%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT319+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 : Fri Sep 25 01:59:16 PM UTC 2026
% Result : Theorem 0.40s 6.18s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f444ERROR: Could not build tree for root c_4874ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
<=> ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f39,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f49,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f73,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(f75,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
fof(f93,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<~> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f94,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<~> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f93]) ).
fof(f110,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f111,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f113,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f112]) ).
fof(f116,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
<=> ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f117,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
<=> ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) ) ),
inference(flattening,[],[f116]) ).
fof(f121,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f128,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f129,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f128]) ).
fof(f144,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f145,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f144]) ).
fof(f157,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f158,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f157]) ).
fof(f160,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f161,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f160]) ).
fof(f170,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f171,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
( l3_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3)
& ( ( l3_lattices(sK3)
& v17_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3) )
| ( l3_lattices(k1_lattice2(sK3))
& v17_lattices(k1_lattice2(sK3))
& v10_lattices(k1_lattice2(sK3))
& ~ v3_struct_0(k1_lattice2(sK3)) ) )
& ( ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| ~ v10_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f171]) ).
fof(f173,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v17_lattices(X0)
| ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) )
& ( ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| v17_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f174,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v17_lattices(X0)
| ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) )
& ( ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| v17_lattices(X0) ) ) ),
inference(flattening,[],[f173]) ).
fof(f200,plain,
! [X0] :
( ~ sP2(X0)
| ( ( ~ sP1(X0)
| ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP1(X0) ) ) ),
inference(nnf_transformation,[],[f168]) ).
fof(f201,plain,
! [X0] :
( ~ sP2(X0)
| ( ( ~ sP1(X0)
| ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP1(X0) ) ) ),
inference(flattening,[],[f200]) ).
fof(f204,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f205,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f172]) ).
fof(f207,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f172]) ).
fof(f208,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f172]) ).
fof(f214,plain,
( v17_lattices(sK3)
| v17_lattices(k1_lattice2(sK3)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f225,plain,
( ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| ~ v10_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f246,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f247,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f250,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f252,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f262,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f264,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f269,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f290,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f318,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f417,plain,
! [X0] :
( ~ sP2(X0)
| ~ sP1(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f418,plain,
! [X0] :
( ~ sP2(X0)
| ~ sP1(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f419,plain,
! [X0] :
( ~ sP2(X0)
| ~ sP1(X0)
| v15_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f421,plain,
! [X0] :
( ~ sP2(X0)
| ~ sP1(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f422,plain,
! [X0] :
( ~ sP2(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f429,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f436,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_49,negated_conjecture,
( v3_struct_0(sK3)
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| ~ v10_lattices(k1_lattice2(sK3)) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_60,negated_conjecture,
( v17_lattices(sK3)
| v17_lattices(k1_lattice2(sK3)) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_66,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f208]) ).
tcf(c_67,negated_conjecture,
v10_lattices(sK3),
inference(cnf_transformation,[],[f207]) ).
tcf(c_68,negated_conjecture,
l3_lattices(sK3),
inference(cnf_transformation,[],[f206]) ).
tcf(c_83,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_86,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_87,plain,
! [X0: $i] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_88,plain,
! [X0: $i] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_96,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_98,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_103,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_122,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_151,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_250,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ sP2(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_251,plain,
! [X0: $i] :
( ~ sP2(X0)
| ~ sP1(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_253,plain,
! [X0: $i] :
( v15_lattices(k1_lattice2(X0))
| ~ sP2(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_254,plain,
! [X0: $i] :
( v16_lattices(k1_lattice2(X0))
| ~ sP2(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_255,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ sP2(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_262,plain,
! [X0: $i] :
( sP2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_264,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_266,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_267,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v11_lattices(k1_lattice2(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_297,plain,
( l3_lattices(k1_lattice2(sK3))
| ~ l3_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_316,plain,
( v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v3_struct_0(k1_lattice2(sK3)) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_321,plain,
( sP0(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_322,plain,
( v11_lattices(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_324,plain,
( v15_lattices(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_353,plain,
( v3_struct_0(sK3)
| v11_lattices(k1_lattice2(sK3))
| ~ v11_lattices(sK3)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_457,plain,
( v17_lattices(k1_lattice2(sK3))
| v17_lattices(sK3) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
tcf(c_458,plain,
( v17_lattices(sK3)
| v17_lattices(k1_lattice2(sK3)) ),
inference(renaming,[status(thm)],[c_457]) ).
