%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO285+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:20 AM UTC 2026
% Result : Theorem 0.72s 1.01s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 136 ( 33 unt; 8 def)
% Number of atoms : 443 ( 94 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 571 ( 264 ~; 255 |; 36 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn 129 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ rinside(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(260))') ).
fof(f2,negated_conjecture,
~ ~ rinside(vd1125,vd1152),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1127,vd1152)
& rcenter(vd1123,vd1152)
& rcircle(vd1152)
& ron(vd1125,vd1151)
& ron(vd1123,vd1151) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))') ).
fof(f5,axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(258, 1150, 0)') ).
fof(f15,axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
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(f19,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& rcenter(X2,X3)
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f38,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f39,axiom,
! [X0,X1] :
( ( X0 = X1
& rreal(X1) )
=> ~ rless(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f40,axiom,
! [X0,X1,X2,X3] :
( ( rless(X0,X2)
& X2 = X3
& rreal(X3)
& X0 = X1
& rreal(X1) )
=> ( ~ rless(X2,X0)
| X0 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof(f125,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f135,plain,
rinside(vd1125,vd1152),
inference(flattening,[],[f2]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f154]) ).
fof(f192,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f193,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| X0 != X1
| ~ rreal(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f195,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| X0 != X1
| ~ rreal(X1) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( ~ rless(X2,X0)
| X0 = X2
| ~ rless(X0,X2)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( ~ rless(X2,X0)
| X0 = X2
| ~ rless(X0,X2)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(flattening,[],[f196]) ).
fof(f357,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f125]) ).
fof(f358,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f357]) ).
fof(f378,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)) ) )
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(nnf_transformation,[],[f155]) ).
fof(f383,plain,
! [X0,X1] :
( ? [X2] :
( vf(X0,X1) = X2
& rreal(X2) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f193]) ).
fof(f384,plain,
! [X0,X1] :
( ( vf(X0,X1) = sK8(X0,X1)
& rreal(sK8(X0,X1)) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f383]) ).
fof(f445,plain,
rinside(vd1125,vd1152),
inference(cnf_transformation,[],[f135]) ).
fof(f449,plain,
rcenter(vd1123,vd1152),
inference(cnf_transformation,[],[f3]) ).
fof(f450,plain,
ron(vd1127,vd1152),
inference(cnf_transformation,[],[f3]) ).
fof(f452,plain,
vd1123 = vd1129,
inference(cnf_transformation,[],[f5]) ).
fof(f466,plain,
rpoint(vd1124),
inference(cnf_transformation,[],[f15]) ).
fof(f467,plain,
vd1123 = vd1124,
inference(cnf_transformation,[],[f15]) ).
fof(f468,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f15]) ).
fof(f469,plain,
vd1125 = vd1126,
inference(cnf_transformation,[],[f15]) ).
fof(f470,plain,
rpoint(vd1128),
inference(cnf_transformation,[],[f15]) ).
fof(f471,plain,
vd1127 = vd1128,
inference(cnf_transformation,[],[f15]) ).
fof(f476,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(cnf_transformation,[],[f15]) ).
fof(f488,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3)
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f378]) ).
fof(f522,plain,
! [X3,X0,X1,X4] :
( rreal(sK8(X0,X1))
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f384]) ).
fof(f523,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK8(X0,X1)
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f384]) ).
fof(f524,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| X0 != X1
| ~ rreal(X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f525,plain,
! [X2,X3,X0,X1] :
( ~ rless(X2,X0)
| X0 = X2
| ~ rless(X0,X2)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f712,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f358]) ).
fof(f735,plain,
! [X2,X3,X0,X4,X5] :
( rless(vf(X2,X0),vf(X2,X4))
| ~ rinside(X0,X3)
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f488]) ).
fof(f736,plain,
! [X2,X3,X4,X5] :
( rless(vf(X2,X5),vf(X2,X4))
| ~ rinside(X5,X3)
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f735]) ).
fof(f785,plain,
! [X3,X0,X4] :
( vf(X0,X3) = sK8(X0,X3)
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f523]) ).
fof(f786,plain,
! [X3,X4] :
( vf(X4,X3) = sK8(X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f785]) ).
fof(f787,plain,
! [X3,X0,X4] :
( rreal(sK8(X0,X3))
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f522]) ).
fof(f788,plain,
! [X3,X4] :
( rreal(sK8(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f787]) ).
fof(f789,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f524]) ).
