%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT312+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:46:48 AM UTC 2026
% Result : Theorem 4.52s 1.29s
% Output : Refutation 5.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 42
% Syntax : Number of formulae : 292 ( 45 unt; 16 def)
% Number of atoms : 1048 ( 136 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1249 ( 493 ~; 569 |; 123 &)
% ( 19 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 17 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-2 aty)
% Number of variables : 250 ( 0 sgn 244 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_0) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f14,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/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
=> k8_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_filter_2) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f18,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(f20,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f29,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(f30,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f31,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(f35,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f36,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f41,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/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f42,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f59,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f60,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f68,axiom,
! [X0] :
( ~ v1_xboole_0(k1_tarski(X0))
& v1_finset_1(k1_tarski(X0))
& v1_realset1(k1_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_realset1) ).
fof(f72,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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f91,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f92,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> k3_filter_2(X0,X1) = k3_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(f93,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f96,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f105,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( X2 = k6_domain_1(u1_struct_0(X0),X1)
=> k3_filter_0(X0,X2) = k2_filter_0(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_0) ).
fof(f106,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f107,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(k1_lattice2(X0)))) )
=> ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1))
& r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1))
& r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f115]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f132]) ).
fof(f134,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,[],[f14]) ).
fof(f135,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,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f138]) ).
fof(f142,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f143,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f142]) ).
fof(f146,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f155,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f156,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f158,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f31]) ).
fof(f160,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f159]) ).
fof(f164,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f165,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f170,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,[],[f41]) ).
fof(f171,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,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f172]) ).
fof(f187,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f188,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f187]) ).
fof(f189,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f190,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f189]) ).
fof(f205,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,[],[f72]) ).
fof(f206,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,[],[f205]) ).
fof(f218,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f91]) ).
fof(f219,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f92]) ).
fof(f221,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f223,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f226]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,X2) = k2_filter_0(X0,X1)
| k6_domain_1(u1_struct_0(X0),X1) != X2
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,X2) = k2_filter_0(X0,X1)
| k6_domain_1(u1_struct_0(X0),X1) != X2
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f243,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f107]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f244]) ).
fof(f252,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,sK2),k18_filter_2(sK0,sK1))
& r1_filter_2(u1_struct_0(sK0),sK2,k6_domain_1(u1_struct_0(sK0),sK1))
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f116]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f227]) ).
fof(f292,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f252]) ).
fof(f293,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f252]) ).
fof(f294,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f252]) ).
fof(f295,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f252]) ).
fof(f296,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f252]) ).
fof(f297,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f252]) ).
fof(f298,plain,
r1_filter_2(u1_struct_0(sK0),sK2,k6_domain_1(u1_struct_0(sK0),sK1)),
inference(cnf_transformation,[],[f252]) ).
fof(f299,plain,
~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,sK2),k18_filter_2(sK0,sK1)),
inference(cnf_transformation,[],[f252]) ).
fof(f318,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f319,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f133]) ).
fof(f320,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k7_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f321,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| k8_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f322,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f325,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f327,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f333,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
inference(cnf_transformation,[],[f156]) ).
fof(f334,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f335,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f160]) ).
fof(f338,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f339,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f345,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f347,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f368,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f369,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f388,plain,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[],[f68]) ).
fof(f400,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f459,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f460,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f221]) ).
fof(f461,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f466,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| X1 = X2 ),
inference(cnf_transformation,[],[f287]) ).
fof(f467,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f287]) ).
fof(f478,plain,
! [X2,X0,X1] :
( k2_filter_0(X0,X1) = k3_filter_0(X0,X2)
| k6_domain_1(u1_struct_0(X0),X1) != X2
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f480,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f481,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
| 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,[],[f245]) ).
fof(f494,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f467]) ).
fof(f495,plain,
! [X0,X1] :
( ~ m1_subset_1(k6_domain_1(u1_struct_0(X0),X1),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k6_domain_1(u1_struct_0(X0),X1))
| k2_filter_0(X0,X1) = k3_filter_0(X0,k6_domain_1(u1_struct_0(X0),X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f478]) ).
fof(f496,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f494]) ).
fof(f502,definition,
( spl32_1
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f503,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f510,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k7_filter_2(sK0,X0) = X0 ),
inference(resolution,[],[f320,f292]) ).
fof(f511,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| k7_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f510,f294]) ).
fof(f512,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k7_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f511,f293]) ).
fof(f513,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(resolution,[],[f322,f292]) ).
