%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU424+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:48:56 PM UTC 2026
% Result : Theorem 23.00s 9.01s
% Output : Refutation 23.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 10 unt; 1 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 17 |; 8 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 28 ( 0 sgn 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71064,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& m2_relset_1(X3,X0,X1) )
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(f71100,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_relset_2) ).
fof(f71101,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f71100]) ).
fof(f71151,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f71064]) ).
fof(f71152,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f71151]) ).
fof(f71191,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f71101]) ).
fof(f71868,plain,
( ~ m1_subset_1(a_4_0_relset_2(sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK3)))
& m2_relset_1(sK5,sK2,sK3)
& m1_subset_1(sK4,k1_zfmisc_1(sK2))
& ~ v1_xboole_0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f71191]) ).
fof(f72141,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f71152]) ).
fof(f72184,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f71868]) ).
fof(f72185,plain,
m1_subset_1(sK4,k1_zfmisc_1(sK2)),
inference(cnf_transformation,[],[f71868]) ).
fof(f72186,plain,
m2_relset_1(sK5,sK2,sK3),
inference(cnf_transformation,[],[f71868]) ).
fof(f72187,plain,
~ m1_subset_1(a_4_0_relset_2(sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK3))),
inference(cnf_transformation,[],[f71868]) ).
fof(f74104,definition,
( spl312_1
<=> m1_subset_1(a_4_0_relset_2(sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK3))) ),
introduced(definition,[new_symbols(definition,[spl312_1])],[avatar_definition]) ).
fof(f74106,plain,
( ~ m1_subset_1(a_4_0_relset_2(sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK3)))
| spl312_1 ),
inference(avatar_component_clause,[],[f74104]) ).
fof(f74107,plain,
~ spl312_1,
inference(avatar_split_clause,[],[f72187,f74104]) ).
fof(f74108,plain,
( v1_xboole_0(sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sK2))
| ~ m2_relset_1(sK5,sK2,sK3)
| spl312_1 ),
inference(resolution,[],[f74106,f72141]) ).
fof(f74119,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sK2))
| ~ m2_relset_1(sK5,sK2,sK3)
| spl312_1 ),
inference(forward_subsumption_resolution,[],[f74108,f72184]) ).
fof(f74120,plain,
( ~ m2_relset_1(sK5,sK2,sK3)
| spl312_1 ),
inference(forward_subsumption_resolution,[],[f74119,f72185]) ).
fof(f74121,plain,
( $false
| spl312_1 ),
inference(forward_subsumption_resolution,[],[f74120,f72186]) ).
fof(f74122,plain,
spl312_1,
inference(avatar_contradiction_clause,[],[f74121]) ).
cnf(s1,plain,
~ spl312_1,
inference(sat_conversion,[],[f74107]) ).
cnf(s2,plain,
spl312_1,
inference(sat_conversion,[],[f74122]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f74123,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU424+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.36 % Computer : n002.cluster.edu
% 0.05/0.36 % Model : x86_64 x86_64
% 0.05/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.36 % Memory : 8046.5625MB
% 0.05/0.36 % OS : Linux 6.8.0-71-generic
% 0.05/0.36 % CPULimit : 300
% 0.05/0.36 % WCLimit : 300
% 0.05/0.36 % DateTime : Mon Sep 28 05:24:07 UTC 2026
% 0.05/0.36 % CPUTime :
% 0.05/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.39 Running first-order theorem proving
% 0.05/0.39 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
% 15.89/8.01 % (4193139)Detected formulas, will run a generic FOF schedule.
% 15.89/8.01 % (4193152)dis-21_1_sil=8000:lcm=predicate:random_seed=974248031:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 15.89/8.01 % (4193146)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=918749292:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 15.89/8.01 % (4193147)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=146851966:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 15.89/8.01 % (4193150)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=20318254:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 15.89/8.01 % (4193148)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=569412841:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 15.89/8.01 % (4193149)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=896522972:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 15.89/8.01 % (4193151)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=476752694:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 15.89/8.01 % (4193152)Instruction limit reached!
% 15.89/8.01 % (4193152)------------------------------
% 15.89/8.01 % (4193152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/8.01 % (4193152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/8.01 % (4193152)CaDiCaL version: 2.1.3
% 15.89/8.01 % (4193152)Termination reason: Instruction limit
% 15.89/8.01 % (4193152)Termination phase: SInE selection
% 15.89/8.01 % (4193152)Time elapsed: 0.059 s
% 15.89/8.01 % (4193152)Peak memory usage: 201 MB
% 15.89/8.01 % (4193152)Instructions burned: 130 (million)
% 15.89/8.01 % (4193150)Instruction limit reached!
