%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:52:21 AM UTC 2026
% Result : Theorem 6.98s 2.03s
% Output : Refutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 141 ( 48 unt; 6 def)
% Number of atoms : 581 ( 206 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 746 ( 306 ~; 334 |; 94 &)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-3 aty)
% Number of variables : 161 ( 0 sgn 138 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(276)') ).
fof(f2,negated_conjecture,
~ ( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1199 != vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(275, 1217, 0)') ).
fof(f6,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(f8,axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(f9,axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& rline(X4)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f11,axiom,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(273, 1215, 0)') ).
fof(f13,axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f15,axiom,
~ rR(vd1186,vd1199,vd1185),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).
fof(f16,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)') ).
fof(f24,axiom,
? [X0] :
( vd1200 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).
fof(f25,axiom,
? [X0] :
( vd1199 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f27,axiom,
( ~ ? [X0] :
( ron(vd1187,X0)
& ron(vd1186,X0)
& ron(vd1185,X0)
& rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f31,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f69,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f90,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(f137,plain,
( ~ rR(vd1199,vd1185,vd1186)
& ~ rR(vd1185,vd1199,vd1186) ),
inference(ennf_transformation,[],[f2]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f147,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f148,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f147]) ).
fof(f260,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,[],[f90]) ).
fof(f261,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,[],[f260]) ).
fof(f354,plain,
( vd1200 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f24]) ).
fof(f355,plain,
( vd1199 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f25]) ).
fof(f356,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = sK4
& rpoint(sK4)
& vd1186 = sK5
& rpoint(sK5)
& vd1185 = sK6
& rpoint(sK6)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK7
& rpoint(sK7)
& vd1179 = sK8
& rpoint(sK8)
& vd1178 = sK9
& rpoint(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9)],[f140]) ).
fof(f357,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f148]) ).
fof(f430,plain,
~ rR(vd1185,vd1199,vd1186),
inference(cnf_transformation,[],[f137]) ).
fof(f431,plain,
~ rR(vd1199,vd1185,vd1186),
inference(cnf_transformation,[],[f137]) ).
fof(f432,plain,
vd1199 != vd1185,
inference(cnf_transformation,[],[f3]) ).
fof(f435,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f6]) ).
fof(f437,plain,
vd1186 = vd1200,
inference(cnf_transformation,[],[f8]) ).
fof(f438,plain,
ron(vd1186,vd1197),
inference(cnf_transformation,[],[f9]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f139]) ).
fof(f440,plain,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
inference(cnf_transformation,[],[f11]) ).
fof(f442,plain,
rline(vd1197),
inference(cnf_transformation,[],[f13]) ).
fof(f444,plain,
~ rR(vd1186,vd1199,vd1185),
inference(cnf_transformation,[],[f15]) ).
fof(f445,plain,
ron(vd1199,vd1197),
inference(cnf_transformation,[],[f16]) ).
fof(f454,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f354]) ).
fof(f455,plain,
vd1200 = sK2,
inference(cnf_transformation,[],[f354]) ).
fof(f456,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f355]) ).
fof(f457,plain,
vd1199 = sK3,
inference(cnf_transformation,[],[f355]) ).
fof(f468,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f356]) ).
fof(f469,plain,
vd1185 = sK6,
inference(cnf_transformation,[],[f356]) ).
fof(f481,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f357]) ).
fof(f482,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f357]) ).
fof(f562,plain,
v0 = vd684,
inference(cnf_transformation,[],[f69]) ).
fof(f592,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f261]) ).
fof(f723,plain,
vd1186 = sK2,
inference(definition_unfolding,[],[f437,f455]) ).
fof(f724,plain,
~ rR(sK3,sK6,sK2),
inference(definition_unfolding,[],[f431,f457,f469,f723]) ).
fof(f725,plain,
~ rR(sK6,sK3,sK2),
inference(definition_unfolding,[],[f430,f469,f457,f723]) ).
fof(f726,plain,
sK3 != sK6,
inference(definition_unfolding,[],[f432,f457,f469]) ).
fof(f729,plain,
ron(sK6,vd1197),
inference(definition_unfolding,[],[f435,f469]) ).
