%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT320+3 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:54 AM UTC 2026
% Result : Theorem 17.74s 5.23s
% Output : Refutation 27.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 22
% Syntax : Number of formulae : 180 ( 32 unt; 5 def)
% Number of atoms : 809 ( 69 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1033 ( 404 ~; 450 |; 133 &)
% ( 14 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 6 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 218 ( 1 sgn 209 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f6660,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f8589,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f8673,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f13532,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(f13533,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f13570,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0)
& m2_filter_2(X2,X0) )
=> m2_filter_2(k21_filter_2(X0,X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k21_filter_2) ).
fof(f13571,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0)
& m2_filter_2(X2,X0) )
=> k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k21_filter_2) ).
fof(f13601,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(f13624,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f13643,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_filter_2) ).
fof(f13645,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_filter_2) ).
fof(f13651,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_filter_2) ).
fof(f13652,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f13651]) ).
fof(f13657,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f13701,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,[],[f13532]) ).
fof(f13702,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,[],[f13701]) ).
fof(f13703,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13533]) ).
fof(f13704,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13703]) ).
fof(f13777,plain,
! [X0,X1,X2] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(ennf_transformation,[],[f13570]) ).
fof(f13778,plain,
! [X0,X1,X2] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(flattening,[],[f13777]) ).
fof(f13779,plain,
! [X0,X1,X2] :
( k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(ennf_transformation,[],[f13571]) ).
fof(f13780,plain,
! [X0,X1,X2] :
( k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(flattening,[],[f13779]) ).
fof(f13836,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,[],[f13601]) ).
fof(f13837,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,[],[f13836]) ).
fof(f13882,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13624]) ).
fof(f13883,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13882]) ).
fof(f13920,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2)
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13643]) ).
fof(f13921,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2)
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13920]) ).
fof(f13924,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13645]) ).
fof(f13925,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13924]) ).
fof(f13936,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13652]) ).
fof(f13937,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13936]) ).
fof(f13990,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8673]) ).
fof(f13991,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13990]) ).
fof(f14010,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8589]) ).
fof(f14011,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14010]) ).
fof(f14076,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f14077,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,[],[f14076]) ).
fof(f14089,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14092,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,[],[f9363]) ).
fof(f14093,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,[],[f14092]) ).
fof(f14094,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f14095,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14094]) ).
fof(f14352,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6660]) ).
fof(f14353,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14352]) ).
fof(f18288,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,[],[f13702]) ).
fof(f18308,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,[],[f13837]) ).
fof(f18325,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13883]) ).
fof(f18326,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f18325]) ).
fof(f18327,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f18326]) ).
fof(f18328,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ( ~ r1_tarski(X2,sK39(X0,X1,X2))
& r1_tarski(X1,sK39(X0,X1,X2))
& m2_filter_2(sK39(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X3,sK39(X0,X1,X2))],[f18327]) ).
fof(f18339,plain,
( ~ r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k21_filter_2(sK44,sK45,sK46))
& m2_filter_2(sK46,sK44)
& m2_filter_2(sK45,sK44)
& ~ v3_struct_0(sK44)
& v10_lattices(sK44)
& v17_lattices(sK44)
& l3_lattices(sK44) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45,sK46]),skolemize(X0,sK44),skolemize(X1,sK45),skolemize(X2,sK46)],[f13937]) ).
fof(f19797,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18288]) ).
fof(f19800,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13704]) ).
fof(f19840,plain,
! [X2,X0,X1] :
( ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(cnf_transformation,[],[f13778]) ).
fof(f19841,plain,
! [X2,X0,X1] :
( ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k20_filter_2(X0,X1,X2) = k21_filter_2(X0,X1,X2)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(cnf_transformation,[],[f13780]) ).
fof(f19910,plain,
! [X0,X1] :
( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18308]) ).
fof(f19965,plain,
! [X2,X0,X1] :
( r1_tarski(X1,sK39(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18328]) ).
fof(f19966,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,sK39(X0,X1,X2))
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k19_filter_2(X0,X1) = X2
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18328]) ).
fof(f20009,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_filter_2(X2,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13921]) ).
fof(f20012,plain,
! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
| ~ m2_filter_2(X2,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13925]) ).
fof(f20050,plain,
l3_lattices(sK44),
inference(cnf_transformation,[],[f18339]) ).
fof(f20051,plain,
v17_lattices(sK44),
inference(cnf_transformation,[],[f18339]) ).
fof(f20052,plain,
v10_lattices(sK44),
inference(cnf_transformation,[],[f18339]) ).
fof(f20053,plain,
~ v3_struct_0(sK44),
inference(cnf_transformation,[],[f18339]) ).
