TSTP Solution File: LAT302+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:17:32 EDT 2023
% Result : Theorem 7.49s 1.66s
% Output : CNFRefutation 7.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f437)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f15,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f20,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f22,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f23,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f26,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f27,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f44,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f48,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f49,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f60,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/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f78,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,X0)
& ~ v1_xboole_0(X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f79,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f84,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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(f85,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f88,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f89,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f91,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_lattice2) ).
fof(f107,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f108,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f128,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f129,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f130,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f129]) ).
fof(f133,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f134,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f137,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f138]) ).
fof(f157,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f158,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f160,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f159]) ).
fof(f173,plain,
! [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)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f174,plain,
! [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)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f173]) ).
fof(f182,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f183,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f182]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f184]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f189]) ).
fof(f191,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f192,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f191]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f88]) ).
fof(f197,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f198,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f197]) ).
fof(f200,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f201,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f200]) ).
fof(f204,plain,
! [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)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f205,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f174,f204]) ).
fof(f206,plain,
( ? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),sK1)
& v13_lattices(sK1)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),sK1)
& v13_lattices(sK1)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f108,f206]) ).
fof(f222,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f44,f222]) ).
fof(f230,plain,
! [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)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f204]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f185]) ).
fof(f265,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) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f190]) ).
fof(f266,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) )
& ( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f267,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f207]) ).
fof(f268,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f207]) ).
fof(f269,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f207]) ).
fof(f270,plain,
v13_lattices(sK1),
inference(cnf_transformation,[],[f207]) ).
fof(f271,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),sK1),
inference(cnf_transformation,[],[f207]) ).
fof(f297,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f298,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f300,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f301,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f303,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f304,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f305,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f306,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f326,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(cnf_transformation,[],[f223]) ).
fof(f330,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f332,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f361,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f362,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f417,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f419,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f426,plain,
! [X0,X1] :
( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f427,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f431,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f434,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_49,negated_conjecture,
~ m2_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),sK1),
inference(cnf_transformation,[],[f271]) ).
cnf(c_50,negated_conjecture,
v13_lattices(sK1),
inference(cnf_transformation,[],[f270]) ).
cnf(c_51,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f269]) ).
cnf(c_52,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f268]) ).
cnf(c_53,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f267]) ).
cnf(c_72,plain,
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_74,plain,
( ~ l1_lattices(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_76,plain,
( ~ l2_lattices(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_77,plain,
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_79,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_80,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_81,plain,
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f306]) ).
cnf(c_82,plain,
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_102,plain,
m1_subset_1(sK9(X0),X0),
inference(cnf_transformation,[],[f326]) ).
cnf(c_107,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_108,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_129,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_138,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_193,plain,
( ~ m1_subset_1(X0,X1)
| k6_domain_1(X1,X0) = k1_tarski(X0)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f417]) ).
cnf(c_194,plain,
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f419]) ).
cnf(c_199,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f437]) ).
cnf(c_201,plain,
( ~ m1_filter_2(X0,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_203,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_206,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f430]) ).
cnf(c_208,plain,
( ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v14_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f431]) ).
cnf(c_210,plain,
( ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k6_lattices(k1_lattice2(X0)) = k5_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_328,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
cnf(c_330,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_356,plain,
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
cnf(c_392,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_129]) ).
cnf(c_1589,plain,
( X0 != X1
| ~ l3_lattices(X0)
| l1_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_328,c_356]) ).
cnf(c_1590,plain,
( ~ l3_lattices(X0)
| l1_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_1589]) ).
cnf(c_1598,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_328,c_74]) ).
cnf(c_1599,plain,
( ~ l3_lattices(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_1598]) ).
cnf(c_1701,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_330,c_76]) ).
cnf(c_1702,plain,
( ~ l3_lattices(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_1701]) ).
cnf(c_2055,plain,
( X0 != sK1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k6_lattices(k1_lattice2(X0)) = k5_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_210]) ).
cnf(c_2056,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k6_lattices(k1_lattice2(sK1)) = k5_lattices(sK1)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_2055]) ).
cnf(c_2057,plain,
k6_lattices(k1_lattice2(sK1)) = k5_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_2056,c_52,c_51,c_53,c_2056]) ).
cnf(c_2062,plain,
( X0 != sK1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v14_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_208]) ).
cnf(c_2063,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v14_lattices(k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_2062]) ).
cnf(c_2064,plain,
v14_lattices(k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_2063,c_52,c_51,c_53,c_2063]) ).
