%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT337+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 : n020.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 11:47:04 AM UTC 2026
% Result : Theorem 5.50s 3.21s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 191 ( 29 unt; 14 def)
% Number of atoms : 951 ( 6 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 1318 ( 558 ~; 571 |; 150 &)
% ( 13 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 14 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 98 ( 0 sgn 92 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f6661,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v17_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f6663,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_lattices) ).
fof(f13571,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f13676,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( v11_lattices(X0)
=> v11_lattices(k23_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_filter_2) ).
fof(f13682,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& k6_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X2
& k5_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t84_filter_2) ).
fof(f13684,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0)
& v12_lattices(X0)
& r3_lattices(X0,X1,X2) )
=> ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
fof(f13685,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2) )
=> ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
fof(f13686,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2) )
=> ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13685]) ).
fof(f13799,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13571]) ).
fof(f13800,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f13799]) ).
fof(f14006,plain,
! [X0] :
( ! [X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13676]) ).
fof(f14007,plain,
! [X0] :
( ! [X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14006]) ).
fof(f14018,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& k6_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X2
& k5_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X1 )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13682]) ).
fof(f14019,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& k6_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X2
& k5_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X1 )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14018]) ).
fof(f14022,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13684]) ).
fof(f14023,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14022]) ).
fof(f14024,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13686]) ).
fof(f14025,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f14024]) ).
fof(f14388,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6661]) ).
fof(f14389,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14388]) ).
fof(f14390,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(f14391,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,[],[f14390]) ).
fof(f14535,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6663]) ).
fof(f14536,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14535]) ).
fof(f14591,definition,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| ~ sP18(X0) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f14592,plain,
! [X0] :
( sP18(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f14536,f14591]) ).
fof(f14676,plain,
( ( v3_struct_0(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ v10_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ v17_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ l3_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) )
& ~ v3_struct_0(sK53)
& v10_lattices(sK53)
& v17_lattices(sK53)
& l3_lattices(sK53)
& r3_lattices(sK53,sK54,sK55)
& m1_subset_1(sK55,u1_struct_0(sK53))
& m1_subset_1(sK54,u1_struct_0(sK53))
& ~ v3_struct_0(sK53)
& v10_lattices(sK53)
& l3_lattices(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55)],[f14025]) ).
fof(f14920,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| ~ sP18(X0) ),
inference(nnf_transformation,[],[f14591]) ).
fof(f14978,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13800]) ).
fof(f14979,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13800]) ).
fof(f15281,plain,
! [X0,X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14007]) ).
fof(f15290,plain,
! [X2,X0,X1] :
( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14019]) ).
fof(f15296,plain,
! [X2,X0,X1] :
( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14023]) ).
fof(f15297,plain,
! [X2,X0,X1] :
( v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14023]) ).
fof(f15299,plain,
! [X2,X0,X1] :
( v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14023]) ).
fof(f15300,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14023]) ).
fof(f15301,plain,
l3_lattices(sK53),
inference(cnf_transformation,[],[f14676]) ).
fof(f15302,plain,
v10_lattices(sK53),
inference(cnf_transformation,[],[f14676]) ).
fof(f15303,plain,
~ v3_struct_0(sK53),
inference(cnf_transformation,[],[f14676]) ).
fof(f15304,plain,
m1_subset_1(sK54,u1_struct_0(sK53)),
inference(cnf_transformation,[],[f14676]) ).
fof(f15305,plain,
m1_subset_1(sK55,u1_struct_0(sK53)),
inference(cnf_transformation,[],[f14676]) ).
fof(f15306,plain,
r3_lattices(sK53,sK54,sK55),
inference(cnf_transformation,[],[f14676]) ).
fof(f15308,plain,
v17_lattices(sK53),
inference(cnf_transformation,[],[f14676]) ).
fof(f15311,plain,
( v3_struct_0(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ v10_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ v17_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ l3_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
inference(cnf_transformation,[],[f14676]) ).
fof(f15816,plain,
! [X0] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14389]) ).
fof(f15818,plain,
! [X0] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14391]) ).
fof(f15819,plain,
! [X0] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14391]) ).
fof(f15822,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14391]) ).
fof(f16082,plain,
! [X0] :
( v12_lattices(X0)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f14920]) ).
