%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT317+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:51 AM UTC 2026
% Result : Theorem 9.14s 2.42s
% Output : Refutation 10.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 26
% Syntax : Number of formulae : 228 ( 30 unt; 12 def)
% Number of atoms : 1032 ( 64 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1347 ( 543 ~; 640 |; 120 &)
% ( 16 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 11 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 161 ( 0 sgn 155 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2494,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r1_tarski(X1,k5_filter_0(X0,X1,X2))
& r1_tarski(X2,k5_filter_0(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_filter_0) ).
fof(f2540,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f2564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2569,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2873,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2874,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f2903,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f2904,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f2942,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(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(f2943,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f2979,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_filter_2) ).
fof(f2985,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( r1_tarski(X1,k20_filter_2(X0,X1,X2))
& r1_tarski(X2,k20_filter_2(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_filter_2) ).
fof(f2986,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( r1_tarski(X1,k20_filter_2(X0,X1,X2))
& r1_tarski(X2,k20_filter_2(X0,X1,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2985]) ).
fof(f5542,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(X1,k5_filter_0(X0,X1,X2))
& r1_tarski(X2,k5_filter_0(X0,X1,X2)) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2494]) ).
fof(f5543,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(X1,k5_filter_0(X0,X1,X2))
& r1_tarski(X2,k5_filter_0(X0,X1,X2)) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5542]) ).
fof(f5626,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2540]) ).
fof(f5627,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5626]) ).
fof(f5674,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2564]) ).
fof(f5675,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5674]) ).
fof(f5684,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2569]) ).
fof(f5685,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5684]) ).
fof(f5725,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2597]) ).
fof(f5726,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5725]) ).
fof(f5861,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f6072,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2873]) ).
fof(f6073,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6072]) ).
fof(f6074,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2874]) ).
fof(f6075,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6074]) ).
fof(f6132,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2903]) ).
fof(f6133,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f6132]) ).
fof(f6134,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2904]) ).
fof(f6135,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f6134]) ).
fof(f6207,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2942]) ).
fof(f6208,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6207]) ).
fof(f6209,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2943]) ).
fof(f6210,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6209]) ).
fof(f6281,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2979]) ).
fof(f6282,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6281]) ).
fof(f6293,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X1,k20_filter_2(X0,X1,X2))
| ~ r1_tarski(X2,k20_filter_2(X0,X1,X2)) )
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2986]) ).
fof(f6294,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X1,k20_filter_2(X0,X1,X2))
| ~ r1_tarski(X2,k20_filter_2(X0,X1,X2)) )
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f6293]) ).
fof(f6469,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP112(X0) ),
introduced(definition,[new_symbols(definition,[sP112])],[predicate_definition_introduction]) ).
fof(f6470,plain,
! [X0] :
( sP112(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f5685,f6469]) ).
fof(f7871,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP112(X0) ),
inference(nnf_transformation,[],[f6469]) ).
fof(f7997,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6073]) ).
fof(f8017,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) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6208]) ).
fof(f8044,plain,
( ( ~ r1_tarski(sK1077,k20_filter_2(sK1076,sK1077,sK1078))
| ~ r1_tarski(sK1078,k20_filter_2(sK1076,sK1077,sK1078)) )
& m2_filter_2(sK1078,sK1076)
& m2_filter_2(sK1077,sK1076)
& ~ v3_struct_0(sK1076)
& v10_lattices(sK1076)
& l3_lattices(sK1076) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1076,sK1077,sK1078]),skolemize(X0,sK1076),skolemize(X1,sK1077),skolemize(X2,sK1078)],[f6294]) ).
fof(f12599,plain,
! [X2,X0,X1] :
( r1_tarski(X2,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5543]) ).
fof(f12600,plain,
! [X2,X0,X1] :
( r1_tarski(X1,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5543]) ).
fof(f12691,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5627]) ).
fof(f12740,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5675]) ).
fof(f12761,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP112(X0) ),
inference(cnf_transformation,[],[f7871]) ).
fof(f12770,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP112(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6470]) ).
fof(f12887,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f5726]) ).
fof(f13008,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5861]) ).
fof(f13303,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7997]) ).
fof(f13306,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6075]) ).
fof(f13338,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f6133]) ).
fof(f13339,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f6135]) ).
fof(f13416,plain,
! [X0,X1] :
( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8017]) ).
fof(f13418,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6210]) ).
fof(f13504,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X4)
| k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6282]) ).
fof(f13516,plain,
l3_lattices(sK1076),
inference(cnf_transformation,[],[f8044]) ).
fof(f13517,plain,
v10_lattices(sK1076),
inference(cnf_transformation,[],[f8044]) ).
fof(f13518,plain,
~ v3_struct_0(sK1076),
inference(cnf_transformation,[],[f8044]) ).
fof(f13519,plain,
m2_filter_2(sK1077,sK1076),
inference(cnf_transformation,[],[f8044]) ).
fof(f13520,plain,
m2_filter_2(sK1078,sK1076),
inference(cnf_transformation,[],[f8044]) ).
