%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO306+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 : 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 09:54:24 AM UTC 2026
% Result : Theorem 6.02s 1.39s
% Output : Refutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 105 ( 27 unt; 3 def)
% Number of atoms : 534 ( 211 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 758 ( 329 ~; 352 |; 70 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-8 aty)
% Number of variables : 222 ( 0 sgn 214 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( vf(vd1287,vd1299) = vf(vd1287,X0)
& rR(X0,vd1287,vd1302)
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(352)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( vf(vd1287,vd1299) = vf(vd1287,X0)
& rR(X0,vd1287,vd1302)
& rpoint(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(351, 1305, 0)') ).
fof(f6,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f10,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f12,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f13,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof(f49,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f133,plain,
! [X0] :
( vf(vd1287,vd1299) != vf(vd1287,X0)
| ~ rR(X0,vd1287,vd1302)
| ~ rpoint(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f140]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f196]) ).
fof(f346,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK1
& rpoint(sK1)
& vd1288 = sK2
& rpoint(sK2)
& vd1287 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f10]) ).
fof(f422,plain,
! [X0] :
( vf(vd1287,vd1299) != vf(vd1287,X0)
| ~ rR(X0,vd1287,vd1302)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f423,plain,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
inference(cnf_transformation,[],[f3]) ).
fof(f426,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f6]) ).
fof(f427,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f6]) ).
fof(f428,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f6]) ).
fof(f429,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f6]) ).
fof(f433,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f346]) ).
fof(f434,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f346]) ).
fof(f435,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f346]) ).
fof(f436,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f346]) ).
fof(f437,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f346]) ).
fof(f438,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f346]) ).
fof(f444,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f12]) ).
fof(f445,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f13]) ).
fof(f449,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f505,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f197]) ).
fof(f693,plain,
! [X0] :
( ~ rR(X0,sK3,vd1303)
| vf(sK3,vd1300) != vf(sK3,X0)
| ~ rpoint(X0) ),
inference(definition_unfolding,[],[f422,f434,f444,f434,f434,f429]) ).
fof(f694,plain,
rless(vf(sK3,vd1300),vf(sK3,vd1303)),
inference(definition_unfolding,[],[f423,f434,f444,f434,f429]) ).
fof(f697,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f428,f438,f434,f429]) ).
fof(f698,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f426,f436,f434,f444]) ).
fof(f720,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vf(X4,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7))
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f449]) ).
fof(f721,plain,
! [X2,X3,X0,X1,X7,X5] :
( vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f720]) ).
fof(f722,plain,
! [X3,X0,X1,X7,X5] :
( vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f721]) ).
fof(f723,plain,
! [X3,X1,X7,X5] :
( ~ rless(vf(X5,X7),vf(X1,X3))
| vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f722]) ).
fof(f724,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7),X0,X2)
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f450]) ).
fof(f725,plain,
! [X2,X3,X0,X1,X7,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7),X0,X2)
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f724]) ).
fof(f726,plain,
! [X3,X0,X1,X7,X5] :
( rR(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7),X0,X3)
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f725]) ).
fof(f727,plain,
! [X3,X1,X7,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3)
| ~ rless(vf(X5,X7),vf(X1,X3))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f726]) ).
fof(f728,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7))
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f451]) ).
fof(f729,plain,
! [X2,X3,X0,X1,X7,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f728]) ).
fof(f730,plain,
! [X3,X0,X1,X7,X5] :
( rpoint(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f729]) ).
fof(f731,plain,
! [X3,X1,X7,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X1,X3))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f730]) ).
fof(f920,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X2,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f505]) ).
fof(f921,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f920]) ).
fof(f922,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f921]) ).
fof(f923,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f922]) ).
fof(f1487,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f923]) ).
fof(f5108,definition,
( spl52_114
<=> vd1300 = sK3 ),
introduced(definition,[new_symbols(definition,[spl52_114])],[avatar_definition]) ).
