%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT295+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 11:46:37 AM UTC 2026
% Result : Theorem 11.94s 2.65s
% Output : Refutation 12.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 156 ( 42 unt; 5 def)
% Number of atoms : 492 ( 145 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 553 ( 217 ~; 230 |; 64 &)
% ( 8 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 141 ( 0 sgn 129 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2332,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattices) ).
fof(f2333,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattices) ).
fof(f2334,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(f2410,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
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(f2922,axiom,
! [X0] :
( l3_lattices(X0)
=> ! [X1] :
( l3_lattices(X1)
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_filter_2) ).
fof(f2924,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_filter_2) ).
fof(f2925,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2924]) ).
fof(f3047,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2922]) ).
fof(f3048,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3047]) ).
fof(f3051,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) ) )
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2925]) ).
fof(f3052,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) ) )
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3051]) ).
fof(f3355,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(f3356,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,[],[f3355]) ).
fof(f3373,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f2334]) ).
fof(f3374,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f3373]) ).
fof(f3395,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f2332]) ).
fof(f3396,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f3395]) ).
fof(f3409,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f2333]) ).
fof(f3410,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f3409]) ).
fof(f3577,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2410]) ).
fof(f4647,plain,
( ( k1_lattices(sK4,sK6,sK7) != k1_lattices(sK5,sK8,sK9)
| k2_lattices(sK4,sK6,sK7) != k2_lattices(sK5,sK8,sK9)
| ( ~ r1_lattices(sK5,sK8,sK9)
& r1_lattices(sK4,sK6,sK7) )
| ( ~ r1_lattices(sK4,sK6,sK7)
& r1_lattices(sK5,sK8,sK9) ) )
& sK6 = sK8
& sK7 = sK9
& m1_subset_1(sK9,u1_struct_0(sK5))
& m1_subset_1(sK8,u1_struct_0(sK5))
& m1_subset_1(sK7,u1_struct_0(sK4))
& m1_subset_1(sK6,u1_struct_0(sK4))
& g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK5),u2_lattices(sK5),u1_lattices(sK5))
& ~ v3_struct_0(sK5)
& l3_lattices(sK5)
& ~ v3_struct_0(sK4)
& l3_lattices(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7),skolemize(X4,sK8),skolemize(X5,sK9)],[f3052]) ).
fof(f4793,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_lattices(X0,X1,X2)
| k1_lattices(X0,X1,X2) != X2 )
& ( k1_lattices(X0,X1,X2) = X2
| ~ r1_lattices(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(nnf_transformation,[],[f3374]) ).
fof(f5325,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| k1_lattice2(X0) = k1_lattice2(X1) ),
inference(cnf_transformation,[],[f3048]) ).
fof(f5327,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f4647]) ).
fof(f5328,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f4647]) ).
fof(f5329,plain,
l3_lattices(sK5),
inference(cnf_transformation,[],[f4647]) ).
fof(f5330,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f4647]) ).
fof(f5331,plain,
g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK5),u2_lattices(sK5),u1_lattices(sK5)),
inference(cnf_transformation,[],[f4647]) ).
fof(f5332,plain,
m1_subset_1(sK6,u1_struct_0(sK4)),
inference(cnf_transformation,[],[f4647]) ).
fof(f5333,plain,
m1_subset_1(sK7,u1_struct_0(sK4)),
inference(cnf_transformation,[],[f4647]) ).
fof(f5336,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f4647]) ).
fof(f5337,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f4647]) ).
fof(f5338,plain,
( k1_lattices(sK4,sK6,sK7) != k1_lattices(sK5,sK8,sK9)
| k2_lattices(sK4,sK6,sK7) != k2_lattices(sK5,sK8,sK9)
| r1_lattices(sK4,sK6,sK7)
| r1_lattices(sK5,sK8,sK9) ),
inference(cnf_transformation,[],[f4647]) ).
fof(f5341,plain,
( k1_lattices(sK4,sK6,sK7) != k1_lattices(sK5,sK8,sK9)
| k2_lattices(sK4,sK6,sK7) != k2_lattices(sK5,sK8,sK9)
| ~ r1_lattices(sK5,sK8,sK9)
| ~ r1_lattices(sK4,sK6,sK7) ),
inference(cnf_transformation,[],[f4647]) ).
fof(f5762,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3356]) ).
fof(f5763,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = u1_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3356]) ).
fof(f5764,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3356]) ).