fof(f13521,plain,
( ~ r1_tarski(sK1077,k20_filter_2(sK1076,sK1077,sK1078))
| ~ r1_tarski(sK1078,k20_filter_2(sK1076,sK1077,sK1078)) ),
inference(cnf_transformation,[],[f8044]) ).
fof(f15447,definition,
sF1079 = k20_filter_2(sK1076,sK1077,sK1078),
introduced(definition,[new_symbols(definition,[sF1079])],[function_definition]) ).
fof(f15448,plain,
k20_filter_2(sK1076,sK1077,sK1078) = sF1079,
inference(reorient_equations,[],[f15447]) ).
fof(f15449,plain,
( ~ r1_tarski(sK1077,sF1079)
| ~ r1_tarski(sK1078,sF1079) ),
inference(definition_folding,[],[f13521,f15448,f15448]) ).
fof(f15509,definition,
( spl1080_1
<=> r1_tarski(sK1078,sF1079) ),
introduced(definition,[new_symbols(definition,[spl1080_1])],[avatar_definition]) ).
fof(f15513,definition,
( spl1080_2
<=> r1_tarski(sK1077,sF1079) ),
introduced(definition,[new_symbols(definition,[spl1080_2])],[avatar_definition]) ).
fof(f15515,plain,
( ~ r1_tarski(sK1077,sF1079)
| spl1080_2 ),
inference(avatar_component_clause,[],[f15513]) ).
fof(f15516,plain,
( ~ spl1080_1
| ~ spl1080_2 ),
inference(avatar_split_clause,[],[f15449,f15513,f15509]) ).
fof(f17997,plain,
( ~ v1_xboole_0(sK1078)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076) ),
inference(resolution,[],[f13306,f13520]) ).
fof(f17998,plain,
( ~ v1_xboole_0(sK1077)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076) ),
inference(resolution,[],[f13306,f13519]) ).
fof(f18009,plain,
( ~ v1_xboole_0(sK1077)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076) ),
inference(forward_subsumption_resolution,[],[f17998,f13518]) ).
fof(f18010,plain,
( ~ v1_xboole_0(sK1078)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076) ),
inference(forward_subsumption_resolution,[],[f17997,f13518]) ).
fof(f18011,plain,
( ~ v1_xboole_0(sK1077)
| ~ l3_lattices(sK1076) ),
inference(forward_subsumption_resolution,[],[f18009,f13517]) ).
fof(f18012,plain,
( ~ v1_xboole_0(sK1078)
| ~ l3_lattices(sK1076) ),
inference(forward_subsumption_resolution,[],[f18010,f13517]) ).
fof(f18013,plain,
~ v1_xboole_0(sK1077),
inference(forward_subsumption_resolution,[],[f18011,f13516]) ).
fof(f18014,plain,
~ v1_xboole_0(sK1078),
inference(forward_subsumption_resolution,[],[f18012,f13516]) ).
fof(f18025,plain,
( v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| k7_filter_2(sK1076,sK1078) = k15_filter_2(sK1076,sK1078) ),
inference(resolution,[],[f13339,f13520]) ).
fof(f18026,plain,
( v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| k7_filter_2(sK1076,sK1077) = k15_filter_2(sK1076,sK1077) ),
inference(resolution,[],[f13339,f13519]) ).
fof(f18027,plain,
( ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| k7_filter_2(sK1076,sK1077) = k15_filter_2(sK1076,sK1077) ),
inference(forward_subsumption_resolution,[],[f18026,f13518]) ).
fof(f18028,plain,
( ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| k7_filter_2(sK1076,sK1078) = k15_filter_2(sK1076,sK1078) ),
inference(forward_subsumption_resolution,[],[f18025,f13518]) ).
fof(f18029,plain,
( ~ l3_lattices(sK1076)
| k7_filter_2(sK1076,sK1077) = k15_filter_2(sK1076,sK1077) ),
inference(forward_subsumption_resolution,[],[f18027,f13517]) ).
fof(f18030,plain,
( ~ l3_lattices(sK1076)
| k7_filter_2(sK1076,sK1078) = k15_filter_2(sK1076,sK1078) ),
inference(forward_subsumption_resolution,[],[f18028,f13517]) ).
fof(f18031,plain,
k7_filter_2(sK1076,sK1077) = k15_filter_2(sK1076,sK1077),
inference(forward_subsumption_resolution,[],[f18029,f13516]) ).
fof(f18032,plain,
k7_filter_2(sK1076,sK1078) = k15_filter_2(sK1076,sK1078),
inference(forward_subsumption_resolution,[],[f18030,f13516]) ).
fof(f18033,plain,
! [X0,X1] :
( m1_filter_0(X0,k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f13303,f13416]) ).
fof(f18034,plain,
! [X0,X1] :
( m1_filter_0(X0,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f18033,f12740]) ).
fof(f18035,plain,
! [X0,X1] :
( m1_filter_0(X0,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f18034,f13008]) ).
fof(f18045,definition,
( spl1080_343
<=> m1_subset_1(sK1078,k1_zfmisc_1(u1_struct_0(sK1076))) ),
introduced(definition,[new_symbols(definition,[spl1080_343])],[avatar_definition]) ).
