%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT304+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 11:48:19 AM UTC 2026
% Result : Theorem 5.77s 1.40s
% Output : Refutation 6.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 96 ( 15 unt; 3 def)
% Number of atoms : 337 ( 31 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 353 ( 112 ~; 168 |; 57 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2456,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d2_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/sandbox/benchmark/Axioms/SET007/SET007+253.ax',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/sandbox/benchmark/Axioms/SET007/SET007+253.ax',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/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t18_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).
fof(f2878,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_2(k1_filter_2(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_2) ).
fof(f2879,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_2(X0) = k1_filter_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_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/sandbox/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/sandbox/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(f5449,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2456]) ).
fof(f5450,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5449]) ).
fof(f5639,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(f5640,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5639]) ).
fof(f5649,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2569]) ).
fof(f5650,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5649]) ).
fof(f5690,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(f5691,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,[],[f5690]) ).
fof(f5826,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f6047,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2878]) ).
fof(f6048,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6047]) ).
fof(f6049,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2879]) ).
fof(f6050,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6049]) ).
fof(f6170,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(f6171,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,[],[f6170]) ).
fof(f6192,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(f6193,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f6192]) ).
fof(f10854,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f5450]) ).
fof(f11062,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f5640]) ).
fof(f11083,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f5650]) ).
fof(f11190,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f5691]) ).
fof(f11302,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f5826]) ).
fof(f11602,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f6048]) ).
fof(f11603,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = k1_filter_2(X0) ),
inference(cnf_transformation,[],[f6050]) ).
fof(f11706,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f6171]) ).
fof(f11746,plain,
l3_lattices(sK962),
inference(cnf_transformation,[],[f6193]) ).
fof(f11747,plain,
v10_lattices(sK962),
inference(cnf_transformation,[],[f6193]) ).
fof(f11748,plain,
~ v3_struct_0(sK962),
inference(cnf_transformation,[],[f6193]) ).
fof(f11749,plain,
~ m2_filter_2(u1_struct_0(sK962),sK962),
inference(cnf_transformation,[],[f6193]) ).
fof(f17864,plain,
! [X0] :
( ~ v10_lattices(X0)
| l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(consistent_polarity_flipping,[],[f10854]) ).
fof(f18071,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f11062]) ).
fof(f18101,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f11083]) ).
fof(f18186,plain,
! [X0] :
( l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(consistent_polarity_flipping,[],[f11190]) ).
fof(f18301,plain,
! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f11302]) ).
fof(f18545,plain,
! [X0] :
( ~ m1_filter_2(k1_filter_2(X0),X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f11602]) ).
fof(f18546,plain,
! [X0] :
( ~ v10_lattices(X0)
| l3_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = k1_filter_2(X0) ),
inference(consistent_polarity_flipping,[],[f11603]) ).
fof(f18650,plain,
! [X0,X1] :
( m1_filter_2(X1,k1_lattice2(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X0)
| m2_filter_2(X1,X0) ),
inference(consistent_polarity_flipping,[],[f11706]) ).
fof(f18689,plain,
~ l3_lattices(sK962),
inference(consistent_polarity_flipping,[],[f11746]) ).
fof(f32356,plain,
( v3_struct_0(sK962)
| u1_struct_0(sK962) = u1_struct_0(k1_lattice2(sK962)) ),
inference(resolution,[],[f18186,f18689]) ).
fof(f32357,plain,
u1_struct_0(sK962) = u1_struct_0(k1_lattice2(sK962)),
inference(forward_subsumption_resolution,[],[f32356,f11748]) ).
fof(f32435,definition,
( spl963_899
<=> v3_struct_0(k1_lattice2(sK962)) ),
introduced(definition,[new_symbols(definition,[spl963_899])],[avatar_definition]) ).
fof(f32436,plain,
( ~ v3_struct_0(k1_lattice2(sK962))
| spl963_899 ),
inference(avatar_component_clause,[],[f32435]) ).
fof(f32437,plain,
( v3_struct_0(k1_lattice2(sK962))
| ~ spl963_899 ),
inference(avatar_component_clause,[],[f32435]) ).
fof(f32476,definition,
( spl963_908
<=> l3_lattices(k1_lattice2(sK962)) ),
introduced(definition,[new_symbols(definition,[spl963_908])],[avatar_definition]) ).
