%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO281+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:54:20 AM UTC 2026
% Result : Theorem 5.71s 1.32s
% Output : Refutation 5.71s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(247)))') ).
fof(f4,axiom,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f123,plain,
! [X0] :
( ~ rR(X0,vd1123,vd1125)
| ~ ron(X0,vd1139)
| ~ ron(X0,vd1138)
| ~ rpoint(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f134,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(f135,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,[],[f134]) ).
fof(f233,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f328,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rR(sK2(X0,X2,X4,X6),X4,X6)
& ron(sK2(X0,X2,X4,X6),X0)
& ron(sK2(X0,X2,X4,X6),X2)
& rpoint(sK2(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,[sK2]),skolemize(X8,sK2(X0,X2,X4,X6))],[f135]) ).
fof(f396,plain,
! [X0] :
( ~ rR(X0,vd1123,vd1125)
| ~ ron(X0,vd1139)
| ~ ron(X0,vd1138)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f397,plain,
~ ron(vd1125,vd1139),
inference(cnf_transformation,[],[f3]) ).
fof(f398,plain,
~ rinside(vd1125,vd1139),
inference(cnf_transformation,[],[f4]) ).
fof(f399,plain,
ron(vd1123,vd1138),
inference(cnf_transformation,[],[f5]) ).
fof(f400,plain,
ron(vd1125,vd1138),
inference(cnf_transformation,[],[f5]) ).
fof(f401,plain,
rcircle(vd1139),
inference(cnf_transformation,[],[f5]) ).
fof(f402,plain,
rcenter(vd1123,vd1139),
inference(cnf_transformation,[],[f5]) ).
fof(f406,plain,
rpoint(vd1124),
inference(cnf_transformation,[],[f8]) ).
fof(f407,plain,
vd1123 = vd1124,
inference(cnf_transformation,[],[f8]) ).
fof(f408,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f8]) ).
fof(f409,plain,
vd1125 = vd1126,
inference(cnf_transformation,[],[f8]) ).
fof(f422,plain,
rline(vd1138),
inference(cnf_transformation,[],[f12]) ).
fof(f426,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(sK2(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,[],[f328]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK2(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,[],[f328]) ).
fof(f428,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK2(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,[],[f328]) ).
fof(f429,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(sK2(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,[],[f328]) ).
fof(f515,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f650,plain,
! [X0] :
( ~ rR(X0,vd1124,vd1126)
| ~ ron(X0,vd1139)
| ~ ron(X0,vd1138)
| ~ rpoint(X0) ),
inference(definition_unfolding,[],[f396,f407,f409]) ).
fof(f651,plain,
~ ron(vd1126,vd1139),
inference(definition_unfolding,[],[f397,f409]) ).
fof(f652,plain,
~ rinside(vd1126,vd1139),
inference(definition_unfolding,[],[f398,f409]) ).
fof(f653,plain,
rcenter(vd1124,vd1139),
inference(definition_unfolding,[],[f402,f407]) ).
fof(f654,plain,
ron(vd1126,vd1138),
inference(definition_unfolding,[],[f400,f409]) ).
fof(f655,plain,
ron(vd1124,vd1138),
inference(definition_unfolding,[],[f399,f407]) ).
fof(f686,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rR(sK2(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,[],[f429]) ).
fof(f687,plain,
! [X2,X3,X0,X1,X7,X5] :
( rR(sK2(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,[],[f686]) ).
fof(f688,plain,
! [X3,X0,X1,X7,X5] :
( rR(sK2(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,[],[f687]) ).
fof(f689,plain,
! [X3,X1,X7,X5] :
( rR(sK2(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,[],[f688]) ).
fof(f690,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(sK2(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,[],[f428]) ).
fof(f691,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(sK2(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,[],[f690]) ).
fof(f692,plain,
! [X3,X0,X1,X7,X5] :
( ron(sK2(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,[],[f691]) ).
fof(f693,plain,
! [X3,X1,X7,X5] :
( ron(sK2(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,[],[f692]) ).
fof(f694,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(sK2(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,[],[f427]) ).
fof(f695,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(sK2(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,[],[f694]) ).
fof(f696,plain,
! [X3,X0,X1,X7,X5] :
( ron(sK2(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,[],[f695]) ).
fof(f697,plain,
! [X3,X1,X7,X5] :
( ron(sK2(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,[],[f696]) ).