fof(f514,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f513,f294]) ).
fof(f515,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f514,f293]) ).
fof(f516,plain,
sK2 = k7_filter_2(sK0,sK2),
inference(resolution,[],[f512,f296]) ).
fof(f535,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(resolution,[],[f480,f292]) ).
fof(f536,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f535,f294]) ).
fof(f537,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k18_filter_2(sK0,X0) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f536,f293]) ).
fof(f538,plain,
k18_filter_2(sK0,sK1) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,sK1)),
inference(resolution,[],[f537,f295]) ).
fof(f539,plain,
k18_filter_2(sK0,sK1) = a_2_0_filter_2(sK0,sK1),
inference(resolution,[],[f515,f295]) ).
fof(f541,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k5_filter_2(sK0,X0) = X0 ),
inference(resolution,[],[f319,f292]) ).
fof(f542,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| k5_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f541,f294]) ).
fof(f543,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k5_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f542,f293]) ).
fof(f547,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m2_filter_2(k18_filter_2(sK0,X0),sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f325,f292]) ).
fof(f548,plain,
! [X0] :
( ~ v10_lattices(sK0)
| m2_filter_2(k18_filter_2(sK0,X0),sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f547,f294]) ).
fof(f549,plain,
! [X0] :
( m2_filter_2(k18_filter_2(sK0,X0),sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f548,f293]) ).
fof(f550,plain,
( v1_xboole_0(u1_struct_0(sK0))
| k6_domain_1(u1_struct_0(sK0),sK1) = k1_tarski(sK1) ),
inference(resolution,[],[f461,f295]) ).
fof(f554,plain,
sK1 = k5_filter_2(sK0,sK1),
inference(resolution,[],[f543,f295]) ).
fof(f555,plain,
k18_filter_2(sK0,sK1) = k2_filter_2(k1_lattice2(sK0),sK1),
inference(superposition,[],[f538,f554]) ).
fof(f556,plain,
a_2_0_filter_2(sK0,sK1) = k2_filter_2(k1_lattice2(sK0),sK1),
inference(forward_demodulation,[],[f555,f539]) ).
fof(f560,plain,
( v1_xboole_0(u1_struct_0(sK0))
| m1_subset_1(k6_domain_1(u1_struct_0(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f334,f295]) ).
fof(f564,plain,
l3_lattices(k1_lattice2(sK0)),
inference(resolution,[],[f327,f292]) ).
fof(f611,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0) ),
inference(resolution,[],[f564,f318]) ).
fof(f622,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| k2_filter_0(k1_lattice2(sK0),X0) = k2_filter_2(k1_lattice2(sK0),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0))) ),
inference(resolution,[],[f564,f459]) ).
fof(f623,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| k3_filter_2(k1_lattice2(sK0),X0) = k3_filter_0(k1_lattice2(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
inference(resolution,[],[f564,f460]) ).
fof(f626,definition,
( spl32_9
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl32_9])],[avatar_definition]) ).
fof(f627,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| spl32_9 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f629,definition,
( spl32_10
<=> v3_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl32_10])],[avatar_definition]) ).
fof(f630,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ spl32_10 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f636,definition,
( spl32_12
<=> ! [X0] :
( k3_filter_2(k1_lattice2(sK0),X0) = k3_filter_0(k1_lattice2(sK0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl32_12])],[avatar_definition]) ).
fof(f637,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| k3_filter_2(k1_lattice2(sK0),X0) = k3_filter_0(k1_lattice2(sK0),X0)
| v1_xboole_0(X0) )
| ~ spl32_12 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f638,plain,
( spl32_12
| ~ spl32_9
| spl32_10 ),
inference(avatar_split_clause,[],[f623,f629,f626,f636]) ).
fof(f640,definition,
( spl32_13
<=> ! [X0] :
( k2_filter_0(k1_lattice2(sK0),X0) = k2_filter_2(k1_lattice2(sK0),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl32_13])],[avatar_definition]) ).
fof(f641,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| k2_filter_0(k1_lattice2(sK0),X0) = k2_filter_2(k1_lattice2(sK0),X0) )
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( spl32_13
| ~ spl32_9
| spl32_10 ),
inference(avatar_split_clause,[],[f622,f629,f626,f640]) ).
fof(f680,definition,
( spl32_23
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl32_23])],[avatar_definition]) ).
fof(f681,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0) )
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f682,plain,
( ~ spl32_9
| spl32_10
| spl32_23 ),
inference(avatar_split_clause,[],[f611,f680,f629,f626]) ).