fof(f731,plain,
ron(sK2,vd1197),
inference(definition_unfolding,[],[f438,f723]) ).
fof(f732,plain,
vf(sK3,sK2) = vf(sK6,sK2),
inference(definition_unfolding,[],[f440,f457,f455,f469,f723]) ).
fof(f735,plain,
~ rR(sK2,sK3,sK6),
inference(definition_unfolding,[],[f444,f723,f457,f469]) ).
fof(f736,plain,
ron(sK3,vd1197),
inference(definition_unfolding,[],[f445,f457]) ).
fof(f752,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f482,f562]) ).
fof(f753,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f481,f562]) ).
fof(f764,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f439]) ).
fof(f765,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X5)
| rR(X0,X1,X5)
| rR(X5,X0,X1)
| ~ ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X5
| X0 = X5
| X0 = X1
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f764]) ).
fof(f766,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X5)
| rR(X0,X6,X5)
| rR(X5,X0,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X5 = X6
| X0 = X5
| X0 = X6
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f765]) ).
fof(f767,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| rR(X7,X6,X5)
| rR(X5,X7,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| rR(X6,X7,X5)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f766]) ).
fof(f780,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f752]) ).
fof(f781,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f780]) ).
fof(f782,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f781]) ).
fof(f783,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f753]) ).
fof(f784,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f783]) ).
fof(f1117,plain,
! [X3,X0,X1,X4,X5] :
( rR(X1,X3,X0)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f592]) ).
fof(f1118,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1117]) ).
fof(f1119,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1118]) ).
fof(f1487,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f782]) ).
fof(f1536,plain,
( vd684 != vf(sK3,sK2)
| sK2 = sK6
| ~ rpoint(sK2)
| ~ rpoint(sK6) ),
inference(superposition,[],[f784,f732]) ).
fof(f1537,plain,
( vd684 != vf(sK3,sK2)
| sK2 = sK6
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1536,f454]) ).
fof(f1538,plain,
( vd684 != vf(sK3,sK2)
| sK2 = sK6 ),
inference(forward_subsumption_resolution,[],[f1537,f468]) ).
fof(f1540,definition,
( spl58_13
<=> sK2 = sK6 ),
introduced(definition,[new_symbols(definition,[spl58_13])],[avatar_definition]) ).
fof(f1541,plain,
( sK2 = sK6
| ~ spl58_13 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1543,definition,
( spl58_14
<=> vd684 = vf(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl58_14])],[avatar_definition]) ).
fof(f1544,plain,
( vd684 != vf(sK3,sK2)
| spl58_14 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f1545,plain,
( spl58_13
| ~ spl58_14 ),
inference(avatar_split_clause,[],[f1538,f1543,f1540]) ).
fof(f1580,definition,
( spl58_16
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl58_16])],[avatar_definition]) ).
fof(f1581,plain,
( sK2 = sK3
| ~ spl58_16 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1586,plain,
( sK2 != sK3
| ~ spl58_13 ),
inference(superposition,[],[f726,f1541]) ).
fof(f1588,plain,
( vf(sK3,sK2) = vf(sK2,sK2)
| ~ spl58_13 ),
inference(superposition,[],[f732,f1541]) ).
fof(f1623,plain,
( vd684 != vf(sK2,sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl58_13 ),
inference(superposition,[],[f784,f1588]) ).
fof(f1624,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl58_13 ),
inference(forward_subsumption_resolution,[],[f1623,f1487]) ).
fof(f1625,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl58_13 ),
inference(forward_subsumption_resolution,[],[f1624,f1586]) ).
fof(f1626,plain,
( ~ rpoint(sK3)
| ~ spl58_13 ),
inference(forward_subsumption_resolution,[],[f1625,f454]) ).
fof(f1627,plain,
( $false
| ~ spl58_13 ),
inference(forward_subsumption_resolution,[],[f1626,f456]) ).
fof(f1628,plain,
~ spl58_13,
inference(avatar_contradiction_clause,[],[f1627]) ).
