%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP641+4 : 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 : n005.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 10:15:14 AM UTC 2026
% Result : Theorem 9.30s 4.27s
% Output : Refutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 60 ( 14 unt; 1 def)
% Number of atoms : 252 ( 9 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 333 ( 141 ~; 137 |; 38 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 69 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18993,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f21864,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k2_group_1(X1) = k2_group_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).
fof(f21867,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> r1_rlvect_1(X2,k2_group_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_group_2) ).
fof(f36508,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f36509,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
fof(f36510,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
inference(negated_conjecture,[status(cth)],[f36509]) ).
fof(f36512,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f36510]) ).
fof(f36513,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f36512]) ).
fof(f36557,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k2_group_1(X1))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21867]) ).
fof(f36558,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k2_group_1(X1))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36557]) ).
fof(f36563,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X1) = k2_group_1(X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21864]) ).
fof(f36564,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X1) = k2_group_1(X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36563]) ).
fof(f36573,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18993]) ).
fof(f36574,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36573]) ).
fof(f36579,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36508]) ).
fof(f36580,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36579]) ).
fof(f36587,plain,
( ~ r2_hidden(k2_group_1(sK1),k1_funct_1(k1_latsubgr(sK1),sK2))
& v1_group_1(sK2)
& m1_group_2(sK2,sK1)
& ~ v3_struct_0(sK1)
& v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f36513]) ).
fof(f36605,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f36580]) ).
fof(f36609,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f36587]) ).
fof(f36610,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f36587]) ).
fof(f36611,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f36587]) ).
fof(f36612,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f36587]) ).
fof(f36613,plain,
m1_group_2(sK2,sK1),
inference(cnf_transformation,[],[f36587]) ).
fof(f36614,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f36587]) ).
fof(f36615,plain,
~ r2_hidden(k2_group_1(sK1),k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(cnf_transformation,[],[f36587]) ).
fof(f36664,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| r1_rlvect_1(X2,k2_group_1(X1))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36558]) ).
fof(f36667,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| k2_group_1(X0) = k2_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36564]) ).
fof(f36688,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36574]) ).
fof(f36694,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36605]) ).
fof(f36742,plain,
! [X0] :
( ~ m1_group_2(X0,sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| k2_group_1(X0) = k2_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f36667,f36610]) ).
fof(f36745,plain,
! [X0] :
( ~ m1_group_2(X0,sK1)
| ~ v3_group_1(sK1)
| k2_group_1(X0) = k2_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f36742,f36612]) ).
fof(f36747,plain,
! [X0] :
( ~ m1_group_2(X0,sK1)
| k2_group_1(X0) = k2_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f36745,f36611]) ).
fof(f36749,plain,
! [X0] :
( ~ m1_group_2(X0,sK1)
| k2_group_1(X0) = k2_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f36747,f36609]) ).
fof(f36750,plain,
k2_group_1(sK1) = k2_group_1(sK2),
inference(resolution,[],[f36749,f36613]) ).
fof(f36820,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| r1_rlvect_1(X0,k2_group_1(X1))
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f36664,f36610]) ).
fof(f36823,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| ~ v3_group_1(sK1)
| r1_rlvect_1(X0,k2_group_1(X1))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f36820,f36612]) ).
fof(f36825,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| r1_rlvect_1(X0,k2_group_1(X1))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f36823,f36611]) ).
fof(f36827,plain,
! [X0,X1] :
( r1_rlvect_1(X0,k2_group_1(X1))
| ~ m1_group_2(X1,sK1)
| ~ m1_group_2(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f36825,f36609]) ).
fof(f36919,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK1),X0))
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f36694,f36610]) ).
fof(f36922,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK1)
| ~ v3_group_1(sK1)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK1),X0))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f36919,f36612]) ).
fof(f36924,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK1)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK1),X0))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f36922,f36611]) ).
fof(f36926,plain,
! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ r1_rlvect_1(X0,X1)
| ~ m1_group_2(X0,sK1)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK1),X0)) ),
inference(forward_subsumption_resolution,[],[f36924,f36609]) ).
