%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU430+3 : 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 : n018.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 12.59s 3.75s
% Output : Refutation 12.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 7 unt; 4 def)
% Number of atoms : 169 ( 69 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 191 ( 81 ~; 71 |; 27 &)
% ( 6 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 34 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f669,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(f3853,axiom,
! [X0] :
( ~ ( ? [X1] :
( X1 != k1_xboole_0
& r2_hidden(X1,X0) )
& k3_tarski(X0) = k1_xboole_0 )
& ~ ( k3_tarski(X0) != k1_xboole_0
& ! [X1] :
~ ( X1 != k1_xboole_0
& r2_hidden(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_orders_1) ).
fof(f19101,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(f19102,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)],[f19101]) ).
fof(f19113,plain,
! [X0] :
( ~ ( ? [X1] :
( X1 != k1_xboole_0
& r2_hidden(X1,X0) )
& k3_tarski(X0) = k1_xboole_0 )
& ~ ( k3_tarski(X0) != k1_xboole_0
& ! [X2] :
~ ( k1_xboole_0 != X2
& r2_hidden(X2,X0) ) ) ),
inference(rectify,[],[f3853]) ).
fof(f19207,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,[],[f19102]) ).
fof(f19624,plain,
! [X0] :
( ( ! [X1] :
( k1_xboole_0 = X1
| ~ r2_hidden(X1,X0) )
| k3_tarski(X0) != k1_xboole_0 )
& ( k3_tarski(X0) = k1_xboole_0
| ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X0) ) ) ),
inference(ennf_transformation,[],[f19113]) ).
fof(f19644,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,[],[f669]) ).
fof(f19776,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k1_xboole_0 != k5_setfam_1(X0,X1) )
& ( ! [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,[],[f19207]) ).
fof(f19777,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k1_xboole_0 != k5_setfam_1(X0,X1) )
& ( ! [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,[],[f19776]) ).
fof(f19778,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k1_xboole_0 != k5_setfam_1(X0,X1) )
& ( ! [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,[],[f19777]) ).
fof(f19779,plain,
( ( ( k1_xboole_0 != sK9
& r2_hidden(sK9,sK8) )
| k1_xboole_0 != k5_setfam_1(sK7,sK8) )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK8) )
| k1_xboole_0 = k5_setfam_1(sK7,sK8) )
& m1_subset_1(sK8,k1_zfmisc_1(k1_zfmisc_1(sK7))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f19778]) ).
fof(f19955,plain,
! [X0] :
( ( ! [X1] :
( k1_xboole_0 = X1
| ~ r2_hidden(X1,X0) )
| k3_tarski(X0) != k1_xboole_0 )
& ( k3_tarski(X0) = k1_xboole_0
| ( k1_xboole_0 != sK137(X0)
& r2_hidden(sK137(X0),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK137]),skolemize(X2,sK137(X0))],[f19624]) ).
fof(f20070,plain,
m1_subset_1(sK8,k1_zfmisc_1(k1_zfmisc_1(sK7))),
inference(cnf_transformation,[],[f19779]) ).
fof(f20071,plain,
! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK8)
| k1_xboole_0 = k5_setfam_1(sK7,sK8) ),
inference(cnf_transformation,[],[f19779]) ).
fof(f20072,plain,
( r2_hidden(sK9,sK8)
| k1_xboole_0 != k5_setfam_1(sK7,sK8) ),
inference(cnf_transformation,[],[f19779]) ).
fof(f20073,plain,
( k1_xboole_0 != sK9
| k1_xboole_0 != k5_setfam_1(sK7,sK8) ),
inference(cnf_transformation,[],[f19779]) ).
fof(f20733,plain,
! [X0] :
( r2_hidden(sK137(X0),X0)
| k3_tarski(X0) = k1_xboole_0 ),
inference(cnf_transformation,[],[f19955]) ).
fof(f20734,plain,
! [X0] :
( k1_xboole_0 != sK137(X0)
| k3_tarski(X0) = k1_xboole_0 ),
inference(cnf_transformation,[],[f19955]) ).
