TSTP Solution File: LAT317+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT317+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 06:17:42 EDT 2023
% Result : Theorem 186.74s 25.43s
% Output : CNFRefutation 186.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 180 ( 27 unt; 0 def)
% Number of atoms : 852 ( 128 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1123 ( 451 ~; 513 |; 126 &)
% ( 3 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 246 ( 0 sgn; 121 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( r1_tarski(X2,k20_filter_2(X0,X1,X2))
& r1_tarski(X1,k20_filter_2(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( r1_tarski(X2,k20_filter_2(X0,X1,X2))
& r1_tarski(X1,k20_filter_2(X0,X1,X2)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f20,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f24,axiom,
! [X0,X1] :
( ( m2_filter_2(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f27,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(f41,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(f51,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f52,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f69,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k7_filter_2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_filter_2) ).
fof(f85,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(f104,axiom,
! [X0,X1] :
( ( m2_filter_2(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f108,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/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f115,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
& ~ v1_xboole_0(X3) )
=> ! [X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
& ~ v1_xboole_0(X4) )
=> ( k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k5_filter_0(X0,X1,X2) = k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_filter_2) ).
fof(f116,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r1_tarski(X2,k5_filter_0(X0,X1,X2))
& r1_tarski(X1,k5_filter_0(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_filter_0) ).
fof(f134,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X2,k20_filter_2(X0,X1,X2))
| ~ r1_tarski(X1,k20_filter_2(X0,X1,X2)) )
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f135,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X2,k20_filter_2(X0,X1,X2))
| ~ r1_tarski(X1,k20_filter_2(X0,X1,X2)) )
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f134]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f161]) ).
fof(f169,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f170,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f186,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f187,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f186]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f197]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f199]) ).
fof(f214,plain,
! [X0,X1] :
( ~ v1_xboole_0(k7_filter_2(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f215,plain,
! [X0,X1] :
( ~ v1_xboole_0(k7_filter_2(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f214]) ).
fof(f236,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,[],[f85]) ).
fof(f237,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,[],[f236]) ).
fof(f249,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f250,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f249]) ).
fof(f257,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,[],[f108]) ).
fof(f258,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,[],[f257]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k5_filter_0(X0,X1,X2) = k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X4) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X3) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k5_filter_0(X0,X1,X2) = k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X4) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X3) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f263]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(X2,k5_filter_0(X0,X1,X2))
& r1_tarski(X1,k5_filter_0(X0,X1,X2)) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(X2,k5_filter_0(X0,X1,X2))
& r1_tarski(X1,k5_filter_0(X0,X1,X2)) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f265]) ).
fof(f273,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(f274,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f237,f273]) ).
fof(f275,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X2,k20_filter_2(X0,X1,X2))
| ~ r1_tarski(X1,k20_filter_2(X0,X1,X2)) )
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X2,k20_filter_2(sK1,X1,X2))
| ~ r1_tarski(X1,k20_filter_2(sK1,X1,X2)) )
& m2_filter_2(X2,sK1) )
& m2_filter_2(X1,sK1) )
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X2,k20_filter_2(sK1,X1,X2))
| ~ r1_tarski(X1,k20_filter_2(sK1,X1,X2)) )
& m2_filter_2(X2,sK1) )
& m2_filter_2(X1,sK1) )
=> ( ? [X2] :
( ( ~ r1_tarski(X2,k20_filter_2(sK1,sK2,X2))
| ~ r1_tarski(sK2,k20_filter_2(sK1,sK2,X2)) )
& m2_filter_2(X2,sK1) )
& m2_filter_2(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
( ? [X2] :
( ( ~ r1_tarski(X2,k20_filter_2(sK1,sK2,X2))
| ~ r1_tarski(sK2,k20_filter_2(sK1,sK2,X2)) )
& m2_filter_2(X2,sK1) )
=> ( ( ~ r1_tarski(sK3,k20_filter_2(sK1,sK2,sK3))
| ~ r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) )
& m2_filter_2(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
( ( ~ r1_tarski(sK3,k20_filter_2(sK1,sK2,sK3))
| ~ r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) )
& m2_filter_2(sK3,sK1)
& m2_filter_2(sK2,sK1)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f135,f277,f276,f275]) ).
