%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO340+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:52:32 AM UTC 2026
% Result : Theorem 4.05s 1.62s
% Output : Refutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 60 ( 29 unt; 0 def)
% Number of atoms : 378 ( 208 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 550 ( 232 ~; 259 |; 56 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-7 aty)
% Number of variables : 123 ( 114 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
( X0 != vd1386
& vf(vd1385,vd1386) = vf(vd1385,X0)
& vf(vd1384,vd1386) = vf(vd1384,X0)
& rS(vd1386,X0,vd1391)
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(403))') ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
( X0 != vd1386
& vf(vd1385,vd1386) = vf(vd1385,X0)
& vf(vd1384,vd1386) = vf(vd1384,X0)
& rS(vd1386,X0,vd1391)
& rpoint(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( vd1391 = vd1392
& ron(vd1385,vd1391)
& ron(vd1384,vd1391)
& rline(vd1392)
& vd1385 != vd1386
& vd1384 != vd1386
& vd1384 != vd1385
& ? [X0] :
( vd1386 = X0
& rpoint(X0) )
& ? [X1] :
( vd1385 = X1
& rpoint(X1) )
& ? [X2] :
( vd1384 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
fof(f4,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& 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) ) )
=> ! [X8] :
( ( X8 != X2
& vf(X1,X2) = vf(X1,X8)
& vf(X0,X2) = vf(X0,X8)
& rS(X2,X8,X3)
& rpoint(X8) )
=> ! [X9] :
( X9 = vskolem1416(X8,X0,X1,X2,X3,X4)
=> ! [X10] : X10 != vskolem1419(X9,X8,X0,X1,X2,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 0)') ).
fof(f126,plain,
? [X0] :
( X0 != vd1386
& vf(vd1385,vd1386) = vf(vd1385,X0)
& vf(vd1384,vd1386) = vf(vd1384,X0)
& rS(vd1386,X0,vd1391)
& rpoint(X0) ),
inference(flattening,[],[f2]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ! [X8] :
( ! [X9] :
( ! [X10] : X10 != vskolem1419(X9,X8,X0,X1,X2,X3,X4)
| vskolem1416(X8,X0,X1,X2,X3,X4) != X9 )
| X2 = X8
| vf(X1,X2) != vf(X1,X8)
| vf(X0,X2) != vf(X0,X8)
| ~ rS(X2,X8,X3)
| ~ rpoint(X8) )
| X3 != X4
| ~ 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,[],[f4]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( ! [X8] :
( ! [X9] :
( ! [X10] : X10 != vskolem1419(X9,X8,X0,X1,X2,X3,X4)
| vskolem1416(X8,X0,X1,X2,X3,X4) != X9 )
| X2 = X8
| vf(X1,X2) != vf(X1,X8)
| vf(X0,X2) != vf(X0,X8)
| ~ rS(X2,X8,X3)
| ~ rpoint(X8) )
| X3 != X4
| ~ 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,[],[f127]) ).
fof(f365,plain,
( vd1386 != sK1
& vf(vd1385,vd1386) = vf(vd1385,sK1)
& vf(vd1384,vd1386) = vf(vd1384,sK1)
& rS(vd1386,sK1,vd1391)
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f126]) ).
fof(f366,plain,
( vd1391 = vd1392
& ron(vd1385,vd1391)
& ron(vd1384,vd1391)
& rline(vd1392)
& vd1385 != vd1386
& vd1384 != vd1386
& vd1384 != vd1385
& vd1386 = sK2
& rpoint(sK2)
& vd1385 = sK3
& rpoint(sK3)
& vd1384 = sK4
& rpoint(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f3]) ).
fof(f367,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] : vskolem1419(X6,X5,X0,X1,X2,X3,X4) != X7
| vskolem1416(X5,X0,X1,X2,X3,X4) != X6 )
| X2 = X5
| vf(X1,X2) != vf(X1,X5)
| vf(X0,X2) != vf(X0,X5)
| ~ rS(X2,X5,X3)
| ~ rpoint(X5) )
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X8] :
( X2 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X1 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X0 != X10
| ~ rpoint(X10) ) ),
inference(rectify,[],[f128]) ).