fof(f37012,plain,
! [X0] :
( r1_rlvect_1(X0,k2_group_1(sK1))
| ~ m1_group_2(sK2,sK1)
| ~ m1_group_2(X0,sK1) ),
inference(superposition,[],[f36827,f36750]) ).
fof(f37019,definition,
( spl17_21
<=> ! [X0] :
( r1_rlvect_1(X0,k2_group_1(sK1))
| ~ m1_group_2(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition]) ).
fof(f37020,plain,
( ! [X0] :
( r1_rlvect_1(X0,k2_group_1(sK1))
| ~ m1_group_2(X0,sK1) )
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f37019]) ).
fof(f37022,plain,
! [X0] :
( r1_rlvect_1(X0,k2_group_1(sK1))
| ~ m1_group_2(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f37012,f36613]) ).
fof(f37023,plain,
spl17_21,
inference(avatar_split_clause,[],[f37022,f37019]) ).
fof(f37077,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r1_rlvect_1(sK2,X0)
| ~ m1_group_2(sK2,sK1)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK1),sK2)) ),
inference(resolution,[],[f36926,f36614]) ).
fof(f37097,plain,
! [X0] :
( ~ r1_rlvect_1(sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK1),sK2)) ),
inference(forward_subsumption_resolution,[],[f37077,f36613]) ).
fof(f37425,plain,
( ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| r2_hidden(k2_group_1(sK1),k1_funct_1(k1_latsubgr(sK1),sK2))
| ~ m1_group_2(sK2,sK1)
| ~ spl17_21 ),
inference(resolution,[],[f37097,f37020]) ).
fof(f37427,plain,
( ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ m1_group_2(sK2,sK1)
| ~ spl17_21 ),
inference(forward_subsumption_resolution,[],[f37425,f36615]) ).
fof(f37429,plain,
( ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ spl17_21 ),
inference(forward_subsumption_resolution,[],[f37427,f36613]) ).
fof(f37430,plain,
( v3_struct_0(sK1)
| ~ l1_group_1(sK1)
| ~ spl17_21 ),
inference(resolution,[],[f37429,f36688]) ).
fof(f37436,plain,
( ~ l1_group_1(sK1)
| ~ spl17_21 ),
inference(forward_subsumption_resolution,[],[f37430,f36612]) ).
fof(f37437,plain,
( $false
| ~ spl17_21 ),
inference(forward_subsumption_resolution,[],[f37436,f36609]) ).
fof(f37438,plain,
~ spl17_21,
inference(avatar_contradiction_clause,[],[f37437]) ).
cnf(s16,plain,
spl17_21,
inference(sat_conversion,[],[f37023]) ).
cnf(s32,plain,
~ spl17_21,
inference(sat_conversion,[],[f37438]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s16,s32]) ).
fof(f37439,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP641+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:22:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 8.74/4.11 % (3789430)Detected formulas, will run a generic FOF schedule.
% 8.74/4.11 % (3789438)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=244456878:i=109:sd=1:ins=1:gsp=on:ss=axioms_2976 on theBenchmark for (2976ds/109Mi)
% 8.74/4.11 % (3789437)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=3867653026:i=141695:sd=1:nm=32:gsp=on:ss=included_2976 on theBenchmark for (2976ds/141695Mi)
% 8.74/4.11 % (3789436)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=2758092373:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2976 on theBenchmark for (2976ds/134677Mi)
% 8.74/4.11 % (3789435)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=2751990183:i=141193_2976 on theBenchmark for (2976ds/141193Mi)
% 8.74/4.11 % (3789441)dis-21_1_sil=8000:lcm=predicate:random_seed=867099677:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2976 on theBenchmark for (2976ds/129Mi)
% 8.74/4.11 % (3789440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1997281398:s2a=on:i=139:gtg=position_2976 on theBenchmark for (2976ds/139Mi)
% 8.74/4.11 % (3789439)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=898530752:i=119:av=off:ss=axioms_2976 on theBenchmark for (2976ds/119Mi)
% 8.74/4.11 % (3789438)Instruction limit reached!
