%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT328+3 : 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 : n014.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 11:46:59 AM UTC 2026
% Result : Theorem 17.17s 6.62s
% Output : Refutation 41.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 37
% Syntax : Number of formulae : 282 ( 29 unt; 10 def)
% Number of atoms : 1376 ( 107 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1814 ( 720 ~; 843 |; 181 &)
% ( 27 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 10 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 427 ( 0 sgn 418 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = k2_tarski(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f2211,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(f2212,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(f6650,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f6709,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_lattices(X0,X1,X2)
& r1_lattices(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
fof(f6742,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f6748,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f9358,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(f9363,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(f9391,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/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9463,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(f12317,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(f13532,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(f13536,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(f13571,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f13611,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f13614,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_filter_2) ).
fof(f13616,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_filter_2) ).
fof(f13658,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f13659,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
fof(f13660,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_filter_2) ).
fof(f13661,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
inference(negated_conjecture,[status(cth)],[f13660]) ).
fof(f13795,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),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(ennf_transformation,[],[f13661]) ).
fof(f13796,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),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(flattening,[],[f13795]) ).
fof(f13798,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f13799,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f13798]) ).
fof(f13802,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f13838,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f2212]) ).
fof(f13839,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f13838]) ).
fof(f13840,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,[],[f2211]) ).
fof(f13841,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,[],[f13840]) ).
fof(f13861,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,[],[f13536]) ).
fof(f13862,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,[],[f13861]) ).
fof(f13867,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,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,[],[f13659]) ).
fof(f13868,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13867]) ).
fof(f13869,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,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,[],[f13658]) ).
fof(f13870,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13869]) ).
fof(f13871,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13571]) ).
fof(f13872,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f13871]) ).
fof(f13886,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f13957,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13611]) ).
fof(f13958,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13957]) ).
fof(f13973,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,[],[f13532]) ).
fof(f13974,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,[],[f13973]) ).
fof(f15207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,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,[],[f13616]) ).
fof(f15208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15207]) ).
fof(f15211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,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,[],[f13614]) ).
fof(f15212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15211]) ).
fof(f15253,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f6748]) ).
fof(f15254,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f15253]) ).
fof(f15269,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,[],[f12317]) ).
fof(f15270,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,[],[f15269]) ).
fof(f15388,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,[],[f9391]) ).
fof(f15389,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,[],[f15388]) ).
fof(f15600,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f15605,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,[],[f9363]) ).
fof(f15606,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,[],[f15605]) ).
fof(f15607,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f15608,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15607]) ).
fof(f15703,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f6709]) ).
fof(f15704,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f15703]) ).
fof(f15711,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6650]) ).
fof(f15712,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15711]) ).
fof(f15776,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6742]) ).
fof(f20321,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)) )
| ~ sP44(X0) ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f20322,plain,
! [X0] :
( sP44(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f15606,f20321]) ).
fof(f20540,plain,
( ~ r1_filter_2(u1_struct_0(sK177),k22_filter_2(sK177,sK178,sK178),k6_domain_1(u1_struct_0(sK177),sK178))
& m1_subset_1(sK178,u1_struct_0(sK177))
& ~ v3_struct_0(sK177)
& v10_lattices(sK177)
& l3_lattices(sK177) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK177,sK178]),skolemize(X0,sK177),skolemize(X1,sK178)],[f13796]) ).
fof(f20565,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,[],[f13862]) ).
fof(f20566,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13870]) ).
fof(f20567,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20566]) ).
fof(f20578,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f13886]) ).
fof(f20579,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f20578]) ).
fof(f20580,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK195(X0,X1),X1)
& r2_hidden(sK195(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK195]),skolemize(X2,sK195(X0,X1))],[f20579]) ).
fof(f20592,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f20676,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f20677,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f20676]) ).
fof(f21034,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2) )
& ( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f15212]) ).
fof(f21045,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(nnf_transformation,[],[f15254]) ).
fof(f21155,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)) )
| ~ sP44(X0) ),
inference(nnf_transformation,[],[f20321]) ).
fof(f22060,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ r2_hidden(X3,X2) )
& ( X3 = X0
| X3 = X1
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ r2_hidden(X3,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f22061,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ r2_hidden(X3,X2) )
& ( X3 = X0
| X3 = X1
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ r2_hidden(X3,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(flattening,[],[f22060]) ).
fof(f22062,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ r2_hidden(X3,X2) )
& ( X3 = X0
| X3 = X1
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ r2_hidden(X4,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(rectify,[],[f22061]) ).
fof(f22063,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ( ( ( sK982(X0,X1,X2) != X0
& sK982(X0,X1,X2) != X1 )
| ~ r2_hidden(sK982(X0,X1,X2),X2) )
& ( sK982(X0,X1,X2) = X0
| sK982(X0,X1,X2) = X1
| r2_hidden(sK982(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ r2_hidden(X4,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK982]),skolemize(X3,sK982(X0,X1,X2))],[f22062]) ).
fof(f22800,plain,
l3_lattices(sK177),
inference(cnf_transformation,[],[f20540]) ).
fof(f22801,plain,
v10_lattices(sK177),
inference(cnf_transformation,[],[f20540]) ).
fof(f22802,plain,
~ v3_struct_0(sK177),
inference(cnf_transformation,[],[f20540]) ).
fof(f22803,plain,
m1_subset_1(sK178,u1_struct_0(sK177)),
inference(cnf_transformation,[],[f20540]) ).
fof(f22804,plain,
~ r1_filter_2(u1_struct_0(sK177),k22_filter_2(sK177,sK178,sK178),k6_domain_1(u1_struct_0(sK177),sK178)),
inference(cnf_transformation,[],[f20540]) ).
fof(f22806,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f13799]) ).
fof(f22808,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13802]) ).
fof(f22845,plain,
! [X0,X1] :
( k1_tarski(X1) = k6_domain_1(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f13839]) ).
fof(f22846,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(cnf_transformation,[],[f13841]) ).
fof(f22871,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,[],[f20565]) ).
fof(f22874,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,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,[],[f13868]) ).
fof(f22876,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,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,[],[f20567]) ).
fof(f22877,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,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,[],[f20567]) ).
fof(f22879,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13872]) ).
fof(f22880,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13872]) ).
fof(f22903,plain,
! [X0,X1] :
( r2_hidden(sK195(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f20580]) ).
fof(f22904,plain,
! [X0,X1] :
( ~ r2_hidden(sK195(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f20580]) ).
