%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU430+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:48:59 PM UTC 2026
% Result : Theorem 2.58s 1.27s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 8 unt; 4 def)
% Number of atoms : 237 ( 70 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 266 ( 104 ~; 115 |; 32 &)
% ( 9 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 73 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( k5_setfam_1(X0,X1) = k1_xboole_0
<=> ! [X2] :
( r2_hidden(X2,X1)
=> X2 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( k5_setfam_1(X0,X1) = k1_xboole_0
<=> ! [X2] :
( r2_hidden(X2,X1)
=> X2 = k1_xboole_0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f6,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f21,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f41,plain,
? [X0,X1] :
( ( k5_setfam_1(X0,X1) = k1_xboole_0
<~> ! [X2] :
( X2 = k1_xboole_0
| ~ r2_hidden(X2,X1) ) )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f45,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f56,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) != k1_xboole_0 )
& ( ! [X2] :
( X2 = k1_xboole_0
| ~ r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(nnf_transformation,[],[f41]) ).
fof(f57,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) != k1_xboole_0 )
& ( ! [X2] :
( X2 = k1_xboole_0
| ~ r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) != k1_xboole_0 )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
( ( ( k1_xboole_0 != sK2
& r2_hidden(sK2,sK1) )
| k1_xboole_0 != k5_setfam_1(sK0,sK1) )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK1) )
| k1_xboole_0 = k5_setfam_1(sK0,sK1) )
& m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f58]) ).
fof(f60,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f61,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( X0 = k1_xboole_0
| r2_hidden(sK3(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f64,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X2,X4)
& r2_hidden(X4,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ? [X7] :
( r2_hidden(X5,X7)
& r2_hidden(X7,X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK4(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK4(X0,X1),X1) )
& ( ( r2_hidden(sK4(X0,X1),sK5(X0,X1))
& r2_hidden(sK5(X0,X1),X0) )
| r2_hidden(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK6(X0,X5))
& r2_hidden(sK6(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f64]) ).
fof(f71,plain,
m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f59]) ).
fof(f72,plain,
! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK1)
| k1_xboole_0 = k5_setfam_1(sK0,sK1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f73,plain,
( r2_hidden(sK2,sK1)
| k1_xboole_0 != k5_setfam_1(sK0,sK1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f74,plain,
( k1_xboole_0 != sK2
| k1_xboole_0 != k5_setfam_1(sK0,sK1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f76,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f77,plain,
! [X0] :
( r2_hidden(sK3(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f78,plain,
! [X0,X1,X5] :
( r2_hidden(sK6(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f79,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK6(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f80,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f95,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f45]) ).
fof(f105,plain,
! [X2] : ~ r2_hidden(X2,k1_xboole_0),
inference(equality_resolution,[],[f76]) ).
fof(f106,plain,
! [X0,X6,X5] :
( ~ r2_hidden(X5,X6)
| r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f80]) ).
fof(f107,plain,
! [X0,X5] :
( ~ r2_hidden(X5,k3_tarski(X0))
| r2_hidden(X5,sK6(X0,X5)) ),
inference(equality_resolution,[],[f79]) ).
fof(f108,plain,
! [X0,X5] :
( ~ r2_hidden(X5,k3_tarski(X0))
| r2_hidden(sK6(X0,X5),X0) ),
inference(equality_resolution,[],[f78]) ).
fof(f110,definition,
( spl12_1
<=> k1_xboole_0 = k5_setfam_1(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f111,plain,
( k1_xboole_0 != k5_setfam_1(sK0,sK1)
| spl12_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( k1_xboole_0 = k5_setfam_1(sK0,sK1)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,definition,
( spl12_2
<=> ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f115,plain,
( ! [X3] :
( ~ r2_hidden(X3,sK1)
| k1_xboole_0 = X3 )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f72,f114,f110]) ).
fof(f118,definition,
( spl12_3
<=> r2_hidden(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f120,plain,
( r2_hidden(sK2,sK1)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( ~ spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f73,f118,f110]) ).
