%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU190+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:47:39 PM UTC 2026
% Result : Theorem 3.24s 1.38s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 6 unt; 0 def)
% Number of atoms : 271 ( 92 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 340 ( 128 ~; 155 |; 42 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-2 aty)
% Number of variables : 163 ( 140 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( relation(X1)
=> ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f14,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f34,conjecture,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f38,plain,
? [X0] :
( relation_dom(identity_relation(X0)) != X0
| relation_rng(identity_relation(X0)) != X0 ),
inference(ennf_transformation,[],[f35]) ).
fof(f40,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f53,plain,
( sK0 != relation_dom(identity_relation(sK0))
| sK0 != relation_rng(identity_relation(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f38]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ( ( ~ in(sK1(X0,X1),X0)
| sK1(X0,X1) != sK2(X0,X1)
| ~ in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X1) )
& ( ( in(sK1(X0,X1),X0)
& sK1(X0,X1) = sK2(X0,X1) )
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f56]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f59]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK6(X0,X1)),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0,X1)),skolemize(X4,sK7(X0,X1)),skolemize(X7,sK8(X0,X5))],[f62]) ).
fof(f70,plain,
( sK0 != relation_rng(identity_relation(sK0))
| sK0 != relation_dom(identity_relation(sK0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f72,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f73,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f74,plain,
! [X0,X1,X4,X5] :
( in(X4,X0)
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f75,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f84,plain,
! [X0,X1] :
( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| relation_dom(X0) = X1
| in(sK3(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X3,X0,X1] :
( ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| relation_dom(X0) = X1
| ~ in(sK3(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f91,plain,
! [X0,X1] :
( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
| relation_rng(X0) = X1
| in(sK6(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f92,plain,
! [X3,X0,X1] :
( ~ in(ordered_pair(X3,sK6(X0,X1)),X0)
| relation_rng(X0) = X1
| ~ in(sK6(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f105,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,X5),X1)
| ~ in(X5,X0)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(equality_resolution,[],[f75]) ).
fof(f106,plain,
! [X0,X5] :
( in(ordered_pair(X5,X5),identity_relation(X0))
| ~ in(X5,X0)
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X0,X4,X5] :
( in(X4,X0)
| ~ in(ordered_pair(X4,X5),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f74]) ).
fof(f108,plain,
! [X0,X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X4,X5),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f73]) ).
fof(f116,plain,
! [X0,X5] :
( in(ordered_pair(X5,X5),identity_relation(X0))
| ~ in(X5,X0) ),
inference(forward_subsumption_resolution,[],[f106,f72]) ).
fof(f128,plain,
! [X0,X4,X5] :
( ~ in(ordered_pair(X4,X5),identity_relation(X0))
| in(X4,X0) ),
inference(forward_subsumption_resolution,[],[f107,f72]) ).
fof(f133,plain,
! [X0,X4,X5] :
( ~ in(ordered_pair(X4,X5),identity_relation(X0))
| X4 = X5 ),
inference(forward_subsumption_resolution,[],[f108,f72]) ).
fof(f195,plain,
! [X0,X1] :
( relation_dom(identity_relation(X0)) = X1
| ~ in(sK3(identity_relation(X0),X1),X1)
| ~ relation(identity_relation(X0))
| ~ in(sK3(identity_relation(X0),X1),X0) ),
inference(resolution,[],[f85,f116]) ).
fof(f200,plain,
! [X0,X1] :
( ~ in(sK3(identity_relation(X0),X1),X1)
| relation_dom(identity_relation(X0)) = X1
| ~ in(sK3(identity_relation(X0),X1),X0) ),
inference(forward_subsumption_resolution,[],[f195,f72]) ).
fof(f204,plain,
! [X0,X1] :
( relation_rng(identity_relation(X0)) = X1
| ~ in(sK6(identity_relation(X0),X1),X1)
| ~ relation(identity_relation(X0))
| ~ in(sK6(identity_relation(X0),X1),X0) ),
inference(resolution,[],[f92,f116]) ).
fof(f209,plain,
! [X0,X1] :
( ~ in(sK6(identity_relation(X0),X1),X1)
| relation_rng(identity_relation(X0)) = X1
| ~ in(sK6(identity_relation(X0),X1),X0) ),
inference(forward_subsumption_resolution,[],[f204,f72]) ).
