%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP024+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12.38s 2.56s
% Output : Refutation 13.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 175 ( 39 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 197 ( 74 ~; 72 |; 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 : 50 ( 46 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2183,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f2309,axiom,
! [X0] :
( l1_pre_topc(X0)
=> k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_tops_1) ).
fof(f2362,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/sandbox/benchmark/theBenchmark.p',d3_tops_1) ).
fof(f3440,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/sandbox/benchmark/theBenchmark.p',t64_tex_4) ).
fof(f3582,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/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(f3583,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/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(f3584,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)],[f3583]) ).
fof(f3628,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,[],[f3582]) ).
fof(f3629,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,[],[f3628]) ).
fof(f3630,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,[],[f3584]) ).
fof(f3631,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,[],[f3630]) ).
fof(f3857,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,[],[f3440]) ).
fof(f3858,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,[],[f3857]) ).
fof(f3937,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,[],[f2362]) ).
fof(f4361,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f4713,plain,
! [X0] :
( k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2309]) ).
fof(f4731,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2183]) ).
fof(f5514,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,[],[f3629]) ).
fof(f5515,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,[],[f5514]) ).
fof(f5516,plain,
( ~ v1_tops_1(sK19,sK18)
& v1_tsp_2(sK19,sK18)
& m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
& ~ v3_struct_0(sK18)
& v2_pre_topc(sK18)
& l1_pre_topc(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X0,sK18),skolemize(X1,sK19)],[f3631]) ).
fof(f5625,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,[],[f3937]) ).
fof(f6220,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| u1_struct_0(X0) = k3_tex_4(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(cnf_transformation,[],[f5515]) ).
fof(f6223,plain,
l1_pre_topc(sK18),
inference(cnf_transformation,[],[f5516]) ).
fof(f6224,plain,
v2_pre_topc(sK18),
inference(cnf_transformation,[],[f5516]) ).
fof(f6225,plain,
~ v3_struct_0(sK18),
inference(cnf_transformation,[],[f5516]) ).
fof(f6226,plain,
m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18))),
inference(cnf_transformation,[],[f5516]) ).
fof(f6227,plain,
v1_tsp_2(sK19,sK18),
inference(cnf_transformation,[],[f5516]) ).
fof(f6228,plain,
~ v1_tops_1(sK19,sK18),
inference(cnf_transformation,[],[f5516]) ).
fof(f6554,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,[],[f3858]) ).
fof(f6645,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,[],[f5625]) ).
fof(f7318,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4361]) ).
fof(f7872,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k2_pre_topc(X0) = k6_pre_topc(X0,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f4713]) ).
fof(f7899,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f4731]) ).
fof(f10036,plain,
( u1_struct_0(sK18) = k3_tex_4(sK18,sK19)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| v3_struct_0(sK18)
| ~ v2_pre_topc(sK18)
| ~ l1_pre_topc(sK18) ),
inference(resolution,[],[f6227,f6220]) ).
fof(f10041,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f7899,f7318]) ).
fof(f10042,plain,
u1_struct_0(sK18) = k2_pre_topc(sK18),
inference(resolution,[],[f10041,f6223]) ).
fof(f10043,plain,
m1_subset_1(sK19,k1_zfmisc_1(k2_pre_topc(sK18))),
inference(superposition,[],[f6226,f10042]) ).
fof(f10048,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| v3_struct_0(sK18)
| k6_pre_topc(sK18,X0) = k6_pre_topc(sK18,k3_tex_4(sK18,X0))
| ~ l1_pre_topc(sK18) ),
inference(resolution,[],[f6554,f6224]) ).
fof(f10049,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| k6_pre_topc(sK18,X0) = k6_pre_topc(sK18,k3_tex_4(sK18,X0))
| ~ l1_pre_topc(sK18) ),
inference(forward_subsumption_resolution,[],[f10048,f6225]) ).
fof(f10050,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| k6_pre_topc(sK18,X0) = k6_pre_topc(sK18,k3_tex_4(sK18,X0)) ),
inference(forward_subsumption_resolution,[],[f10049,f6223]) ).
fof(f10051,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK18)))
| k6_pre_topc(sK18,X0) = k6_pre_topc(sK18,k3_tex_4(sK18,X0)) ),
inference(forward_demodulation,[],[f10050,f10042]) ).