fof(f684,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl32_9 ),
inference(resolution,[],[f627,f400]) ).
fof(f686,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f684,f294]) ).
fof(f687,plain,
( ~ l3_lattices(sK0)
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f686,f293]) ).
fof(f688,plain,
( $false
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f687,f292]) ).
fof(f689,plain,
spl32_9,
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f702,plain,
( m2_filter_2(a_2_0_filter_2(sK0,sK1),sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(superposition,[],[f549,f539]) ).
fof(f703,plain,
m2_filter_2(a_2_0_filter_2(sK0,sK1),sK0),
inference(forward_subsumption_resolution,[],[f702,f295]) ).
fof(f711,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ spl32_10 ),
inference(resolution,[],[f630,f368]) ).
fof(f713,plain,
( ~ l3_lattices(sK0)
| ~ spl32_10 ),
inference(forward_subsumption_resolution,[],[f711,f294]) ).
fof(f714,plain,
( $false
| ~ spl32_10 ),
inference(forward_subsumption_resolution,[],[f713,f292]) ).
fof(f715,plain,
~ spl32_10,
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f720,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f335,f292]) ).
fof(f726,plain,
! [X0] :
( ~ v10_lattices(sK0)
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f720,f294]) ).
fof(f727,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
inference(forward_subsumption_resolution,[],[f726,f293]) ).
fof(f728,plain,
m1_subset_1(k7_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(resolution,[],[f727,f296]) ).
fof(f731,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f728,f516]) ).
fof(f733,plain,
( sK2 = k8_filter_2(sK0,sK2)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f731,f321]) ).
fof(f734,plain,
! [X0] :
( v1_xboole_0(sK2)
| k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f731,f481]) ).
fof(f748,definition,
( spl32_26
<=> v1_xboole_0(u1_struct_0(k1_lattice2(sK0))) ),
introduced(definition,[new_symbols(definition,[spl32_26])],[avatar_definition]) ).
fof(f749,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sK0)))
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f764,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f734,f297]) ).
fof(f765,plain,
( sK2 = k8_filter_2(sK0,sK2)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f733,f294]) ).
fof(f770,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f764,f294]) ).
fof(f771,plain,
( sK2 = k8_filter_2(sK0,sK2)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f765,f293]) ).
fof(f775,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f770,f293]) ).
fof(f776,plain,
sK2 = k8_filter_2(sK0,sK2),
inference(forward_subsumption_resolution,[],[f771,f292]) ).
fof(f780,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f775,f292]) ).
fof(f782,plain,
! [X0] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_demodulation,[],[f780,f776]) ).
fof(f785,definition,
( spl32_30
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl32_30])],[avatar_definition]) ).
fof(f786,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0) )
| ~ spl32_30 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f788,definition,
( spl32_31
<=> k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),sK2) ),
introduced(definition,[new_symbols(definition,[spl32_31])],[avatar_definition]) ).
fof(f789,plain,
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),sK2)
| ~ spl32_31 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( spl32_30
| spl32_31 ),
inference(avatar_split_clause,[],[f782,f788,f785]) ).
fof(f796,plain,
( v1_xboole_0(sK2)
| ~ spl32_30 ),
inference(resolution,[],[f786,f296]) ).
fof(f799,plain,
( $false
| ~ spl32_30 ),
inference(forward_subsumption_resolution,[],[f796,f297]) ).
fof(f800,plain,
~ spl32_30,
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f828,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f347,f345]) ).
fof(f829,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X0,X1) ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f830,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(X0,sK0) ),
inference(resolution,[],[f829,f292]) ).
fof(f836,plain,
! [X0] :
( ~ v10_lattices(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f830,f294]) ).
fof(f837,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f836,f293]) ).
fof(f840,plain,
m1_subset_1(a_2_0_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f837,f703]) ).
fof(f898,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),a_2_0_filter_2(sK0,sK1),a_2_0_filter_2(sK0,sK1)) ),
inference(resolution,[],[f840,f496]) ).
fof(f936,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| v1_xboole_0(sK2)
| ~ spl32_12 ),
inference(resolution,[],[f637,f731]) ).
fof(f937,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ spl32_12 ),
inference(forward_subsumption_resolution,[],[f936,f297]) ).
fof(f938,plain,
( k19_filter_2(sK0,sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ spl32_12
| ~ spl32_31 ),
inference(forward_demodulation,[],[f937,f789]) ).
