%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT304+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:43 AM UTC 2026
% Result : Theorem 9.68s 2.39s
% Output : Refutation 10.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 86 ( 14 unt; 5 def)
% Number of atoms : 330 ( 12 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 387 ( 143 ~; 156 |; 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(f2455,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f2564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2569,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/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f2597,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/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2872,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/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2941,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/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f2952,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f2953,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)],[f2952]) ).
fof(f2977,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,[],[f2569]) ).
fof(f2999,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,[],[f2872]) ).
fof(f3000,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,[],[f2999]) ).
fof(f3134,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,[],[f2941]) ).
fof(f3135,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,[],[f3134]) ).
fof(f3156,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2953]) ).
fof(f3157,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3156]) ).
fof(f3181,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2455]) ).
fof(f3182,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3181]) ).
fof(f3280,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3283,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,[],[f2977]) ).
fof(f3284,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,[],[f3283]) ).
fof(f3285,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2564]) ).
fof(f3286,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3285]) ).
fof(f3418,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,[],[f2597]) ).
fof(f3419,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,[],[f3418]) ).
fof(f3545,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,[],[f3000]) ).
fof(f3565,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,[],[f3135]) ).
fof(f3571,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)],[f3157]) ).
fof(f3746,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,[],[f3545]) ).
fof(f3859,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,[],[f3565]) ).
fof(f3898,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f3571]) ).
fof(f3899,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f3571]) ).
fof(f3900,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f3571]) ).
fof(f3901,plain,
~ m2_filter_2(u1_struct_0(sK16),sK16),
inference(cnf_transformation,[],[f3571]) ).
fof(f3937,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3182]) ).
fof(f4050,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3280]) ).
fof(f4053,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3284]) ).
fof(f4062,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3286]) ).
fof(f4259,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3419]) ).
fof(f4591,definition,
( spl156_1
<=> v3_struct_0(sK16) ),
introduced(definition,[new_symbols(definition,[spl156_1])],[avatar_definition]) ).
fof(f4593,plain,
( ~ v3_struct_0(sK16)
| spl156_1 ),
inference(avatar_component_clause,[],[f4591]) ).
fof(f4594,plain,
~ spl156_1,
inference(avatar_split_clause,[],[f3900,f4591]) ).
fof(f4596,definition,
( spl156_2
<=> m2_filter_2(u1_struct_0(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl156_2])],[avatar_definition]) ).
fof(f4598,plain,
( ~ m2_filter_2(u1_struct_0(sK16),sK16)
| spl156_2 ),
inference(avatar_component_clause,[],[f4596]) ).
fof(f4599,plain,
~ spl156_2,
inference(avatar_split_clause,[],[f3901,f4596]) ).
fof(f4770,definition,
( spl156_3
<=> l3_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl156_3])],[avatar_definition]) ).
fof(f4772,plain,
( l3_lattices(sK16)
| ~ spl156_3 ),
inference(avatar_component_clause,[],[f4770]) ).
fof(f4773,plain,
spl156_3,
inference(avatar_split_clause,[],[f3898,f4770]) ).
fof(f4859,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16) )
| spl156_1 ),
inference(resolution,[],[f4593,f3859]) ).
fof(f4982,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4593,f4053]) ).
fof(f4991,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4593,f4062]) ).
fof(f5006,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4593,f4259]) ).
fof(f5398,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| spl156_1
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f5006,f4772]) ).
fof(f5412,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| spl156_1
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f4991,f4772]) ).
fof(f5419,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(forward_subsumption_resolution,[],[f4982,f3899]) ).
fof(f5542,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16))
| ~ l3_lattices(sK16) )
| spl156_1 ),
inference(forward_subsumption_resolution,[],[f4859,f3899]) ).
fof(f5776,plain,
( v10_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f5419,f4772]) ).
fof(f5898,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f5542,f4772]) ).
fof(f6311,plain,
( l3_lattices(k1_lattice2(sK16))
| ~ spl156_3 ),
inference(resolution,[],[f4772,f4050]) ).
fof(f7148,definition,
( spl156_7
<=> ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl156_7])],[avatar_definition]) ).