fof(f20054,plain,
m2_filter_2(sK45,sK44),
inference(cnf_transformation,[],[f18339]) ).
fof(f20055,plain,
m2_filter_2(sK46,sK44),
inference(cnf_transformation,[],[f18339]) ).
fof(f20056,plain,
~ r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k21_filter_2(sK44,sK45,sK46)),
inference(cnf_transformation,[],[f18339]) ).
fof(f20128,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13991]) ).
fof(f20144,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14011]) ).
fof(f20207,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14077]) ).
fof(f20229,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14089]) ).
fof(f20232,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14093]) ).
fof(f20242,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14095]) ).
fof(f20626,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14353]) ).
fof(f20730,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f13657]) ).
fof(f28936,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44)
| v3_struct_0(sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)) = a_3_1_filter_2(sK44,X1,X0)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20052,f20009]) ).
fof(f28939,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)) = a_3_1_filter_2(sK44,X1,X0)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28936,f20053]) ).
fof(f28941,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,sK44)
| ~ m2_filter_2(X0,sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)) = a_3_1_filter_2(sK44,X1,X0) ),
inference(forward_subsumption_resolution,[],[f28939,f20050]) ).
fof(f28945,plain,
( v3_struct_0(sK44)
| u1_struct_0(sK44) = u1_struct_0(k1_lattice2(sK44)) ),
inference(resolution,[],[f20207,f20050]) ).
fof(f28946,plain,
u1_struct_0(sK44) = u1_struct_0(k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f28945,f20053]) ).
fof(f28957,definition,
( spl883_41
<=> v3_struct_0(k1_lattice2(sK44)) ),
introduced(definition,[new_symbols(definition,[spl883_41])],[avatar_definition]) ).
fof(f28958,plain,
( v3_struct_0(k1_lattice2(sK44))
| ~ spl883_41 ),
inference(avatar_component_clause,[],[f28957]) ).
fof(f28975,plain,
( v3_struct_0(sK44)
| u1_struct_0(sK44) = k1_filter_0(sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20144,f20052]) ).
fof(f28976,plain,
( u1_struct_0(sK44) = k1_filter_0(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28975,f20053]) ).
fof(f28977,plain,
u1_struct_0(sK44) = k1_filter_0(sK44),
inference(forward_subsumption_resolution,[],[f28976,f20050]) ).
fof(f28979,plain,
~ r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,sK46)),k21_filter_2(sK44,sK45,sK46)),
inference(superposition,[],[f20056,f28977]) ).
fof(f29005,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,X0)) = a_3_1_filter_2(sK44,sK45,X0) ),
inference(resolution,[],[f28941,f20054]) ).
fof(f29010,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| a_3_1_filter_2(sK44,sK45,X0) = k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,X0)) ),
inference(forward_demodulation,[],[f29005,f28977]) ).
fof(f29026,plain,
l3_lattices(k1_lattice2(sK44)),
inference(resolution,[],[f20229,f20050]) ).
fof(f29039,plain,
k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,sK46)) = a_3_1_filter_2(sK44,sK45,sK46),
inference(resolution,[],[f29010,f20055]) ).
fof(f29072,plain,
~ r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),k21_filter_2(sK44,sK45,sK46)),
inference(superposition,[],[f28979,f29039]) ).
fof(f29175,plain,
( v3_struct_0(sK44)
| v10_lattices(k1_lattice2(sK44))
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20232,f20052]) ).
fof(f29177,plain,
( v10_lattices(k1_lattice2(sK44))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29175,f20053]) ).
fof(f29181,plain,
v10_lattices(k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f29177,f20050]) ).
fof(f29182,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| m1_filter_0(X0,k1_lattice2(sK44))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(resolution,[],[f29181,f19797]) ).
fof(f29193,plain,
( v3_struct_0(sK44)
| ~ l3_lattices(sK44)
| ~ spl883_41 ),
inference(resolution,[],[f20242,f28958]) ).
fof(f29195,plain,
( ~ l3_lattices(sK44)
| ~ spl883_41 ),
inference(forward_subsumption_resolution,[],[f29193,f20053]) ).
fof(f29196,plain,
( $false
| ~ spl883_41 ),
inference(forward_subsumption_resolution,[],[f29195,f20050]) ).
fof(f29197,plain,
~ spl883_41,
inference(avatar_contradiction_clause,[],[f29196]) ).
fof(f29210,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| m1_filter_0(X0,k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f29182,f29026]) ).
fof(f29230,definition,
( spl883_75
<=> ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK44))
| m1_filter_0(X0,k1_lattice2(sK44)) ) ),
introduced(definition,[new_symbols(definition,[spl883_75])],[avatar_definition]) ).