fof(f698,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rpoint(sK2(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,[],[f426]) ).
fof(f699,plain,
! [X2,X3,X0,X1,X7,X5] :
( rpoint(sK2(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,[],[f698]) ).
fof(f700,plain,
! [X3,X0,X1,X7,X5] :
( rpoint(sK2(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,[],[f699]) ).
fof(f701,plain,
! [X3,X1,X7,X5] :
( rpoint(sK2(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,[],[f700]) ).
fof(f1360,plain,
rinside(vd1124,vd1139),
inference(resolution,[],[f515,f653]) ).
fof(f3999,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(sK2(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(sK2(X1,X0,vd1124,vd1126),vd1138)
| ~ rpoint(sK2(X1,X0,vd1124,vd1126)) ),
inference(resolution,[],[f689,f650]) ).
fof(f4059,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(sK2(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(sK2(X1,X0,vd1124,vd1126),vd1138) ),
inference(forward_subsumption_resolution,[],[f3999,f701]) ).
fof(f4060,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(sK2(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(sK2(X1,X0,vd1124,vd1126),vd1138) ),
inference(forward_subsumption_resolution,[],[f4059,f408]) ).
fof(f4061,plain,
! [X0,X1] :
( ~ ron(sK2(X1,X0,vd1124,vd1126),vd1138)
| ron(vd1126,X1)
| rinside(vd1126,X1)
| ~ ron(vd1124,X0)
| ~ rinside(vd1124,X1)
| ~ rline(X0)
| ~ rcircle(X1)
| ~ ron(sK2(X1,X0,vd1124,vd1126),vd1139)
| ~ ron(vd1126,X0) ),
inference(forward_subsumption_resolution,[],[f4060,f406]) ).
fof(f4063,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ ron(vd1124,vd1138)
| ~ rinside(vd1124,X0)
| ~ rline(vd1138)
| ~ rcircle(X0)
| ~ ron(sK2(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,[],[f4061,f697]) ).
fof(f4064,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ ron(vd1124,vd1138)
| ~ rinside(vd1124,X0)
| ~ rline(vd1138)
| ~ rcircle(X0)
| ~ ron(sK2(X0,vd1138,vd1124,vd1126),vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(duplicate_literal_removal,[],[f4063]) ).
fof(f4066,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rline(vd1138)
| ~ rcircle(X0)
| ~ ron(sK2(X0,vd1138,vd1124,vd1126),vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f4064,f655]) ).
fof(f4067,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ~ ron(sK2(X0,vd1138,vd1124,vd1126),vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f4066,f422]) ).
fof(f4068,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ~ ron(sK2(X0,vd1138,vd1124,vd1126),vd1139)
| ~ rpoint(vd1126)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f4067,f654]) ).
fof(f4069,plain,
! [X0] :
( ron(vd1126,X0)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ~ ron(sK2(X0,vd1138,vd1124,vd1126),vd1139)
| ~ rpoint(vd1124) ),
inference(forward_subsumption_resolution,[],[f4068,f408]) ).
fof(f4070,plain,
! [X0] :
( ~ ron(sK2(X0,vd1138,vd1124,vd1126),vd1139)
| rinside(vd1126,X0)
| ~ rinside(vd1124,X0)
| ~ rcircle(X0)
| ron(vd1126,X0) ),
inference(forward_subsumption_resolution,[],[f4069,f406]) ).
fof(f4073,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,[],[f4070,f693]) ).
fof(f4074,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,[],[f4073]) ).
fof(f4075,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,[],[f4074,f652]) ).
fof(f4076,plain,
( ~ rcircle(vd1139)
| ron(vd1126,vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f4075,f1360]) ).
fof(f4077,plain,
( ron(vd1126,vd1139)
| ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f4076,f401]) ).
fof(f4078,plain,
( ~ ron(vd1126,vd1138)
| ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f4077,f651]) ).
fof(f4079,plain,
( ~ rpoint(vd1126)
| ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f4078,f654]) ).
fof(f4080,plain,
( ~ ron(vd1124,vd1138)
| ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f4079,f408]) ).
fof(f4081,plain,
( ~ rpoint(vd1124)
| ~ rline(vd1138) ),
inference(forward_subsumption_resolution,[],[f4080,f655]) ).
fof(f4082,plain,
~ rline(vd1138),
inference(forward_subsumption_resolution,[],[f4081,f406]) ).
fof(f4083,plain,
$false,
inference(forward_subsumption_resolution,[],[f4082,f422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO281+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n019.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 07:59:04 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.10/0.97 % (2778886)Will run a generic schedule for satisfiability detection.
