK13(sK10(vd1139))))
| ~ rpoint(sK13(sK10(vd1139)))
| ~ rpoint(vd1136)
| ~ spl50_5 ),
inference(superposition,[],[f856,f9778]) ).
fof(f9778,plain,
( vf(vd1136,sK13(sK10(vd1139))) = sK17(sK13(sK10(vd1139)),vd1136)
| ~ spl50_5 ),
inference(forward_demodulation,[],[f5282,f4160]) ).
fof(f4160,plain,
( vf(vd1136,sK13(sK10(vd1139))) = vf(sK13(sK10(vd1139)),vd1136)
| ~ spl50_5 ),
inference(resolution,[],[f4118,f1790]) ).
fof(f5282,plain,
( vf(sK13(sK10(vd1139)),vd1136) = sK17(sK13(sK10(vd1139)),vd1136)
| ~ spl50_5 ),
inference(resolution,[],[f2005,f4118]) ).
fof(f12959,plain,
( ~ spl50_3
| spl50_33 ),
inference(avatar_contradiction_clause,[],[f12958]) ).
fof(f12958,plain,
( $false
| ~ spl50_3
| spl50_33 ),
inference(subsumption_resolution,[],[f12957,f3810]) ).
fof(f12957,plain,
( ~ rpoint(sK9(vd1138))
| spl50_33 ),
inference(resolution,[],[f12951,f836]) ).
fof(f12951,plain,
( ~ rpoint(sK13(sK9(vd1138)))
| spl50_33 ),
inference(avatar_component_clause,[],[f12949]) ).
fof(f12956,plain,
( ~ spl50_33
| spl50_34
| ~ spl50_3 ),
inference(avatar_split_clause,[],[f12947,f3809,f12953,f12949]) ).
fof(f12953,plain,
( spl50_34
<=> rreal(vf(vd1136,sK13(sK9(vd1138)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_34])]) ).
fof(f12947,plain,
( rreal(vf(vd1136,sK13(sK9(vd1138))))
| ~ rpoint(sK13(sK9(vd1138)))
| ~ spl50_3 ),
inference(subsumption_resolution,[],[f12946,f555]) ).
fof(f12946,plain,
( rreal(vf(vd1136,sK13(sK9(vd1138))))
| ~ rpoint(sK13(sK9(vd1138)))
| ~ rpoint(vd1136)
| ~ spl50_3 ),
inference(superposition,[],[f856,f9777]) ).
fof(f9777,plain,
( vf(vd1136,sK13(sK9(vd1138))) = sK17(sK13(sK9(vd1138)),vd1136)
| ~ spl50_3 ),
inference(forward_demodulation,[],[f5280,f3849]) ).
fof(f3849,plain,
( vf(vd1136,sK13(sK9(vd1138))) = vf(sK13(sK9(vd1138)),vd1136)
| ~ spl50_3 ),
inference(resolution,[],[f3810,f1790]) ).
fof(f5280,plain,
( vf(sK13(sK9(vd1138)),vd1136) = sK17(sK13(sK9(vd1138)),vd1136)
| ~ spl50_3 ),
inference(resolution,[],[f2005,f3810]) ).
fof(f9509,plain,
( spl50_28
| spl50_32 ),
inference(avatar_split_clause,[],[f1041,f9507,f8905]) ).
fof(f8905,plain,
( spl50_28
<=> ! [X8] : ~ rcircle(X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_28])]) ).
fof(f9507,plain,
( spl50_32
<=> ! [X6,X5,X7] :
( rintersect(sK33(X7),X7)
| rS(X5,X6,sK34(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_32])]) ).
fof(f1041,plain,
! [X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ ron(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1040]) ).
fof(f1040,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1039]) ).
fof(f1039,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1038]) ).
fof(f1038,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ ron(X1,X2)
| rS(X5,X1,sK34(X5,X1)) ),
inference(equality_resolution,[],[f691]) ).
fof(f691,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rS(X0,X1,sK34(X0,X1)) ),
inference(cnf_transformation,[],[f504]) ).
fof(f504,plain,
! [X0,X1,X2,X3] :
( rintersect(sK33(X2),X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X2 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X3 != X8 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| rS(X0,X1,sK34(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f501,f503,f502]) ).
fof(f502,plain,
! [X2] :
( ? [X4] : rintersect(X4,X2)
=> rintersect(sK33(X2),X2) ),
introduced(choice_axiom,[]) ).
fof(f503,plain,
! [X0,X1] :
( ? [X9] : rS(X0,X1,X9)
=> rS(X0,X1,sK34(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f501,plain,
! [X0,X1,X2,X3] :
( ? [X4] : rintersect(X4,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X2 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X3 != X8 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ? [X9] : rS(X0,X1,X9) ),
inference(rectify,[],[f335]) ).