fof(f29231,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK44))
| m1_filter_0(X0,k1_lattice2(sK44)) )
| ~ spl883_75 ),
inference(avatar_component_clause,[],[f29230]) ).
fof(f29232,plain,
( spl883_41
| spl883_75 ),
inference(avatar_split_clause,[],[f29210,f29230,f28957]) ).
fof(f29269,plain,
( ! [X0] :
( m1_filter_0(X0,k1_lattice2(sK44))
| ~ m2_filter_2(X0,sK44)
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) )
| ~ spl883_75 ),
inference(resolution,[],[f29231,f19910]) ).
fof(f29270,plain,
( ! [X0] :
( m1_filter_0(X0,k1_lattice2(sK44))
| ~ m2_filter_2(X0,sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) )
| ~ spl883_75 ),
inference(forward_subsumption_resolution,[],[f29269,f20053]) ).
fof(f29271,plain,
( ! [X0] :
( m1_filter_0(X0,k1_lattice2(sK44))
| ~ m2_filter_2(X0,sK44)
| ~ l3_lattices(sK44) )
| ~ spl883_75 ),
inference(forward_subsumption_resolution,[],[f29270,f20052]) ).
fof(f29272,plain,
( ! [X0] :
( m1_filter_0(X0,k1_lattice2(sK44))
| ~ m2_filter_2(X0,sK44) )
| ~ spl883_75 ),
inference(forward_subsumption_resolution,[],[f29271,f20050]) ).
fof(f29354,plain,
( v3_struct_0(sK44)
| v11_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20626,f20051]) ).
fof(f29356,plain,
( v11_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29354,f20053]) ).
fof(f29357,plain,
v11_lattices(sK44),
inference(forward_subsumption_resolution,[],[f29356,f20050]) ).
fof(f29358,plain,
! [X0,X1] :
( v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| m2_filter_2(k21_filter_2(sK44,X0,X1),sK44)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44) ),
inference(resolution,[],[f29357,f19840]) ).
fof(f29359,plain,
! [X0,X1] :
( v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| k20_filter_2(sK44,X0,X1) = k21_filter_2(sK44,X0,X1)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44) ),
inference(resolution,[],[f29357,f19841]) ).
fof(f29360,plain,
! [X0,X1] :
( ~ v10_lattices(sK44)
| k20_filter_2(sK44,X0,X1) = k21_filter_2(sK44,X0,X1)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44) ),
inference(forward_subsumption_resolution,[],[f29359,f20053]) ).
fof(f29361,plain,
! [X0,X1] :
( ~ v10_lattices(sK44)
| m2_filter_2(k21_filter_2(sK44,X0,X1),sK44)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44) ),
inference(forward_subsumption_resolution,[],[f29358,f20053]) ).
fof(f29362,plain,
! [X0,X1] :
( k20_filter_2(sK44,X0,X1) = k21_filter_2(sK44,X0,X1)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44) ),
inference(forward_subsumption_resolution,[],[f29360,f20052]) ).
fof(f29363,plain,
! [X0,X1] :
( m2_filter_2(k21_filter_2(sK44,X0,X1),sK44)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44) ),
inference(forward_subsumption_resolution,[],[f29361,f20052]) ).
fof(f29364,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,sK44)
| ~ m2_filter_2(X0,sK44)
| k20_filter_2(sK44,X0,X1) = k21_filter_2(sK44,X0,X1) ),
inference(forward_subsumption_resolution,[],[f29362,f20050]) ).
fof(f29365,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,sK44)
| ~ m2_filter_2(X0,sK44)
| m2_filter_2(k21_filter_2(sK44,X0,X1),sK44) ),
inference(forward_subsumption_resolution,[],[f29363,f20050]) ).
fof(f29683,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK44))))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(resolution,[],[f20128,f29181]) ).
fof(f29684,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK44)))) ),
inference(forward_subsumption_resolution,[],[f29683,f29026]) ).
fof(f29686,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ m1_filter_0(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44)) ),
inference(forward_demodulation,[],[f29684,f28946]) ).
fof(f29688,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_filter_0(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44)) ),
inference(forward_demodulation,[],[f29686,f28977]) ).
fof(f29691,definition,
( spl883_116
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_filter_0(X0,k1_lattice2(sK44)) ) ),
introduced(definition,[new_symbols(definition,[spl883_116])],[avatar_definition]) ).
fof(f29692,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl883_116 ),
inference(avatar_component_clause,[],[f29691]) ).
fof(f29693,plain,
( spl883_41
| spl883_116 ),
inference(avatar_split_clause,[],[f29688,f29691,f28957]) ).
