%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP024+3 : 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 02:33:53 PM UTC 2026
% Result : Theorem 11.75s 3.83s
% Output : Refutation 18.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 14 unt; 0 def)
% Number of atoms : 180 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 206 ( 79 ~; 76 |; 31 &)
% ( 5 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6788,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(f6850,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f6914,axiom,
! [X0] :
( l1_pre_topc(X0)
=> k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_tops_1) ).
fof(f6967,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tops_1(X1,X0)
<=> k6_pre_topc(X0,X1) = k2_pre_topc(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tops_1) ).
fof(f13334,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)))
=> k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_tex_4) ).
fof(f13476,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)))
=> ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(f13477,conjecture,
! [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)))
=> ( v1_tsp_2(X1,X0)
=> v1_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(f13478,negated_conjecture,
~ ! [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)))
=> ( v1_tsp_2(X1,X0)
=> v1_tops_1(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f13477]) ).
fof(f13544,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(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,[],[f13476]) ).
fof(f13545,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(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,[],[f13544]) ).
fof(f13546,plain,
? [X0] :
( ? [X1] :
( ~ v1_tops_1(X1,X0)
& v1_tsp_2(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,[],[f13478]) ).
fof(f13547,plain,
? [X0] :
( ? [X1] :
( ~ v1_tops_1(X1,X0)
& v1_tsp_2(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,[],[f13546]) ).
fof(f13795,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
| ~ 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,[],[f13334]) ).
fof(f13796,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
| ~ 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,[],[f13795]) ).
fof(f13879,plain,
! [X0] :
( ! [X1] :
( ( v1_tops_1(X1,X0)
<=> k6_pre_topc(X0,X1) = k2_pre_topc(X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6967]) ).
fof(f14467,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6850]) ).
fof(f14943,plain,
! [X0] :
( k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6914]) ).
fof(f14961,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f16880,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1) )
& ( ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) )
| ~ v1_tsp_2(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(nnf_transformation,[],[f13545]) ).
fof(f16881,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1) )
& ( ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) )
| ~ v1_tsp_2(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,[],[f16880]) ).
fof(f16882,plain,
( ~ v1_tops_1(sK33,sK32)
& v1_tsp_2(sK33,sK32)
& m1_subset_1(sK33,k1_zfmisc_1(u1_struct_0(sK32)))
& ~ v3_struct_0(sK32)
& v2_pre_topc(sK32)
& l1_pre_topc(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X0,sK32),skolemize(X1,sK33)],[f13547]) ).
fof(f16997,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tops_1(X1,X0)
| k2_pre_topc(X0) != k6_pre_topc(X0,X1) )
& ( k6_pre_topc(X0,X1) = k2_pre_topc(X0)
| ~ v1_tops_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f13879]) ).
fof(f18075,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16881]) ).
fof(f18078,plain,
l1_pre_topc(sK32),
inference(cnf_transformation,[],[f16882]) ).
fof(f18079,plain,
v2_pre_topc(sK32),
inference(cnf_transformation,[],[f16882]) ).
fof(f18080,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f16882]) ).
fof(f18081,plain,
m1_subset_1(sK33,k1_zfmisc_1(u1_struct_0(sK32))),
inference(cnf_transformation,[],[f16882]) ).
fof(f18082,plain,
v1_tsp_2(sK33,sK32),
inference(cnf_transformation,[],[f16882]) ).
fof(f18083,plain,
~ v1_tops_1(sK33,sK32),
inference(cnf_transformation,[],[f16882]) ).
fof(f18429,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13796]) ).
fof(f18523,plain,
! [X0,X1] :
( k2_pre_topc(X0) != k6_pre_topc(X0,X1)
| v1_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16997]) ).
fof(f19504,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f14467]) ).
fof(f20318,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k2_pre_topc(X0) = k6_pre_topc(X0,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f14943]) ).
fof(f20345,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f14961]) ).
fof(f24691,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK32)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK32)))
| v3_struct_0(sK32)
| u1_struct_0(sK32) = k3_tex_4(sK32,X0)
| ~ l1_pre_topc(sK32) ),
inference(resolution,[],[f18075,f18079]) ).
fof(f24696,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f20345,f19504]) ).
fof(f24697,plain,
u1_struct_0(sK32) = k2_pre_topc(sK32),
inference(resolution,[],[f24696,f18078]) ).
fof(f24698,plain,
m1_subset_1(sK33,k1_zfmisc_1(k2_pre_topc(sK32))),
inference(superposition,[],[f18081,f24697]) ).