fof(f16091,plain,
! [X0] :
( sP18(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14592]) ).
fof(f16265,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f15300]) ).
fof(f16266,plain,
! [X2,X0,X1] :
( v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f15299]) ).
fof(f16268,plain,
! [X2,X0,X1] :
( v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f15297]) ).
fof(f16269,plain,
! [X2,X0,X1] :
( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f15296]) ).
fof(f16306,definition,
( spl177_1
<=> l3_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
introduced(definition,[new_symbols(definition,[spl177_1])],[avatar_definition]) ).
fof(f16307,plain,
( ~ l3_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| spl177_1 ),
inference(avatar_component_clause,[],[f16306]) ).
fof(f16309,definition,
( spl177_2
<=> v17_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
introduced(definition,[new_symbols(definition,[spl177_2])],[avatar_definition]) ).
fof(f16310,plain,
( ~ v17_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| spl177_2 ),
inference(avatar_component_clause,[],[f16309]) ).
fof(f16312,definition,
( spl177_3
<=> v10_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
introduced(definition,[new_symbols(definition,[spl177_3])],[avatar_definition]) ).
fof(f16313,plain,
( ~ v10_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| spl177_3 ),
inference(avatar_component_clause,[],[f16312]) ).
fof(f16315,definition,
( spl177_4
<=> v3_struct_0(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
introduced(definition,[new_symbols(definition,[spl177_4])],[avatar_definition]) ).
fof(f16316,plain,
( v3_struct_0(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ spl177_4 ),
inference(avatar_component_clause,[],[f16315]) ).
fof(f16317,plain,
( ~ spl177_1
| ~ spl177_2
| ~ spl177_3
| spl177_4 ),
inference(avatar_split_clause,[],[f15311,f16315,f16312,f16309,f16306]) ).
fof(f16342,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_1 ),
inference(resolution,[],[f16307,f16269]) ).
fof(f16347,plain,
( ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_1 ),
inference(forward_subsumption_resolution,[],[f16342,f15303]) ).
fof(f16349,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_1 ),
inference(forward_subsumption_resolution,[],[f16347,f15302]) ).
fof(f16351,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_1 ),
inference(forward_subsumption_resolution,[],[f16349,f15301]) ).
fof(f16359,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_1 ),
inference(forward_subsumption_resolution,[],[f16351,f15306]) ).
fof(f16360,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_1 ),
inference(forward_subsumption_resolution,[],[f16359,f15305]) ).
fof(f16361,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| spl177_1 ),
inference(forward_subsumption_resolution,[],[f16360,f15304]) ).
fof(f16363,definition,
( spl177_9
<=> v12_lattices(sK53) ),
introduced(definition,[new_symbols(definition,[spl177_9])],[avatar_definition]) ).
fof(f16364,plain,
( ~ v12_lattices(sK53)
| spl177_9 ),
inference(avatar_component_clause,[],[f16363]) ).
fof(f16366,definition,
( spl177_10
<=> v16_lattices(sK53) ),
introduced(definition,[new_symbols(definition,[spl177_10])],[avatar_definition]) ).
fof(f16367,plain,
( ~ v16_lattices(sK53)
| spl177_10 ),
inference(avatar_component_clause,[],[f16366]) ).
fof(f16369,definition,
( spl177_11
<=> v15_lattices(sK53) ),
introduced(definition,[new_symbols(definition,[spl177_11])],[avatar_definition]) ).
fof(f16370,plain,
( ~ v15_lattices(sK53)
| spl177_11 ),
inference(avatar_component_clause,[],[f16369]) ).
fof(f16371,plain,
( ~ spl177_9
| ~ spl177_10
| ~ spl177_11
| spl177_1 ),
inference(avatar_split_clause,[],[f16361,f16306,f16369,f16366,f16363]) ).
fof(f16372,plain,
( v3_struct_0(sK53)
| ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_11 ),
inference(resolution,[],[f16370,f15819]) ).
fof(f16381,plain,
( ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_11 ),
inference(forward_subsumption_resolution,[],[f16372,f15303]) ).
fof(f16385,plain,
( ~ l3_lattices(sK53)
| spl177_11 ),
inference(forward_subsumption_resolution,[],[f16381,f15308]) ).