fof(f451,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f365]) ).
fof(f452,plain,
rS(vd1386,sK1,vd1391),
inference(cnf_transformation,[],[f365]) ).
fof(f453,plain,
vf(vd1384,vd1386) = vf(vd1384,sK1),
inference(cnf_transformation,[],[f365]) ).
fof(f454,plain,
vf(vd1385,vd1386) = vf(vd1385,sK1),
inference(cnf_transformation,[],[f365]) ).
fof(f455,plain,
vd1386 != sK1,
inference(cnf_transformation,[],[f365]) ).
fof(f456,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f366]) ).
fof(f457,plain,
vd1384 = sK4,
inference(cnf_transformation,[],[f366]) ).
fof(f458,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f366]) ).
fof(f459,plain,
vd1385 = sK3,
inference(cnf_transformation,[],[f366]) ).
fof(f460,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f366]) ).
fof(f461,plain,
vd1386 = sK2,
inference(cnf_transformation,[],[f366]) ).
fof(f462,plain,
vd1385 != vd1384,
inference(cnf_transformation,[],[f366]) ).
fof(f463,plain,
vd1386 != vd1384,
inference(cnf_transformation,[],[f366]) ).
fof(f464,plain,
vd1386 != vd1385,
inference(cnf_transformation,[],[f366]) ).
fof(f465,plain,
rline(vd1392),
inference(cnf_transformation,[],[f366]) ).
fof(f466,plain,
ron(vd1384,vd1391),
inference(cnf_transformation,[],[f366]) ).
fof(f467,plain,
ron(vd1385,vd1391),
inference(cnf_transformation,[],[f366]) ).
fof(f468,plain,
vd1391 = vd1392,
inference(cnf_transformation,[],[f366]) ).
fof(f469,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( vskolem1419(X6,X5,X0,X1,X2,X3,X4) != X7
| vskolem1416(X5,X0,X1,X2,X3,X4) != X6
| X2 = X5
| vf(X1,X2) != vf(X1,X5)
| vf(X0,X2) != vf(X0,X5)
| ~ rS(X2,X5,X3)
| ~ rpoint(X5)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X0 != X10
| ~ rpoint(X10) ),
inference(cnf_transformation,[],[f367]) ).
fof(f740,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f455,f461]) ).
fof(f741,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f454,f459,f461,f459]) ).
fof(f742,plain,
vf(sK4,sK2) = vf(sK4,sK1),
inference(definition_unfolding,[],[f453,f457,f461,f457]) ).
fof(f743,plain,
rS(sK2,sK1,vd1392),
inference(definition_unfolding,[],[f452,f461,f468]) ).
fof(f744,plain,
ron(sK3,vd1392),
inference(definition_unfolding,[],[f467,f459,f468]) ).
fof(f745,plain,
ron(sK4,vd1392),
inference(definition_unfolding,[],[f466,f457,f468]) ).
fof(f746,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f464,f461,f459]) ).
fof(f747,plain,
sK2 != sK4,
inference(definition_unfolding,[],[f463,f461,f457]) ).
fof(f748,plain,
sK3 != sK4,
inference(definition_unfolding,[],[f462,f459,f457]) ).
fof(f761,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X4,X5] :
( vskolem1416(X5,X0,X1,X2,X3,X4) != X6
| X2 = X5
| vf(X1,X2) != vf(X1,X5)
| vf(X0,X2) != vf(X0,X5)
| ~ rS(X2,X5,X3)
| ~ rpoint(X5)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X0 != X10
| ~ rpoint(X10) ),
inference(equality_resolution,[],[f469]) ).
fof(f762,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4,X5] :
( X2 = X5
| vf(X1,X2) != vf(X1,X5)
| vf(X0,X2) != vf(X0,X5)
| ~ rS(X2,X5,X3)
| ~ rpoint(X5)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X0 != X10
| ~ rpoint(X10) ),
inference(equality_resolution,[],[f761]) ).