fof(f5109,plain,
( vd1300 != sK3
| spl52_114 ),
inference(avatar_component_clause,[],[f5108]) ).
fof(f5110,plain,
( vd1300 = sK3
| ~ spl52_114 ),
inference(avatar_component_clause,[],[f5108]) ).
fof(f5171,plain,
( rR(sK2,sK3,sK3)
| ~ spl52_114 ),
inference(superposition,[],[f698,f5110]) ).
fof(f5266,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl52_114 ),
inference(resolution,[],[f5171,f1487]) ).
fof(f5320,plain,
( ~ rpoint(sK2)
| ~ spl52_114 ),
inference(forward_subsumption_resolution,[],[f5266,f433]) ).
fof(f5336,plain,
( $false
| ~ spl52_114 ),
inference(forward_subsumption_resolution,[],[f5320,f435]) ).
fof(f5337,plain,
~ spl52_114,
inference(avatar_contradiction_clause,[],[f5336]) ).
fof(f6592,plain,
! [X0,X1] :
( ~ rless(vf(X0,X1),vf(sK3,vd1303))
| X0 = X1
| vd1303 = sK3
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,X0,X0,X1,X1))
| ~ rpoint(vskolem1120(sK3,sK3,vd1303,vd1303,X0,X0,X1,X1)) ),
inference(resolution,[],[f727,f693]) ).
fof(f6652,plain,
! [X0,X1] :
( ~ rless(vf(X0,X1),vf(sK3,vd1303))
| X0 = X1
| vd1303 = sK3
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,X0,X0,X1,X1)) ),
inference(forward_subsumption_resolution,[],[f6592,f731]) ).
fof(f6653,plain,
! [X0,X1] :
( ~ rless(vf(X0,X1),vf(sK3,vd1303))
| X0 = X1
| vd1303 = sK3
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,X0,X0,X1,X1)) ),
inference(forward_subsumption_resolution,[],[f6652,f427]) ).
fof(f6654,plain,
! [X0,X1] :
( ~ rless(vf(X0,X1),vf(sK3,vd1303))
| X0 = X1
| vd1303 = sK3
| ~ rpoint(X1)
| ~ rpoint(X0)
| vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,X0,X0,X1,X1)) ),
inference(forward_subsumption_resolution,[],[f6653,f433]) ).
fof(f6656,definition,
( spl52_173
<=> vd1303 = sK3 ),
introduced(definition,[new_symbols(definition,[spl52_173])],[avatar_definition]) ).
fof(f6657,plain,
( vd1303 != sK3
| spl52_173 ),
inference(avatar_component_clause,[],[f6656]) ).
fof(f6658,plain,
( vd1303 = sK3
| ~ spl52_173 ),
inference(avatar_component_clause,[],[f6656]) ).
fof(f6660,definition,
( spl52_174
<=> ! [X0,X1] :
( ~ rless(vf(X0,X1),vf(sK3,vd1303))
| vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,X0,X0,X1,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl52_174])],[avatar_definition]) ).
fof(f6661,plain,
( ! [X0,X1] :
( ~ rless(vf(X0,X1),vf(sK3,vd1303))
| vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,X0,X0,X1,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl52_174 ),
inference(avatar_component_clause,[],[f6660]) ).
fof(f6662,plain,
( spl52_173
| spl52_174 ),
inference(avatar_split_clause,[],[f6654,f6660,f6656]) ).
fof(f6855,plain,
( vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| vd1300 = sK3
| ~ spl52_174 ),
inference(resolution,[],[f6661,f694]) ).
fof(f6858,plain,
( vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| ~ rpoint(vd1300)
| vd1300 = sK3
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f6855,f433]) ).
fof(f6860,plain,
( vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| vd1300 = sK3
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f6858,f445]) ).
fof(f6862,plain,
( vf(sK3,vd1300) != vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| spl52_114
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f6860,f5109]) ).
fof(f7066,plain,
( vf(sK3,vd1300) = vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| vd1300 = sK3
| vd1303 = sK3
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f723,f694]) ).