fof(f24699,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK32)))
| v3_struct_0(sK32)
| k6_pre_topc(sK32,X0) = k6_pre_topc(sK32,k3_tex_4(sK32,X0))
| ~ l1_pre_topc(sK32) ),
inference(resolution,[],[f18429,f18079]) ).
fof(f24780,plain,
k2_pre_topc(sK32) = k6_pre_topc(sK32,k2_pre_topc(sK32)),
inference(resolution,[],[f20318,f18078]) ).
fof(f24871,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK32)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK32)))
| u1_struct_0(sK32) = k3_tex_4(sK32,X0)
| ~ l1_pre_topc(sK32) ),
inference(forward_subsumption_resolution,[],[f24691,f18080]) ).
fof(f24872,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK32)))
| k6_pre_topc(sK32,X0) = k6_pre_topc(sK32,k3_tex_4(sK32,X0))
| ~ l1_pre_topc(sK32) ),
inference(forward_subsumption_resolution,[],[f24699,f18080]) ).
fof(f24878,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK32)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK32)))
| u1_struct_0(sK32) = k3_tex_4(sK32,X0) ),
inference(forward_subsumption_resolution,[],[f24871,f18078]) ).
fof(f24879,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK32)))
| k6_pre_topc(sK32,X0) = k6_pre_topc(sK32,k3_tex_4(sK32,X0)) ),
inference(forward_subsumption_resolution,[],[f24872,f18078]) ).
fof(f24885,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK32)))
| ~ v1_tsp_2(X0,sK32)
| u1_struct_0(sK32) = k3_tex_4(sK32,X0) ),
inference(forward_demodulation,[],[f24878,f24697]) ).
fof(f24886,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK32)))
| k6_pre_topc(sK32,X0) = k6_pre_topc(sK32,k3_tex_4(sK32,X0)) ),
inference(forward_demodulation,[],[f24879,f24697]) ).
fof(f24889,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK32)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK32)))
| k3_tex_4(sK32,X0) = k2_pre_topc(sK32) ),
inference(forward_demodulation,[],[f24885,f24697]) ).
fof(f24890,plain,
( ~ m1_subset_1(sK33,k1_zfmisc_1(k2_pre_topc(sK32)))
| k2_pre_topc(sK32) = k3_tex_4(sK32,sK33) ),
inference(resolution,[],[f24889,f18082]) ).
fof(f24891,plain,
k2_pre_topc(sK32) = k3_tex_4(sK32,sK33),
inference(forward_subsumption_resolution,[],[f24890,f24698]) ).
fof(f24967,plain,
k6_pre_topc(sK32,sK33) = k6_pre_topc(sK32,k3_tex_4(sK32,sK33)),
inference(resolution,[],[f24886,f24698]) ).
fof(f24975,plain,
k6_pre_topc(sK32,k2_pre_topc(sK32)) = k6_pre_topc(sK32,sK33),
inference(forward_demodulation,[],[f24967,f24891]) ).
fof(f24979,plain,
k2_pre_topc(sK32) = k6_pre_topc(sK32,sK33),
inference(forward_demodulation,[],[f24975,f24780]) ).
fof(f24981,plain,
$false,
inference(unit_resulting_resolution,[],[f18523,f18078,f18083,f18081,f24979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP024+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 18:45:38 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 13.84/3.19 % (3876561)Detected formulas, will run a generic FOF schedule.
% 13.84/3.19 % (3876570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2180096268:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.84/3.19 % (3876568)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=1171478194:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.84/3.19 % (3876567)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=2932306702:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.84/3.19 % (3876566)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=63236606:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.84/3.19 % (3876572)dis-21_1_sil=8000:lcm=predicate:random_seed=991581009:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.84/3.19 % (3876569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=850192278:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.84/3.19 % (3876571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2845252094:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.84/3.19 % (3876570)Instruction limit reached!
% 13.84/3.19 % (3876570)------------------------------
% 13.84/3.19 % (3876570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/3.19 % (3876570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/3.19 % (3876570)CaDiCaL version: 2.1.3
% 13.84/3.19 % (3876570)Termination reason: Instruction limit
% 13.84/3.19 % (3876570)Termination phase: Preprocessing 3
% 13.84/3.19 % (3876570)Time elapsed: 0.059 s
% 13.84/3.19 % (3876570)Peak memory usage: 106 MB
% 13.84/3.19 % (3876570)Instructions burned: 121 (million)
% 13.84/3.19 % (3876571)Instruction limit reached!