fof(f301,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,[],[f273]) ).
fof(f340,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,[],[f258]) ).
fof(f346,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f278]) ).
fof(f347,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f278]) ).
fof(f348,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f278]) ).
fof(f349,plain,
m2_filter_2(sK2,sK1),
inference(cnf_transformation,[],[f278]) ).
fof(f350,plain,
m2_filter_2(sK3,sK1),
inference(cnf_transformation,[],[f278]) ).
fof(f351,plain,
( ~ r1_tarski(sK3,k20_filter_2(sK1,sK2,sK3))
| ~ r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) ),
inference(cnf_transformation,[],[f278]) ).
fof(f377,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f382,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f384,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f392,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f402,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f403,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f404,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f424,plain,
! [X0,X1] :
( ~ v1_xboole_0(k7_filter_2(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f451,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f459,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f460,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f514,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f518,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f529,plain,
! [X2,X3,X0,X1,X4] :
( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f533,plain,
! [X2,X0,X1] :
( r1_tarski(X1,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f534,plain,
! [X2,X0,X1] :
( r1_tarski(X2,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_49,negated_conjecture,
( ~ r1_tarski(sK3,k20_filter_2(sK1,sK2,sK3))
| ~ r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_50,negated_conjecture,
m2_filter_2(sK3,sK1),
inference(cnf_transformation,[],[f350]) ).
cnf(c_51,negated_conjecture,
m2_filter_2(sK2,sK1),
inference(cnf_transformation,[],[f349]) ).
cnf(c_52,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f348]) ).
cnf(c_53,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f347]) ).
cnf(c_54,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f346]) ).
cnf(c_75,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_80,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k15_filter_2(X1,X0),k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_81,plain,
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_90,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k7_filter_2(X1,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_100,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_101,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_102,plain,
( ~ m2_lattice4(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,[],[f404]) ).
cnf(c_122,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(k7_filter_2(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_149,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_157,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_158,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f460]) ).
cnf(c_212,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = k15_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f514]) ).
cnf(c_217,plain,
( ~ m1_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f518]) ).
cnf(c_230,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X3),k7_filter_2(X1,X4)) = k20_filter_2(X1,X3,X4)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X4) ),
inference(cnf_transformation,[],[f529]) ).
cnf(c_231,plain,
( ~ m1_filter_0(X0,X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_tarski(X2,k5_filter_0(X1,X0,X2))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f534]) ).
cnf(c_232,plain,
( ~ m1_filter_0(X0,X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_tarski(X0,k5_filter_0(X1,X0,X2))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f533]) ).
cnf(c_3827,plain,
( X0 != X1
| X2 != X3
| ~ m2_filter_2(X0,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X2)
| v3_struct_0(X3) ),
inference(resolution_lifted,[status(thm)],[c_100,c_102]) ).
cnf(c_3828,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_3827]) ).
cnf(c_4213,plain,
( X0 != sK3
| X1 != sK1
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_3828]) ).
cnf(c_4214,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4213]) ).
cnf(c_4215,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(global_subsumption_just,[status(thm)],[c_4214,c_53,c_52,c_54,c_4214]) ).
cnf(c_4220,plain,
( X0 != sK3
| X1 != sK1
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = k15_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_212]) ).
cnf(c_4221,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,sK3) = k15_filter_2(sK1,sK3)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4220]) ).
cnf(c_4222,plain,
k7_filter_2(sK1,sK3) = k15_filter_2(sK1,sK3),
inference(global_subsumption_just,[status(thm)],[c_4221,c_53,c_52,c_54,c_4221]) ).
cnf(c_4227,plain,
( X0 != sK3
| X1 != sK1
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_101]) ).
cnf(c_4228,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ v1_xboole_0(sK3)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4227]) ).
cnf(c_4229,plain,
~ v1_xboole_0(sK3),
inference(global_subsumption_just,[status(thm)],[c_4228,c_53,c_52,c_54,c_4228]) ).