% 2.10/0.97 % (2778892)% WARNING: option uhcvi not known.
% 2.10/0.97 % (2778891)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2596508947_2999 on theBenchmark for (2999ds/0Mi)
% 2.10/0.97 % (2778893)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2863475891:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.10/0.97 % (2778894)dis+10_1_sil=32000:sp=arity:random_seed=1694115834:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.10/0.97 % (2778892)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2814981551:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.10/0.97 % (2778895)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2151687257:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.10/0.97 % (2778896)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2968569381:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.10/0.97 % (2778897)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1835280094:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.10/0.97 % Detected minimum model sizes of [3]
% 2.10/0.97 % Detected maximum model sizes of [max]
% 2.10/0.97 % (2778891)Cannot represent all propositional literals internally
% 2.10/0.97 % (2778891)Refutation not found, incomplete strategy
% 2.10/0.97 % (2778891)------------------------------
% 2.10/0.97 % (2778891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.97 % (2778891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.97 % (2778891)CaDiCaL version: 2.1.3
% 2.10/0.97 % (2778891)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.97 % (2778891)Time elapsed: 0.033 s
% 2.10/0.97 % (2778891)Peak memory usage: 12 MB
% 2.10/0.97 % (2778891)Instructions burned: 67 (million)
% 2.10/0.97 % (2778891)------------------------------
% 2.10/0.97 % (2778891)------------------------------
% 2.10/0.97 % (2778905)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3145353389:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.10/0.97 % (2778895)Instruction limit reached!
% 2.10/0.97 % (2778895)------------------------------
% 2.10/0.97 % (2778895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.97 % (2778895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.97 % (2778895)CaDiCaL version: 2.1.3
% 2.10/0.97 % (2778895)Termination reason: Instruction limit
% 2.10/0.97 % (2778895)Termination phase: Saturation
% 2.10/0.97 % (2778895)Time elapsed: 0.057 s
% 2.10/0.97 % (2778895)Peak memory usage: 13 MB
% 2.10/0.97 % (2778895)Instructions burned: 116 (million)
% 2.10/0.97 % (2778894)Instruction limit reached!
% 2.10/0.97 % (2778894)------------------------------
% 2.10/0.97 % (2778894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.97 % (2778894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.97 % (2778894)CaDiCaL version: 2.1.3
% 2.10/0.97 % (2778894)Termination reason: Instruction limit
% 2.10/0.97 % (2778894)Termination phase: Saturation
% 2.10/0.97 % (2778894)Time elapsed: 0.058 s
% 2.10/0.97 % (2778894)Peak memory usage: 13 MB
% 2.10/0.97 % (2778894)Instructions burned: 103 (million)
% 2.10/0.97 % (2778896)Instruction limit reached!
% 2.10/0.97 % (2778896)------------------------------
% 2.10/0.97 % (2778896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.97 % (2778896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.97 % (2778896)CaDiCaL version: 2.1.3
% 2.10/0.97 % (2778896)Termination reason: Instruction limit
% 2.10/0.97 % (2778896)Termination phase: Saturation
% 2.10/0.97 % (2778896)Time elapsed: 0.065 s
% 2.10/0.97 % (2778896)Peak memory usage: 13 MB
% 2.10/0.97 % (2778896)Instructions burned: 133 (million)
% 2.10/0.97 % (2778907)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=61365146:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.10/0.97 % (2778908)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2224301126:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.10/0.97 % Detected minimum model sizes of [3]
% 2.10/0.97 % Detected maximum model sizes of [max]
% 2.10/0.97 % (2778905)Cannot represent all propositional literals internally
% 2.10/0.97 % (2778905)Refutation not found, incomplete strategy
% 5.26/1.30 % (2778905)------------------------------
% 5.26/1.30 % (2778905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.30 % (2778905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.30 % (2778905)CaDiCaL version: 2.1.3
% 5.26/1.30 % (2778905)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.30 % (2778905)Time elapsed: 0.027 s
% 5.26/1.30 % (2778905)Peak memory usage: 11 MB
% 5.26/1.30 % (2778905)Instructions burned: 53 (million)
% 5.26/1.30 % (2778905)------------------------------
% 5.26/1.30 % (2778905)------------------------------
% 5.26/1.30 % (2778909)ott-21_1_sil=16000:fs=off:random_seed=805871643:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.26/1.30 % (2778897)Instruction limit reached!
