%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU451+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 : n017.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 12:49:12 PM UTC 2026
% Result : Theorem 92.91s 20.54s
% Output : Refutation 92.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% Number of atoms : 66 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 20 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 82 ( 79 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1452,axiom,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_relset_1) ).
fof(f1481,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1552,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k5_relat_1(k6_relat_1(X0),X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_partfun1) ).
fof(f1553,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k5_relat_1(X2,k6_relat_1(X1)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_partfun1) ).
fof(f1725,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f71078,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f71147,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relset_2) ).
fof(f71148,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
inference(negated_conjecture,[status(cth)],[f71147]) ).
fof(f71390,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f71078]) ).
fof(f71391,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f71390]) ).
fof(f71466,plain,
? [X0,X1,X2] :
( k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) != k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1))
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f71148]) ).
fof(f71572,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1481]) ).
fof(f75294,plain,
! [X0,X1,X2] :
( k5_relat_1(X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1553]) ).
fof(f75295,plain,
! [X0,X1,X2] :
( k5_relat_1(k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1552]) ).
fof(f84281,plain,
( k9_relset_2(sK80,sK80,sK81,k6_partfun1(sK80),sK82) != k9_relset_2(sK80,sK81,sK81,sK82,k6_partfun1(sK81))
& m2_relset_1(sK82,sK80,sK81) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81,sK82]),skolemize(X0,sK80),skolemize(X1,sK81),skolemize(X2,sK82)],[f71466]) ).
fof(f87503,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k5_relat_1(X3,X4) = k9_relset_2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f71391]) ).
fof(f87607,plain,
m2_relset_1(sK82,sK80,sK81),
inference(cnf_transformation,[],[f84281]) ).
fof(f87608,plain,
k9_relset_2(sK80,sK80,sK81,k6_partfun1(sK80),sK82) != k9_relset_2(sK80,sK81,sK81,sK82,k6_partfun1(sK81)),
inference(cnf_transformation,[],[f84281]) ).
fof(f87774,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f71572]) ).
fof(f92941,plain,
! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
inference(cnf_transformation,[],[f1725]) ).
fof(f92942,plain,
! [X2,X0,X1] :
( k5_relat_1(X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f75294]) ).
fof(f92943,plain,
! [X2,X0,X1] :
( k5_relat_1(k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f75295]) ).
fof(f92959,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f1452]) ).
fof(f107925,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_partfun1(X1)) = X2 ),
inference(definition_unfolding,[],[f92942,f92941]) ).
fof(f107926,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_partfun1(X0),X2) = X2 ),
inference(definition_unfolding,[],[f92943,f92941]) ).
fof(f107942,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(definition_unfolding,[],[f92959,f92941]) ).
fof(f117146,plain,
sK82 = k5_relat_1(sK82,k6_partfun1(sK81)),
inference(resolution,[],[f107925,f87607]) ).
fof(f117151,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m2_relset_1(X0,X1,X2)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0) ),
inference(resolution,[],[f87774,f87503]) ).
fof(f117154,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X4,X1)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f117151,f87774]) ).
fof(f117155,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK81,X1)
| k9_relset_2(sK80,sK81,X1,sK82,X0) = k5_relat_1(sK82,X0) ),
inference(resolution,[],[f117154,f87607]) ).
fof(f117156,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| k5_relat_1(k6_partfun1(X0),X1) = k9_relset_2(X0,X0,X2,k6_partfun1(X0),X1) ),
inference(resolution,[],[f117154,f107942]) ).
fof(f117157,plain,
k9_relset_2(sK80,sK80,sK81,k6_partfun1(sK80),sK82) = k5_relat_1(k6_partfun1(sK80),sK82),
inference(resolution,[],[f117156,f87607]) ).
fof(f117160,plain,
k9_relset_2(sK80,sK81,sK81,sK82,k6_partfun1(sK81)) = k5_relat_1(sK82,k6_partfun1(sK81)),
inference(resolution,[],[f117155,f107942]) ).
fof(f117161,plain,
sK82 = k9_relset_2(sK80,sK81,sK81,sK82,k6_partfun1(sK81)),
inference(forward_demodulation,[],[f117160,f117146]) ).
fof(f117163,plain,
sK82 != k9_relset_2(sK80,sK80,sK81,k6_partfun1(sK80),sK82),
inference(superposition,[],[f87608,f117161]) ).
fof(f117164,plain,
sK82 != k5_relat_1(k6_partfun1(sK80),sK82),
inference(forward_demodulation,[],[f117163,f117157]) ).
fof(f117210,plain,
$false,
inference(unit_resulting_resolution,[],[f107926,f87607,f117164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU451+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n017.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 28 05:33:03 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 33.15/11.94 % (3251230)Detected formulas, will run a generic FOF schedule.