fof(f335,plain,
! [X0,X1,X2,X3] :
( ? [X9] : rintersect(X9,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ? [X8] : rS(X0,X1,X8) ),
inference(flattening,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( ? [X9] : rintersect(X9,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ? [X8] : rS(X0,X1,X8) ),
inference(ennf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rcircle(X6)
& X2 = X6 )
& ? [X7] :
( rcircle(X7)
& X3 = X7 )
& ( rinside(X0,X2)
| ron(X0,X2) )
& ( rinside(X1,X2)
| ron(X1,X2) )
& ~ ? [X8] : rS(X0,X1,X8) )
=> ? [X9] : rintersect(X9,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X195,X196,X197,X198] :
( ( ? [X203] :
( rpoint(X203)
& X195 = X203 )
& ? [X202] :
( rpoint(X202)
& X196 = X202 )
& ? [X201] :
( rcircle(X201)
& X197 = X201 )
& ? [X200] :
( rcircle(X200)
& X198 = X200 )
& ( rinside(X195,X197)
| ron(X195,X197) )
& ( rinside(X196,X197)
| ron(X196,X197) )
& ~ ? [X199] : rS(X195,X196,X199) )
=> ? [X204] : rintersect(X204,X197) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))') ).
fof(f9369,plain,
( spl50_28
| spl50_31 ),
inference(avatar_split_clause,[],[f1037,f9367,f8905]) ).
fof(f9367,plain,
( spl50_31
<=> ! [X6,X5,X7] :
( rintersect(sK33(X7),X7)
| rS(X5,X6,sK34(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ rinside(X6,X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_31])]) ).
fof(f1037,plain,
! [X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ ron(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1036]) ).
fof(f1036,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1035]) ).
fof(f1035,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ rinside(X6,X2)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1034]) ).
fof(f1034,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ rinside(X1,X2)
| rS(X5,X1,sK34(X5,X1)) ),
inference(equality_resolution,[],[f692]) ).
fof(f692,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| rS(X0,X1,sK34(X0,X1)) ),
inference(cnf_transformation,[],[f504]) ).
fof(f9117,plain,
( spl50_28
| spl50_30 ),
inference(avatar_split_clause,[],[f1033,f9115,f8905]) ).
fof(f9115,plain,
( spl50_30
<=> ! [X6,X5,X7] :
( rintersect(sK33(X7),X7)
| rS(X5,X6,sK34(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_30])]) ).
fof(f1033,plain,
! [X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ rinside(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1032]) ).
fof(f1032,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1031]) ).
fof(f1031,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ ron(X6,X2)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1030]) ).
fof(f1030,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ ron(X1,X2)
| rS(X5,X1,sK34(X5,X1)) ),
inference(equality_resolution,[],[f693]) ).
fof(f693,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X0,X2)
| ~ ron(X1,X2)
| rS(X0,X1,sK34(X0,X1)) ),
inference(cnf_transformation,[],[f504]) ).
fof(f8914,plain,
~ spl50_28,
inference(avatar_contradiction_clause,[],[f8911]) ).
fof(f8911,plain,
( $false
| ~ spl50_28 ),
inference(resolution,[],[f8906,f562]) ).
fof(f8906,plain,
( ! [X8] : ~ rcircle(X8)
| ~ spl50_28 ),
inference(avatar_component_clause,[],[f8905]) ).
fof(f8910,plain,
( spl50_28
| spl50_29 ),
inference(avatar_split_clause,[],[f1029,f8908,f8905]) ).
fof(f1029,plain,
! [X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ rinside(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1028]) ).
fof(f1028,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK33(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1027]) ).
fof(f1027,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ rinside(X6,X2)
| rS(X5,X6,sK34(X5,X6)) ),
inference(equality_resolution,[],[f1026]) ).
fof(f1026,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ rinside(X1,X2)
| rS(X5,X1,sK34(X5,X1)) ),
inference(equality_resolution,[],[f694]) ).
fof(f694,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK33(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X0,X2)
| ~ rinside(X1,X2)
| rS(X0,X1,sK34(X0,X1)) ),
inference(cnf_transformation,[],[f504]) ).
fof(f8770,plain,
( spl50_25
| spl50_27 ),
inference(avatar_split_clause,[],[f1314,f8768,f8572]) ).
fof(f8572,plain,
( spl50_25
<=> ! [X4] : ~ rline(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_25])]) ).
fof(f8768,plain,
( spl50_27
<=> ! [X9,X7,X6,X8] :
( rinside(X9,X6)
| ~ rR(X9,X7,X8)
| ~ rcircle(X6)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rinside(X8,X6)
| ~ rpoint(X7)
| ~ ron(X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_27])]) ).
fof(f1314,plain,
! [X8,X6,X9,X7,X4] :
( rinside(X9,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ ron(X7,X6)
| ~ rinside(X8,X6)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1313]) ).
fof(f1313,plain,
! [X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1312]) ).
fof(f1312,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1311]) ).
fof(f1311,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X2,X7,X8) ),
inference(equality_resolution,[],[f1310]) ).
fof(f1310,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X7,X1) ),
inference(equality_resolution,[],[f766]) ).
fof(f766,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X0,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(flattening,[],[f404]) ).