fof(f7069,plain,
( vf(sK3,vd1300) = vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| vd1300 = sK3
| vd1303 = sK3
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1303) ),
inference(duplicate_literal_removal,[],[f7066]) ).
fof(f7072,plain,
( vd1300 = sK3
| vd1303 = sK3
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| spl52_114
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f7069,f6862]) ).
fof(f7075,plain,
( vd1303 = sK3
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| spl52_114
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f7072,f5109]) ).
fof(f7078,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| spl52_114
| spl52_173
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f7075,f6657]) ).
fof(f7079,plain,
( ~ rpoint(sK3)
| ~ rpoint(vd1303)
| spl52_114
| spl52_173
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f7078,f445]) ).
fof(f7080,plain,
( ~ rpoint(vd1303)
| spl52_114
| spl52_173
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f7079,f433]) ).
fof(f7081,plain,
( $false
| spl52_114
| spl52_173
| ~ spl52_174 ),
inference(forward_subsumption_resolution,[],[f7080,f427]) ).
fof(f7082,plain,
( spl52_114
| spl52_173
| ~ spl52_174 ),
inference(avatar_contradiction_clause,[],[f7081]) ).
fof(f7096,plain,
( rR(sK1,sK3,sK3)
| ~ spl52_173 ),
inference(superposition,[],[f697,f6658]) ).
fof(f7168,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl52_173 ),
inference(resolution,[],[f7096,f1487]) ).
fof(f7226,plain,
( ~ rpoint(sK1)
| ~ spl52_173 ),
inference(forward_subsumption_resolution,[],[f7168,f433]) ).
fof(f7242,plain,
( $false
| ~ spl52_173 ),
inference(forward_subsumption_resolution,[],[f7226,f437]) ).
fof(f7243,plain,
~ spl52_173,
inference(avatar_contradiction_clause,[],[f7242]) ).
cnf(s118,plain,
~ spl52_114,
inference(sat_conversion,[],[f5337]) ).
cnf(s182,plain,
( spl52_173
| spl52_174 ),
inference(sat_conversion,[],[f6662]) ).
cnf(s208,plain,
( spl52_114
| spl52_173
| ~ spl52_174 ),
inference(sat_conversion,[],[f7082]) ).
cnf(s212,plain,
~ spl52_173,
inference(sat_conversion,[],[f7243]) ).
cnf(s218,plain,
( spl52_114
| ~ spl52_174 ),
inference(rat,[],[s208,s212]) ).
cnf(s219,plain,
spl52_174,
inference(rat,[],[s182,s212]) ).
cnf(s220,plain,
spl52_114,
inference(rat,[],[s218,s219]) ).
cnf(s225,plain,
$false,
inference(rat,[],[s118,s220]) ).
fof(f7266,plain,
$false,
inference(avatar_sat_refutation,[],[s225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO306+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8046.5625MB
% 0.12/0.34 % OS : Linux 6.8.0-71-generic
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 27 08:03:16 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 Running first-order model finding
% 0.14/0.38 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
% 2.67/0.83 % (623311)Will run a generic schedule for satisfiability detection.
% 2.67/0.83 % (623322)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=830073018:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.67/0.83 % (623317)% WARNING: option uhcvi not known.
% 2.67/0.83 % (623316)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1091309608_2999 on theBenchmark for (2999ds/0Mi)
% 2.67/0.83 % (623317)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3586120876:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.67/0.83 % (623318)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=58626296:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.67/0.83 % (623319)dis+10_1_sil=32000:sp=arity:random_seed=4153907536:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.67/0.83 % (623320)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1821078247:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.67/0.83 % (623321)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=435282633:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.67/0.83 % Detected minimum model sizes of [3]
% 2.67/0.83 % Detected maximum model sizes of [max]
% 2.67/0.83 % (623316)Cannot represent all propositional literals internally
% 2.67/0.83 % (623316)Refutation not found, incomplete strategy
% 2.67/0.83 % (623316)------------------------------
% 2.67/0.83 % (623316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.83 % (623316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.83 % (623316)CaDiCaL version: 2.1.3
% 2.67/0.83 % (623316)Termination reason: Refutation not found, incomplete strategy
% 2.67/0.83 % (623316)Time elapsed: 0.040 s
% 2.67/0.83 % (623316)Peak memory usage: 12 MB
% 2.67/0.83 % (623316)Instructions burned: 83 (million)
% 2.67/0.83 % (623316)------------------------------
% 2.67/0.83 % (623316)------------------------------
% 2.67/0.83 % (623322)Instruction limit reached!