fof(f29783,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK44)
| m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl883_75
| ~ spl883_116 ),
inference(resolution,[],[f29692,f29272]) ).
fof(f29899,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| k20_filter_2(sK44,X0,sK46) = k21_filter_2(sK44,X0,sK46) ),
inference(resolution,[],[f29364,f20055]) ).
fof(f29908,plain,
k21_filter_2(sK44,sK45,sK46) = k20_filter_2(sK44,sK45,sK46),
inference(resolution,[],[f29899,f20054]) ).
fof(f29916,plain,
~ r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),k20_filter_2(sK44,sK45,sK46)),
inference(superposition,[],[f29072,f29908]) ).
fof(f29955,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| k19_filter_2(sK44,X0) = X1
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f19966,f20052]) ).
fof(f29958,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| k19_filter_2(sK44,X0) = X1
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29955,f20053]) ).
fof(f29960,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| k19_filter_2(sK44,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f29958,f20050]) ).
fof(f29962,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| k19_filter_2(sK44,X0) = X1 ),
inference(forward_demodulation,[],[f29960,f28977]) ).
fof(f30009,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ r1_tarski(X0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| k19_filter_2(sK44,X0) = X0 ),
inference(resolution,[],[f19965,f29962]) ).
fof(f30010,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(duplicate_literal_removal,[],[f30009]) ).
fof(f30011,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30010,f20053]) ).
fof(f30012,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30011,f20052]) ).
fof(f30013,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30012,f20050]) ).
fof(f30014,plain,
! [X0] :
( k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30013,f20730]) ).
fof(f30015,plain,
( ! [X0] :
( k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44))) )
| ~ spl883_75
| ~ spl883_116 ),
inference(forward_subsumption_resolution,[],[f30014,f29783]) ).
fof(f30016,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0) )
| ~ spl883_75
| ~ spl883_116 ),
inference(forward_demodulation,[],[f30015,f28977]) ).
fof(f30017,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK44)
| k19_filter_2(sK44,X0) = X0
| v1_xboole_0(X0) )
| ~ spl883_75
| ~ spl883_116 ),
inference(forward_subsumption_resolution,[],[f30016,f29783]) ).
fof(f35631,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| m2_filter_2(k21_filter_2(sK44,X0,sK46),sK44) ),
inference(resolution,[],[f29365,f20055]) ).
fof(f36877,plain,
m2_filter_2(k21_filter_2(sK44,sK45,sK46),sK44),
inference(resolution,[],[f35631,f20054]) ).
fof(f36882,plain,
m2_filter_2(k20_filter_2(sK44,sK45,sK46),sK44),
inference(forward_demodulation,[],[f36877,f29908]) ).
fof(f36911,plain,
( k20_filter_2(sK44,sK45,sK46) = k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46))
| v1_xboole_0(k20_filter_2(sK44,sK45,sK46))
| ~ spl883_75
| ~ spl883_116 ),
inference(resolution,[],[f36882,f30017]) ).
fof(f36918,definition,
( spl883_476
<=> v1_xboole_0(k20_filter_2(sK44,sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl883_476])],[avatar_definition]) ).
fof(f36919,plain,
( v1_xboole_0(k20_filter_2(sK44,sK45,sK46))
| ~ spl883_476 ),
inference(avatar_component_clause,[],[f36918]) ).
fof(f36921,definition,
( spl883_477
<=> k20_filter_2(sK44,sK45,sK46) = k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl883_477])],[avatar_definition]) ).
fof(f36922,plain,
( k20_filter_2(sK44,sK45,sK46) = k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46))
| ~ spl883_477 ),
inference(avatar_component_clause,[],[f36921]) ).
fof(f36923,plain,
( spl883_476
| spl883_477
| ~ spl883_75
| ~ spl883_116 ),
inference(avatar_split_clause,[],[f36911,f29691,f29230,f36921,f36918]) ).
fof(f37515,plain,
( $false
| ~ spl883_476 ),
inference(unit_resulting_resolution,[],[f19800,f20050,f20052,f20053,f36882,f36919]) ).
fof(f37519,plain,
~ spl883_476,
inference(avatar_contradiction_clause,[],[f37515]) ).
fof(f37527,plain,
( r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k20_filter_2(sK44,sK45,sK46))
| ~ m2_filter_2(sK46,sK44)
| ~ m2_filter_2(sK45,sK44)
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ spl883_477 ),
inference(superposition,[],[f20012,f36922]) ).
fof(f37529,plain,
( r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k20_filter_2(sK44,sK45,sK46))
| ~ m2_filter_2(sK45,sK44)
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ spl883_477 ),
inference(forward_subsumption_resolution,[],[f37527,f20055]) ).