fof(f16396,plain,
( $false
| spl177_11 ),
inference(forward_subsumption_resolution,[],[f16385,f15301]) ).
fof(f16397,plain,
spl177_11,
inference(avatar_contradiction_clause,[],[f16396]) ).
fof(f16398,plain,
( ~ sP18(sK53)
| spl177_9 ),
inference(resolution,[],[f16364,f16082]) ).
fof(f16400,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ v11_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_9 ),
inference(resolution,[],[f16398,f16091]) ).
fof(f16401,plain,
( ~ v10_lattices(sK53)
| ~ v11_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_9 ),
inference(forward_subsumption_resolution,[],[f16400,f15303]) ).
fof(f16402,plain,
( ~ v11_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_9 ),
inference(forward_subsumption_resolution,[],[f16401,f15302]) ).
fof(f16403,plain,
( ~ v11_lattices(sK53)
| spl177_9 ),
inference(forward_subsumption_resolution,[],[f16402,f15301]) ).
fof(f16416,plain,
( v3_struct_0(sK53)
| ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_9 ),
inference(resolution,[],[f16403,f15822]) ).
fof(f16421,plain,
( ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_9 ),
inference(forward_subsumption_resolution,[],[f16416,f15303]) ).
fof(f16424,plain,
( ~ l3_lattices(sK53)
| spl177_9 ),
inference(forward_subsumption_resolution,[],[f16421,f15308]) ).
fof(f16428,plain,
( $false
| spl177_9 ),
inference(forward_subsumption_resolution,[],[f16424,f15301]) ).
fof(f16429,plain,
spl177_9,
inference(avatar_contradiction_clause,[],[f16428]) ).
fof(f16430,plain,
( v3_struct_0(sK53)
| ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_10 ),
inference(resolution,[],[f16367,f15818]) ).
fof(f16434,plain,
( ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_10 ),
inference(forward_subsumption_resolution,[],[f16430,f15303]) ).
fof(f16436,plain,
( ~ l3_lattices(sK53)
| spl177_10 ),
inference(forward_subsumption_resolution,[],[f16434,f15308]) ).
fof(f16439,plain,
( $false
| spl177_10 ),
inference(forward_subsumption_resolution,[],[f16436,f15301]) ).
fof(f16440,plain,
spl177_10,
inference(avatar_contradiction_clause,[],[f16439]) ).
fof(f16442,plain,
( v3_struct_0(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ v11_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ v15_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ v16_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| ~ l3_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| spl177_2 ),
inference(resolution,[],[f16310,f15816]) ).
fof(f16447,definition,
( spl177_14
<=> v11_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
introduced(definition,[new_symbols(definition,[spl177_14])],[avatar_definition]) ).
fof(f16448,plain,
( ~ v11_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| spl177_14 ),
inference(avatar_component_clause,[],[f16447]) ).
fof(f16450,definition,
( spl177_15
<=> v16_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
introduced(definition,[new_symbols(definition,[spl177_15])],[avatar_definition]) ).
fof(f16451,plain,
( ~ v16_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| spl177_15 ),
inference(avatar_component_clause,[],[f16450]) ).
fof(f16453,definition,
( spl177_16
<=> v15_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55))) ),
introduced(definition,[new_symbols(definition,[spl177_16])],[avatar_definition]) ).
fof(f16454,plain,
( ~ v15_lattices(k23_filter_2(sK53,k22_filter_2(sK53,sK54,sK55)))
| spl177_16 ),
inference(avatar_component_clause,[],[f16453]) ).
fof(f16456,plain,
( ~ spl177_1
| ~ spl177_15
| ~ spl177_16
| ~ spl177_14
| spl177_4
| spl177_2 ),
inference(avatar_split_clause,[],[f16442,f16309,f16315,f16447,f16453,f16450,f16306]) ).
fof(f16457,plain,
( ~ v11_lattices(sK53)
| v1_xboole_0(k22_filter_2(sK53,sK54,sK55))
| ~ m2_lattice4(k22_filter_2(sK53,sK54,sK55),sK53)
| v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_14 ),
inference(resolution,[],[f16448,f15281]) ).
