%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP024+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 : n019.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 0.27s 9.41s
% Output : Refutation 0.27s
% 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(f18256,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(f18318,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f18382,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(f18435,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(f34239,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(f34381,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(f34382,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(f34383,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)],[f34382]) ).
fof(f34481,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,[],[f34381]) ).
fof(f34482,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,[],[f34481]) ).
fof(f34483,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,[],[f34383]) ).
fof(f34484,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,[],[f34483]) ).
fof(f34739,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,[],[f34239]) ).
fof(f34740,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,[],[f34739]) ).
fof(f34815,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,[],[f18435]) ).
fof(f35480,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f18318]) ).
fof(f35663,plain,
! [X0] :
( k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f18382]) ).
fof(f35680,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18256]) ).
fof(f39450,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,[],[f34482]) ).
fof(f39451,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,[],[f39450]) ).
fof(f39452,plain,
( ~ v1_tops_1(sK32,sK31)
& v1_tsp_2(sK32,sK31)
& m1_subset_1(sK32,k1_zfmisc_1(u1_struct_0(sK31)))
& ~ v3_struct_0(sK31)
& v2_pre_topc(sK31)
& l1_pre_topc(sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f34484]) ).
fof(f39584,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,[],[f34815]) ).
fof(f41100,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,[],[f39451]) ).
fof(f41103,plain,
l1_pre_topc(sK31),
inference(cnf_transformation,[],[f39452]) ).
fof(f41104,plain,
v2_pre_topc(sK31),
inference(cnf_transformation,[],[f39452]) ).
fof(f41105,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f39452]) ).
fof(f41106,plain,
m1_subset_1(sK32,k1_zfmisc_1(u1_struct_0(sK31))),
inference(cnf_transformation,[],[f39452]) ).
fof(f41107,plain,
v1_tsp_2(sK32,sK31),
inference(cnf_transformation,[],[f39452]) ).
fof(f41108,plain,
~ v1_tops_1(sK32,sK31),
inference(cnf_transformation,[],[f39452]) ).
fof(f41500,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,[],[f34740]) ).
fof(f41578,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,[],[f39584]) ).
fof(f42669,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f35480]) ).
fof(f42968,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k2_pre_topc(X0) = k6_pre_topc(X0,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f35663]) ).
fof(f42985,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f35680]) ).
fof(f51332,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| v3_struct_0(sK31)
| u1_struct_0(sK31) = k3_tex_4(sK31,X0)
| ~ l1_pre_topc(sK31) ),
inference(resolution,[],[f41104,f41100]) ).
fof(f51337,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| v3_struct_0(sK31)
| k6_pre_topc(sK31,X0) = k6_pre_topc(sK31,k3_tex_4(sK31,X0))
| ~ l1_pre_topc(sK31) ),
inference(resolution,[],[f41500,f41104]) ).
fof(f51338,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f42985,f42669]) ).
fof(f51339,plain,
u1_struct_0(sK31) = k2_pre_topc(sK31),
inference(resolution,[],[f51338,f41103]) ).
fof(f51340,plain,
m1_subset_1(sK32,k1_zfmisc_1(k2_pre_topc(sK31))),
inference(superposition,[],[f41106,f51339]) ).
fof(f51431,plain,
k2_pre_topc(sK31) = k6_pre_topc(sK31,k2_pre_topc(sK31)),
inference(resolution,[],[f42968,f41103]) ).
fof(f51680,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| u1_struct_0(sK31) = k3_tex_4(sK31,X0)
| ~ l1_pre_topc(sK31) ),
inference(forward_subsumption_resolution,[],[f51332,f41105]) ).
fof(f51681,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| k6_pre_topc(sK31,X0) = k6_pre_topc(sK31,k3_tex_4(sK31,X0))
| ~ l1_pre_topc(sK31) ),
inference(forward_subsumption_resolution,[],[f51337,f41105]) ).
fof(f51693,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| u1_struct_0(sK31) = k3_tex_4(sK31,X0) ),
inference(forward_subsumption_resolution,[],[f51680,f41103]) ).