fof(f10052,plain,
k6_pre_topc(sK18,sK19) = k6_pre_topc(sK18,k3_tex_4(sK18,sK19)),
inference(resolution,[],[f10051,f10043]) ).
fof(f10115,plain,
k2_pre_topc(sK18) = k6_pre_topc(sK18,k2_pre_topc(sK18)),
inference(resolution,[],[f7872,f6223]) ).
fof(f10146,plain,
( u1_struct_0(sK18) = k3_tex_4(sK18,sK19)
| v3_struct_0(sK18)
| ~ v2_pre_topc(sK18)
| ~ l1_pre_topc(sK18) ),
inference(forward_subsumption_resolution,[],[f10036,f6226]) ).
fof(f10147,plain,
( u1_struct_0(sK18) = k3_tex_4(sK18,sK19)
| ~ v2_pre_topc(sK18)
| ~ l1_pre_topc(sK18) ),
inference(forward_subsumption_resolution,[],[f10146,f6225]) ).
fof(f10148,plain,
( u1_struct_0(sK18) = k3_tex_4(sK18,sK19)
| ~ l1_pre_topc(sK18) ),
inference(forward_subsumption_resolution,[],[f10147,f6224]) ).
fof(f10149,plain,
u1_struct_0(sK18) = k3_tex_4(sK18,sK19),
inference(forward_subsumption_resolution,[],[f10148,f6223]) ).
fof(f10150,plain,
k3_tex_4(sK18,sK19) = k2_pre_topc(sK18),
inference(forward_demodulation,[],[f10149,f10042]) ).
fof(f10154,plain,
k6_pre_topc(sK18,sK19) = k6_pre_topc(sK18,k2_pre_topc(sK18)),
inference(superposition,[],[f10052,f10150]) ).
fof(f10156,plain,
k2_pre_topc(sK18) = k6_pre_topc(sK18,sK19),
inference(forward_demodulation,[],[f10154,f10115]) ).
fof(f10173,plain,
$false,
inference(unit_resulting_resolution,[],[f6645,f6223,f6228,f6226,f10156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP024+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 18:50:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.38/2.56 % (2190368)Detected formulas, will run a generic FOF schedule.
% 12.38/2.56 % (2190377)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2024317305:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.38/2.56 % (2190374)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=1711906056:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.38/2.56 % (2190375)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=4218075041:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.38/2.56 % (2190373)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=3380576602:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.38/2.56 % (2190376)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4080663509:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.38/2.56 % (2190379)dis-21_1_sil=8000:lcm=predicate:random_seed=1943681658:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.38/2.56 % (2190378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1427923384:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.38/2.56 % (2190377)Instruction limit reached!
% 12.38/2.56 % (2190377)------------------------------
% 12.38/2.56 % (2190377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190377)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190377)Termination reason: Instruction limit
% 12.38/2.56 % (2190377)Termination phase: Saturation
% 12.38/2.56 % (2190377)Time elapsed: 0.042 s
% 12.38/2.56 % (2190377)Peak memory usage: 94 MB
% 12.38/2.56 % (2190377)Instructions burned: 122 (million)
% 12.38/2.56 % (2190376)Refutation not found, incomplete strategy
% 12.38/2.56 % (2190376)------------------------------
% 12.38/2.56 % (2190376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190376)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190376)Termination reason: Refutation not found, incomplete strategy
% 12.38/2.56 % (2190376)Time elapsed: 0.022 s
% 12.38/2.56 % (2190376)Peak memory usage: 92 MB
% 12.38/2.56 % (2190376)Instructions burned: 28 (million)
% 12.38/2.56 % (2190379)Instruction limit reached!
% 12.38/2.56 % (2190379)------------------------------
% 12.38/2.56 % (2190379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190379)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190379)Termination reason: Instruction limit
% 12.38/2.56 % (2190379)Termination phase: Property scanning
% 12.38/2.56 % (2190379)Time elapsed: 0.089 s
% 12.38/2.56 % (2190379)Peak memory usage: 95 MB
% 12.38/2.56 % (2190379)Instructions burned: 129 (million)
% 12.38/2.56 % (2190378)Instruction limit reached!