fof(f18046,plain,
( m1_subset_1(sK1078,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ spl1080_343 ),
inference(avatar_component_clause,[],[f18045]) ).
fof(f18047,plain,
( ~ m1_subset_1(sK1078,k1_zfmisc_1(u1_struct_0(sK1076)))
| spl1080_343 ),
inference(avatar_component_clause,[],[f18045]) ).
fof(f18049,definition,
( spl1080_344
<=> m1_subset_1(sK1077,k1_zfmisc_1(u1_struct_0(sK1076))) ),
introduced(definition,[new_symbols(definition,[spl1080_344])],[avatar_definition]) ).
fof(f18050,plain,
( m1_subset_1(sK1077,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ spl1080_344 ),
inference(avatar_component_clause,[],[f18049]) ).
fof(f18051,plain,
( ~ m1_subset_1(sK1077,k1_zfmisc_1(u1_struct_0(sK1076)))
| spl1080_344 ),
inference(avatar_component_clause,[],[f18049]) ).
fof(f18061,plain,
( v3_struct_0(sK1076)
| sP112(sK1076)
| ~ l3_lattices(sK1076) ),
inference(resolution,[],[f12770,f13517]) ).
fof(f18062,plain,
( sP112(sK1076)
| ~ l3_lattices(sK1076) ),
inference(forward_subsumption_resolution,[],[f18061,f13518]) ).
fof(f18063,plain,
sP112(sK1076),
inference(forward_subsumption_resolution,[],[f18062,f13516]) ).
fof(f18120,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076))
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ m2_filter_2(sK1078,sK1076) ),
inference(superposition,[],[f13338,f18032]) ).
fof(f18121,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ m2_filter_2(sK1077,sK1076) ),
inference(superposition,[],[f13338,f18031]) ).
fof(f18123,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ m2_filter_2(sK1077,sK1076) ),
inference(forward_subsumption_resolution,[],[f18121,f13518]) ).
fof(f18124,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076))
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ m2_filter_2(sK1078,sK1076) ),
inference(forward_subsumption_resolution,[],[f18120,f13518]) ).
fof(f18126,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| ~ l3_lattices(sK1076)
| ~ m2_filter_2(sK1077,sK1076) ),
inference(forward_subsumption_resolution,[],[f18123,f13517]) ).
fof(f18127,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076))
| ~ l3_lattices(sK1076)
| ~ m2_filter_2(sK1078,sK1076) ),
inference(forward_subsumption_resolution,[],[f18124,f13517]) ).
fof(f18129,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| ~ m2_filter_2(sK1077,sK1076) ),
inference(forward_subsumption_resolution,[],[f18126,f13516]) ).
fof(f18130,plain,
( m1_filter_2(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076))
| ~ m2_filter_2(sK1078,sK1076) ),
inference(forward_subsumption_resolution,[],[f18127,f13516]) ).
fof(f18131,plain,
m1_filter_2(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076)),
inference(forward_subsumption_resolution,[],[f18129,f13519]) ).
fof(f18132,plain,
m1_filter_2(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076)),
inference(forward_subsumption_resolution,[],[f18130,f13520]) ).
fof(f18134,plain,
( m1_filter_0(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076)) ),
inference(resolution,[],[f18132,f13303]) ).
fof(f18136,definition,
( spl1080_349
<=> l3_lattices(k1_lattice2(sK1076)) ),
introduced(definition,[new_symbols(definition,[spl1080_349])],[avatar_definition]) ).
fof(f18137,plain,
( l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_349 ),
inference(avatar_component_clause,[],[f18136]) ).
fof(f18138,plain,
( ~ l3_lattices(k1_lattice2(sK1076))
| spl1080_349 ),
inference(avatar_component_clause,[],[f18136]) ).
fof(f18140,definition,
( spl1080_350
<=> v10_lattices(k1_lattice2(sK1076)) ),
introduced(definition,[new_symbols(definition,[spl1080_350])],[avatar_definition]) ).
fof(f18141,plain,
( v10_lattices(k1_lattice2(sK1076))
| ~ spl1080_350 ),
inference(avatar_component_clause,[],[f18140]) ).
fof(f18142,plain,
( ~ v10_lattices(k1_lattice2(sK1076))
| spl1080_350 ),
inference(avatar_component_clause,[],[f18140]) ).
fof(f18144,definition,
( spl1080_351
<=> v3_struct_0(k1_lattice2(sK1076)) ),
introduced(definition,[new_symbols(definition,[spl1080_351])],[avatar_definition]) ).
fof(f18145,plain,
( ~ v3_struct_0(k1_lattice2(sK1076))
| spl1080_351 ),
inference(avatar_component_clause,[],[f18144]) ).
fof(f18146,plain,
( v3_struct_0(k1_lattice2(sK1076))
| ~ spl1080_351 ),
inference(avatar_component_clause,[],[f18144]) ).
fof(f18148,definition,
( spl1080_352
<=> m1_filter_0(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076)) ),
introduced(definition,[new_symbols(definition,[spl1080_352])],[avatar_definition]) ).