fof(f1648,plain,
( vd684 != vf(sK2,sK2)
| spl58_14
| ~ spl58_16 ),
inference(superposition,[],[f1544,f1581]) ).
fof(f1665,plain,
vd684 = vf(sK2,sK2),
inference(resolution,[],[f1487,f454]) ).
fof(f1723,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1197)
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1197)
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f767,f442]) ).
fof(f1725,plain,
! [X0,X1] :
( rR(sK3,X0,X1)
| rR(X0,X1,sK3)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1197)
| rR(X1,X0,sK3)
| sK3 = X1
| sK3 = X0
| X0 = X1
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1723,f736]) ).
fof(f1728,plain,
! [X0,X1] :
( ~ ron(X1,vd1197)
| rR(X0,X1,sK3)
| rR(sK3,X0,X1)
| ~ ron(X0,vd1197)
| rR(X1,X0,sK3)
| sK3 = X1
| sK3 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1725,f456]) ).
fof(f1730,plain,
! [X0] :
( rR(X0,sK6,sK3)
| rR(sK3,X0,sK6)
| ~ ron(X0,vd1197)
| rR(sK6,X0,sK3)
| sK3 = sK6
| sK3 = X0
| sK6 = X0
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(resolution,[],[f1728,f729]) ).
fof(f1735,plain,
! [X0] :
( rR(X0,sK6,sK3)
| rR(sK3,X0,sK6)
| ~ ron(X0,vd1197)
| rR(sK6,X0,sK3)
| sK3 = X0
| sK6 = X0
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1730,f726]) ).
fof(f1740,plain,
! [X0] :
( ~ ron(X0,vd1197)
| rR(sK3,X0,sK6)
| rR(X0,sK6,sK3)
| rR(sK6,X0,sK3)
| sK3 = X0
| sK6 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1735,f468]) ).
fof(f1741,plain,
( $false
| spl58_14
| ~ spl58_16 ),
inference(forward_subsumption_resolution,[],[f1648,f1665]) ).
fof(f1742,plain,
( spl58_14
| ~ spl58_16 ),
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1748,plain,
( rR(sK3,sK2,sK6)
| rR(sK2,sK6,sK3)
| rR(sK6,sK2,sK3)
| sK2 = sK3
| sK2 = sK6
| ~ rpoint(sK2) ),
inference(resolution,[],[f1740,f731]) ).
fof(f1750,plain,
( rR(sK3,sK2,sK6)
| rR(sK2,sK6,sK3)
| rR(sK6,sK2,sK3)
| sK2 = sK3
| sK2 = sK6 ),
inference(forward_subsumption_resolution,[],[f1748,f454]) ).
fof(f1752,definition,
( spl58_25
<=> rR(sK6,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl58_25])],[avatar_definition]) ).
fof(f1753,plain,
( rR(sK6,sK2,sK3)
| ~ spl58_25 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1755,definition,
( spl58_26
<=> rR(sK2,sK6,sK3) ),
introduced(definition,[new_symbols(definition,[spl58_26])],[avatar_definition]) ).
fof(f1756,plain,
( rR(sK2,sK6,sK3)
| ~ spl58_26 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f1758,definition,
( spl58_27
<=> rR(sK3,sK2,sK6) ),
introduced(definition,[new_symbols(definition,[spl58_27])],[avatar_definition]) ).
fof(f1759,plain,
( rR(sK3,sK2,sK6)
| ~ spl58_27 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1760,plain,
( spl58_13
| spl58_16
| spl58_25
| spl58_26
| spl58_27 ),
inference(avatar_split_clause,[],[f1750,f1758,f1755,f1752,f1580,f1540]) ).
fof(f1762,plain,
( rR(sK6,sK3,sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK6)
| ~ rpoint(sK2)
| ~ spl58_25 ),
inference(resolution,[],[f1753,f1119]) ).
fof(f1764,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK6)
| ~ rpoint(sK2)
| ~ spl58_25 ),
inference(forward_subsumption_resolution,[],[f1762,f725]) ).
fof(f1765,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK2)
| ~ spl58_25 ),
inference(forward_subsumption_resolution,[],[f1764,f456]) ).