fof(f404,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(ennf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& rline(X4)
& X3 = X4
& rcircle(X6)
& X5 = X6
& ( rinside(X0,X5)
| ron(X0,X5) )
& ( rinside(X1,X5)
| ron(X1,X5) )
& rR(X2,X0,X1) )
=> rinside(X2,X5) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X233,X234,X235,X236,X237,X238,X239] :
( ( ? [X242] :
( rpoint(X242)
& X233 = X242 )
& ? [X241] :
( rpoint(X241)
& X234 = X241 )
& ? [X240] :
( rpoint(X240)
& X235 = X240 )
& rline(X237)
& X236 = X237
& rcircle(X239)
& X238 = X239
& ( rinside(X233,X238)
| ron(X233,X238) )
& ( rinside(X234,X238)
| ron(X234,X238) )
& rR(X235,X233,X234) )
=> rinside(X235,X238) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof(f8580,plain,
~ spl50_25,
inference(avatar_contradiction_clause,[],[f8578]) ).
fof(f8578,plain,
( $false
| ~ spl50_25 ),
inference(resolution,[],[f8573,f552]) ).
fof(f552,plain,
rline(vd1138),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
rline(vd1138),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(246, 0)') ).
fof(f8573,plain,
( ! [X4] : ~ rline(X4)
| ~ spl50_25 ),
inference(avatar_component_clause,[],[f8572]) ).
fof(f8577,plain,
( spl50_25
| spl50_26 ),
inference(avatar_split_clause,[],[f1304,f8575,f8572]) ).
fof(f8575,plain,
( spl50_26
<=> ! [X9,X7,X6,X8] :
( rinside(X9,X6)
| ~ rR(X9,X7,X8)
| ~ rcircle(X6)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rinside(X8,X6)
| ~ rpoint(X7)
| ~ rinside(X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_26])]) ).
fof(f1304,plain,
! [X8,X6,X9,X7,X4] :
( rinside(X9,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ rinside(X7,X6)
| ~ rinside(X8,X6)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1303]) ).
fof(f1303,plain,
! [X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1302]) ).
fof(f1302,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1301]) ).
fof(f1301,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X2,X7,X8) ),
inference(equality_resolution,[],[f1300]) ).
fof(f1300,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X7,X1) ),
inference(equality_resolution,[],[f768]) ).
fof(f768,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X0,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f405]) ).
fof(f5932,plain,
spl50_23,
inference(avatar_contradiction_clause,[],[f5931]) ).
fof(f5931,plain,
( $false
| spl50_23 ),
inference(subsumption_resolution,[],[f5930,f554]) ).
fof(f5930,plain,
( ~ rpoint(vd14)
| spl50_23 ),
inference(resolution,[],[f5924,f836]) ).
fof(f5924,plain,
( ~ rpoint(sK13(vd14))
| spl50_23 ),
inference(avatar_component_clause,[],[f5922]) ).
fof(f5929,plain,
( ~ spl50_23
| spl50_24 ),
inference(avatar_split_clause,[],[f5920,f5926,f5922]) ).
fof(f5926,plain,
( spl50_24
<=> rreal(vf(vd1136,sK13(vd14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_24])]) ).
fof(f5920,plain,
( rreal(vf(vd1136,sK13(vd14)))
| ~ rpoint(sK13(vd14)) ),
inference(subsumption_resolution,[],[f5919,f555]) ).
fof(f5919,plain,
( rreal(vf(vd1136,sK13(vd14)))
| ~ rpoint(sK13(vd14))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f5319]) ).
fof(f5319,plain,
vf(vd1136,sK13(vd14)) = sK17(sK13(vd14),vd1136),
inference(forward_demodulation,[],[f5277,f3409]) ).
fof(f3409,plain,
vf(vd1136,sK13(vd14)) = vf(sK13(vd14),vd1136),
inference(resolution,[],[f1790,f554]) ).
fof(f5277,plain,
vf(sK13(vd14),vd1136) = sK17(sK13(vd14),vd1136),
inference(resolution,[],[f2005,f554]) ).
fof(f5795,plain,
spl50_21,
inference(avatar_contradiction_clause,[],[f5794]) ).
fof(f5794,plain,
( $false
| spl50_21 ),
inference(subsumption_resolution,[],[f5793,f1442]) ).
fof(f5793,plain,
( ~ rpoint(vd1129)
| spl50_21 ),
inference(resolution,[],[f5787,f836]) ).
fof(f5787,plain,
( ~ rpoint(sK13(vd1129))
| spl50_21 ),
inference(avatar_component_clause,[],[f5785]) ).
fof(f5792,plain,
( ~ spl50_21
| spl50_22 ),
inference(avatar_split_clause,[],[f5783,f5789,f5785]) ).
fof(f5789,plain,
( spl50_22
<=> rreal(vf(vd1136,sK13(vd1129))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_22])]) ).
fof(f5783,plain,
( rreal(vf(vd1136,sK13(vd1129)))
| ~ rpoint(sK13(vd1129)) ),
inference(subsumption_resolution,[],[f5782,f555]) ).
fof(f5782,plain,
( rreal(vf(vd1136,sK13(vd1129)))
| ~ rpoint(sK13(vd1129))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f5310]) ).
fof(f5310,plain,
vf(vd1136,sK13(vd1129)) = sK17(sK13(vd1129),vd1136),
inference(forward_demodulation,[],[f5271,f3404]) ).
fof(f3404,plain,
vf(vd1136,sK13(vd1129)) = vf(sK13(vd1129),vd1136),
inference(resolution,[],[f1790,f1442]) ).