% 33.15/11.94 % (3251244)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2221815874:i=109:sd=1:ins=1:gsp=on:ss=axioms_2927 on theBenchmark for (2927ds/109Mi)
% 33.15/11.94 % (3251246)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1268576138:s2a=on:i=139:gtg=position_2927 on theBenchmark for (2927ds/139Mi)
% 33.15/11.94 % (3251242)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=4039010719:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2927 on theBenchmark for (2927ds/134677Mi)
% 33.15/11.94 % (3251241)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=3514787571:i=141193_2927 on theBenchmark for (2927ds/141193Mi)
% 33.15/11.94 % (3251243)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=739170527:i=141695:sd=1:nm=32:gsp=on:ss=included_2927 on theBenchmark for (2927ds/141695Mi)
% 33.15/11.94 % (3251244)Instruction limit reached!
% 33.15/11.94 % (3251244)------------------------------
% 33.15/11.94 % (3251244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/11.94 % (3251244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/11.94 % (3251244)CaDiCaL version: 2.1.3
% 33.15/11.94 % (3251244)Termination reason: Instruction limit
% 33.15/11.94 % (3251244)Termination phase: SInE selection
% 33.15/11.94 % (3251244)Time elapsed: 0.081 s
% 33.15/11.94 % (3251244)Peak memory usage: 201 MB
% 33.15/11.94 % (3251244)Instructions burned: 109 (million)
% 33.15/11.94 % (3251245)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=39989372:i=119:av=off:ss=axioms_2927 on theBenchmark for (2927ds/119Mi)
% 33.15/11.94 % (3251247)dis-21_1_sil=8000:lcm=predicate:random_seed=1969451878:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2927 on theBenchmark for (2927ds/129Mi)
% 33.15/11.94 % (3251246)Instruction limit reached!
% 33.15/11.94 % (3251246)------------------------------
% 33.15/11.94 % (3251246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/11.94 % (3251246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/11.94 % (3251246)CaDiCaL version: 2.1.3
% 33.15/11.94 % (3251246)Termination reason: Instruction limit
% 33.15/11.94 % (3251246)Termination phase: Property scanning
% 33.15/11.94 % (3251246)Time elapsed: 0.122 s
% 33.15/11.94 % (3251246)Peak memory usage: 201 MB
% 33.15/11.94 % (3251246)Instructions burned: 140 (million)
% 33.15/11.94 % (3251245)Instruction limit reached!
% 33.15/11.94 % (3251245)------------------------------
% 33.15/11.94 % (3251245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/11.94 % (3251245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/11.94 % (3251245)CaDiCaL version: 2.1.3
% 33.15/11.94 % (3251245)Termination reason: Instruction limit
% 33.15/11.94 % (3251245)Termination phase: SInE selection
% 33.15/11.94 % (3251245)Time elapsed: 0.131 s
% 33.15/11.94 % (3251245)Peak memory usage: 201 MB
% 33.15/11.94 % (3251245)Instructions burned: 119 (million)
% 33.15/11.94 % (3251247)Instruction limit reached!
% 33.15/11.94 % (3251247)------------------------------
% 33.15/11.94 % (3251247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/11.94 % (3251247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/11.94 % (3251247)CaDiCaL version: 2.1.3
% 33.15/11.94 % (3251247)Termination reason: Instruction limit
% 33.15/11.94 % (3251247)Termination phase: SInE selection
% 33.15/11.94 % (3251247)Time elapsed: 0.141 s
% 33.15/11.94 % (3251247)Peak memory usage: 201 MB
% 33.15/11.94 % (3251247)Instructions burned: 129 (million)
% 33.15/11.94 % (3251254)lrs+10_1_sil=8000:sp=occurrence:random_seed=2858769872:i=285:sd=3:ss=axioms:sgt=8_2924 on theBenchmark for (2924ds/285Mi)
% 33.15/11.94 % (3251256)lrs+10_1_sil=32000:urr=on:br=off:random_seed=285383566:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2924 on theBenchmark for (2924ds/157Mi)
% 33.15/11.94 % (3251257)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1612849273:i=325:sd=1:ss=axioms:sgt=32_2923 on theBenchmark for (2923ds/325Mi)
% 33.15/11.94 % (3251256)Instruction limit reached!