fof(f37534,plain,
( r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k20_filter_2(sK44,sK45,sK46))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ spl883_477 ),
inference(forward_subsumption_resolution,[],[f37529,f20054]) ).
fof(f37537,plain,
( r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k20_filter_2(sK44,sK45,sK46))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ spl883_477 ),
inference(forward_subsumption_resolution,[],[f37534,f20053]) ).
fof(f37540,plain,
( r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k20_filter_2(sK44,sK45,sK46))
| ~ l3_lattices(sK44)
| ~ spl883_477 ),
inference(forward_subsumption_resolution,[],[f37537,f20052]) ).
fof(f37542,plain,
( r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k20_filter_2(sK44,sK45,sK46))
| ~ spl883_477 ),
inference(forward_subsumption_resolution,[],[f37540,f20050]) ).
fof(f37545,plain,
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,sK46)),k20_filter_2(sK44,sK45,sK46))
| ~ spl883_477 ),
inference(forward_demodulation,[],[f37542,f28977]) ).
fof(f37546,plain,
( r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),k20_filter_2(sK44,sK45,sK46))
| ~ spl883_477 ),
inference(forward_demodulation,[],[f37545,f29039]) ).
fof(f37547,plain,
( $false
| ~ spl883_477 ),
inference(forward_subsumption_resolution,[],[f37546,f29916]) ).
fof(f37548,plain,
~ spl883_477,
inference(avatar_contradiction_clause,[],[f37547]) ).
cnf(s53,plain,
~ spl883_41,
inference(sat_conversion,[],[f29197]) ).
cnf(s57,plain,
( spl883_41
| spl883_75 ),
inference(sat_conversion,[],[f29232]) ).
cnf(s107,plain,
( spl883_41
| spl883_116 ),
inference(sat_conversion,[],[f29693]) ).
cnf(s551,plain,
( ~ spl883_75
| ~ spl883_116
| spl883_476
| spl883_477 ),
inference(sat_conversion,[],[f36923]) ).
cnf(s585,plain,
~ spl883_476,
inference(sat_conversion,[],[f37519]) ).
cnf(s589,plain,
~ spl883_477,
inference(sat_conversion,[],[f37548]) ).
cnf(s591,plain,
( ~ spl883_75
| ~ spl883_116 ),
inference(rat,[],[s551,s589,s585]) ).
cnf(s674,plain,
spl883_116,
inference(rat,[],[s107,s53]) ).
cnf(s687,plain,
spl883_75,
inference(rat,[],[s57,s53]) ).
cnf(s695,plain,
$false,
inference(rat,[],[s591,s674,s687]) ).
fof(f37549,plain,
$false,
inference(avatar_sat_refutation,[],[s695]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT320+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:36:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 14.88/3.63 % (1028402)Detected formulas, will run a generic FOF schedule.
% 14.88/3.63 % (1028409)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=3653600445:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 14.88/3.63 % (1028412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2403032130:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 14.88/3.63 % (1028411)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=434270048:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 14.88/3.63 % (1028410)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=618454058:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 14.88/3.63 % (1028408)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=2462961455:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 14.88/3.63 % (1028407)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=1675635463:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 14.88/3.63 % (1028413)dis-21_1_sil=8000:lcm=predicate:random_seed=2675773608:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 14.88/3.63 % (1028412)Instruction limit reached!
% 14.88/3.63 % (1028412)------------------------------
% 14.88/3.63 % (1028412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.63 % (1028412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.63 % (1028412)CaDiCaL version: 2.1.3
% 14.88/3.63 % (1028412)Termination reason: Instruction limit
% 14.88/3.63 % (1028412)Termination phase: Property scanning
% 14.88/3.63 % (1028412)Time elapsed: 0.059 s
% 14.88/3.63 % (1028412)Peak memory usage: 102 MB
% 14.88/3.63 % (1028412)Instructions burned: 139 (million)
% 14.88/3.63 % (1028410)Refutation not found, incomplete strategy
% 14.88/3.63 % (1028410)------------------------------
% 14.88/3.63 % (1028410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.63 % (1028410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.63 % (1028410)CaDiCaL version: 2.1.3
% 14.88/3.63 % (1028410)Termination reason: Refutation not found, incomplete strategy
% 14.88/3.63 % (1028410)Time elapsed: 0.066 s
% 14.88/3.63 % (1028410)Peak memory usage: 107 MB
% 14.88/3.63 % (1028410)Instructions burned: 81 (million)
% 14.88/3.63 % (1028411)Instruction limit reached!