cnf(c_4234,plain,
( X0 != sK3
| X1 != sK1
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k15_filter_2(X1,X0),k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_80]) ).
cnf(c_4235,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_filter_2(k15_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4234]) ).
cnf(c_4236,plain,
m1_filter_2(k15_filter_2(sK1,sK3),k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_4235,c_53,c_52,c_54,c_4235]) ).
cnf(c_4241,plain,
( X0 != sK1
| X1 != sK2
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_3828]) ).
cnf(c_4242,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4241]) ).
cnf(c_4243,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(global_subsumption_just,[status(thm)],[c_4242,c_53,c_52,c_54,c_4242]) ).
cnf(c_4248,plain,
( X0 != sK1
| X1 != sK2
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_212]) ).
cnf(c_4249,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4248]) ).
cnf(c_4250,plain,
k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_4249,c_53,c_52,c_54,c_4249]) ).
cnf(c_4255,plain,
( X0 != sK1
| X1 != sK2
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_101]) ).
cnf(c_4256,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ v1_xboole_0(sK2)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4255]) ).
cnf(c_4257,plain,
~ v1_xboole_0(sK2),
inference(global_subsumption_just,[status(thm)],[c_4256,c_53,c_52,c_54,c_4256]) ).
cnf(c_4262,plain,
( X0 != sK1
| X1 != sK2
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_80]) ).
cnf(c_4263,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_filter_2(k15_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4262]) ).
cnf(c_4264,plain,
m1_filter_2(k15_filter_2(sK1,sK2),k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_4263,c_53,c_52,c_54,c_4263]) ).
cnf(c_5643,plain,
( k15_filter_2(sK1,sK3) != X0
| k1_lattice2(sK1) != X1
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_217,c_4236]) ).
cnf(c_5644,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_filter_0(k15_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_5643]) ).
cnf(c_5685,plain,
( k15_filter_2(sK1,sK2) != X0
| k1_lattice2(sK1) != X1
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_217,c_4264]) ).
cnf(c_5686,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_filter_0(k15_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_5685]) ).
cnf(c_5913,plain,
( X0 != sK1
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_158]) ).
cnf(c_5914,plain,
( ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| sP0(sK1) ),
inference(unflattening,[status(thm)],[c_5913]) ).
cnf(c_11523,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_5686,c_4250]) ).
cnf(c_11532,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_5644,c_4222]) ).
cnf(c_17424,plain,
X0 = X0,
theory(equality) ).
cnf(c_17426,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_17428,plain,
( X0 != X1
| X2 != X3
| ~ r1_tarski(X1,X3)
| r1_tarski(X0,X2) ),
theory(equality) ).
cnf(c_21377,plain,
( ~ sP0(sK1)
| v10_lattices(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_21398,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,sK2) = sK2
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_21435,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(k7_filter_2(sK1,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_21436,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(k7_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_21598,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_11523,c_52,c_54,c_5914,c_11523,c_21377]) ).
cnf(c_21630,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_11532,c_52,c_54,c_5914,c_11532,c_21377]) ).
cnf(c_22222,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_17424]) ).
cnf(c_22299,plain,
( ~ m1_subset_1(k7_filter_2(sK1,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,X1),k7_filter_2(sK1,X2)) = k20_filter_2(sK1,X1,X2)
| v1_xboole_0(k7_filter_2(sK1,sK3))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_230]) ).
cnf(c_22623,plain,
( ~ l3_lattices(sK1)
| l3_lattices(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_23379,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,sK3) = sK3
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_4215,c_75]) ).
cnf(c_23385,plain,
k7_filter_2(sK1,sK3) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_23379,c_54,c_53,c_52]) ).
cnf(c_23461,plain,
k15_filter_2(sK1,sK3) = sK3,
inference(demodulation,[status(thm)],[c_4222,c_23385]) ).
cnf(c_23486,plain,
( ~ v1_xboole_0(k7_filter_2(sK1,sK3))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| v1_xboole_0(sK3) ),
inference(superposition,[status(thm)],[c_4215,c_122]) ).