% 33.15/11.94 % (3251256)------------------------------
% 33.15/11.94 % (3251256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/11.94 % (3251256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.57/13.21 % (3251256)CaDiCaL version: 2.1.3
% 42.57/13.21 % (3251256)Termination reason: Instruction limit
% 42.57/13.21 % (3251256)Termination phase: Property scanning
% 42.57/13.21 % (3251256)Time elapsed: 0.081 s
% 42.57/13.21 % (3251256)Peak memory usage: 201 MB
% 42.57/13.21 % (3251256)Instructions burned: 159 (million)
% 42.57/13.21 % (3251258)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=3662149655:s2a=on:i=248:s2at=1.23:gtg=position_2923 on theBenchmark for (2923ds/248Mi)
% 42.57/13.21 % (3251254)Instruction limit reached!
% 42.57/13.21 % (3251254)------------------------------
% 42.57/13.21 % (3251254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.57/13.21 % (3251254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.57/13.21 % (3251254)CaDiCaL version: 2.1.3
% 42.57/13.21 % (3251254)Termination reason: Instruction limit
% 42.57/13.21 % (3251254)Termination phase: SInE selection
% 42.57/13.21 % (3251254)Time elapsed: 0.317 s
% 42.57/13.21 % (3251254)Peak memory usage: 201 MB
% 42.57/13.21 % (3251254)Instructions burned: 286 (million)
% 42.57/13.21 % (3251262)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3524730907:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2921 on theBenchmark for (2921ds/294Mi)
% 42.57/13.21 % (3251258)Instruction limit reached!
% 42.57/13.21 % (3251258)------------------------------
% 42.57/13.21 % (3251258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.57/13.21 % (3251258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.57/13.21 % (3251258)CaDiCaL version: 2.1.3
% 42.57/13.21 % (3251258)Termination reason: Instruction limit
% 42.57/13.21 % (3251258)Termination phase: Property scanning
% 42.57/13.21 % (3251258)Time elapsed: 0.218 s
% 42.57/13.21 % (3251258)Peak memory usage: 201 MB
% 42.57/13.21 % (3251258)Instructions burned: 248 (million)
% 42.57/13.21 % (3251257)Instruction limit reached!
% 42.57/13.21 % (3251257)------------------------------
% 42.57/13.21 % (3251257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.57/13.21 % (3251257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.57/13.21 % (3251257)CaDiCaL version: 2.1.3
% 42.57/13.21 % (3251257)Termination reason: Instruction limit
% 42.57/13.21 % (3251257)Termination phase: SInE selection
% 42.57/13.21 % (3251257)Time elapsed: 0.350 s
% 42.57/13.21 % (3251257)Peak memory usage: 201 MB
% 42.57/13.21 % (3251257)Instructions burned: 325 (million)
% 42.57/13.21 % (3251262)Instruction limit reached!
% 42.57/13.21 % (3251262)------------------------------
% 42.57/13.21 % (3251262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.57/13.21 % (3251262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.57/13.21 % (3251262)CaDiCaL version: 2.1.3
% 42.57/13.21 % (3251262)Termination reason: Instruction limit
% 42.57/13.21 % (3251262)Termination phase: SInE selection
% 42.57/13.21 % (3251262)Time elapsed: 0.206 s
% 42.57/13.21 % (3251262)Peak memory usage: 201 MB
% 42.57/13.21 % (3251262)Instructions burned: 294 (million)
% 42.57/13.21 % (3251264)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3734865282:i=2350_2919 on theBenchmark for (2919ds/2350Mi)
% 42.57/13.21 % (3251266)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3078168150:cts=off:i=113:fsr=off:ss=included:sgt=4_2918 on theBenchmark for (2918ds/113Mi)
% 42.57/13.21 % (3251267)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=562006294:i=127:av=off:fsr=off:sup=off_2917 on theBenchmark for (2917ds/127Mi)
% 42.57/13.21 % (3251266)Instruction limit reached!
% 42.57/13.21 % (3251266)------------------------------
% 42.57/13.21 % (3251266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.57/13.21 % (3251266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.57/13.21 % (3251266)CaDiCaL version: 2.1.3
% 42.57/13.21 % (3251266)Termination reason: Instruction limit
% 42.57/13.21 % (3251266)Termination phase: SInE selection
% 42.57/13.21 % (3251266)Time elapsed: 0.125 s
% 42.57/13.21 % (3251266)Peak memory usage: 201 MB
% 42.57/13.21 % (3251266)Instructions burned: 113 (million)
% 42.57/13.21 % (3251268)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=166065462:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2916 on theBenchmark for (2916ds/114Mi)
% 42.57/13.21 % (3251268)Instruction limit reached!