fof(f22950,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f20592]) ).
fof(f23038,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13958]) ).
fof(f23072,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,[],[f13974]) ).
fof(f23353,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f20677]) ).
fof(f24573,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f24706,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X1,k18_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15208]) ).
fof(f24709,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,k18_filter_2(X0,X2))
| r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,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,[],[f21034]) ).
fof(f24757,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f21045]) ).
fof(f24780,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(cnf_transformation,[],[f15270]) ).
fof(f24923,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f15389]) ).
fof(f25308,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15600]) ).
fof(f25313,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP44(X0) ),
inference(cnf_transformation,[],[f21155]) ).
fof(f25322,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP44(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20322]) ).
fof(f25324,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15608]) ).
fof(f25453,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f15704]) ).
fof(f25477,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15712]) ).
fof(f25478,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15712]) ).
fof(f25480,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15712]) ).
fof(f25482,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15712]) ).
fof(f25574,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f15776]) ).
fof(f28839,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| X1 != X4
| k2_tarski(X0,X1) != X2 ),
inference(cnf_transformation,[],[f22063]) ).
fof(f32015,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f22845,f24573]) ).
fof(f33446,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,[],[f22871]) ).
fof(f33925,plain,
! [X2,X0,X4] :
( r2_hidden(X4,X2)
| k2_tarski(X0,X4) != X2 ),
inference(equality_resolution,[],[f28839]) ).
fof(f33926,plain,
! [X0,X4] : r2_hidden(X4,k2_tarski(X0,X4)),
inference(equality_resolution,[],[f33925]) ).
fof(f34345,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,[],[f33446]) ).
fof(f35243,plain,
( v3_struct_0(sK177)
| u1_struct_0(sK177) = u1_struct_0(k1_lattice2(sK177)) ),
inference(resolution,[],[f24923,f22800]) ).
fof(f35245,plain,
u1_struct_0(sK177) = u1_struct_0(k1_lattice2(sK177)),
inference(forward_subsumption_resolution,[],[f35243,f22802]) ).
fof(f35251,definition,
( spl1381_24
<=> l3_lattices(k1_lattice2(sK177)) ),
introduced(definition,[new_symbols(definition,[spl1381_24])],[avatar_definition]) ).
fof(f35252,plain,
( l3_lattices(k1_lattice2(sK177))
| ~ spl1381_24 ),
inference(avatar_component_clause,[],[f35251]) ).
fof(f35253,plain,
( ~ l3_lattices(k1_lattice2(sK177))
| spl1381_24 ),
inference(avatar_component_clause,[],[f35251]) ).
fof(f35255,definition,
( spl1381_25
<=> v10_lattices(k1_lattice2(sK177)) ),
introduced(definition,[new_symbols(definition,[spl1381_25])],[avatar_definition]) ).
fof(f35256,plain,
( v10_lattices(k1_lattice2(sK177))
| ~ spl1381_25 ),
inference(avatar_component_clause,[],[f35255]) ).
fof(f35257,plain,
( ~ v10_lattices(k1_lattice2(sK177))
| spl1381_25 ),
inference(avatar_component_clause,[],[f35255]) ).
fof(f35259,definition,
( spl1381_26
<=> v3_struct_0(k1_lattice2(sK177)) ),
introduced(definition,[new_symbols(definition,[spl1381_26])],[avatar_definition]) ).
fof(f35260,plain,
( ~ v3_struct_0(k1_lattice2(sK177))
| spl1381_26 ),
inference(avatar_component_clause,[],[f35259]) ).
fof(f35261,plain,
( v3_struct_0(k1_lattice2(sK177))
| ~ spl1381_26 ),
inference(avatar_component_clause,[],[f35259]) ).
fof(f35279,plain,
( ~ l3_lattices(sK177)
| spl1381_24 ),
inference(resolution,[],[f35253,f25308]) ).
fof(f35280,plain,
( $false
| spl1381_24 ),
inference(forward_subsumption_resolution,[],[f35279,f22800]) ).
fof(f35281,plain,
spl1381_24,
inference(avatar_contradiction_clause,[],[f35280]) ).
fof(f35289,plain,
( v3_struct_0(sK177)
| ~ l3_lattices(sK177)
| ~ spl1381_26 ),
inference(resolution,[],[f35261,f25324]) ).
fof(f35290,plain,
( ~ l3_lattices(sK177)
| ~ spl1381_26 ),
inference(forward_subsumption_resolution,[],[f35289,f22802]) ).
fof(f35291,plain,
( $false
| ~ spl1381_26 ),
inference(forward_subsumption_resolution,[],[f35290,f22800]) ).
fof(f35292,plain,
~ spl1381_26,
inference(avatar_contradiction_clause,[],[f35291]) ).
fof(f35294,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| r1_filter_2(X0,k6_domain_1(X0,X1),k6_domain_1(X0,X1))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(resolution,[],[f34345,f22846]) ).
fof(f35297,plain,
! [X0,X1] :
( r1_filter_2(X0,k6_domain_1(X0,X1),k6_domain_1(X0,X1))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(duplicate_literal_removal,[],[f35294]) ).
fof(f35336,plain,
( ~ sP44(sK177)
| spl1381_25 ),
inference(resolution,[],[f25313,f35257]) ).
fof(f35345,definition,
( spl1381_38
<=> v1_xboole_0(u1_struct_0(sK177)) ),
introduced(definition,[new_symbols(definition,[spl1381_38])],[avatar_definition]) ).
fof(f35347,plain,
( ~ v1_xboole_0(u1_struct_0(sK177))
| spl1381_38 ),
inference(avatar_component_clause,[],[f35345]) ).
fof(f35363,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f23072,f23038]) ).
fof(f35364,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f35363]) ).
fof(f35365,plain,
( ~ v1_xboole_0(u1_struct_0(sK177))
| v3_struct_0(k1_lattice2(sK177))
| ~ v10_lattices(k1_lattice2(sK177))
| ~ l3_lattices(k1_lattice2(sK177)) ),
inference(superposition,[],[f35364,f35245]) ).
fof(f35373,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK177,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177) ),
inference(resolution,[],[f24706,f22803]) ).
fof(f35375,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK177,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK177))
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177) ),
inference(forward_subsumption_resolution,[],[f35373,f22802]) ).
fof(f35376,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK177,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK177))
| ~ l3_lattices(sK177) ),
inference(forward_subsumption_resolution,[],[f35375,f22801]) ).
