%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO281+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 4.94s 1.45s
% Output : Refutation 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 76 ( 22 unt; 0 def)
% Number of atoms : 533 ( 64 equ)
% Maximal formula atoms : 17 ( 7 avg)
% Number of connectives : 824 ( 367 ~; 411 |; 44 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-4 aty)
% Number of variables : 181 ( 176 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( rR(X0,vd1123,vd1125)
& ron(X0,vd1139)
& ron(X0,vd1138)
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(248)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( rR(X0,vd1123,vd1125)
& ron(X0,vd1139)
& ron(X0,vd1138)
& rpoint(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
~ ron(vd1125,vd1139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(247)))') ).
fof(f4,axiom,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(247))') ).
fof(f5,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(f8,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(f12,axiom,
rline(vd1138),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(246, 0)') ).
fof(f15,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X6,X2)
& ~ ron(X6,X0)
& ~ rinside(X6,X0)
& X6 = X7
& rpoint(X7)
& ron(X4,X2)
& rinside(X4,X0)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rline(X3)
& X0 = X1
& rcircle(X1) )
=> ? [X8] :
( rR(X8,X4,X6)
& ron(X8,X0)
& ron(X8,X2)
& rpoint(X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof(f69,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f120,plain,
! [X0] :
( ~ rR(X0,vd1123,vd1125)
| ~ ron(X0,vd1139)
| ~ ron(X0,vd1138)
| ~ rpoint(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f175,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rR(X8,X4,X6)
& ron(X8,X0)
& ron(X8,X2)
& rpoint(X8) )
| ~ ron(X6,X2)
| ron(X6,X0)
| rinside(X6,X0)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rR(X8,X4,X6)
& ron(X8,X0)
& ron(X8,X2)
& rpoint(X8) )
| ~ ron(X6,X2)
| ron(X6,X0)
| rinside(X6,X0)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(flattening,[],[f217]) ).
fof(f335,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rR(sK26(X0,X2,X4,X6),X4,X6)
& ron(sK26(X0,X2,X4,X6),X0)
& ron(sK26(X0,X2,X4,X6),X2)
& rpoint(sK26(X0,X2,X4,X6)) )
| ~ ron(X6,X2)
| ron(X6,X0)
| rinside(X6,X0)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X8,sK26(X0,X2,X4,X6))],[f218]) ).
fof(f360,plain,
! [X0] :
( ~ rR(X0,vd1123,vd1125)
| ~ ron(X0,vd1139)
| ~ ron(X0,vd1138)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f363,plain,
rpoint(vd1124),
inference(cnf_transformation,[],[f8]) ).
fof(f364,plain,
vd1123 = vd1124,
inference(cnf_transformation,[],[f8]) ).
fof(f365,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f8]) ).
fof(f366,plain,
vd1125 = vd1126,
inference(cnf_transformation,[],[f8]) ).
fof(f375,plain,
ron(vd1123,vd1138),
inference(cnf_transformation,[],[f5]) ).
fof(f376,plain,
ron(vd1125,vd1138),
inference(cnf_transformation,[],[f5]) ).
fof(f377,plain,
rcircle(vd1139),
inference(cnf_transformation,[],[f5]) ).
fof(f378,plain,
rcenter(vd1123,vd1139),
inference(cnf_transformation,[],[f5]) ).
fof(f404,plain,
~ rinside(vd1125,vd1139),
inference(cnf_transformation,[],[f4]) ).
fof(f405,plain,
~ ron(vd1125,vd1139),
inference(cnf_transformation,[],[f3]) ).
fof(f420,plain,
rline(vd1138),
inference(cnf_transformation,[],[f12]) ).