fof(f1101,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k5_filter_2(sK0,sK1),u1_struct_0(k1_lattice2(sK0))) ),
inference(resolution,[],[f333,f295]) ).
fof(f1102,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k5_filter_2(sK0,sK1),u1_struct_0(k1_lattice2(sK0))) ),
inference(forward_subsumption_resolution,[],[f1101,f294]) ).
fof(f1103,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(k5_filter_2(sK0,sK1),u1_struct_0(k1_lattice2(sK0))) ),
inference(forward_subsumption_resolution,[],[f1102,f293]) ).
fof(f1104,plain,
m1_subset_1(k5_filter_2(sK0,sK1),u1_struct_0(k1_lattice2(sK0))),
inference(forward_subsumption_resolution,[],[f1103,f292]) ).
fof(f1105,plain,
m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0))),
inference(forward_demodulation,[],[f1104,f554]) ).
fof(f1107,plain,
( k2_filter_0(k1_lattice2(sK0),sK1) = a_2_0_filter_0(k1_lattice2(sK0),sK1)
| ~ spl32_23 ),
inference(resolution,[],[f1105,f681]) ).
fof(f1108,plain,
( k2_filter_2(k1_lattice2(sK0),sK1) = k2_filter_0(k1_lattice2(sK0),sK1)
| ~ spl32_13 ),
inference(resolution,[],[f1105,f641]) ).
fof(f1113,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sK0)))
| m1_subset_1(k6_domain_1(u1_struct_0(k1_lattice2(sK0)),sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
inference(resolution,[],[f1105,f334]) ).
fof(f1114,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sK0)))
| k1_tarski(sK1) = k6_domain_1(u1_struct_0(k1_lattice2(sK0)),sK1) ),
inference(resolution,[],[f1105,f461]) ).
fof(f1118,plain,
( a_2_0_filter_2(sK0,sK1) = k2_filter_0(k1_lattice2(sK0),sK1)
| ~ spl32_13 ),
inference(forward_demodulation,[],[f1108,f556]) ).
fof(f1156,plain,
( a_2_0_filter_2(sK0,sK1) = a_2_0_filter_0(k1_lattice2(sK0),sK1)
| ~ spl32_13
| ~ spl32_23 ),
inference(superposition,[],[f1118,f1107]) ).
fof(f1445,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f338,f339]) ).
fof(f1446,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f1445,f369]) ).
fof(f1448,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ spl32_1 ),
inference(resolution,[],[f1446,f503]) ).
fof(f1449,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl32_26 ),
inference(resolution,[],[f1446,f749]) ).
fof(f1451,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ spl32_26 ),
inference(forward_subsumption_resolution,[],[f1449,f564]) ).
fof(f1452,plain,
( ~ l3_lattices(sK0)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f1448,f294]) ).
fof(f1453,plain,
( spl32_10
| ~ spl32_26 ),
inference(avatar_split_clause,[],[f1451,f748,f629]) ).
fof(f1454,plain,
( $false
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f1452,f292]) ).
fof(f1455,plain,
~ spl32_1,
inference(avatar_contradiction_clause,[],[f1454]) ).
fof(f1469,definition,
( spl32_112
<=> k1_tarski(sK1) = k6_domain_1(u1_struct_0(k1_lattice2(sK0)),sK1) ),
introduced(definition,[new_symbols(definition,[spl32_112])],[avatar_definition]) ).
fof(f1470,plain,
( k1_tarski(sK1) = k6_domain_1(u1_struct_0(k1_lattice2(sK0)),sK1)
| ~ spl32_112 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1471,plain,
( spl32_112
| spl32_26 ),
inference(avatar_split_clause,[],[f1114,f748,f1469]) ).
fof(f1473,definition,
( spl32_113
<=> m1_subset_1(k6_domain_1(u1_struct_0(k1_lattice2(sK0)),sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl32_113])],[avatar_definition]) ).
fof(f1474,plain,
( m1_subset_1(k6_domain_1(u1_struct_0(k1_lattice2(sK0)),sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ spl32_113 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1475,plain,
( spl32_113
| spl32_26 ),
inference(avatar_split_clause,[],[f1113,f748,f1473]) ).
fof(f1485,definition,
( spl32_116
<=> k6_domain_1(u1_struct_0(sK0),sK1) = k1_tarski(sK1) ),
introduced(definition,[new_symbols(definition,[spl32_116])],[avatar_definition]) ).
