%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO280+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 : n010.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 2.74s 1.28s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 95 ( 32 unt; 3 def)
% Number of atoms : 306 ( 72 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 391 ( 180 ~; 168 |; 33 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 110 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(247))') ).
fof(f2,negated_conjecture,
~ ~ rinside(vd1125,vd1139),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1136,vd1139)
& rcenter(vd1123,vd1139)
& rcircle(vd1139)
& ron(vd1125,vd1138)
& ron(vd1123,vd1138) ),
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(f5,axiom,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(245, 1137, 0)') ).
fof(f6,axiom,
rpoint(vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(245, 0)') ).
fof(f7,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(f25,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(f30,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(f33,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(f34,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(f117,plain,
rinside(vd1125,vd1139),
inference(flattening,[],[f2]) ).
fof(f151,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f152,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f151]) ).
fof(f161,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,[],[f30]) ).
fof(f162,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,[],[f161]) ).
fof(f167,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| X0 != X1
| ~ rreal(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f168,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| X0 != X1
| ~ rreal(X1) ),
inference(flattening,[],[f167]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ rless(X2,X0)
| X0 = X2
| ~ rless(X0,X2)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ rless(X2,X0)
| X0 = X2
| ~ rless(X0,X2)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(flattening,[],[f169]) ).
fof(f335,plain,
! [X0,X1] :
( ? [X2] :
( vf(X0,X1) = X2
& rreal(X2) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f152]) ).
fof(f336,plain,
! [X0,X1] :
( ( vf(X0,X1) = sK6(X0,X1)
& rreal(sK6(X0,X1)) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f335]) ).
fof(f342,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,[],[f162]) ).
fof(f394,plain,
rinside(vd1125,vd1139),
inference(cnf_transformation,[],[f117]) ).
fof(f398,plain,
rcenter(vd1123,vd1139),
inference(cnf_transformation,[],[f3]) ).
fof(f399,plain,
ron(vd1136,vd1139),
inference(cnf_transformation,[],[f3]) ).
fof(f401,plain,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
inference(cnf_transformation,[],[f5]) ).
fof(f402,plain,
rpoint(vd1136),
inference(cnf_transformation,[],[f6]) ).
fof(f403,plain,
rpoint(vd1124),
inference(cnf_transformation,[],[f7]) ).
fof(f404,plain,
vd1123 = vd1124,
inference(cnf_transformation,[],[f7]) ).
fof(f405,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f7]) ).
fof(f406,plain,
vd1125 = vd1126,
inference(cnf_transformation,[],[f7]) ).
fof(f407,plain,
rpoint(vd1128),
inference(cnf_transformation,[],[f7]) ).
fof(f408,plain,
vd1127 = vd1128,
inference(cnf_transformation,[],[f7]) ).
fof(f409,plain,
rpoint(vd1130),
inference(cnf_transformation,[],[f7]) ).
fof(f410,plain,
vd1129 = vd1130,
inference(cnf_transformation,[],[f7]) ).
fof(f413,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(cnf_transformation,[],[f7]) ).
fof(f446,plain,
! [X3,X0,X1,X4] :
( rreal(sK6(X0,X1))
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f336]) ).
fof(f447,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK6(X0,X1)
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f336]) ).
fof(f470,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,[],[f342]) ).
fof(f473,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| X0 != X1
| ~ rreal(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f474,plain,
! [X2,X3,X0,X1] :
( ~ rless(X2,X0)
| X0 = X2
| ~ rless(X0,X2)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f733,plain,
! [X3,X0,X4] :
( vf(X0,X3) = sK6(X0,X3)
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f447]) ).
fof(f734,plain,
! [X3,X4] :
( vf(X4,X3) = sK6(X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f733]) ).
fof(f735,plain,
! [X3,X0,X4] :
( rreal(sK6(X0,X3))
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f446]) ).
fof(f736,plain,
! [X3,X4] :
( rreal(sK6(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f735]) ).