fof(f18150,plain,
( m1_filter_0(k7_filter_2(sK1076,sK1078),k1_lattice2(sK1076))
| ~ spl1080_352 ),
inference(avatar_component_clause,[],[f18148]) ).
fof(f18151,plain,
( ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| spl1080_352 ),
inference(avatar_split_clause,[],[f18134,f18148,f18144,f18140,f18136]) ).
fof(f18155,plain,
( ~ l3_lattices(sK1076)
| spl1080_349 ),
inference(resolution,[],[f18138,f13008]) ).
fof(f18156,plain,
( $false
| spl1080_349 ),
inference(forward_subsumption_resolution,[],[f18155,f13516]) ).
fof(f18157,plain,
spl1080_349,
inference(avatar_contradiction_clause,[],[f18156]) ).
fof(f18161,plain,
( m1_filter_0(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076)) ),
inference(resolution,[],[f18131,f13303]) ).
fof(f18215,plain,
( v3_struct_0(sK1076)
| u1_struct_0(sK1076) = u1_struct_0(k1_lattice2(sK1076)) ),
inference(resolution,[],[f12887,f13516]) ).
fof(f18223,plain,
u1_struct_0(sK1076) = u1_struct_0(k1_lattice2(sK1076)),
inference(forward_subsumption_resolution,[],[f18215,f13518]) ).
fof(f18224,plain,
( v3_struct_0(sK1076)
| ~ l3_lattices(sK1076)
| ~ spl1080_351 ),
inference(resolution,[],[f18146,f12740]) ).
fof(f18225,plain,
( ~ l3_lattices(sK1076)
| ~ spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18224,f13518]) ).
fof(f18226,plain,
( $false
| ~ spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18225,f13516]) ).
fof(f18227,plain,
~ spl1080_351,
inference(avatar_contradiction_clause,[],[f18226]) ).
fof(f18229,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X0)
| k20_filter_2(sK1076,X1,X2) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X1),k7_filter_2(sK1076,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1076)))
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076) ),
inference(superposition,[],[f13504,f18223]) ).
fof(f18231,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ m1_filter_0(X0,k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076)) ),
inference(superposition,[],[f12691,f18223]) ).
fof(f18234,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X0)
| k20_filter_2(sK1076,X1,X2) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X1),k7_filter_2(sK1076,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076) ),
inference(forward_subsumption_resolution,[],[f18229,f13518]) ).
fof(f18235,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X0)
| k20_filter_2(sK1076,X1,X2) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X1),k7_filter_2(sK1076,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ l3_lattices(sK1076) ),
inference(forward_subsumption_resolution,[],[f18234,f13517]) ).
fof(f18236,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X0)
| k20_filter_2(sK1076,X1,X2) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X1),k7_filter_2(sK1076,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1076))) ),
inference(forward_subsumption_resolution,[],[f18235,f13516]) ).
fof(f18238,definition,
( spl1080_354
<=> ! [X3] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1076))) ) ),
introduced(definition,[new_symbols(definition,[spl1080_354])],[avatar_definition]) ).
fof(f18239,plain,
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X3) )
| ~ spl1080_354 ),
inference(avatar_component_clause,[],[f18238]) ).
fof(f18241,definition,
( spl1080_355
<=> ! [X2,X1] :
( k20_filter_2(sK1076,X1,X2) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X1),k7_filter_2(sK1076,X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X2) ) ),
introduced(definition,[new_symbols(definition,[spl1080_355])],[avatar_definition]) ).
fof(f18242,plain,
( ! [X2,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X1)
| k20_filter_2(sK1076,X1,X2) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X1),k7_filter_2(sK1076,X2))
| v1_xboole_0(X2) )
| ~ spl1080_355 ),
inference(avatar_component_clause,[],[f18241]) ).
fof(f18243,plain,
( spl1080_354
| spl1080_355
| spl1080_354 ),
inference(avatar_split_clause,[],[f18236,f18238,f18241,f18238]) ).
fof(f18254,plain,
( ~ sP112(sK1076)
| spl1080_350 ),
inference(resolution,[],[f12761,f18142]) ).
fof(f18259,plain,
( $false
| spl1080_350 ),
inference(forward_subsumption_resolution,[],[f18254,f18063]) ).
fof(f18260,plain,
spl1080_350,
inference(avatar_contradiction_clause,[],[f18259]) ).
fof(f18261,plain,
( m1_filter_0(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18161,f18145]) ).
fof(f18265,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ m1_filter_0(X0,k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076)) )
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18231,f18145]) ).
fof(f18267,plain,
( m1_filter_0(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18261,f18141]) ).
fof(f18271,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ m1_filter_0(X0,k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076)) )
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18265,f18141]) ).
fof(f18273,plain,
( m1_filter_0(k7_filter_2(sK1076,sK1077),k1_lattice2(sK1076))
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18267,f18137]) ).
fof(f18277,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| ~ m1_filter_0(X0,k1_lattice2(sK1076)) )
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18271,f18137]) ).