fof(f35377,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK177,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK177)) ),
inference(forward_subsumption_resolution,[],[f35376,f22800]) ).
fof(f35378,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK177))
| r3_lattices(sK177,X0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK177))
| ~ m1_subset_1(X0,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177) ),
inference(resolution,[],[f35377,f24709]) ).
fof(f35379,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK177))
| r3_lattices(sK177,X0,X0)
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177) ),
inference(duplicate_literal_removal,[],[f35378]) ).
fof(f35380,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK177))
| r3_lattices(sK177,X0,X0)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177) ),
inference(forward_subsumption_resolution,[],[f35379,f22802]) ).
fof(f35381,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK177))
| r3_lattices(sK177,X0,X0)
| ~ l3_lattices(sK177) ),
inference(forward_subsumption_resolution,[],[f35380,f22801]) ).
fof(f35382,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK177))
| r3_lattices(sK177,X0,X0) ),
inference(forward_subsumption_resolution,[],[f35381,f22800]) ).
fof(f35390,plain,
r3_lattices(sK177,sK178,sK178),
inference(resolution,[],[f35382,f22803]) ).
fof(f35393,plain,
( v3_struct_0(sK177)
| sP44(sK177)
| ~ l3_lattices(sK177) ),
inference(resolution,[],[f25322,f22801]) ).
fof(f35398,plain,
( sP44(sK177)
| ~ l3_lattices(sK177) ),
inference(forward_subsumption_resolution,[],[f35393,f22802]) ).
fof(f35399,plain,
( ~ l3_lattices(sK177)
| spl1381_25 ),
inference(forward_subsumption_resolution,[],[f35398,f35336]) ).
fof(f35400,plain,
( $false
| spl1381_25 ),
inference(forward_subsumption_resolution,[],[f35399,f22800]) ).
fof(f35401,plain,
spl1381_25,
inference(avatar_contradiction_clause,[],[f35400]) ).
fof(f35406,plain,
( ~ v1_xboole_0(u1_struct_0(sK177))
| ~ v10_lattices(k1_lattice2(sK177))
| ~ l3_lattices(k1_lattice2(sK177))
| spl1381_26 ),
inference(forward_subsumption_resolution,[],[f35365,f35260]) ).
fof(f35415,plain,
( ~ v1_xboole_0(u1_struct_0(sK177))
| ~ l3_lattices(k1_lattice2(sK177))
| ~ spl1381_25
| spl1381_26 ),
inference(forward_subsumption_resolution,[],[f35406,f35256]) ).
fof(f35423,plain,
( ~ v1_xboole_0(u1_struct_0(sK177))
| ~ spl1381_24
| ~ spl1381_25
| spl1381_26 ),
inference(forward_subsumption_resolution,[],[f35415,f35252]) ).
fof(f35427,plain,
( ~ spl1381_38
| ~ spl1381_24
| ~ spl1381_25
| spl1381_26 ),
inference(avatar_split_clause,[],[f35423,f35259,f35255,f35251,f35345]) ).
fof(f35699,plain,
( v1_xboole_0(u1_struct_0(sK177))
| k6_domain_1(u1_struct_0(sK177),sK178) = k2_tarski(sK178,sK178) ),
inference(resolution,[],[f32015,f22803]) ).
fof(f35710,plain,
( k6_domain_1(u1_struct_0(sK177),sK178) = k2_tarski(sK178,sK178)
| spl1381_38 ),
inference(forward_subsumption_resolution,[],[f35699,f35347]) ).
fof(f35715,plain,
( r1_filter_2(u1_struct_0(sK177),k2_tarski(sK178,sK178),k2_tarski(sK178,sK178))
| v1_xboole_0(u1_struct_0(sK177))
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| spl1381_38 ),
inference(superposition,[],[f35297,f35710]) ).
fof(f35718,plain,
( r1_filter_2(u1_struct_0(sK177),k2_tarski(sK178,sK178),k2_tarski(sK178,sK178))
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| spl1381_38 ),
inference(forward_subsumption_resolution,[],[f35715,f35347]) ).
fof(f35723,plain,
( r1_filter_2(u1_struct_0(sK177),k2_tarski(sK178,sK178),k2_tarski(sK178,sK178))
| spl1381_38 ),
inference(forward_subsumption_resolution,[],[f35718,f22803]) ).
fof(f35764,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(sK195(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| r3_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f22903,f22877]) ).
fof(f35765,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(sK195(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| r3_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f22903,f22876]) ).
fof(f35835,plain,
! [X2,X0,X1] :
( ~ m2_lattice4(X1,X2)
| m1_subset_1(X0,u1_struct_0(X2))
| ~ r2_hidden(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f22806,f24780]) ).
fof(f35857,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(resolution,[],[f35835,f22879]) ).
fof(f35860,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(duplicate_literal_removal,[],[f35857]) ).
fof(f35943,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k22_filter_2(X1,X2,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f22808,f22874]) ).
fof(f35952,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(k22_filter_2(X0,X1,X2))
| k2_tarski(X2,X2) = k6_domain_1(k22_filter_2(X0,X1,X2),X2) ),
inference(resolution,[],[f35943,f32015]) ).
fof(f35953,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k2_tarski(X2,X2) = k6_domain_1(k22_filter_2(X0,X1,X2),X2) ),
inference(forward_subsumption_resolution,[],[f35952,f22880]) ).
fof(f36001,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK195(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3) ),
inference(resolution,[],[f35860,f22903]) ).
fof(f36005,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| r3_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f36001,f35764]) ).
fof(f36006,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| r3_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f36001,f35765]) ).
fof(f36020,plain,
! [X2,X3,X0,X1] :
( r3_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f36006]) ).
fof(f36021,plain,
! [X2,X3,X0,X1] :
( r3_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f36005]) ).
fof(f36033,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(sK195(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(resolution,[],[f36020,f24757]) ).
fof(f36040,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ m1_subset_1(sK195(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f36033]) ).
fof(f36044,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36040,f36001]) ).
fof(f36046,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36044,f25480]) ).
fof(f36047,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36046,f25478]) ).
fof(f36048,plain,
! [X2,X3,X0,X1] :
( r1_lattices(X0,sK195(k22_filter_2(X0,X1,X2),X3),X2)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36047,f25477]) ).
fof(f36049,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(sK195(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0)) ),
inference(resolution,[],[f36021,f24757]) ).
fof(f36056,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ m1_subset_1(sK195(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f36049]) ).
fof(f36058,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36056,f36001]) ).
