%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT286+2 : 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 11:46:32 AM UTC 2026
% Result : Theorem 8.43s 2.36s
% Output : Refutation 9.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 19 unt; 0 def)
% Number of atoms : 183 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 201 ( 85 ~; 78 |; 25 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 59 ( 57 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f4615,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> v4_pre_topc(k2_pre_topc(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_pre_topc) ).
fof(f4625,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f4687,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f4691,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f4709,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v3_pre_topc(k2_pre_topc(X0),X0)
& v4_pre_topc(k2_pre_topc(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_tops_1) ).
fof(f6413,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_pre_topc(X1,X0)
& v4_pre_topc(X1,X0) )
=> r2_hidden(X1,k1_lopclset(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_lopclset) ).
fof(f6425,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_lopclset) ).
fof(f6427,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).
fof(f6428,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(negated_conjecture,[status(cth)],[f6427]) ).
fof(f6433,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f6498,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k1_lopclset(X0))
| ~ v3_pre_topc(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6413]) ).
fof(f6499,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k1_lopclset(X0))
| ~ v3_pre_topc(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6498]) ).
fof(f6522,plain,
! [X0] :
( u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6425]) ).
fof(f6523,plain,
! [X0] :
( u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6522]) ).
fof(f6526,plain,
? [X0] :
( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6428]) ).
fof(f6527,plain,
? [X0] :
( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f6526]) ).
fof(f6537,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f6538,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f6537]) ).
fof(f6751,plain,
! [X0] :
( ( v3_pre_topc(k2_pre_topc(X0),X0)
& v4_pre_topc(k2_pre_topc(X0),X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4709]) ).
fof(f6752,plain,
! [X0] :
( ( v3_pre_topc(k2_pre_topc(X0),X0)
& v4_pre_topc(k2_pre_topc(X0),X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6751]) ).
fof(f6753,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4691]) ).
fof(f6765,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4625]) ).
fof(f6766,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4615]) ).
fof(f6767,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6766]) ).
fof(f7003,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4687]) ).
fof(f8534,plain,
( ~ m1_subset_1(k2_pre_topc(sK8),u1_struct_0(k6_lopclset(sK8)))
& ~ v3_struct_0(sK8)
& v2_pre_topc(sK8)
& l1_pre_topc(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f6527]) ).
fof(f8539,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f9290,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ v3_pre_topc(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| r2_hidden(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6499]) ).
fof(f9310,plain,
! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6523]) ).
fof(f9312,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f8534]) ).
fof(f9313,plain,
v2_pre_topc(sK8),
inference(cnf_transformation,[],[f8534]) ).
fof(f9314,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f8534]) ).
fof(f9315,plain,
~ m1_subset_1(k2_pre_topc(sK8),u1_struct_0(k6_lopclset(sK8))),
inference(cnf_transformation,[],[f8534]) ).
fof(f9328,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f6538]) ).
fof(f9330,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f8539]) ).
fof(f9703,plain,
! [X0] :
( v3_pre_topc(k2_pre_topc(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6752]) ).
fof(f9704,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6753]) ).
fof(f9716,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f6765]) ).
fof(f9717,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6767]) ).
fof(f9793,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f6433]) ).
fof(f10075,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7003]) ).
fof(f14043,plain,
( v3_struct_0(sK8)
| u1_struct_0(k6_lopclset(sK8)) = k1_lopclset(sK8)
| ~ l1_pre_topc(sK8) ),
inference(resolution,[],[f9310,f9313]) ).
fof(f14044,plain,
( u1_struct_0(k6_lopclset(sK8)) = k1_lopclset(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f14043,f9314]) ).
fof(f14045,plain,
u1_struct_0(k6_lopclset(sK8)) = k1_lopclset(sK8),
inference(forward_subsumption_resolution,[],[f14044,f9312]) ).
fof(f14046,plain,
~ m1_subset_1(k2_pre_topc(sK8),k1_lopclset(sK8)),
inference(superposition,[],[f9315,f14045]) ).
fof(f14062,plain,
l1_struct_0(sK8),
inference(resolution,[],[f10075,f9312]) ).
fof(f14063,plain,
m1_subset_1(k2_pre_topc(sK8),k1_zfmisc_1(u1_struct_0(sK8))),
inference(resolution,[],[f14062,f9704]) ).