fof(f1486,plain,
( k6_domain_1(u1_struct_0(sK0),sK1) = k1_tarski(sK1)
| ~ spl32_116 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1487,plain,
( spl32_116
| spl32_1 ),
inference(avatar_split_clause,[],[f550,f502,f1485]) ).
fof(f1489,definition,
( spl32_117
<=> m1_subset_1(k6_domain_1(u1_struct_0(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl32_117])],[avatar_definition]) ).
fof(f1490,plain,
( m1_subset_1(k6_domain_1(u1_struct_0(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl32_117 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f1491,plain,
( spl32_117
| spl32_1 ),
inference(avatar_split_clause,[],[f560,f502,f1489]) ).
fof(f1529,definition,
( spl32_127
<=> r1_filter_2(u1_struct_0(sK0),a_2_0_filter_2(sK0,sK1),a_2_0_filter_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl32_127])],[avatar_definition]) ).
fof(f1530,plain,
( r1_filter_2(u1_struct_0(sK0),a_2_0_filter_2(sK0,sK1),a_2_0_filter_2(sK0,sK1))
| ~ spl32_127 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1531,plain,
( spl32_127
| spl32_1 ),
inference(avatar_split_clause,[],[f898,f502,f1529]) ).
fof(f1568,plain,
( m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ spl32_112
| ~ spl32_113 ),
inference(forward_demodulation,[],[f1474,f1470]) ).
fof(f1569,plain,
( m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl32_116
| ~ spl32_117 ),
inference(forward_demodulation,[],[f1490,f1486]) ).
fof(f1570,plain,
( r1_filter_2(u1_struct_0(sK0),sK2,k1_tarski(sK1))
| ~ spl32_116 ),
inference(superposition,[],[f298,f1486]) ).
fof(f1589,plain,
( ! [X0] :
( ~ r1_filter_2(u1_struct_0(sK0),X0,k1_tarski(sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k1_tarski(sK1) = X0 )
| ~ spl32_116
| ~ spl32_117 ),
inference(resolution,[],[f1569,f466]) ).
fof(f1602,definition,
( spl32_138
<=> ! [X0] :
( ~ r1_filter_2(u1_struct_0(sK0),X0,k1_tarski(sK1))
| k1_tarski(sK1) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl32_138])],[avatar_definition]) ).
fof(f1603,plain,
( ! [X0] :
( ~ r1_filter_2(u1_struct_0(sK0),X0,k1_tarski(sK1))
| k1_tarski(sK1) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl32_138 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f1604,plain,
( spl32_1
| spl32_138
| ~ spl32_116
| ~ spl32_117 ),
inference(avatar_split_clause,[],[f1589,f1489,f1485,f1602,f502]) ).
fof(f1623,plain,
( ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(k1_tarski(sK1))
| k2_filter_0(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| ~ m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl32_112 ),
inference(superposition,[],[f495,f1470]) ).
fof(f1624,plain,
( v1_xboole_0(k1_tarski(sK1))
| k2_filter_0(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| ~ m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl32_112
| ~ spl32_113 ),
inference(forward_subsumption_resolution,[],[f1623,f1568]) ).
fof(f1625,plain,
( k2_filter_0(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| ~ m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl32_112
| ~ spl32_113 ),
inference(forward_subsumption_resolution,[],[f1624,f388]) ).
fof(f1626,plain,
( k2_filter_0(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl32_112
| ~ spl32_113 ),
inference(forward_subsumption_resolution,[],[f1625,f1105]) ).
fof(f1627,plain,
( k2_filter_0(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ spl32_112
| ~ spl32_113 ),
inference(forward_subsumption_resolution,[],[f1626,f564]) ).
fof(f1628,plain,
( a_2_0_filter_0(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ spl32_23
| ~ spl32_112
| ~ spl32_113 ),
inference(forward_demodulation,[],[f1627,f1107]) ).
fof(f1629,plain,
( a_2_0_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ spl32_13
| ~ spl32_23
| ~ spl32_112
| ~ spl32_113 ),
inference(forward_demodulation,[],[f1628,f1156]) ).
fof(f1631,definition,
( spl32_140
<=> a_2_0_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1)) ),
introduced(definition,[new_symbols(definition,[spl32_140])],[avatar_definition]) ).
fof(f1632,plain,
( a_2_0_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),k1_tarski(sK1))
| ~ spl32_140 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1633,plain,
( ~ spl32_9
| spl32_10
| spl32_140
| ~ spl32_13
| ~ spl32_23
| ~ spl32_112
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f1629,f1473,f1469,f680,f640,f1631,f629,f626]) ).