fof(f5271,plain,
vf(sK13(vd1129),vd1136) = sK17(sK13(vd1129),vd1136),
inference(resolution,[],[f2005,f1442]) ).
fof(f5710,plain,
spl50_19,
inference(avatar_contradiction_clause,[],[f5709]) ).
fof(f5709,plain,
( $false
| spl50_19 ),
inference(subsumption_resolution,[],[f5708,f1443]) ).
fof(f5708,plain,
( ~ rpoint(vd1127)
| spl50_19 ),
inference(resolution,[],[f5702,f836]) ).
fof(f5702,plain,
( ~ rpoint(sK13(vd1127))
| spl50_19 ),
inference(avatar_component_clause,[],[f5700]) ).
fof(f5707,plain,
( ~ spl50_19
| spl50_20 ),
inference(avatar_split_clause,[],[f5698,f5704,f5700]) ).
fof(f5704,plain,
( spl50_20
<=> rreal(vf(vd1136,sK13(vd1127))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_20])]) ).
fof(f5698,plain,
( rreal(vf(vd1136,sK13(vd1127)))
| ~ rpoint(sK13(vd1127)) ),
inference(subsumption_resolution,[],[f5697,f555]) ).
fof(f5697,plain,
( rreal(vf(vd1136,sK13(vd1127)))
| ~ rpoint(sK13(vd1127))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f5309]) ).
fof(f5309,plain,
vf(vd1136,sK13(vd1127)) = sK17(sK13(vd1127),vd1136),
inference(forward_demodulation,[],[f5270,f3403]) ).
fof(f3403,plain,
vf(vd1136,sK13(vd1127)) = vf(sK13(vd1127),vd1136),
inference(resolution,[],[f1790,f1443]) ).
fof(f5270,plain,
vf(sK13(vd1127),vd1136) = sK17(sK13(vd1127),vd1136),
inference(resolution,[],[f2005,f1443]) ).
fof(f5625,plain,
spl50_17,
inference(avatar_contradiction_clause,[],[f5624]) ).
fof(f5624,plain,
( $false
| spl50_17 ),
inference(subsumption_resolution,[],[f5623,f1445]) ).
fof(f5623,plain,
( ~ rpoint(vd1123)
| spl50_17 ),
inference(resolution,[],[f5556,f836]) ).
fof(f5556,plain,
( ~ rpoint(sK13(vd1123))
| spl50_17 ),
inference(avatar_component_clause,[],[f5554]) ).
fof(f5561,plain,
( ~ spl50_17
| spl50_18 ),
inference(avatar_split_clause,[],[f5552,f5558,f5554]) ).
fof(f5558,plain,
( spl50_18
<=> rreal(vf(vd1136,sK13(vd1123))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_18])]) ).
fof(f5552,plain,
( rreal(vf(vd1136,sK13(vd1123)))
| ~ rpoint(sK13(vd1123)) ),
inference(subsumption_resolution,[],[f5551,f555]) ).
fof(f5551,plain,
( rreal(vf(vd1136,sK13(vd1123)))
| ~ rpoint(sK13(vd1123))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f5308]) ).
fof(f5308,plain,
vf(vd1136,sK13(vd1123)) = sK17(sK13(vd1123),vd1136),
inference(forward_demodulation,[],[f5269,f3402]) ).
fof(f3402,plain,
vf(vd1136,sK13(vd1123)) = vf(sK13(vd1123),vd1136),
inference(resolution,[],[f1790,f1445]) ).
fof(f5269,plain,
vf(sK13(vd1123),vd1136) = sK17(sK13(vd1123),vd1136),
inference(resolution,[],[f2005,f1445]) ).
fof(f5479,plain,
spl50_15,
inference(avatar_contradiction_clause,[],[f5478]) ).
fof(f5478,plain,
( $false
| spl50_15 ),
inference(subsumption_resolution,[],[f5477,f555]) ).
fof(f5477,plain,
( ~ rpoint(vd1136)
| spl50_15 ),
inference(resolution,[],[f5471,f836]) ).
fof(f5471,plain,
( ~ rpoint(sK13(vd1136))
| spl50_15 ),
inference(avatar_component_clause,[],[f5469]) ).
fof(f5476,plain,
( ~ spl50_15
| spl50_16 ),
inference(avatar_split_clause,[],[f5467,f5473,f5469]) ).
fof(f5473,plain,
( spl50_16
<=> rreal(vf(vd1136,sK13(vd1136))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_16])]) ).
fof(f5467,plain,
( rreal(vf(vd1136,sK13(vd1136)))
| ~ rpoint(sK13(vd1136)) ),
inference(subsumption_resolution,[],[f5466,f555]) ).
fof(f5466,plain,
( rreal(vf(vd1136,sK13(vd1136)))
| ~ rpoint(sK13(vd1136))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f5307]) ).
fof(f5307,plain,
vf(vd1136,sK13(vd1136)) = sK17(sK13(vd1136),vd1136),
inference(forward_demodulation,[],[f5268,f3401]) ).
fof(f3401,plain,
vf(vd1136,sK13(vd1136)) = vf(sK13(vd1136),vd1136),
inference(resolution,[],[f1790,f555]) ).