fof(f7149,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK16))
| m2_filter_2(X0,sK16) )
| ~ spl156_7 ),
inference(avatar_component_clause,[],[f7148]) ).
fof(f7150,plain,
( spl156_7
| spl156_1
| ~ spl156_3 ),
inference(avatar_split_clause,[],[f5898,f4770,f4591,f7148]) ).
fof(f7153,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)) )
| ~ spl156_7 ),
inference(resolution,[],[f7149,f3746]) ).
fof(f7172,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_3
| ~ spl156_7 ),
inference(forward_subsumption_resolution,[],[f7153,f5412]) ).
fof(f7183,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_3
| ~ spl156_7 ),
inference(forward_subsumption_resolution,[],[f7172,f5776]) ).
fof(f7192,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_3
| ~ spl156_7 ),
inference(forward_subsumption_resolution,[],[f7183,f6311]) ).
fof(f7473,definition,
( spl156_13
<=> ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl156_13])],[avatar_definition]) ).
fof(f7474,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK16))
| m2_filter_2(X0,sK16) )
| ~ spl156_13 ),
inference(avatar_component_clause,[],[f7473]) ).
fof(f7475,plain,
( spl156_13
| spl156_1
| ~ spl156_3
| ~ spl156_7 ),
inference(avatar_split_clause,[],[f7192,f7148,f4770,f4591,f7473]) ).
fof(f7508,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))
| ~ spl156_13 ),
inference(resolution,[],[f7474,f3937]) ).
fof(f7523,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK16)),sK16)
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_3
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f7508,f5412]) ).
fof(f7562,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK16)),sK16)
| ~ l3_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_3
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f7523,f5776]) ).
fof(f7599,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK16)),sK16)
| spl156_1
| ~ spl156_3
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f7562,f6311]) ).
fof(f7634,plain,
( m2_filter_2(u1_struct_0(sK16),sK16)
| spl156_1
| ~ spl156_3
| ~ spl156_13 ),
inference(forward_demodulation,[],[f7599,f5398]) ).
fof(f7666,plain,
( $false
| spl156_1
| spl156_2
| ~ spl156_3
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f7634,f4598]) ).
fof(f7667,plain,
( spl156_1
| spl156_2
| ~ spl156_3
| ~ spl156_13 ),
inference(avatar_contradiction_clause,[],[f7666]) ).
cnf(s1,plain,
~ spl156_1,
inference(sat_conversion,[],[f4594]) ).
cnf(s2,plain,
~ spl156_2,
inference(sat_conversion,[],[f4599]) ).
cnf(s3,plain,
spl156_3,
inference(sat_conversion,[],[f4773]) ).
cnf(s7,plain,
( spl156_1
| ~ spl156_3
| spl156_7 ),
inference(sat_conversion,[],[f7150]) ).
cnf(s17,plain,
( spl156_1
| ~ spl156_3
| ~ spl156_7
| spl156_13 ),
inference(sat_conversion,[],[f7475]) ).
cnf(s18,plain,
( spl156_1
| spl156_2
| ~ spl156_3
| ~ spl156_13 ),
inference(sat_conversion,[],[f7667]) ).
cnf(s19,plain,
~ spl156_13,
inference(rat,[],[s18,s2,s3,s1]) ).
cnf(s20,plain,
~ spl156_7,
inference(rat,[],[s17,s19,s3,s1]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s7,s3,s20,s1]) ).
fof(f7700,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:20:35 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 9.68/2.39 % (2618329)Detected formulas, will run a generic FOF schedule.
% 9.68/2.39 % (2618340)dis-21_1_sil=8000:lcm=predicate:random_seed=3252593580: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)
% 9.68/2.39 % (2618340)Instruction limit reached!
