%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT304+3 : 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 11:46:43 AM UTC 2026
% Result : Theorem 10.33s 2.39s
% Output : Refutation 11.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 86 ( 14 unt; 5 def)
% Number of atoms : 320 ( 12 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 367 ( 133 ~; 146 |; 67 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 55 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8588,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f13531,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f13600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f13611,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f13612,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
inference(negated_conjecture,[status(cth)],[f13611]) ).
fof(f13636,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f9363]) ).
fof(f13697,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13531]) ).
fof(f13698,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13697]) ).
fof(f13822,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13600]) ).
fof(f13823,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13822]) ).
fof(f13844,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13612]) ).
fof(f13845,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13844]) ).
fof(f13872,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8588]) ).
fof(f13873,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13872]) ).
fof(f13960,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f13961,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13960]) ).
fof(f13973,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f13976,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13636]) ).
fof(f13977,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13976]) ).
fof(f13978,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f13979,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13978]) ).
fof(f14181,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13698]) ).
fof(f14201,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13823]) ).
fof(f14207,plain,
( ~ m2_filter_2(u1_struct_0(sK16),sK16)
& ~ v3_struct_0(sK16)
& v10_lattices(sK16)
& l3_lattices(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f13845]) ).
fof(f14315,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14181]) ).
fof(f14418,plain,
! [X0,X1] :
( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14201]) ).
fof(f14457,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f14207]) ).
fof(f14458,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f14207]) ).
fof(f14459,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f14207]) ).
fof(f14460,plain,
~ m2_filter_2(u1_struct_0(sK16),sK16),
inference(cnf_transformation,[],[f14207]) ).
fof(f14495,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13873]) ).
fof(f14578,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13961]) ).
fof(f14598,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13973]) ).
fof(f14601,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13977]) ).
fof(f14610,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13979]) ).
fof(f15051,definition,
( spl108_1
<=> v3_struct_0(sK16) ),
introduced(definition,[new_symbols(definition,[spl108_1])],[avatar_definition]) ).
fof(f15053,plain,
( ~ v3_struct_0(sK16)
| spl108_1 ),
inference(avatar_component_clause,[],[f15051]) ).
fof(f15054,plain,
~ spl108_1,
inference(avatar_split_clause,[],[f14459,f15051]) ).
fof(f15056,definition,
( spl108_2
<=> m2_filter_2(u1_struct_0(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl108_2])],[avatar_definition]) ).
fof(f15058,plain,
( ~ m2_filter_2(u1_struct_0(sK16),sK16)
| spl108_2 ),
inference(avatar_component_clause,[],[f15056]) ).
fof(f15059,plain,
~ spl108_2,
inference(avatar_split_clause,[],[f14460,f15056]) ).
fof(f15314,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16) )
| spl108_1 ),
inference(resolution,[],[f15053,f14418]) ).
fof(f15423,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15053,f14578]) ).
fof(f15447,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15053,f14601]) ).
fof(f15456,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15053,f14610]) ).
fof(f15949,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15456,f14457]) ).
fof(f15956,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15447,f14458]) ).
fof(f15980,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15423,f14457]) ).
fof(f16089,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16))
| ~ l3_lattices(sK16) )
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15314,f14458]) ).
fof(f16347,plain,
( v10_lattices(k1_lattice2(sK16))
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15956,f14457]) ).
fof(f16476,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16)) )
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f16089,f14457]) ).
fof(f16676,definition,
( spl108_3
<=> l3_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl108_3])],[avatar_definition]) ).
fof(f16678,plain,
( l3_lattices(sK16)
| ~ spl108_3 ),
inference(avatar_component_clause,[],[f16676]) ).
fof(f16679,plain,
spl108_3,
inference(avatar_split_clause,[],[f14457,f16676]) ).
fof(f17398,plain,
( l3_lattices(k1_lattice2(sK16))
| ~ spl108_3 ),
inference(resolution,[],[f16678,f14598]) ).
fof(f17762,definition,
( spl108_6
<=> ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl108_6])],[avatar_definition]) ).
fof(f17763,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK16))
| m2_filter_2(X0,sK16) )
| ~ spl108_6 ),
inference(avatar_component_clause,[],[f17762]) ).
fof(f17764,plain,
( spl108_6
| spl108_1 ),
inference(avatar_split_clause,[],[f16476,f15051,f17762]) ).