fof(f51694,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| k6_pre_topc(sK31,X0) = k6_pre_topc(sK31,k3_tex_4(sK31,X0)) ),
inference(forward_subsumption_resolution,[],[f51681,f41103]) ).
fof(f51706,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK31)))
| ~ v1_tsp_2(X0,sK31)
| u1_struct_0(sK31) = k3_tex_4(sK31,X0) ),
inference(forward_demodulation,[],[f51693,f51339]) ).
fof(f51707,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK31)))
| k6_pre_topc(sK31,X0) = k6_pre_topc(sK31,k3_tex_4(sK31,X0)) ),
inference(forward_demodulation,[],[f51694,f51339]) ).
fof(f51716,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK31)))
| k3_tex_4(sK31,X0) = k2_pre_topc(sK31) ),
inference(forward_demodulation,[],[f51706,f51339]) ).
fof(f51722,plain,
( ~ m1_subset_1(sK32,k1_zfmisc_1(k2_pre_topc(sK31)))
| k3_tex_4(sK31,sK32) = k2_pre_topc(sK31) ),
inference(resolution,[],[f51716,f41107]) ).
fof(f51723,plain,
k3_tex_4(sK31,sK32) = k2_pre_topc(sK31),
inference(forward_subsumption_resolution,[],[f51722,f51340]) ).
fof(f52094,plain,
k6_pre_topc(sK31,sK32) = k6_pre_topc(sK31,k3_tex_4(sK31,sK32)),
inference(resolution,[],[f51707,f51340]) ).
fof(f52097,plain,
k6_pre_topc(sK31,sK32) = k6_pre_topc(sK31,k2_pre_topc(sK31)),
inference(forward_demodulation,[],[f52094,f51723]) ).
fof(f52104,plain,
k2_pre_topc(sK31) = k6_pre_topc(sK31,sK32),
inference(forward_demodulation,[],[f52097,f51431]) ).
fof(f52109,plain,
$false,
inference(unit_resulting_resolution,[],[f41578,f41103,f41108,f41106,f52104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP024+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 % Computer : n019.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Mon Sep 28 18:50:24 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running first-order theorem proving
% 0.23/0.30 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
% 26.63/6.86 % (105859)Detected formulas, will run a generic FOF schedule.
% 26.63/6.86 % (105879)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3706442924:i=119:av=off:ss=axioms_2973 on theBenchmark for (2973ds/119Mi)
% 26.63/6.86 % (105878)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1180760321:i=109:sd=1:ins=1:gsp=on:ss=axioms_2973 on theBenchmark for (2973ds/109Mi)
% 26.63/6.86 % (105875)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=636973760:i=141193_2973 on theBenchmark for (2973ds/141193Mi)
% 26.63/6.86 % (105876)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=1597788161:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2973 on theBenchmark for (2973ds/134677Mi)
% 26.63/6.86 % (105877)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=2559520566:i=141695:sd=1:nm=32:gsp=on:ss=included_2973 on theBenchmark for (2973ds/141695Mi)
% 26.63/6.86 % (105879)Instruction limit reached!
% 26.63/6.86 % (105879)------------------------------
% 26.63/6.86 % (105879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.63/6.86 % (105879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/6.86 % (105879)CaDiCaL version: 2.1.3
% 26.63/6.86 % (105879)Termination reason: Instruction limit
% 26.63/6.86 % (105879)Termination phase: SInE selection
% 26.63/6.86 % (105879)Time elapsed: 0.073 s
% 26.63/6.86 % (105879)Peak memory usage: 135 MB
% 26.63/6.86 % (105879)Instructions burned: 121 (million)
% 26.63/6.86 % (105881)dis-21_1_sil=8000:lcm=predicate:random_seed=2868879196:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2973 on theBenchmark for (2973ds/129Mi)
% 26.63/6.86 % (105880)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=235061631:s2a=on:i=139:gtg=position_2973 on theBenchmark for (2973ds/139Mi)
% 26.63/6.86 % (105878)Instruction limit reached!