fof(f5782,plain,
! [X2,X0,X1] :
( ~ l2_lattices(X0)
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k1_lattices(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f4793]) ).
fof(f5783,plain,
! [X2,X0,X1] :
( ~ l2_lattices(X0)
| k1_lattices(X0,X1,X2) != X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r1_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f4793]) ).
fof(f5818,plain,
! [X2,X0,X1] :
( ~ l2_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ),
inference(cnf_transformation,[],[f3396]) ).
fof(f5839,plain,
! [X2,X0,X1] :
( ~ l1_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ),
inference(cnf_transformation,[],[f3410]) ).
fof(f6130,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f3577]) ).
fof(f6131,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f3577]) ).
fof(f7694,plain,
( k1_lattices(sK5,sK8,sK9) != k1_lattices(sK4,sK8,sK9)
| k2_lattices(sK5,sK8,sK9) != k2_lattices(sK4,sK8,sK9)
| ~ r1_lattices(sK5,sK8,sK9)
| ~ r1_lattices(sK4,sK8,sK9) ),
inference(definition_unfolding,[],[f5341,f5337,f5336,f5337,f5336,f5337,f5336]) ).
fof(f7697,plain,
( k1_lattices(sK5,sK8,sK9) != k1_lattices(sK4,sK8,sK9)
| k2_lattices(sK5,sK8,sK9) != k2_lattices(sK4,sK8,sK9)
| r1_lattices(sK4,sK8,sK9)
| r1_lattices(sK5,sK8,sK9) ),
inference(definition_unfolding,[],[f5338,f5337,f5336,f5337,f5336,f5337,f5336]) ).
fof(f7698,plain,
m1_subset_1(sK9,u1_struct_0(sK4)),
inference(definition_unfolding,[],[f5333,f5336]) ).
fof(f7699,plain,
m1_subset_1(sK8,u1_struct_0(sK4)),
inference(definition_unfolding,[],[f5332,f5337]) ).
fof(f8612,definition,
( spl384_5
<=> r1_lattices(sK5,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl384_5])],[avatar_definition]) ).
fof(f8613,plain,
( r1_lattices(sK5,sK8,sK9)
| ~ spl384_5 ),
inference(avatar_component_clause,[],[f8612]) ).
fof(f8615,definition,
( spl384_6
<=> r1_lattices(sK4,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl384_6])],[avatar_definition]) ).
fof(f8616,plain,
( r1_lattices(sK4,sK8,sK9)
| ~ spl384_6 ),
inference(avatar_component_clause,[],[f8615]) ).
fof(f8618,definition,
( spl384_7
<=> k2_lattices(sK5,sK8,sK9) = k2_lattices(sK4,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl384_7])],[avatar_definition]) ).
fof(f8619,plain,
( k2_lattices(sK5,sK8,sK9) != k2_lattices(sK4,sK8,sK9)
| spl384_7 ),
inference(avatar_component_clause,[],[f8618]) ).
fof(f8621,definition,
( spl384_8
<=> k1_lattices(sK5,sK8,sK9) = k1_lattices(sK4,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl384_8])],[avatar_definition]) ).
fof(f8622,plain,
( k1_lattices(sK5,sK8,sK9) != k1_lattices(sK4,sK8,sK9)
| spl384_8 ),
inference(avatar_component_clause,[],[f8621]) ).
fof(f8623,plain,
( spl384_5
| spl384_6
| ~ spl384_7
| ~ spl384_8 ),
inference(avatar_split_clause,[],[f7697,f8621,f8618,f8615,f8612]) ).
fof(f8624,plain,
( ~ r1_lattices(sK4,sK8,sK9)
| spl384_6 ),
inference(avatar_component_clause,[],[f8615]) ).
fof(f8626,plain,
( ~ spl384_6
| ~ spl384_5
| ~ spl384_7
| ~ spl384_8 ),
inference(avatar_split_clause,[],[f7694,f8621,f8618,f8612,f8615]) ).
fof(f8707,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
| ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK4) ),
inference(resolution,[],[f5325,f5327]) ).
fof(f8710,plain,
( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
| ~ l3_lattices(sK5)
| k1_lattice2(sK4) = k1_lattice2(sK5) ),
inference(superposition,[],[f8707,f5331]) ).
fof(f8712,plain,
( ~ l3_lattices(sK5)
| k1_lattice2(sK4) = k1_lattice2(sK5) ),
inference(trivial_inequality_removal,[],[f8710]) ).