% 12.38/2.56 % (2190378)------------------------------
% 12.38/2.56 % (2190378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190378)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190378)Termination reason: Instruction limit
% 12.38/2.56 % (2190378)Termination phase: Preprocessing 3
% 12.38/2.56 % (2190378)Time elapsed: 0.096 s
% 12.38/2.56 % (2190378)Peak memory usage: 94 MB
% 12.38/2.56 % (2190378)Instructions burned: 139 (million)
% 12.38/2.56 % (2190387)lrs+10_1_sil=8000:sp=occurrence:random_seed=1420807047:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.38/2.56 % (2190387)Instruction limit reached!
% 12.38/2.56 % (2190387)------------------------------
% 12.38/2.56 % (2190387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190387)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190387)Termination reason: Instruction limit
% 12.38/2.56 % (2190387)Termination phase: Saturation
% 12.38/2.56 % (2190387)Time elapsed: 0.095 s
% 12.38/2.56 % (2190387)Peak memory usage: 97 MB
% 12.38/2.56 % (2190387)Instructions burned: 286 (million)
% 12.38/2.56 % (2190376)------------------------------
% 12.38/2.56 % (2190376)------------------------------
% 12.38/2.56 % (2190389)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1427396499:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.38/2.56 % (2190388)lrs+10_1_sil=32000:urr=on:br=off:random_seed=277329058:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.38/2.56 % (2190388)Refutation not found, incomplete strategy
% 12.38/2.56 % (2190388)------------------------------
% 12.38/2.56 % (2190388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190388)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190388)Termination reason: Refutation not found, incomplete strategy
% 12.38/2.56 % (2190388)Time elapsed: 0.038 s
% 12.38/2.56 % (2190388)Peak memory usage: 93 MB
% 12.38/2.56 % (2190388)Instructions burned: 65 (million)
% 12.38/2.56 % (2190391)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=1723872449:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 12.38/2.56 % (2190394)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3150766412:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.38/2.56 % (2190391)Instruction limit reached!
% 12.38/2.56 % (2190391)------------------------------
% 12.38/2.56 % (2190391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190391)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190391)Termination reason: Instruction limit
% 12.38/2.56 % (2190391)Termination phase: Property scanning
% 12.38/2.56 % (2190391)Time elapsed: 0.078 s
% 12.38/2.56 % (2190391)Peak memory usage: 98 MB
% 12.38/2.56 % (2190391)Instructions burned: 249 (million)
% 12.38/2.56 % (2190389)Instruction limit reached!
% 12.38/2.56 % (2190389)------------------------------
% 12.38/2.56 % (2190389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190389)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190389)Termination reason: Instruction limit
% 12.38/2.56 % (2190389)Termination phase: Saturation
% 12.38/2.56 % (2190389)Time elapsed: 0.197 s
% 12.38/2.56 % (2190389)Peak memory usage: 94 MB
% 12.38/2.56 % (2190389)Instructions burned: 327 (million)
% 12.38/2.56 % (2190388)------------------------------
% 12.38/2.56 % (2190388)------------------------------
% 12.38/2.56 % (2190397)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=345691505:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 12.38/2.56 % (2190394)Instruction limit reached!
% 12.38/2.56 % (2190394)------------------------------
% 12.38/2.56 % (2190394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190394)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190394)Termination reason: Instruction limit
% 12.38/2.56 % (2190394)Termination phase: Saturation
% 12.38/2.56 % (2190394)Time elapsed: 0.164 s
% 12.38/2.56 % (2190394)Peak memory usage: 96 MB
% 12.38/2.56 % (2190394)Instructions burned: 294 (million)
% 12.38/2.56 % (2190398)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1288056947:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.38/2.56 % (2190398)Instruction limit reached!
% 12.38/2.56 % (2190398)------------------------------
% 12.38/2.56 % (2190398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190398)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190398)Termination reason: Instruction limit
% 12.38/2.56 % (2190398)Termination phase: Property scanning
% 12.38/2.56 % (2190398)Time elapsed: 0.068 s
% 12.38/2.56 % (2190398)Peak memory usage: 93 MB
% 12.38/2.56 % (2190398)Instructions burned: 116 (million)
% 12.38/2.56 % (2190401)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=753702816:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.38/2.56 % (2190402)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2019879396:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 12.38/2.56 % (2190401)Instruction limit reached!