tcf(c_2261,plain,
! [X0: $i,X1: $i] :
( sP1(X1)
| v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_262,c_250]) ).
tcf(c_2262,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_2261]) ).
fof(f165,definition,
! [X0] :
( ~ sP0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f166,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(definition_folding,[],[f145,f165]) ).
fof(f167,definition,
! [X0] :
( sP1(X0)
<=> ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f168,definition,
! [X0] :
( ~ sP2(X0)
| ( sP1(X0)
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f169,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X0) ),
inference(definition_folding,[],[f158,f168,f167]) ).
fof(f182,plain,
! [X0] :
( ~ sP0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f202,plain,
! [X0] :
( ( ~ sP1(X0)
| ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f203,plain,
! [X0] :
( ( ~ sP1(X0)
| ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ) ),
inference(flattening,[],[f202]) ).
fof(f309,plain,
! [X0] :
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f423,plain,
! [X0] :
( ~ sP1(X0)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f424,plain,
! [X0] :
( ~ sP1(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f425,plain,
! [X0] :
( ~ sP1(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f426,plain,
! [X0] :
( ~ sP1(X0)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f427,plain,
! [X0] :
( ~ sP1(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f428,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_150,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_256,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_257,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_258,plain,
! [X0: $i] :
( v10_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_259,plain,
! [X0: $i] :
( v15_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_260,plain,
! [X0: $i] :
( v16_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_261,plain,
! [X0: $i] :
( l3_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_285,plain,
( v10_lattices(k1_lattice2(sK3))
| ~ sP0(sK3) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_402,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_255,c_261,c_103]) ).
tcf(c_404,plain,
! [X0: $i] :
( v16_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_254,c_261,c_258,c_257,c_254,c_262]) ).
tcf(c_407,plain,
! [X0: $i] :
( v15_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_253,c_261,c_258,c_257,c_253,c_262]) ).
tcf(c_412,plain,
! [X0: $i] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_251,c_261,c_257,c_122]) ).
tcf(c_413,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_412]) ).
tcf(c_436,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_266,c_150,c_151]) ).
tcf(c_437,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_436]) ).
tcf(c_448,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_264,c_103,c_122,c_264,c_437]) ).
tcf(c_449,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_448]) ).
tcf(c_450,plain,
( v11_lattices(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ v11_lattices(k1_lattice2(sK3)) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_451,plain,
( ~ v17_lattices(k1_lattice2(sK3))
| ~ v17_lattices(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_68,c_67,c_66,c_285,c_297,c_316,c_321,c_49]) ).
tcf(c_452,negated_conjecture,
( ~ v17_lattices(sK3)
| ~ v17_lattices(k1_lattice2(sK3)) ),
inference(renaming,[status(thm)],[c_451]) ).
tcf(c_455,plain,
( ~ v17_lattices(k1_lattice2(sK3))
| ~ v17_lattices(sK3) ),
inference(prop_impl_just,[status(thm)],[c_452]) ).
tcf(c_456,plain,
( ~ v17_lattices(sK3)
| ~ v17_lattices(k1_lattice2(sK3)) ),
inference(renaming,[status(thm)],[c_455]) ).
tcf(c_501,plain,
! [X0: $i] :
( ~ sP1(X0)
| v16_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_260]) ).
tcf(c_502,plain,
! [X0: $i] :
( v16_lattices(X0)
| ~ sP1(X0) ),
inference(renaming,[status(thm)],[c_501]) ).
tcf(c_579,plain,
! [X0: $i] :
( v16_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_404]) ).
tcf(c_2264,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2262,c_103,c_122,c_262,c_250,c_437]) ).
tcf(c_2265,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_2264]) ).