% 13.84/3.19 % (3876571)------------------------------
% 13.84/3.19 % (3876571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/3.19 % (3876571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/3.19 % (3876571)CaDiCaL version: 2.1.3
% 13.84/3.19 % (3876571)Termination reason: Instruction limit
% 13.84/3.19 % (3876571)Termination phase: Property scanning
% 13.84/3.19 % (3876571)Time elapsed: 0.058 s
% 13.84/3.19 % (3876571)Peak memory usage: 102 MB
% 13.84/3.19 % (3876571)Instructions burned: 140 (million)
% 13.84/3.19 % (3876569)Refutation not found, incomplete strategy
% 13.84/3.19 % (3876569)------------------------------
% 13.84/3.19 % (3876569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/3.19 % (3876569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/3.19 % (3876569)CaDiCaL version: 2.1.3
% 13.84/3.19 % (3876569)Termination reason: Refutation not found, incomplete strategy
% 13.84/3.19 % (3876569)Time elapsed: 0.080 s
% 13.84/3.19 % (3876569)Peak memory usage: 107 MB
% 13.84/3.19 % (3876569)Instructions burned: 99 (million)
% 13.84/3.19 % (3876572)Instruction limit reached!
% 13.84/3.19 % (3876572)------------------------------
% 13.84/3.19 % (3876572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/3.19 % (3876572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/3.19 % (3876572)CaDiCaL version: 2.1.3
% 13.84/3.19 % (3876572)Termination reason: Instruction limit
% 13.84/3.19 % (3876572)Termination phase: Preprocessing 1
% 13.84/3.19 % (3876572)Time elapsed: 0.095 s
% 13.84/3.19 % (3876572)Peak memory usage: 103 MB
% 13.84/3.19 % (3876572)Instructions burned: 130 (million)
% 13.84/3.19 % (3876580)lrs+10_1_sil=8000:sp=occurrence:random_seed=2912094838:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 13.84/3.19 % (3876581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3462823073:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 13.84/3.19 % (3876580)Instruction limit reached!
% 13.84/3.19 % (3876580)------------------------------
% 13.84/3.19 % (3876580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/3.19 % (3876580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/3.19 % (3876580)CaDiCaL version: 2.1.3
% 13.84/3.19 % (3876580)Termination reason: Instruction limit
% 11.75/3.83 % (3876580)Termination phase: Saturation
% 11.75/3.83 % (3876580)Time elapsed: 0.102 s
% 11.75/3.83 % (3876580)Peak memory usage: 110 MB
% 11.75/3.83 % (3876580)Instructions burned: 286 (million)
% 11.75/3.83 % (3876582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2934252196:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 11.75/3.83 % (3876581)Instruction limit reached!
% 11.75/3.83 % (3876581)------------------------------
% 11.75/3.83 % (3876581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876581)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876581)Termination reason: Instruction limit
% 11.75/3.83 % (3876581)Termination phase: Property scanning
% 11.75/3.83 % (3876581)Time elapsed: 0.068 s
% 11.75/3.83 % (3876581)Peak memory usage: 102 MB
% 11.75/3.83 % (3876581)Instructions burned: 158 (million)
% 11.75/3.83 % (3876569)------------------------------
% 11.75/3.83 % (3876569)------------------------------
% 11.75/3.83 % (3876585)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=2753791027:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 11.75/3.83 % (3876585)Instruction limit reached!
% 11.75/3.83 % (3876585)------------------------------
% 11.75/3.83 % (3876585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876585)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876585)Termination reason: Instruction limit
% 11.75/3.83 % (3876585)Termination phase: SInE selection
% 11.75/3.83 % (3876585)Time elapsed: 0.071 s
% 11.75/3.83 % (3876585)Peak memory usage: 103 MB
% 11.75/3.83 % (3876585)Instructions burned: 250 (million)
% 11.75/3.83 % (3876587)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4175516227:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 11.75/3.83 % (3876582)Instruction limit reached!
% 11.75/3.83 % (3876582)------------------------------
% 11.75/3.83 % (3876582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876582)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876582)Termination reason: Instruction limit
% 11.75/3.83 % (3876582)Termination phase: Saturation
% 11.75/3.83 % (3876582)Time elapsed: 0.209 s
% 11.75/3.83 % (3876582)Peak memory usage: 108 MB
% 11.75/3.83 % (3876582)Instructions burned: 325 (million)
% 11.75/3.83 % (3876588)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=547139379:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 11.75/3.83 % (3876590)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1705145023:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 11.75/3.83 % (3876590)Instruction limit reached!