fof(f244,plain,
! [X0,X1] :
( relation_dom(identity_relation(X0)) = X1
| in(sK3(identity_relation(X0),X1),X1)
| ~ relation(identity_relation(X0))
| in(sK3(identity_relation(X0),X1),X0) ),
inference(resolution,[],[f84,f128]) ).
fof(f260,plain,
! [X0,X1] :
( in(sK3(identity_relation(X0),X1),X1)
| relation_dom(identity_relation(X0)) = X1
| in(sK3(identity_relation(X0),X1),X0) ),
inference(forward_subsumption_resolution,[],[f244,f72]) ).
fof(f269,plain,
! [X0,X1] :
( relation_rng(identity_relation(X0)) = X1
| in(sK6(identity_relation(X0),X1),X1)
| ~ relation(identity_relation(X0))
| sK6(identity_relation(X0),X1) = sK7(identity_relation(X0),X1) ),
inference(resolution,[],[f91,f133]) ).
fof(f270,plain,
! [X0,X1] :
( relation_rng(identity_relation(X0)) = X1
| in(sK6(identity_relation(X0),X1),X1)
| ~ relation(identity_relation(X0))
| in(sK7(identity_relation(X0),X1),X0) ),
inference(resolution,[],[f91,f128]) ).
fof(f286,plain,
! [X0,X1] :
( in(sK7(identity_relation(X0),X1),X0)
| in(sK6(identity_relation(X0),X1),X1)
| relation_rng(identity_relation(X0)) = X1 ),
inference(forward_subsumption_resolution,[],[f270,f72]) ).
fof(f287,plain,
! [X0,X1] :
( sK6(identity_relation(X0),X1) = sK7(identity_relation(X0),X1)
| in(sK6(identity_relation(X0),X1),X1)
| relation_rng(identity_relation(X0)) = X1 ),
inference(forward_subsumption_resolution,[],[f269,f72]) ).
fof(f884,plain,
! [X0] :
( ~ in(sK3(identity_relation(X0),X0),X0)
| relation_dom(identity_relation(X0)) = X0 ),
inference(factoring,[],[f200]) ).
fof(f1010,plain,
! [X0] :
( ~ in(sK6(identity_relation(X0),X0),X0)
| relation_rng(identity_relation(X0)) = X0 ),
inference(factoring,[],[f209]) ).
fof(f2912,plain,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
| relation_dom(identity_relation(X0)) = X0
| in(sK3(identity_relation(X0),X0),X0) ),
inference(resolution,[],[f884,f260]) ).
fof(f2924,plain,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
| in(sK3(identity_relation(X0),X0),X0) ),
inference(duplicate_literal_removal,[],[f2912]) ).
fof(f2926,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(forward_subsumption_resolution,[],[f2924,f884]) ).
fof(f3024,plain,
! [X0] :
( ~ in(sK7(identity_relation(X0),X0),X0)
| relation_rng(identity_relation(X0)) = X0
| in(sK6(identity_relation(X0),X0),X0)
| relation_rng(identity_relation(X0)) = X0 ),
inference(superposition,[],[f1010,f287]) ).
fof(f3025,plain,
! [X0] :
( ~ in(sK7(identity_relation(X0),X0),X0)
| relation_rng(identity_relation(X0)) = X0
| in(sK6(identity_relation(X0),X0),X0) ),
inference(duplicate_literal_removal,[],[f3024]) ).
fof(f3027,plain,
! [X0] :
( relation_rng(identity_relation(X0)) = X0
| in(sK6(identity_relation(X0),X0),X0) ),
inference(forward_subsumption_resolution,[],[f3025,f286]) ).
fof(f3031,plain,
! [X0] : relation_rng(identity_relation(X0)) = X0,
inference(forward_subsumption_resolution,[],[f3027,f1010]) ).
fof(f3251,plain,
( sK0 != sK0
| sK0 != relation_dom(identity_relation(sK0)) ),
inference(superposition,[],[f70,f3031]) ).
fof(f3283,plain,
sK0 != relation_dom(identity_relation(sK0)),
inference(trivial_inequality_removal,[],[f3251]) ).
fof(f3295,plain,
$false,
inference(forward_subsumption_resolution,[],[f3283,f2926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU190+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n006.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 03:57:55 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.24/1.38 % (3562409)Detected formulas, will run a generic FOF schedule.