fof(f32477,plain,
( ~ l3_lattices(k1_lattice2(sK962))
| spl963_908 ),
inference(avatar_component_clause,[],[f32476]) ).
fof(f32478,plain,
( l3_lattices(k1_lattice2(sK962))
| ~ spl963_908 ),
inference(avatar_component_clause,[],[f32476]) ).
fof(f32480,definition,
( spl963_909
<=> v10_lattices(k1_lattice2(sK962)) ),
introduced(definition,[new_symbols(definition,[spl963_909])],[avatar_definition]) ).
fof(f32481,plain,
( v10_lattices(k1_lattice2(sK962))
| ~ spl963_909 ),
inference(avatar_component_clause,[],[f32480]) ).
fof(f32482,plain,
( ~ v10_lattices(k1_lattice2(sK962))
| spl963_909 ),
inference(avatar_component_clause,[],[f32480]) ).
fof(f32488,plain,
( v3_struct_0(sK962)
| l3_lattices(sK962)
| ~ spl963_899 ),
inference(resolution,[],[f32437,f18071]) ).
fof(f32491,plain,
( l3_lattices(sK962)
| ~ spl963_899 ),
inference(forward_subsumption_resolution,[],[f32488,f11748]) ).
fof(f32493,plain,
( $false
| ~ spl963_899 ),
inference(forward_subsumption_resolution,[],[f32491,f18689]) ).
fof(f32494,plain,
~ spl963_899,
inference(avatar_contradiction_clause,[],[f32493]) ).
fof(f32549,plain,
( l3_lattices(sK962)
| ~ spl963_908 ),
inference(resolution,[],[f32478,f18301]) ).
fof(f32550,plain,
( $false
| ~ spl963_908 ),
inference(forward_subsumption_resolution,[],[f32549,f18689]) ).
fof(f32551,plain,
~ spl963_908,
inference(avatar_contradiction_clause,[],[f32550]) ).
fof(f33423,plain,
( ~ v10_lattices(sK962)
| v3_struct_0(sK962)
| l3_lattices(sK962)
| spl963_909 ),
inference(resolution,[],[f32482,f18101]) ).
fof(f33424,plain,
( v3_struct_0(sK962)
| l3_lattices(sK962)
| spl963_909 ),
inference(forward_subsumption_resolution,[],[f33423,f11747]) ).
fof(f33425,plain,
( l3_lattices(sK962)
| spl963_909 ),
inference(forward_subsumption_resolution,[],[f33424,f11748]) ).
fof(f33426,plain,
( $false
| spl963_909 ),
inference(forward_subsumption_resolution,[],[f33425,f18689]) ).
fof(f33427,plain,
spl963_909,
inference(avatar_contradiction_clause,[],[f33426]) ).
fof(f40017,plain,
( l3_lattices(k1_lattice2(sK962))
| v3_struct_0(k1_lattice2(sK962))
| u1_struct_0(k1_lattice2(sK962)) = k1_filter_0(k1_lattice2(sK962))
| ~ spl963_909 ),
inference(resolution,[],[f17864,f32481]) ).
fof(f40044,plain,
( v3_struct_0(k1_lattice2(sK962))
| u1_struct_0(k1_lattice2(sK962)) = k1_filter_0(k1_lattice2(sK962))
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f40017,f32477]) ).
fof(f40058,plain,
( u1_struct_0(k1_lattice2(sK962)) = k1_filter_0(k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f40044,f32436]) ).
fof(f40061,plain,
( u1_struct_0(sK962) = k1_filter_0(k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_demodulation,[],[f40058,f32357]) ).
fof(f40455,plain,
( l3_lattices(k1_lattice2(sK962))
| v3_struct_0(k1_lattice2(sK962))
| k1_filter_0(k1_lattice2(sK962)) = k1_filter_2(k1_lattice2(sK962))
| ~ spl963_909 ),
inference(resolution,[],[f18546,f32481]) ).
fof(f40482,plain,
( v3_struct_0(k1_lattice2(sK962))
| k1_filter_0(k1_lattice2(sK962)) = k1_filter_2(k1_lattice2(sK962))
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f40455,f32477]) ).