cnf(c_23487,plain,
( ~ v1_xboole_0(k7_filter_2(sK1,sK2))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| v1_xboole_0(sK2) ),
inference(superposition,[status(thm)],[c_4243,c_122]) ).
cnf(c_23490,plain,
~ v1_xboole_0(k7_filter_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_23487,c_4257,c_54,c_53,c_52]) ).
cnf(c_23491,plain,
~ v1_xboole_0(k7_filter_2(sK1,sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_23486,c_4229,c_54,c_53,c_52]) ).
cnf(c_30770,plain,
k20_filter_2(sK1,sK2,sK3) = k20_filter_2(sK1,sK2,sK3),
inference(instantiation,[status(thm)],[c_17424]) ).
cnf(c_30772,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| X1 != X0
| k20_filter_2(sK1,sK2,sK3) = X1 ),
inference(instantiation,[status(thm)],[c_17426]) ).
cnf(c_31304,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ sP0(sK1) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_35301,plain,
( ~ m1_subset_1(k7_filter_2(sK1,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,X1),k7_filter_2(sK1,sK3)) = k20_filter_2(sK1,X1,sK3)
| v1_xboole_0(k7_filter_2(sK1,sK3))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| v3_struct_0(sK1)
| v1_xboole_0(sK3) ),
inference(instantiation,[status(thm)],[c_22299]) ).
cnf(c_40191,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| X1 != X2
| ~ r1_tarski(X2,X0)
| r1_tarski(X1,k20_filter_2(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_17428]) ).
cnf(c_41192,plain,
( ~ m1_subset_1(k7_filter_2(sK1,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(k7_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,X0),k7_filter_2(sK1,sK3)) = k20_filter_2(sK1,X0,sK3)
| v1_xboole_0(k7_filter_2(sK1,sK3))
| v1_xboole_0(k7_filter_2(sK1,sK2))
| v1_xboole_0(X0)
| v3_struct_0(sK1)
| v1_xboole_0(sK3) ),
inference(instantiation,[status(thm)],[c_35301]) ).
cnf(c_52789,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| sK3 != X1
| ~ r1_tarski(X1,X0)
| r1_tarski(sK3,k20_filter_2(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_40191]) ).
cnf(c_60170,plain,
( ~ m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(k7_filter_2(sK1,sK3),k5_filter_0(k1_lattice2(sK1),X0,k7_filter_2(sK1,sK3)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_231]) ).
cnf(c_62464,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_17424]) ).
cnf(c_67917,plain,
( k20_filter_2(sK1,sK2,sK3) != k20_filter_2(sK1,sK2,sK3)
| X0 != k20_filter_2(sK1,sK2,sK3)
| k20_filter_2(sK1,sK2,sK3) = X0 ),
inference(instantiation,[status(thm)],[c_30772]) ).
cnf(c_89027,plain,
( ~ m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(k7_filter_2(sK1,sK3),k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_60170]) ).
cnf(c_89891,plain,
( k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3)) != k20_filter_2(sK1,sK2,sK3)
| k20_filter_2(sK1,sK2,sK3) != k20_filter_2(sK1,sK2,sK3)
| k20_filter_2(sK1,sK2,sK3) = k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3)) ),
inference(instantiation,[status(thm)],[c_67917]) ).
cnf(c_90014,plain,
( ~ m1_subset_1(k7_filter_2(sK1,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(k7_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3)) = k20_filter_2(sK1,sK2,sK3)
| v1_xboole_0(k7_filter_2(sK1,sK3))
| v1_xboole_0(k7_filter_2(sK1,sK2))
| v3_struct_0(sK1)
| v1_xboole_0(sK3)
| v1_xboole_0(sK2) ),
inference(instantiation,[status(thm)],[c_41192]) ).
cnf(c_116392,plain,
( X0 != X1
| sK3 != X1
| sK3 = X0 ),
inference(instantiation,[status(thm)],[c_17426]) ).