fof(f14080,plain,
k2_pre_topc(sK8) = u1_struct_0(sK8),
inference(resolution,[],[f9716,f14062]) ).
fof(f14082,plain,
m1_subset_1(u1_struct_0(sK8),k1_zfmisc_1(u1_struct_0(sK8))),
inference(superposition,[],[f14063,f14080]) ).
fof(f14084,plain,
~ m1_subset_1(u1_struct_0(sK8),k1_lopclset(sK8)),
inference(superposition,[],[f14046,f14080]) ).
fof(f14086,plain,
( v4_pre_topc(u1_struct_0(sK8),sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(superposition,[],[f9717,f14080]) ).
fof(f14087,plain,
( v3_pre_topc(u1_struct_0(sK8),sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(superposition,[],[f9703,f14080]) ).
fof(f14090,plain,
( v3_pre_topc(u1_struct_0(sK8),sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f14087,f9313]) ).
fof(f14091,plain,
( v4_pre_topc(u1_struct_0(sK8),sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f14086,f9313]) ).
fof(f14095,plain,
v3_pre_topc(u1_struct_0(sK8),sK8),
inference(forward_subsumption_resolution,[],[f14090,f9312]) ).
fof(f14096,plain,
v4_pre_topc(u1_struct_0(sK8),sK8),
inference(forward_subsumption_resolution,[],[f14091,f9312]) ).
fof(f14137,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK8)
| ~ v4_pre_topc(X0,sK8)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK8)))
| v3_struct_0(sK8)
| r2_hidden(X0,k1_lopclset(sK8))
| ~ l1_pre_topc(sK8) ),
inference(resolution,[],[f9290,f9313]) ).
fof(f14198,plain,
! [X0] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(resolution,[],[f9330,f9793]) ).
fof(f20791,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK8)
| ~ v4_pre_topc(X0,sK8)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK8)))
| r2_hidden(X0,k1_lopclset(sK8))
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f14137,f9314]) ).
fof(f20793,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK8)
| ~ v4_pre_topc(X0,sK8)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK8)))
| r2_hidden(X0,k1_lopclset(sK8)) ),
inference(forward_subsumption_resolution,[],[f20791,f9312]) ).
fof(f20797,plain,
( ~ v4_pre_topc(u1_struct_0(sK8),sK8)
| ~ m1_subset_1(u1_struct_0(sK8),k1_zfmisc_1(u1_struct_0(sK8)))
| r2_hidden(u1_struct_0(sK8),k1_lopclset(sK8)) ),
inference(resolution,[],[f20793,f14095]) ).
fof(f20798,plain,
( ~ m1_subset_1(u1_struct_0(sK8),k1_zfmisc_1(u1_struct_0(sK8)))
| r2_hidden(u1_struct_0(sK8),k1_lopclset(sK8)) ),
inference(forward_subsumption_resolution,[],[f20797,f14096]) ).
fof(f20799,plain,
r2_hidden(u1_struct_0(sK8),k1_lopclset(sK8)),
inference(forward_subsumption_resolution,[],[f20798,f14082]) ).
fof(f20800,plain,
$false,
inference(unit_resulting_resolution,[],[f9328,f14084,f14198,f20799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT286+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:11:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 8.43/2.36 % (2590928)Detected formulas, will run a generic FOF schedule.
% 8.43/2.36 % (2590934)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=2491672615:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 8.43/2.36 % (2590937)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3983353250:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 8.43/2.36 % (2590935)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=660677649:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 8.43/2.36 % (2590933)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=2353607775:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 8.43/2.36 % (2590936)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4272084718:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 8.43/2.36 % (2590938)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1602355870:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 8.43/2.36 % (2590939)dis-21_1_sil=8000:lcm=predicate:random_seed=2887055598:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 8.43/2.36 % (2590936)Refutation not found, incomplete strategy
% 8.43/2.36 % (2590936)------------------------------
% 8.43/2.36 % (2590936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590936)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590936)Termination reason: Refutation not found, incomplete strategy
% 8.43/2.36 % (2590936)Time elapsed: 0.026 s
% 8.43/2.36 % (2590936)Peak memory usage: 96 MB
% 8.43/2.36 % (2590936)Instructions burned: 33 (million)
% 8.43/2.36 % (2590937)Instruction limit reached!