fof(f441,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f498,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(sK26(X0,X2,X4,X6))
| ~ ron(X6,X2)
| ron(X6,X0)
| rinside(X6,X0)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f499,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK26(X0,X2,X4,X6),X2)
| ~ ron(X6,X2)
| ron(X6,X0)
| rinside(X6,X0)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK26(X0,X2,X4,X6),X0)
| ~ ron(X6,X2)
| ron(X6,X0)
| rinside(X6,X0)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f501,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(sK26(X0,X2,X4,X6),X4,X6)
| ~ ron(X6,X2)
| ron(X6,X0)
| rinside(X6,X0)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f593,plain,
! [X0] :
( ~ rR(X0,vd1124,vd1126)
| ~ ron(X0,vd1139)
| ~ ron(X0,vd1138)
| ~ rpoint(X0) ),
inference(definition_unfolding,[],[f360,f364,f366]) ).
fof(f600,plain,
rcenter(vd1124,vd1139),
inference(definition_unfolding,[],[f378,f364]) ).
fof(f601,plain,
ron(vd1126,vd1138),
inference(definition_unfolding,[],[f376,f366]) ).
fof(f602,plain,
ron(vd1124,vd1138),
inference(definition_unfolding,[],[f375,f364]) ).
fof(f603,plain,
~ rinside(vd1126,vd1139),
inference(definition_unfolding,[],[f404,f366]) ).
fof(f604,plain,
~ ron(vd1126,vd1139),
inference(definition_unfolding,[],[f405,f366]) ).
fof(f944,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rR(sK26(X0,X2,X4,X7),X4,X7)
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f501]) ).
fof(f945,plain,
! [X2,X3,X0,X1,X7,X5] :
( rR(sK26(X0,X2,X5,X7),X5,X7)
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f944]) ).
fof(f946,plain,
! [X3,X0,X1,X7,X5] :
( rR(sK26(X0,X3,X5,X7),X5,X7)
| ~ ron(X7,X3)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f945]) ).
fof(f947,plain,
! [X3,X1,X7,X5] :
( rR(sK26(X1,X3,X5,X7),X5,X7)
| ~ ron(X7,X3)
| ron(X7,X1)
| rinside(X7,X1)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f946]) ).
fof(f948,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(sK26(X0,X2,X4,X7),X0)
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f500]) ).
fof(f949,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(sK26(X0,X2,X5,X7),X0)
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f948]) ).
fof(f950,plain,
! [X3,X0,X1,X7,X5] :
( ron(sK26(X0,X3,X5,X7),X0)
| ~ ron(X7,X3)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f949]) ).
fof(f951,plain,
! [X3,X1,X7,X5] :
( ron(sK26(X1,X3,X5,X7),X1)
| ~ ron(X7,X3)
| ron(X7,X1)
| rinside(X7,X1)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f950]) ).
fof(f952,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(sK26(X0,X2,X4,X7),X2)
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f499]) ).
fof(f953,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(sK26(X0,X2,X5,X7),X2)
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f952]) ).
fof(f954,plain,
! [X3,X0,X1,X7,X5] :
( ron(sK26(X0,X3,X5,X7),X3)
| ~ ron(X7,X3)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f953]) ).
fof(f955,plain,
! [X3,X1,X7,X5] :
( ron(sK26(X1,X3,X5,X7),X3)
| ~ ron(X7,X3)
| ron(X7,X1)
| rinside(X7,X1)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f954]) ).
fof(f956,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rpoint(sK26(X0,X2,X4,X7))
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f498]) ).
fof(f957,plain,
! [X2,X3,X0,X1,X7,X5] :
( rpoint(sK26(X0,X2,X5,X7))
| ~ ron(X7,X2)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f956]) ).
fof(f958,plain,
! [X3,X0,X1,X7,X5] :
( rpoint(sK26(X0,X3,X5,X7))
| ~ ron(X7,X3)
| ron(X7,X0)
| rinside(X7,X0)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f957]) ).
fof(f959,plain,
! [X3,X1,X7,X5] :
( rpoint(sK26(X1,X3,X5,X7))
| ~ ron(X7,X3)
| ron(X7,X1)
| rinside(X7,X1)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f958]) ).