fof(f8713,plain,
k1_lattice2(sK4) = k1_lattice2(sK5),
inference(forward_subsumption_resolution,[],[f8712,f5329]) ).
fof(f8715,plain,
( v3_struct_0(sK4)
| u1_struct_0(sK4) = u1_struct_0(k1_lattice2(sK4)) ),
inference(resolution,[],[f5764,f5327]) ).
fof(f8716,plain,
( v3_struct_0(sK5)
| u1_struct_0(sK5) = u1_struct_0(k1_lattice2(sK5)) ),
inference(resolution,[],[f5764,f5329]) ).
fof(f8717,plain,
u1_struct_0(sK5) = u1_struct_0(k1_lattice2(sK5)),
inference(forward_subsumption_resolution,[],[f8716,f5330]) ).
fof(f8718,plain,
u1_struct_0(sK4) = u1_struct_0(k1_lattice2(sK4)),
inference(forward_subsumption_resolution,[],[f8715,f5328]) ).
fof(f8719,plain,
u1_struct_0(sK5) = u1_struct_0(k1_lattice2(sK4)),
inference(forward_demodulation,[],[f8717,f8713]) ).
fof(f8720,plain,
u1_struct_0(sK5) = u1_struct_0(sK4),
inference(forward_demodulation,[],[f8719,f8718]) ).
fof(f8741,plain,
( v3_struct_0(sK4)
| u1_lattices(sK4) = u2_lattices(k1_lattice2(sK4)) ),
inference(resolution,[],[f5762,f5327]) ).
fof(f8742,plain,
( v3_struct_0(sK5)
| u1_lattices(sK5) = u2_lattices(k1_lattice2(sK5)) ),
inference(resolution,[],[f5762,f5329]) ).
fof(f8743,plain,
u1_lattices(sK5) = u2_lattices(k1_lattice2(sK5)),
inference(forward_subsumption_resolution,[],[f8742,f5330]) ).
fof(f8744,plain,
u1_lattices(sK4) = u2_lattices(k1_lattice2(sK4)),
inference(forward_subsumption_resolution,[],[f8741,f5328]) ).
fof(f8745,plain,
u1_lattices(sK5) = u2_lattices(k1_lattice2(sK4)),
inference(forward_demodulation,[],[f8743,f8713]) ).
fof(f8746,plain,
u1_lattices(sK4) = u1_lattices(sK5),
inference(forward_demodulation,[],[f8745,f8744]) ).
fof(f8757,plain,
( v3_struct_0(sK4)
| u2_lattices(sK4) = u1_lattices(k1_lattice2(sK4)) ),
inference(resolution,[],[f5763,f5327]) ).
fof(f8758,plain,
( v3_struct_0(sK5)
| u2_lattices(sK5) = u1_lattices(k1_lattice2(sK5)) ),
inference(resolution,[],[f5763,f5329]) ).
fof(f8759,plain,
u2_lattices(sK5) = u1_lattices(k1_lattice2(sK5)),
inference(forward_subsumption_resolution,[],[f8758,f5330]) ).
fof(f8760,plain,
u2_lattices(sK4) = u1_lattices(k1_lattice2(sK4)),
inference(forward_subsumption_resolution,[],[f8757,f5328]) ).
fof(f8761,plain,
u2_lattices(sK5) = u1_lattices(k1_lattice2(sK4)),
inference(forward_demodulation,[],[f8759,f8713]) ).
fof(f8762,plain,
u2_lattices(sK4) = u2_lattices(sK5),
inference(forward_demodulation,[],[f8761,f8760]) ).
fof(f8775,plain,
l2_lattices(sK4),
inference(resolution,[],[f6130,f5327]) ).
fof(f8776,plain,
l2_lattices(sK5),
inference(resolution,[],[f6130,f5329]) ).
fof(f8778,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| v3_struct_0(sK4)
| k1_lattices(sK4,X1,X0) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u2_lattices(sK4),X1,X0) ),
inference(resolution,[],[f8775,f5818]) ).
fof(f8780,plain,
! [X0,X1] :
( k1_lattices(sK4,X0,X1) != X1
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| v3_struct_0(sK4)
| r1_lattices(sK4,X0,X1) ),
inference(resolution,[],[f8775,f5783]) ).
fof(f8781,plain,
! [X0,X1] :
( k1_lattices(sK4,X0,X1) != X1
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| r1_lattices(sK4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f8780,f5328]) ).
fof(f8783,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| k1_lattices(sK4,X1,X0) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u2_lattices(sK4),X1,X0) ),
inference(forward_subsumption_resolution,[],[f8778,f5328]) ).