fof(f763,plain,
! [X2,X10,X0,X1,X8,X9,X4,X5] :
( X2 = X5
| vf(X1,X2) != vf(X1,X5)
| vf(X0,X2) != vf(X0,X5)
| ~ rS(X2,X5,X4)
| ~ rpoint(X5)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X0 != X10
| ~ rpoint(X10) ),
inference(equality_resolution,[],[f762]) ).
fof(f764,plain,
! [X10,X0,X1,X8,X9,X4,X5] :
( X5 = X8
| vf(X1,X8) != vf(X1,X5)
| vf(X0,X8) != vf(X0,X5)
| ~ rS(X8,X5,X4)
| ~ rpoint(X5)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X8
| X0 = X8
| X0 = X1
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X0 != X10
| ~ rpoint(X10) ),
inference(equality_resolution,[],[f763]) ).
fof(f765,plain,
! [X10,X0,X8,X9,X4,X5] :
( X5 = X8
| vf(X9,X8) != vf(X9,X5)
| vf(X0,X8) != vf(X0,X5)
| ~ rS(X8,X5,X4)
| ~ rpoint(X5)
| ~ ron(X9,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X8 = X9
| X0 = X8
| X0 = X9
| ~ rpoint(X8)
| ~ rpoint(X9)
| X0 != X10
| ~ rpoint(X10) ),
inference(equality_resolution,[],[f764]) ).
fof(f766,plain,
! [X10,X8,X9,X4,X5] :
( ~ rline(X4)
| vf(X9,X8) != vf(X9,X5)
| vf(X10,X8) != vf(X10,X5)
| ~ rS(X8,X5,X4)
| ~ rpoint(X5)
| ~ ron(X9,X4)
| ~ ron(X10,X4)
| X5 = X8
| X8 = X9
| X8 = X10
| X9 = X10
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10) ),
inference(equality_resolution,[],[f765]) ).
fof(f1663,plain,
! [X2,X3,X0,X1] :
( ~ rS(X1,X2,vd1392)
| vf(X3,X2) != vf(X3,X1)
| vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X2)
| ~ ron(X0,vd1392)
| ~ ron(X3,vd1392)
| X1 = X2
| X0 = X1
| X1 = X3
| X0 = X3
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X3) ),
inference(resolution,[],[f465,f766]) ).
fof(f1664,plain,
! [X0,X1] :
( vf(X0,sK2) != vf(X0,sK1)
| vf(X1,sK2) != vf(X1,sK1)
| ~ rpoint(sK1)
| ~ ron(X1,vd1392)
| ~ ron(X0,vd1392)
| sK1 = sK2
| sK2 = X1
| sK2 = X0
| X0 = X1
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1663,f743]) ).
fof(f1665,plain,
! [X0,X1] :
( vf(X0,sK2) != vf(X0,sK1)
| vf(X1,sK2) != vf(X1,sK1)
| ~ ron(X1,vd1392)
| ~ ron(X0,vd1392)
| sK1 = sK2
| sK2 = X1
| sK2 = X0
| X0 = X1
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1664,f451]) ).
fof(f1666,plain,
! [X0,X1] :
( vf(X0,sK2) != vf(X0,sK1)
| vf(X1,sK2) != vf(X1,sK1)
| ~ ron(X1,vd1392)
| ~ ron(X0,vd1392)
| sK2 = X1
| sK2 = X0
| X0 = X1
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1665,f740]) ).
fof(f1667,plain,
! [X0,X1] :
( vf(X0,sK2) != vf(X0,sK1)
| vf(X1,sK2) != vf(X1,sK1)
| ~ ron(X1,vd1392)
| ~ ron(X0,vd1392)
| sK2 = X1
| sK2 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1666,f460]) ).
fof(f1669,plain,
! [X0] :
( vf(sK4,sK2) != vf(sK4,sK2)
| vf(X0,sK2) != vf(X0,sK1)
| ~ ron(X0,vd1392)
| ~ ron(sK4,vd1392)
| sK2 = X0
| sK2 = sK4
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(superposition,[],[f1667,f742]) ).