fof(f16468,plain,
( ~ v11_lattices(sK53)
| v1_xboole_0(k22_filter_2(sK53,sK54,sK55))
| ~ m2_lattice4(k22_filter_2(sK53,sK54,sK55),sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_14 ),
inference(forward_subsumption_resolution,[],[f16457,f15303]) ).
fof(f16469,plain,
( ~ v11_lattices(sK53)
| v1_xboole_0(k22_filter_2(sK53,sK54,sK55))
| ~ m2_lattice4(k22_filter_2(sK53,sK54,sK55),sK53)
| ~ l3_lattices(sK53)
| spl177_14 ),
inference(forward_subsumption_resolution,[],[f16468,f15302]) ).
fof(f16470,plain,
( ~ v11_lattices(sK53)
| v1_xboole_0(k22_filter_2(sK53,sK54,sK55))
| ~ m2_lattice4(k22_filter_2(sK53,sK54,sK55),sK53)
| spl177_14 ),
inference(forward_subsumption_resolution,[],[f16469,f15301]) ).
fof(f16472,definition,
( spl177_18
<=> m2_lattice4(k22_filter_2(sK53,sK54,sK55),sK53) ),
introduced(definition,[new_symbols(definition,[spl177_18])],[avatar_definition]) ).
fof(f16473,plain,
( ~ m2_lattice4(k22_filter_2(sK53,sK54,sK55),sK53)
| spl177_18 ),
inference(avatar_component_clause,[],[f16472]) ).
fof(f16475,definition,
( spl177_19
<=> v1_xboole_0(k22_filter_2(sK53,sK54,sK55)) ),
introduced(definition,[new_symbols(definition,[spl177_19])],[avatar_definition]) ).
fof(f16476,plain,
( v1_xboole_0(k22_filter_2(sK53,sK54,sK55))
| ~ spl177_19 ),
inference(avatar_component_clause,[],[f16475]) ).
fof(f16478,definition,
( spl177_20
<=> v11_lattices(sK53) ),
introduced(definition,[new_symbols(definition,[spl177_20])],[avatar_definition]) ).
fof(f16479,plain,
( ~ v11_lattices(sK53)
| spl177_20 ),
inference(avatar_component_clause,[],[f16478]) ).
fof(f16480,plain,
( ~ spl177_18
| spl177_19
| ~ spl177_20
| spl177_14 ),
inference(avatar_split_clause,[],[f16470,f16447,f16478,f16475,f16472]) ).
fof(f16481,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_3 ),
inference(resolution,[],[f16313,f16266]) ).
fof(f16513,plain,
( ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_3 ),
inference(forward_subsumption_resolution,[],[f16481,f15303]) ).
fof(f16514,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_3 ),
inference(forward_subsumption_resolution,[],[f16513,f15302]) ).
fof(f16515,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_3 ),
inference(forward_subsumption_resolution,[],[f16514,f15301]) ).
fof(f16516,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_3 ),
inference(forward_subsumption_resolution,[],[f16515,f15306]) ).
fof(f16517,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_3 ),
inference(forward_subsumption_resolution,[],[f16516,f15305]) ).
fof(f16518,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| spl177_3 ),
inference(forward_subsumption_resolution,[],[f16517,f15304]) ).
fof(f16519,plain,
( ~ spl177_9
| ~ spl177_10
| ~ spl177_11
| spl177_3 ),
inference(avatar_split_clause,[],[f16518,f16312,f16369,f16366,f16363]) ).
fof(f16521,plain,
( v3_struct_0(sK53)
| ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_20 ),
inference(resolution,[],[f16479,f15822]) ).
fof(f16526,plain,
( ~ v17_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_20 ),
inference(forward_subsumption_resolution,[],[f16521,f15303]) ).
fof(f16529,plain,
( ~ l3_lattices(sK53)
| spl177_20 ),
inference(forward_subsumption_resolution,[],[f16526,f15308]) ).
fof(f16533,plain,
( $false
| spl177_20 ),
inference(forward_subsumption_resolution,[],[f16529,f15301]) ).
fof(f16534,plain,
spl177_20,
inference(avatar_contradiction_clause,[],[f16533]) ).
fof(f16550,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| spl177_18 ),
inference(resolution,[],[f16473,f14978]) ).
fof(f16555,plain,
( ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| spl177_18 ),
inference(forward_subsumption_resolution,[],[f16550,f15303]) ).
