TSTP Solution File: LAT304+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Fri May 3 02:35:10 EDT 2024
% Result : Theorem 4.10s 1.16s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 157 ( 17 unt; 0 def)
% Number of atoms : 556 ( 64 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 681 ( 282 ~; 278 |; 97 &)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 186 ( 4 sgn 96 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f10,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f12,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(f19,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] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f29,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f41,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(f51,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(f52,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f66,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(f67,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f69,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f71,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(f91,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f92,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f94,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f93]) ).
fof(f104,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f107,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f110,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f120,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f121,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f130,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f131,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f146,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,[],[f51]) ).
fof(f147,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,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f148]) ).
fof(f155,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,[],[f66]) ).
fof(f156,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,[],[f155]) ).
fof(f157,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f158,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f160,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,[],[f71]) ).
fof(f161,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,[],[f160]) ).
fof(f171,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(f172,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f147,f171]) ).
fof(f173,plain,
( ? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ~ m2_filter_2(u1_struct_0(sK1),sK1)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f92,f173]) ).
fof(f197,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,[],[f171]) ).
fof(f224,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,[],[f156]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f226,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,[],[f161]) ).
fof(f227,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f174]) ).
fof(f228,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f174]) ).
fof(f229,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f174]) ).
fof(f230,plain,
~ m2_filter_2(u1_struct_0(sK1),sK1),
inference(cnf_transformation,[],[f174]) ).
fof(f231,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f246,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f249,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f250,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f253,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f254,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f263,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f264,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f265,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f266,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f267,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f268,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f280,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f308,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f309,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f348,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,[],[f224]) ).
fof(f349,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f352,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f355,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,[],[f226]) ).
cnf(c_49,negated_conjecture,
~ m2_filter_2(u1_struct_0(sK1),sK1),
inference(cnf_transformation,[],[f230]) ).
cnf(c_50,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f229]) ).
cnf(c_51,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f228]) ).
cnf(c_52,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f227]) ).
cnf(c_53,plain,
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_64,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_67,plain,
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_68,plain,
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_71,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f254]) ).
cnf(c_72,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_81,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_82,plain,
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_83,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_84,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_85,plain,
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f267]) ).
cnf(c_86,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_99,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_118,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_127,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f309]) ).
cnf(c_130,plain,
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| X0 = X3 ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_165,plain,
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_168,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_170,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_172,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,[],[f355]) ).
cnf(c_279,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_168]) ).
cnf(c_285,plain,
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
cnf(c_287,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
cnf(c_289,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
cnf(c_315,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_81]) ).
cnf(c_317,plain,
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
cnf(c_319,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_83]) ).
cnf(c_325,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
cnf(c_327,plain,
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_329,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
cnf(c_347,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_118]) ).
cnf(c_1807,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_287,c_319]) ).
cnf(c_1808,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_1807]) ).
cnf(c_1816,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_287,c_317]) ).
cnf(c_1817,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1816]) ).
cnf(c_1825,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_287,c_315]) ).
cnf(c_1826,plain,
( ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1825]) ).
cnf(c_1875,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_289,c_329]) ).
cnf(c_1876,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_1875]) ).
cnf(c_1884,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_289,c_327]) ).
cnf(c_1885,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1884]) ).
cnf(c_1893,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_289,c_325]) ).
cnf(c_1894,plain,
( ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1893]) ).
cnf(c_1945,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u1_lattices(X0) != X1
| ~ l3_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_279,c_1826]) ).
cnf(c_1946,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1945]) ).
cnf(c_1963,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u2_lattices(X0) != X1
| ~ l3_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_279,c_1894]) ).
cnf(c_1964,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1963]) ).
cnf(c_2068,plain,
( k1_lattice2(X0) != X1
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1 ),
inference(resolution_lifted,[status(thm)],[c_53,c_285]) ).
cnf(c_2069,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(unflattening,[status(thm)],[c_2068]) ).
cnf(c_2130,plain,
( X0 != X1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_127,c_347]) ).
cnf(c_2131,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2130]) ).
cnf(c_2498,plain,
( u1_struct_0(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_172]) ).
cnf(c_2499,plain,
( ~ m1_filter_2(u1_struct_0(sK1),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_2498]) ).