cnf(c_117471,plain,
( X0 != sK3
| sK3 != sK3
| sK3 = X0 ),
inference(instantiation,[status(thm)],[c_116392]) ).
cnf(c_117523,plain,
( k7_filter_2(sK1,sK3) != X0
| X1 != X0
| X1 = k7_filter_2(sK1,sK3) ),
inference(instantiation,[status(thm)],[c_17426]) ).
cnf(c_124565,plain,
( k7_filter_2(sK1,sK3) != k15_filter_2(sK1,sK3)
| X0 != k15_filter_2(sK1,sK3)
| X0 = k7_filter_2(sK1,sK3) ),
inference(instantiation,[status(thm)],[c_117523]) ).
cnf(c_177171,plain,
( k15_filter_2(sK1,sK3) != sK3
| sK3 != sK3
| sK3 = k15_filter_2(sK1,sK3) ),
inference(instantiation,[status(thm)],[c_117471]) ).
cnf(c_177172,plain,
( k7_filter_2(sK1,sK3) != k15_filter_2(sK1,sK3)
| sK3 != k15_filter_2(sK1,sK3)
| sK3 = k7_filter_2(sK1,sK3) ),
inference(instantiation,[status(thm)],[c_124565]) ).
cnf(c_217489,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| sK2 != X1
| ~ r1_tarski(X1,X0)
| r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_17428]) ).
cnf(c_217767,plain,
( k7_filter_2(sK1,sK2) != X0
| X1 != X0
| X1 = k7_filter_2(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_17426]) ).
cnf(c_218326,plain,
( k7_filter_2(sK1,sK2) != sK2
| X0 != sK2
| X0 = k7_filter_2(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_217767]) ).
cnf(c_220939,plain,
( k7_filter_2(sK1,sK2) != sK2
| sK2 != sK2
| sK2 = k7_filter_2(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_218326]) ).
cnf(c_226402,plain,
( ~ m1_filter_0(k7_filter_2(sK1,sK2),X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r1_tarski(k7_filter_2(sK1,sK2),k5_filter_0(X0,k7_filter_2(sK1,sK2),X1))
| v3_struct_0(X0) ),
inference(instantiation,[status(thm)],[c_232]) ).
cnf(c_227571,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| sK2 != k7_filter_2(X1,sK2)
| ~ r1_tarski(k7_filter_2(X1,sK2),X0)
| r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_217489]) ).
cnf(c_230437,plain,
( k20_filter_2(sK1,sK2,sK3) != k5_filter_0(X0,k7_filter_2(X1,sK2),X2)
| sK2 != k7_filter_2(X1,sK2)
| ~ r1_tarski(k7_filter_2(X1,sK2),k5_filter_0(X0,k7_filter_2(X1,sK2),X2))
| r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_227571]) ).
cnf(c_232014,plain,
( ~ m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(k7_filter_2(sK1,sK2),k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),X0))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_226402]) ).
cnf(c_235564,plain,
( ~ m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(k7_filter_2(sK1,sK2),k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_232014]) ).
cnf(c_238664,plain,
( k20_filter_2(sK1,sK2,sK3) != k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3))
| sK2 != k7_filter_2(sK1,sK2)
| ~ r1_tarski(k7_filter_2(sK1,sK2),k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3)))
| r1_tarski(sK2,k20_filter_2(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_230437]) ).
cnf(c_425851,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| sK3 != X1
| ~ r1_tarski(X1,X0)
| r1_tarski(sK3,k20_filter_2(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_17428]) ).
cnf(c_425989,plain,
( ~ r1_tarski(X1,X0)
| sK3 != X1
| k20_filter_2(sK1,sK2,sK3) != X0 ),
inference(global_subsumption_just,[status(thm)],[c_425851,c_53,c_52,c_54,c_49,c_4214,c_4228,c_4242,c_4256,c_5914,c_21377,c_21398,c_21435,c_21436,c_21598,c_21630,c_22222,c_22623,c_23491,c_23490,c_30770,c_31304,c_52789,c_89891,c_90014,c_220939,c_235564,c_238664]) ).