fof(f8786,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| k1_lattices(sK4,sK8,X0) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u2_lattices(sK4),sK8,X0) ),
inference(resolution,[],[f8783,f7699]) ).
fof(f8789,plain,
k1_lattices(sK4,sK8,sK9) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u2_lattices(sK4),sK8,sK9),
inference(resolution,[],[f8786,f7698]) ).
fof(f8792,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k1_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u2_lattices(sK5),X1,X0) ),
inference(resolution,[],[f8776,f5818]) ).
fof(f8793,plain,
! [X0,X1] :
( ~ r1_lattices(sK5,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k1_lattices(sK5,X0,X1) = X1 ),
inference(resolution,[],[f8776,f5782]) ).
fof(f8794,plain,
! [X0,X1] :
( k1_lattices(sK5,X0,X1) != X1
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| v3_struct_0(sK5)
| r1_lattices(sK5,X0,X1) ),
inference(resolution,[],[f8776,f5783]) ).
fof(f8795,plain,
! [X0,X1] :
( k1_lattices(sK5,X0,X1) != X1
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| r1_lattices(sK5,X0,X1) ),
inference(forward_subsumption_resolution,[],[f8794,f5330]) ).
fof(f8796,plain,
! [X0,X1] :
( ~ r1_lattices(sK5,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| k1_lattices(sK5,X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f8793,f5330]) ).
fof(f8797,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| k1_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u2_lattices(sK5),X1,X0) ),
inference(forward_subsumption_resolution,[],[f8792,f5330]) ).
fof(f8799,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK4))
| k1_lattices(sK5,X0,X1) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| r1_lattices(sK5,X0,X1) ),
inference(forward_demodulation,[],[f8795,f8720]) ).
fof(f8800,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ r1_lattices(sK5,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| k1_lattices(sK5,X0,X1) = X1 ),
inference(forward_demodulation,[],[f8796,f8720]) ).
fof(f8801,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| k1_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u2_lattices(sK5),X1,X0) ),
inference(forward_demodulation,[],[f8797,f8720]) ).
fof(f8803,plain,
! [X0,X1] :
( k1_lattices(sK5,X0,X1) != X1
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| r1_lattices(sK5,X0,X1) ),
inference(forward_demodulation,[],[f8799,f8720]) ).
fof(f8804,plain,
! [X0,X1] :
( ~ r1_lattices(sK5,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| k1_lattices(sK5,X0,X1) = X1 ),
inference(forward_demodulation,[],[f8800,f8720]) ).
fof(f8805,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| k1_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u2_lattices(sK5),X1,X0) ),
inference(forward_demodulation,[],[f8801,f8720]) ).
fof(f8807,plain,
! [X0,X1] :
( k1_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u2_lattices(sK4),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(forward_demodulation,[],[f8805,f8762]) ).
fof(f8809,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u2_lattices(sK4),X1,X0) = k1_lattices(sK5,X1,X0) ),
inference(forward_demodulation,[],[f8807,f8720]) ).
fof(f8810,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u2_lattices(sK4),X0,sK9) = k1_lattices(sK5,X0,sK9) ),
inference(resolution,[],[f8809,f7698]) ).
fof(f8813,plain,
k1_lattices(sK5,sK8,sK9) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u2_lattices(sK4),sK8,sK9),
inference(resolution,[],[f8810,f7699]) ).
fof(f8814,plain,
k1_lattices(sK5,sK8,sK9) = k1_lattices(sK4,sK8,sK9),
inference(forward_demodulation,[],[f8813,f8789]) ).
fof(f8826,plain,
( sK9 != k1_lattices(sK4,sK8,sK9)
| ~ m1_subset_1(sK9,u1_struct_0(sK4))
| ~ m1_subset_1(sK8,u1_struct_0(sK4))
| r1_lattices(sK5,sK8,sK9) ),
inference(superposition,[],[f8803,f8814]) ).
fof(f8827,plain,
( sK9 != k1_lattices(sK4,sK8,sK9)
| ~ m1_subset_1(sK8,u1_struct_0(sK4))
| r1_lattices(sK5,sK8,sK9) ),
inference(forward_subsumption_resolution,[],[f8826,f7698]) ).
fof(f8828,plain,
( sK9 != k1_lattices(sK4,sK8,sK9)
| r1_lattices(sK5,sK8,sK9) ),
inference(forward_subsumption_resolution,[],[f8827,f7699]) ).