fof(f16557,plain,
( ~ l3_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| spl177_18 ),
inference(forward_subsumption_resolution,[],[f16555,f15302]) ).
fof(f16559,plain,
( ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| spl177_18 ),
inference(forward_subsumption_resolution,[],[f16557,f15301]) ).
fof(f16560,plain,
( ~ m1_subset_1(sK55,u1_struct_0(sK53))
| spl177_18 ),
inference(forward_subsumption_resolution,[],[f16559,f15304]) ).
fof(f16561,plain,
( $false
| spl177_18 ),
inference(forward_subsumption_resolution,[],[f16560,f15305]) ).
fof(f16562,plain,
spl177_18,
inference(avatar_contradiction_clause,[],[f16561]) ).
fof(f16563,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_15 ),
inference(resolution,[],[f16451,f16268]) ).
fof(f16569,plain,
( ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_15 ),
inference(forward_subsumption_resolution,[],[f16563,f15303]) ).
fof(f16570,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_15 ),
inference(forward_subsumption_resolution,[],[f16569,f15302]) ).
fof(f16571,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_15 ),
inference(forward_subsumption_resolution,[],[f16570,f15301]) ).
fof(f16572,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_15 ),
inference(forward_subsumption_resolution,[],[f16571,f15306]) ).
fof(f16573,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| spl177_15 ),
inference(forward_subsumption_resolution,[],[f16572,f15305]) ).
fof(f16574,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| spl177_15 ),
inference(forward_subsumption_resolution,[],[f16573,f15304]) ).
fof(f16575,plain,
( ~ spl177_9
| ~ spl177_10
| ~ spl177_11
| spl177_15 ),
inference(avatar_split_clause,[],[f16574,f16450,f16369,f16366,f16363]) ).
fof(f16577,plain,
( ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_16 ),
inference(resolution,[],[f16454,f15290]) ).
fof(f16594,plain,
( ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_16 ),
inference(forward_subsumption_resolution,[],[f16577,f15306]) ).
fof(f16596,plain,
( ~ m1_subset_1(sK54,u1_struct_0(sK53))
| v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_16 ),
inference(forward_subsumption_resolution,[],[f16594,f15305]) ).
fof(f16598,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_16 ),
inference(forward_subsumption_resolution,[],[f16596,f15304]) ).
fof(f16600,plain,
( ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| spl177_16 ),
inference(forward_subsumption_resolution,[],[f16598,f15303]) ).
fof(f16602,plain,
( ~ l3_lattices(sK53)
| spl177_16 ),
inference(forward_subsumption_resolution,[],[f16600,f15302]) ).
fof(f16604,plain,
( $false
| spl177_16 ),
inference(forward_subsumption_resolution,[],[f16602,f15301]) ).
fof(f16605,plain,
spl177_16,
inference(avatar_contradiction_clause,[],[f16604]) ).
fof(f16608,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ spl177_4 ),
inference(resolution,[],[f16316,f16265]) ).
fof(f16612,plain,
( ~ v10_lattices(sK53)
| ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ spl177_4 ),
inference(forward_subsumption_resolution,[],[f16608,f15303]) ).
fof(f16613,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ spl177_4 ),
inference(forward_subsumption_resolution,[],[f16612,f15302]) ).
fof(f16614,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ r3_lattices(sK53,sK54,sK55)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ spl177_4 ),
inference(forward_subsumption_resolution,[],[f16613,f15301]) ).
fof(f16615,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ spl177_4 ),
inference(forward_subsumption_resolution,[],[f16614,f15306]) ).
fof(f16616,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ spl177_4 ),
inference(forward_subsumption_resolution,[],[f16615,f15305]) ).
fof(f16617,plain,
( ~ v15_lattices(sK53)
| ~ v16_lattices(sK53)
| ~ v12_lattices(sK53)
| ~ spl177_4 ),
inference(forward_subsumption_resolution,[],[f16616,f15304]) ).
fof(f16618,plain,
( ~ spl177_9
| ~ spl177_10
| ~ spl177_11
| ~ spl177_4 ),
inference(avatar_split_clause,[],[f16617,f16315,f16369,f16366,f16363]) ).
fof(f16619,plain,
( v3_struct_0(sK53)
| ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ spl177_19 ),
inference(resolution,[],[f16476,f14979]) ).