fof(f780,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,[],[f470]) ).
fof(f781,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,[],[f780]) ).
fof(f790,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f473]) ).
fof(f791,plain,
! [X3,X0,X1] :
( ~ rless(X3,X0)
| X0 = X3
| ~ rless(X0,X3)
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(equality_resolution,[],[f474]) ).
fof(f792,plain,
! [X3,X1] :
( ~ rless(X3,X1)
| X1 = X3
| ~ rless(X1,X3)
| ~ rreal(X3)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f791]) ).
fof(f1386,plain,
rpoint(vd1123),
inference(superposition,[],[f403,f404]) ).
fof(f1387,plain,
rpoint(vd1125),
inference(superposition,[],[f405,f406]) ).
fof(f1388,plain,
rpoint(vd1127),
inference(superposition,[],[f407,f408]) ).
fof(f1389,plain,
rpoint(vd1129),
inference(superposition,[],[f409,f410]) ).
fof(f1398,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(superposition,[],[f413,f401]) ).
fof(f1445,plain,
! [X0,X1] :
( rreal(vf(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(superposition,[],[f736,f734]) ).
fof(f1446,plain,
! [X0,X1] :
( rreal(vf(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f1445]) ).
fof(f1447,plain,
( rreal(vf(vd1123,vd1136))
| ~ rpoint(vd1129)
| ~ rpoint(vd1127) ),
inference(superposition,[],[f1446,f401]) ).
fof(f1450,plain,
( rreal(vf(vd1123,vd1136))
| ~ rpoint(vd1127) ),
inference(forward_subsumption_resolution,[],[f1447,f1389]) ).
fof(f1451,plain,
rreal(vf(vd1123,vd1136)),
inference(forward_subsumption_resolution,[],[f1450,f1388]) ).
fof(f1533,definition,
( spl46_13
<=> rreal(vf(vd1123,vd1125)) ),
introduced(definition,[new_symbols(definition,[spl46_13])],[avatar_definition]) ).
fof(f1534,plain,
( rreal(vf(vd1123,vd1125))
| ~ spl46_13 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f1535,plain,
( ~ rreal(vf(vd1123,vd1125))
| spl46_13 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f1537,definition,
( spl46_14
<=> rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
introduced(definition,[new_symbols(definition,[spl46_14])],[avatar_definition]) ).
fof(f1538,plain,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1136))
| ~ spl46_14 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1539,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136))
| spl46_14 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1541,definition,
( spl46_15
<=> vf(vd1123,vd1136) = vf(vd1123,vd1125) ),
introduced(definition,[new_symbols(definition,[spl46_15])],[avatar_definition]) ).
fof(f1543,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ spl46_15 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1549,plain,
( ~ rpoint(vd1125)
| ~ rpoint(vd1123)
| spl46_13 ),
inference(resolution,[],[f1535,f1446]) ).
fof(f1550,plain,
( ~ rpoint(vd1123)
| spl46_13 ),
inference(forward_subsumption_resolution,[],[f1549,f1387]) ).
fof(f1551,plain,
( $false
| spl46_13 ),
inference(forward_subsumption_resolution,[],[f1550,f1386]) ).
fof(f1552,plain,
spl46_13,
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f1561,plain,
( ! [X0] :
( ~ rinside(vd1125,X0)
| ~ ron(vd1136,X0)
| ~ rcenter(vd1123,X0)
| ~ rpoint(vd1136)
| ~ rpoint(vd1125) )
| spl46_14 ),
inference(resolution,[],[f1539,f781]) ).
fof(f1563,plain,
( ! [X0] :
( ~ rinside(vd1125,X0)
| ~ ron(vd1136,X0)
| ~ rcenter(vd1123,X0)
| ~ rpoint(vd1125) )
| spl46_14 ),
inference(forward_subsumption_resolution,[],[f1561,f402]) ).