fof(f18317,plain,
( ~ m1_filter_0(sK1078,k1_lattice2(sK1076))
| spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(resolution,[],[f18277,f18047]) ).
fof(f18323,plain,
( ~ v10_lattices(k1_lattice2(sK1076))
| ~ m2_filter_2(sK1078,sK1076)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(resolution,[],[f18317,f18035]) ).
fof(f18324,plain,
( ~ m2_filter_2(sK1078,sK1076)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18323,f18141]) ).
fof(f18325,plain,
( v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18324,f13520]) ).
fof(f18326,plain,
( ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18325,f13518]) ).
fof(f18327,plain,
( ~ l3_lattices(sK1076)
| spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18326,f13517]) ).
fof(f18328,plain,
( $false
| spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18327,f13516]) ).
fof(f18329,plain,
( spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(avatar_contradiction_clause,[],[f18328]) ).
fof(f18330,plain,
( v1_xboole_0(sK1078)
| ~ spl1080_343
| ~ spl1080_354 ),
inference(resolution,[],[f18046,f18239]) ).
fof(f18331,plain,
( sK1078 = k7_filter_2(sK1076,sK1078)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ spl1080_343 ),
inference(resolution,[],[f18046,f13418]) ).
fof(f18334,plain,
( sK1078 = k7_filter_2(sK1076,sK1078)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ spl1080_343 ),
inference(forward_subsumption_resolution,[],[f18331,f13518]) ).
fof(f18335,plain,
( $false
| ~ spl1080_343
| ~ spl1080_354 ),
inference(forward_subsumption_resolution,[],[f18330,f18014]) ).
fof(f18336,plain,
( ~ spl1080_343
| ~ spl1080_354 ),
inference(avatar_contradiction_clause,[],[f18335]) ).
fof(f18337,plain,
( sK1078 = k7_filter_2(sK1076,sK1078)
| ~ l3_lattices(sK1076)
| ~ spl1080_343 ),
inference(forward_subsumption_resolution,[],[f18334,f13517]) ).
fof(f18338,plain,
( sK1078 = k7_filter_2(sK1076,sK1078)
| ~ spl1080_343 ),
inference(forward_subsumption_resolution,[],[f18337,f13516]) ).
fof(f18345,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X0)
| k20_filter_2(sK1076,X0,sK1078) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X0),k7_filter_2(sK1076,sK1078))
| v1_xboole_0(sK1078) )
| ~ spl1080_343
| ~ spl1080_355 ),
inference(resolution,[],[f18242,f18046]) ).
fof(f18346,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v1_xboole_0(X0)
| k20_filter_2(sK1076,X0,sK1078) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X0),k7_filter_2(sK1076,sK1078)) )
| ~ spl1080_343
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18345,f18014]) ).
fof(f18349,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1076)))
| k20_filter_2(sK1076,X0,sK1078) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,X0),sK1078)
| v1_xboole_0(X0) )
| ~ spl1080_343
| ~ spl1080_355 ),
inference(forward_demodulation,[],[f18346,f18338]) ).
fof(f18354,plain,
( ~ m1_filter_0(sK1077,k1_lattice2(sK1076))
| spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(resolution,[],[f18051,f18277]) ).
fof(f18359,plain,
( ~ v10_lattices(k1_lattice2(sK1076))
| ~ m2_filter_2(sK1077,sK1076)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(resolution,[],[f18354,f18035]) ).
fof(f18360,plain,
( ~ m2_filter_2(sK1077,sK1076)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18359,f18141]) ).
fof(f18361,plain,
( v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18360,f13519]) ).
fof(f18362,plain,
( ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18361,f13518]) ).
fof(f18363,plain,
( ~ l3_lattices(sK1076)
| spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18362,f13517]) ).
fof(f18364,plain,
( $false
| spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(forward_subsumption_resolution,[],[f18363,f13516]) ).
fof(f18365,plain,
( spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(avatar_contradiction_clause,[],[f18364]) ).
fof(f18367,plain,
( sK1077 = k7_filter_2(sK1076,sK1077)
| v3_struct_0(sK1076)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ spl1080_344 ),
inference(resolution,[],[f18050,f13418]) ).
fof(f18370,plain,
( sK1077 = k7_filter_2(sK1076,sK1077)
| ~ v10_lattices(sK1076)
| ~ l3_lattices(sK1076)
| ~ spl1080_344 ),
inference(forward_subsumption_resolution,[],[f18367,f13518]) ).
fof(f18372,plain,
( sK1077 = k7_filter_2(sK1076,sK1077)
| ~ l3_lattices(sK1076)
| ~ spl1080_344 ),
inference(forward_subsumption_resolution,[],[f18370,f13517]) ).
fof(f18373,plain,
( sK1077 = k7_filter_2(sK1076,sK1077)
| ~ spl1080_344 ),
inference(forward_subsumption_resolution,[],[f18372,f13516]) ).
fof(f18375,plain,
( m1_filter_0(sK1077,k1_lattice2(sK1076))
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(superposition,[],[f18273,f18373]) ).