fof(f1766,plain,
( ~ rpoint(sK2)
| ~ spl58_25 ),
inference(forward_subsumption_resolution,[],[f1765,f468]) ).
fof(f1767,plain,
( $false
| ~ spl58_25 ),
inference(forward_subsumption_resolution,[],[f1766,f454]) ).
fof(f1768,plain,
~ spl58_25,
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1770,plain,
( rR(sK2,sK3,sK6)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK6)
| ~ spl58_26 ),
inference(resolution,[],[f1756,f1119]) ).
fof(f1772,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK6)
| ~ spl58_26 ),
inference(forward_subsumption_resolution,[],[f1770,f735]) ).
fof(f1773,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK6)
| ~ spl58_26 ),
inference(forward_subsumption_resolution,[],[f1772,f456]) ).
fof(f1774,plain,
( ~ rpoint(sK6)
| ~ spl58_26 ),
inference(forward_subsumption_resolution,[],[f1773,f454]) ).
fof(f1775,plain,
( $false
| ~ spl58_26 ),
inference(forward_subsumption_resolution,[],[f1774,f468]) ).
fof(f1776,plain,
~ spl58_26,
inference(avatar_contradiction_clause,[],[f1775]) ).
fof(f1778,plain,
( rR(sK3,sK6,sK2)
| ~ rpoint(sK6)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl58_27 ),
inference(resolution,[],[f1759,f1119]) ).
fof(f1780,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl58_27 ),
inference(forward_subsumption_resolution,[],[f1778,f724]) ).
fof(f1781,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl58_27 ),
inference(forward_subsumption_resolution,[],[f1780,f468]) ).
fof(f1782,plain,
( ~ rpoint(sK2)
| ~ spl58_27 ),
inference(forward_subsumption_resolution,[],[f1781,f456]) ).
fof(f1783,plain,
( $false
| ~ spl58_27 ),
inference(forward_subsumption_resolution,[],[f1782,f454]) ).
fof(f1784,plain,
~ spl58_27,
inference(avatar_contradiction_clause,[],[f1783]) ).
cnf(s14,plain,
( spl58_13
| ~ spl58_14 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s16,plain,
~ spl58_13,
inference(sat_conversion,[],[f1628]) ).
cnf(s22,plain,
( spl58_14
| ~ spl58_16 ),
inference(sat_conversion,[],[f1742]) ).
cnf(s23,plain,
( spl58_13
| spl58_16
| spl58_25
| spl58_26
| spl58_27 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s25,plain,
~ spl58_25,
inference(sat_conversion,[],[f1768]) ).
cnf(s27,plain,
~ spl58_26,
inference(sat_conversion,[],[f1776]) ).
cnf(s29,plain,
~ spl58_27,
inference(sat_conversion,[],[f1784]) ).
cnf(s30,plain,
( spl58_13
| spl58_16 ),
inference(rat,[],[s23,s29,s27,s25]) ).
cnf(s31,plain,
spl58_16,
inference(rat,[],[s30,s16]) ).
cnf(s33,plain,
spl58_14,
inference(rat,[],[s22,s31]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s14,s33,s16]) ).
fof(f1785,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:55:05 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.98/2.03 % (2224745)Detected formulas, will run a generic FOF schedule.
% 6.98/2.03 % (2224755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2576851178:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.98/2.03 % (2224755)Instruction limit reached!
% 6.98/2.03 % (2224755)------------------------------
% 6.98/2.03 % (2224755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224755)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224755)Termination reason: Instruction limit
% 6.98/2.03 % (2224755)Termination phase: Saturation
% 6.98/2.03 % (2224755)Time elapsed: 0.047 s
% 6.98/2.03 % (2224755)Peak memory usage: 90 MB
% 6.98/2.03 % (2224755)Instructions burned: 139 (million)
% 6.98/2.03 % (2224751)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=222939914:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.98/2.03 % (2224756)dis-21_1_sil=8000:lcm=predicate:random_seed=1187816153: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)
% 6.98/2.03 % (2224752)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=995738735:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.98/2.03 % (2224753)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=388783013:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.98/2.03 % (2224750)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=1140079550:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.98/2.03 % (2224753)Refutation not found, incomplete strategy
% 6.98/2.03 % (2224753)------------------------------
% 6.98/2.03 % (2224753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224753)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224753)Termination reason: Refutation not found, incomplete strategy
% 6.98/2.03 % (2224753)Time elapsed: 0.002 s
% 6.98/2.03 % (2224753)Peak memory usage: 88 MB
% 6.98/2.03 % (2224753)Instructions burned: 2 (million)
% 6.98/2.03 % (2224754)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2163579140:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.98/2.03 % (2224756)Instruction limit reached!