% 3.24/1.38 % (3562420)dis-21_1_sil=8000:lcm=predicate:random_seed=1969194736: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)
% 3.24/1.38 % (3562418)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1773692959:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.24/1.38 % (3562417)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=161715175:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.24/1.38 % (3562414)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=2372436470:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.24/1.38 % (3562419)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1161878599:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.24/1.38 % (3562416)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=1779830072:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.24/1.38 % (3562415)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=2213649138:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.24/1.38 % (3562417)Refutation not found, incomplete strategy
% 3.24/1.38 % (3562417)------------------------------
% 3.24/1.38 % (3562417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.38 % (3562417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.38 % (3562417)CaDiCaL version: 2.1.3
% 3.24/1.38 % (3562417)Termination reason: Refutation not found, incomplete strategy
% 3.24/1.38 % (3562417)Time elapsed: 0.002 s
% 3.24/1.38 % (3562417)Peak memory usage: 88 MB
% 3.24/1.38 % (3562417)Instructions burned: 2 (million)
% 3.24/1.38 % (3562420)Instruction limit reached!
% 3.24/1.38 % (3562420)------------------------------
% 3.24/1.38 % (3562420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.38 % (3562420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.38 % (3562420)CaDiCaL version: 2.1.3
% 3.24/1.38 % (3562420)Termination reason: Instruction limit
% 3.24/1.38 % (3562420)Termination phase: Saturation
% 3.24/1.38 % (3562420)Time elapsed: 0.039 s
% 3.24/1.38 % (3562420)Peak memory usage: 90 MB
% 3.24/1.38 % (3562420)Instructions burned: 130 (million)
% 3.24/1.38 % (3562418)First to succeed.
% 3.24/1.38 % (3562418)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3562409"
% 3.24/1.38 % (3562419)Instruction limit reached!
% 3.24/1.38 % (3562419)------------------------------
% 3.24/1.38 % (3562419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.38 % (3562419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.38 % (3562419)CaDiCaL version: 2.1.3
% 3.24/1.38 % (3562419)Termination reason: Instruction limit
% 3.24/1.38 % (3562419)Termination phase: Saturation
% 3.24/1.38 % (3562419)Time elapsed: 0.086 s
% 3.24/1.38 % (3562419)Peak memory usage: 89 MB
% 3.24/1.38 % (3562419)Instructions burned: 141 (million)
% 3.24/1.38 % (3562428)lrs+10_1_sil=8000:sp=occurrence:random_seed=4287944066:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.24/1.38 % (3562428)Instruction limit reached!
% 3.24/1.38 % (3562428)------------------------------
% 3.24/1.38 % (3562428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.38 % (3562428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.38 % (3562428)CaDiCaL version: 2.1.3
% 3.24/1.38 % (3562428)Termination reason: Instruction limit
% 3.24/1.38 % (3562428)Termination phase: Saturation
% 3.24/1.38 % (3562428)Time elapsed: 0.083 s
% 3.24/1.38 % (3562428)Peak memory usage: 90 MB
% 3.24/1.38 % (3562428)Instructions burned: 287 (million)
% 3.24/1.38 % (3562417)------------------------------
% 3.24/1.38 % (3562417)------------------------------
% 3.24/1.38 % (3562429)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2022375642:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.24/1.38 % (3562418)Refutation found. Thanks to Tanya!
% 3.24/1.38 % SZS status Theorem for theBenchmark
% 3.24/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.48 % (3562418)------------------------------
% 4.04/1.48 % (3562418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.48 % (3562418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.48 % (3562418)CaDiCaL version: 2.1.3
% 4.04/1.48 % (3562418)Termination reason: Refutation
% 4.04/1.48 % (3562418)Time elapsed: 0.065 s
% 4.04/1.48 % (3562418)Peak memory usage: 89 MB
% 4.04/1.48 % (3562418)Instructions burned: 112 (million)
% 4.04/1.48 % (3562418)------------------------------
% 4.04/1.48 % (3562418)------------------------------
% 4.04/1.48 % (3562409)Success in time 0.504 s
% 4.04/1.48 % Vampire exiting
%------------------------------------------------------------------------------