fof(f1636,plain,
( sK2 = k1_tarski(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl32_116
| ~ spl32_138 ),
inference(resolution,[],[f1603,f1570]) ).
fof(f1637,plain,
( sK2 = k1_tarski(sK1)
| ~ spl32_116
| ~ spl32_138 ),
inference(forward_subsumption_resolution,[],[f1636,f296]) ).
fof(f1643,plain,
( a_2_0_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ spl32_116
| ~ spl32_138
| ~ spl32_140 ),
inference(superposition,[],[f1632,f1637]) ).
fof(f1672,plain,
( k19_filter_2(sK0,sK2) = a_2_0_filter_2(sK0,sK1)
| ~ spl32_12
| ~ spl32_31
| ~ spl32_116
| ~ spl32_138
| ~ spl32_140 ),
inference(superposition,[],[f938,f1643]) ).
fof(f1673,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_2_0_filter_2(sK0,sK1),k18_filter_2(sK0,sK1))
| ~ spl32_12
| ~ spl32_31
| ~ spl32_116
| ~ spl32_138
| ~ spl32_140 ),
inference(superposition,[],[f299,f1672]) ).
fof(f1687,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_2_0_filter_2(sK0,sK1),a_2_0_filter_2(sK0,sK1))
| ~ spl32_12
| ~ spl32_31
| ~ spl32_116
| ~ spl32_138
| ~ spl32_140 ),
inference(forward_demodulation,[],[f1673,f539]) ).
fof(f1688,plain,
( $false
| ~ spl32_12
| ~ spl32_31
| ~ spl32_116
| ~ spl32_127
| ~ spl32_138
| ~ spl32_140 ),
inference(forward_subsumption_resolution,[],[f1687,f1530]) ).
fof(f1689,plain,
( ~ spl32_12
| ~ spl32_31
| ~ spl32_116
| ~ spl32_127
| ~ spl32_138
| ~ spl32_140 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
cnf(s8,plain,
( ~ spl32_9
| spl32_10
| spl32_12 ),
inference(sat_conversion,[],[f638]) ).
cnf(s9,plain,
( ~ spl32_9
| spl32_10
| spl32_13 ),
inference(sat_conversion,[],[f642]) ).
cnf(s19,plain,
( ~ spl32_9
| spl32_10
| spl32_23 ),
inference(sat_conversion,[],[f682]) ).
cnf(s21,plain,
spl32_9,
inference(sat_conversion,[],[f689]) ).
cnf(s23,plain,
~ spl32_10,
inference(sat_conversion,[],[f715]) ).
cnf(s29,plain,
( spl32_30
| spl32_31 ),
inference(sat_conversion,[],[f790]) ).
cnf(s32,plain,
~ spl32_30,
inference(sat_conversion,[],[f800]) ).
cnf(s113,plain,
( spl32_10
| ~ spl32_26 ),
inference(sat_conversion,[],[f1453]) ).
cnf(s114,plain,
~ spl32_1,
inference(sat_conversion,[],[f1455]) ).
cnf(s118,plain,
( spl32_26
| spl32_112 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s119,plain,
( spl32_26
| spl32_113 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s122,plain,
( spl32_1
| spl32_116 ),
inference(sat_conversion,[],[f1487]) ).
cnf(s123,plain,
( spl32_1
| spl32_117 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s133,plain,
( spl32_1
| spl32_127 ),
inference(sat_conversion,[],[f1531]) ).
cnf(s144,plain,
( spl32_1
| ~ spl32_116
| ~ spl32_117
| spl32_138 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s146,plain,
( ~ spl32_9
| spl32_10
| ~ spl32_13
| ~ spl32_23
| ~ spl32_112
| ~ spl32_113
| spl32_140 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s148,plain,
( ~ spl32_12
| ~ spl32_31
| ~ spl32_116
| ~ spl32_127
| ~ spl32_138
| ~ spl32_140 ),
inference(sat_conversion,[],[f1689]) ).
cnf(s152,plain,
spl32_127,
inference(rat,[],[s133,s114]) ).
cnf(s162,plain,
spl32_117,
inference(rat,[],[s123,s114]) ).
cnf(s163,plain,
spl32_116,
inference(rat,[],[s122,s114]) ).
cnf(s166,plain,
spl32_138,
inference(rat,[],[s144,s162,s114,s163]) ).