fof(f1564,plain,
( ! [X0] :
( ~ rcenter(vd1123,X0)
| ~ ron(vd1136,X0)
| ~ rinside(vd1125,X0) )
| spl46_14 ),
inference(forward_subsumption_resolution,[],[f1563,f1387]) ).
fof(f1569,plain,
( ~ ron(vd1136,vd1139)
| ~ rinside(vd1125,vd1139)
| spl46_14 ),
inference(resolution,[],[f1564,f398]) ).
fof(f1572,plain,
( ~ rinside(vd1125,vd1139)
| spl46_14 ),
inference(forward_subsumption_resolution,[],[f1569,f399]) ).
fof(f1573,plain,
( $false
| spl46_14 ),
inference(forward_subsumption_resolution,[],[f1572,f394]) ).
fof(f1574,plain,
spl46_14,
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1578,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ rless(vf(vd1123,vd1136),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1136))
| ~ spl46_14 ),
inference(resolution,[],[f1538,f792]) ).
fof(f1579,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1136))
| ~ spl46_14 ),
inference(forward_subsumption_resolution,[],[f1578,f1398]) ).
fof(f1581,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1136))
| ~ spl46_13
| ~ spl46_14 ),
inference(forward_subsumption_resolution,[],[f1579,f1534]) ).
fof(f1583,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ spl46_13
| ~ spl46_14 ),
inference(forward_subsumption_resolution,[],[f1581,f1451]) ).
fof(f1584,plain,
( spl46_15
| ~ spl46_13
| ~ spl46_14 ),
inference(avatar_split_clause,[],[f1583,f1537,f1533,f1541]) ).
fof(f1587,plain,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1125))
| ~ spl46_14
| ~ spl46_15 ),
inference(superposition,[],[f1538,f1543]) ).
fof(f1615,plain,
( ~ rreal(vf(vd1123,vd1125))
| ~ spl46_14
| ~ spl46_15 ),
inference(resolution,[],[f1587,f790]) ).
fof(f1619,plain,
( $false
| ~ spl46_13
| ~ spl46_14
| ~ spl46_15 ),
inference(forward_subsumption_resolution,[],[f1615,f1534]) ).
fof(f1620,plain,
( ~ spl46_13
| ~ spl46_14
| ~ spl46_15 ),
inference(avatar_contradiction_clause,[],[f1619]) ).
cnf(s18,plain,
spl46_13,
inference(sat_conversion,[],[f1552]) ).
cnf(s19,plain,
spl46_14,
inference(sat_conversion,[],[f1574]) ).
cnf(s20,plain,
( ~ spl46_13
| ~ spl46_14
| spl46_15 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s23,plain,
( ~ spl46_13
| ~ spl46_14
| ~ spl46_15 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s24,plain,
~ spl46_15,
inference(rat,[],[s23,s19,s18]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s20,s19,s24,s18]) ).
fof(f1622,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO280+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 07:59:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.74/1.28 % (620971)Detected formulas, will run a generic FOF schedule.
% 2.74/1.28 % (620982)dis-21_1_sil=8000:lcm=predicate:random_seed=3815513100: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)
% 2.74/1.28 % (620981)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=662620506:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.74/1.28 % (620980)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3055157378:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.74/1.28 % (620976)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=2515209539:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.74/1.28 % (620979)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=341864076:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.74/1.28 % (620977)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=2891325200:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.74/1.28 % (620978)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=2364731547:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.74/1.28 % (620979)Refutation not found, incomplete strategy
% 2.74/1.28 % (620979)------------------------------
% 2.74/1.28 % (620979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (620979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (620979)CaDiCaL version: 2.1.3
% 2.74/1.28 % (620979)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.28 % (620979)Time elapsed: 0.002 s
% 2.74/1.28 % (620979)Peak memory usage: 88 MB
% 2.74/1.28 % (620979)Instructions burned: 1 (million)
% 2.74/1.28 % (620982)Instruction limit reached!