fof(f18394,plain,
( m1_filter_0(sK1078,k1_lattice2(sK1076))
| ~ spl1080_343
| ~ spl1080_352 ),
inference(superposition,[],[f18150,f18338]) ).
fof(f18430,plain,
( k20_filter_2(sK1076,sK1077,sK1078) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,sK1077),sK1078)
| v1_xboole_0(sK1077)
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_355 ),
inference(resolution,[],[f18349,f18050]) ).
fof(f18434,plain,
( k20_filter_2(sK1076,sK1077,sK1078) = k5_filter_0(k1_lattice2(sK1076),k7_filter_2(sK1076,sK1077),sK1078)
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18430,f18013]) ).
fof(f18438,plain,
( k20_filter_2(sK1076,sK1077,sK1078) = k5_filter_0(k1_lattice2(sK1076),sK1077,sK1078)
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_355 ),
inference(forward_demodulation,[],[f18434,f18373]) ).
fof(f18441,plain,
( sF1079 = k5_filter_0(k1_lattice2(sK1076),sK1077,sK1078)
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_355 ),
inference(forward_demodulation,[],[f18438,f15448]) ).
fof(f18444,plain,
( r1_tarski(sK1077,sF1079)
| ~ m1_filter_0(sK1078,k1_lattice2(sK1076))
| ~ m1_filter_0(sK1077,k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_355 ),
inference(superposition,[],[f12600,f18441]) ).
fof(f18445,plain,
( r1_tarski(sK1078,sF1079)
| ~ m1_filter_0(sK1078,k1_lattice2(sK1076))
| ~ m1_filter_0(sK1077,k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_355 ),
inference(superposition,[],[f12599,f18441]) ).
fof(f18446,plain,
( r1_tarski(sK1078,sF1079)
| ~ m1_filter_0(sK1077,k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18445,f18394]) ).
fof(f18447,plain,
( ~ m1_filter_0(sK1078,k1_lattice2(sK1076))
| ~ m1_filter_0(sK1077,k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18444,f15515]) ).
fof(f18448,plain,
( r1_tarski(sK1078,sF1079)
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18446,f18375]) ).
fof(f18449,plain,
( ~ m1_filter_0(sK1077,k1_lattice2(sK1076))
| v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18447,f18394]) ).
fof(f18450,plain,
( r1_tarski(sK1078,sF1079)
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18448,f18145]) ).
fof(f18451,plain,
( v3_struct_0(k1_lattice2(sK1076))
| ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18449,f18375]) ).
fof(f18452,plain,
( r1_tarski(sK1078,sF1079)
| ~ l3_lattices(k1_lattice2(sK1076))
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18450,f18141]) ).
fof(f18453,plain,
( ~ v10_lattices(k1_lattice2(sK1076))
| ~ l3_lattices(k1_lattice2(sK1076))
| spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18451,f18145]) ).
fof(f18454,plain,
( r1_tarski(sK1078,sF1079)
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18452,f18137]) ).
fof(f18455,plain,
( ~ l3_lattices(k1_lattice2(sK1076))
| spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18453,f18141]) ).
fof(f18456,plain,
( spl1080_1
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(avatar_split_clause,[],[f18454,f18241,f18148,f18144,f18140,f18136,f18049,f18045,f15509]) ).
fof(f18457,plain,
( $false
| spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(forward_subsumption_resolution,[],[f18455,f18137]) ).
fof(f18458,plain,
( spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(avatar_contradiction_clause,[],[f18457]) ).
cnf(s1,plain,
( ~ spl1080_1
| ~ spl1080_2 ),
inference(sat_conversion,[],[f15516]) ).
cnf(s301,plain,
( ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| spl1080_352 ),
inference(sat_conversion,[],[f18151]) ).
cnf(s302,plain,
spl1080_349,
inference(sat_conversion,[],[f18157]) ).
cnf(s304,plain,
~ spl1080_351,
inference(sat_conversion,[],[f18227]) ).
cnf(s305,plain,
( spl1080_354
| spl1080_354
| spl1080_355 ),
inference(sat_conversion,[],[f18243]) ).
cnf(s306,plain,
( spl1080_354
| spl1080_355 ),
inference(rat,[],[s305]) ).
cnf(s307,plain,
spl1080_350,
inference(sat_conversion,[],[f18260]) ).
cnf(s308,plain,
( spl1080_343
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(sat_conversion,[],[f18329]) ).
cnf(s309,plain,
( ~ spl1080_343
| ~ spl1080_354 ),
inference(sat_conversion,[],[f18336]) ).
cnf(s310,plain,
( spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351 ),
inference(sat_conversion,[],[f18365]) ).
cnf(s312,plain,
( spl1080_1
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(sat_conversion,[],[f18456]) ).
cnf(s313,plain,
( spl1080_2
| ~ spl1080_343
| ~ spl1080_344
| ~ spl1080_349
| ~ spl1080_350
| spl1080_351
| ~ spl1080_352
| ~ spl1080_355 ),
inference(sat_conversion,[],[f18458]) ).