% 2.67/0.83 % (623322)------------------------------
% 2.67/0.83 % (623322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.83 % (623322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.83 % (623322)CaDiCaL version: 2.1.3
% 2.67/0.83 % (623322)Termination reason: Instruction limit
% 2.67/0.83 % (623322)Termination phase: Saturation
% 2.67/0.83 % (623322)Time elapsed: 0.050 s
% 2.67/0.83 % (623322)Peak memory usage: 15 MB
% 2.67/0.83 % (623322)Instructions burned: 162 (million)
% 2.67/0.83 % (623331)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1887906081:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.67/0.83 % (623320)Instruction limit reached!
% 2.67/0.83 % (623320)------------------------------
% 2.67/0.83 % (623320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.83 % (623320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.83 % (623320)CaDiCaL version: 2.1.3
% 2.67/0.83 % (623320)Termination reason: Instruction limit
% 2.67/0.83 % (623320)Termination phase: Saturation
% 2.67/0.83 % (623320)Time elapsed: 0.057 s
% 2.67/0.83 % (623320)Peak memory usage: 13 MB
% 2.67/0.83 % (623320)Instructions burned: 116 (million)
% 2.67/0.83 % (623319)Instruction limit reached!
% 2.67/0.83 % (623319)------------------------------
% 2.67/0.83 % (623319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.83 % (623319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.83 % (623319)CaDiCaL version: 2.1.3
% 2.67/0.83 % (623319)Termination reason: Instruction limit
% 2.67/0.83 % (623319)Termination phase: Saturation
% 2.67/0.83 % (623319)Time elapsed: 0.057 s
% 2.67/0.83 % (623319)Peak memory usage: 13 MB
% 2.67/0.83 % (623319)Instructions burned: 104 (million)
% 2.67/0.83 % (623330)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3893273164:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.67/0.83 % (623321)Instruction limit reached!
% 2.67/0.83 % (623321)------------------------------
% 2.67/0.83 % (623321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.83 % (623321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.83 % (623321)CaDiCaL version: 2.1.3
% 2.67/0.83 % (623321)Termination reason: Instruction limit
% 2.67/0.83 % (623321)Termination phase: Saturation
% 2.67/0.83 % (623321)Time elapsed: 0.062 s
% 2.67/0.83 % (623321)Peak memory usage: 13 MB
% 2.67/0.83 % (623321)Instructions burned: 132 (million)
% 5.20/1.17 % (623334)ott-21_1_sil=16000:fs=off:random_seed=83582195:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.20/1.17 % (623333)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=3300591589:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.20/1.17 % (623336)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4048153916:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 5.20/1.17 % (623331)Instruction limit reached!