% 15.89/8.01 % (4193150)------------------------------
% 15.89/8.01 % (4193150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/8.01 % (4193150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/8.01 % (4193150)CaDiCaL version: 2.1.3
% 15.89/8.01 % (4193150)Termination reason: Instruction limit
% 15.89/8.01 % (4193150)Termination phase: SInE selection
% 15.89/8.01 % (4193150)Time elapsed: 0.091 s
% 15.89/8.01 % (4193150)Peak memory usage: 201 MB
% 15.89/8.01 % (4193150)Instructions burned: 119 (million)
% 15.89/8.01 % (4193151)Instruction limit reached!
% 15.89/8.01 % (4193151)------------------------------
% 15.89/8.01 % (4193151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/8.01 % (4193151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/8.01 % (4193151)CaDiCaL version: 2.1.3
% 15.89/8.01 % (4193151)Termination reason: Instruction limit
% 15.89/8.01 % (4193151)Termination phase: Property scanning
% 15.89/8.01 % (4193151)Time elapsed: 0.069 s
% 15.89/8.01 % (4193151)Peak memory usage: 201 MB
% 15.89/8.01 % (4193151)Instructions burned: 140 (million)
% 15.89/8.01 % (4193149)Instruction limit reached!
% 15.89/8.01 % (4193149)------------------------------
% 15.89/8.01 % (4193149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/8.01 % (4193149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/8.01 % (4193149)CaDiCaL version: 2.1.3
% 15.89/8.01 % (4193149)Termination reason: Instruction limit
% 15.89/8.01 % (4193149)Termination phase: SInE selection
% 15.89/8.01 % (4193149)Time elapsed: 0.088 s
% 15.89/8.01 % (4193149)Peak memory usage: 201 MB
% 15.89/8.01 % (4193149)Instructions burned: 110 (million)
% 15.89/8.01 % (4193160)lrs+10_1_sil=8000:sp=occurrence:random_seed=1314469480:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 15.89/8.01 % (4193162)lrs+1011_1_sil=32000:sp=occurrence:random_seed=514188294:i=325:sd=1:ss=axioms:sgt=32_2942 on theBenchmark for (2942ds/325Mi)
% 15.89/8.01 % (4193161)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1938557649:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/157Mi)
% 15.89/8.01 % (4193163)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=3851278770:s2a=on:i=248:s2at=1.23:gtg=position_2942 on theBenchmark for (2942ds/248Mi)
% 15.89/8.01 % (4193160)Instruction limit reached!
% 20.19/8.74 % (4193160)------------------------------
% 20.19/8.74 % (4193160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.19/8.74 % (4193160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.19/8.74 % (4193160)CaDiCaL version: 2.1.3
% 20.19/8.74 % (4193160)Termination reason: Instruction limit
% 20.19/8.74 % (4193160)Termination phase: SInE selection
% 20.19/8.74 % (4193160)Time elapsed: 0.127 s
% 20.19/8.74 % (4193160)Peak memory usage: 201 MB
% 20.19/8.74 % (4193160)Instructions burned: 287 (million)
% 20.19/8.74 % (4193161)Instruction limit reached!
% 20.19/8.74 % (4193161)------------------------------
% 20.19/8.74 % (4193161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.19/8.74 % (4193161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.19/8.74 % (4193161)CaDiCaL version: 2.1.3
% 20.19/8.74 % (4193161)Termination reason: Instruction limit
% 20.19/8.74 % (4193161)Termination phase: Property scanning
% 20.19/8.74 % (4193161)Time elapsed: 0.079 s
% 20.19/8.74 % (4193161)Peak memory usage: 201 MB
% 20.19/8.74 % (4193161)Instructions burned: 158 (million)
% 20.19/8.74 % (4193168)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1683500074:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2940 on theBenchmark for (2940ds/294Mi)
% 20.19/8.74 % (4193163)Instruction limit reached!
% 20.19/8.74 % (4193163)------------------------------
% 20.19/8.74 % (4193163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.19/8.74 % (4193163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.19/8.74 % (4193163)CaDiCaL version: 2.1.3
% 20.19/8.74 % (4193163)Termination reason: Instruction limit
% 20.19/8.74 % (4193163)Termination phase: Property scanning
% 20.19/8.74 % (4193163)Time elapsed: 0.115 s
% 20.19/8.74 % (4193163)Peak memory usage: 201 MB
% 20.19/8.74 % (4193163)Instructions burned: 248 (million)
% 20.19/8.74 % (4193169)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3238429022:i=2350_2940 on theBenchmark for (2940ds/2350Mi)
% 20.19/8.74 % (4193162)Instruction limit reached!
% 20.19/8.74 % (4193162)------------------------------
% 20.19/8.74 % (4193162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.19/8.74 % (4193162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.19/8.74 % (4193162)CaDiCaL version: 2.1.3
% 20.19/8.74 % (4193162)Termination reason: Instruction limit
% 20.19/8.74 % (4193162)Termination phase: SInE selection
% 20.19/8.74 % (4193162)Time elapsed: 0.237 s
% 20.19/8.74 % (4193162)Peak memory usage: 201 MB
% 20.19/8.74 % (4193162)Instructions burned: 326 (million)
% 20.19/8.74 % (4193168)Instruction limit reached!