cnf(s315,plain,
spl1080_344,
inference(rat,[],[s310,s304,s307,s302]) ).
cnf(s316,plain,
spl1080_343,
inference(rat,[],[s308,s304,s307,s302]) ).
cnf(s318,plain,
~ spl1080_354,
inference(rat,[],[s309,s316]) ).
cnf(s319,plain,
spl1080_355,
inference(rat,[],[s306,s318]) ).
cnf(s320,plain,
spl1080_352,
inference(rat,[],[s301,s304,s307,s302]) ).
cnf(s321,plain,
spl1080_2,
inference(rat,[],[s313,s319,s316,s304,s307,s302,s315,s320]) ).
cnf(s322,plain,
spl1080_1,
inference(rat,[],[s312,s319,s316,s304,s307,s302,s315,s320]) ).
cnf(s333,plain,
$false,
inference(rat,[],[s1,s321,s322]) ).
fof(f18459,plain,
$false,
inference(avatar_sat_refutation,[],[s333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT317+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n026.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:36:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.14/2.42 % (2899540)Detected formulas, will run a generic FOF schedule.
% 9.14/2.42 % (2899545)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3270571525:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.14/2.42 % (2899547)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3065929874:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.14/2.42 % (2899546)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2706745524:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.14/2.42 % (2899548)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1370207275:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.14/2.42 % (2899549)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3645703506:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.14/2.42 % (2899550)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3124167666:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.14/2.42 % (2899551)dis-21_1_sil=8000:lcm=predicate:random_seed=2007747978:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 9.14/2.42 % (2899548)Refutation not found, incomplete strategy
% 9.14/2.42 % (2899548)------------------------------
% 9.14/2.42 % (2899548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899548)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899548)Termination reason: Refutation not found, incomplete strategy
% 9.14/2.42 % (2899548)Time elapsed: 0.014 s
% 9.14/2.42 % (2899548)Peak memory usage: 91 MB
% 9.14/2.42 % (2899548)Instructions burned: 18 (million)
% 9.14/2.42 % (2899549)Instruction limit reached!
% 9.14/2.42 % (2899549)------------------------------
% 9.14/2.42 % (2899549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899549)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899549)Termination reason: Instruction limit
% 9.14/2.42 % (2899549)Termination phase: Saturation
% 9.14/2.42 % (2899549)Time elapsed: 0.075 s
% 9.14/2.42 % (2899549)Peak memory usage: 93 MB
% 9.14/2.42 % (2899549)Instructions burned: 119 (million)
% 9.14/2.42 % (2899551)Instruction limit reached!
% 9.14/2.42 % (2899551)------------------------------
% 9.14/2.42 % (2899551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899551)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899551)Termination reason: Instruction limit
% 9.14/2.42 % (2899551)Termination phase: Property scanning
% 9.14/2.42 % (2899551)Time elapsed: 0.078 s
% 9.14/2.42 % (2899551)Peak memory usage: 92 MB
% 9.14/2.42 % (2899551)Instructions burned: 132 (million)
% 9.14/2.42 % (2899550)Instruction limit reached!
% 9.14/2.42 % (2899550)------------------------------
% 9.14/2.42 % (2899550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899550)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899550)Termination reason: Instruction limit
% 9.14/2.42 % (2899550)Termination phase: Property scanning
% 9.14/2.42 % (2899550)Time elapsed: 0.086 s
% 9.14/2.42 % (2899550)Peak memory usage: 94 MB
% 9.14/2.42 % (2899550)Instructions burned: 139 (million)
% 9.14/2.42 % (2899559)lrs+10_1_sil=8000:sp=occurrence:random_seed=3013529673:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.14/2.42 % (2899561)lrs+1011_1_sil=32000:sp=occurrence:random_seed=142533311:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.14/2.42 % (2899560)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2720035786:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.14/2.42 % (2899561)Refutation not found, incomplete strategy
% 9.14/2.42 % (2899561)------------------------------
% 9.14/2.42 % (2899561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899561)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899561)Termination reason: Refutation not found, incomplete strategy
% 9.14/2.42 % (2899561)Time elapsed: 0.019 s
% 9.14/2.42 % (2899561)Peak memory usage: 92 MB
% 9.14/2.42 % (2899561)Instructions burned: 26 (million)
% 9.14/2.42 % (2899548)------------------------------
% 9.14/2.42 % (2899548)------------------------------
% 9.14/2.42 % (2899560)Instruction limit reached!
% 9.14/2.42 % (2899560)------------------------------
% 9.14/2.42 % (2899560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899560)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899560)Termination reason: Instruction limit
% 9.14/2.42 % (2899560)Termination phase: Saturation
% 9.14/2.42 % (2899560)Time elapsed: 0.089 s
% 9.14/2.42 % (2899560)Peak memory usage: 92 MB
% 9.14/2.42 % (2899560)Instructions burned: 158 (million)
% 9.14/2.42 % (2899559)Instruction limit reached!