% 5.26/1.30 % (2778897)------------------------------
% 5.26/1.30 % (2778897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.30 % (2778897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.30 % (2778897)CaDiCaL version: 2.1.3
% 5.26/1.30 % (2778897)Termination reason: Instruction limit
% 5.26/1.30 % (2778897)Termination phase: Saturation
% 5.26/1.30 % (2778897)Time elapsed: 0.090 s
% 5.26/1.30 % (2778897)Peak memory usage: 15 MB
% 5.26/1.30 % (2778897)Instructions burned: 159 (million)
% 5.26/1.30 % (2778912)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3905460785:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.26/1.30 % (2778914)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2715949862:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.26/1.30 % (2778907)Instruction limit reached!
% 5.26/1.30 % (2778907)------------------------------
% 5.26/1.30 % (2778907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.30 % (2778907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.30 % (2778907)CaDiCaL version: 2.1.3
% 5.26/1.30 % (2778907)Termination reason: Instruction limit
% 5.26/1.30 % (2778907)Termination phase: Saturation
% 5.26/1.30 % (2778907)Time elapsed: 0.051 s
% 5.26/1.30 % (2778907)Peak memory usage: 12 MB
% 5.26/1.30 % (2778907)Instructions burned: 131 (million)
% 5.26/1.30 % Detected minimum model sizes of [3]
% 5.26/1.30 % Detected maximum model sizes of [max]
% 5.26/1.30 % (2778914)Cannot represent all propositional literals internally
% 5.26/1.30 % (2778914)Refutation not found, incomplete strategy
% 5.26/1.30 % (2778914)------------------------------
% 5.26/1.30 % (2778914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.30 % (2778914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.30 % (2778914)CaDiCaL version: 2.1.3
% 5.26/1.30 % (2778914)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.30 % (2778914)Time elapsed: 0.026 s
% 5.26/1.30 % (2778914)Peak memory usage: 11 MB
% 5.26/1.30 % (2778914)Instructions burned: 55 (million)
% 5.26/1.30 % (2778914)------------------------------
% 5.26/1.30 % (2778914)------------------------------
% 5.26/1.30 % (2778917)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=288082753:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.26/1.30 % (2778918)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4051060461:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.26/1.30 % (2778909)Instruction limit reached!
% 5.26/1.30 % (2778909)------------------------------
% 5.26/1.30 % (2778909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.30 % (2778909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.30 % (2778909)CaDiCaL version: 2.1.3
% 5.26/1.30 % (2778909)Termination reason: Instruction limit
% 5.26/1.30 % (2778909)Termination phase: Saturation
% 5.26/1.30 % (2778909)Time elapsed: 0.092 s
% 5.26/1.30 % (2778909)Peak memory usage: 14 MB
% 5.26/1.30 % (2778909)Instructions burned: 180 (million)
% 5.26/1.30 % (2778918)Cannot represent all propositional literals internally
% 5.26/1.30 % (2778918)Refutation not found, incomplete strategy
% 5.26/1.30 % (2778918)------------------------------
% 5.26/1.30 % (2778918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.30 % (2778918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.30 % (2778918)CaDiCaL version: 2.1.3
% 5.26/1.30 % (2778918)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.30 % (2778918)Time elapsed: 0.026 s
% 5.26/1.30 % (2778918)Peak memory usage: 11 MB
% 5.26/1.30 % (2778918)Instructions burned: 54 (million)
% 5.71/1.32 % (2778918)------------------------------
% 5.71/1.32 % (2778918)------------------------------
% 5.71/1.32 % (2778921)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3698890011:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 5.71/1.32 % (2778922)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2865430337:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 5.71/1.32 % (2778912)Instruction limit reached!