cnf(c_2500,plain,
~ m1_filter_2(u1_struct_0(sK1),k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_2499,c_51,c_50,c_52,c_2499]) ).
cnf(c_2632,plain,
( u1_struct_0(X0) != X1
| X0 != X2
| ~ l3_lattices(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X0)
| ~ v10_lattices(X2)
| m1_filter_2(X1,X2)
| v3_struct_0(X0)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_165,c_170]) ).
cnf(c_2633,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2632]) ).
cnf(c_4262,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_4263,negated_conjecture,
v10_lattices(sK1),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_4264,negated_conjecture,
l3_lattices(sK1),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_5545,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(superposition,[status(thm)],[c_68,c_53]) ).
cnf(c_5849,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_4264,c_64]) ).
cnf(c_6288,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_5849,c_130]) ).
cnf(c_9622,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5545,c_67,c_2069]) ).
cnf(c_9628,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_4264,c_9622]) ).
cnf(c_10029,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_9628,c_6288]) ).
cnf(c_10494,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_1946,c_10029]) ).
cnf(c_10495,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10494,c_4264]) ).
cnf(c_10520,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_1964,c_10495]) ).
cnf(c_10521,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10520,c_4264]) ).
cnf(c_10542,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_1817,c_10521]) ).
cnf(c_10543,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10542,c_4264]) ).
cnf(c_10560,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_1885,c_10543]) ).
cnf(c_10561,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10560,c_4264]) ).
cnf(c_11040,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_1808,c_10561]) ).
cnf(c_11041,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11040,c_4264]) ).
cnf(c_11066,plain,
( ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_1876,c_11041]) ).
cnf(c_11067,plain,
u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_11066,c_4264]) ).
cnf(c_11074,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_filter_2(u1_struct_0(sK1),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_11067,c_2633]) ).
cnf(c_11102,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11074,c_2500]) ).
cnf(c_11141,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_67,c_11102]) ).
cnf(c_11142,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11141,c_4264]) ).
cnf(c_11155,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_2131,c_11142]) ).
cnf(c_11156,plain,
v3_struct_0(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_11155,c_4262,c_4263,c_4264]) ).
cnf(c_11157,plain,
( ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_11156,c_99]) ).
cnf(c_11158,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11157,c_4262,c_4264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 18:05:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.10/1.16 % SZS status Started for theBenchmark.p
% 4.10/1.16 % SZS status Theorem for theBenchmark.p
% 4.10/1.16
% 4.10/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.10/1.16
% 4.10/1.16 ------ iProver source info
% 4.10/1.16
% 4.10/1.16 git: date: 2024-05-02 19:28:25 +0000
% 4.10/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.10/1.16 git: non_committed_changes: false
% 4.10/1.16
% 4.10/1.16 ------ Parsing...
% 4.10/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.10/1.16
% 4.10/1.16 ------ 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: 15 0s sf_e pe_s pe_e
% 4.10/1.16
% 4.10/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.10/1.16
% 4.10/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.10/1.16 ------ Proving...
% 4.10/1.16 ------ Problem Properties
% 4.10/1.16
% 4.10/1.16
% 4.10/1.16 clauses 102
% 4.10/1.16 conjectures 3
% 4.10/1.16 EPR 29
% 4.10/1.16 Horn 84
% 4.10/1.16 unary 42
% 4.10/1.16 binary 28
% 4.10/1.16 lits 242
% 4.10/1.16 lits eq 11
% 4.10/1.16 fd_pure 0
% 4.10/1.16 fd_pseudo 0
% 4.10/1.16 fd_cond 1
% 4.10/1.16 fd_pseudo_cond 4
% 4.10/1.16 AC symbols 0
% 4.10/1.16
% 4.10/1.16 ------ Schedule dynamic 5 is on
% 4.10/1.16
% 4.10/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.10/1.16
% 4.10/1.16
% 4.10/1.16 ------
% 4.10/1.16 Current options:
% 4.10/1.16 ------
% 4.10/1.16
% 4.10/1.16
% 4.10/1.16
% 4.10/1.16
% 4.10/1.16 ------ Proving...
% 4.10/1.16
% 4.10/1.16
% 4.10/1.16 % SZS status Theorem for theBenchmark.p
% 4.10/1.16
% 4.10/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.16
% 4.10/1.16
%------------------------------------------------------------------------------