fof(f8830,definition,
( spl384_14
<=> sK9 = k1_lattices(sK4,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl384_14])],[avatar_definition]) ).
fof(f8831,plain,
( sK9 != k1_lattices(sK4,sK8,sK9)
| spl384_14 ),
inference(avatar_component_clause,[],[f8830]) ).
fof(f8832,plain,
( spl384_5
| ~ spl384_14 ),
inference(avatar_split_clause,[],[f8828,f8830,f8612]) ).
fof(f8857,plain,
l1_lattices(sK4),
inference(resolution,[],[f6131,f5327]) ).
fof(f8858,plain,
l1_lattices(sK5),
inference(resolution,[],[f6131,f5329]) ).
fof(f8860,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| v3_struct_0(sK4)
| k2_lattices(sK4,X1,X0) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u1_lattices(sK4),X1,X0) ),
inference(resolution,[],[f8857,f5839]) ).
fof(f8861,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| k2_lattices(sK4,X1,X0) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u1_lattices(sK4),X1,X0) ),
inference(forward_subsumption_resolution,[],[f8860,f5328]) ).
fof(f8864,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| k2_lattices(sK4,sK8,X0) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u1_lattices(sK4),sK8,X0) ),
inference(resolution,[],[f8861,f7699]) ).
fof(f8867,plain,
k2_lattices(sK4,sK8,sK9) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u1_lattices(sK4),sK8,sK9),
inference(resolution,[],[f8864,f7698]) ).
fof(f8870,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k2_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u1_lattices(sK5),X1,X0) ),
inference(resolution,[],[f8858,f5839]) ).
fof(f8871,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| k2_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u1_lattices(sK5),X1,X0) ),
inference(forward_subsumption_resolution,[],[f8870,f5330]) ).
fof(f8873,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| k2_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u1_lattices(sK5),X1,X0) ),
inference(forward_demodulation,[],[f8871,f8720]) ).
fof(f8875,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| k2_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u1_lattices(sK5),X1,X0) ),
inference(forward_demodulation,[],[f8873,f8720]) ).
fof(f8877,plain,
! [X0,X1] :
( k2_lattices(sK5,X1,X0) = k2_binop_1(u1_struct_0(sK5),u1_struct_0(sK5),u1_struct_0(sK5),u1_lattices(sK4),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(forward_demodulation,[],[f8875,f8746]) ).
fof(f8879,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u1_lattices(sK4),X1,X0) = k2_lattices(sK5,X1,X0) ),
inference(forward_demodulation,[],[f8877,f8720]) ).
fof(f8880,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u1_lattices(sK4),X0,sK9) = k2_lattices(sK5,X0,sK9) ),
inference(resolution,[],[f8879,f7698]) ).
fof(f8883,plain,
k2_lattices(sK5,sK8,sK9) = k2_binop_1(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),u1_lattices(sK4),sK8,sK9),
inference(resolution,[],[f8880,f7699]) ).
fof(f8884,plain,
k2_lattices(sK5,sK8,sK9) = k2_lattices(sK4,sK8,sK9),
inference(forward_demodulation,[],[f8883,f8867]) ).
fof(f8886,plain,
( $false
| spl384_7 ),
inference(forward_subsumption_resolution,[],[f8884,f8619]) ).
fof(f8887,plain,
spl384_7,
inference(avatar_contradiction_clause,[],[f8886]) ).
fof(f8888,plain,
( $false
| spl384_8 ),
inference(forward_subsumption_resolution,[],[f8622,f8814]) ).
fof(f8889,plain,
spl384_8,
inference(avatar_contradiction_clause,[],[f8888]) ).
fof(f8901,plain,
( $false
| ~ spl384_6
| spl384_14 ),
inference(unit_resulting_resolution,[],[f5782,f8775,f5328,f7699,f7698,f8831,f8616]) ).
fof(f8902,plain,
( ~ spl384_6
| spl384_14 ),
inference(avatar_contradiction_clause,[],[f8901]) ).
fof(f8903,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK4))
| ~ m1_subset_1(sK8,u1_struct_0(sK4))
| sK9 = k1_lattices(sK5,sK8,sK9)
| ~ spl384_5 ),
inference(resolution,[],[f8613,f8804]) ).
fof(f8904,plain,
( ~ m1_subset_1(sK8,u1_struct_0(sK4))
| sK9 = k1_lattices(sK5,sK8,sK9)
| ~ spl384_5 ),
inference(forward_subsumption_resolution,[],[f8903,f7698]) ).