% 5.20/1.17 % (623331)------------------------------
% 5.20/1.17 % (623331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.17 % (623331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.17 % (623331)CaDiCaL version: 2.1.3
% 5.20/1.17 % (623331)Termination reason: Instruction limit
% 5.20/1.17 % (623331)Termination phase: Saturation
% 5.20/1.17 % (623331)Time elapsed: 0.028 s
% 5.20/1.17 % (623331)Peak memory usage: 12 MB
% 5.20/1.17 % (623331)Instructions burned: 133 (million)
% 5.20/1.17 % Detected minimum model sizes of [3]
% 5.20/1.17 % Detected maximum model sizes of [max]
% 5.20/1.17 % (623330)Cannot represent all propositional literals internally
% 5.20/1.17 % (623330)Refutation not found, incomplete strategy
% 5.20/1.17 % (623330)------------------------------
% 5.20/1.17 % (623330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.17 % (623330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.17 % (623330)CaDiCaL version: 2.1.3
% 5.20/1.17 % (623330)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.17 % (623330)Time elapsed: 0.028 s
% 5.20/1.17 % (623330)Peak memory usage: 12 MB
% 5.20/1.17 % (623330)Instructions burned: 59 (million)
% 5.20/1.17 % (623330)------------------------------
% 5.20/1.17 % (623330)------------------------------
% 5.20/1.17 % (623340)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2992727721:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.20/1.17 % (623341)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=401654551:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.20/1.17 % Detected minimum model sizes of [3]
% 5.20/1.17 % Detected maximum model sizes of [max]
% 5.20/1.17 % (623340)Cannot represent all propositional literals internally
% 5.20/1.17 % (623340)Refutation not found, incomplete strategy
% 5.20/1.17 % (623340)------------------------------
% 5.20/1.17 % (623340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.17 % (623340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.17 % (623340)CaDiCaL version: 2.1.3
% 5.20/1.17 % (623340)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.17 % (623340)Time elapsed: 0.017 s
% 5.20/1.17 % (623340)Peak memory usage: 12 MB
% 5.20/1.17 % (623340)Instructions burned: 69 (million)
% 5.20/1.17 % (623340)------------------------------
% 5.20/1.17 % (623340)------------------------------
% 5.20/1.17 % (623344)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3891396626:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.20/1.17 % (623344)Cannot represent all propositional literals internally
% 5.20/1.17 % (623344)Refutation not found, incomplete strategy
% 5.20/1.17 % (623344)------------------------------
% 5.20/1.17 % (623344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.17 % (623344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.17 % (623344)CaDiCaL version: 2.1.3
% 5.20/1.17 % (623344)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.17 % (623344)Time elapsed: 0.017 s
% 5.20/1.17 % (623344)Peak memory usage: 12 MB
% 5.20/1.17 % (623344)Instructions burned: 68 (million)
% 5.20/1.17 % (623344)------------------------------
% 5.20/1.17 % (623344)------------------------------
% 5.20/1.17 % (623346)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=1186999853:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 5.20/1.17 % (623334)Instruction limit reached!
% 5.20/1.17 % (623334)------------------------------
% 5.20/1.17 % (623334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.17 % (623334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.17 % (623334)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623334)Termination reason: Instruction limit
% 6.02/1.39 % (623334)Termination phase: Saturation
% 6.02/1.39 % (623334)Time elapsed: 0.094 s
% 6.02/1.39 % (623334)Peak memory usage: 14 MB
% 6.02/1.39 % (623334)Instructions burned: 180 (million)
% 6.02/1.39 % (623348)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1789466546:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 6.02/1.39 % (623346)Instruction limit reached!