fof(f123,definition,
( spl12_4
<=> k1_xboole_0 = sK2 ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f125,plain,
( k1_xboole_0 != sK2
| spl12_4 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( ~ spl12_1
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f74,f123,f110]) ).
fof(f170,plain,
! [X0] :
( r2_hidden(sK3(k3_tarski(X0)),sK6(X0,sK3(k3_tarski(X0))))
| k1_xboole_0 = k3_tarski(X0) ),
inference(resolution,[],[f107,f77]) ).
fof(f172,plain,
! [X0] :
( k1_xboole_0 = k3_tarski(X0)
| r2_hidden(sK6(X0,sK3(k3_tarski(X0))),X0) ),
inference(resolution,[],[f108,f77]) ).
fof(f178,plain,
! [X0,X1] :
( r2_hidden(sK3(X0),k3_tarski(X1))
| ~ r2_hidden(X0,X1)
| k1_xboole_0 = X0 ),
inference(resolution,[],[f106,f77]) ).
fof(f184,plain,
( k1_xboole_0 != k3_tarski(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| spl12_1 ),
inference(superposition,[],[f111,f95]) ).
fof(f189,plain,
( k1_xboole_0 != k3_tarski(sK1)
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f184,f71]) ).
fof(f359,plain,
( k1_xboole_0 != k1_xboole_0
| r2_hidden(sK6(sK1,sK3(k3_tarski(sK1))),sK1)
| spl12_1 ),
inference(superposition,[],[f189,f172]) ).
fof(f360,plain,
( r2_hidden(sK6(sK1,sK3(k3_tarski(sK1))),sK1)
| spl12_1 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f361,plain,
( k1_xboole_0 = sK6(sK1,sK3(k3_tarski(sK1)))
| spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f360,f115]) ).
fof(f437,plain,
( r2_hidden(sK3(k3_tarski(sK1)),k1_xboole_0)
| k1_xboole_0 = k3_tarski(sK1)
| spl12_1
| ~ spl12_2 ),
inference(superposition,[],[f170,f361]) ).
fof(f438,plain,
( k1_xboole_0 = k3_tarski(sK1)
| spl12_1
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f437,f105]) ).
fof(f439,plain,
( $false
| spl12_1
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f438,f189]) ).
fof(f440,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f441,plain,
( k1_xboole_0 = sK2
| ~ spl12_2
| ~ spl12_3 ),
inference(resolution,[],[f120,f115]) ).
fof(f447,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f441,f125]) ).
fof(f448,plain,
( ~ spl12_2
| ~ spl12_3
| spl12_4 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f452,plain,
( k1_xboole_0 = k3_tarski(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ spl12_1 ),
inference(superposition,[],[f95,f112]) ).
fof(f454,plain,
( k1_xboole_0 = k3_tarski(sK1)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f452,f71]) ).
fof(f456,plain,
( ! [X0] :
( r2_hidden(sK3(X0),k1_xboole_0)
| ~ r2_hidden(X0,sK1)
| k1_xboole_0 = X0 )
| ~ spl12_1 ),
inference(superposition,[],[f178,f454]) ).
fof(f460,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| k1_xboole_0 = X0 )
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f456,f105]) ).
fof(f461,plain,
( spl12_2
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f460,f110,f114]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f116]) ).
cnf(s2,plain,
( ~ spl12_1
| spl12_3 ),
inference(sat_conversion,[],[f121]) ).
cnf(s3,plain,
( ~ spl12_1
| ~ spl12_4 ),
inference(sat_conversion,[],[f126]) ).
cnf(s13,plain,
( spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f440]) ).
cnf(s14,plain,
( ~ spl12_2
| ~ spl12_3
| spl12_4 ),
inference(sat_conversion,[],[f448]) ).
cnf(s15,plain,
( ~ spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f461]) ).
cnf(s16,plain,
spl12_1,
inference(rat,[],[s1,s13]) ).
cnf(s17,plain,
spl12_2,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
~ spl12_4,
inference(rat,[],[s3,s16]) ).
cnf(s19,plain,
spl12_3,
inference(rat,[],[s2,s16]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s14,s17,s18,s19]) ).
fof(f462,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU430+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.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 : Mon Sep 28 05:23:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 2.58/1.27 % (2700780)Detected formulas, will run a generic FOF schedule.