% 14.88/3.63 % (1028411)------------------------------
% 14.88/3.63 % (1028411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.63 % (1028411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.63 % (1028411)CaDiCaL version: 2.1.3
% 14.88/3.63 % (1028411)Termination reason: Instruction limit
% 14.88/3.63 % (1028411)Termination phase: Function definition elimination
% 14.88/3.63 % (1028411)Time elapsed: 0.093 s
% 14.88/3.63 % (1028411)Peak memory usage: 105 MB
% 14.88/3.63 % (1028411)Instructions burned: 119 (million)
% 14.88/3.63 % (1028413)Instruction limit reached!
% 14.88/3.63 % (1028413)------------------------------
% 14.88/3.63 % (1028413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.63 % (1028413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.63 % (1028413)CaDiCaL version: 2.1.3
% 14.88/3.63 % (1028413)Termination reason: Instruction limit
% 14.88/3.63 % (1028413)Termination phase: Preprocessing 1
% 14.88/3.63 % (1028413)Time elapsed: 0.096 s
% 14.88/3.63 % (1028413)Peak memory usage: 104 MB
% 14.88/3.63 % (1028413)Instructions burned: 129 (million)
% 14.88/3.63 % (1028421)lrs+10_1_sil=8000:sp=occurrence:random_seed=1085648318:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 14.88/3.63 % (1028422)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2541311855:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.88/3.63 % (1028423)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3570240487:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.88/3.63 % (1028422)Instruction limit reached!
% 14.88/3.63 % (1028422)------------------------------
% 14.88/3.63 % (1028422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.63 % (1028422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/4.58 % (1028422)CaDiCaL version: 2.1.3
% 21.76/4.58 % (1028422)Termination reason: Instruction limit
% 21.76/4.58 % (1028422)Termination phase: Property scanning
% 21.76/4.58 % (1028422)Time elapsed: 0.067 s
% 21.76/4.58 % (1028422)Peak memory usage: 102 MB
% 21.76/4.58 % (1028422)Instructions burned: 159 (million)
% 21.76/4.58 % (1028410)------------------------------
% 21.76/4.58 % (1028410)------------------------------
% 21.76/4.58 % (1028423)Refutation not found, incomplete strategy
% 21.76/4.58 % (1028423)------------------------------
% 21.76/4.58 % (1028423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/4.58 % (1028423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/4.58 % (1028423)CaDiCaL version: 2.1.3
% 21.76/4.58 % (1028423)Termination reason: Refutation not found, incomplete strategy
% 21.76/4.58 % (1028423)Time elapsed: 0.070 s
% 21.76/4.58 % (1028423)Peak memory usage: 107 MB
% 21.76/4.58 % (1028423)Instructions burned: 80 (million)
% 21.76/4.58 % (1028421)Instruction limit reached!
% 21.76/4.58 % (1028421)------------------------------
% 21.76/4.58 % (1028421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/4.58 % (1028421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/4.58 % (1028421)CaDiCaL version: 2.1.3
% 21.76/4.58 % (1028421)Termination reason: Instruction limit
% 21.76/4.58 % (1028421)Termination phase: Saturation
% 21.76/4.58 % (1028421)Time elapsed: 0.211 s
% 21.76/4.58 % (1028421)Peak memory usage: 110 MB
% 21.76/4.58 % (1028421)Instructions burned: 286 (million)
% 21.76/4.58 % (1028427)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=4123198366:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 21.76/4.58 % (1028428)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3674741951:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 21.76/4.58 % (1028429)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=694870823:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 21.76/4.58 % (1028427)Instruction limit reached!
% 21.76/4.58 % (1028427)------------------------------
% 21.76/4.58 % (1028427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/4.58 % (1028427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/4.58 % (1028427)CaDiCaL version: 2.1.3
% 21.76/4.58 % (1028427)Termination reason: Instruction limit
% 21.76/4.58 % (1028427)Termination phase: SInE selection
% 21.76/4.58 % (1028427)Time elapsed: 0.128 s
% 21.76/4.58 % (1028427)Peak memory usage: 103 MB
% 21.76/4.58 % (1028427)Instructions burned: 249 (million)
% 21.76/4.58 % (1028423)------------------------------
% 21.76/4.58 % (1028423)------------------------------
% 21.76/4.58 % (1028428)Instruction limit reached!
% 21.76/4.58 % (1028428)------------------------------
% 21.76/4.58 % (1028428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/4.58 % (1028428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/4.58 % (1028428)CaDiCaL version: 2.1.3
% 21.76/4.58 % (1028428)Termination reason: Instruction limit
% 21.76/4.58 % (1028428)Termination phase: Saturation
% 21.76/4.58 % (1028428)Time elapsed: 0.190 s
% 21.76/4.58 % (1028428)Peak memory usage: 111 MB
% 21.76/4.58 % (1028428)Instructions burned: 294 (million)
% 21.76/4.58 % (1028433)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=712555223:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 21.76/4.58 % (1028434)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1813504838:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 21.76/4.58 % (1028433)Instruction limit reached!