% 42.57/13.21 % (3251268)------------------------------
% 42.57/13.21 % (3251268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251268)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251268)Termination reason: Instruction limit
% 46.59/20.27 % (3251268)Termination phase: Property scanning
% 46.59/20.27 % (3251268)Time elapsed: 0.061 s
% 46.59/20.27 % (3251268)Peak memory usage: 201 MB
% 46.59/20.27 % (3251268)Instructions burned: 116 (million)
% 46.59/20.27 % (3251267)Instruction limit reached!
% 46.59/20.27 % (3251267)------------------------------
% 46.59/20.27 % (3251267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251267)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251267)Termination reason: Instruction limit
% 46.59/20.27 % (3251267)Termination phase: Preprocessing 1
% 46.59/20.27 % (3251267)Time elapsed: 0.161 s
% 46.59/20.27 % (3251267)Peak memory usage: 202 MB
% 46.59/20.27 % (3251267)Instructions burned: 127 (million)
% 46.59/20.27 % (3251273)lrs+10_1_sil=8000:sp=occurrence:random_seed=2205709921:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2914 on theBenchmark for (2914ds/907Mi)
% 46.59/20.27 % (3251274)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2103298295:i=437:sd=1:aac=none:ss=included_2913 on theBenchmark for (2913ds/437Mi)
% 46.59/20.27 % (3251275)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1425057971:i=5202:ss=axioms:sgt=16_2913 on theBenchmark for (2913ds/5202Mi)
% 46.59/20.27 % (3251274)Instruction limit reached!
% 46.59/20.27 % (3251274)------------------------------
% 46.59/20.27 % (3251274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251274)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251274)Termination reason: Instruction limit
% 46.59/20.27 % (3251274)Termination phase: SInE selection
% 46.59/20.27 % (3251274)Time elapsed: 0.460 s
% 46.59/20.27 % (3251274)Peak memory usage: 201 MB
% 46.59/20.27 % (3251274)Instructions burned: 438 (million)
% 46.59/20.27 % (3251281)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3651023865:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2906 on theBenchmark for (2906ds/134Mi)
% 46.59/20.27 % (3251281)Instruction limit reached!
% 46.59/20.27 % (3251281)------------------------------
% 46.59/20.27 % (3251281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251281)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251281)Termination reason: Instruction limit
% 46.59/20.27 % (3251281)Termination phase: SInE selection
% 46.59/20.27 % (3251281)Time elapsed: 0.132 s
% 46.59/20.27 % (3251281)Peak memory usage: 201 MB
% 46.59/20.27 % (3251281)Instructions burned: 134 (million)
% 46.59/20.27 % (3251273)Instruction limit reached!
% 46.59/20.27 % (3251273)------------------------------
% 46.59/20.27 % (3251273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251273)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251273)Termination reason: Instruction limit
% 46.59/20.27 % (3251273)Termination phase: Preprocessing 1
% 46.59/20.27 % (3251273)Time elapsed: 0.968 s
% 46.59/20.27 % (3251273)Peak memory usage: 204 MB
% 46.59/20.27 % (3251273)Instructions burned: 907 (million)
% 46.59/20.27 % (3251283)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3560494315:st=8:i=592:sd=3:ep=RST:ss=axioms_2902 on theBenchmark for (2902ds/592Mi)
% 46.59/20.27 % (3251284)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3526952512:st=3:i=13193:sd=3:ss=axioms_2901 on theBenchmark for (2901ds/13193Mi)
% 46.59/20.27 % (3251283)Instruction limit reached!
% 46.59/20.27 % (3251283)------------------------------
% 46.59/20.27 % (3251283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251283)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251283)Termination reason: Instruction limit
% 46.59/20.27 % (3251283)Termination phase: SInE selection
% 46.59/20.27 % (3251283)Time elapsed: 0.574 s
% 46.59/20.27 % (3251283)Peak memory usage: 203 MB
% 46.59/20.27 % (3251283)Instructions burned: 592 (million)
% 46.59/20.27 % (3251287)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=152010799:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2894 on theBenchmark for (2894ds/125Mi)
% 46.59/20.27 % (3251287)Instruction limit reached!