fof(f1292,plain,
rinside(vd1124,vd1139),
inference(resolution,[],[f441,f600]) ).
fof(f3871,plain,
! [X0,X1] :
( ~ ron(vd1126,X0)
| ron(vd1126,X1)
| rinside(vd1126,X1)
| ~ rpoint(vd1126)
| ~ ron(vd1124,X0)
| ~ rinside(vd1124,X1)
| ~ rpoint(vd1124)
| ~ rline(X0)
| ~ rcircle(X1)
| ~ ron(sK26(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(sK26(X1,X0,vd1124,vd1126),vd1138)
| ~ rpoint(sK26(X1,X0,vd1124,vd1126)) ),
inference(resolution,[],[f947,f593]) ).
fof(f3928,plain,
! [X0,X1] :
( ~ ron(vd1126,X0)
| ron(vd1126,X1)
| rinside(vd1126,X1)
| ~ rpoint(vd1126)
| ~ ron(vd1124,X0)
| ~ rinside(vd1124,X1)
| ~ rpoint(vd1124)
| ~ rline(X0)
| ~ rcircle(X1)
| ~ ron(sK26(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(sK26(X1,X0,vd1124,vd1126),vd1138) ),
inference(forward_subsumption_resolution,[],[f3871,f959]) ).
fof(f3929,plain,
! [X0,X1] :
( ~ ron(vd1126,X0)
| ron(vd1126,X1)
| rinside(vd1126,X1)
| ~ ron(vd1124,X0)
| ~ rinside(vd1124,X1)
| ~ rpoint(vd1124)
| ~ rline(X0)
| ~ rcircle(X1)
| ~ ron(sK26(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(sK26(X1,X0,vd1124,vd1126),vd1138) ),
inference(forward_subsumption_resolution,[],[f3928,f365]) ).
fof(f3930,plain,
! [X0,X1] :
( ~ ron(sK26(X1,X0,vd1124,vd1126),vd1138)
| ron(vd1126,X1)
| rinside(vd1126,X1)
| ~ ron(vd1124,X0)
| ~ rinside(vd1124,X1)
| ~ rline(X0)
| ~ rcircle(X1)
| ~ ron(sK26(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(vd1126,X0) ),
inference(forward_subsumption_resolution,[],[f3929,f363]) ).
fof(f3932,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ ron(vd1124,vd1138)
| ~ rinside(vd1124,X0)
| ~ rline(vd1138)
| ~ rcircle(X0)
| ~ ron(sK26(X0,vd1138,vd1124,vd1126),vd1139)
| ~ ron(vd1126,vd1138)
| ~ ron(vd1126,vd1138)
| ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rinside(vd1124,X0)
| ~ rpoint(vd1124)
| ~ rline(vd1138)
| ~ rcircle(X0) ),
inference(resolution,[],[f3930,f955]) ).
fof(f3933,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ ron(vd1124,vd1138)
| ~ rinside(vd1124,X0)
| ~ rline(vd1138)
| ~ rcircle(X0)
| ~ ron(sK26(X0,vd1138,vd1124,vd1126),vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(duplicate_literal_removal,[],[f3932]) ).
fof(f3935,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rline(vd1138)
| ~ rcircle(X0)
| ~ ron(sK26(X0,vd1138,vd1124,vd1126),vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f3933,f602]) ).
fof(f3936,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ~ ron(sK26(X0,vd1138,vd1124,vd1126),vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f3935,f420]) ).
fof(f3937,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ~ ron(sK26(X0,vd1138,vd1124,vd1126),vd1139)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f3936,f601]) ).
fof(f3938,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ~ ron(sK26(X0,vd1138,vd1124,vd1126),vd1139)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f3937,f365]) ).
fof(f3939,plain,
! [X0] :
( ~ ron(sK26(X0,vd1138,vd1124,vd1126),vd1139)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ron(vd1126,X0) ),
inference(forward_subsumption_resolution,[],[f3938,f363]) ).