fof(f790,plain,
! [X3,X0,X1] :
( ~ rless(X3,X0)
| X0 = X3
| ~ rless(X0,X3)
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(equality_resolution,[],[f525]) ).
fof(f791,plain,
! [X3,X1] :
( ~ rless(X3,X1)
| X1 = X3
| ~ rless(X1,X3)
| ~ rreal(X3)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f790]) ).
fof(f1366,plain,
! [X2,X3,X0] :
( vf(X2,X0) = vf(X0,X2)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f712]) ).
fof(f1367,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1366]) ).
fof(f1464,definition,
( spl46_14
<=> vd1123 = vd1129 ),
introduced(definition,[new_symbols(definition,[spl46_14])],[avatar_definition]) ).
fof(f1466,plain,
( vd1123 = vd1129
| ~ spl46_14 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1612,plain,
spl46_14,
inference(avatar_split_clause,[],[f452,f1464]) ).
fof(f1617,plain,
rpoint(vd1123),
inference(superposition,[],[f466,f467]) ).
fof(f1618,plain,
rpoint(vd1125),
inference(superposition,[],[f468,f469]) ).
fof(f1619,plain,
rpoint(vd1127),
inference(superposition,[],[f470,f471]) ).
fof(f1626,plain,
( rless(vf(vd1127,vd1123),vf(vd1123,vd1125))
| ~ spl46_14 ),
inference(forward_demodulation,[],[f476,f1466]) ).
fof(f1666,plain,
! [X0,X1] :
( rreal(vf(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(superposition,[],[f788,f786]) ).
fof(f1667,plain,
! [X0,X1] :
( rreal(vf(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f1666]) ).
fof(f1680,plain,
( rless(vf(vd1123,vd1127),vf(vd1123,vd1125))
| ~ rpoint(vd1127)
| ~ rpoint(vd1123)
| ~ spl46_14 ),
inference(superposition,[],[f1626,f1367]) ).
fof(f1696,plain,
( rless(vf(vd1123,vd1127),vf(vd1123,vd1125))
| ~ rpoint(vd1123)
| ~ spl46_14 ),
inference(forward_subsumption_resolution,[],[f1680,f1619]) ).
fof(f1698,plain,
( rless(vf(vd1123,vd1127),vf(vd1123,vd1125))
| ~ spl46_14 ),
inference(forward_subsumption_resolution,[],[f1696,f1617]) ).
fof(f1749,definition,
( spl46_44
<=> rreal(vf(vd1123,vd1125)) ),
introduced(definition,[new_symbols(definition,[spl46_44])],[avatar_definition]) ).
fof(f1750,plain,
( rreal(vf(vd1123,vd1125))
| ~ spl46_44 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1751,plain,
( ~ rreal(vf(vd1123,vd1125))
| spl46_44 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1753,definition,
( spl46_45
<=> rreal(vf(vd1123,vd1127)) ),
introduced(definition,[new_symbols(definition,[spl46_45])],[avatar_definition]) ).
fof(f1754,plain,
( rreal(vf(vd1123,vd1127))
| ~ spl46_45 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1755,plain,
( ~ rreal(vf(vd1123,vd1127))
| spl46_45 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1757,definition,
( spl46_46
<=> rless(vf(vd1123,vd1125),vf(vd1123,vd1127)) ),
introduced(definition,[new_symbols(definition,[spl46_46])],[avatar_definition]) ).
fof(f1758,plain,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1127))
| ~ spl46_46 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1759,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1127))
| spl46_46 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1761,definition,
( spl46_47
<=> vf(vd1123,vd1125) = vf(vd1123,vd1127) ),
introduced(definition,[new_symbols(definition,[spl46_47])],[avatar_definition]) ).
fof(f1763,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ spl46_47 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f1766,definition,
( spl46_48
<=> rreal(vf(vd1127,vd1123)) ),
introduced(definition,[new_symbols(definition,[spl46_48])],[avatar_definition]) ).
fof(f1767,plain,
( rreal(vf(vd1127,vd1123))
| ~ spl46_48 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1768,plain,
( ~ rreal(vf(vd1127,vd1123))
| spl46_48 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1770,definition,
( spl46_49
<=> rless(vf(vd1123,vd1125),vf(vd1127,vd1123)) ),
introduced(definition,[new_symbols(definition,[spl46_49])],[avatar_definition]) ).