fof(f20735,plain,
! [X0,X1] :
( k3_tarski(X0) != k1_xboole_0
| ~ r2_hidden(X1,X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f19955]) ).
fof(f20789,plain,
! [X0,X1] :
( k3_tarski(X1) = k5_setfam_1(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19644]) ).
fof(f21051,definition,
( spl177_1
<=> k1_xboole_0 = k5_setfam_1(sK7,sK8) ),
introduced(definition,[new_symbols(definition,[spl177_1])],[avatar_definition]) ).
fof(f21052,plain,
( k1_xboole_0 = k5_setfam_1(sK7,sK8)
| ~ spl177_1 ),
inference(avatar_component_clause,[],[f21051]) ).
fof(f21054,definition,
( spl177_2
<=> ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK8) ) ),
introduced(definition,[new_symbols(definition,[spl177_2])],[avatar_definition]) ).
fof(f21055,plain,
( ! [X3] :
( ~ r2_hidden(X3,sK8)
| k1_xboole_0 = X3 )
| ~ spl177_2 ),
inference(avatar_component_clause,[],[f21054]) ).
fof(f21056,plain,
( spl177_1
| spl177_2 ),
inference(avatar_split_clause,[],[f20071,f21054,f21051]) ).
fof(f21057,plain,
( k1_xboole_0 != k5_setfam_1(sK7,sK8)
| spl177_1 ),
inference(avatar_component_clause,[],[f21051]) ).
fof(f21059,definition,
( spl177_3
<=> r2_hidden(sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl177_3])],[avatar_definition]) ).
fof(f21060,plain,
( r2_hidden(sK9,sK8)
| ~ spl177_3 ),
inference(avatar_component_clause,[],[f21059]) ).
fof(f21061,plain,
( ~ spl177_1
| spl177_3 ),
inference(avatar_split_clause,[],[f20072,f21059,f21051]) ).
fof(f21063,definition,
( spl177_4
<=> k1_xboole_0 = sK9 ),
introduced(definition,[new_symbols(definition,[spl177_4])],[avatar_definition]) ).
fof(f21064,plain,
( k1_xboole_0 != sK9
| spl177_4 ),
inference(avatar_component_clause,[],[f21063]) ).
fof(f21065,plain,
( ~ spl177_1
| ~ spl177_4 ),
inference(avatar_split_clause,[],[f20073,f21063,f21051]) ).
fof(f21088,plain,
( k1_xboole_0 != k3_tarski(sK8)
| ~ m1_subset_1(sK8,k1_zfmisc_1(k1_zfmisc_1(sK7)))
| spl177_1 ),
inference(superposition,[],[f21057,f20789]) ).
fof(f21095,plain,
( k1_xboole_0 != k3_tarski(sK8)
| spl177_1 ),
inference(forward_subsumption_resolution,[],[f21088,f20070]) ).
fof(f21187,plain,
( k1_xboole_0 = sK137(sK8)
| k1_xboole_0 = k3_tarski(sK8)
| ~ spl177_2 ),
inference(resolution,[],[f21055,f20733]) ).
fof(f21230,plain,
( k1_xboole_0 = k3_tarski(sK8)
| ~ spl177_2 ),
inference(forward_subsumption_resolution,[],[f21187,f20734]) ).
fof(f21427,plain,
( k1_xboole_0 = k3_tarski(sK8)
| ~ m1_subset_1(sK8,k1_zfmisc_1(k1_zfmisc_1(sK7)))
| ~ spl177_1 ),
inference(superposition,[],[f20789,f21052]) ).
fof(f21431,plain,
( k1_xboole_0 = k3_tarski(sK8)
| ~ spl177_1 ),
inference(forward_subsumption_resolution,[],[f21427,f20070]) ).
fof(f21842,plain,
( $false
| spl177_1
| ~ spl177_2 ),
inference(forward_subsumption_resolution,[],[f21230,f21095]) ).