% 6.02/1.39 % (623346)------------------------------
% 6.02/1.39 % (623346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623346)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623346)Termination reason: Instruction limit
% 6.02/1.39 % (623346)Termination phase: Saturation
% 6.02/1.39 % (623346)Time elapsed: 0.168 s
% 6.02/1.39 % (623346)Peak memory usage: 16 MB
% 6.02/1.39 % (623346)Instructions burned: 694 (million)
% 6.02/1.39 % (623350)fmb+10_1_sil=64000:random_seed=272596740:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 6.02/1.39 % Detected minimum model sizes of [3]
% 6.02/1.39 % Detected maximum model sizes of [max]
% 6.02/1.39 % (623350)Cannot represent all propositional literals internally
% 6.02/1.39 % (623350)Refutation not found, incomplete strategy
% 6.02/1.39 % (623350)------------------------------
% 6.02/1.39 % (623350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623350)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623350)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.39 % (623350)Time elapsed: 0.015 s
% 6.02/1.39 % (623350)Peak memory usage: 12 MB
% 6.02/1.39 % (623350)Instructions burned: 56 (million)
% 6.02/1.39 % (623350)------------------------------
% 6.02/1.39 % (623350)------------------------------
% 6.02/1.39 % (623352)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1189918796:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 6.02/1.39 % Detected minimum model sizes of [3]
% 6.02/1.39 % Detected maximum model sizes of [max]
% 6.02/1.39 % (623352)Cannot represent all propositional literals internally
% 6.02/1.39 % (623352)Refutation not found, incomplete strategy
% 6.02/1.39 % (623352)------------------------------
% 6.02/1.39 % (623352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623352)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623352)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.39 % (623352)Time elapsed: 0.017 s
% 6.02/1.39 % (623352)Peak memory usage: 12 MB
% 6.02/1.39 % (623352)Instructions burned: 68 (million)
% 6.02/1.39 % (623352)------------------------------
% 6.02/1.39 % (623352)------------------------------
% 6.02/1.39 % (623354)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=741334824:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 6.02/1.39 % (623336)Instruction limit reached!
% 6.02/1.39 % (623336)------------------------------
% 6.02/1.39 % (623336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623336)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623336)Termination reason: Instruction limit
% 6.02/1.39 % (623336)Termination phase: Saturation
% 6.02/1.39 % (623336)Time elapsed: 0.308 s
% 6.02/1.39 % (623336)Peak memory usage: 15 MB
% 6.02/1.39 % (623336)Instructions burned: 478 (million)
% 6.02/1.39 % Detected minimum model sizes of [3]
% 6.02/1.39 % Detected maximum model sizes of [max]
% 6.02/1.39 % (623354)Cannot represent all propositional literals internally
% 6.02/1.39 % (623354)Refutation not found, incomplete strategy
% 6.02/1.39 % (623354)------------------------------
% 6.02/1.39 % (623354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623354)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623354)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.39 % (623354)Time elapsed: 0.017 s
% 6.02/1.39 % (623354)Peak memory usage: 12 MB
% 6.02/1.39 % (623354)Instructions burned: 68 (million)
% 6.02/1.39 % (623354)------------------------------
% 6.02/1.39 % (623354)------------------------------
% 6.02/1.39 % (623356)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2364703839:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 6.02/1.39 % (623357)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1182624590:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 6.02/1.39 % (623333)Instruction limit reached!
% 6.02/1.39 % (623333)------------------------------
% 6.02/1.39 % (623333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623333)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623333)Termination reason: Instruction limit
% 6.02/1.39 % (623333)Termination phase: Saturation
% 6.02/1.39 % (623333)Time elapsed: 0.356 s
% 6.02/1.39 % (623333)Peak memory usage: 21 MB
% 6.02/1.39 % (623333)Instructions burned: 686 (million)
% 6.02/1.39 % (623360)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1836006709:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 6.02/1.39 % Detected minimum model sizes of [3]
% 6.02/1.39 % Detected maximum model sizes of [max]
% 6.02/1.39 % (623360)Cannot represent all propositional literals internally
% 6.02/1.39 % (623360)Refutation not found, incomplete strategy
% 6.02/1.39 % (623360)------------------------------
% 6.02/1.39 % (623360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623360)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623360)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.39 % (623360)Time elapsed: 0.039 s
% 6.02/1.39 % (623360)Peak memory usage: 12 MB
% 6.02/1.39 % (623360)Instructions burned: 83 (million)
% 6.02/1.39 % (623360)------------------------------
% 6.02/1.39 % (623360)------------------------------
% 6.02/1.39 % (623362)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1959345896:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 6.02/1.39 % Detected minimum model sizes of [3]
% 6.02/1.39 % Detected maximum model sizes of [max]
% 6.02/1.39 % (623362)Cannot represent all propositional literals internally
% 6.02/1.39 % (623362)Refutation not found, incomplete strategy
% 6.02/1.39 % (623362)------------------------------
% 6.02/1.39 % (623362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623362)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623362)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.39 % (623362)Time elapsed: 0.032 s
% 6.02/1.39 % (623362)Peak memory usage: 12 MB
% 6.02/1.39 % (623362)Instructions burned: 69 (million)
% 6.02/1.39 % (623362)------------------------------
% 6.02/1.39 % (623362)------------------------------
% 6.02/1.39 % (623364)ott-2_1_sil=16000:newcnf=on:random_seed=4164093954:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 6.02/1.39 % (623348)Instruction limit reached!