fof(f36059,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ v8_lattices(X0)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36058,f25480]) ).
fof(f36060,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36059,f25478]) ).
fof(f36061,plain,
! [X2,X3,X0,X1] :
( r1_lattices(X0,X1,sK195(k22_filter_2(X0,X1,X2),X3))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36060,f25477]) ).
fof(f36326,plain,
( ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| k2_tarski(sK178,sK178) = k6_domain_1(k22_filter_2(sK177,sK178,sK178),sK178) ),
inference(resolution,[],[f35953,f35390]) ).
fof(f36334,plain,
( ~ m1_subset_1(sK178,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| k2_tarski(sK178,sK178) = k6_domain_1(k22_filter_2(sK177,sK178,sK178),sK178) ),
inference(duplicate_literal_removal,[],[f36326]) ).
fof(f36339,plain,
( v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| k2_tarski(sK178,sK178) = k6_domain_1(k22_filter_2(sK177,sK178,sK178),sK178) ),
inference(forward_subsumption_resolution,[],[f36334,f22803]) ).
fof(f36341,plain,
( ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| k2_tarski(sK178,sK178) = k6_domain_1(k22_filter_2(sK177,sK178,sK178),sK178) ),
inference(forward_subsumption_resolution,[],[f36339,f22802]) ).
fof(f36343,plain,
( ~ l3_lattices(sK177)
| k2_tarski(sK178,sK178) = k6_domain_1(k22_filter_2(sK177,sK178,sK178),sK178) ),
inference(forward_subsumption_resolution,[],[f36341,f22801]) ).
fof(f36346,plain,
k2_tarski(sK178,sK178) = k6_domain_1(k22_filter_2(sK177,sK178,sK178),sK178),
inference(forward_subsumption_resolution,[],[f36343,f22800]) ).
fof(f36350,plain,
( m1_subset_1(k2_tarski(sK178,sK178),k1_zfmisc_1(k22_filter_2(sK177,sK178,sK178)))
| v1_xboole_0(k22_filter_2(sK177,sK178,sK178))
| ~ m1_subset_1(sK178,k22_filter_2(sK177,sK178,sK178)) ),
inference(superposition,[],[f22846,f36346]) ).
fof(f36352,definition,
( spl1381_77
<=> m1_subset_1(sK178,k22_filter_2(sK177,sK178,sK178)) ),
introduced(definition,[new_symbols(definition,[spl1381_77])],[avatar_definition]) ).
fof(f36354,plain,
( ~ m1_subset_1(sK178,k22_filter_2(sK177,sK178,sK178))
| spl1381_77 ),
inference(avatar_component_clause,[],[f36352]) ).
fof(f36356,definition,
( spl1381_78
<=> v1_xboole_0(k22_filter_2(sK177,sK178,sK178)) ),
introduced(definition,[new_symbols(definition,[spl1381_78])],[avatar_definition]) ).
fof(f36358,plain,
( v1_xboole_0(k22_filter_2(sK177,sK178,sK178))
| ~ spl1381_78 ),
inference(avatar_component_clause,[],[f36356]) ).
fof(f36360,definition,
( spl1381_79
<=> m1_subset_1(k2_tarski(sK178,sK178),k1_zfmisc_1(k22_filter_2(sK177,sK178,sK178))) ),
introduced(definition,[new_symbols(definition,[spl1381_79])],[avatar_definition]) ).
fof(f36362,plain,
( m1_subset_1(k2_tarski(sK178,sK178),k1_zfmisc_1(k22_filter_2(sK177,sK178,sK178)))
| ~ spl1381_79 ),
inference(avatar_component_clause,[],[f36360]) ).
fof(f36363,plain,
( ~ spl1381_77
| spl1381_78
| spl1381_79 ),
inference(avatar_split_clause,[],[f36350,f36360,f36356,f36352]) ).
fof(f36369,plain,
( ~ r3_lattices(sK177,sK178,sK178)
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| spl1381_77 ),
inference(resolution,[],[f36354,f35943]) ).
fof(f36374,plain,
( ~ r3_lattices(sK177,sK178,sK178)
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| spl1381_77 ),
inference(duplicate_literal_removal,[],[f36369]) ).
fof(f36377,plain,
( ~ m1_subset_1(sK178,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| spl1381_77 ),
inference(forward_subsumption_resolution,[],[f36374,f35382]) ).
fof(f36380,plain,
( v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| spl1381_77 ),
inference(forward_subsumption_resolution,[],[f36377,f22803]) ).
fof(f36383,plain,
( ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| spl1381_77 ),
inference(forward_subsumption_resolution,[],[f36380,f22802]) ).
fof(f36386,plain,
( ~ l3_lattices(sK177)
| spl1381_77 ),
inference(forward_subsumption_resolution,[],[f36383,f22801]) ).
fof(f36391,plain,
( $false
| spl1381_77 ),
inference(forward_subsumption_resolution,[],[f36386,f22800]) ).
fof(f36392,plain,
spl1381_77,
inference(avatar_contradiction_clause,[],[f36391]) ).
fof(f36393,plain,
( v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ spl1381_78 ),
inference(resolution,[],[f36358,f22880]) ).
fof(f36394,plain,
( v3_struct_0(sK177)
| ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ spl1381_78 ),
inference(duplicate_literal_removal,[],[f36393]) ).
fof(f36395,plain,
( ~ v10_lattices(sK177)
| ~ l3_lattices(sK177)
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ spl1381_78 ),
inference(forward_subsumption_resolution,[],[f36394,f22802]) ).
fof(f36396,plain,
( ~ l3_lattices(sK177)
| ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ spl1381_78 ),
inference(forward_subsumption_resolution,[],[f36395,f22801]) ).
fof(f36397,plain,
( ~ m1_subset_1(sK178,u1_struct_0(sK177))
| ~ spl1381_78 ),
inference(forward_subsumption_resolution,[],[f36396,f22800]) ).
fof(f36398,plain,
( $false
| ~ spl1381_78 ),
inference(forward_subsumption_resolution,[],[f36397,f22803]) ).
fof(f36399,plain,
~ spl1381_78,
inference(avatar_contradiction_clause,[],[f36398]) ).
fof(f36908,definition,
( spl1381_92
<=> r1_tarski(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178)) ),
introduced(definition,[new_symbols(definition,[spl1381_92])],[avatar_definition]) ).
fof(f36910,plain,
( ~ r1_tarski(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| spl1381_92 ),
inference(avatar_component_clause,[],[f36908]) ).