fof(f21843,plain,
( spl177_1
| ~ spl177_2 ),
inference(avatar_contradiction_clause,[],[f21842]) ).
fof(f21844,plain,
( k1_xboole_0 = sK9
| ~ spl177_2
| ~ spl177_3 ),
inference(resolution,[],[f21060,f21055]) ).
fof(f21851,plain,
( $false
| ~ spl177_2
| ~ spl177_3
| spl177_4 ),
inference(forward_subsumption_resolution,[],[f21844,f21064]) ).
fof(f21852,plain,
( ~ spl177_2
| ~ spl177_3
| spl177_4 ),
inference(avatar_contradiction_clause,[],[f21851]) ).
fof(f21924,plain,
( ! [X0] :
( k1_xboole_0 != k1_xboole_0
| ~ r2_hidden(X0,sK8)
| k1_xboole_0 = X0 )
| ~ spl177_1 ),
inference(superposition,[],[f20735,f21431]) ).
fof(f21946,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK8)
| k1_xboole_0 = X0 )
| ~ spl177_1 ),
inference(trivial_inequality_removal,[],[f21924]) ).
fof(f21974,plain,
( spl177_2
| ~ spl177_1 ),
inference(avatar_split_clause,[],[f21946,f21051,f21054]) ).
cnf(s1,plain,
( spl177_1
| spl177_2 ),
inference(sat_conversion,[],[f21056]) ).
cnf(s2,plain,
( ~ spl177_1
| spl177_3 ),
inference(sat_conversion,[],[f21061]) ).
cnf(s3,plain,
( ~ spl177_1
| ~ spl177_4 ),
inference(sat_conversion,[],[f21065]) ).
cnf(s133,plain,
( spl177_1
| ~ spl177_2 ),
inference(sat_conversion,[],[f21843]) ).
cnf(s134,plain,
( ~ spl177_2
| ~ spl177_3
| spl177_4 ),
inference(sat_conversion,[],[f21852]) ).
cnf(s147,plain,
( ~ spl177_1
| spl177_2 ),
inference(sat_conversion,[],[f21974]) ).
cnf(s150,plain,
spl177_1,
inference(rat,[],[s1,s133]) ).
cnf(s151,plain,
spl177_2,
inference(rat,[],[s147,s150]) ).
cnf(s152,plain,
~ spl177_4,
inference(rat,[],[s3,s150]) ).
cnf(s153,plain,
spl177_3,
inference(rat,[],[s2,s150]) ).
cnf(s154,plain,
$false,
inference(rat,[],[s134,s151,s152,s153]) ).
fof(f21977,plain,
$false,
inference(avatar_sat_refutation,[],[s154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU430+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 % Computer : n018.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8046.5625MB
% 0.11/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Mon Sep 28 05:25:58 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 11.68/3.55 % (3045221)Detected formulas, will run a generic FOF schedule.
% 11.68/3.55 % (3045226)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=115342981:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 11.68/3.55 % (3045231)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1906656061:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 11.68/3.55 % (3045227)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=4220784839:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 11.68/3.55 % (3045229)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1388534436:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 11.68/3.55 % (3045230)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3635982844:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 11.68/3.55 % (3045232)dis-21_1_sil=8000:lcm=predicate:random_seed=3334297327:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 11.68/3.55 % (3045228)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=1455830335:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 11.68/3.55 % (3045231)Instruction limit reached!
% 11.68/3.55 % (3045231)------------------------------
% 11.68/3.55 % (3045231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045231)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045231)Termination reason: Instruction limit
% 11.68/3.55 % (3045231)Termination phase: Property scanning
% 11.68/3.55 % (3045231)Time elapsed: 0.061 s
% 11.68/3.55 % (3045231)Peak memory usage: 112 MB
% 11.68/3.55 % (3045231)Instructions burned: 140 (million)
% 11.68/3.55 % (3045229)Instruction limit reached!