cnf(c_2364,plain,
( X0 != X1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_138,c_392]) ).
cnf(c_2365,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2364]) ).
cnf(c_2497,plain,
( k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)) != X0
| X1 != sK1
| ~ m1_filter_2(X0,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_49,c_201]) ).
cnf(c_2498,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_2497]) ).
cnf(c_2499,plain,
~ m1_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_2498,c_52,c_51,c_53,c_2498]) ).
cnf(c_2631,plain,
( k6_domain_1(u1_struct_0(X0),k6_lattices(X0)) != X1
| X0 != X2
| ~ l3_lattices(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X0)
| ~ v10_lattices(X2)
| ~ v14_lattices(X0)
| m1_filter_2(X1,X2)
| v3_struct_0(X0)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_194,c_199]) ).
cnf(c_2632,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| m1_filter_2(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2631]) ).
cnf(c_2649,plain,
( k6_domain_1(u1_struct_0(X0),k6_lattices(X0)) != X1
| X0 != X2
| ~ l3_lattices(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X0)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(X1)
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_82,c_199]) ).
cnf(c_2650,plain,
( ~ v1_xboole_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2649]) ).
cnf(c_2667,plain,
( k6_domain_1(u1_struct_0(X0),k6_lattices(X0)) != X1
| X0 != X2
| ~ l3_lattices(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X0)
| ~ v10_lattices(X2)
| ~ v14_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X0)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_81,c_199]) ).
cnf(c_2668,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| m1_subset_1(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2667]) ).
cnf(c_2754,plain,
( k1_lattice2(sK1) != X0
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_subset_1(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_2668,c_2064]) ).
cnf(c_2755,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_subset_1(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_2754]) ).
cnf(c_2768,plain,
( k1_lattice2(sK1) != X0
| ~ v1_xboole_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_2650,c_2064]) ).
cnf(c_2769,plain,
( ~ v1_xboole_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_2768]) ).
cnf(c_2782,plain,
( k1_lattice2(sK1) != X0
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_filter_2(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_2632,c_2064]) ).
cnf(c_2783,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_2782]) ).
cnf(c_4964,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v10_lattices(k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_2365]) ).
cnf(c_5210,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v1_xboole_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_2769,c_52,c_51,c_53,c_2769,c_4964]) ).
cnf(c_5211,plain,
( ~ v1_xboole_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))))
| ~ l3_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(renaming,[status(thm)],[c_5210]) ).
cnf(c_5212,plain,
( ~ v1_xboole_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_2057,c_5211]) ).
cnf(c_5217,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_2783,c_52,c_51,c_53,c_2783,c_4964]) ).
cnf(c_5228,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_subset_1(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_2755,c_52,c_51,c_53,c_2755,c_4964]) ).
cnf(c_5230,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_subset_1(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_2057,c_5228]) ).
cnf(c_5371,plain,
( r2_hidden(sK9(X0),X0)
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_102,c_203]) ).
cnf(c_5560,plain,
( ~ r2_hidden(X0,k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_5228,c_206]) ).
cnf(c_5561,plain,
( ~ r2_hidden(X0,k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_5230,c_206]) ).
cnf(c_5755,plain,
( ~ l3_lattices(sK1)
| l3_lattices(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_5860,plain,
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| ~ r2_hidden(X0,k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_5561,c_51,c_5561,c_5755]) ).
cnf(c_5861,plain,
( ~ r2_hidden(X0,k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(renaming,[status(thm)],[c_5860]) ).
cnf(c_5863,plain,
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| v1_xboole_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_5371,c_5861]) ).
cnf(c_5898,plain,
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_5560,c_51,c_5212,c_5755,c_5863]) ).
cnf(c_8530,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_8714,plain,
( ~ l3_lattices(X0)
| k6_domain_1(u1_struct_0(X0),k5_lattices(X0)) = k1_tarski(k5_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_1599,c_193]) ).
cnf(c_14816,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_subset_1(k5_lattices(sK1),u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_2057,c_1702]) ).
cnf(c_15155,plain,
m1_subset_1(k5_lattices(sK1),u1_struct_0(k1_lattice2(sK1))),
inference(global_subsumption_just,[status(thm)],[c_14816,c_51,c_53,c_5755,c_8530,c_14816]) ).
cnf(c_15158,plain,
( k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1))
| v1_xboole_0(u1_struct_0(k1_lattice2(sK1))) ),
inference(superposition,[status(thm)],[c_15155,c_193]) ).