% 6.02/1.39 % (623348)------------------------------
% 6.02/1.39 % (623348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623348)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623348)Termination reason: Instruction limit
% 6.02/1.39 % (623348)Termination phase: Saturation
% 6.02/1.39 % (623348)Time elapsed: 0.476 s
% 6.02/1.39 % (623348)Peak memory usage: 21 MB
% 6.02/1.39 % (623348)Instructions burned: 880 (million)
% 6.02/1.39 % (623366)ott+10_1_sil=32000:tgt=ground:random_seed=2672599395:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 6.02/1.39 % (623341)Instruction limit reached!
% 6.02/1.39 % (623341)------------------------------
% 6.02/1.39 % (623341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623341)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623341)Termination reason: Instruction limit
% 6.02/1.39 % (623341)Termination phase: Saturation
% 6.02/1.39 % (623341)Time elapsed: 0.621 s
% 6.02/1.39 % (623341)Peak memory usage: 25 MB
% 6.02/1.39 % (623341)Instructions burned: 1179 (million)
% 6.02/1.39 % (623357)Instruction limit reached!
% 6.02/1.39 % (623357)------------------------------
% 6.02/1.39 % (623357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623357)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623357)Termination reason: Instruction limit
% 6.02/1.39 % (623357)Termination phase: Saturation
% 6.02/1.39 % (623357)Time elapsed: 0.333 s
% 6.02/1.39 % (623357)Peak memory usage: 16 MB
% 6.02/1.39 % (623357)Instructions burned: 1475 (million)
% 6.02/1.39 % (623368)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2779114627:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 6.02/1.39 % (623369)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2269865348:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 6.02/1.39 % Detected minimum model sizes of [3]
% 6.02/1.39 % Detected maximum model sizes of [max]
% 6.02/1.39 % (623368)Cannot represent all propositional literals internally
% 6.02/1.39 % (623368)Refutation not found, incomplete strategy
% 6.02/1.39 % (623368)------------------------------
% 6.02/1.39 % (623368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623368)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623368)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.39 % (623368)Time elapsed: 0.040 s
% 6.02/1.39 % (623368)Peak memory usage: 12 MB
% 6.02/1.39 % (623368)Instructions burned: 83 (million)
% 6.02/1.39 % (623368)------------------------------
% 6.02/1.39 % (623368)------------------------------
% 6.02/1.39 % (623372)dis+21_1_sil=32000:sas=cadical:random_seed=2441827809:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 6.02/1.39 % (623372) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-623311-623372"...
% 6.02/1.39 % (623372)...printing done.
% 6.02/1.39 % (623372)Refutation found. Thanks to Tanya!
% 6.02/1.39 % SZS status Theorem for theBenchmark
% 6.02/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 6.02/1.39 % (623372)------------------------------
% 6.02/1.39 % (623372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.02/1.39 % (623372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.39 % (623372)CaDiCaL version: 2.1.3
% 6.02/1.39 % (623372)Termination reason: Refutation
% 6.02/1.39 % (623372)Time elapsed: 0.146 s
% 6.02/1.39 % (623372)Peak memory usage: 16 MB
% 6.02/1.39 % (623372)Instructions burned: 273 (million)
% 6.02/1.39 % (623311)Success in time 1.002 s
% 6.02/1.39 % Vampire exiting
%------------------------------------------------------------------------------