% 11.68/3.55 % (3045229)------------------------------
% 11.68/3.55 % (3045229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045229)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045229)Termination reason: Instruction limit
% 11.68/3.55 % (3045229)Termination phase: SInE selection
% 11.68/3.55 % (3045229)Time elapsed: 0.084 s
% 11.68/3.55 % (3045229)Peak memory usage: 112 MB
% 11.68/3.55 % (3045229)Instructions burned: 109 (million)
% 11.68/3.55 % (3045232)Instruction limit reached!
% 11.68/3.55 % (3045232)------------------------------
% 11.68/3.55 % (3045232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045232)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045232)Termination reason: Instruction limit
% 11.68/3.55 % (3045232)Termination phase: SInE selection
% 11.68/3.55 % (3045232)Time elapsed: 0.086 s
% 11.68/3.55 % (3045232)Peak memory usage: 112 MB
% 11.68/3.55 % (3045232)Instructions burned: 130 (million)
% 11.68/3.55 % (3045230)Instruction limit reached!
% 11.68/3.55 % (3045230)------------------------------
% 11.68/3.55 % (3045230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045230)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045230)Termination reason: Instruction limit
% 11.68/3.55 % (3045230)Termination phase: Preprocessing 1
% 11.68/3.55 % (3045230)Time elapsed: 0.102 s
% 11.68/3.55 % (3045230)Peak memory usage: 113 MB
% 11.68/3.55 % (3045230)Instructions burned: 120 (million)
% 11.68/3.55 % (3045240)lrs+10_1_sil=8000:sp=occurrence:random_seed=3384207624:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 11.68/3.55 % (3045241)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3573502380:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 11.68/3.55 % (3045242)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2372991432:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 11.68/3.55 % (3045243)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=1064563493:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 11.68/3.55 % (3045241)Instruction limit reached!
% 11.68/3.55 % (3045241)------------------------------
% 11.68/3.55 % (3045241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045241)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045241)Termination reason: Instruction limit
% 11.68/3.55 % (3045241)Termination phase: Property scanning
% 11.68/3.55 % (3045241)Time elapsed: 0.068 s
% 11.68/3.55 % (3045241)Peak memory usage: 112 MB
% 11.68/3.55 % (3045241)Instructions burned: 159 (million)
% 11.68/3.55 % (3045243)Instruction limit reached!
% 11.68/3.55 % (3045243)------------------------------
% 11.68/3.55 % (3045243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045243)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045243)Termination reason: Instruction limit
% 11.68/3.55 % (3045243)Termination phase: Property scanning
% 11.68/3.55 % (3045243)Time elapsed: 0.105 s
% 11.68/3.55 % (3045243)Peak memory usage: 112 MB
% 11.68/3.55 % (3045243)Instructions burned: 248 (million)
% 11.68/3.55 % (3045240)Instruction limit reached!
% 11.68/3.55 % (3045240)------------------------------
% 11.68/3.55 % (3045240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045240)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045240)Termination reason: Instruction limit
% 11.68/3.55 % (3045240)Termination phase: Saturation
% 11.68/3.55 % (3045240)Time elapsed: 0.205 s
% 11.68/3.55 % (3045240)Peak memory usage: 119 MB
% 11.68/3.55 % (3045240)Instructions burned: 286 (million)
% 11.68/3.55 % (3045248)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1651595914:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 11.68/3.55 % (3045242)Instruction limit reached!
% 11.68/3.55 % (3045242)------------------------------
% 11.68/3.55 % (3045242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045242)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045242)Termination reason: Instruction limit
% 11.68/3.55 % (3045242)Termination phase: Saturation
% 11.68/3.55 % (3045242)Time elapsed: 0.244 s
% 11.68/3.55 % (3045242)Peak memory usage: 119 MB
% 11.68/3.55 % (3045242)Instructions burned: 325 (million)
% 11.68/3.55 % (3045249)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2048942975:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 11.68/3.55 % (3045250)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3462826963:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 11.68/3.55 % (3045248)Instruction limit reached!