fof(f17767,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| v3_struct_0(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| ~ spl108_6 ),
inference(resolution,[],[f17763,f14315]) ).
fof(f17786,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| spl108_1
| ~ spl108_6 ),
inference(forward_subsumption_resolution,[],[f17767,f15949]) ).
fof(f17797,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| spl108_1
| ~ spl108_6 ),
inference(forward_subsumption_resolution,[],[f17786,f16347]) ).
fof(f17806,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16)) )
| spl108_1
| ~ spl108_3
| ~ spl108_6 ),
inference(forward_subsumption_resolution,[],[f17797,f17398]) ).
fof(f17881,definition,
( spl108_9
<=> ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl108_9])],[avatar_definition]) ).
fof(f17882,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK16))
| m2_filter_2(X0,sK16) )
| ~ spl108_9 ),
inference(avatar_component_clause,[],[f17881]) ).
fof(f17883,plain,
( spl108_9
| spl108_1
| ~ spl108_3
| ~ spl108_6 ),
inference(avatar_split_clause,[],[f17806,f17762,f16676,f15051,f17881]) ).
fof(f17917,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK16)),sK16)
| v3_struct_0(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| ~ spl108_9 ),
inference(resolution,[],[f17882,f14495]) ).
fof(f17932,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK16)),sK16)
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_9 ),
inference(forward_subsumption_resolution,[],[f17917,f15949]) ).
fof(f17972,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK16)),sK16)
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_9 ),
inference(forward_subsumption_resolution,[],[f17932,f16347]) ).
fof(f18010,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK16)),sK16)
| spl108_1
| ~ spl108_3
| ~ spl108_9 ),
inference(forward_subsumption_resolution,[],[f17972,f17398]) ).
fof(f18046,plain,
( m2_filter_2(u1_struct_0(sK16),sK16)
| spl108_1
| ~ spl108_3
| ~ spl108_9 ),
inference(forward_demodulation,[],[f18010,f15980]) ).
fof(f18079,plain,
( $false
| spl108_1
| spl108_2
| ~ spl108_3
| ~ spl108_9 ),
inference(forward_subsumption_resolution,[],[f18046,f15058]) ).
fof(f18080,plain,
( spl108_1
| spl108_2
| ~ spl108_3
| ~ spl108_9 ),
inference(avatar_contradiction_clause,[],[f18079]) ).
cnf(s1,plain,
~ spl108_1,
inference(sat_conversion,[],[f15054]) ).
cnf(s2,plain,
~ spl108_2,
inference(sat_conversion,[],[f15059]) ).
cnf(s3,plain,
spl108_3,
inference(sat_conversion,[],[f16679]) ).
cnf(s6,plain,
( spl108_1
| spl108_6 ),
inference(sat_conversion,[],[f17764]) ).
cnf(s9,plain,
( spl108_1
| ~ spl108_3
| ~ spl108_6
| spl108_9 ),
inference(sat_conversion,[],[f17883]) ).
cnf(s10,plain,
( spl108_1
| spl108_2
| ~ spl108_3
| ~ spl108_9 ),
inference(sat_conversion,[],[f18080]) ).
cnf(s11,plain,
~ spl108_9,
inference(rat,[],[s10,s2,s3,s1]) ).
cnf(s12,plain,
~ spl108_6,
inference(rat,[],[s9,s11,s3,s1]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s6,s12,s1]) ).
fof(f18113,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:25:33 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 10.33/2.39 % (1011798)Detected formulas, will run a generic FOF schedule.
% 10.33/2.39 % (1011808)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2701362595:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.33/2.39 % (1011804)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=665662879:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.33/2.39 % (1011806)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1099140507:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.33/2.39 % (1011807)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1591477446:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.33/2.39 % (1011809)dis-21_1_sil=8000:lcm=predicate:random_seed=3538657347:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 10.33/2.39 % (1011805)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=4033663614:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.33/2.39 % (1011803)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=2454574242:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.33/2.39 % (1011808)Instruction limit reached!