fof(f40496,plain,
( k1_filter_0(k1_lattice2(sK962)) = k1_filter_2(k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f40482,f32436]) ).
fof(f42022,plain,
( u1_struct_0(sK962) = k1_filter_2(k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_demodulation,[],[f40496,f40061]) ).
fof(f42023,plain,
( ~ m1_filter_2(u1_struct_0(sK962),k1_lattice2(sK962))
| ~ v10_lattices(k1_lattice2(sK962))
| v3_struct_0(k1_lattice2(sK962))
| l3_lattices(k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(superposition,[],[f18545,f42022]) ).
fof(f42024,plain,
( ~ m1_filter_2(u1_struct_0(sK962),k1_lattice2(sK962))
| v3_struct_0(k1_lattice2(sK962))
| l3_lattices(k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f42023,f32481]) ).
fof(f42025,plain,
( ~ m1_filter_2(u1_struct_0(sK962),k1_lattice2(sK962))
| l3_lattices(k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f42024,f32436]) ).
fof(f42026,plain,
( ~ m1_filter_2(u1_struct_0(sK962),k1_lattice2(sK962))
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f42025,f32477]) ).
fof(f50759,plain,
( ~ v10_lattices(sK962)
| v3_struct_0(sK962)
| l3_lattices(sK962)
| m2_filter_2(u1_struct_0(sK962),sK962)
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(resolution,[],[f18650,f42026]) ).
fof(f50768,plain,
( v3_struct_0(sK962)
| l3_lattices(sK962)
| m2_filter_2(u1_struct_0(sK962),sK962)
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f50759,f11747]) ).
fof(f50772,plain,
( l3_lattices(sK962)
| m2_filter_2(u1_struct_0(sK962),sK962)
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f50768,f11748]) ).
fof(f50776,plain,
( m2_filter_2(u1_struct_0(sK962),sK962)
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f50772,f18689]) ).
fof(f50777,plain,
( $false
| spl963_899
| spl963_908
| ~ spl963_909 ),
inference(forward_subsumption_resolution,[],[f50776,f11749]) ).
fof(f50778,plain,
( spl963_899
| spl963_908
| ~ spl963_909 ),
inference(avatar_contradiction_clause,[],[f50777]) ).
cnf(s1089,plain,
~ spl963_899,
inference(sat_conversion,[],[f32494]) ).
cnf(s1098,plain,
~ spl963_908,
inference(sat_conversion,[],[f32551]) ).
cnf(s1131,plain,
spl963_909,
inference(sat_conversion,[],[f33427]) ).
cnf(s2024,plain,
( spl963_899
| spl963_908
| ~ spl963_909 ),
inference(sat_conversion,[],[f50778]) ).
cnf(s2029,plain,
spl963_899,
inference(rat,[],[s2024,s1131,s1098]) ).
cnf(s2040,plain,
$false,
inference(rat,[],[s1089,s2029]) ).
fof(f50779,plain,
$false,
inference(avatar_sat_refutation,[],[s2040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT304+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:25:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.77/1.40 % (1277599)Will run a generic schedule for satisfiability detection.
% 5.77/1.40 % (1277610)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2512374645:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.77/1.40 % (1277605)% WARNING: option uhcvi not known.
% 5.77/1.40 % (1277606)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=847033101:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.77/1.40 % (1277604)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2014379516_2999 on theBenchmark for (2999ds/0Mi)
% 5.77/1.40 % (1277605)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1809152502:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.77/1.40 % (1277607)dis+10_1_sil=32000:sp=arity:random_seed=4132503027:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.77/1.40 % (1277608)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3360939915:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.77/1.40 % (1277609)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1119939814:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.77/1.40 % (1277610)Instruction limit reached!
% 5.77/1.40 % (1277610)------------------------------
% 5.77/1.40 % (1277610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277610)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277610)Termination reason: Instruction limit
% 5.77/1.40 % (1277610)Termination phase: Function definition elimination
% 5.77/1.40 % (1277610)Time elapsed: 0.050 s
% 5.77/1.40 % (1277610)Peak memory usage: 20 MB
% 5.77/1.40 % (1277610)Instructions burned: 159 (million)
% 5.77/1.40 % (1277618)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2458358850:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.77/1.40 % (1277607)Instruction limit reached!