% 9.68/2.39 % (2618340)------------------------------
% 9.68/2.39 % (2618340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618340)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618340)Termination reason: Instruction limit
% 9.68/2.39 % (2618340)Termination phase: Function definition elimination
% 9.68/2.39 % (2618340)Time elapsed: 0.046 s
% 9.68/2.39 % (2618340)Peak memory usage: 93 MB
% 9.68/2.39 % (2618340)Instructions burned: 132 (million)
% 9.68/2.39 % (2618336)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=1601294363:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.68/2.39 % (2618334)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=52409823:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.68/2.39 % (2618335)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=838898544:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.68/2.39 % (2618337)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1329404021:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.68/2.39 % (2618338)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2873255651:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.68/2.39 % (2618339)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1263920300:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.68/2.39 % (2618337)Refutation not found, incomplete strategy
% 9.68/2.39 % (2618337)------------------------------
% 9.68/2.39 % (2618337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618337)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618337)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.39 % (2618337)Time elapsed: 0.014 s
% 9.68/2.39 % (2618337)Peak memory usage: 91 MB
% 9.68/2.39 % (2618337)Instructions burned: 17 (million)
% 9.68/2.39 % (2618338)Instruction limit reached!
% 9.68/2.39 % (2618338)------------------------------
% 9.68/2.39 % (2618338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618338)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618338)Termination reason: Instruction limit
% 9.68/2.39 % (2618338)Termination phase: Saturation
% 9.68/2.39 % (2618338)Time elapsed: 0.079 s
% 9.68/2.39 % (2618338)Peak memory usage: 91 MB
% 9.68/2.39 % (2618338)Instructions burned: 119 (million)
% 9.68/2.39 % (2618339)Instruction limit reached!
% 9.68/2.39 % (2618339)------------------------------
% 9.68/2.39 % (2618339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618339)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618339)Termination reason: Instruction limit
% 9.68/2.39 % (2618339)Termination phase: Property scanning
% 9.68/2.39 % (2618339)Time elapsed: 0.088 s
% 9.68/2.39 % (2618339)Peak memory usage: 94 MB
% 9.68/2.39 % (2618339)Instructions burned: 141 (million)
% 9.68/2.39 % (2618347)lrs+10_1_sil=8000:sp=occurrence:random_seed=2713519602:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.68/2.39 % (2618347)Instruction limit reached!
% 9.68/2.39 % (2618347)------------------------------
% 9.68/2.39 % (2618347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618347)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618347)Termination reason: Instruction limit
% 9.68/2.39 % (2618347)Termination phase: Saturation
% 9.68/2.39 % (2618347)Time elapsed: 0.093 s
% 9.68/2.39 % (2618347)Peak memory usage: 95 MB
% 9.68/2.39 % (2618347)Instructions burned: 286 (million)
% 9.68/2.39 % (2618349)lrs+10_1_sil=32000:urr=on:br=off:random_seed=679910373:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.68/2.39 % (2618350)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2756295093:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.68/2.39 % (2618337)------------------------------
% 9.68/2.39 % (2618337)------------------------------
% 9.68/2.39 % (2618349)Refutation not found, incomplete strategy
% 9.68/2.39 % (2618349)------------------------------
% 9.68/2.39 % (2618349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618349)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618349)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.39 % (2618349)Time elapsed: 0.026 s
% 9.68/2.39 % (2618349)Peak memory usage: 91 MB
% 9.68/2.39 % (2618349)Instructions burned: 44 (million)
% 9.68/2.39 % (2618350)Refutation not found, incomplete strategy
% 9.68/2.39 % (2618350)------------------------------
% 9.68/2.39 % (2618350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618350)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618350)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.39 % (2618350)Time elapsed: 0.016 s
% 9.68/2.39 % (2618350)Peak memory usage: 92 MB
% 9.68/2.39 % (2618350)Instructions burned: 19 (million)
% 9.68/2.39 % (2618352)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=2829552392:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.68/2.39 % (2618355)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2454258888:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.68/2.39 % (2618352)Instruction limit reached!