fof(f5268,plain,
vf(sK13(vd1136),vd1136) = sK17(sK13(vd1136),vd1136),
inference(resolution,[],[f2005,f555]) ).
fof(f5394,plain,
spl50_13,
inference(avatar_contradiction_clause,[],[f5393]) ).
fof(f5393,plain,
( $false
| spl50_13 ),
inference(subsumption_resolution,[],[f5392,f1444]) ).
fof(f5392,plain,
( ~ rpoint(vd1125)
| spl50_13 ),
inference(resolution,[],[f5386,f836]) ).
fof(f5386,plain,
( ~ rpoint(sK13(vd1125))
| spl50_13 ),
inference(avatar_component_clause,[],[f5384]) ).
fof(f5391,plain,
( ~ spl50_13
| spl50_14 ),
inference(avatar_split_clause,[],[f5321,f5388,f5384]) ).
fof(f5388,plain,
( spl50_14
<=> rreal(vf(vd1136,sK13(vd1125))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_14])]) ).
fof(f5321,plain,
( rreal(vf(vd1136,sK13(vd1125)))
| ~ rpoint(sK13(vd1125)) ),
inference(subsumption_resolution,[],[f5320,f555]) ).
fof(f5320,plain,
( rreal(vf(vd1136,sK13(vd1125)))
| ~ rpoint(sK13(vd1125))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f5306]) ).
fof(f5306,plain,
vf(vd1136,sK13(vd1125)) = sK17(sK13(vd1125),vd1136),
inference(forward_demodulation,[],[f5267,f3400]) ).
fof(f3400,plain,
vf(vd1136,sK13(vd1125)) = vf(sK13(vd1125),vd1136),
inference(resolution,[],[f1790,f1444]) ).
fof(f5267,plain,
vf(sK13(vd1125),vd1136) = sK17(sK13(vd1125),vd1136),
inference(resolution,[],[f2005,f1444]) ).
fof(f5010,plain,
spl50_11,
inference(avatar_contradiction_clause,[],[f5009]) ).
fof(f5009,plain,
( $false
| spl50_11 ),
inference(subsumption_resolution,[],[f5008,f562]) ).
fof(f5008,plain,
( ~ rcircle(vd1139)
| spl50_11 ),
inference(resolution,[],[f5002,f832]) ).
fof(f832,plain,
! [X1] :
( rpoint(sK12(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f597]) ).
fof(f597,plain,
! [X0,X1] :
( rpoint(sK12(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f451]) ).
fof(f451,plain,
! [X0,X1] :
( ( rpoint(sK12(X0))
& ron(sK12(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f243,f450]) ).
fof(f450,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
=> ( rpoint(sK12(X0))
& ron(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X497,X498] :
( ( rcircle(X498)
& X497 = X498 )
=> ? [X499] :
( rpoint(X499)
& ron(X499,X497) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))') ).
fof(f5002,plain,
( ~ rpoint(sK12(vd1139))
| spl50_11 ),
inference(avatar_component_clause,[],[f5000]) ).
fof(f5007,plain,
( ~ spl50_11
| spl50_12 ),
inference(avatar_split_clause,[],[f4998,f5004,f5000]) ).
fof(f5004,plain,
( spl50_12
<=> rreal(vf(vd1136,sK12(vd1139))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_12])]) ).
fof(f4998,plain,
( rreal(vf(vd1136,sK12(vd1139)))
| ~ rpoint(sK12(vd1139)) ),
inference(subsumption_resolution,[],[f4997,f555]) ).
fof(f4997,plain,
( rreal(vf(vd1136,sK12(vd1139)))
| ~ rpoint(sK12(vd1139))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f4996]) ).
fof(f4996,plain,
vf(vd1136,sK12(vd1139)) = sK17(sK12(vd1139),vd1136),
inference(forward_demodulation,[],[f4993,f3396]) ).
fof(f3396,plain,
vf(vd1136,sK12(vd1139)) = vf(sK12(vd1139),vd1136),
inference(resolution,[],[f1789,f562]) ).
fof(f1789,plain,
! [X0] :
( ~ rcircle(X0)
| vf(vd1136,sK12(X0)) = vf(sK12(X0),vd1136) ),
inference(resolution,[],[f1749,f832]) ).
fof(f4993,plain,
vf(sK12(vd1139),vd1136) = sK17(sK12(vd1139),vd1136),
inference(resolution,[],[f2004,f562]) ).
fof(f2004,plain,
! [X0] :
( ~ rcircle(X0)
| vf(sK12(X0),vd1136) = sK17(sK12(X0),vd1136) ),
inference(resolution,[],[f1803,f832]) ).
fof(f4701,plain,
spl50_9,
inference(avatar_contradiction_clause,[],[f4700]) ).
fof(f4700,plain,
( $false
| spl50_9 ),
inference(subsumption_resolution,[],[f4699,f562]) ).
fof(f4699,plain,
( ~ rcircle(vd1139)
| spl50_9 ),
inference(resolution,[],[f4693,f830]) ).
fof(f830,plain,
! [X1] :
( rpoint(sK11(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f595]) ).
fof(f595,plain,
! [X0,X1] :
( rpoint(sK11(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0,X1] :
( ( rpoint(sK11(X0))
& rinside(sK11(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f241,f448]) ).