% 2.58/1.27 % (2700789)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2067453:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.58/1.27 % (2700790)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3033612552:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.58/1.27 % (2700788)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2702498790:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.58/1.27 % (2700787)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=2887300768:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.58/1.27 % (2700786)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=1258831408:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.58/1.27 % (2700785)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=3276203013:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.58/1.27 % (2700788)Refutation not found, incomplete strategy
% 2.58/1.27 % (2700788)------------------------------
% 2.58/1.27 % (2700788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.27 % (2700788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.27 % (2700788)CaDiCaL version: 2.1.3
% 2.58/1.27 % (2700788)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.27 % (2700788)Time elapsed: 0.004 s
% 2.58/1.27 % (2700788)Peak memory usage: 88 MB
% 2.58/1.27 % (2700788)Instructions burned: 4 (million)
% 2.58/1.27 % (2700789)Instruction limit reached!
% 2.58/1.27 % (2700789)------------------------------
% 2.58/1.27 % (2700789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.27 % (2700789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.27 % (2700789)CaDiCaL version: 2.1.3
% 2.58/1.27 % (2700789)Termination reason: Instruction limit
% 2.58/1.27 % (2700789)Termination phase: Saturation
% 2.58/1.27 % (2700789)Time elapsed: 0.042 s
% 2.58/1.27 % (2700789)Peak memory usage: 88 MB
% 2.58/1.27 % (2700789)Instructions burned: 127 (million)
% 2.58/1.27 % (2700791)dis-21_1_sil=8000:lcm=predicate:random_seed=790606509: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)
% 2.58/1.27 % (2700790)First to succeed.
% 2.58/1.27 % (2700790)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2700780"
% 2.58/1.27 % (2700798)lrs+10_1_sil=8000:sp=occurrence:random_seed=3816233554:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.58/1.27 % (2700791)Instruction limit reached!
% 2.58/1.27 % (2700791)------------------------------
% 2.58/1.27 % (2700791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.27 % (2700791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.27 % (2700791)CaDiCaL version: 2.1.3
% 2.58/1.27 % (2700791)Termination reason: Instruction limit
% 2.58/1.27 % (2700791)Termination phase: Saturation
% 2.58/1.27 % (2700791)Time elapsed: 0.084 s
% 2.58/1.27 % (2700791)Peak memory usage: 89 MB
% 2.58/1.27 % (2700791)Instructions burned: 130 (million)
% 2.58/1.27 % (2700798)Also succeeded, but the first one will report.
% 2.58/1.27 % (2700801)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1448981931:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.58/1.27 % (2700801)Also succeeded, but the first one will report.
% 2.58/1.27 % (2700788)------------------------------
% 2.58/1.27 % (2700788)------------------------------
% 2.58/1.27 % (2700790)Refutation found. Thanks to Tanya!
% 2.58/1.27 % SZS status Theorem for theBenchmark
% 2.58/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.36 % (2700790)------------------------------
% 3.41/1.36 % (2700790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.36 % (2700790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.36 % (2700790)CaDiCaL version: 2.1.3
% 3.41/1.36 % (2700790)Termination reason: Refutation
% 3.41/1.36 % (2700790)Time elapsed: 0.016 s
% 3.41/1.36 % (2700790)Peak memory usage: 89 MB
% 3.41/1.36 % (2700790)Instructions burned: 15 (million)
% 3.41/1.36 % (2700790)------------------------------
% 3.41/1.36 % (2700790)------------------------------
% 3.41/1.36 % (2700780)Success in time 0.415 s
% 3.41/1.36 % Vampire exiting
%------------------------------------------------------------------------------