% 46.59/20.27 % (3251287)------------------------------
% 46.59/20.27 % (3251287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251287)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251287)Termination reason: Instruction limit
% 46.59/20.27 % (3251287)Termination phase: Property scanning
% 46.59/20.27 % (3251287)Time elapsed: 0.116 s
% 46.59/20.27 % (3251287)Peak memory usage: 201 MB
% 46.59/20.27 % (3251287)Instructions burned: 125 (million)
% 46.59/20.27 % (3251264)Instruction limit reached!
% 46.59/20.27 % (3251264)------------------------------
% 46.59/20.27 % (3251264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251264)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251264)Termination reason: Instruction limit
% 46.59/20.27 % (3251264)Termination phase: Preprocessing 3
% 46.59/20.27 % (3251264)Time elapsed: 2.748 s
% 46.59/20.27 % (3251264)Peak memory usage: 305 MB
% 46.59/20.27 % (3251264)Instructions burned: 2351 (million)
% 46.59/20.27 % (3251291)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3899708988:i=134:gtgl=5:slsql=off:gtg=exists_sym_2889 on theBenchmark for (2889ds/134Mi)
% 46.59/20.27 % (3251292)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3495894062:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2888 on theBenchmark for (2888ds/141Mi)
% 46.59/20.27 % (3251291)Instruction limit reached!
% 46.59/20.27 % (3251291)------------------------------
% 46.59/20.27 % (3251291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251291)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251291)Termination reason: Instruction limit
% 46.59/20.27 % (3251291)Termination phase: Property scanning
% 46.59/20.27 % (3251291)Time elapsed: 0.123 s
% 46.59/20.27 % (3251291)Peak memory usage: 201 MB
% 46.59/20.27 % (3251291)Instructions burned: 135 (million)
% 46.59/20.27 % (3251292)Instruction limit reached!
% 46.59/20.27 % (3251292)------------------------------
% 46.59/20.27 % (3251292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251292)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251292)Termination reason: Instruction limit
% 46.59/20.27 % (3251292)Termination phase: SInE selection
% 46.59/20.27 % (3251292)Time elapsed: 0.161 s
% 46.59/20.27 % (3251292)Peak memory usage: 201 MB
% 46.59/20.27 % (3251292)Instructions burned: 141 (million)
% 46.59/20.27 % (3251295)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3397176131:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2885 on theBenchmark for (2885ds/431Mi)
% 46.59/20.27 % (3251296)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1208682405:i=6060:aac=none:ins=25_2884 on theBenchmark for (2884ds/6060Mi)
% 46.59/20.27 % (3251275)Instruction limit reached!
% 46.59/20.27 % (3251275)------------------------------
% 46.59/20.27 % (3251275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251275)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251275)Termination reason: Instruction limit
% 46.59/20.27 % (3251275)Termination phase: Saturation
% 46.59/20.27 % (3251275)Time elapsed: 2.967 s
% 46.59/20.27 % (3251275)Peak memory usage: 414 MB
% 46.59/20.27 % (3251275)Instructions burned: 5204 (million)
% 46.59/20.27 % (3251299)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=199260889:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2881 on theBenchmark for (2881ds/150Mi)
% 46.59/20.27 % (3251295)Instruction limit reached!
% 46.59/20.27 % (3251295)------------------------------
% 46.59/20.27 % (3251295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.59/20.27 % (3251295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/20.27 % (3251295)CaDiCaL version: 2.1.3
% 46.59/20.27 % (3251295)Termination reason: Instruction limit
% 92.91/20.54 % (3251295)Termination phase: SInE selection
% 92.91/20.54 % (3251295)Time elapsed: 0.457 s
% 92.91/20.54 % (3251295)Peak memory usage: 202 MB
% 92.91/20.54 % (3251295)Instructions burned: 431 (million)
% 92.91/20.54 % (3251299)Instruction limit reached!
% 92.91/20.54 % (3251299)------------------------------
% 92.91/20.54 % (3251299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.91/20.54 % (3251299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.91/20.54 % (3251299)CaDiCaL version: 2.1.3
% 92.91/20.54 % (3251299)Termination reason: Instruction limit
% 92.91/20.54 % (3251299)Termination phase: SInE selection
% 92.91/20.54 % (3251299)Time elapsed: 0.161 s
% 92.91/20.54 % (3251299)Peak memory usage: 201 MB
% 92.91/20.54 % (3251299)Instructions burned: 150 (million)
% 92.91/20.54 % (3251303)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=878114281:i=14155:bd=all_2878 on theBenchmark for (2878ds/14155Mi)
% 92.91/20.54 % (3251304)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=505809256:i=667:av=off:fsr=off_2877 on theBenchmark for (2877ds/667Mi)
% 92.91/20.54 % (3251304)Instruction limit reached!