% 12.38/2.56 % (2190401)------------------------------
% 12.38/2.56 % (2190401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190401)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190401)Termination reason: Instruction limit
% 12.38/2.56 % (2190401)Termination phase: Preprocessing 3
% 12.38/2.56 % (2190401)Time elapsed: 0.084 s
% 12.38/2.56 % (2190401)Peak memory usage: 96 MB
% 12.38/2.56 % (2190401)Instructions burned: 127 (million)
% 12.38/2.56 % (2190402)Instruction limit reached!
% 12.38/2.56 % (2190402)------------------------------
% 12.38/2.56 % (2190402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190402)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190402)Termination reason: Instruction limit
% 12.38/2.56 % (2190402)Termination phase: Preprocessing 3
% 12.38/2.56 % (2190402)Time elapsed: 0.059 s
% 12.38/2.56 % (2190402)Peak memory usage: 90 MB
% 12.38/2.56 % (2190402)Instructions burned: 114 (million)
% 12.38/2.56 % (2190404)lrs+10_1_sil=8000:sp=occurrence:random_seed=1111030437:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 12.38/2.56 % (2190407)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=139108502:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 12.38/2.56 % (2190408)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1075794998:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.38/2.56 % (2190407)Instruction limit reached!
% 12.38/2.56 % (2190407)------------------------------
% 12.38/2.56 % (2190407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190407)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190407)Termination reason: Instruction limit
% 12.38/2.56 % (2190407)Termination phase: Saturation
% 12.38/2.56 % (2190407)Time elapsed: 0.269 s
% 12.38/2.56 % (2190407)Peak memory usage: 96 MB
% 12.38/2.56 % (2190407)Instructions burned: 438 (million)
% 12.38/2.56 % (2190374)First to succeed.
% 12.38/2.56 % (2190374)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2190368"
% 12.38/2.56 % (2190397)Instruction limit reached!
% 12.38/2.56 % (2190397)------------------------------
% 12.38/2.56 % (2190397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190397)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190397)Termination reason: Instruction limit
% 12.38/2.56 % (2190397)Termination phase: Saturation
% 12.38/2.56 % (2190397)Time elapsed: 0.850 s
% 12.38/2.56 % (2190397)Peak memory usage: 187 MB
% 12.38/2.56 % (2190397)Instructions burned: 2352 (million)
% 12.38/2.56 % (2190412)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2403843086:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 12.38/2.56 % (2190404)Instruction limit reached!
% 12.38/2.56 % (2190404)------------------------------
% 12.38/2.56 % (2190404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190404)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190404)Termination reason: Instruction limit
% 12.38/2.56 % (2190404)Termination phase: Saturation
% 12.38/2.56 % (2190404)Time elapsed: 0.593 s
% 12.38/2.56 % (2190404)Peak memory usage: 106 MB
% 12.38/2.56 % (2190404)Instructions burned: 907 (million)
% 12.38/2.56 % (2190412)Instruction limit reached!
% 12.38/2.56 % (2190412)------------------------------
% 12.38/2.56 % (2190412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.56 % (2190412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.56 % (2190412)CaDiCaL version: 2.1.3
% 12.38/2.56 % (2190412)Termination reason: Instruction limit
% 12.38/2.56 % (2190412)Termination phase: Saturation
% 12.38/2.56 % (2190412)Time elapsed: 0.085 s
% 12.38/2.56 % (2190412)Peak memory usage: 95 MB
% 12.38/2.56 % (2190412)Instructions burned: 134 (million)
% 12.38/2.56 % (2190414)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=489969297:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 12.38/2.56 % (2190374)Refutation found. Thanks to Tanya!
% 12.38/2.56 % SZS status Theorem for theBenchmark
% 13.06/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 13.06/2.76 % (2190374)------------------------------
% 13.06/2.76 % (2190374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.06/2.76 % (2190374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.06/2.76 % (2190374)CaDiCaL version: 2.1.3
% 13.06/2.76 % (2190374)Termination reason: Refutation
% 13.06/2.76 % (2190374)Time elapsed: 1.306 s
% 13.06/2.76 % (2190374)Peak memory usage: 170 MB
% 13.06/2.76 % (2190374)Instructions burned: 2145 (million)
% 13.06/2.76 % (2190374)------------------------------
% 13.06/2.76 % (2190374)------------------------------
% 13.06/2.76 % (2190368)Success in time 1.899 s
% 13.06/2.76 % Vampire exiting
%------------------------------------------------------------------------------