% 8.43/2.36 % (2590937)------------------------------
% 8.43/2.36 % (2590937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590937)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590937)Termination reason: Instruction limit
% 8.43/2.36 % (2590937)Termination phase: Saturation
% 8.43/2.36 % (2590937)Time elapsed: 0.082 s
% 8.43/2.36 % (2590937)Peak memory usage: 96 MB
% 8.43/2.36 % (2590937)Instructions burned: 119 (million)
% 8.43/2.36 % (2590938)Instruction limit reached!
% 8.43/2.36 % (2590938)------------------------------
% 8.43/2.36 % (2590938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590938)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590938)Termination reason: Instruction limit
% 8.43/2.36 % (2590938)Termination phase: Preprocessing 1
% 8.43/2.36 % (2590938)Time elapsed: 0.086 s
% 8.43/2.36 % (2590938)Peak memory usage: 93 MB
% 8.43/2.36 % (2590938)Instructions burned: 139 (million)
% 8.43/2.36 % (2590939)Instruction limit reached!
% 8.43/2.36 % (2590939)------------------------------
% 8.43/2.36 % (2590939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590939)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590939)Termination reason: Instruction limit
% 8.43/2.36 % (2590939)Termination phase: Preprocessing 3
% 8.43/2.36 % (2590939)Time elapsed: 0.101 s
% 8.43/2.36 % (2590939)Peak memory usage: 97 MB
% 8.43/2.36 % (2590939)Instructions burned: 129 (million)
% 8.43/2.36 % (2590947)lrs+10_1_sil=8000:sp=occurrence:random_seed=787816573:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 8.43/2.36 % (2590948)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3600382993:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 8.43/2.36 % (2590949)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1538345705:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 8.43/2.36 % (2590936)------------------------------
% 8.43/2.36 % (2590936)------------------------------
% 8.43/2.36 % (2590948)Refutation not found, incomplete strategy
% 8.43/2.36 % (2590948)------------------------------
% 8.43/2.36 % (2590948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590948)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590948)Termination reason: Refutation not found, incomplete strategy
% 8.43/2.36 % (2590948)Time elapsed: 0.057 s
% 8.43/2.36 % (2590948)Peak memory usage: 96 MB
% 8.43/2.36 % (2590948)Instructions burned: 105 (million)
% 8.43/2.36 % (2590949)Refutation not found, incomplete strategy
% 8.43/2.36 % (2590949)------------------------------
% 8.43/2.36 % (2590949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590949)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590949)Termination reason: Refutation not found, incomplete strategy
% 8.43/2.36 % (2590949)Time elapsed: 0.027 s
% 8.43/2.36 % (2590949)Peak memory usage: 96 MB
% 8.43/2.36 % (2590949)Instructions burned: 32 (million)
% 8.43/2.36 % (2590947)Instruction limit reached!
% 8.43/2.36 % (2590947)------------------------------
% 8.43/2.36 % (2590947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590947)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590947)Termination reason: Instruction limit
% 8.43/2.36 % (2590947)Termination phase: Saturation
% 8.43/2.36 % (2590947)Time elapsed: 0.199 s
% 8.43/2.36 % (2590947)Peak memory usage: 100 MB
% 8.43/2.36 % (2590947)Instructions burned: 285 (million)
% 8.43/2.36 % (2590953)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=3683912705:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 8.43/2.36 % (2590948)------------------------------
% 8.43/2.36 % (2590948)------------------------------
% 8.43/2.36 % (2590949)------------------------------
% 8.43/2.36 % (2590949)------------------------------
% 8.43/2.36 % (2590954)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3580374990:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 8.43/2.36 % (2590953)Instruction limit reached!
% 8.43/2.36 % (2590953)------------------------------
% 8.43/2.36 % (2590953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590953)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590953)Termination reason: Instruction limit
% 8.43/2.36 % (2590953)Termination phase: Preprocessing 3
% 8.43/2.36 % (2590953)Time elapsed: 0.160 s
% 8.43/2.36 % (2590953)Peak memory usage: 100 MB
% 8.43/2.36 % (2590953)Instructions burned: 249 (million)
% 8.43/2.36 % (2590957)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2550040123:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 8.43/2.36 % (2590956)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4064016593:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 8.43/2.36 % (2590959)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=610135290:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 8.43/2.36 % (2590957)Instruction limit reached!