% 21.76/4.58 % (1028433)------------------------------
% 21.76/4.58 % (1028433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/4.58 % (1028433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/4.58 % (1028433)CaDiCaL version: 2.1.3
% 21.76/4.58 % (1028433)Termination reason: Instruction limit
% 21.76/4.58 % (1028433)Termination phase: Preprocessing 3
% 21.76/4.58 % (1028433)Time elapsed: 0.095 s
% 21.76/4.58 % (1028433)Peak memory usage: 105 MB
% 21.76/4.58 % (1028433)Instructions burned: 114 (million)
% 21.76/4.58 % (1028435)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=579992264:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 17.74/5.23 % (1028434)Instruction limit reached!
% 17.74/5.23 % (1028434)------------------------------
% 17.74/5.23 % (1028434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028434)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028434)Termination reason: Instruction limit
% 17.74/5.23 % (1028434)Termination phase: Preprocessing 2
% 17.74/5.23 % (1028434)Time elapsed: 0.101 s
% 17.74/5.23 % (1028434)Peak memory usage: 106 MB
% 17.74/5.23 % (1028434)Instructions burned: 128 (million)
% 17.74/5.23 % (1028435)Instruction limit reached!
% 17.74/5.23 % (1028435)------------------------------
% 17.74/5.23 % (1028435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028435)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028435)Termination reason: Instruction limit
% 17.74/5.23 % (1028435)Termination phase: Property scanning
% 17.74/5.23 % (1028435)Time elapsed: 0.048 s
% 17.74/5.23 % (1028435)Peak memory usage: 102 MB
% 17.74/5.23 % (1028435)Instructions burned: 114 (million)
% 17.74/5.23 % (1028439)lrs+10_1_sil=8000:sp=occurrence:random_seed=1341822684:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 17.74/5.23 % (1028440)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3516458425:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 17.74/5.23 % (1028441)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1784985111:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 17.74/5.23 % (1028440)Instruction limit reached!
% 17.74/5.23 % (1028440)------------------------------
% 17.74/5.23 % (1028440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028440)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028440)Termination reason: Instruction limit
% 17.74/5.23 % (1028440)Termination phase: Saturation
% 17.74/5.23 % (1028440)Time elapsed: 0.275 s
% 17.74/5.23 % (1028440)Peak memory usage: 109 MB
% 17.74/5.23 % (1028440)Instructions burned: 439 (million)
% 17.74/5.23 % (1028445)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3839404610:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 17.74/5.23 % (1028445)Instruction limit reached!
% 17.74/5.23 % (1028445)------------------------------
% 17.74/5.23 % (1028445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028445)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028445)Termination reason: Instruction limit
% 17.74/5.23 % (1028445)Termination phase: Property scanning
% 17.74/5.23 % (1028445)Time elapsed: 0.101 s
% 17.74/5.23 % (1028445)Peak memory usage: 106 MB
% 17.74/5.23 % (1028445)Instructions burned: 135 (million)
% 17.74/5.23 % (1028439)Instruction limit reached!
% 17.74/5.23 % (1028439)------------------------------
% 17.74/5.23 % (1028439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028439)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028439)Termination reason: Instruction limit
% 17.74/5.23 % (1028439)Termination phase: Saturation
% 17.74/5.23 % (1028439)Time elapsed: 0.584 s
% 17.74/5.23 % (1028439)Peak memory usage: 121 MB
% 17.74/5.23 % (1028439)Instructions burned: 908 (million)
% 17.74/5.23 % (1028447)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1679191663:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 17.74/5.23 % (1028448)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=105288337:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 17.74/5.23 % (1028447)Instruction limit reached!
% 17.74/5.23 % (1028447)------------------------------
% 17.74/5.23 % (1028447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028447)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028447)Termination reason: Instruction limit
% 17.74/5.23 % (1028447)Termination phase: Property scanning
% 17.74/5.23 % (1028447)Time elapsed: 0.386 s
% 17.74/5.23 % (1028447)Peak memory usage: 123 MB
% 17.74/5.23 % (1028447)Instructions burned: 593 (million)
% 17.74/5.23 % (1028429)Instruction limit reached!