% 5.77/1.40 % (1277607)------------------------------
% 5.77/1.40 % (1277607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277607)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277607)Termination reason: Instruction limit
% 5.77/1.40 % (1277607)Termination phase: Clausification
% 5.77/1.40 % (1277607)Time elapsed: 0.065 s
% 5.77/1.40 % (1277607)Peak memory usage: 19 MB
% 5.77/1.40 % (1277607)Instructions burned: 103 (million)
% 5.77/1.40 % (1277608)Instruction limit reached!
% 5.77/1.40 % (1277608)------------------------------
% 5.77/1.40 % (1277608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277608)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277608)Termination reason: Instruction limit
% 5.77/1.40 % (1277608)Termination phase: NewCNF
% 5.77/1.40 % (1277608)Time elapsed: 0.071 s
% 5.77/1.40 % (1277608)Peak memory usage: 19 MB
% 5.77/1.40 % (1277608)Instructions burned: 117 (million)
% 5.77/1.40 % (1277609)Instruction limit reached!
% 5.77/1.40 % (1277609)------------------------------
% 5.77/1.40 % (1277609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277609)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277609)Termination reason: Instruction limit
% 5.77/1.40 % (1277609)Termination phase: Property scanning
% 5.77/1.40 % (1277609)Time elapsed: 0.078 s
% 5.77/1.40 % (1277609)Peak memory usage: 20 MB
% 5.77/1.40 % (1277609)Instructions burned: 133 (million)
% 5.77/1.40 % (1277620)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4095440720:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.77/1.40 % (1277621)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1867715472:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.77/1.40 % (1277622)ott-21_1_sil=16000:fs=off:random_seed=1438990973:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.77/1.40 % (1277620)Instruction limit reached!
% 5.77/1.40 % (1277620)------------------------------
% 5.77/1.40 % (1277620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277620)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277620)Termination reason: Instruction limit
% 5.77/1.40 % (1277620)Termination phase: Property scanning
% 5.77/1.40 % (1277620)Time elapsed: 0.076 s
% 5.77/1.40 % (1277620)Peak memory usage: 20 MB
% 5.77/1.40 % (1277620)Instructions burned: 131 (million)
% 5.77/1.40 % (1277626)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1047300388:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.77/1.40 % (1277622)Instruction limit reached!
% 5.77/1.40 % (1277622)------------------------------
% 5.77/1.40 % (1277622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277622)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277622)Termination reason: Instruction limit
% 5.77/1.40 % (1277622)Termination phase: Function definition elimination
% 5.77/1.40 % (1277622)Time elapsed: 0.096 s
% 5.77/1.40 % (1277622)Peak memory usage: 20 MB
% 5.77/1.40 % (1277622)Instructions burned: 181 (million)
% 5.77/1.40 % (1277628)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3909203568:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.77/1.40 % (1277618)Instruction limit reached!
% 5.77/1.40 % (1277618)------------------------------
% 5.77/1.40 % (1277618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277618)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277618)Termination reason: Instruction limit
% 5.77/1.40 % (1277618)Termination phase: Finite model building preprocessing
% 5.77/1.40 % (1277618)Time elapsed: 0.165 s
% 5.77/1.40 % (1277618)Peak memory usage: 28 MB
% 5.77/1.40 % (1277618)Instructions burned: 717 (million)
% 5.77/1.40 % (1277630)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2281409697:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.77/1.40 % (1277626)Instruction limit reached!
% 5.77/1.40 % (1277626)------------------------------
% 5.77/1.40 % (1277626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277626)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277626)Termination reason: Instruction limit
% 5.77/1.40 % (1277626)Termination phase: Saturation
% 5.77/1.40 % (1277626)Time elapsed: 0.243 s
% 5.77/1.40 % (1277626)Peak memory usage: 23 MB
% 5.77/1.40 % (1277626)Instructions burned: 477 (million)
% 5.77/1.40 % (1277621)Instruction limit reached!