% 26.63/6.86 % (105878)------------------------------
% 26.63/6.86 % (105878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.63/6.86 % (105878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/6.86 % (105878)CaDiCaL version: 2.1.3
% 26.63/6.86 % (105878)Termination reason: Instruction limit
% 26.63/6.86 % (105878)Termination phase: SInE selection
% 26.63/6.86 % (105878)Time elapsed: 0.120 s
% 26.63/6.86 % (105878)Peak memory usage: 136 MB
% 26.63/6.86 % (105878)Instructions burned: 110 (million)
% 26.63/6.86 % (105880)Instruction limit reached!
% 26.63/6.86 % (105880)------------------------------
% 26.63/6.86 % (105880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.63/6.86 % (105880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/6.86 % (105880)CaDiCaL version: 2.1.3
% 26.63/6.86 % (105880)Termination reason: Instruction limit
% 26.63/6.86 % (105880)Termination phase: Property scanning
% 26.63/6.86 % (105880)Time elapsed: 0.120 s
% 26.63/6.86 % (105880)Peak memory usage: 135 MB
% 26.63/6.86 % (105880)Instructions burned: 140 (million)
% 26.63/6.86 % (105881)Instruction limit reached!
% 26.63/6.86 % (105881)------------------------------
% 26.63/6.86 % (105881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.63/6.86 % (105881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/6.86 % (105881)CaDiCaL version: 2.1.3
% 26.63/6.86 % (105881)Termination reason: Instruction limit
% 26.63/6.86 % (105881)Termination phase: SInE selection
% 26.63/6.86 % (105881)Time elapsed: 0.133 s
% 26.63/6.86 % (105881)Peak memory usage: 135 MB
% 26.63/6.86 % (105881)Instructions burned: 130 (million)
% 26.63/6.86 % (105889)lrs+10_1_sil=8000:sp=occurrence:random_seed=2906793297:i=285:sd=3:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/285Mi)
% 26.63/6.86 % (105892)lrs+10_1_sil=32000:urr=on:br=off:random_seed=174816908:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/157Mi)
% 26.63/6.86 % (105892)Instruction limit reached!
% 26.63/6.86 % (105892)------------------------------
% 26.63/6.86 % (105892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.63/6.86 % (105892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/6.86 % (105892)CaDiCaL version: 2.1.3
% 26.63/6.86 % (105892)Termination reason: Instruction limit
% 26.63/6.86 % (105892)Termination phase: Property scanning
% 39.90/8.74 % (105892)Time elapsed: 0.104 s
% 39.90/8.74 % (105892)Peak memory usage: 136 MB
% 39.90/8.74 % (105892)Instructions burned: 157 (million)
% 39.90/8.74 % (105889)Instruction limit reached!
% 39.90/8.74 % (105889)------------------------------
% 39.90/8.74 % (105889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.90/8.74 % (105889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.90/8.74 % (105889)CaDiCaL version: 2.1.3
% 39.90/8.74 % (105889)Termination reason: Instruction limit
% 39.90/8.74 % (105889)Termination phase: Property scanning
% 39.90/8.74 % (105889)Time elapsed: 0.196 s
% 39.90/8.74 % (105889)Peak memory usage: 140 MB
% 39.90/8.74 % (105889)Instructions burned: 285 (million)
% 39.90/8.74 % (105893)lrs+1011_1_sil=32000:sp=occurrence:random_seed=468504504:i=325:sd=1:ss=axioms:sgt=32_2969 on theBenchmark for (2969ds/325Mi)
% 39.90/8.74 % (105894)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=1074724922:s2a=on:i=248:s2at=1.23:gtg=position_2969 on theBenchmark for (2969ds/248Mi)
% 39.90/8.74 % (105897)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=364228395:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2967 on theBenchmark for (2967ds/294Mi)
% 39.90/8.74 % (105894)Instruction limit reached!