% 6.98/2.03 % (2224756)------------------------------
% 6.98/2.03 % (2224756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224756)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224756)Termination reason: Instruction limit
% 6.98/2.03 % (2224756)Termination phase: Saturation
% 6.98/2.03 % (2224756)Time elapsed: 0.073 s
% 6.98/2.03 % (2224756)Peak memory usage: 90 MB
% 6.98/2.03 % (2224756)Instructions burned: 129 (million)
% 6.98/2.03 % (2224754)Instruction limit reached!
% 6.98/2.03 % (2224754)------------------------------
% 6.98/2.03 % (2224754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224754)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224754)Termination reason: Instruction limit
% 6.98/2.03 % (2224754)Termination phase: Saturation
% 6.98/2.03 % (2224754)Time elapsed: 0.068 s
% 6.98/2.03 % (2224754)Peak memory usage: 88 MB
% 6.98/2.03 % (2224754)Instructions burned: 120 (million)
% 6.98/2.03 % (2224763)lrs+10_1_sil=8000:sp=occurrence:random_seed=2606481156:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.98/2.03 % (2224763)Instruction limit reached!
% 6.98/2.03 % (2224763)------------------------------
% 6.98/2.03 % (2224763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224763)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224763)Termination reason: Instruction limit
% 6.98/2.03 % (2224763)Termination phase: Saturation
% 6.98/2.03 % (2224763)Time elapsed: 0.086 s
% 6.98/2.03 % (2224763)Peak memory usage: 92 MB
% 6.98/2.03 % (2224763)Instructions burned: 287 (million)
% 6.98/2.03 % (2224766)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1358742424:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.98/2.03 % (2224765)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3764431102:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.98/2.03 % (2224766)Refutation not found, incomplete strategy
% 6.98/2.03 % (2224766)------------------------------
% 6.98/2.03 % (2224766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224766)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224766)Termination reason: Refutation not found, incomplete strategy
% 6.98/2.03 % (2224766)Time elapsed: 0.004 s
% 6.98/2.03 % (2224766)Peak memory usage: 88 MB
% 6.98/2.03 % (2224766)Instructions burned: 4 (million)
% 6.98/2.03 % (2224765)Refutation not found, incomplete strategy
% 6.98/2.03 % (2224765)------------------------------
% 6.98/2.03 % (2224765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224765)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224765)Termination reason: Refutation not found, incomplete strategy
% 6.98/2.03 % (2224765)Time elapsed: 0.009 s
% 6.98/2.03 % (2224765)Peak memory usage: 89 MB
% 6.98/2.03 % (2224765)Instructions burned: 15 (million)
% 6.98/2.03 % (2224753)------------------------------
% 6.98/2.03 % (2224753)------------------------------
% 6.98/2.03 % (2224768)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=2595834992:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.98/2.03 % (2224771)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3574254480:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.98/2.03 % (2224768)Instruction limit reached!
% 6.98/2.03 % (2224768)------------------------------
% 6.98/2.03 % (2224768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224768)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224768)Termination reason: Instruction limit
% 6.98/2.03 % (2224768)Termination phase: Saturation
% 6.98/2.03 % (2224768)Time elapsed: 0.064 s
% 6.98/2.03 % (2224768)Peak memory usage: 90 MB
% 6.98/2.03 % (2224768)Instructions burned: 250 (million)
% 6.98/2.03 % (2224766)------------------------------
% 6.98/2.03 % (2224766)------------------------------
% 6.98/2.03 % (2224765)------------------------------
% 6.98/2.03 % (2224765)------------------------------
% 6.98/2.03 % (2224774)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=92437513:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.98/2.03 % (2224771)Instruction limit reached!