% 92.91/20.54 % (3251304)------------------------------
% 92.91/20.54 % (3251304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.91/20.54 % (3251304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.91/20.54 % (3251304)CaDiCaL version: 2.1.3
% 92.91/20.54 % (3251304)Termination reason: Instruction limit
% 92.91/20.54 % (3251304)Termination phase: Preprocessing 2
% 92.91/20.54 % (3251304)Time elapsed: 0.933 s
% 92.91/20.54 % (3251304)Peak memory usage: 218 MB
% 92.91/20.54 % (3251304)Instructions burned: 667 (million)
% 92.91/20.54 % (3251307)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1684129893:s2a=on:i=185:s2at=1.8:fdi=4_2864 on theBenchmark for (2864ds/185Mi)
% 92.91/20.54 % (3251307)Instruction limit reached!
% 92.91/20.54 % (3251307)------------------------------
% 92.91/20.54 % (3251307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.91/20.54 % (3251307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.91/20.54 % (3251307)CaDiCaL version: 2.1.3
% 92.91/20.54 % (3251307)Termination reason: Instruction limit
% 92.91/20.54 % (3251307)Termination phase: SInE selection
% 92.91/20.54 % (3251307)Time elapsed: 0.220 s
% 92.91/20.54 % (3251307)Peak memory usage: 201 MB
% 92.91/20.54 % (3251307)Instructions burned: 185 (million)
% 92.91/20.54 % (3251311)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1533838016:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2859 on theBenchmark for (2859ds/193Mi)
% 92.91/20.54 % (3251311)Instruction limit reached!
% 92.91/20.54 % (3251311)------------------------------
% 92.91/20.54 % (3251311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.91/20.54 % (3251311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.91/20.54 % (3251311)CaDiCaL version: 2.1.3
% 92.91/20.54 % (3251311)Termination reason: Instruction limit
% 92.91/20.54 % (3251311)Termination phase: SInE selection
% 92.91/20.54 % (3251311)Time elapsed: 0.228 s
% 92.91/20.54 % (3251311)Peak memory usage: 201 MB
% 92.91/20.54 % (3251311)Instructions burned: 193 (million)
% 92.91/20.54 % (3251315)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3363535658:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2853 on theBenchmark for (2853ds/4850Mi)
% 92.91/20.54 % (3251296)Instruction limit reached!
% 92.91/20.54 % (3251296)------------------------------
% 92.91/20.54 % (3251296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.91/20.54 % (3251296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.91/20.54 % (3251296)CaDiCaL version: 2.1.3
% 92.91/20.54 % (3251296)Termination reason: Instruction limit
% 92.91/20.54 % (3251296)Termination phase: NewCNF
% 92.91/20.54 % (3251296)Time elapsed: 6.640 s
% 92.91/20.54 % (3251296)Peak memory usage: 381 MB
% 92.91/20.54 % (3251296)Instructions burned: 6060 (million)
% 92.91/20.54 % (3251396)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=48728374:i=12111:sd=1:ss=included_2815 on theBenchmark for (2815ds/12111Mi)
% 92.91/20.54 % (3251242)First to succeed.
% 92.91/20.54 % (3251242)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3251230"
% 92.91/20.54 % (3251242)Refutation found. Thanks to Tanya!
% 92.91/20.54 % SZS status Theorem for theBenchmark
% 92.91/20.54 % SZS output start Proof for theBenchmark
% See solution above
% 92.91/20.54 % (3251242)------------------------------
% 92.91/20.54 % (3251242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.91/20.54 % (3251242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.91/20.54 % (3251242)CaDiCaL version: 2.1.3
% 92.91/20.54 % (3251242)Termination reason: Refutation
% 92.91/20.54 % (3251242)Time elapsed: 11.402 s
% 92.91/20.54 % (3251242)Peak memory usage: 429 MB
% 92.91/20.54 % (3251242)Instructions burned: 12578 (million)
% 92.91/20.54 % (3251242)------------------------------
% 92.91/20.54 % (3251242)------------------------------
% 92.91/20.54 % (3251230)Success in time 19.208 s
% 92.91/20.54 % Vampire exiting
%------------------------------------------------------------------------------