fof(f448,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
=> ( rpoint(sK11(X0))
& rinside(sK11(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& rinside(X2,X0) ) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X482,X483] :
( ( rcircle(X483)
& X482 = X483 )
=> ? [X484] :
( rpoint(X484)
& rinside(X484,X482) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))') ).
fof(f4693,plain,
( ~ rpoint(sK11(vd1139))
| spl50_9 ),
inference(avatar_component_clause,[],[f4691]) ).
fof(f4698,plain,
( ~ spl50_9
| spl50_10 ),
inference(avatar_split_clause,[],[f4689,f4695,f4691]) ).
fof(f4695,plain,
( spl50_10
<=> rreal(vf(vd1136,sK11(vd1139))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_10])]) ).
fof(f4689,plain,
( rreal(vf(vd1136,sK11(vd1139)))
| ~ rpoint(sK11(vd1139)) ),
inference(subsumption_resolution,[],[f4688,f555]) ).
fof(f4688,plain,
( rreal(vf(vd1136,sK11(vd1139)))
| ~ rpoint(sK11(vd1139))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f4687]) ).
fof(f4687,plain,
vf(vd1136,sK11(vd1139)) = sK17(sK11(vd1139),vd1136),
inference(forward_demodulation,[],[f4684,f3392]) ).
fof(f3392,plain,
vf(vd1136,sK11(vd1139)) = vf(sK11(vd1139),vd1136),
inference(resolution,[],[f1788,f562]) ).
fof(f1788,plain,
! [X0] :
( ~ rcircle(X0)
| vf(vd1136,sK11(X0)) = vf(sK11(X0),vd1136) ),
inference(resolution,[],[f1749,f830]) ).
fof(f4684,plain,
vf(sK11(vd1139),vd1136) = sK17(sK11(vd1139),vd1136),
inference(resolution,[],[f2003,f562]) ).
fof(f2003,plain,
! [X0] :
( ~ rcircle(X0)
| vf(sK11(X0),vd1136) = sK17(sK11(X0),vd1136) ),
inference(resolution,[],[f1803,f830]) ).
fof(f4352,plain,
( ~ spl50_7
| spl50_8 ),
inference(avatar_split_clause,[],[f4303,f4350,f4346]) ).
fof(f4346,plain,
( spl50_7
<=> rline(vd1139) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_7])]) ).
fof(f4350,plain,
( spl50_8
<=> ! [X0] :
( ~ rcircle(X0)
| rintersect(vd1139,X0)
| ~ rinside(vd1136,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_8])]) ).
fof(f4303,plain,
! [X0] :
( ~ rcircle(X0)
| ~ rline(vd1139)
| ~ rinside(vd1136,X0)
| rintersect(vd1139,X0) ),
inference(subsumption_resolution,[],[f4271,f555]) ).
fof(f4271,plain,
! [X0] :
( ~ rpoint(vd1136)
| ~ rcircle(X0)
| ~ rline(vd1139)
| ~ rinside(vd1136,X0)
| rintersect(vd1139,X0) ),
inference(resolution,[],[f1215,f560]) ).
fof(f1215,plain,
! [X3,X1,X5] :
( ~ ron(X1,X5)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| ~ rinside(X1,X3)
| rintersect(X5,X3) ),
inference(equality_resolution,[],[f1214]) ).
fof(f1214,plain,
! [X3,X1,X4,X5] :
( rintersect(X4,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| X4 != X5
| ~ rinside(X1,X3)
| ~ ron(X1,X4) ),
inference(equality_resolution,[],[f1213]) ).
fof(f1213,plain,
! [X2,X3,X1,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X1,X2)
| ~ ron(X1,X4) ),
inference(equality_resolution,[],[f743]) ).
fof(f743,plain,
! [X2,X3,X0,X1,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X0,X2)
| ~ ron(X0,X4) ),
inference(cnf_transformation,[],[f385]) ).
fof(f385,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X0,X2)
| ~ ron(X0,X4) ),
inference(flattening,[],[f384]) ).
fof(f384,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X0,X2)
| ~ ron(X0,X4) ),
inference(ennf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rline(X5)
& X4 = X5
& rinside(X0,X2)
& ron(X0,X4) )
=> rintersect(X4,X2) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X189,X190,X191,X192,X193,X194] :
( ( rpoint(X190)
& X189 = X190
& rcircle(X192)
& X191 = X192
& rline(X194)
& X193 = X194
& rinside(X189,X191)
& ron(X189,X193) )
=> rintersect(X193,X191) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))') ).
fof(f4127,plain,
spl50_5,
inference(avatar_contradiction_clause,[],[f4126]) ).
fof(f4126,plain,
( $false
| spl50_5 ),
inference(subsumption_resolution,[],[f4125,f562]) ).
fof(f4125,plain,
( ~ rcircle(vd1139)
| spl50_5 ),
inference(resolution,[],[f4119,f827]) ).
fof(f827,plain,
! [X1] :
( rpoint(sK10(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f593]) ).
fof(f593,plain,
! [X0,X1] :
( rpoint(sK10(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f447]) ).
fof(f447,plain,
! [X0,X1] :
( ( rpoint(sK10(X0))
& ~ rinside(sK10(X0),X0)
& ~ ron(sK10(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f239,f446]) ).