% 5.77/1.40 % (1277621)------------------------------
% 5.77/1.40 % (1277621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277621)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277621)Termination reason: Instruction limit
% 5.77/1.40 % (1277621)Termination phase: Saturation
% 5.77/1.40 % (1277621)Time elapsed: 0.348 s
% 5.77/1.40 % (1277621)Peak memory usage: 27 MB
% 5.77/1.40 % (1277621)Instructions burned: 685 (million)
% 5.77/1.40 % (1277632)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2234748520:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.77/1.40 % (1277633)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=429493609:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.77/1.40 % (1277630)Instruction limit reached!
% 5.77/1.40 % (1277630)------------------------------
% 5.77/1.40 % (1277630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277630)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277630)Termination reason: Instruction limit
% 5.77/1.40 % (1277630)Termination phase: Saturation
% 5.77/1.40 % (1277630)Time elapsed: 0.320 s
% 5.77/1.40 % (1277630)Peak memory usage: 33 MB
% 5.77/1.40 % (1277630)Instructions burned: 1181 (million)
% 5.77/1.40 % (1277636)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1248442601:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.77/1.40 % (1277628)Instruction limit reached!
% 5.77/1.40 % (1277628)------------------------------
% 5.77/1.40 % (1277628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277628)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277628)Termination reason: Instruction limit
% 5.77/1.40 % (1277628)Termination phase: Finite model building preprocessing
% 5.77/1.40 % (1277628)Time elapsed: 0.372 s
% 5.77/1.40 % (1277628)Peak memory usage: 29 MB
% 5.77/1.40 % (1277628)Instructions burned: 865 (million)
% 5.77/1.40 % (1277638)fmb+10_1_sil=64000:random_seed=1459441748:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.77/1.40 % (1277636)Instruction limit reached!
% 5.77/1.40 % (1277636)------------------------------
% 5.77/1.40 % (1277636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277636)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277636)Termination reason: Instruction limit
% 5.77/1.40 % (1277636)Termination phase: Saturation
% 5.77/1.40 % (1277636)Time elapsed: 0.204 s
% 5.77/1.40 % (1277636)Peak memory usage: 29 MB
% 5.77/1.40 % (1277636)Instructions burned: 883 (million)
% 5.77/1.40 % (1277640)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3638695441:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 5.77/1.40 % (1277633)Instruction limit reached!
% 5.77/1.40 % (1277633)------------------------------
% 5.77/1.40 % (1277633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277633)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277633)Termination reason: Instruction limit
% 5.77/1.40 % (1277633)Termination phase: Saturation
% 5.77/1.40 % (1277633)Time elapsed: 0.363 s
% 5.77/1.40 % (1277633)Peak memory usage: 30 MB
% 5.77/1.40 % (1277633)Instructions burned: 692 (million)
% 5.77/1.40 % (1277632)Instruction limit reached!
% 5.77/1.40 % (1277632)------------------------------
% 5.77/1.40 % (1277632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.40 % (1277632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.40 % (1277632)CaDiCaL version: 2.1.3
% 5.77/1.40 % (1277632)Termination reason: Instruction limit
% 5.77/1.40 % (1277632)Termination phase: Finite model building preprocessing
% 5.77/1.40 % (1277632)Time elapsed: 0.389 s
% 5.77/1.40 % (1277632)Peak memory usage: 30 MB
% 5.77/1.40 % (1277632)Instructions burned: 891 (million)
% 5.77/1.40 % (1277642)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=415605191:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 5.77/1.40 % (1277643)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4231704735:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 5.77/1.40 % (1277605) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1277599-1277605"...
% 5.77/1.40 % (1277605)...printing done.
% 5.77/1.40 % (1277605)Refutation found. Thanks to Tanya!
% 5.77/1.40 % SZS status Theorem for theBenchmark
% 5.77/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 6.78/1.40 % (1277605)------------------------------
% 6.78/1.40 % (1277605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40 % (1277605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40 % (1277605)CaDiCaL version: 2.1.3
% 6.78/1.40 % (1277605)Termination reason: Refutation
% 6.78/1.40 % (1277605)Time elapsed: 0.901 s
% 6.78/1.40 % (1277605)Peak memory usage: 38 MB
% 6.78/1.40 % (1277605)Instructions burned: 1597 (million)
% 6.78/1.40 % (1277599)Success in time 0.991 s
% 6.78/1.40 % Vampire exiting
%------------------------------------------------------------------------------