fof(f8905,plain,
( sK9 = k1_lattices(sK5,sK8,sK9)
| ~ spl384_5 ),
inference(forward_subsumption_resolution,[],[f8904,f7699]) ).
fof(f8907,plain,
( sK9 = k1_lattices(sK4,sK8,sK9)
| ~ spl384_5 ),
inference(superposition,[],[f8814,f8905]) ).
fof(f8912,plain,
( sK9 != sK9
| ~ m1_subset_1(sK9,u1_struct_0(sK4))
| ~ m1_subset_1(sK8,u1_struct_0(sK4))
| r1_lattices(sK4,sK8,sK9)
| ~ spl384_5 ),
inference(superposition,[],[f8781,f8907]) ).
fof(f8913,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK4))
| ~ m1_subset_1(sK8,u1_struct_0(sK4))
| r1_lattices(sK4,sK8,sK9)
| ~ spl384_5 ),
inference(trivial_inequality_removal,[],[f8912]) ).
fof(f8916,plain,
( ~ m1_subset_1(sK8,u1_struct_0(sK4))
| r1_lattices(sK4,sK8,sK9)
| ~ spl384_5 ),
inference(forward_subsumption_resolution,[],[f8913,f7698]) ).
fof(f8917,plain,
( r1_lattices(sK4,sK8,sK9)
| ~ spl384_5 ),
inference(forward_subsumption_resolution,[],[f8916,f7699]) ).
fof(f8918,plain,
( $false
| ~ spl384_5
| spl384_6 ),
inference(forward_subsumption_resolution,[],[f8917,f8624]) ).
fof(f8919,plain,
( ~ spl384_5
| spl384_6 ),
inference(avatar_contradiction_clause,[],[f8918]) ).
cnf(s3,plain,
( spl384_5
| spl384_6
| ~ spl384_7
| ~ spl384_8 ),
inference(sat_conversion,[],[f8623]) ).
cnf(s4,plain,
( ~ spl384_5
| ~ spl384_6
| ~ spl384_7
| ~ spl384_8 ),
inference(sat_conversion,[],[f8626]) ).
cnf(s8,plain,
( spl384_5
| ~ spl384_14 ),
inference(sat_conversion,[],[f8832]) ).
cnf(s11,plain,
spl384_7,
inference(sat_conversion,[],[f8887]) ).
cnf(s12,plain,
spl384_8,
inference(sat_conversion,[],[f8889]) ).
cnf(s15,plain,
( ~ spl384_6
| spl384_14 ),
inference(sat_conversion,[],[f8902]) ).
cnf(s18,plain,
( ~ spl384_5
| spl384_6 ),
inference(sat_conversion,[],[f8919]) ).
cnf(s19,plain,
( ~ spl384_5
| ~ spl384_6 ),
inference(rat,[],[s4,s12,s11]) ).
cnf(s20,plain,
( spl384_5
| spl384_6 ),
inference(rat,[],[s3,s12,s11]) ).
cnf(s21,plain,
spl384_5,
inference(rat,[],[s15,s20,s8]) ).
cnf(s22,plain,
spl384_6,
inference(rat,[],[s18,s21]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s19,s22,s21]) ).
fof(f8920,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT295+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.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 14:15:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 11.94/2.65 % (2599545)Detected formulas, will run a generic FOF schedule.
% 11.94/2.65 % (2599550)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=3962578748:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.94/2.65 % (2599552)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=1782286365:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.94/2.65 % (2599556)dis-21_1_sil=8000:lcm=predicate:random_seed=3983805119: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)
% 11.94/2.65 % (2599554)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=382453031:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.94/2.65 % (2599553)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1024775441:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.94/2.65 % (2599551)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=872941561:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.94/2.65 % (2599555)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2888743899:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.94/2.65 % (2599553)Instruction limit reached!
% 11.94/2.65 % (2599553)------------------------------
% 11.94/2.65 % (2599553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599553)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599553)Termination reason: Instruction limit
% 11.94/2.65 % (2599553)Termination phase: Saturation
% 11.94/2.65 % (2599553)Time elapsed: 0.057 s
% 11.94/2.65 % (2599553)Peak memory usage: 91 MB
% 11.94/2.65 % (2599553)Instructions burned: 111 (million)
% 11.94/2.65 % (2599556)Instruction limit reached!