fof(f446,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
=> ( rpoint(sK10(X0))
& ~ rinside(sK10(X0),X0)
& ~ ron(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X92,X93] :
( ( rcircle(X93)
& X92 = X93 )
=> ? [X94] :
( rpoint(X94)
& ~ rinside(X94,X92)
& ~ ron(X94,X92) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))') ).
fof(f4119,plain,
( ~ rpoint(sK10(vd1139))
| spl50_5 ),
inference(avatar_component_clause,[],[f4117]) ).
fof(f4124,plain,
( ~ spl50_5
| spl50_6 ),
inference(avatar_split_clause,[],[f4115,f4121,f4117]) ).
fof(f4121,plain,
( spl50_6
<=> rreal(vf(vd1136,sK10(vd1139))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_6])]) ).
fof(f4115,plain,
( rreal(vf(vd1136,sK10(vd1139)))
| ~ rpoint(sK10(vd1139)) ),
inference(subsumption_resolution,[],[f4114,f555]) ).
fof(f4114,plain,
( rreal(vf(vd1136,sK10(vd1139)))
| ~ rpoint(sK10(vd1139))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f4113]) ).
fof(f4113,plain,
vf(vd1136,sK10(vd1139)) = sK17(sK10(vd1139),vd1136),
inference(forward_demodulation,[],[f4110,f3388]) ).
fof(f3388,plain,
vf(vd1136,sK10(vd1139)) = vf(sK10(vd1139),vd1136),
inference(resolution,[],[f1787,f562]) ).
fof(f1787,plain,
! [X0] :
( ~ rcircle(X0)
| vf(vd1136,sK10(X0)) = vf(sK10(X0),vd1136) ),
inference(resolution,[],[f1749,f827]) ).
fof(f4110,plain,
vf(sK10(vd1139),vd1136) = sK17(sK10(vd1139),vd1136),
inference(resolution,[],[f2002,f562]) ).
fof(f2002,plain,
! [X0] :
( ~ rcircle(X0)
| vf(sK10(X0),vd1136) = sK17(sK10(X0),vd1136) ),
inference(resolution,[],[f1803,f827]) ).
fof(f3819,plain,
spl50_3,
inference(avatar_contradiction_clause,[],[f3818]) ).
fof(f3818,plain,
( $false
| spl50_3 ),
inference(subsumption_resolution,[],[f3817,f552]) ).
fof(f3817,plain,
( ~ rline(vd1138)
| spl50_3 ),
inference(resolution,[],[f3811,f825]) ).
fof(f825,plain,
! [X1] :
( rpoint(sK9(X1))
| ~ rline(X1) ),
inference(equality_resolution,[],[f590]) ).
fof(f590,plain,
! [X0,X1] :
( rpoint(sK9(X0))
| ~ rline(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f445]) ).
fof(f445,plain,
! [X0,X1] :
( ( rpoint(sK9(X0))
& ron(sK9(X0),X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f237,f444]) ).
fof(f444,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
=> ( rpoint(sK9(X0))
& ron(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( rline(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
! [X590,X591] :
( ( rline(X591)
& X590 = X591 )
=> ? [X592] :
( rpoint(X592)
& ron(X592,X590) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))') ).
fof(f3811,plain,
( ~ rpoint(sK9(vd1138))
| spl50_3 ),
inference(avatar_component_clause,[],[f3809]) ).
fof(f3816,plain,
( ~ spl50_3
| spl50_4 ),
inference(avatar_split_clause,[],[f3807,f3813,f3809]) ).
fof(f3813,plain,
( spl50_4
<=> rreal(vf(vd1136,sK9(vd1138))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_4])]) ).
fof(f3807,plain,
( rreal(vf(vd1136,sK9(vd1138)))
| ~ rpoint(sK9(vd1138)) ),
inference(subsumption_resolution,[],[f3806,f555]) ).
fof(f3806,plain,
( rreal(vf(vd1136,sK9(vd1138)))
| ~ rpoint(sK9(vd1138))
| ~ rpoint(vd1136) ),
inference(superposition,[],[f856,f3805]) ).
fof(f3805,plain,
vf(vd1136,sK9(vd1138)) = sK17(sK9(vd1138),vd1136),
inference(forward_demodulation,[],[f3803,f3385]) ).
fof(f3385,plain,
vf(vd1136,sK9(vd1138)) = vf(sK9(vd1138),vd1136),
inference(resolution,[],[f1786,f552]) ).
fof(f1786,plain,
! [X0] :
( ~ rline(X0)
| vf(vd1136,sK9(X0)) = vf(sK9(X0),vd1136) ),
inference(resolution,[],[f1749,f825]) ).
fof(f3803,plain,
vf(sK9(vd1138),vd1136) = sK17(sK9(vd1138),vd1136),
inference(resolution,[],[f2001,f552]) ).
fof(f2001,plain,
! [X0] :
( ~ rline(X0)
| vf(sK9(X0),vd1136) = sK17(sK9(X0),vd1136) ),
inference(resolution,[],[f1803,f825]) ).
fof(f1625,plain,
( ~ spl50_1
| ~ spl50_2 ),
inference(avatar_split_clause,[],[f1603,f1622,f1618]) ).