cnf(c_425990,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| sK3 != X1
| ~ r1_tarski(X1,X0) ),
inference(renaming,[status(thm)],[c_425989]) ).
cnf(c_432131,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| sK3 != k7_filter_2(sK1,sK3)
| ~ r1_tarski(k7_filter_2(sK1,sK3),X0) ),
inference(instantiation,[status(thm)],[c_425990]) ).
cnf(c_435030,plain,
( k20_filter_2(sK1,sK2,sK3) != X0
| ~ r1_tarski(k7_filter_2(sK1,sK3),X0) ),
inference(global_subsumption_just,[status(thm)],[c_432131,c_53,c_52,c_54,c_4221,c_23461,c_62464,c_177171,c_177172,c_432131]) ).
cnf(c_446306,plain,
( k20_filter_2(sK1,sK2,sK3) != k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3))
| ~ r1_tarski(k7_filter_2(sK1,sK3),k5_filter_0(k1_lattice2(sK1),k7_filter_2(sK1,sK2),k7_filter_2(sK1,sK3))) ),
inference(instantiation,[status(thm)],[c_435030]) ).
cnf(c_446308,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_446306,c_90014,c_89891,c_89027,c_31304,c_30770,c_23490,c_23491,c_22623,c_21630,c_21598,c_21436,c_21435,c_21377,c_5914,c_4256,c_4242,c_4228,c_4214,c_54,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT317+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.19/0.37 % Computer : n010.cluster.edu
% 0.19/0.37 % Model : x86_64 x86_64
% 0.19/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37 % Memory : 8042.1875MB
% 0.19/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37 % CPULimit : 300
% 0.19/0.37 % WCLimit : 300
% 0.19/0.37 % DateTime : Thu Aug 24 09:19:06 EDT 2023
% 0.19/0.37 % CPUTime :
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 186.74/25.43 % SZS status Started for theBenchmark.p
% 186.74/25.43 % SZS status Theorem for theBenchmark.p
% 186.74/25.43
% 186.74/25.43 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 186.74/25.43
% 186.74/25.43 ------ iProver source info
% 186.74/25.43
% 186.74/25.43 git: date: 2023-05-31 18:12:56 +0000
% 186.74/25.43 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 186.74/25.43 git: non_committed_changes: false
% 186.74/25.43 git: last_make_outside_of_git: false
% 186.74/25.43
% 186.74/25.43 ------ Parsing...
% 186.74/25.43 ------ Clausification by vclausify_rel & Parsing by iProver...
% 186.74/25.43
% 186.74/25.43 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 6 sf_s rm: 10 0s sf_e pe_s pe_e
% 186.74/25.43
% 186.74/25.43 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 186.74/25.43
% 186.74/25.43 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 186.74/25.43 ------ Proving...
% 186.74/25.43 ------ Problem Properties
% 186.74/25.43
% 186.74/25.43
% 186.74/25.43 clauses 176
% 186.74/25.43 conjectures 4
% 186.74/25.43 EPR 53
% 186.74/25.43 Horn 108
% 186.74/25.43 unary 53
% 186.74/25.43 binary 32
% 186.74/25.43 lits 644
% 186.74/25.43 lits eq 36
% 186.74/25.43 fd_pure 0
% 186.74/25.43 fd_pseudo 0
% 186.74/25.43 fd_cond 1
% 186.74/25.43 fd_pseudo_cond 6
% 186.74/25.43 AC symbols 0
% 186.74/25.43
% 186.74/25.43 ------ Input Options Time Limit: Unbounded
% 186.74/25.43
% 186.74/25.43
% 186.74/25.43 ------
% 186.74/25.43 Current options:
% 186.74/25.43 ------
% 186.74/25.43
% 186.74/25.43
% 186.74/25.43
% 186.74/25.43
% 186.74/25.43 ------ Proving...
% 186.74/25.43
% 186.74/25.43
% 186.74/25.43 % SZS status Theorem for theBenchmark.p
% 186.74/25.43
% 186.74/25.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 186.74/25.43
% 186.74/25.43
%------------------------------------------------------------------------------