fof(f37618,plain,
( r1_tarski(k2_tarski(sK178,sK178),k22_filter_2(sK177,sK178,sK178))
| ~ spl1381_79 ),
inference(resolution,[],[f22950,f36362]) ).
fof(f37624,plain,
( ~ r1_tarski(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| k22_filter_2(sK177,sK178,sK178) = k2_tarski(sK178,sK178)
| ~ spl1381_79 ),
inference(resolution,[],[f37618,f23353]) ).
fof(f37627,definition,
( spl1381_110
<=> k22_filter_2(sK177,sK178,sK178) = k2_tarski(sK178,sK178) ),
introduced(definition,[new_symbols(definition,[spl1381_110])],[avatar_definition]) ).
fof(f37629,plain,
( k22_filter_2(sK177,sK178,sK178) = k2_tarski(sK178,sK178)
| ~ spl1381_110 ),
inference(avatar_component_clause,[],[f37627]) ).
fof(f37630,plain,
( spl1381_110
| ~ spl1381_92
| ~ spl1381_79 ),
inference(avatar_split_clause,[],[f37624,f36360,f36908,f37627]) ).
fof(f38953,plain,
! [X2,X3,X0,X1] :
( ~ r1_lattices(X0,X1,sK195(k22_filter_2(X0,X2,X1),X3))
| sK195(k22_filter_2(X0,X2,X1),X3) = X1
| ~ m1_subset_1(sK195(k22_filter_2(X0,X2,X1),X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X2,X1),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X2,X1)
| ~ v10_lattices(X0) ),
inference(resolution,[],[f25453,f36048]) ).
fof(f38974,plain,
! [X2,X3,X0,X1] :
( ~ r1_lattices(X0,X1,sK195(k22_filter_2(X0,X2,X1),X3))
| sK195(k22_filter_2(X0,X2,X1),X3) = X1
| ~ m1_subset_1(sK195(k22_filter_2(X0,X2,X1),X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X2,X1),X3)
| ~ r3_lattices(X0,X2,X1)
| ~ v10_lattices(X0) ),
inference(duplicate_literal_removal,[],[f38953]) ).
fof(f38983,plain,
! [X2,X3,X0,X1] :
( ~ r1_lattices(X0,X1,sK195(k22_filter_2(X0,X2,X1),X3))
| sK195(k22_filter_2(X0,X2,X1),X3) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X2,X1),X3)
| ~ r3_lattices(X0,X2,X1)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f38974,f36001]) ).
fof(f38992,plain,
! [X2,X3,X0,X1] :
( ~ r1_lattices(X0,X1,sK195(k22_filter_2(X0,X2,X1),X3))
| sK195(k22_filter_2(X0,X2,X1),X3) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X2,X1),X3)
| ~ r3_lattices(X0,X2,X1)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f38983,f25482]) ).
fof(f39001,plain,
! [X2,X3,X0,X1] :
( ~ r1_lattices(X0,X1,sK195(k22_filter_2(X0,X2,X1),X3))
| sK195(k22_filter_2(X0,X2,X1),X3) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X2,X1),X3)
| ~ r3_lattices(X0,X2,X1)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f38992,f25574]) ).
fof(f39062,plain,
! [X2,X0,X1] :
( sK195(k22_filter_2(X0,X1,X1),X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X1),X2)
| ~ r3_lattices(X0,X1,X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X1),X2)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X1)
| ~ v10_lattices(X0) ),
inference(resolution,[],[f39001,f36061]) ).
fof(f39068,plain,
! [X2,X0,X1] :
( r1_tarski(k22_filter_2(X0,X1,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| sK195(k22_filter_2(X0,X1,X1),X2) = X1
| ~ r3_lattices(X0,X1,X1)
| ~ v10_lattices(X0) ),
inference(duplicate_literal_removal,[],[f39062]) ).
fof(f39288,plain,
( ~ m1_subset_1(sK178,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ l3_lattices(sK177)
| sK178 = sK195(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| ~ r3_lattices(sK177,sK178,sK178)
| ~ v10_lattices(sK177)
| spl1381_92 ),
inference(resolution,[],[f39068,f36910]) ).
fof(f39292,plain,
( ~ m1_subset_1(sK178,u1_struct_0(sK177))
| v3_struct_0(sK177)
| ~ l3_lattices(sK177)
| sK178 = sK195(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| ~ v10_lattices(sK177)
| spl1381_92 ),
inference(forward_subsumption_resolution,[],[f39288,f35382]) ).
fof(f39293,plain,
( v3_struct_0(sK177)
| ~ l3_lattices(sK177)
| sK178 = sK195(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| ~ v10_lattices(sK177)
| spl1381_92 ),
inference(forward_subsumption_resolution,[],[f39292,f22803]) ).
fof(f39294,plain,
( ~ l3_lattices(sK177)
| sK178 = sK195(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| ~ v10_lattices(sK177)
| spl1381_92 ),
inference(forward_subsumption_resolution,[],[f39293,f22802]) ).
fof(f39295,plain,
( sK178 = sK195(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| ~ v10_lattices(sK177)
| spl1381_92 ),
inference(forward_subsumption_resolution,[],[f39294,f22800]) ).
fof(f39296,plain,
( sK178 = sK195(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| spl1381_92 ),
inference(forward_subsumption_resolution,[],[f39295,f22801]) ).
fof(f39342,plain,
( ~ r2_hidden(sK178,k2_tarski(sK178,sK178))
| r1_tarski(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| spl1381_92 ),
inference(superposition,[],[f22904,f39296]) ).
fof(f39384,plain,
( r1_tarski(k22_filter_2(sK177,sK178,sK178),k2_tarski(sK178,sK178))
| spl1381_92 ),
inference(forward_subsumption_resolution,[],[f39342,f33926]) ).
fof(f39390,plain,
( $false
| spl1381_92 ),
inference(forward_subsumption_resolution,[],[f39384,f36910]) ).
fof(f39391,plain,
spl1381_92,
inference(avatar_contradiction_clause,[],[f39390]) ).
fof(f39483,plain,
( ~ r1_filter_2(u1_struct_0(sK177),k2_tarski(sK178,sK178),k6_domain_1(u1_struct_0(sK177),sK178))
| ~ spl1381_110 ),
inference(superposition,[],[f22804,f37629]) ).
fof(f39694,plain,
( ~ r1_filter_2(u1_struct_0(sK177),k2_tarski(sK178,sK178),k2_tarski(sK178,sK178))
| spl1381_38
| ~ spl1381_110 ),
inference(forward_demodulation,[],[f39483,f35710]) ).