fof(f3940,plain,
( rinside(vd1126,vd1139)
| ~ rinside(vd1124,vd1139)
| ~ rcircle(vd1139)
| ron(vd1126,vd1139)
| ~ ron(vd1126,vd1138)
| ron(vd1126,vd1139)
| rinside(vd1126,vd1139)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rinside(vd1124,vd1139)
| ~ rpoint(vd1124)
| ~ rline(vd1138)
| ~ rcircle(vd1139) ),
inference(resolution,[],[f3939,f951]) ).
fof(f3941,plain,
( rinside(vd1126,vd1139)
| ~ rinside(vd1124,vd1139)
| ~ rcircle(vd1139)
| ron(vd1126,vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(duplicate_literal_removal,[],[f3940]) ).
fof(f3942,plain,
( ~ rinside(vd1124,vd1139)
| ~ rcircle(vd1139)
| ron(vd1126,vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f3941,f603]) ).
fof(f3943,plain,
( ~ rcircle(vd1139)
| ron(vd1126,vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f3942,f1292]) ).
fof(f3944,plain,
( ron(vd1126,vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f3943,f377]) ).
fof(f3945,plain,
( ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f3944,f604]) ).
fof(f3946,plain,
( ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f3945,f601]) ).
fof(f3947,plain,
( ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f3946,f365]) ).
fof(f3948,plain,
( ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f3947,f602]) ).
fof(f3949,plain,
~ rline(vd1138),
inference(forward_subsumption_resolution,[],[f3948,f363]) ).
fof(f3950,plain,
$false,
inference(forward_subsumption_resolution,[],[f3949,f420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO281+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 07:58:35 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.37 Running first-order theorem proving
% 0.07/0.37 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
% 4.94/1.45 % (2047523)Detected formulas, will run a generic FOF schedule.
% 4.94/1.45 % (2047532)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=1309740108:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.94/1.45 % (2047536)dis-21_1_sil=8000:lcm=predicate:random_seed=1753884181: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)
% 4.94/1.45 % (2047535)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3294975370:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.94/1.45 % (2047533)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1962762860:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.94/1.45 % (2047534)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2198556461:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.94/1.45 % (2047531)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=2997790272:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.94/1.45 % (2047530)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=127035350:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.94/1.45 % (2047533)Refutation not found, incomplete strategy
% 4.94/1.45 % (2047533)------------------------------
% 4.94/1.45 % (2047533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.45 % (2047533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.45 % (2047533)CaDiCaL version: 2.1.3
% 4.94/1.45 % (2047533)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.45 % (2047533)Time elapsed: 0.005 s
% 4.94/1.45 % (2047533)Peak memory usage: 89 MB
% 4.94/1.45 % (2047533)Instructions burned: 8 (million)
% 4.94/1.45 % (2047536)Instruction limit reached!
% 4.94/1.45 % (2047536)------------------------------
% 4.94/1.45 % (2047536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.45 % (2047536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.45 % (2047536)CaDiCaL version: 2.1.3
% 4.94/1.45 % (2047536)Termination reason: Instruction limit
% 4.94/1.45 % (2047536)Termination phase: Saturation
% 4.94/1.45 % (2047536)Time elapsed: 0.052 s
% 4.94/1.45 % (2047536)Peak memory usage: 90 MB
% 4.94/1.45 % (2047536)Instructions burned: 131 (million)
% 4.94/1.45 % (2047534)Instruction limit reached!
% 4.94/1.45 % (2047534)------------------------------
% 4.94/1.45 % (2047534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.45 % (2047534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.45 % (2047534)CaDiCaL version: 2.1.3
% 4.94/1.45 % (2047534)Termination reason: Instruction limit
% 4.94/1.45 % (2047534)Termination phase: Saturation
% 4.94/1.45 % (2047534)Time elapsed: 0.054 s
% 4.94/1.45 % (2047534)Peak memory usage: 89 MB
% 4.94/1.45 % (2047534)Instructions burned: 120 (million)
% 4.94/1.45 % (2047535)Instruction limit reached!