% 9.68/2.39 % (2618352)------------------------------
% 9.68/2.39 % (2618352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618352)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618352)Termination reason: Instruction limit
% 9.68/2.39 % (2618352)Termination phase: Saturation
% 9.68/2.39 % (2618352)Time elapsed: 0.079 s
% 9.68/2.39 % (2618352)Peak memory usage: 98 MB
% 9.68/2.39 % (2618352)Instructions burned: 250 (million)
% 9.68/2.39 % (2618355)Refutation not found, incomplete strategy
% 9.68/2.39 % (2618355)------------------------------
% 9.68/2.39 % (2618355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618355)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618355)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.39 % (2618355)Time elapsed: 0.032 s
% 9.68/2.39 % (2618355)Peak memory usage: 92 MB
% 9.68/2.39 % (2618355)Instructions burned: 49 (million)
% 9.68/2.39 % (2618350)------------------------------
% 9.68/2.39 % (2618350)------------------------------
% 9.68/2.39 % (2618349)------------------------------
% 9.68/2.39 % (2618349)------------------------------
% 9.68/2.39 % (2618358)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3177865348:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.68/2.39 % (2618360)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1887842870:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.68/2.39 % (2618359)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2958217850:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.68/2.39 % (2618355)------------------------------
% 9.68/2.39 % (2618355)------------------------------
% 9.68/2.39 % (2618359)Instruction limit reached!
% 9.68/2.39 % (2618359)------------------------------
% 9.68/2.39 % (2618359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618359)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618359)Termination reason: Instruction limit
% 9.68/2.39 % (2618359)Termination phase: Saturation
% 9.68/2.39 % (2618359)Time elapsed: 0.067 s
% 9.68/2.39 % (2618359)Peak memory usage: 93 MB
% 9.68/2.39 % (2618359)Instructions burned: 114 (million)
% 9.68/2.39 % (2618360)Instruction limit reached!
% 9.68/2.39 % (2618360)------------------------------
% 9.68/2.39 % (2618360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618360)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618360)Termination reason: Instruction limit
% 9.68/2.39 % (2618360)Termination phase: Property scanning
% 9.68/2.39 % (2618360)Time elapsed: 0.078 s
% 9.68/2.39 % (2618360)Peak memory usage: 93 MB
% 9.68/2.39 % (2618360)Instructions burned: 128 (million)
% 9.68/2.39 % (2618364)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1632681053:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.68/2.39 % (2618365)lrs+10_1_sil=8000:sp=occurrence:random_seed=71926944:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 9.68/2.39 % (2618366)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=148309943:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.68/2.39 % (2618364)Instruction limit reached!
% 9.68/2.39 % (2618364)------------------------------
% 9.68/2.39 % (2618364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618364)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618364)Termination reason: Instruction limit
% 9.68/2.39 % (2618364)Termination phase: Property scanning
% 9.68/2.39 % (2618364)Time elapsed: 0.060 s
% 9.68/2.39 % (2618364)Peak memory usage: 90 MB
% 9.68/2.39 % (2618364)Instructions burned: 114 (million)
% 9.68/2.39 % (2618336)First to succeed.
% 9.68/2.39 % (2618336)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2618329"
% 9.68/2.39 % (2618366)Refutation not found, incomplete strategy
% 9.68/2.39 % (2618366)------------------------------
% 9.68/2.39 % (2618366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.39 % (2618366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.39 % (2618366)CaDiCaL version: 2.1.3
% 9.68/2.39 % (2618366)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.39 % (2618366)Time elapsed: 0.040 s
% 9.68/2.39 % (2618366)Peak memory usage: 93 MB
% 9.68/2.39 % (2618366)Instructions burned: 67 (million)
% 9.68/2.39 % (2618370)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=659604639:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 9.68/2.39 % (2618366)------------------------------
% 9.68/2.39 % (2618366)------------------------------
% 9.68/2.39 % (2618336)Refutation found. Thanks to Tanya!
% 9.68/2.39 % SZS status Theorem for theBenchmark
% 9.68/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 10.60/2.59 % (2618336)------------------------------
% 10.60/2.59 % (2618336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (2618336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (2618336)CaDiCaL version: 2.1.3
% 10.60/2.59 % (2618336)Termination reason: Refutation
% 10.60/2.59 % (2618336)Time elapsed: 0.962 s
% 10.60/2.59 % (2618336)Peak memory usage: 142 MB
% 10.60/2.59 % (2618336)Instructions burned: 1491 (million)
% 10.60/2.59 % (2618336)------------------------------
% 10.60/2.59 % (2618336)------------------------------
% 10.60/2.59 % (2618329)Success in time 1.516 s
% 10.60/2.59 % Vampire exiting
%------------------------------------------------------------------------------