cnf(s189,plain,
spl32_31,
inference(rat,[],[s29,s32]) ).
cnf(s190,plain,
~ spl32_26,
inference(rat,[],[s113,s23]) ).
cnf(s193,plain,
spl32_113,
inference(rat,[],[s119,s190]) ).
cnf(s194,plain,
spl32_112,
inference(rat,[],[s118,s190]) ).
cnf(s236,plain,
spl32_23,
inference(rat,[],[s19,s23,s21]) ).
cnf(s250,plain,
spl32_13,
inference(rat,[],[s9,s23,s21]) ).
cnf(s251,plain,
spl32_140,
inference(rat,[],[s146,s236,s193,s194,s21,s23,s250]) ).
cnf(s255,plain,
~ spl32_12,
inference(rat,[],[s148,s189,s166,s152,s163,s251]) ).
cnf(s256,plain,
$false,
inference(rat,[],[s8,s255,s23,s21]) ).
fof(f1690,plain,
$false,
inference(avatar_sat_refutation,[],[s256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT312+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 14:28:34 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.52/1.29 % (2434067)Detected formulas, will run a generic FOF schedule.
% 4.52/1.29 % (2434072)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=3480416153:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.52/1.29 % (2434077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3579251664:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.52/1.29 % (2434074)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=75959516:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.52/1.29 % (2434076)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=333806910:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.52/1.29 % (2434078)dis-21_1_sil=8000:lcm=predicate:random_seed=770020253:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.52/1.29 % (2434075)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1473740261:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.52/1.29 % (2434073)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=1434586110:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.52/1.29 % (2434075)Refutation not found, incomplete strategy
% 4.52/1.29 % (2434075)------------------------------
% 4.52/1.29 % (2434075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434075)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434075)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.29 % (2434075)Time elapsed: 0.002 s
% 4.52/1.29 % (2434075)Peak memory usage: 88 MB
% 4.52/1.29 % (2434075)Instructions burned: 3 (million)
% 4.52/1.29 % (2434078)Instruction limit reached!
% 4.52/1.29 % (2434078)------------------------------
% 4.52/1.29 % (2434078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434078)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434078)Termination reason: Instruction limit
% 4.52/1.29 % (2434078)Termination phase: Saturation
% 4.52/1.29 % (2434078)Time elapsed: 0.038 s
% 4.52/1.29 % (2434078)Peak memory usage: 91 MB
% 4.52/1.29 % (2434078)Instructions burned: 130 (million)
% 4.52/1.29 % (2434076)Instruction limit reached!
% 4.52/1.29 % (2434076)------------------------------
% 4.52/1.29 % (2434076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434076)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434076)Termination reason: Instruction limit
% 4.52/1.29 % (2434076)Termination phase: Saturation
% 4.52/1.29 % (2434076)Time elapsed: 0.038 s
% 4.52/1.29 % (2434076)Peak memory usage: 88 MB
% 4.52/1.29 % (2434076)Instructions burned: 119 (million)
% 4.52/1.29 % (2434077)Instruction limit reached!
% 4.52/1.29 % (2434077)------------------------------
% 4.52/1.29 % (2434077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434077)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434077)Termination reason: Instruction limit
% 4.52/1.29 % (2434077)Termination phase: Saturation
% 4.52/1.29 % (2434077)Time elapsed: 0.051 s
% 4.52/1.29 % (2434077)Peak memory usage: 90 MB
% 4.52/1.29 % (2434077)Instructions burned: 141 (million)
% 4.52/1.29 % (2434075)------------------------------
% 4.52/1.29 % (2434075)------------------------------
% 4.52/1.29 % (2434088)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2558723112:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.52/1.29 % (2434087)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3741607160:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.52/1.29 % (2434086)lrs+10_1_sil=8000:sp=occurrence:random_seed=1455382361:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.52/1.29 % (2434088)Refutation not found, incomplete strategy
% 4.52/1.29 % (2434088)------------------------------
% 4.52/1.29 % (2434088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434088)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434088)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.29 % (2434088)Time elapsed: 0.009 s
% 4.52/1.29 % (2434088)Peak memory usage: 88 MB
% 4.52/1.29 % (2434088)Instructions burned: 22 (million)
% 4.52/1.29 % (2434087)Instruction limit reached!