% 10.33/2.39 % (1011808)------------------------------
% 10.33/2.39 % (1011808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011808)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011808)Termination reason: Instruction limit
% 10.33/2.39 % (1011808)Termination phase: Property scanning
% 10.33/2.39 % (1011808)Time elapsed: 0.030 s
% 10.33/2.39 % (1011808)Peak memory usage: 102 MB
% 10.33/2.39 % (1011808)Instructions burned: 140 (million)
% 10.33/2.39 % (1011806)Refutation not found, incomplete strategy
% 10.33/2.39 % (1011806)------------------------------
% 10.33/2.39 % (1011806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011806)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011806)Termination reason: Refutation not found, incomplete strategy
% 10.33/2.39 % (1011806)Time elapsed: 0.068 s
% 10.33/2.39 % (1011806)Peak memory usage: 107 MB
% 10.33/2.39 % (1011806)Instructions burned: 83 (million)
% 10.33/2.39 % (1011807)Instruction limit reached!
% 10.33/2.39 % (1011807)------------------------------
% 10.33/2.39 % (1011807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011807)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011807)Termination reason: Instruction limit
% 10.33/2.39 % (1011807)Termination phase: Equality resolution with deletion
% 10.33/2.39 % (1011807)Time elapsed: 0.093 s
% 10.33/2.39 % (1011807)Peak memory usage: 105 MB
% 10.33/2.39 % (1011807)Instructions burned: 121 (million)
% 10.33/2.39 % (1011809)Instruction limit reached!
% 10.33/2.39 % (1011809)------------------------------
% 10.33/2.39 % (1011809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011809)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011809)Termination reason: Instruction limit
% 10.33/2.39 % (1011809)Termination phase: Preprocessing 1
% 10.33/2.39 % (1011809)Time elapsed: 0.097 s
% 10.33/2.39 % (1011809)Peak memory usage: 104 MB
% 10.33/2.39 % (1011809)Instructions burned: 130 (million)
% 10.33/2.39 % (1011817)lrs+10_1_sil=8000:sp=occurrence:random_seed=4244758998:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.33/2.39 % (1011819)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3723550398:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 10.33/2.39 % (1011818)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2985683162:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 10.33/2.39 % (1011817)Instruction limit reached!
% 10.33/2.39 % (1011817)------------------------------
% 10.33/2.39 % (1011817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011817)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011817)Termination reason: Instruction limit
% 10.33/2.39 % (1011817)Termination phase: Saturation
% 10.33/2.39 % (1011817)Time elapsed: 0.110 s
% 10.33/2.39 % (1011817)Peak memory usage: 110 MB
% 10.33/2.39 % (1011817)Instructions burned: 286 (million)
% 10.33/2.39 % (1011806)------------------------------
% 10.33/2.39 % (1011806)------------------------------
% 10.33/2.39 % (1011818)Instruction limit reached!
% 10.33/2.39 % (1011818)------------------------------
% 10.33/2.39 % (1011818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011818)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011818)Termination reason: Instruction limit
% 10.33/2.39 % (1011818)Termination phase: Property scanning
% 10.33/2.39 % (1011818)Time elapsed: 0.068 s
% 10.33/2.39 % (1011818)Peak memory usage: 102 MB
% 10.33/2.39 % (1011818)Instructions burned: 157 (million)
% 10.33/2.39 % (1011819)Refutation not found, incomplete strategy
% 10.33/2.39 % (1011819)------------------------------
% 10.33/2.39 % (1011819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011819)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011819)Termination reason: Refutation not found, incomplete strategy
% 10.33/2.39 % (1011819)Time elapsed: 0.073 s
% 10.33/2.39 % (1011819)Peak memory usage: 107 MB
% 10.33/2.39 % (1011819)Instructions burned: 82 (million)
% 10.33/2.39 % (1011823)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=1174163092:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 10.33/2.39 % (1011823)Instruction limit reached!
% 10.33/2.39 % (1011823)------------------------------
% 10.33/2.39 % (1011823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011823)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011823)Termination reason: Instruction limit
% 10.33/2.39 % (1011823)Termination phase: SInE selection
% 10.33/2.39 % (1011823)Time elapsed: 0.071 s
% 10.33/2.39 % (1011823)Peak memory usage: 103 MB
% 10.33/2.39 % (1011823)Instructions burned: 250 (million)
% 10.33/2.39 % (1011824)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1670495150:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 10.33/2.39 % (1011825)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1500810123:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.33/2.39 % (1011824)Refutation not found, incomplete strategy
% 10.33/2.39 % (1011824)------------------------------
% 10.33/2.39 % (1011824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011824)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011824)Termination reason: Refutation not found, incomplete strategy
% 10.33/2.39 % (1011824)Time elapsed: 0.102 s
% 10.33/2.39 % (1011824)Peak memory usage: 108 MB
% 10.33/2.39 % (1011824)Instructions burned: 143 (million)
% 10.33/2.39 % (1011819)------------------------------
% 10.33/2.39 % (1011819)------------------------------
% 10.33/2.39 % (1011827)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2240824370:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 10.33/2.39 % (1011827)Instruction limit reached!