% 39.90/8.74 % (105894)------------------------------
% 39.90/8.74 % (105894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.90/8.74 % (105894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.90/8.74 % (105894)CaDiCaL version: 2.1.3
% 39.90/8.74 % (105894)Termination reason: Instruction limit
% 39.90/8.74 % (105894)Termination phase: Property scanning
% 39.90/8.74 % (105894)Time elapsed: 0.209 s
% 39.90/8.74 % (105894)Peak memory usage: 136 MB
% 39.90/8.74 % (105894)Instructions burned: 248 (million)
% 39.90/8.74 % (105898)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2056094238:i=2350_2967 on theBenchmark for (2967ds/2350Mi)
% 39.90/8.74 % (105897)Instruction limit reached!
% 39.90/8.74 % (105897)------------------------------
% 39.90/8.74 % (105897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.90/8.74 % (105897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.90/8.74 % (105897)CaDiCaL version: 2.1.3
% 39.90/8.74 % (105897)Termination reason: Instruction limit
% 39.90/8.74 % (105897)Termination phase: SInE selection
% 39.90/8.74 % (105897)Time elapsed: 0.170 s
% 39.90/8.74 % (105897)Peak memory usage: 136 MB
% 39.90/8.74 % (105897)Instructions burned: 294 (million)
% 39.90/8.74 % (105893)Instruction limit reached!
% 39.90/8.74 % (105893)------------------------------
% 39.90/8.74 % (105893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.90/8.74 % (105893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.90/8.74 % (105893)CaDiCaL version: 2.1.3
% 39.90/8.74 % (105893)Termination reason: Instruction limit
% 39.90/8.74 % (105893)Termination phase: Saturation
% 39.90/8.74 % (105893)Time elapsed: 0.386 s
% 39.90/8.74 % (105893)Peak memory usage: 141 MB
% 39.90/8.74 % (105893)Instructions burned: 325 (million)
% 39.90/8.74 % (105902)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3914314917:cts=off:i=113:fsr=off:ss=included:sgt=4_2964 on theBenchmark for (2964ds/113Mi)
% 39.90/8.74 % (105902)Instruction limit reached!
% 39.90/8.74 % (105902)------------------------------
% 39.90/8.74 % (105902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.90/8.74 % (105902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.90/8.74 % (105902)CaDiCaL version: 2.1.3
% 39.90/8.74 % (105902)Termination reason: Instruction limit
% 39.90/8.74 % (105902)Termination phase: SInE selection
% 39.90/8.74 % (105902)Time elapsed: 0.062 s
% 39.90/8.74 % (105902)Peak memory usage: 135 MB
% 39.90/8.74 % (105902)Instructions burned: 114 (million)
% 39.90/8.74 % (105904)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2583859456:i=127:av=off:fsr=off:sup=off_2963 on theBenchmark for (2963ds/127Mi)
% 39.90/8.74 % (105905)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=955174867:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2962 on theBenchmark for (2962ds/114Mi)
% 39.90/8.74 % (105904)Instruction limit reached!
% 39.90/8.74 % (105904)------------------------------
% 39.90/8.74 % (105904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.90/8.74 % (105904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105904)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105904)Termination reason: Instruction limit
% 22.18/9.15 % (105904)Termination phase: Preprocessing 1
% 22.18/9.15 % (105904)Time elapsed: 0.152 s
% 22.18/9.15 % (105904)Peak memory usage: 137 MB
% 22.18/9.15 % (105904)Instructions burned: 127 (million)
% 22.18/9.15 % (105909)lrs+10_1_sil=8000:sp=occurrence:random_seed=2683624305:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2961 on theBenchmark for (2961ds/907Mi)
% 22.18/9.15 % (105905)Instruction limit reached!