% 4.94/1.45 % (2047535)------------------------------
% 4.94/1.45 % (2047535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.45 % (2047535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.45 % (2047535)CaDiCaL version: 2.1.3
% 4.94/1.45 % (2047535)Termination reason: Instruction limit
% 4.94/1.45 % (2047535)Termination phase: Saturation
% 4.94/1.45 % (2047535)Time elapsed: 0.069 s
% 4.94/1.45 % (2047535)Peak memory usage: 90 MB
% 4.94/1.45 % (2047535)Instructions burned: 141 (million)
% 4.94/1.45 % (2047533)------------------------------
% 4.94/1.45 % (2047533)------------------------------
% 4.94/1.45 % (2047545)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1356514928:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.94/1.45 % (2047544)lrs+10_1_sil=8000:sp=occurrence:random_seed=1938774505:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.94/1.45 % (2047546)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3438015529:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.94/1.45 % (2047545)Instruction limit reached!
% 4.94/1.45 % (2047545)------------------------------
% 4.94/1.45 % (2047545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.45 % (2047545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.45 % (2047545)CaDiCaL version: 2.1.3
% 4.94/1.45 % (2047545)Termination reason: Instruction limit
% 4.94/1.45 % (2047545)Termination phase: Saturation
% 4.94/1.45 % (2047545)Time elapsed: 0.071 s
% 4.94/1.45 % (2047545)Peak memory usage: 91 MB
% 4.94/1.45 % (2047545)Instructions burned: 158 (million)
% 4.94/1.45 % (2047544)First to succeed.
% 4.94/1.45 % (2047544)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2047523"
% 4.94/1.45 % (2047547)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1140306047:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.94/1.45 % (2047546)Instruction limit reached!
% 4.94/1.45 % (2047546)------------------------------
% 4.94/1.45 % (2047546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.45 % (2047546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.45 % (2047546)CaDiCaL version: 2.1.3
% 4.94/1.45 % (2047546)Termination reason: Instruction limit
% 4.94/1.45 % (2047546)Termination phase: Saturation
% 4.94/1.45 % (2047546)Time elapsed: 0.163 s
% 4.94/1.45 % (2047546)Peak memory usage: 93 MB
% 4.94/1.45 % (2047546)Instructions burned: 327 (million)
% 4.94/1.45 % (2047547)Instruction limit reached!
% 4.94/1.45 % (2047547)------------------------------
% 4.94/1.45 % (2047547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.45 % (2047547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.45 % (2047547)CaDiCaL version: 2.1.3
% 4.94/1.45 % (2047547)Termination reason: Instruction limit
% 4.94/1.45 % (2047547)Termination phase: Saturation
% 4.94/1.45 % (2047547)Time elapsed: 0.109 s
% 4.94/1.45 % (2047547)Peak memory usage: 94 MB
% 4.94/1.45 % (2047547)Instructions burned: 249 (million)
% 4.94/1.45 % (2047532)Also succeeded, but the first one will report.
% 4.94/1.45 % (2047551)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3390889736:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.94/1.45 % (2047544)Refutation found. Thanks to Tanya!
% 4.94/1.45 % SZS status Theorem for theBenchmark
% 4.94/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 5.74/1.65 % (2047544)------------------------------
% 5.74/1.65 % (2047544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.65 % (2047544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.65 % (2047544)CaDiCaL version: 2.1.3
% 5.74/1.65 % (2047544)Termination reason: Refutation
% 5.74/1.65 % (2047544)Time elapsed: 0.094 s
% 5.74/1.65 % (2047544)Peak memory usage: 92 MB
% 5.74/1.65 % (2047544)Instructions burned: 200 (million)
% 5.74/1.65 % (2047544)------------------------------
% 5.74/1.65 % (2047544)------------------------------
% 5.74/1.65 % (2047523)Success in time 0.753 s
% 5.74/1.65 % Vampire exiting
%------------------------------------------------------------------------------