fof(f39751,plain,
( $false
| spl1381_38
| ~ spl1381_110 ),
inference(forward_subsumption_resolution,[],[f39694,f35723]) ).
fof(f39752,plain,
( spl1381_38
| ~ spl1381_110 ),
inference(avatar_contradiction_clause,[],[f39751]) ).
cnf(s20,plain,
spl1381_24,
inference(sat_conversion,[],[f35281]) ).
cnf(s22,plain,
~ spl1381_26,
inference(sat_conversion,[],[f35292]) ).
cnf(s25,plain,
spl1381_25,
inference(sat_conversion,[],[f35401]) ).
cnf(s26,plain,
( ~ spl1381_24
| ~ spl1381_25
| spl1381_26
| ~ spl1381_38 ),
inference(sat_conversion,[],[f35427]) ).
cnf(s52,plain,
( ~ spl1381_77
| spl1381_78
| spl1381_79 ),
inference(sat_conversion,[],[f36363]) ).
cnf(s56,plain,
spl1381_77,
inference(sat_conversion,[],[f36392]) ).
cnf(s57,plain,
~ spl1381_78,
inference(sat_conversion,[],[f36399]) ).
cnf(s91,plain,
( ~ spl1381_79
| ~ spl1381_92
| spl1381_110 ),
inference(sat_conversion,[],[f37630]) ).
cnf(s97,plain,
spl1381_92,
inference(sat_conversion,[],[f39391]) ).
cnf(s99,plain,
( spl1381_38
| ~ spl1381_110 ),
inference(sat_conversion,[],[f39752]) ).
cnf(s100,plain,
( ~ spl1381_79
| spl1381_110 ),
inference(rat,[],[s91,s97]) ).
cnf(s104,plain,
spl1381_79,
inference(rat,[],[s52,s57,s56]) ).
cnf(s105,plain,
spl1381_110,
inference(rat,[],[s100,s104]) ).
cnf(s106,plain,
spl1381_38,
inference(rat,[],[s99,s105]) ).
cnf(s115,plain,
( ~ spl1381_24
| ~ spl1381_25
| spl1381_26 ),
inference(rat,[],[s26,s106]) ).
cnf(s117,plain,
~ spl1381_24,
inference(rat,[],[s115,s25,s22]) ).
cnf(s119,plain,
$false,
inference(rat,[],[s20,s117]) ).
fof(f39828,plain,
$false,
inference(avatar_sat_refutation,[],[s119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT328+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:40:48 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 11.71/2.53 % (877072)Detected formulas, will run a generic FOF schedule.
% 11.71/2.53 % (877082)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3959143729:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 11.71/2.53 % (877083)dis-21_1_sil=8000:lcm=predicate:random_seed=3032557691:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 11.71/2.53 % (877081)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1106511947:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 11.71/2.53 % (877078)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=561215629:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 11.71/2.53 % (877077)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=867004806:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 11.71/2.53 % (877080)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=994406985:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 11.71/2.53 % (877079)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=1919540413:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 11.71/2.53 % (877082)Instruction limit reached!
% 11.71/2.53 % (877082)------------------------------
% 11.71/2.53 % (877082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.71/2.53 % (877082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/2.53 % (877082)CaDiCaL version: 2.1.3
% 11.71/2.53 % (877082)Termination reason: Instruction limit
% 11.71/2.53 % (877082)Termination phase: Property scanning
% 11.71/2.53 % (877082)Time elapsed: 0.032 s
% 11.71/2.53 % (877082)Peak memory usage: 102 MB
% 11.71/2.53 % (877082)Instructions burned: 142 (million)
% 11.71/2.53 % (877080)Refutation not found, incomplete strategy
% 11.71/2.53 % (877080)------------------------------
% 11.71/2.53 % (877080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.71/2.53 % (877080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/2.53 % (877080)CaDiCaL version: 2.1.3
% 11.71/2.53 % (877080)Termination reason: Refutation not found, incomplete strategy
% 11.71/2.53 % (877080)Time elapsed: 0.067 s
% 11.71/2.53 % (877080)Peak memory usage: 107 MB
% 11.71/2.53 % (877080)Instructions burned: 81 (million)
% 11.71/2.53 % (877081)Instruction limit reached!
% 11.71/2.53 % (877081)------------------------------
% 11.71/2.53 % (877081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.71/2.53 % (877081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/2.53 % (877081)CaDiCaL version: 2.1.3
% 11.71/2.53 % (877081)Termination reason: Instruction limit
% 11.71/2.53 % (877081)Termination phase: Property scanning
% 11.71/2.53 % (877081)Time elapsed: 0.093 s
% 11.71/2.53 % (877081)Peak memory usage: 106 MB
% 11.71/2.53 % (877081)Instructions burned: 120 (million)
% 11.71/2.53 % (877083)Instruction limit reached!
% 11.71/2.53 % (877083)------------------------------
% 11.71/2.53 % (877083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.71/2.53 % (877083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/2.53 % (877083)CaDiCaL version: 2.1.3
% 11.71/2.53 % (877083)Termination reason: Instruction limit
% 11.71/2.53 % (877083)Termination phase: Preprocessing 1
% 11.71/2.53 % (877083)Time elapsed: 0.098 s
% 11.71/2.53 % (877083)Peak memory usage: 104 MB
% 11.71/2.53 % (877083)Instructions burned: 129 (million)
% 11.71/2.53 % (877091)lrs+10_1_sil=8000:sp=occurrence:random_seed=3368603189:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 11.71/2.53 % (877092)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3337920223:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 11.71/2.53 % (877093)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1695894497:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 11.71/2.53 % (877091)Instruction limit reached!
% 11.71/2.53 % (877091)------------------------------
% 11.71/2.53 % (877091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.71/2.53 % (877091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.72 % (877091)CaDiCaL version: 2.1.3
% 19.68/3.72 % (877091)Termination reason: Instruction limit
% 19.68/3.72 % (877091)Termination phase: Saturation
% 19.68/3.72 % (877091)Time elapsed: 0.116 s
% 19.68/3.72 % (877091)Peak memory usage: 109 MB
% 19.68/3.72 % (877091)Instructions burned: 286 (million)
% 19.68/3.72 % (877092)Instruction limit reached!