fof(f1771,plain,
( rless(vf(vd1123,vd1125),vf(vd1127,vd1123))
| ~ spl46_49 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f1772,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1127,vd1123))
| spl46_49 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f1774,definition,
( spl46_50
<=> vf(vd1123,vd1125) = vf(vd1127,vd1123) ),
introduced(definition,[new_symbols(definition,[spl46_50])],[avatar_definition]) ).
fof(f1776,plain,
( vf(vd1123,vd1125) = vf(vd1127,vd1123)
| ~ spl46_50 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f1778,plain,
( ~ rpoint(vd1125)
| ~ rpoint(vd1123)
| spl46_44 ),
inference(resolution,[],[f1751,f1667]) ).
fof(f1779,plain,
( ~ rpoint(vd1123)
| spl46_44 ),
inference(forward_subsumption_resolution,[],[f1778,f1618]) ).
fof(f1780,plain,
( $false
| spl46_44 ),
inference(forward_subsumption_resolution,[],[f1779,f1617]) ).
fof(f1781,plain,
spl46_44,
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1790,plain,
( ~ rpoint(vd1127)
| ~ rpoint(vd1123)
| spl46_45 ),
inference(resolution,[],[f1755,f1667]) ).
fof(f1791,plain,
( ~ rpoint(vd1123)
| spl46_45 ),
inference(forward_subsumption_resolution,[],[f1790,f1619]) ).
fof(f1792,plain,
( $false
| spl46_45 ),
inference(forward_subsumption_resolution,[],[f1791,f1617]) ).
fof(f1793,plain,
spl46_45,
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1800,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1127))
| ~ rpoint(vd1123)
| ~ rpoint(vd1127)
| spl46_49 ),
inference(superposition,[],[f1772,f1367]) ).
fof(f1801,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1127))
| ~ rpoint(vd1127)
| spl46_49 ),
inference(forward_subsumption_resolution,[],[f1800,f1617]) ).
fof(f1803,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1127))
| spl46_49 ),
inference(forward_subsumption_resolution,[],[f1801,f1619]) ).
fof(f1805,plain,
( ~ spl46_46
| spl46_49 ),
inference(avatar_split_clause,[],[f1803,f1770,f1757]) ).
fof(f1806,plain,
( ! [X0] :
( ~ rinside(vd1125,X0)
| ~ ron(vd1127,X0)
| ~ rcenter(vd1123,X0)
| ~ rpoint(vd1127)
| ~ rpoint(vd1125) )
| spl46_46 ),
inference(resolution,[],[f1759,f736]) ).
fof(f1808,plain,
( ! [X0] :
( ~ rinside(vd1125,X0)
| ~ ron(vd1127,X0)
| ~ rcenter(vd1123,X0)
| ~ rpoint(vd1125) )
| spl46_46 ),
inference(forward_subsumption_resolution,[],[f1806,f1619]) ).
fof(f1809,plain,
( ! [X0] :
( ~ rcenter(vd1123,X0)
| ~ ron(vd1127,X0)
| ~ rinside(vd1125,X0) )
| spl46_46 ),
inference(forward_subsumption_resolution,[],[f1808,f1618]) ).
fof(f1816,plain,
( ~ ron(vd1127,vd1152)
| ~ rinside(vd1125,vd1152)
| spl46_46 ),
inference(resolution,[],[f1809,f449]) ).
fof(f1819,plain,
( ~ rinside(vd1125,vd1152)
| spl46_46 ),
inference(forward_subsumption_resolution,[],[f1816,f450]) ).
fof(f1820,plain,
( $false
| spl46_46 ),
inference(forward_subsumption_resolution,[],[f1819,f445]) ).
fof(f1821,plain,
spl46_46,
inference(avatar_contradiction_clause,[],[f1820]) ).
fof(f1823,plain,
( ~ rreal(vf(vd1123,vd1127))
| ~ rpoint(vd1127)
| ~ rpoint(vd1123)
| spl46_48 ),
inference(superposition,[],[f1768,f1367]) ).
fof(f1826,plain,
( ~ rpoint(vd1127)
| ~ rpoint(vd1123)
| spl46_48 ),
inference(forward_subsumption_resolution,[],[f1823,f1667]) ).
fof(f1829,plain,
( ~ rpoint(vd1123)
| spl46_48 ),
inference(forward_subsumption_resolution,[],[f1826,f1619]) ).
fof(f1834,plain,
( $false
| spl46_48 ),
inference(forward_subsumption_resolution,[],[f1829,f1617]) ).
fof(f1835,plain,
spl46_48,
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1844,plain,
( vf(vd1123,vd1125) = vf(vd1127,vd1123)
| ~ rless(vf(vd1127,vd1123),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1127,vd1123))
| ~ spl46_49 ),
inference(resolution,[],[f1771,f791]) ).