fof(f1618,plain,
( spl50_1
<=> rinside(vd1125,vd1138) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).
fof(f1622,plain,
( spl50_2
<=> rcircle(vd1138) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
fof(f1603,plain,
( ~ rcircle(vd1138)
| ~ rinside(vd1125,vd1138) ),
inference(subsumption_resolution,[],[f1589,f1444]) ).
fof(f1589,plain,
( ~ rpoint(vd1125)
| ~ rcircle(vd1138)
| ~ rinside(vd1125,vd1138) ),
inference(resolution,[],[f973,f563]) ).
fof(f973,plain,
! [X3,X1] :
( ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3) ),
inference(equality_resolution,[],[f972]) ).
fof(f972,plain,
! [X2,X3,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X1,X2) ),
inference(equality_resolution,[],[f671]) ).
fof(f671,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(flattening,[],[f310]) ).
fof(f310,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rinside(X0,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X408,X409,X410,X411] :
( ( rpoint(X409)
& X408 = X409
& rcircle(X411)
& X410 = X411
& rinside(X408,X410) )
=> ~ ron(X408,X410) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 05:38:59 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (6007)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (6008)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.34 % (6010)WARNING: value z3 for option sas not known
% 0.10/0.34 % (6012)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.34 % (6011)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (6010)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (6013)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.10/0.34 % (6014)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.10/0.35 % (6009)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.38 Detected minimum model sizes of [3]
% 0.10/0.38 Detected maximum model sizes of [max]
% 0.10/0.38 Cannot represent all propositional literals internally
% 0.10/0.38 % (6008)Refutation not found, incomplete strategy% (6008)------------------------------
% 0.10/0.38 % (6008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.38 % (6008)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.38
% 0.10/0.38 % (6008)Memory used [KB]: 2514
% 0.10/0.38 % (6008)Time elapsed: 0.045 s
% 0.10/0.38 % (6008)Instructions burned: 115 (million)
% 0.10/0.38 % (6008)------------------------------
% 0.10/0.38 % (6008)------------------------------
% 0.16/0.39 Detected minimum model sizes of [3]
% 0.16/0.39 Detected maximum model sizes of [max]
% 0.16/0.39 Cannot represent all propositional literals internally
% 0.16/0.39 % (6011)Refutation not found, incomplete strategy% (6011)------------------------------
% 0.16/0.39 % (6011)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.39 % (6011)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39 % (6011)Memory used [KB]: 2612
% 0.16/0.39 % (6011)Time elapsed: 0.049 s
% 0.16/0.39 % (6011)Instructions burned: 116 (million)
% 0.16/0.39 % (6011)------------------------------
% 0.16/0.39 % (6011)------------------------------
% 0.16/0.40 % (6015)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.16/0.41 % (6016)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.16/0.42 Detected minimum model sizes of [3]
% 0.16/0.42 Detected maximum model sizes of [max]
% 0.16/0.42 Cannot represent all propositional literals internally
% 0.16/0.42 % (6015)Refutation not found, incomplete strategy% (6015)------------------------------
% 0.16/0.42 % (6015)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.42 % (6015)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.42
% 0.16/0.42 % (6015)Memory used [KB]: 2148
% 0.16/0.42 % (6015)Time elapsed: 0.027 s
% 0.16/0.42 % (6015)Instructions burned: 61 (million)
% 0.16/0.42 % (6015)------------------------------
% 0.16/0.42 % (6015)------------------------------
% 0.16/0.44 % (6017)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 7.94/1.47 Detected minimum model sizes of [3]
% 7.94/1.47 Detected maximum model sizes of [max]
% 7.94/1.47 Cannot represent all propositional literals internally
% 7.94/1.47 % (6009)Refutation not found, incomplete strategy% (6009)------------------------------
% 7.94/1.47 % (6009)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.94/1.47 % (6009)Termination reason: Refutation not found, incomplete strategy
% 7.94/1.47
% 7.94/1.47 % (6009)Memory used [KB]: 9842
% 7.94/1.47 % (6009)Time elapsed: 1.125 s
% 7.94/1.47 % (6009)Instructions burned: 2824 (million)
% 7.94/1.47 % (6009)------------------------------
% 7.94/1.47 % (6009)------------------------------
% 7.94/1.49 % (6022)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 44.65/6.77 % (6010)First to succeed.
% 44.65/6.78 % (6010)Refutation found. Thanks to Tanya!
% 44.65/6.78 % SZS status Theorem for theBenchmark
% 44.65/6.78 % SZS output start Proof for theBenchmark
% See solution above
% 44.65/6.79 % (6010)------------------------------
% 44.65/6.79 % (6010)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 44.65/6.79 % (6010)Termination reason: Refutation
% 44.65/6.79
% 44.65/6.79 % (6010)Memory used [KB]: 27786
% 44.65/6.79 % (6010)Time elapsed: 6.427 s
% 44.65/6.79 % (6010)Instructions burned: 18077 (million)
% 44.65/6.79 % (6010)------------------------------
% 44.65/6.79 % (6010)------------------------------
% 44.65/6.79 % (6007)Success in time 6.445 s
%------------------------------------------------------------------------------