% 11.75/3.83 % (3876590)------------------------------
% 11.75/3.83 % (3876590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876590)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876590)Termination reason: Instruction limit
% 11.75/3.83 % (3876590)Termination phase: Preprocessing 3
% 11.75/3.83 % (3876590)Time elapsed: 0.055 s
% 11.75/3.83 % (3876590)Peak memory usage: 105 MB
% 11.75/3.83 % (3876590)Instructions burned: 113 (million)
% 11.75/3.83 % (3876587)Instruction limit reached!
% 11.75/3.83 % (3876587)------------------------------
% 11.75/3.83 % (3876587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876587)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876587)Termination reason: Instruction limit
% 11.75/3.83 % (3876587)Termination phase: Saturation
% 11.75/3.83 % (3876587)Time elapsed: 0.184 s
% 11.75/3.83 % (3876587)Peak memory usage: 110 MB
% 11.75/3.83 % (3876587)Instructions burned: 294 (million)
% 11.75/3.83 % (3876592)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3035675326:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 11.75/3.83 % (3876595)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1868683436:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 11.75/3.83 % (3876595)Instruction limit reached!
% 11.75/3.83 % (3876595)------------------------------
% 11.75/3.83 % (3876595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876595)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876595)Termination reason: Instruction limit
% 11.75/3.83 % (3876595)Termination phase: Property scanning
% 11.75/3.83 % (3876595)Time elapsed: 0.028 s
% 11.75/3.83 % (3876595)Peak memory usage: 102 MB
% 11.75/3.83 % (3876595)Instructions burned: 118 (million)
% 11.75/3.83 % (3876592)Instruction limit reached!
% 11.75/3.83 % (3876592)------------------------------
% 11.75/3.83 % (3876592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876592)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876592)Termination reason: Instruction limit
% 11.75/3.83 % (3876592)Termination phase: Preprocessing 2
% 11.75/3.83 % (3876592)Time elapsed: 0.107 s
% 11.75/3.83 % (3876592)Peak memory usage: 106 MB
% 11.75/3.83 % (3876592)Instructions burned: 127 (million)
% 11.75/3.83 % (3876596)lrs+10_1_sil=8000:sp=occurrence:random_seed=1409212472:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 11.75/3.83 % (3876599)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1319127816:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 11.75/3.83 % (3876600)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2693159126:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 11.75/3.83 % (3876599)Instruction limit reached!
% 11.75/3.83 % (3876599)------------------------------
% 11.75/3.83 % (3876599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876599)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876599)Termination reason: Instruction limit
% 11.75/3.83 % (3876599)Termination phase: Saturation
% 11.75/3.83 % (3876599)Time elapsed: 0.155 s
% 11.75/3.83 % (3876599)Peak memory usage: 109 MB
% 11.75/3.83 % (3876599)Instructions burned: 440 (million)
% 11.75/3.83 % (3876604)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=667815292:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 11.75/3.83 % (3876604)Instruction limit reached!
% 11.75/3.83 % (3876604)------------------------------
% 11.75/3.83 % (3876604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876604)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876604)Termination reason: Instruction limit
% 11.75/3.83 % (3876604)Termination phase: Function definition elimination
% 11.75/3.83 % (3876604)Time elapsed: 0.058 s
% 11.75/3.83 % (3876604)Peak memory usage: 106 MB
% 11.75/3.83 % (3876604)Instructions burned: 135 (million)
% 11.75/3.83 % (3876606)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3343760955:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 11.75/3.83 % (3876596)Instruction limit reached!
% 11.75/3.83 % (3876596)------------------------------
% 11.75/3.83 % (3876596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876596)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876596)Termination reason: Instruction limit
% 11.75/3.83 % (3876596)Termination phase: Saturation
% 11.75/3.83 % (3876596)Time elapsed: 0.549 s
% 11.75/3.83 % (3876596)Peak memory usage: 121 MB
% 11.75/3.83 % (3876596)Instructions burned: 907 (million)
% 11.75/3.83 % (3876608)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1144805120:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 11.75/3.83 % (3876606)Instruction limit reached!