% 4.52/1.29 % (2434087)------------------------------
% 4.52/1.29 % (2434087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434087)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434087)Termination reason: Instruction limit
% 4.52/1.29 % (2434087)Termination phase: Saturation
% 4.52/1.29 % (2434087)Time elapsed: 0.052 s
% 4.52/1.29 % (2434087)Peak memory usage: 89 MB
% 4.52/1.29 % (2434087)Instructions burned: 158 (million)
% 4.52/1.29 % (2434086)Instruction limit reached!
% 4.52/1.29 % (2434086)------------------------------
% 4.52/1.29 % (2434086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434086)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434086)Termination reason: Instruction limit
% 4.52/1.29 % (2434086)Termination phase: Saturation
% 4.52/1.29 % (2434086)Time elapsed: 0.096 s
% 4.52/1.29 % (2434086)Peak memory usage: 92 MB
% 4.52/1.29 % (2434086)Instructions burned: 286 (million)
% 4.52/1.29 % (2434089)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=1868504610:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.52/1.29 % (2434088)------------------------------
% 4.52/1.29 % (2434088)------------------------------
% 4.52/1.29 % (2434093)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4006589820:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.52/1.29 % (2434089)Instruction limit reached!
% 4.52/1.29 % (2434089)------------------------------
% 4.52/1.29 % (2434089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434089)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434089)Termination reason: Instruction limit
% 4.52/1.29 % (2434089)Termination phase: Saturation
% 4.52/1.29 % (2434089)Time elapsed: 0.081 s
% 4.52/1.29 % (2434089)Peak memory usage: 90 MB
% 4.52/1.29 % (2434089)Instructions burned: 250 (million)
% 4.52/1.29 % (2434094)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=122292724:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.52/1.29 % (2434073)First to succeed.
% 4.52/1.29 % (2434073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2434067"
% 4.52/1.29 % (2434093)Instruction limit reached!
% 4.52/1.29 % (2434093)------------------------------
% 4.52/1.29 % (2434093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434093)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434093)Termination reason: Instruction limit
% 4.52/1.29 % (2434093)Termination phase: Saturation
% 4.52/1.29 % (2434093)Time elapsed: 0.086 s
% 4.52/1.29 % (2434093)Peak memory usage: 92 MB
% 4.52/1.29 % (2434093)Instructions burned: 295 (million)
% 4.52/1.29 % (2434096)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=376121710:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.52/1.29 % (2434098)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3186804679:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.52/1.29 % (2434096)Instruction limit reached!
% 4.52/1.29 % (2434096)------------------------------
% 4.52/1.29 % (2434096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434096)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434096)Termination reason: Instruction limit
% 4.52/1.29 % (2434096)Termination phase: Saturation
% 4.52/1.29 % (2434096)Time elapsed: 0.043 s
% 4.52/1.29 % (2434096)Peak memory usage: 91 MB
% 4.52/1.29 % (2434096)Instructions burned: 114 (million)
% 4.52/1.29 % (2434074)Also succeeded, but the first one will report.
% 4.52/1.29 % (2434098)Instruction limit reached!
% 4.52/1.29 % (2434098)------------------------------
% 4.52/1.29 % (2434098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.29 % (2434098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.29 % (2434098)CaDiCaL version: 2.1.3
% 4.52/1.29 % (2434098)Termination reason: Instruction limit
% 4.52/1.29 % (2434098)Termination phase: Saturation
% 4.52/1.29 % (2434098)Time elapsed: 0.037 s
% 4.52/1.29 % (2434098)Peak memory usage: 89 MB
% 4.52/1.29 % (2434098)Instructions burned: 131 (million)
% 4.52/1.29 % (2434100)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=354058664:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.52/1.29 % (2434073)Refutation found. Thanks to Tanya!
% 4.52/1.29 % SZS status Theorem for theBenchmark
% 4.52/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 5.43/1.38 % (2434073)------------------------------
% 5.43/1.38 % (2434073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.38 % (2434073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.38 % (2434073)CaDiCaL version: 2.1.3
% 5.43/1.38 % (2434073)Termination reason: Refutation
% 5.43/1.38 % (2434073)Time elapsed: 0.443 s
% 5.43/1.38 % (2434073)Peak memory usage: 131 MB
% 5.43/1.38 % (2434073)Instructions burned: 1165 (million)
% 5.43/1.38 % (2434073)------------------------------
% 5.43/1.38 % (2434073)------------------------------
% 5.43/1.38 % (2434067)Success in time 0.75 s
% 5.43/1.38 % Vampire exiting
%------------------------------------------------------------------------------