fof(f16620,plain,
( ~ v10_lattices(sK53)
| ~ l3_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ spl177_19 ),
inference(forward_subsumption_resolution,[],[f16619,f15303]) ).
fof(f16621,plain,
( ~ l3_lattices(sK53)
| ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ spl177_19 ),
inference(forward_subsumption_resolution,[],[f16620,f15302]) ).
fof(f16622,plain,
( ~ m1_subset_1(sK54,u1_struct_0(sK53))
| ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ spl177_19 ),
inference(forward_subsumption_resolution,[],[f16621,f15301]) ).
fof(f16623,plain,
( ~ m1_subset_1(sK55,u1_struct_0(sK53))
| ~ spl177_19 ),
inference(forward_subsumption_resolution,[],[f16622,f15304]) ).
fof(f16624,plain,
( $false
| ~ spl177_19 ),
inference(forward_subsumption_resolution,[],[f16623,f15305]) ).
fof(f16625,plain,
~ spl177_19,
inference(avatar_contradiction_clause,[],[f16624]) ).
cnf(s1,plain,
( ~ spl177_1
| ~ spl177_2
| ~ spl177_3
| spl177_4 ),
inference(sat_conversion,[],[f16317]) ).
cnf(s4,plain,
( spl177_1
| ~ spl177_9
| ~ spl177_10
| ~ spl177_11 ),
inference(sat_conversion,[],[f16371]) ).
cnf(s8,plain,
spl177_11,
inference(sat_conversion,[],[f16397]) ).
cnf(s10,plain,
spl177_9,
inference(sat_conversion,[],[f16429]) ).
cnf(s12,plain,
spl177_10,
inference(sat_conversion,[],[f16440]) ).
cnf(s14,plain,
( ~ spl177_1
| spl177_2
| spl177_4
| ~ spl177_14
| ~ spl177_15
| ~ spl177_16 ),
inference(sat_conversion,[],[f16456]) ).
cnf(s16,plain,
( spl177_14
| ~ spl177_18
| spl177_19
| ~ spl177_20 ),
inference(sat_conversion,[],[f16480]) ).
cnf(s19,plain,
( spl177_3
| ~ spl177_9
| ~ spl177_10
| ~ spl177_11 ),
inference(sat_conversion,[],[f16519]) ).
cnf(s21,plain,
spl177_20,
inference(sat_conversion,[],[f16534]) ).
cnf(s22,plain,
spl177_18,
inference(sat_conversion,[],[f16562]) ).
cnf(s23,plain,
( ~ spl177_9
| ~ spl177_10
| ~ spl177_11
| spl177_15 ),
inference(sat_conversion,[],[f16575]) ).
cnf(s26,plain,
spl177_16,
inference(sat_conversion,[],[f16605]) ).
cnf(s28,plain,
( ~ spl177_4
| ~ spl177_9
| ~ spl177_10
| ~ spl177_11 ),
inference(sat_conversion,[],[f16618]) ).
cnf(s29,plain,
~ spl177_19,
inference(sat_conversion,[],[f16625]) ).
cnf(s30,plain,
spl177_14,
inference(rat,[],[s16,s21,s29,s22]) ).
cnf(s31,plain,
( ~ spl177_1
| spl177_2
| spl177_4
| ~ spl177_15 ),
inference(rat,[],[s14,s26,s30]) ).
cnf(s33,plain,
spl177_15,
inference(rat,[],[s23,s10,s12,s8]) ).
cnf(s34,plain,
~ spl177_4,
inference(rat,[],[s28,s10,s12,s8]) ).
cnf(s35,plain,
spl177_3,
inference(rat,[],[s19,s10,s12,s8]) ).
cnf(s36,plain,
spl177_1,
inference(rat,[],[s4,s8,s12,s10]) ).
cnf(s37,plain,
spl177_2,
inference(rat,[],[s31,s33,s34,s36]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s34,s35,s37,s36]) ).
fof(f16626,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT337+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 % Computer : n020.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sun Sep 27 14:48:06 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 5.50/3.21 % (3456700)Detected formulas, will run a generic FOF schedule.