% 11.94/2.65 % (2599556)------------------------------
% 11.94/2.65 % (2599556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599556)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599556)Termination reason: Instruction limit
% 11.94/2.65 % (2599556)Termination phase: Function definition elimination
% 11.94/2.65 % (2599556)Time elapsed: 0.075 s
% 11.94/2.65 % (2599556)Peak memory usage: 93 MB
% 11.94/2.65 % (2599556)Instructions burned: 130 (million)
% 11.94/2.65 % (2599554)Instruction limit reached!
% 11.94/2.65 % (2599554)------------------------------
% 11.94/2.65 % (2599554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599554)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599554)Termination reason: Instruction limit
% 11.94/2.65 % (2599554)Termination phase: Saturation
% 11.94/2.65 % (2599554)Time elapsed: 0.080 s
% 11.94/2.65 % (2599554)Peak memory usage: 92 MB
% 11.94/2.65 % (2599554)Instructions burned: 120 (million)
% 11.94/2.65 % (2599555)Instruction limit reached!
% 11.94/2.65 % (2599555)------------------------------
% 11.94/2.65 % (2599555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599555)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599555)Termination reason: Instruction limit
% 11.94/2.65 % (2599555)Termination phase: Property scanning
% 11.94/2.65 % (2599555)Time elapsed: 0.084 s
% 11.94/2.65 % (2599555)Peak memory usage: 94 MB
% 11.94/2.65 % (2599555)Instructions burned: 141 (million)
% 11.94/2.65 % (2599604)lrs+10_1_sil=8000:sp=occurrence:random_seed=1290775804:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.94/2.65 % (2599615)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1857089425:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.94/2.65 % (2599611)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2508349400:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.94/2.65 % (2599618)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=983890767:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.94/2.65 % (2599615)Refutation not found, incomplete strategy
% 11.94/2.65 % (2599615)------------------------------
% 11.94/2.65 % (2599615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599615)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599615)Termination reason: Refutation not found, incomplete strategy
% 11.94/2.65 % (2599615)Time elapsed: 0.036 s
% 11.94/2.65 % (2599615)Peak memory usage: 92 MB
% 11.94/2.65 % (2599615)Instructions burned: 48 (million)
% 11.94/2.65 % (2599611)Instruction limit reached!
% 11.94/2.65 % (2599611)------------------------------
% 11.94/2.65 % (2599611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599611)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599611)Termination reason: Instruction limit
% 11.94/2.65 % (2599611)Termination phase: Saturation
% 11.94/2.65 % (2599611)Time elapsed: 0.080 s
% 11.94/2.65 % (2599611)Peak memory usage: 93 MB
% 11.94/2.65 % (2599611)Instructions burned: 158 (million)
% 11.94/2.65 % (2599604)Instruction limit reached!
% 11.94/2.65 % (2599604)------------------------------
% 11.94/2.65 % (2599604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599604)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599604)Termination reason: Instruction limit
% 11.94/2.65 % (2599604)Termination phase: Saturation
% 11.94/2.65 % (2599604)Time elapsed: 0.166 s
% 11.94/2.65 % (2599604)Peak memory usage: 95 MB
% 11.94/2.65 % (2599604)Instructions burned: 285 (million)
% 11.94/2.65 % (2599618)Instruction limit reached!
% 11.94/2.65 % (2599618)------------------------------
% 11.94/2.65 % (2599618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599618)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599618)Termination reason: Instruction limit
% 11.94/2.65 % (2599618)Termination phase: Saturation
% 11.94/2.65 % (2599618)Time elapsed: 0.140 s
% 11.94/2.65 % (2599618)Peak memory usage: 98 MB
% 11.94/2.65 % (2599618)Instructions burned: 249 (million)
% 11.94/2.65 % (2599682)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2110022007:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.94/2.65 % (2599615)------------------------------
% 11.94/2.65 % (2599615)------------------------------
% 11.94/2.65 % (2599714)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=747411588:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.94/2.65 % (2599716)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2011996370:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.94/2.65 % (2599716)Instruction limit reached!
% 11.94/2.65 % (2599716)------------------------------
% 11.94/2.65 % (2599716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599716)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599716)Termination reason: Instruction limit
% 11.94/2.65 % (2599716)Termination phase: Saturation
% 11.94/2.65 % (2599716)Time elapsed: 0.065 s
% 11.94/2.65 % (2599716)Peak memory usage: 93 MB
% 11.94/2.65 % (2599716)Instructions burned: 113 (million)
% 11.94/2.65 % (2599682)Instruction limit reached!