% 20.19/8.74 % (4193168)------------------------------
% 20.19/8.74 % (4193168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.19/8.74 % (4193168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.19/8.74 % (4193168)CaDiCaL version: 2.1.3
% 20.19/8.74 % (4193168)Termination reason: Instruction limit
% 20.19/8.74 % (4193168)Termination phase: SInE selection
% 20.19/8.74 % (4193168)Time elapsed: 0.128 s
% 20.19/8.74 % (4193168)Peak memory usage: 201 MB
% 20.19/8.74 % (4193168)Instructions burned: 295 (million)
% 20.19/8.74 % (4193171)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4070633931:cts=off:i=113:fsr=off:ss=included:sgt=4_2939 on theBenchmark for (2939ds/113Mi)
% 20.19/8.74 % (4193174)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=468768082:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2938 on theBenchmark for (2938ds/114Mi)
% 20.19/8.74 % (4193173)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2579593828:i=127:av=off:fsr=off:sup=off_2938 on theBenchmark for (2938ds/127Mi)
% 20.19/8.74 % (4193174)Instruction limit reached!
% 20.19/8.74 % (4193174)------------------------------
% 20.19/8.74 % (4193174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.19/8.74 % (4193174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.19/8.74 % (4193174)CaDiCaL version: 2.1.3
% 20.19/8.74 % (4193174)Termination reason: Instruction limit
% 20.19/8.74 % (4193174)Termination phase: Property scanning
% 20.19/8.74 % (4193174)Time elapsed: 0.032 s
% 20.19/8.74 % (4193174)Peak memory usage: 201 MB
% 20.19/8.74 % (4193174)Instructions burned: 117 (million)
% 20.19/8.74 % (4193171)Instruction limit reached!
% 20.19/8.74 % (4193171)------------------------------
% 20.19/8.74 % (4193171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193171)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193171)Termination reason: Instruction limit
% 23.00/9.01 % (4193171)Termination phase: SInE selection
% 23.00/9.01 % (4193171)Time elapsed: 0.093 s
% 23.00/9.01 % (4193171)Peak memory usage: 201 MB
% 23.00/9.01 % (4193171)Instructions burned: 114 (million)
% 23.00/9.01 % (4193178)lrs+10_1_sil=8000:sp=occurrence:random_seed=3523117497:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2937 on theBenchmark for (2937ds/907Mi)
% 23.00/9.01 % (4193173)Instruction limit reached!
% 23.00/9.01 % (4193173)------------------------------
% 23.00/9.01 % (4193173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193173)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193173)Termination reason: Instruction limit
% 23.00/9.01 % (4193173)Termination phase: Preprocessing 1
% 23.00/9.01 % (4193173)Time elapsed: 0.101 s
% 23.00/9.01 % (4193173)Peak memory usage: 202 MB
% 23.00/9.01 % (4193173)Instructions burned: 128 (million)
% 23.00/9.01 % (4193179)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=531845013:i=437:sd=1:aac=none:ss=included_2937 on theBenchmark for (2937ds/437Mi)
% 23.00/9.01 % (4193181)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3875997642:i=5202:ss=axioms:sgt=16_2936 on theBenchmark for (2936ds/5202Mi)
% 23.00/9.01 % (4193179)Instruction limit reached!
% 23.00/9.01 % (4193179)------------------------------
% 23.00/9.01 % (4193179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193179)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193179)Termination reason: Instruction limit
% 23.00/9.01 % (4193179)Termination phase: SInE selection
% 23.00/9.01 % (4193179)Time elapsed: 0.335 s
% 23.00/9.01 % (4193179)Peak memory usage: 202 MB
% 23.00/9.01 % (4193179)Instructions burned: 437 (million)
% 23.00/9.01 % (4193178)Instruction limit reached!
% 23.00/9.01 % (4193178)------------------------------
% 23.00/9.01 % (4193178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193178)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193178)Termination reason: Instruction limit
% 23.00/9.01 % (4193178)Termination phase: Preprocessing 2
% 23.00/9.01 % (4193178)Time elapsed: 0.396 s
% 23.00/9.01 % (4193178)Peak memory usage: 207 MB
% 23.00/9.01 % (4193178)Instructions burned: 908 (million)
% 23.00/9.01 % (4193185)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=646707024:st=8:i=592:sd=3:ep=RST:ss=axioms_2932 on theBenchmark for (2932ds/592Mi)
% 23.00/9.01 % (4193184)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2670806663:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2932 on theBenchmark for (2932ds/134Mi)
% 23.00/9.01 % (4193184)Instruction limit reached!