fof(f1670,plain,
! [X0] :
( vf(X0,sK2) != vf(X0,sK1)
| ~ ron(X0,vd1392)
| ~ ron(sK4,vd1392)
| sK2 = X0
| sK2 = sK4
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(trivial_inequality_removal,[],[f1669]) ).
fof(f1672,plain,
! [X0] :
( vf(X0,sK2) != vf(X0,sK1)
| ~ ron(X0,vd1392)
| sK2 = X0
| sK2 = sK4
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f1670,f745]) ).
fof(f1674,plain,
! [X0] :
( vf(X0,sK2) != vf(X0,sK1)
| ~ ron(X0,vd1392)
| sK2 = X0
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f1672,f747]) ).
fof(f1676,plain,
! [X0] :
( vf(X0,sK2) != vf(X0,sK1)
| ~ ron(X0,vd1392)
| sK2 = X0
| sK4 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1674,f456]) ).
fof(f1678,plain,
( vf(sK3,sK2) != vf(sK3,sK2)
| ~ ron(sK3,vd1392)
| sK2 = sK3
| sK3 = sK4
| ~ rpoint(sK3) ),
inference(superposition,[],[f1676,f741]) ).
fof(f1679,plain,
( ~ ron(sK3,vd1392)
| sK2 = sK3
| sK3 = sK4
| ~ rpoint(sK3) ),
inference(trivial_inequality_removal,[],[f1678]) ).
fof(f1680,plain,
( sK2 = sK3
| sK3 = sK4
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1679,f744]) ).
fof(f1681,plain,
( sK3 = sK4
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1680,f746]) ).
fof(f1682,plain,
~ rpoint(sK3),
inference(forward_subsumption_resolution,[],[f1681,f748]) ).
fof(f1683,plain,
$false,
inference(forward_subsumption_resolution,[],[f1682,f458]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO340+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n015.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 08:12:00 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.05/1.62 % (1332559)Detected formulas, will run a generic FOF schedule.
% 4.05/1.62 % (1332565)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=2394863638:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.05/1.62 % (1332564)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=4115789668:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.05/1.62 % (1332567)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=514735968:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.05/1.62 % (1332570)dis-21_1_sil=8000:lcm=predicate:random_seed=1818514386:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.05/1.62 % (1332568)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3320199898:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.05/1.62 % (1332566)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=2027786443:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.05/1.62 % (1332567)Refutation not found, incomplete strategy
% 4.05/1.62 % (1332567)------------------------------
% 4.05/1.62 % (1332567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.62 % (1332567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.62 % (1332567)CaDiCaL version: 2.1.3
% 4.05/1.62 % (1332567)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.62 % (1332567)Time elapsed: 0.004 s
% 4.05/1.62 % (1332567)Peak memory usage: 88 MB
% 4.05/1.62 % (1332567)Instructions burned: 3 (million)
% 4.05/1.62 % (1332569)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3456363776:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.05/1.62 % (1332568)Instruction limit reached!
% 4.05/1.62 % (1332568)------------------------------
% 4.05/1.62 % (1332568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.62 % (1332568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.62 % (1332568)CaDiCaL version: 2.1.3
% 4.05/1.62 % (1332568)Termination reason: Instruction limit
% 4.05/1.62 % (1332568)Termination phase: Saturation
% 4.05/1.62 % (1332568)Time elapsed: 0.065 s
% 4.05/1.62 % (1332568)Peak memory usage: 88 MB
% 4.05/1.62 % (1332568)Instructions burned: 119 (million)
% 4.05/1.62 % (1332570)Instruction limit reached!
% 4.05/1.62 % (1332570)------------------------------
% 4.05/1.62 % (1332570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.62 % (1332570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.62 % (1332570)CaDiCaL version: 2.1.3
% 4.05/1.62 % (1332570)Termination reason: Instruction limit
% 4.05/1.62 % (1332570)Termination phase: Saturation
% 4.05/1.62 % (1332570)Time elapsed: 0.069 s
% 4.05/1.62 % (1332570)Peak memory usage: 90 MB
% 4.05/1.62 % (1332570)Instructions burned: 130 (million)
% 4.05/1.62 % (1332569)Instruction limit reached!