% 8.74/4.11 % (3789438)------------------------------
% 8.74/4.11 % (3789438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789438)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789438)Termination reason: Instruction limit
% 8.74/4.11 % (3789438)Termination phase: SInE selection
% 8.74/4.11 % (3789438)Time elapsed: 0.051 s
% 8.74/4.11 % (3789438)Peak memory usage: 139 MB
% 8.74/4.11 % (3789438)Instructions burned: 110 (million)
% 8.74/4.11 % (3789440)Instruction limit reached!
% 8.74/4.11 % (3789440)------------------------------
% 8.74/4.11 % (3789440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789440)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789440)Termination reason: Instruction limit
% 8.74/4.11 % (3789440)Termination phase: Property scanning
% 8.74/4.11 % (3789440)Time elapsed: 0.065 s
% 8.74/4.11 % (3789440)Peak memory usage: 139 MB
% 8.74/4.11 % (3789440)Instructions burned: 140 (million)
% 8.74/4.11 % (3789439)Instruction limit reached!
% 8.74/4.11 % (3789439)------------------------------
% 8.74/4.11 % (3789439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789439)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789439)Termination reason: Instruction limit
% 8.74/4.11 % (3789439)Termination phase: SInE selection
% 8.74/4.11 % (3789439)Time elapsed: 0.085 s
% 8.74/4.11 % (3789439)Peak memory usage: 139 MB
% 8.74/4.11 % (3789439)Instructions burned: 119 (million)
% 8.74/4.11 % (3789441)Instruction limit reached!
% 8.74/4.11 % (3789441)------------------------------
% 8.74/4.11 % (3789441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789441)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789441)Termination reason: Instruction limit
% 8.74/4.11 % (3789441)Termination phase: SInE selection
% 8.74/4.11 % (3789441)Time elapsed: 0.090 s
% 8.74/4.11 % (3789441)Peak memory usage: 139 MB
% 8.74/4.11 % (3789441)Instructions burned: 131 (million)
% 8.74/4.11 % (3789449)lrs+10_1_sil=8000:sp=occurrence:random_seed=480374071:i=285:sd=3:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/285Mi)
% 8.74/4.11 % (3789450)lrs+10_1_sil=32000:urr=on:br=off:random_seed=82712098:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/157Mi)
% 8.74/4.11 % (3789451)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3831240852:i=325:sd=1:ss=axioms:sgt=32_2974 on theBenchmark for (2974ds/325Mi)
% 8.74/4.11 % (3789452)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=2733076930:s2a=on:i=248:s2at=1.23:gtg=position_2974 on theBenchmark for (2974ds/248Mi)
% 8.74/4.11 % (3789449)Instruction limit reached!
% 8.74/4.11 % (3789449)------------------------------
% 8.74/4.11 % (3789449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789449)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789449)Termination reason: Instruction limit
% 8.74/4.11 % (3789449)Termination phase: Saturation
% 8.74/4.11 % (3789449)Time elapsed: 0.136 s
% 8.74/4.11 % (3789449)Peak memory usage: 144 MB
% 8.74/4.11 % (3789449)Instructions burned: 285 (million)
% 8.74/4.11 % (3789450)Instruction limit reached!
% 8.74/4.11 % (3789450)------------------------------
% 8.74/4.11 % (3789450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789450)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789450)Termination reason: Instruction limit
% 8.74/4.11 % (3789450)Termination phase: Property scanning
% 8.74/4.11 % (3789450)Time elapsed: 0.073 s
% 8.74/4.11 % (3789450)Peak memory usage: 139 MB
% 8.74/4.11 % (3789450)Instructions burned: 157 (million)
% 8.74/4.11 % (3789452)Instruction limit reached!