% 9.14/2.42 % (2899559)------------------------------
% 9.14/2.42 % (2899559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899559)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899559)Termination reason: Instruction limit
% 9.14/2.42 % (2899559)Termination phase: Saturation
% 9.14/2.42 % (2899559)Time elapsed: 0.177 s
% 9.14/2.42 % (2899559)Peak memory usage: 95 MB
% 9.14/2.42 % (2899559)Instructions burned: 286 (million)
% 9.14/2.42 % (2899565)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3726276851:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 9.14/2.42 % (2899566)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=50345295:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.14/2.42 % (2899561)------------------------------
% 9.14/2.42 % (2899561)------------------------------
% 9.14/2.42 % (2899567)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3480889858:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.14/2.42 % (2899565)Instruction limit reached!
% 9.14/2.42 % (2899565)------------------------------
% 9.14/2.42 % (2899565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899565)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899565)Termination reason: Instruction limit
% 9.14/2.42 % (2899565)Termination phase: Saturation
% 9.14/2.42 % (2899565)Time elapsed: 0.144 s
% 9.14/2.42 % (2899565)Peak memory usage: 98 MB
% 9.14/2.42 % (2899565)Instructions burned: 248 (million)
% 9.14/2.42 % (2899570)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=341779301:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.14/2.42 % (2899566)Instruction limit reached!
% 9.14/2.42 % (2899566)------------------------------
% 9.14/2.42 % (2899566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899566)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899566)Termination reason: Instruction limit
% 9.14/2.42 % (2899566)Termination phase: Saturation
% 9.14/2.42 % (2899566)Time elapsed: 0.175 s
% 9.14/2.42 % (2899566)Peak memory usage: 95 MB
% 9.14/2.42 % (2899566)Instructions burned: 295 (million)
% 9.14/2.42 % (2899570)Instruction limit reached!
% 9.14/2.42 % (2899570)------------------------------
% 9.14/2.42 % (2899570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899570)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899570)Termination reason: Instruction limit
% 9.14/2.42 % (2899570)Termination phase: Saturation
% 9.14/2.42 % (2899570)Time elapsed: 0.065 s
% 9.14/2.42 % (2899570)Peak memory usage: 93 MB
% 9.14/2.42 % (2899570)Instructions burned: 114 (million)
% 9.14/2.42 % (2899572)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=388112279:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 9.14/2.42 % (2899574)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=355707743:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.14/2.42 % (2899572)Instruction limit reached!
% 9.14/2.42 % (2899572)------------------------------
% 9.14/2.42 % (2899572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899572)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899572)Termination reason: Instruction limit
% 9.14/2.42 % (2899572)Termination phase: Property scanning
% 9.14/2.42 % (2899572)Time elapsed: 0.079 s
% 9.14/2.42 % (2899572)Peak memory usage: 94 MB
% 9.14/2.42 % (2899572)Instructions burned: 129 (million)
% 9.14/2.42 % (2899575)lrs+10_1_sil=8000:sp=occurrence:random_seed=3834324868:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.14/2.42 % (2899574)Instruction limit reached!
% 9.14/2.42 % (2899574)------------------------------
% 9.14/2.42 % (2899574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899574)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899574)Termination reason: Instruction limit
% 9.14/2.42 % (2899574)Termination phase: Property scanning
% 9.14/2.42 % (2899574)Time elapsed: 0.059 s
% 9.14/2.42 % (2899574)Peak memory usage: 91 MB
% 9.14/2.42 % (2899574)Instructions burned: 116 (million)
% 9.14/2.42 % (2899578)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1924734237:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.14/2.42 % (2899580)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=551675641:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.14/2.42 % (2899545)First to succeed.
% 9.14/2.42 % (2899545)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2899540"
% 9.14/2.42 % (2899578)Instruction limit reached!
% 9.14/2.42 % (2899578)------------------------------
% 9.14/2.42 % (2899578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.42 % (2899578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.42 % (2899578)CaDiCaL version: 2.1.3
% 9.14/2.42 % (2899578)Termination reason: Instruction limit
% 9.14/2.42 % (2899578)Termination phase: Saturation
% 9.14/2.42 % (2899578)Time elapsed: 0.267 s
% 9.14/2.42 % (2899578)Peak memory usage: 95 MB
% 9.14/2.42 % (2899578)Instructions burned: 437 (million)
% 9.14/2.42 % (2899545)Refutation found. Thanks to Tanya!
% 9.14/2.42 % SZS status Theorem for theBenchmark
% 9.14/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 10.85/2.56 % (2899545)------------------------------
% 10.85/2.56 % (2899545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.56 % (2899545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.56 % (2899545)CaDiCaL version: 2.1.3
% 10.85/2.56 % (2899545)Termination reason: Refutation
% 10.85/2.56 % (2899545)Time elapsed: 1.176 s
% 10.85/2.56 % (2899545)Peak memory usage: 213 MB
% 10.85/2.56 % (2899545)Instructions burned: 3575 (million)
% 10.85/2.56 % (2899545)------------------------------
% 10.85/2.56 % (2899545)------------------------------
% 10.85/2.56 % (2899540)Success in time 1.555 s
% 10.85/2.56 % Vampire exiting
%------------------------------------------------------------------------------