% 11.68/3.55 % (3045248)------------------------------
% 11.68/3.55 % (3045248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045248)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045248)Termination reason: Instruction limit
% 11.68/3.55 % (3045248)Termination phase: Property scanning
% 11.68/3.55 % (3045248)Time elapsed: 0.203 s
% 11.68/3.55 % (3045248)Peak memory usage: 118 MB
% 11.68/3.55 % (3045248)Instructions burned: 295 (million)
% 11.68/3.55 % (3045252)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3032599666:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 11.68/3.55 % (3045250)Instruction limit reached!
% 11.68/3.55 % (3045250)------------------------------
% 11.68/3.55 % (3045250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045250)CaDiCaL version: 2.1.3
% 11.68/3.55 % (3045250)Termination reason: Instruction limit
% 11.68/3.55 % (3045250)Termination phase: SInE selection
% 11.68/3.55 % (3045250)Time elapsed: 0.092 s
% 11.68/3.55 % (3045250)Peak memory usage: 112 MB
% 11.68/3.55 % (3045250)Instructions burned: 113 (million)
% 11.68/3.55 % (3045252)Instruction limit reached!
% 11.68/3.55 % (3045252)------------------------------
% 11.68/3.55 % (3045252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/3.55 % (3045252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/3.55 % (3045252)CaDiCaL version: 2.1.3
% 12.59/3.75 % (3045252)Termination reason: Instruction limit
% 12.59/3.75 % (3045252)Termination phase: Preprocessing 1
% 12.59/3.75 % (3045252)Time elapsed: 0.096 s
% 12.59/3.75 % (3045252)Peak memory usage: 113 MB
% 12.59/3.75 % (3045252)Instructions burned: 128 (million)
% 12.59/3.75 % (3045255)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1206139501:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 12.59/3.75 % (3045257)lrs+10_1_sil=8000:sp=occurrence:random_seed=4123640927:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 12.59/3.75 % (3045255)Instruction limit reached!
% 12.59/3.75 % (3045255)------------------------------
% 12.59/3.75 % (3045255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/3.75 % (3045255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/3.75 % (3045255)CaDiCaL version: 2.1.3
% 12.59/3.75 % (3045255)Termination reason: Instruction limit
% 12.59/3.75 % (3045255)Termination phase: Property scanning
% 12.59/3.75 % (3045255)Time elapsed: 0.051 s
% 12.59/3.75 % (3045255)Peak memory usage: 112 MB
% 12.59/3.75 % (3045255)Instructions burned: 115 (million)
% 12.59/3.75 % (3045258)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1096689867:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 12.59/3.75 % (3045261)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3144133285:i=5202:ss=axioms:sgt=16_2978 on theBenchmark for (2978ds/5202Mi)
% 12.59/3.75 % (3045258)First to succeed.
% 12.59/3.75 % (3045258)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3045221"
% 12.59/3.75 % (3045228)Also succeeded, but the first one will report.
% 12.59/3.75 % (3045258)Refutation found. Thanks to Tanya!
% 12.59/3.75 % SZS status Theorem for theBenchmark
% 12.59/3.75 % SZS output start Proof for theBenchmark
% See solution above
% 12.59/3.75 % (3045258)------------------------------
% 12.59/3.75 % (3045258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/3.75 % (3045258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/3.75 % (3045258)CaDiCaL version: 2.1.3
% 12.59/3.75 % (3045258)Termination reason: Refutation
% 12.59/3.75 % (3045258)Time elapsed: 0.161 s
% 12.59/3.75 % (3045258)Peak memory usage: 120 MB
% 12.59/3.75 % (3045258)Instructions burned: 205 (million)
% 12.59/3.75 % (3045258)------------------------------
% 12.59/3.75 % (3045258)------------------------------
% 12.59/3.75 % (3045221)Success in time 2.646 s
% 12.59/3.75 % Vampire exiting
%------------------------------------------------------------------------------