% 5.50/3.21 % (3456863)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=908471779:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 5.50/3.21 % (3456865)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2330567004:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 5.50/3.21 % (3456866)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2835465996:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 5.50/3.21 % (3456868)dis-21_1_sil=8000:lcm=predicate:random_seed=1227707639: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)
% 5.50/3.21 % (3456867)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1773943203:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 5.50/3.21 % (3456862)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=2559933149:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 5.50/3.21 % (3456864)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=1338687846:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 5.50/3.21 % (3456867)Instruction limit reached!
% 5.50/3.21 % (3456867)------------------------------
% 5.50/3.21 % (3456867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456867)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456867)Termination reason: Instruction limit
% 5.50/3.21 % (3456867)Termination phase: Property scanning
% 5.50/3.21 % (3456867)Time elapsed: 0.059 s
% 5.50/3.21 % (3456867)Peak memory usage: 102 MB
% 5.50/3.21 % (3456867)Instructions burned: 141 (million)
% 5.50/3.21 % (3456865)Refutation not found, incomplete strategy
% 5.50/3.21 % (3456865)------------------------------
% 5.50/3.21 % (3456865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456865)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456865)Termination reason: Refutation not found, incomplete strategy
% 5.50/3.21 % (3456865)Time elapsed: 0.066 s
% 5.50/3.21 % (3456865)Peak memory usage: 107 MB
% 5.50/3.21 % (3456865)Instructions burned: 82 (million)
% 5.50/3.21 % (3456866)Instruction limit reached!
% 5.50/3.21 % (3456866)------------------------------
% 5.50/3.21 % (3456866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456866)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456866)Termination reason: Instruction limit
% 5.50/3.21 % (3456866)Termination phase: Property scanning
% 5.50/3.21 % (3456866)Time elapsed: 0.093 s
% 5.50/3.21 % (3456866)Peak memory usage: 105 MB
% 5.50/3.21 % (3456866)Instructions burned: 119 (million)
% 5.50/3.21 % (3456868)Instruction limit reached!
% 5.50/3.21 % (3456868)------------------------------
% 5.50/3.21 % (3456868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456868)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456868)Termination reason: Instruction limit
% 5.50/3.21 % (3456868)Termination phase: Preprocessing 1
% 5.50/3.21 % (3456868)Time elapsed: 0.093 s
% 5.50/3.21 % (3456868)Peak memory usage: 103 MB
% 5.50/3.21 % (3456868)Instructions burned: 129 (million)
% 5.50/3.21 % (3456876)lrs+10_1_sil=8000:sp=occurrence:random_seed=2111636341:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 5.50/3.21 % (3456878)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3919785573:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 5.50/3.21 % (3456877)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1367106437:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 5.50/3.21 % (3456865)------------------------------
% 5.50/3.21 % (3456865)------------------------------
% 5.50/3.21 % (3456877)Instruction limit reached!
% 5.50/3.21 % (3456877)------------------------------
% 5.50/3.21 % (3456877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456877)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456877)Termination reason: Instruction limit
% 5.50/3.21 % (3456877)Termination phase: Property scanning
% 5.50/3.21 % (3456877)Time elapsed: 0.068 s
% 5.50/3.21 % (3456877)Peak memory usage: 102 MB
% 5.50/3.21 % (3456877)Instructions burned: 159 (million)
% 5.50/3.21 % (3456876)Instruction limit reached!
% 5.50/3.21 % (3456876)------------------------------
% 5.50/3.21 % (3456876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456876)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456876)Termination reason: Instruction limit
% 5.50/3.21 % (3456876)Termination phase: Saturation
% 5.50/3.21 % (3456876)Time elapsed: 0.198 s
% 5.50/3.21 % (3456876)Peak memory usage: 110 MB
% 5.50/3.21 % (3456876)Instructions burned: 285 (million)
% 5.50/3.21 % (3456878)Instruction limit reached!
% 5.50/3.21 % (3456878)------------------------------
% 5.50/3.21 % (3456878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456878)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456878)Termination reason: Instruction limit
% 5.50/3.21 % (3456878)Termination phase: Saturation
% 5.50/3.21 % (3456878)Time elapsed: 0.190 s
% 5.50/3.21 % (3456878)Peak memory usage: 109 MB
% 5.50/3.21 % (3456878)Instructions burned: 327 (million)
% 5.50/3.21 % (3456882)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=3613503652:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 5.50/3.21 % (3456883)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3624999118:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 5.50/3.21 % (3456884)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=563789784:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 5.50/3.21 % (3456882)Instruction limit reached!