% 4.05/1.62 % (1332569)------------------------------
% 4.05/1.62 % (1332569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.62 % (1332569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.62 % (1332569)CaDiCaL version: 2.1.3
% 4.05/1.62 % (1332569)Termination reason: Instruction limit
% 4.05/1.62 % (1332569)Termination phase: Saturation
% 4.05/1.62 % (1332569)Time elapsed: 0.088 s
% 4.05/1.62 % (1332569)Peak memory usage: 90 MB
% 4.05/1.62 % (1332569)Instructions burned: 139 (million)
% 4.05/1.62 % (1332579)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1194269187:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.05/1.62 % (1332578)lrs+10_1_sil=8000:sp=occurrence:random_seed=2090370190:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.05/1.62 % (1332567)------------------------------
% 4.05/1.62 % (1332567)------------------------------
% 4.05/1.62 % (1332580)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4009419250:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.05/1.62 % (1332579)Instruction limit reached!
% 4.05/1.62 % (1332579)------------------------------
% 4.05/1.62 % (1332579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.62 % (1332579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.62 % (1332579)CaDiCaL version: 2.1.3
% 4.05/1.62 % (1332579)Termination reason: Instruction limit
% 4.05/1.62 % (1332579)Termination phase: Saturation
% 4.05/1.62 % (1332579)Time elapsed: 0.071 s
% 4.05/1.62 % (1332579)Peak memory usage: 91 MB
% 4.05/1.62 % (1332579)Instructions burned: 157 (million)
% 4.05/1.62 % (1332565)First to succeed.
% 4.05/1.62 % (1332565)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1332559"
% 4.05/1.62 % (1332578)Instruction limit reached!
% 4.05/1.62 % (1332578)------------------------------
% 4.05/1.62 % (1332578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.62 % (1332578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.62 % (1332578)CaDiCaL version: 2.1.3
% 4.05/1.62 % (1332578)Termination reason: Instruction limit
% 4.05/1.62 % (1332578)Termination phase: Saturation
% 4.05/1.62 % (1332578)Time elapsed: 0.159 s
% 4.05/1.62 % (1332578)Peak memory usage: 91 MB
% 4.05/1.62 % (1332578)Instructions burned: 287 (million)
% 4.05/1.62 % (1332583)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=329086748:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.05/1.62 % (1332585)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4079108132:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.05/1.62 % (1332580)Instruction limit reached!
% 4.05/1.62 % (1332580)------------------------------
% 4.05/1.62 % (1332580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.62 % (1332580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.62 % (1332580)CaDiCaL version: 2.1.3
% 4.05/1.62 % (1332580)Termination reason: Instruction limit
% 4.05/1.62 % (1332580)Termination phase: Saturation
% 4.05/1.62 % (1332580)Time elapsed: 0.191 s
% 4.05/1.62 % (1332580)Peak memory usage: 93 MB
% 4.05/1.62 % (1332580)Instructions burned: 326 (million)
% 4.05/1.62 % (1332565)Refutation found. Thanks to Tanya!
% 4.05/1.62 % SZS status Theorem for theBenchmark
% 4.05/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.71/1.82 % (1332565)------------------------------
% 5.71/1.82 % (1332565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.82 % (1332565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.82 % (1332565)CaDiCaL version: 2.1.3
% 5.71/1.82 % (1332565)Termination reason: Refutation
% 5.71/1.82 % (1332565)Time elapsed: 0.421 s
% 5.71/1.82 % (1332565)Peak memory usage: 135 MB
% 5.71/1.82 % (1332565)Instructions burned: 1081 (million)
% 5.71/1.82 % (1332565)------------------------------
% 5.71/1.82 % (1332565)------------------------------
% 5.71/1.82 % (1332559)Success in time 0.717 s
% 5.71/1.82 % Vampire exiting
%------------------------------------------------------------------------------