% 8.74/4.11 % (3789452)------------------------------
% 8.74/4.11 % (3789452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789452)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789452)Termination reason: Instruction limit
% 8.74/4.11 % (3789452)Termination phase: Property scanning
% 8.74/4.11 % (3789452)Time elapsed: 0.112 s
% 8.74/4.11 % (3789452)Peak memory usage: 139 MB
% 8.74/4.11 % (3789452)Instructions burned: 248 (million)
% 8.74/4.11 % (3789457)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=559139552:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2972 on theBenchmark for (2972ds/294Mi)
% 8.74/4.11 % (3789458)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3712549893:i=2350_2972 on theBenchmark for (2972ds/2350Mi)
% 8.74/4.11 % (3789451)First to succeed.
% 8.74/4.11 % (3789451)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3789430"
% 8.74/4.11 % (3789457)Instruction limit reached!
% 8.74/4.11 % (3789457)------------------------------
% 8.74/4.11 % (3789457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789457)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789457)Termination reason: Instruction limit
% 8.74/4.11 % (3789457)Termination phase: SInE selection
% 8.74/4.11 % (3789457)Time elapsed: 0.112 s
% 8.74/4.11 % (3789457)Peak memory usage: 140 MB
% 8.74/4.11 % (3789457)Instructions burned: 297 (million)
% 8.74/4.11 % (3789459)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=701104320:cts=off:i=113:fsr=off:ss=included:sgt=4_2971 on theBenchmark for (2971ds/113Mi)
% 8.74/4.11 % (3789462)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3758406522:i=127:av=off:fsr=off:sup=off_2970 on theBenchmark for (2970ds/127Mi)
% 8.74/4.11 % (3789459)Instruction limit reached!
% 8.74/4.11 % (3789459)------------------------------
% 8.74/4.11 % (3789459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789459)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789459)Termination reason: Instruction limit
% 8.74/4.11 % (3789459)Termination phase: SInE selection
% 8.74/4.11 % (3789459)Time elapsed: 0.088 s
% 8.74/4.11 % (3789459)Peak memory usage: 139 MB
% 8.74/4.11 % (3789459)Instructions burned: 113 (million)
% 8.74/4.11 % (3789462)Instruction limit reached!
% 8.74/4.11 % (3789462)------------------------------
% 8.74/4.11 % (3789462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/4.11 % (3789462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/4.11 % (3789462)CaDiCaL version: 2.1.3
% 8.74/4.11 % (3789462)Termination reason: Instruction limit
% 8.74/4.11 % (3789462)Termination phase: Preprocessing 1
% 8.74/4.11 % (3789462)Time elapsed: 0.057 s
% 8.74/4.11 % (3789462)Peak memory usage: 140 MB
% 8.74/4.11 % (3789462)Instructions burned: 129 (million)
% 8.74/4.11 % (3789465)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3961166119:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2969 on theBenchmark for (2969ds/114Mi)
% 8.74/4.11 % (3789466)lrs+10_1_sil=8000:sp=occurrence:random_seed=1584509688:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2968 on theBenchmark for (2968ds/907Mi)
% 9.30/4.27 % (3789451)Refutation found. Thanks to Tanya!
% 9.30/4.27 % SZS status Theorem for theBenchmark
% 9.30/4.27 % SZS output start Proof for theBenchmark
% See solution above
% 9.30/4.28 % (3789451)------------------------------
% 9.30/4.28 % (3789451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.30/4.28 % (3789451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.30/4.28 % (3789451)CaDiCaL version: 2.1.3
% 9.30/4.28 % (3789451)Termination reason: Refutation
% 9.30/4.28 % (3789451)Time elapsed: 0.239 s
% 9.30/4.28 % (3789451)Peak memory usage: 146 MB
% 9.30/4.28 % (3789451)Instructions burned: 297 (million)
% 9.30/4.28 % (3789451)------------------------------
% 9.30/4.28 % (3789451)------------------------------
% 9.30/4.28 % (3789430)Success in time 3.25 s
% 9.30/4.28 % Vampire exiting
%------------------------------------------------------------------------------