% 6.98/2.03 % (2224771)------------------------------
% 6.98/2.03 % (2224771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224771)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224771)Termination reason: Instruction limit
% 6.98/2.03 % (2224771)Termination phase: Saturation
% 6.98/2.03 % (2224771)Time elapsed: 0.159 s
% 6.98/2.03 % (2224771)Peak memory usage: 89 MB
% 6.98/2.03 % (2224771)Instructions burned: 295 (million)
% 6.98/2.03 % (2224775)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=551594115:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.98/2.03 % (2224776)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3959701852:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.98/2.03 % (2224775)Instruction limit reached!
% 6.98/2.03 % (2224775)------------------------------
% 6.98/2.03 % (2224775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224775)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224775)Termination reason: Instruction limit
% 6.98/2.03 % (2224775)Termination phase: Saturation
% 6.98/2.03 % (2224775)Time elapsed: 0.064 s
% 6.98/2.03 % (2224775)Peak memory usage: 90 MB
% 6.98/2.03 % (2224775)Instructions burned: 113 (million)
% 6.98/2.03 % (2224776)Instruction limit reached!
% 6.98/2.03 % (2224776)------------------------------
% 6.98/2.03 % (2224776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224776)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224776)Termination reason: Instruction limit
% 6.98/2.03 % (2224776)Termination phase: Saturation
% 6.98/2.03 % (2224776)Time elapsed: 0.064 s
% 6.98/2.03 % (2224776)Peak memory usage: 88 MB
% 6.98/2.03 % (2224776)Instructions burned: 127 (million)
% 6.98/2.03 % (2224751)First to succeed.
% 6.98/2.03 % (2224751)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2224745"
% 6.98/2.03 % (2224778)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2890917646:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.98/2.03 % (2224778)Instruction limit reached!
% 6.98/2.03 % (2224778)------------------------------
% 6.98/2.03 % (2224778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224778)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224778)Termination reason: Instruction limit
% 6.98/2.03 % (2224778)Termination phase: Saturation
% 6.98/2.03 % (2224778)Time elapsed: 0.061 s
% 6.98/2.03 % (2224778)Peak memory usage: 89 MB
% 6.98/2.03 % (2224778)Instructions burned: 114 (million)
% 6.98/2.03 % (2224781)lrs+10_1_sil=8000:sp=occurrence:random_seed=227971970:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.98/2.03 % (2224782)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3740870443:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.98/2.03 % (2224782)Refutation not found, incomplete strategy
% 6.98/2.03 % (2224782)------------------------------
% 6.98/2.03 % (2224782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.03 % (2224782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.03 % (2224782)CaDiCaL version: 2.1.3
% 6.98/2.03 % (2224782)Termination reason: Refutation not found, incomplete strategy
% 6.98/2.03 % (2224782)Time elapsed: 0.016 s
% 6.98/2.03 % (2224782)Peak memory usage: 89 MB
% 6.98/2.03 % (2224782)Instructions burned: 29 (million)
% 6.98/2.03 % (2224784)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2587402718:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.98/2.03 % (2224751)Refutation found. Thanks to Tanya!
% 6.98/2.03 % SZS status Theorem for theBenchmark
% 6.98/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.89/2.23 % (2224751)------------------------------
% 8.89/2.23 % (2224751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.23 % (2224751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.23 % (2224751)CaDiCaL version: 2.1.3
% 8.89/2.23 % (2224751)Termination reason: Refutation
% 8.89/2.23 % (2224751)Time elapsed: 0.733 s
% 8.89/2.23 % (2224751)Peak memory usage: 132 MB
% 8.89/2.23 % (2224751)Instructions burned: 1110 (million)
% 8.89/2.23 % (2224751)------------------------------
% 8.89/2.23 % (2224751)------------------------------
% 8.89/2.23 % (2224745)Success in time 1.179 s
% 8.89/2.23 % Vampire exiting
%------------------------------------------------------------------------------