% 22.18/9.15 % (105905)------------------------------
% 22.18/9.15 % (105905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105905)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105905)Termination reason: Instruction limit
% 22.18/9.15 % (105905)Termination phase: Property scanning
% 22.18/9.15 % (105905)Time elapsed: 0.100 s
% 22.18/9.15 % (105905)Peak memory usage: 136 MB
% 22.18/9.15 % (105905)Instructions burned: 114 (million)
% 22.18/9.15 % (105913)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2478602620:i=437:sd=1:aac=none:ss=included_2959 on theBenchmark for (2959ds/437Mi)
% 22.18/9.15 % (105914)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3249065735:i=5202:ss=axioms:sgt=16_2958 on theBenchmark for (2958ds/5202Mi)
% 22.18/9.15 % (105909)Instruction limit reached!
% 22.18/9.15 % (105909)------------------------------
% 22.18/9.15 % (105909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105909)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105909)Termination reason: Instruction limit
% 22.18/9.15 % (105909)Termination phase: Saturation
% 22.18/9.15 % (105909)Time elapsed: 0.493 s
% 22.18/9.15 % (105909)Peak memory usage: 151 MB
% 22.18/9.15 % (105909)Instructions burned: 907 (million)
% 22.18/9.15 % (105919)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1482472298:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2954 on theBenchmark for (2954ds/134Mi)
% 22.18/9.15 % (105913)Instruction limit reached!
% 22.18/9.15 % (105913)------------------------------
% 22.18/9.15 % (105913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105913)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105913)Termination reason: Instruction limit
% 22.18/9.15 % (105913)Termination phase: Saturation
% 22.18/9.15 % (105913)Time elapsed: 0.473 s
% 22.18/9.15 % (105913)Peak memory usage: 142 MB
% 22.18/9.15 % (105913)Instructions burned: 437 (million)
% 22.18/9.15 % (105919)Instruction limit reached!
% 22.18/9.15 % (105919)------------------------------
% 22.18/9.15 % (105919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105919)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105919)Termination reason: Instruction limit
% 22.18/9.15 % (105919)Termination phase: SInE selection
% 22.18/9.15 % (105919)Time elapsed: 0.079 s
% 22.18/9.15 % (105919)Peak memory usage: 136 MB
% 22.18/9.15 % (105919)Instructions burned: 134 (million)
% 22.18/9.15 % (105921)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2302686090:st=8:i=592:sd=3:ep=RST:ss=axioms_2952 on theBenchmark for (2952ds/592Mi)
% 22.18/9.15 % (105922)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=33776493:st=3:i=13193:sd=3:ss=axioms_2951 on theBenchmark for (2951ds/13193Mi)
% 22.18/9.15 % (105921)Instruction limit reached!
% 22.18/9.15 % (105921)------------------------------
% 22.18/9.15 % (105921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105921)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105921)Termination reason: Instruction limit
% 22.18/9.15 % (105921)Termination phase: Naming
% 22.18/9.15 % (105921)Time elapsed: 0.672 s
% 22.18/9.15 % (105921)Peak memory usage: 152 MB
% 22.18/9.15 % (105921)Instructions burned: 592 (million)
% 22.18/9.15 % (105925)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=1695930444:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/125Mi)
% 22.18/9.15 % (105898)Instruction limit reached!
% 22.18/9.15 % (105898)------------------------------
% 22.18/9.15 % (105898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105898)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105898)Termination reason: Instruction limit
% 22.18/9.15 % (105898)Termination phase: Property scanning
% 22.18/9.15 % (105898)Time elapsed: 2.478 s
% 22.18/9.15 % (105898)Peak memory usage: 231 MB
% 22.18/9.15 % (105898)Instructions burned: 2350 (million)
% 22.18/9.15 % (105925)Instruction limit reached!
% 22.18/9.15 % (105925)------------------------------
% 22.18/9.15 % (105925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105925)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105925)Termination reason: Instruction limit
% 22.18/9.15 % (105925)Termination phase: Property scanning
% 22.18/9.15 % (105925)Time elapsed: 0.110 s
% 22.18/9.15 % (105925)Peak memory usage: 136 MB
% 22.18/9.15 % (105925)Instructions burned: 125 (million)
% 22.18/9.15 % (105927)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3955195092:i=134:gtgl=5:slsql=off:gtg=exists_sym_2939 on theBenchmark for (2939ds/134Mi)
% 22.18/9.15 % (105928)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=160232335:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2938 on theBenchmark for (2938ds/141Mi)
% 22.18/9.15 % (105927)Instruction limit reached!