% 2.74/1.28 % (620982)------------------------------
% 2.74/1.28 % (620982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (620982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (620982)CaDiCaL version: 2.1.3
% 2.74/1.28 % (620982)Termination reason: Instruction limit
% 2.74/1.28 % (620982)Termination phase: Saturation
% 2.74/1.28 % (620982)Time elapsed: 0.040 s
% 2.74/1.28 % (620982)Peak memory usage: 91 MB
% 2.74/1.28 % (620982)Instructions burned: 132 (million)
% 2.74/1.28 % (620981)First to succeed.
% 2.74/1.28 % (620981)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-620971"
% 2.74/1.28 % (620980)Instruction limit reached!
% 2.74/1.28 % (620980)------------------------------
% 2.74/1.28 % (620980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (620980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (620980)CaDiCaL version: 2.1.3
% 2.74/1.28 % (620980)Termination reason: Instruction limit
% 2.74/1.28 % (620980)Termination phase: Saturation
% 2.74/1.28 % (620980)Time elapsed: 0.066 s
% 2.74/1.28 % (620980)Peak memory usage: 89 MB
% 2.74/1.28 % (620980)Instructions burned: 120 (million)
% 2.74/1.28 % (620990)lrs+10_1_sil=8000:sp=occurrence:random_seed=1147718587:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.74/1.28 % (620990)Instruction limit reached!
% 2.74/1.28 % (620990)------------------------------
% 2.74/1.28 % (620990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (620990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (620990)CaDiCaL version: 2.1.3
% 2.74/1.28 % (620990)Termination reason: Instruction limit
% 2.74/1.28 % (620990)Termination phase: Saturation
% 2.74/1.28 % (620990)Time elapsed: 0.083 s
% 2.74/1.28 % (620990)Peak memory usage: 93 MB
% 2.74/1.28 % (620990)Instructions burned: 287 (million)
% 2.74/1.28 % (620991)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1098148102:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.74/1.28 % (620991)Refutation not found, incomplete strategy
% 2.74/1.28 % (620991)------------------------------
% 2.74/1.28 % (620991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (620991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (620991)CaDiCaL version: 2.1.3
% 2.74/1.28 % (620991)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.28 % (620991)Time elapsed: 0.003 s
% 2.74/1.28 % (620991)Peak memory usage: 89 MB
% 2.74/1.28 % (620991)Instructions burned: 3 (million)
% 2.74/1.28 % (620979)------------------------------
% 2.74/1.28 % (620979)------------------------------
% 2.74/1.28 % (620993)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2669463252:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.74/1.28 % (620993)Refutation not found, incomplete strategy
% 2.74/1.28 % (620993)------------------------------
% 2.74/1.28 % (620993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (620993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (620993)CaDiCaL version: 2.1.3
% 2.74/1.28 % (620993)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.28 % (620993)Time elapsed: 0.002 s
% 2.74/1.28 % (620993)Peak memory usage: 89 MB
% 2.74/1.28 % (620993)Instructions burned: 2 (million)
% 2.74/1.28 % (620981)Refutation found. Thanks to Tanya!
% 2.74/1.28 % SZS status Theorem for theBenchmark
% 2.74/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.48 % (620981)------------------------------
% 3.58/1.48 % (620981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.48 % (620981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.48 % (620981)CaDiCaL version: 2.1.3
% 3.58/1.48 % (620981)Termination reason: Refutation
% 3.58/1.48 % (620981)Time elapsed: 0.030 s
% 3.58/1.48 % (620981)Peak memory usage: 90 MB
% 3.58/1.48 % (620981)Instructions burned: 40 (million)
% 3.58/1.48 % (620981)------------------------------
% 3.58/1.48 % (620981)------------------------------
% 3.58/1.48 % (620971)Success in time 0.436 s
% 3.58/1.48 % Vampire exiting
%------------------------------------------------------------------------------