fof(f1849,plain,
( vf(vd1123,vd1125) = vf(vd1127,vd1123)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1127,vd1123))
| ~ spl46_14
| ~ spl46_49 ),
inference(forward_subsumption_resolution,[],[f1844,f1626]) ).
fof(f1852,plain,
( vf(vd1123,vd1125) = vf(vd1127,vd1123)
| ~ rreal(vf(vd1127,vd1123))
| ~ spl46_14
| ~ spl46_44
| ~ spl46_49 ),
inference(forward_subsumption_resolution,[],[f1849,f1750]) ).
fof(f1854,plain,
( vf(vd1123,vd1125) = vf(vd1127,vd1123)
| ~ spl46_14
| ~ spl46_44
| ~ spl46_48
| ~ spl46_49 ),
inference(forward_subsumption_resolution,[],[f1852,f1767]) ).
fof(f1855,plain,
( spl46_50
| ~ spl46_14
| ~ spl46_44
| ~ spl46_48
| ~ spl46_49 ),
inference(avatar_split_clause,[],[f1854,f1770,f1766,f1749,f1464,f1774]) ).
fof(f1858,plain,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1125))
| ~ spl46_49
| ~ spl46_50 ),
inference(superposition,[],[f1771,f1776]) ).
fof(f1886,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ rless(vf(vd1123,vd1127),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1127))
| ~ spl46_46 ),
inference(resolution,[],[f1758,f791]) ).
fof(f1887,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1127))
| ~ spl46_14
| ~ spl46_46 ),
inference(forward_subsumption_resolution,[],[f1886,f1698]) ).
fof(f1889,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ rreal(vf(vd1123,vd1127))
| ~ spl46_14
| ~ spl46_44
| ~ spl46_46 ),
inference(forward_subsumption_resolution,[],[f1887,f1750]) ).
fof(f1891,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ spl46_14
| ~ spl46_44
| ~ spl46_45
| ~ spl46_46 ),
inference(forward_subsumption_resolution,[],[f1889,f1754]) ).
fof(f1892,plain,
( spl46_47
| ~ spl46_14
| ~ spl46_44
| ~ spl46_45
| ~ spl46_46 ),
inference(avatar_split_clause,[],[f1891,f1757,f1753,f1749,f1464,f1761]) ).
fof(f1939,plain,
( rless(vf(vd1123,vd1127),vf(vd1123,vd1127))
| ~ spl46_47
| ~ spl46_49
| ~ spl46_50 ),
inference(forward_demodulation,[],[f1858,f1763]) ).
fof(f1950,plain,
( ~ rreal(vf(vd1123,vd1127))
| ~ spl46_47
| ~ spl46_49
| ~ spl46_50 ),
inference(resolution,[],[f1939,f789]) ).
fof(f1957,plain,
( $false
| ~ spl46_45
| ~ spl46_47
| ~ spl46_49
| ~ spl46_50 ),
inference(forward_subsumption_resolution,[],[f1950,f1754]) ).
fof(f1958,plain,
( ~ spl46_45
| ~ spl46_47
| ~ spl46_49
| ~ spl46_50 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
cnf(s43,plain,
spl46_14,
inference(sat_conversion,[],[f1612]) ).
cnf(s48,plain,
spl46_44,
inference(sat_conversion,[],[f1781]) ).
cnf(s49,plain,
spl46_45,
inference(sat_conversion,[],[f1793]) ).
cnf(s50,plain,
( ~ spl46_46
| spl46_49 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s52,plain,
spl46_46,
inference(sat_conversion,[],[f1821]) ).
cnf(s55,plain,
spl46_48,
inference(sat_conversion,[],[f1835]) ).
cnf(s58,plain,
( ~ spl46_14
| ~ spl46_44
| ~ spl46_48
| ~ spl46_49
| spl46_50 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s63,plain,
( ~ spl46_14
| ~ spl46_44
| ~ spl46_45
| ~ spl46_46
| spl46_47 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s64,plain,
( ~ spl46_45
| ~ spl46_47
| ~ spl46_49
| ~ spl46_50 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s65,plain,
spl46_49,
inference(rat,[],[s50,s52]) ).
cnf(s68,plain,
spl46_47,
inference(rat,[],[s63,s48,s52,s49,s43]) ).
cnf(s69,plain,
spl46_50,
inference(rat,[],[s58,s48,s65,s55,s43]) ).
cnf(s70,plain,
$false,
inference(rat,[],[s64,s49,s65,s69,s68]) ).
fof(f1960,plain,
$false,
inference(avatar_sat_refutation,[],[s70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO285+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 07:59:05 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/1.01 % (2048780)Detected formulas, will run a generic FOF schedule.