% 19.68/3.72 % (877092)------------------------------
% 19.68/3.72 % (877092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.72 % (877092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.72 % (877092)CaDiCaL version: 2.1.3
% 19.68/3.72 % (877092)Termination reason: Instruction limit
% 19.68/3.72 % (877092)Termination phase: Property scanning
% 19.68/3.72 % (877092)Time elapsed: 0.067 s
% 19.68/3.72 % (877092)Peak memory usage: 102 MB
% 19.68/3.72 % (877092)Instructions burned: 158 (million)
% 19.68/3.72 % (877080)------------------------------
% 19.68/3.72 % (877080)------------------------------
% 19.68/3.72 % (877097)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=3840529700:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 19.68/3.72 % (877097)Instruction limit reached!
% 19.68/3.72 % (877097)------------------------------
% 19.68/3.72 % (877097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.72 % (877097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.72 % (877097)CaDiCaL version: 2.1.3
% 19.68/3.72 % (877097)Termination reason: Instruction limit
% 19.68/3.72 % (877097)Termination phase: SInE selection
% 19.68/3.72 % (877097)Time elapsed: 0.074 s
% 19.68/3.72 % (877097)Peak memory usage: 103 MB
% 19.68/3.72 % (877097)Instructions burned: 250 (million)
% 19.68/3.72 % (877098)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1851709329:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 19.68/3.72 % (877099)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1240234750:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 19.68/3.72 % (877093)Instruction limit reached!
% 19.68/3.72 % (877093)------------------------------
% 19.68/3.72 % (877093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.72 % (877093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.72 % (877093)CaDiCaL version: 2.1.3
% 19.68/3.72 % (877093)Termination reason: Instruction limit
% 19.68/3.72 % (877093)Termination phase: Saturation
% 19.68/3.72 % (877093)Time elapsed: 0.224 s
% 19.68/3.72 % (877093)Peak memory usage: 109 MB
% 19.68/3.72 % (877093)Instructions burned: 325 (million)
% 19.68/3.72 % (877102)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3333570661:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 19.68/3.72 % (877102)Instruction limit reached!
% 19.68/3.72 % (877102)------------------------------
% 19.68/3.72 % (877102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.72 % (877102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.72 % (877102)CaDiCaL version: 2.1.3
% 19.68/3.72 % (877102)Termination reason: Instruction limit
% 19.68/3.72 % (877102)Termination phase: Preprocessing 3
% 19.68/3.72 % (877102)Time elapsed: 0.054 s
% 19.68/3.72 % (877102)Peak memory usage: 105 MB
% 19.68/3.72 % (877102)Instructions burned: 115 (million)
% 19.68/3.72 % (877104)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1061851279:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 19.68/3.72 % (877098)Instruction limit reached!
% 19.68/3.72 % (877098)------------------------------
% 19.68/3.72 % (877098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.72 % (877098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.72 % (877098)CaDiCaL version: 2.1.3
% 19.68/3.72 % (877098)Termination reason: Instruction limit
% 19.68/3.72 % (877098)Termination phase: Saturation
% 19.68/3.72 % (877098)Time elapsed: 0.191 s
% 19.68/3.72 % (877098)Peak memory usage: 110 MB
% 19.68/3.72 % (877098)Instructions burned: 294 (million)
% 19.68/3.72 % (877106)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1322535771:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 19.68/3.72 % (877106)Instruction limit reached!
% 19.68/3.72 % (877106)------------------------------
% 19.68/3.72 % (877106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.72 % (877106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877106)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877106)Termination reason: Instruction limit
% 17.17/6.62 % (877106)Termination phase: Property scanning
% 17.17/6.62 % (877106)Time elapsed: 0.027 s
% 17.17/6.62 % (877106)Peak memory usage: 102 MB
% 17.17/6.62 % (877106)Instructions burned: 119 (million)
% 17.17/6.62 % (877104)Instruction limit reached!
% 17.17/6.62 % (877104)------------------------------
% 17.17/6.62 % (877104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877104)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877104)Termination reason: Instruction limit
% 17.17/6.62 % (877104)Termination phase: Preprocessing 2
% 17.17/6.62 % (877104)Time elapsed: 0.103 s
% 17.17/6.62 % (877104)Peak memory usage: 106 MB
% 17.17/6.62 % (877104)Instructions burned: 127 (million)
% 17.17/6.62 % (877108)lrs+10_1_sil=8000:sp=occurrence:random_seed=1398297968:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 17.17/6.62 % (877110)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2441795358:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 17.17/6.62 % (877111)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1325923099:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 17.17/6.62 % (877110)Instruction limit reached!
% 17.17/6.62 % (877110)------------------------------
% 17.17/6.62 % (877110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877110)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877110)Termination reason: Instruction limit
% 17.17/6.62 % (877110)Termination phase: Saturation
% 17.17/6.62 % (877110)Time elapsed: 0.145 s
% 17.17/6.62 % (877110)Peak memory usage: 110 MB
% 17.17/6.62 % (877110)Instructions burned: 438 (million)
% 17.17/6.62 % (877115)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=612728469:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 17.17/6.62 % (877115)Instruction limit reached!
% 17.17/6.62 % (877115)------------------------------
% 17.17/6.62 % (877115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877115)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877115)Termination reason: Instruction limit
% 17.17/6.62 % (877115)Termination phase: Property scanning
% 17.17/6.62 % (877115)Time elapsed: 0.057 s
% 17.17/6.62 % (877115)Peak memory usage: 106 MB
% 17.17/6.62 % (877115)Instructions burned: 140 (million)
% 17.17/6.62 % (877117)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4047792914:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 17.17/6.62 % (877108)Instruction limit reached!
% 17.17/6.62 % (877108)------------------------------
% 17.17/6.62 % (877108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877108)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877108)Termination reason: Instruction limit
% 17.17/6.62 % (877108)Termination phase: Saturation
% 17.17/6.62 % (877108)Time elapsed: 0.586 s
% 17.17/6.62 % (877108)Peak memory usage: 121 MB
% 17.17/6.62 % (877108)Instructions burned: 907 (million)
% 17.17/6.62 % (877117)Instruction limit reached!
% 17.17/6.62 % (877117)------------------------------
% 17.17/6.62 % (877117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877117)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877117)Termination reason: Instruction limit
% 17.17/6.62 % (877117)Termination phase: Property scanning
% 17.17/6.62 % (877117)Time elapsed: 0.241 s
% 17.17/6.62 % (877117)Peak memory usage: 124 MB
% 17.17/6.62 % (877117)Instructions burned: 594 (million)
% 17.17/6.62 % (877119)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=475704139:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 17.17/6.62 % (877120)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1217477054:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 17.17/6.62 % (877120)Instruction limit reached!