% 17.74/5.23 % (1028429)------------------------------
% 17.74/5.23 % (1028429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028429)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028429)Termination reason: Instruction limit
% 17.74/5.23 % (1028429)Termination phase: Saturation
% 17.74/5.23 % (1028429)Time elapsed: 1.419 s
% 17.74/5.23 % (1028429)Peak memory usage: 241 MB
% 17.74/5.23 % (1028429)Instructions burned: 2351 (million)
% 17.74/5.23 % (1028451)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1907717364:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 17.74/5.23 % (1028452)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1689270133:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 17.74/5.23 % (1028451)Instruction limit reached!
% 17.74/5.23 % (1028451)------------------------------
% 17.74/5.23 % (1028451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028451)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028451)Termination reason: Instruction limit
% 17.74/5.23 % (1028451)Termination phase: Property scanning
% 17.74/5.23 % (1028451)Time elapsed: 0.053 s
% 17.74/5.23 % (1028451)Peak memory usage: 102 MB
% 17.74/5.23 % (1028451)Instructions burned: 125 (million)
% 17.74/5.23 % (1028452)Instruction limit reached!
% 17.74/5.23 % (1028452)------------------------------
% 17.74/5.23 % (1028452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028452)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028452)Termination reason: Instruction limit
% 17.74/5.23 % (1028452)Termination phase: Property scanning
% 17.74/5.23 % (1028452)Time elapsed: 0.058 s
% 17.74/5.23 % (1028452)Peak memory usage: 102 MB
% 17.74/5.23 % (1028452)Instructions burned: 135 (million)
% 17.74/5.23 % (1028455)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=764009336:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 17.74/5.23 % (1028456)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4072725823:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 17.74/5.23 % (1028455)Refutation not found, incomplete strategy
% 17.74/5.23 % (1028455)------------------------------
% 17.74/5.23 % (1028455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028455)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028455)Termination reason: Refutation not found, incomplete strategy
% 17.74/5.23 % (1028455)Time elapsed: 0.067 s
% 17.74/5.23 % (1028455)Peak memory usage: 107 MB
% 17.74/5.23 % (1028455)Instructions burned: 79 (million)
% 17.74/5.23 % (1028456)Refutation not found, incomplete strategy
% 17.74/5.23 % (1028456)------------------------------
% 17.74/5.23 % (1028456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028456)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028456)Termination reason: Refutation not found, incomplete strategy
% 17.74/5.23 % (1028456)Time elapsed: 0.073 s
% 17.74/5.23 % (1028456)Peak memory usage: 107 MB
% 17.74/5.23 % (1028456)Instructions burned: 86 (million)
% 17.74/5.23 % (1028455)------------------------------
% 17.74/5.23 % (1028455)------------------------------
% 17.74/5.23 % (1028456)------------------------------
% 17.74/5.23 % (1028456)------------------------------
% 17.74/5.23 % (1028459)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=534726426:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 17.74/5.23 % (1028460)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=934550510:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2965 on theBenchmark for (2965ds/150Mi)
% 17.74/5.23 % (1028460)Instruction limit reached!
% 17.74/5.23 % (1028460)------------------------------
% 17.74/5.23 % (1028460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/5.23 % (1028460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/5.23 % (1028460)CaDiCaL version: 2.1.3
% 17.74/5.23 % (1028460)Termination reason: Instruction limit
% 17.74/5.23 % (1028460)Termination phase: Preprocessing 1
% 17.74/5.23 % (1028460)Time elapsed: 0.116 s
% 17.74/5.23 % (1028460)Peak memory usage: 103 MB
% 17.74/5.23 % (1028460)Instructions burned: 151 (million)
% 17.74/5.23 % (1028463)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=430445536:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 17.74/5.23 % (1028408)First to succeed.
% 17.74/5.23 % (1028408)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1028402"
% 17.74/5.23 % (1028408)Refutation found. Thanks to Tanya!
% 17.74/5.23 % SZS status Theorem for theBenchmark
% 17.74/5.23 % SZS output start Proof for theBenchmark
% See solution above
% 27.32/5.42 % (1028408)------------------------------
% 27.32/5.42 % (1028408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.32/5.42 % (1028408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.32/5.42 % (1028408)CaDiCaL version: 2.1.3
% 27.32/5.42 % (1028408)Termination reason: Refutation
% 27.32/5.42 % (1028408)Time elapsed: 3.229 s
% 27.32/5.42 % (1028408)Peak memory usage: 234 MB
% 27.32/5.42 % (1028408)Instructions burned: 5087 (million)
% 27.32/5.42 % (1028408)------------------------------
% 27.32/5.42 % (1028408)------------------------------
% 27.32/5.42 % (1028402)Success in time 4.376 s
% 27.32/5.42 % Vampire exiting
%------------------------------------------------------------------------------