% 5.71/1.32 % (2778912)------------------------------
% 5.71/1.32 % (2778912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778912)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778912)Termination reason: Instruction limit
% 5.71/1.32 % (2778912)Termination phase: Saturation
% 5.71/1.32 % (2778912)Time elapsed: 0.292 s
% 5.71/1.32 % (2778912)Peak memory usage: 16 MB
% 5.71/1.32 % (2778912)Instructions burned: 477 (million)
% 5.71/1.32 % (2778925)fmb+10_1_sil=64000:random_seed=1506878817:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 5.71/1.32 % Detected minimum model sizes of [3]
% 5.71/1.32 % Detected maximum model sizes of [max]
% 5.71/1.32 % (2778925)Cannot represent all propositional literals internally
% 5.71/1.32 % (2778925)Refutation not found, incomplete strategy
% 5.71/1.32 % (2778925)------------------------------
% 5.71/1.32 % (2778925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778925)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778925)Termination reason: Refutation not found, incomplete strategy
% 5.71/1.32 % (2778925)Time elapsed: 0.025 s
% 5.71/1.32 % (2778925)Peak memory usage: 11 MB
% 5.71/1.32 % (2778925)Instructions burned: 51 (million)
% 5.71/1.32 % (2778925)------------------------------
% 5.71/1.32 % (2778925)------------------------------
% 5.71/1.32 % (2778908)Instruction limit reached!
% 5.71/1.32 % (2778908)------------------------------
% 5.71/1.32 % (2778908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778908)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778908)Termination reason: Instruction limit
% 5.71/1.32 % (2778908)Termination phase: Saturation
% 5.71/1.32 % (2778908)Time elapsed: 0.369 s
% 5.71/1.32 % (2778908)Peak memory usage: 20 MB
% 5.71/1.32 % (2778908)Instructions burned: 684 (million)
% 5.71/1.32 % (2778927)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3105363456:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 5.71/1.32 % (2778928)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=771138296:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 5.71/1.32 % Detected minimum model sizes of [3]
% 5.71/1.32 % Detected maximum model sizes of [max]
% 5.71/1.32 % (2778927)Cannot represent all propositional literals internally
% 5.71/1.32 % (2778927)Refutation not found, incomplete strategy
% 5.71/1.32 % (2778927)------------------------------
% 5.71/1.32 % (2778927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778927)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778927)Termination reason: Refutation not found, incomplete strategy
% 5.71/1.32 % (2778927)Time elapsed: 0.026 s
% 5.71/1.32 % (2778927)Peak memory usage: 11 MB
% 5.71/1.32 % (2778927)Instructions burned: 54 (million)
% 5.71/1.32 % (2778927)------------------------------
% 5.71/1.32 % (2778927)------------------------------
% 5.71/1.32 % Detected minimum model sizes of [3]
% 5.71/1.32 % Detected maximum model sizes of [max]
% 5.71/1.32 % (2778928)Cannot represent all propositional literals internally
% 5.71/1.32 % (2778928)Refutation not found, incomplete strategy
% 5.71/1.32 % (2778928)------------------------------
% 5.71/1.32 % (2778928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778928)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778928)Termination reason: Refutation not found, incomplete strategy
% 5.71/1.32 % (2778928)Time elapsed: 0.026 s
% 5.71/1.32 % (2778928)Peak memory usage: 11 MB
% 5.71/1.32 % (2778928)Instructions burned: 54 (million)
% 5.71/1.32 % (2778928)------------------------------
% 5.71/1.32 % (2778928)------------------------------
% 5.71/1.32 % (2778931)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3576028044:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 5.71/1.32 % (2778932)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3382036654:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 5.71/1.32 % (2778921)Instruction limit reached!
% 5.71/1.32 % (2778921)------------------------------
% 5.71/1.32 % (2778921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778921)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778921)Termination reason: Instruction limit
% 5.71/1.32 % (2778921)Termination phase: Saturation
% 5.71/1.32 % (2778921)Time elapsed: 0.393 s
% 5.71/1.32 % (2778921)Peak memory usage: 22 MB
% 5.71/1.32 % (2778921)Instructions burned: 693 (million)
% 5.71/1.32 % (2778935)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3343762819:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 5.71/1.32 % Detected minimum model sizes of [3]
% 5.71/1.32 % Detected maximum model sizes of [max]
% 5.71/1.32 % (2778935)Cannot represent all propositional literals internally
% 5.71/1.32 % (2778935)Refutation not found, incomplete strategy
% 5.71/1.32 % (2778935)------------------------------
% 5.71/1.32 % (2778935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778935)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778935)Termination reason: Refutation not found, incomplete strategy
% 5.71/1.32 % (2778935)Time elapsed: 0.033 s
% 5.71/1.32 % (2778935)Peak memory usage: 12 MB
% 5.71/1.32 % (2778935)Instructions burned: 67 (million)
% 5.71/1.32 % (2778935)------------------------------
% 5.71/1.32 % (2778935)------------------------------
% 5.71/1.32 % (2778922)Instruction limit reached!