tcf(c_3059,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ sP1(X0)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_502,c_88]) ).
tcf(c_3060,plain,
! [X0: $i] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3059]) ).
tcf(c_3062,plain,
! [X0: $i] :
( v17_lattices(X0)
| ~ v11_lattices(X0)
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3060,c_261,c_259,c_257,c_3060]) ).
tcf(c_3063,plain,
! [X0: $i] :
( v17_lattices(X0)
| ~ sP1(X0)
| ~ v11_lattices(X0) ),
inference(renaming,[status(thm)],[c_3062]) ).
tcf(c_3064,plain,
( v17_lattices(sK3)
| ~ sP1(sK3)
| ~ v11_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_3063]) ).
tcf(c_3074,plain,
! [X0: $i,X1: $i] :
( sP1(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X1)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_87,c_256]) ).
tcf(c_3075,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3074]) ).
tcf(c_3076,plain,
( sP1(sK3)
| v3_struct_0(sK3)
| ~ v15_lattices(sK3)
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_3075]) ).
tcf(c_3203,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ sP1(X0)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ( k1_lattice2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_579]) ).
tcf(c_3204,plain,
! [X0: $i] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_3203]) ).
tcf(c_3206,plain,
! [X0: $i] :
( v17_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3204,c_402,c_407,c_413,c_3204]) ).
tcf(c_3207,plain,
! [X0: $i] :
( v17_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| ~ v11_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_3206]) ).
tcf(c_3208,plain,
( v17_lattices(k1_lattice2(sK3))
| ~ sP1(sK3)
| ~ v11_lattices(k1_lattice2(sK3)) ),
inference(instantiation,[status(thm)],[c_3207]) ).
tcf(c_3433,plain,
! [X0: $i,X1: $i] :
( sP1(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X1)
| ~ v10_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ( k1_lattice2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_86,c_2265]) ).
tcf(c_3434,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_3433]) ).
tcf(c_3436,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v17_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3434,c_103,c_122,c_3434]) ).
tcf(c_3437,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_3436]) ).
tcf(c_3438,plain,
( sP1(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ v16_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3)) ),
inference(instantiation,[status(thm)],[c_3437]) ).
tcf(c_3798,plain,
~ v17_lattices(sK3),
inference(global_subsumption_just,[status(thm)],[c_456,c_68,c_67,c_66,c_322,c_324,c_353,c_452,c_3076,c_3208]) ).
tcf(c_3800,plain,
v17_lattices(k1_lattice2(sK3)),
inference(global_subsumption_just,[status(thm)],[c_458,c_60,c_3798]) ).
tcf(c_4858,plain,
! [X0: $i] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattice2(sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_3800,c_87]) ).
tcf(c_4859,plain,
( v16_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(k1_lattice2(sK3)) ),
inference(unflattening,[status(thm)],[c_4858]) ).
tcf(c_4872,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattice2(sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_3800,c_83]) ).
tcf(c_4873,plain,
( v11_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(k1_lattice2(sK3)) ),
inference(unflattening,[status(thm)],[c_4872]) ).
tcf(c_4874,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4873,c_4859,c_3798,c_3438,c_3064,c_450,c_316,c_297,c_60,c_66,c_67,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT319+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n006.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 21:03:46 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 0.40/6.18 % SZS status Started for theBenchmark.p
% 0.40/6.18 % SZS status Theorem for theBenchmark.p
% 0.40/6.18
% 0.40/6.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.40/6.18
% 0.40/6.18 % ------ iProver source info
% 0.40/6.18
% 0.40/6.18 % git: date: 2026-07-19 20:42:38 +0200
% 0.40/6.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.40/6.18 % git: non_committed_changes: false
% 0.40/6.18
% 0.40/6.18 % ------ Parsing...
% 0.40/6.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.40/6.18
% 0.40/6.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 14 0s sf_e pe_s %
% 0.40/6.18
% 0.40/6.18 % SZS status Theorem for theBenchmark.p
% 0.40/6.18
% 0.40/6.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.40/6.19
% 0.40/6.19
%------------------------------------------------------------------------------