% 10.33/2.39 % (1011827)------------------------------
% 10.33/2.39 % (1011827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011827)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011827)Termination reason: Instruction limit
% 10.33/2.39 % (1011827)Termination phase: Preprocessing 3
% 10.33/2.39 % (1011827)Time elapsed: 0.066 s
% 10.33/2.39 % (1011827)Peak memory usage: 105 MB
% 10.33/2.39 % (1011827)Instructions burned: 116 (million)
% 10.33/2.39 % (1011831)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=841686800:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 10.33/2.39 % (1011832)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3753412253:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 10.33/2.39 % (1011824)------------------------------
% 10.33/2.39 % (1011824)------------------------------
% 10.33/2.39 % (1011832)Instruction limit reached!
% 10.33/2.39 % (1011832)------------------------------
% 10.33/2.39 % (1011832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011832)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011832)Termination reason: Instruction limit
% 10.33/2.39 % (1011832)Termination phase: Property scanning
% 10.33/2.39 % (1011832)Time elapsed: 0.028 s
% 10.33/2.39 % (1011832)Peak memory usage: 102 MB
% 10.33/2.39 % (1011832)Instructions burned: 119 (million)
% 10.33/2.39 % (1011831)Instruction limit reached!
% 10.33/2.39 % (1011831)------------------------------
% 10.33/2.39 % (1011831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011831)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011831)Termination reason: Instruction limit
% 10.33/2.39 % (1011831)Termination phase: Preprocessing 2
% 10.33/2.39 % (1011831)Time elapsed: 0.101 s
% 10.33/2.39 % (1011831)Peak memory usage: 106 MB
% 10.33/2.39 % (1011831)Instructions burned: 127 (million)
% 10.33/2.39 % (1011836)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=135669210:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.33/2.39 % (1011835)lrs+10_1_sil=8000:sp=occurrence:random_seed=2790801770:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 10.33/2.39 % (1011836)Refutation not found, incomplete strategy
% 10.33/2.39 % (1011836)------------------------------
% 10.33/2.39 % (1011836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.33/2.39 % (1011836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/2.39 % (1011836)CaDiCaL version: 2.1.3
% 10.33/2.39 % (1011836)Termination reason: Refutation not found, incomplete strategy
% 10.33/2.39 % (1011836)Time elapsed: 0.051 s
% 10.33/2.39 % (1011836)Peak memory usage: 108 MB
% 10.33/2.39 % (1011836)Instructions burned: 118 (million)
% 10.33/2.39 % (1011837)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=940269148:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 10.33/2.39 % (1011805)First to succeed.
% 10.33/2.39 % (1011805)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1011798"
% 10.33/2.39 % (1011836)------------------------------
% 10.33/2.39 % (1011836)------------------------------
% 10.33/2.39 % (1011841)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=972344368:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 10.33/2.39 % (1011805)Refutation found. Thanks to Tanya!
% 10.33/2.39 % SZS status Theorem for theBenchmark
% 10.33/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 11.14/2.55 % (1011805)------------------------------
% 11.14/2.55 % (1011805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.14/2.55 % (1011805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.14/2.55 % (1011805)CaDiCaL version: 2.1.3
% 11.14/2.55 % (1011805)Termination reason: Refutation
% 11.14/2.55 % (1011805)Time elapsed: 1.055 s
% 11.14/2.55 % (1011805)Peak memory usage: 160 MB
% 11.14/2.55 % (1011805)Instructions burned: 1626 (million)
% 11.14/2.55 % (1011805)------------------------------
% 11.14/2.55 % (1011805)------------------------------
% 11.14/2.55 % (1011798)Success in time 1.764 s
% 11.14/2.55 % Vampire exiting
%------------------------------------------------------------------------------