% 17.17/6.62 % (877120)------------------------------
% 17.17/6.62 % (877120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877120)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877120)Termination reason: Instruction limit
% 17.17/6.62 % (877120)Termination phase: Property scanning
% 17.17/6.62 % (877120)Time elapsed: 0.030 s
% 17.17/6.62 % (877120)Peak memory usage: 102 MB
% 17.17/6.62 % (877120)Instructions burned: 127 (million)
% 17.17/6.62 % (877123)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3671225114:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 17.17/6.62 % (877123)Instruction limit reached!
% 17.17/6.62 % (877123)------------------------------
% 17.17/6.62 % (877123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877123)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877123)Termination reason: Instruction limit
% 17.17/6.62 % (877123)Termination phase: Property scanning
% 17.17/6.62 % (877123)Time elapsed: 0.059 s
% 17.17/6.62 % (877123)Peak memory usage: 102 MB
% 17.17/6.62 % (877123)Instructions burned: 136 (million)
% 17.17/6.62 % (877125)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=897963223:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 17.17/6.62 % (877099)Instruction limit reached!
% 17.17/6.62 % (877099)------------------------------
% 17.17/6.62 % (877099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877099)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877099)Termination reason: Instruction limit
% 17.17/6.62 % (877099)Termination phase: Saturation
% 17.17/6.62 % (877099)Time elapsed: 1.465 s
% 17.17/6.62 % (877099)Peak memory usage: 239 MB
% 17.17/6.62 % (877099)Instructions burned: 2351 (million)
% 17.17/6.62 % (877125)Refutation not found, incomplete strategy
% 17.17/6.62 % (877125)------------------------------
% 17.17/6.62 % (877125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877125)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877125)Termination reason: Refutation not found, incomplete strategy
% 17.17/6.62 % (877125)Time elapsed: 0.066 s
% 17.17/6.62 % (877125)Peak memory usage: 107 MB
% 17.17/6.62 % (877125)Instructions burned: 78 (million)
% 17.17/6.62 % (877127)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2668365914:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 17.17/6.62 % (877127)Refutation not found, incomplete strategy
% 17.17/6.62 % (877127)------------------------------
% 17.17/6.62 % (877127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877127)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877127)Termination reason: Refutation not found, incomplete strategy
% 17.17/6.62 % (877127)Time elapsed: 0.079 s
% 17.17/6.62 % (877127)Peak memory usage: 107 MB
% 17.17/6.62 % (877127)Instructions burned: 91 (million)
% 17.17/6.62 % (877125)------------------------------
% 17.17/6.62 % (877125)------------------------------
% 17.17/6.62 % (877129)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2174454786:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 17.17/6.62 % (877127)------------------------------
% 17.17/6.62 % (877127)------------------------------
% 17.17/6.62 % (877131)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3151566870:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 17.17/6.62 % (877131)Instruction limit reached!
% 17.17/6.62 % (877131)------------------------------
% 17.17/6.62 % (877131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877131)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877131)Termination reason: Instruction limit
% 17.17/6.62 % (877131)Termination phase: Preprocessing 1
% 17.17/6.62 % (877131)Time elapsed: 0.118 s
% 17.17/6.62 % (877131)Peak memory usage: 103 MB
% 17.17/6.62 % (877131)Instructions burned: 151 (million)
% 17.17/6.62 % (877133)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3870900912:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 17.17/6.62 % (877111)Instruction limit reached!
% 17.17/6.62 % (877111)------------------------------
% 17.17/6.62 % (877111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877111)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877111)Termination reason: Instruction limit
% 17.17/6.62 % (877111)Termination phase: Saturation
% 17.17/6.62 % (877111)Time elapsed: 3.574 s
% 17.17/6.62 % (877111)Peak memory usage: 305 MB
% 17.17/6.62 % (877111)Instructions burned: 5202 (million)
% 17.17/6.62 % (877135)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3176245609:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 17.17/6.62 % (877135)Instruction limit reached!
% 17.17/6.62 % (877135)------------------------------
% 17.17/6.62 % (877135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877135)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877135)Termination reason: Instruction limit
% 17.17/6.62 % (877135)Termination phase: NewCNF
% 17.17/6.62 % (877135)Time elapsed: 0.491 s
% 17.17/6.62 % (877135)Peak memory usage: 135 MB
% 17.17/6.62 % (877135)Instructions burned: 668 (million)
% 17.17/6.62 % (877137)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2479170854:s2a=on:i=185:s2at=1.8:fdi=4_2945 on theBenchmark for (2945ds/185Mi)
% 17.17/6.62 % (877119)First to succeed.
% 17.17/6.62 % (877119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-877072"
% 17.17/6.62 % (877137)Instruction limit reached!
% 17.17/6.62 % (877137)------------------------------
% 17.17/6.62 % (877137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/6.62 % (877137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/6.62 % (877137)CaDiCaL version: 2.1.3
% 17.17/6.62 % (877137)Termination reason: Instruction limit
% 17.17/6.62 % (877137)Termination phase: Preprocessing 1
% 17.17/6.62 % (877137)Time elapsed: 0.146 s
% 17.17/6.62 % (877137)Peak memory usage: 104 MB
% 17.17/6.62 % (877137)Instructions burned: 185 (million)
% 17.17/6.62 % (877139)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2442675881:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2942 on theBenchmark for (2942ds/193Mi)
% 17.17/6.62 % (877119)Refutation found. Thanks to Tanya!
% 17.17/6.62 % SZS status Theorem for theBenchmark
% 17.17/6.62 % SZS output start Proof for theBenchmark
% See solution above
% 41.18/6.81 % (877119)------------------------------
% 41.18/6.81 % (877119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.18/6.81 % (877119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.18/6.81 % (877119)CaDiCaL version: 2.1.3
% 41.18/6.81 % (877119)Termination reason: Refutation
% 41.18/6.81 % (877119)Time elapsed: 3.797 s
% 41.18/6.81 % (877119)Peak memory usage: 288 MB
% 41.18/6.81 % (877119)Instructions burned: 6128 (million)
% 41.18/6.81 % (877119)------------------------------
% 41.18/6.81 % (877119)------------------------------
% 41.18/6.81 % (877072)Success in time 6.009 s
% 41.18/6.81 % Vampire exiting
%------------------------------------------------------------------------------