% 11.75/3.83 % (3876606)------------------------------
% 11.75/3.83 % (3876606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876606)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876606)Termination reason: Instruction limit
% 11.75/3.83 % (3876606)Termination phase: Function definition elimination
% 11.75/3.83 % (3876606)Time elapsed: 0.217 s
% 11.75/3.83 % (3876606)Peak memory usage: 120 MB
% 11.75/3.83 % (3876606)Instructions burned: 594 (million)
% 11.75/3.83 % (3876610)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=2604278802:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 11.75/3.83 % (3876610)Instruction limit reached!
% 11.75/3.83 % (3876610)------------------------------
% 11.75/3.83 % (3876610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876610)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876610)Termination reason: Instruction limit
% 11.75/3.83 % (3876610)Termination phase: Property scanning
% 11.75/3.83 % (3876610)Time elapsed: 0.030 s
% 11.75/3.83 % (3876610)Peak memory usage: 102 MB
% 11.75/3.83 % (3876610)Instructions burned: 127 (million)
% 11.75/3.83 % (3876612)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2150086334:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 11.75/3.83 % (3876612)Instruction limit reached!
% 11.75/3.83 % (3876612)------------------------------
% 11.75/3.83 % (3876612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876612)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876612)Termination reason: Instruction limit
% 11.75/3.83 % (3876612)Termination phase: Property scanning
% 11.75/3.83 % (3876612)Time elapsed: 0.032 s
% 11.75/3.83 % (3876612)Peak memory usage: 102 MB
% 11.75/3.83 % (3876612)Instructions burned: 136 (million)
% 11.75/3.83 % (3876588)Instruction limit reached!
% 11.75/3.83 % (3876588)------------------------------
% 11.75/3.83 % (3876588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876588)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876588)Termination reason: Instruction limit
% 11.75/3.83 % (3876588)Termination phase: Saturation
% 11.75/3.83 % (3876588)Time elapsed: 1.460 s
% 11.75/3.83 % (3876588)Peak memory usage: 238 MB
% 11.75/3.83 % (3876588)Instructions burned: 2351 (million)
% 11.75/3.83 % (3876567)First to succeed.
% 11.75/3.83 % (3876567)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3876561"
% 11.75/3.83 % (3876614)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2058662981:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 11.75/3.83 % (3876614)Refutation not found, incomplete strategy
% 11.75/3.83 % (3876614)------------------------------
% 11.75/3.83 % (3876614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876614)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876614)Termination reason: Refutation not found, incomplete strategy
% 11.75/3.83 % (3876614)Time elapsed: 0.053 s
% 11.75/3.83 % (3876614)Peak memory usage: 108 MB
% 11.75/3.83 % (3876614)Instructions burned: 117 (million)
% 11.75/3.83 % (3876615)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2219600196:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2971 on theBenchmark for (2971ds/431Mi)
% 11.75/3.83 % (3876614)------------------------------
% 11.75/3.83 % (3876614)------------------------------
% 11.75/3.83 % (3876615)Refutation not found, incomplete strategy
% 11.75/3.83 % (3876615)------------------------------
% 11.75/3.83 % (3876615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/3.83 % (3876615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/3.83 % (3876615)CaDiCaL version: 2.1.3
% 11.75/3.83 % (3876615)Termination reason: Refutation not found, incomplete strategy
% 11.75/3.83 % (3876615)Time elapsed: 0.076 s
% 11.75/3.83 % (3876615)Peak memory usage: 107 MB
% 11.75/3.83 % (3876615)Instructions burned: 85 (million)
% 11.75/3.83 % (3876567)Refutation found. Thanks to Tanya!
% 11.75/3.83 % SZS status Theorem for theBenchmark
% 11.75/3.83 % SZS output start Proof for theBenchmark
% See solution above
% 18.84/4.06 % (3876567)------------------------------
% 18.84/4.06 % (3876567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.84/4.06 % (3876567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/4.06 % (3876567)CaDiCaL version: 2.1.3
% 18.84/4.06 % (3876567)Termination reason: Refutation
% 18.84/4.06 % (3876567)Time elapsed: 2.010 s
% 18.84/4.06 % (3876567)Peak memory usage: 203 MB
% 18.84/4.06 % (3876567)Instructions burned: 3283 (million)
% 18.84/4.06 % (3876567)------------------------------
% 18.84/4.06 % (3876567)------------------------------
% 18.84/4.06 % (3876561)Success in time 3.164 s
% 18.84/4.06 % Vampire exiting
%------------------------------------------------------------------------------