% 5.71/1.32 % (2778922)------------------------------
% 5.71/1.32 % (2778922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778922)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778922)Termination reason: Instruction limit
% 5.71/1.32 % (2778922)Termination phase: Saturation
% 5.71/1.32 % (2778922)Time elapsed: 0.453 s
% 5.71/1.32 % (2778922)Peak memory usage: 20 MB
% 5.71/1.32 % (2778922)Instructions burned: 880 (million)
% 5.71/1.32 % (2778937)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2303132698:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 5.71/1.32 % (2778938)ott-2_1_sil=16000:newcnf=on:random_seed=4162418450:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 5.71/1.32 % Detected minimum model sizes of [3]
% 5.71/1.32 % Detected maximum model sizes of [max]
% 5.71/1.32 % (2778937)Cannot represent all propositional literals internally
% 5.71/1.32 % (2778937)Refutation not found, incomplete strategy
% 5.71/1.32 % (2778937)------------------------------
% 5.71/1.32 % (2778937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778937)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778937)Termination reason: Refutation not found, incomplete strategy
% 5.71/1.32 % (2778937)Time elapsed: 0.026 s
% 5.71/1.32 % (2778937)Peak memory usage: 11 MB
% 5.71/1.32 % (2778937)Instructions burned: 56 (million)
% 5.71/1.32 % (2778937)------------------------------
% 5.71/1.32 % (2778937)------------------------------
% 5.71/1.32 % (2778941)ott+10_1_sil=32000:tgt=ground:random_seed=1970124748:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 5.71/1.32 % (2778917)Instruction limit reached!
% 5.71/1.32 % (2778917)------------------------------
% 5.71/1.32 % (2778917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778917)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778917)Termination reason: Instruction limit
% 5.71/1.32 % (2778917)Termination phase: Saturation
% 5.71/1.32 % (2778917)Time elapsed: 0.615 s
% 5.71/1.32 % (2778917)Peak memory usage: 27 MB
% 5.71/1.32 % (2778917)Instructions burned: 1179 (million)
% 5.71/1.32 % (2778943)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=667648339:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 5.71/1.32 % Detected minimum model sizes of [3]
% 5.71/1.32 % Detected maximum model sizes of [max]
% 5.71/1.32 % (2778943)Cannot represent all propositional literals internally
% 5.71/1.32 % (2778943)Refutation not found, incomplete strategy
% 5.71/1.32 % (2778943)------------------------------
% 5.71/1.32 % (2778943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778943)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778943)Termination reason: Refutation not found, incomplete strategy
% 5.71/1.32 % (2778943)Time elapsed: 0.033 s
% 5.71/1.32 % (2778943)Peak memory usage: 12 MB
% 5.71/1.32 % (2778943)Instructions burned: 67 (million)
% 5.71/1.32 % (2778943)------------------------------
% 5.71/1.32 % (2778943)------------------------------
% 5.71/1.32 % (2778941) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2778886-2778941"...
% 5.71/1.32 % (2778941)...printing done.
% 5.71/1.32 % (2778945)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3508331534:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 5.71/1.32 % (2778941)Refutation found. Thanks to Tanya!
% 5.71/1.32 % SZS status Theorem for theBenchmark
% 5.71/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 5.71/1.32 % (2778941)------------------------------
% 5.71/1.32 % (2778941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.32 % (2778941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.32 % (2778941)CaDiCaL version: 2.1.3
% 5.71/1.32 % (2778941)Termination reason: Refutation
% 5.71/1.32 % (2778941)Time elapsed: 0.124 s
% 5.71/1.32 % (2778941)Peak memory usage: 15 MB
% 5.71/1.32 % (2778941)Instructions burned: 233 (million)
% 5.71/1.32 % (2778886)Success in time 0.874 s
% 5.71/1.32 % Vampire exiting
%------------------------------------------------------------------------------