% 22.18/9.15 % (105927)------------------------------
% 22.18/9.15 % (105927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105927)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105927)Termination reason: Instruction limit
% 22.18/9.15 % (105927)Termination phase: Property scanning
% 22.18/9.15 % (105927)Time elapsed: 0.116 s
% 22.18/9.15 % (105927)Peak memory usage: 136 MB
% 22.18/9.15 % (105927)Instructions burned: 134 (million)
% 22.18/9.15 % (105928)Instruction limit reached!
% 22.18/9.15 % (105928)------------------------------
% 22.18/9.15 % (105928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105928)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105928)Termination reason: Instruction limit
% 22.18/9.15 % (105928)Termination phase: SInE selection
% 22.18/9.15 % (105928)Time elapsed: 0.162 s
% 22.18/9.15 % (105928)Peak memory usage: 136 MB
% 22.18/9.15 % (105928)Instructions burned: 141 (million)
% 22.18/9.15 % (105931)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2888396495:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2935 on theBenchmark for (2935ds/431Mi)
% 22.18/9.15 % (105932)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=1956178355:i=6060:aac=none:ins=25_2934 on theBenchmark for (2934ds/6060Mi)
% 22.18/9.15 % (105931)Refutation not found, incomplete strategy
% 22.18/9.15 % (105931)------------------------------
% 22.18/9.15 % (105931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105931)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105931)Termination reason: Refutation not found, incomplete strategy
% 22.18/9.15 % (105931)Time elapsed: 0.295 s
% 22.18/9.15 % (105931)Peak memory usage: 142 MB
% 22.18/9.15 % (105931)Instructions burned: 260 (million)
% 22.18/9.15 % (105931)------------------------------
% 22.18/9.15 % (105931)------------------------------
% 22.18/9.15 % (105876)First to succeed.
% 22.18/9.15 % (105935)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=3684103267:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2924 on theBenchmark for (2924ds/150Mi)
% 22.18/9.15 % (105876)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-105859"
% 22.18/9.15 % (105935)Instruction limit reached!
% 22.18/9.15 % (105935)------------------------------
% 22.18/9.15 % (105935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.18/9.15 % (105935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/9.15 % (105935)CaDiCaL version: 2.1.3
% 22.18/9.15 % (105935)Termination reason: Instruction limit
% 22.18/9.15 % (105935)Termination phase: SInE selection
% 0.27/9.41 % (105935)Time elapsed: 0.163 s
% 0.27/9.41 % (105935)Peak memory usage: 135 MB
% 0.27/9.41 % (105935)Instructions burned: 150 (million)
% 0.27/9.41 % (105937)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2590795635:i=14155:bd=all_2920 on theBenchmark for (2920ds/14155Mi)
% 0.27/9.41 % (105876)Refutation found. Thanks to Tanya!
% 0.27/9.41 % SZS status Theorem for theBenchmark
% 0.27/9.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/9.41 % (105876)------------------------------
% 0.27/9.41 % (105876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/9.41 % (105876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/9.41 % (105876)CaDiCaL version: 2.1.3
% 0.27/9.41 % (105876)Termination reason: Refutation
% 0.27/9.41 % (105876)Time elapsed: 4.921 s
% 0.27/9.41 % (105876)Peak memory usage: 279 MB
% 0.27/9.41 % (105876)Instructions burned: 5048 (million)
% 0.27/9.41 % (105876)------------------------------
% 0.27/9.41 % (105876)------------------------------
% 0.27/9.41 % (105859)Success in time 8.336 s
% 0.27/9.41 % Vampire exiting
%------------------------------------------------------------------------------