% 8.43/2.36 % (2590957)------------------------------
% 8.43/2.36 % (2590957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590957)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590957)Termination reason: Instruction limit
% 8.43/2.36 % (2590957)Termination phase: Function definition elimination
% 8.43/2.36 % (2590957)Time elapsed: 0.075 s
% 8.43/2.36 % (2590957)Peak memory usage: 96 MB
% 8.43/2.36 % (2590957)Instructions burned: 115 (million)
% 8.43/2.36 % (2590954)Instruction limit reached!
% 8.43/2.36 % (2590954)------------------------------
% 8.43/2.36 % (2590954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590954)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590954)Termination reason: Instruction limit
% 8.43/2.36 % (2590954)Termination phase: Saturation
% 8.43/2.36 % (2590954)Time elapsed: 0.180 s
% 8.43/2.36 % (2590954)Peak memory usage: 99 MB
% 8.43/2.36 % (2590954)Instructions burned: 297 (million)
% 8.43/2.36 % (2590959)Instruction limit reached!
% 8.43/2.36 % (2590959)------------------------------
% 8.43/2.36 % (2590959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590959)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590959)Termination reason: Instruction limit
% 8.43/2.36 % (2590959)Termination phase: Preprocessing 3
% 8.43/2.36 % (2590959)Time elapsed: 0.095 s
% 8.43/2.36 % (2590959)Peak memory usage: 100 MB
% 8.43/2.36 % (2590959)Instructions burned: 129 (million)
% 8.43/2.36 % (2590963)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2514476832:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 8.43/2.36 % (2590964)lrs+10_1_sil=8000:sp=occurrence:random_seed=1526570943:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 8.43/2.36 % (2590963)Instruction limit reached!
% 8.43/2.36 % (2590963)------------------------------
% 8.43/2.36 % (2590963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590963)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590963)Termination reason: Instruction limit
% 8.43/2.36 % (2590963)Termination phase: Property scanning
% 8.43/2.36 % (2590963)Time elapsed: 0.048 s
% 8.43/2.36 % (2590963)Peak memory usage: 92 MB
% 8.43/2.36 % (2590963)Instructions burned: 114 (million)
% 8.43/2.36 % (2590934)First to succeed.
% 8.43/2.36 % (2590934)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2590928"
% 8.43/2.36 % (2590935)Also succeeded, but the first one will report.
% 8.43/2.36 % (2590965)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4000606335:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 8.43/2.36 % (2590965)Refutation not found, incomplete strategy
% 8.43/2.36 % (2590965)------------------------------
% 8.43/2.36 % (2590965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.36 % (2590965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.36 % (2590965)CaDiCaL version: 2.1.3
% 8.43/2.36 % (2590965)Termination reason: Refutation not found, incomplete strategy
% 8.43/2.36 % (2590965)Time elapsed: 0.046 s
% 8.43/2.36 % (2590965)Peak memory usage: 97 MB
% 8.43/2.36 % (2590965)Instructions burned: 62 (million)
% 8.43/2.36 % (2590968)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4033363814:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 8.43/2.36 % (2590934)Refutation found. Thanks to Tanya!
% 8.43/2.36 % SZS status Theorem for theBenchmark
% 8.43/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 9.60/2.56 % (2590934)------------------------------
% 9.60/2.56 % (2590934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.56 % (2590934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.56 % (2590934)CaDiCaL version: 2.1.3
% 9.60/2.56 % (2590934)Termination reason: Refutation
% 9.60/2.56 % (2590934)Time elapsed: 0.962 s
% 9.60/2.56 % (2590934)Peak memory usage: 186 MB
% 9.60/2.56 % (2590934)Instructions burned: 2609 (million)
% 9.60/2.56 % (2590934)------------------------------
% 9.60/2.56 % (2590934)------------------------------
% 9.60/2.56 % (2590928)Success in time 1.516 s
% 9.60/2.56 % Vampire exiting
%------------------------------------------------------------------------------