% 5.50/3.21 % (3456882)------------------------------
% 5.50/3.21 % (3456882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456882)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456882)Termination reason: Instruction limit
% 5.50/3.21 % (3456882)Termination phase: SInE selection
% 5.50/3.21 % (3456882)Time elapsed: 0.125 s
% 5.50/3.21 % (3456882)Peak memory usage: 103 MB
% 5.50/3.21 % (3456882)Instructions burned: 248 (million)
% 5.50/3.21 % (3456885)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3798018437:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 5.50/3.21 % (3456883)Instruction limit reached!
% 5.50/3.21 % (3456883)------------------------------
% 5.50/3.21 % (3456883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456883)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456883)Termination reason: Instruction limit
% 5.50/3.21 % (3456883)Termination phase: Saturation
% 5.50/3.21 % (3456883)Time elapsed: 0.187 s
% 5.50/3.21 % (3456883)Peak memory usage: 109 MB
% 5.50/3.21 % (3456883)Instructions burned: 294 (million)
% 5.50/3.21 % (3456885)Instruction limit reached!
% 5.50/3.21 % (3456885)------------------------------
% 5.50/3.21 % (3456885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456885)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456885)Termination reason: Instruction limit
% 5.50/3.21 % (3456885)Termination phase: Preprocessing 3
% 5.50/3.21 % (3456885)Time elapsed: 0.097 s
% 5.50/3.21 % (3456885)Peak memory usage: 105 MB
% 5.50/3.21 % (3456885)Instructions burned: 113 (million)
% 5.50/3.21 % (3456889)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2014796676:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 5.50/3.21 % (3456891)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3740948816:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 5.50/3.21 % (3456889)Instruction limit reached!
% 5.50/3.21 % (3456889)------------------------------
% 5.50/3.21 % (3456889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456889)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456889)Termination reason: Instruction limit
% 5.50/3.21 % (3456889)Termination phase: Preprocessing 2
% 5.50/3.21 % (3456889)Time elapsed: 0.102 s
% 5.50/3.21 % (3456889)Peak memory usage: 106 MB
% 5.50/3.21 % (3456889)Instructions burned: 127 (million)
% 5.50/3.21 % (3456891)Instruction limit reached!
% 5.50/3.21 % (3456891)------------------------------
% 5.50/3.21 % (3456891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/3.21 % (3456891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/3.21 % (3456891)CaDiCaL version: 2.1.3
% 5.50/3.21 % (3456891)Termination reason: Instruction limit
% 5.50/3.21 % (3456891)Termination phase: Property scanning
% 5.50/3.21 % (3456891)Time elapsed: 0.048 s
% 5.50/3.21 % (3456891)Peak memory usage: 102 MB
% 5.50/3.21 % (3456891)Instructions burned: 114 (million)
% 5.50/3.21 % (3456892)lrs+10_1_sil=8000:sp=occurrence:random_seed=2139573031:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 5.50/3.21 % (3456895)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3867799833:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 5.50/3.21 % (3456896)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2373129394:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 5.50/3.21 % (3456895)First to succeed.
% 5.50/3.21 % (3456895)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3456700"
% 5.50/3.21 % (3456895)Refutation found. Thanks to Tanya!
% 5.50/3.21 % SZS status Theorem for theBenchmark
% 5.50/3.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/3.41 % (3456895)------------------------------
% 0.25/3.41 % (3456895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/3.41 % (3456895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/3.41 % (3456895)CaDiCaL version: 2.1.3
% 0.25/3.41 % (3456895)Termination reason: Refutation
% 0.25/3.41 % (3456895)Time elapsed: 0.121 s
% 0.25/3.41 % (3456895)Peak memory usage: 110 MB
% 0.25/3.41 % (3456895)Instructions burned: 185 (million)
% 0.25/3.41 % (3456895)------------------------------
% 0.25/3.41 % (3456895)------------------------------
% 0.25/3.41 % (3456700)Success in time 2.263 s
% 0.25/3.41 % Vampire exiting
%------------------------------------------------------------------------------