% 11.94/2.65 % (2599682)------------------------------
% 11.94/2.65 % (2599682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599682)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599682)Termination reason: Instruction limit
% 11.94/2.65 % (2599682)Termination phase: Saturation
% 11.94/2.65 % (2599682)Time elapsed: 0.162 s
% 11.94/2.65 % (2599682)Peak memory usage: 95 MB
% 11.94/2.65 % (2599682)Instructions burned: 295 (million)
% 11.94/2.65 % (2599728)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1791936025:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.94/2.65 % (2599731)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=95357498:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.94/2.65 % (2599728)Instruction limit reached!
% 11.94/2.65 % (2599728)------------------------------
% 11.94/2.65 % (2599728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599728)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599728)Termination reason: Instruction limit
% 11.94/2.65 % (2599728)Termination phase: Property scanning
% 11.94/2.65 % (2599728)Time elapsed: 0.079 s
% 11.94/2.65 % (2599728)Peak memory usage: 94 MB
% 11.94/2.65 % (2599728)Instructions burned: 128 (million)
% 11.94/2.65 % (2599732)lrs+10_1_sil=8000:sp=occurrence:random_seed=542087024:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.94/2.65 % (2599731)Instruction limit reached!
% 11.94/2.65 % (2599731)------------------------------
% 11.94/2.65 % (2599731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599731)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599731)Termination reason: Instruction limit
% 11.94/2.65 % (2599731)Termination phase: Property scanning
% 11.94/2.65 % (2599731)Time elapsed: 0.058 s
% 11.94/2.65 % (2599731)Peak memory usage: 90 MB
% 11.94/2.65 % (2599731)Instructions burned: 117 (million)
% 11.94/2.65 % (2599735)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=184897465:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 11.94/2.65 % (2599737)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1502446193:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.94/2.65 % (2599735)Instruction limit reached!
% 11.94/2.65 % (2599735)------------------------------
% 11.94/2.65 % (2599735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599735)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599735)Termination reason: Instruction limit
% 11.94/2.65 % (2599735)Termination phase: Saturation
% 11.94/2.65 % (2599735)Time elapsed: 0.226 s
% 11.94/2.65 % (2599735)Peak memory usage: 95 MB
% 11.94/2.65 % (2599735)Instructions burned: 437 (million)
% 11.94/2.65 % (2599551)First to succeed.
% 11.94/2.65 % (2599551)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2599545"
% 11.94/2.65 % (2599740)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=650339759:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 11.94/2.65 % (2599732)Instruction limit reached!
% 11.94/2.65 % (2599732)------------------------------
% 11.94/2.65 % (2599732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599732)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599732)Termination reason: Instruction limit
% 11.94/2.65 % (2599732)Termination phase: Saturation
% 11.94/2.65 % (2599732)Time elapsed: 0.582 s
% 11.94/2.65 % (2599732)Peak memory usage: 106 MB
% 11.94/2.65 % (2599732)Instructions burned: 908 (million)
% 11.94/2.65 % (2599740)Instruction limit reached!
% 11.94/2.65 % (2599740)------------------------------
% 11.94/2.65 % (2599740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.65 % (2599740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.65 % (2599740)CaDiCaL version: 2.1.3
% 11.94/2.65 % (2599740)Termination reason: Instruction limit
% 11.94/2.65 % (2599740)Termination phase: Saturation
% 11.94/2.65 % (2599740)Time elapsed: 0.085 s
% 11.94/2.65 % (2599740)Peak memory usage: 94 MB
% 11.94/2.65 % (2599740)Instructions burned: 136 (million)
% 11.94/2.65 % (2599551)Refutation found. Thanks to Tanya!
% 11.94/2.65 % SZS status Theorem for theBenchmark
% 11.94/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 12.61/2.84 % (2599551)------------------------------
% 12.61/2.84 % (2599551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.84 % (2599551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.84 % (2599551)CaDiCaL version: 2.1.3
% 12.61/2.84 % (2599551)Termination reason: Refutation
% 12.61/2.84 % (2599551)Time elapsed: 1.244 s
% 12.61/2.84 % (2599551)Peak memory usage: 167 MB
% 12.61/2.84 % (2599551)Instructions burned: 2049 (million)
% 12.61/2.84 % (2599551)------------------------------
% 12.61/2.84 % (2599551)------------------------------
% 12.61/2.84 % (2599545)Success in time 1.793 s
% 12.61/2.84 % Vampire exiting
%------------------------------------------------------------------------------