cnf(c_15177,plain,
m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k6_lattices(k1_lattice2(sK1))),k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_2783,c_51,c_53,c_5217,c_5755,c_8530]) ).
cnf(c_15179,plain,
m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1)),
inference(superposition,[status(thm)],[c_2057,c_15177]) ).
cnf(c_16285,plain,
( ~ l3_lattices(X0)
| k6_domain_1(u1_struct_0(X0),k5_lattices(X0)) = k1_tarski(k5_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_1599,c_193]) ).
cnf(c_16359,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_subset_1(k5_lattices(sK1),u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_2057,c_1702]) ).
cnf(c_16374,plain,
m1_subset_1(k5_lattices(sK1),u1_struct_0(k1_lattice2(sK1))),
inference(global_subsumption_just,[status(thm)],[c_16359,c_51,c_53,c_5755,c_8530,c_14816]) ).
cnf(c_16376,plain,
( k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1))
| v1_xboole_0(u1_struct_0(k1_lattice2(sK1))) ),
inference(superposition,[status(thm)],[c_16374,c_193]) ).
cnf(c_16383,plain,
k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1)),
inference(global_subsumption_just,[status(thm)],[c_16376,c_51,c_53,c_5898,c_8530,c_15158]) ).
cnf(c_16440,plain,
m1_filter_2(k1_tarski(k5_lattices(sK1)),k1_lattice2(sK1)),
inference(superposition,[status(thm)],[c_16383,c_15179]) ).
cnf(c_16669,plain,
( k6_domain_1(u1_struct_0(X0),k5_lattices(X0)) = k1_tarski(k5_lattices(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_16285,c_108,c_1590,c_8714]) ).
cnf(c_16670,plain,
( ~ l3_lattices(X0)
| k6_domain_1(u1_struct_0(X0),k5_lattices(X0)) = k1_tarski(k5_lattices(X0))
| v3_struct_0(X0) ),
inference(renaming,[status(thm)],[c_16669]) ).
cnf(c_16672,plain,
( k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_51,c_16670]) ).
cnf(c_16700,plain,
k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1)),
inference(global_subsumption_just,[status(thm)],[c_16672,c_53,c_16672]) ).
cnf(c_16703,plain,
~ m1_filter_2(k1_tarski(k5_lattices(sK1)),k1_lattice2(sK1)),
inference(superposition,[status(thm)],[c_16700,c_2499]) ).
cnf(c_16707,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16703,c_16440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 05:25:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.49/1.66 % SZS status Started for theBenchmark.p
% 7.49/1.66 % SZS status Theorem for theBenchmark.p
% 7.49/1.66
% 7.49/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.49/1.66
% 7.49/1.66 ------ iProver source info
% 7.49/1.66
% 7.49/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.49/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.49/1.66 git: non_committed_changes: false
% 7.49/1.66 git: last_make_outside_of_git: false
% 7.49/1.66
% 7.49/1.66 ------ Parsing...
% 7.49/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.49/1.66
% 7.49/1.66 ------ 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:16:0s pe_e
% 7.49/1.66
% 7.49/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.49/1.66
% 7.49/1.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.49/1.66 ------ Proving...
% 7.49/1.66 ------ Problem Properties
% 7.49/1.66
% 7.49/1.66
% 7.49/1.66 clauses 130
% 7.49/1.66 conjectures 3
% 7.49/1.66 EPR 36
% 7.49/1.66 Horn 102
% 7.49/1.66 unary 59
% 7.49/1.66 binary 30
% 7.49/1.66 lits 298
% 7.49/1.66 lits eq 22
% 7.49/1.66 fd_pure 0
% 7.49/1.66 fd_pseudo 0
% 7.49/1.66 fd_cond 1
% 7.49/1.66 fd_pseudo_cond 4
% 7.49/1.66 AC symbols 0
% 7.49/1.66
% 7.49/1.66 ------ Input Options Time Limit: Unbounded
% 7.49/1.66
% 7.49/1.66
% 7.49/1.66 ------
% 7.49/1.66 Current options:
% 7.49/1.66 ------
% 7.49/1.66
% 7.49/1.66
% 7.49/1.66
% 7.49/1.66
% 7.49/1.66 ------ Proving...
% 7.49/1.66
% 7.49/1.66
% 7.49/1.66 % SZS status Theorem for theBenchmark.p
% 7.49/1.66
% 7.49/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.49/1.66
% 7.49/1.67
%------------------------------------------------------------------------------