% 23.00/9.01 % (4193184)------------------------------
% 23.00/9.01 % (4193184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193184)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193184)Termination reason: Instruction limit
% 23.00/9.01 % (4193184)Termination phase: SInE selection
% 23.00/9.01 % (4193184)Time elapsed: 0.109 s
% 23.00/9.01 % (4193184)Peak memory usage: 201 MB
% 23.00/9.01 % (4193184)Instructions burned: 134 (million)
% 23.00/9.01 % (4193185)Instruction limit reached!
% 23.00/9.01 % (4193185)------------------------------
% 23.00/9.01 % (4193185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193185)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193185)Termination reason: Instruction limit
% 23.00/9.01 % (4193185)Termination phase: SInE selection
% 23.00/9.01 % (4193185)Time elapsed: 0.220 s
% 23.00/9.01 % (4193185)Peak memory usage: 203 MB
% 23.00/9.01 % (4193185)Instructions burned: 593 (million)
% 23.00/9.01 % (4193188)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2543335754:st=3:i=13193:sd=3:ss=axioms_2929 on theBenchmark for (2929ds/13193Mi)
% 23.00/9.01 % (4193189)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4062820004:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2929 on theBenchmark for (2929ds/125Mi)
% 23.00/9.01 % (4193189)Instruction limit reached!
% 23.00/9.01 % (4193189)------------------------------
% 23.00/9.01 % (4193189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193189)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193189)Termination reason: Instruction limit
% 23.00/9.01 % (4193189)Termination phase: Property scanning
% 23.00/9.01 % (4193189)Time elapsed: 0.034 s
% 23.00/9.01 % (4193189)Peak memory usage: 201 MB
% 23.00/9.01 % (4193189)Instructions burned: 125 (million)
% 23.00/9.01 % (4193192)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1516290016:i=134:gtgl=5:slsql=off:gtg=exists_sym_2927 on theBenchmark for (2927ds/134Mi)
% 23.00/9.01 % (4193192)Instruction limit reached!
% 23.00/9.01 % (4193192)------------------------------
% 23.00/9.01 % (4193192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193192)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193192)Termination reason: Instruction limit
% 23.00/9.01 % (4193192)Termination phase: Property scanning
% 23.00/9.01 % (4193192)Time elapsed: 0.037 s
% 23.00/9.01 % (4193192)Peak memory usage: 201 MB
% 23.00/9.01 % (4193192)Instructions burned: 138 (million)
% 23.00/9.01 % (4193194)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2327516399:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2926 on theBenchmark for (2926ds/141Mi)
% 23.00/9.01 % (4193194)Instruction limit reached!
% 23.00/9.01 % (4193194)------------------------------
% 23.00/9.01 % (4193194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193194)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193194)Termination reason: Instruction limit
% 23.00/9.01 % (4193194)Termination phase: SInE selection
% 23.00/9.01 % (4193194)Time elapsed: 0.062 s
% 23.00/9.01 % (4193194)Peak memory usage: 201 MB
% 23.00/9.01 % (4193194)Instructions burned: 141 (million)
% 23.00/9.01 % (4193148)First to succeed.
% 23.00/9.01 % (4193148)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4193139"
% 23.00/9.01 % (4193196)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3655835406:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2924 on theBenchmark for (2924ds/431Mi)
% 23.00/9.01 % (4193196)Instruction limit reached!
% 23.00/9.01 % (4193196)------------------------------
% 23.00/9.01 % (4193196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193196)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193196)Termination reason: Instruction limit
% 23.00/9.01 % (4193196)Termination phase: SInE selection
% 23.00/9.01 % (4193196)Time elapsed: 0.184 s
% 23.00/9.01 % (4193196)Peak memory usage: 202 MB
% 23.00/9.01 % (4193196)Instructions burned: 433 (million)
% 23.00/9.01 % (4193148)Refutation found. Thanks to Tanya!
% 23.00/9.01 % SZS status Theorem for theBenchmark
% 23.00/9.01 % SZS output start Proof for theBenchmark
% See solution above
% 23.00/9.01 % (4193148)------------------------------
% 23.00/9.01 % (4193148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.00/9.01 % (4193148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.00/9.01 % (4193148)CaDiCaL version: 2.1.3
% 23.00/9.01 % (4193148)Termination reason: Refutation
% 23.00/9.01 % (4193148)Time elapsed: 1.917 s
% 23.00/9.01 % (4193148)Peak memory usage: 282 MB
% 23.00/9.01 % (4193148)Instructions burned: 2690 (million)
% 23.00/9.01 % (4193148)------------------------------
% 23.00/9.01 % (4193148)------------------------------
% 23.00/9.01 % (4193139)Success in time 7.911 s
% 23.00/9.01 % Vampire exiting
%------------------------------------------------------------------------------