% 0.72/1.01 % (2048805)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=5030944:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.72/1.01 % (2048810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=901511167:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.72/1.01 % (2048809)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3266345668:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.72/1.01 % (2048811)dis-21_1_sil=8000:lcm=predicate:random_seed=2851032124:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.72/1.01 % (2048808)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2973433629:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.72/1.01 % (2048807)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3212216944:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.72/1.01 % (2048806)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=955813156:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.72/1.01 % (2048808)Refutation not found, incomplete strategy
% 0.72/1.01 % (2048808)------------------------------
% 0.72/1.01 % (2048808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/1.01 % (2048808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/1.01 % (2048808)CaDiCaL version: 2.1.3
% 0.72/1.01 % (2048808)Termination reason: Refutation not found, incomplete strategy
% 0.72/1.01 % (2048808)Time elapsed: 0.001 s
% 0.72/1.01 % (2048808)Peak memory usage: 88 MB
% 0.72/1.01 % (2048808)Instructions burned: 1 (million)
% 0.72/1.01 % (2048810)First to succeed.
% 0.72/1.01 % (2048810)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2048780"
% 0.72/1.01 % (2048809)Instruction limit reached!
% 0.72/1.01 % (2048809)------------------------------
% 0.72/1.01 % (2048809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/1.01 % (2048809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/1.01 % (2048809)CaDiCaL version: 2.1.3
% 0.72/1.01 % (2048809)Termination reason: Instruction limit
% 0.72/1.01 % (2048809)Termination phase: Saturation
% 0.72/1.01 % (2048809)Time elapsed: 0.057 s
% 0.72/1.01 % (2048809)Peak memory usage: 89 MB
% 0.72/1.01 % (2048809)Instructions burned: 120 (million)
% 0.72/1.01 % (2048811)Instruction limit reached!
% 0.72/1.01 % (2048811)------------------------------
% 0.72/1.01 % (2048811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/1.01 % (2048811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/1.01 % (2048811)CaDiCaL version: 2.1.3
% 0.72/1.01 % (2048811)Termination reason: Instruction limit
% 0.72/1.01 % (2048811)Termination phase: Saturation
% 0.72/1.01 % (2048811)Time elapsed: 0.062 s
% 0.72/1.01 % (2048811)Peak memory usage: 91 MB
% 0.72/1.01 % (2048811)Instructions burned: 130 (million)
% 0.72/1.01 % (2048822)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4122434104:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.72/1.01 % (2048822)Refutation not found, incomplete strategy
% 0.72/1.01 % (2048822)------------------------------
% 0.72/1.01 % (2048822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.72/1.01 % (2048822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/1.01 % (2048822)CaDiCaL version: 2.1.3
% 0.72/1.01 % (2048822)Termination reason: Refutation not found, incomplete strategy
% 0.72/1.01 % (2048822)Time elapsed: 0.002 s
% 0.72/1.01 % (2048822)Peak memory usage: 88 MB
% 0.72/1.01 % (2048822)Instructions burned: 3 (million)
% 0.72/1.01 % (2048821)lrs+10_1_sil=8000:sp=occurrence:random_seed=1857411345:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.72/1.01 % (2048808)------------------------------
% 0.72/1.01 % (2048808)------------------------------
% 0.72/1.01 % (2048810)Refutation found. Thanks to Tanya!
% 0.72/1.01 % SZS status Theorem for theBenchmark
% 0.72/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 3.19/1.14 % (2048810)------------------------------
% 3.19/1.14 % (2048810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.14 % (2048810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.14 % (2048810)CaDiCaL version: 2.1.3
% 3.19/1.14 % (2048810)Termination reason: Refutation
% 3.19/1.14 % (2048810)Time elapsed: 0.027 s
% 3.19/1.14 % (2048810)Peak memory usage: 91 MB
% 3.19/1.14 % (2048810)Instructions burned: 46 (million)
% 3.19/1.14 % (2048810)------------------------------
% 3.19/1.14 % (2048810)------------------------------
% 3.19/1.14 % (2048780)Success in time 0.402 s
% 3.19/1.14 % Vampire exiting
%------------------------------------------------------------------------------