%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT311+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 : n018.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 11:46:47 AM UTC 2026
% Result : Theorem 5.86s 1.77s
% Output : Refutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 28
% Syntax : Number of formulae : 201 ( 41 unt; 12 def)
% Number of atoms : 768 ( 100 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 932 ( 365 ~; 412 |; 116 &)
% ( 7 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 8 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn 163 !; 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))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_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))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f11,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(f12,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(f13,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(f14,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(f19,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(f28,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(f56,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(f67,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(f84,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(f85,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(f92,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))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_filter_0) ).
fof(f95,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(f96,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(f98,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(f101,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(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,[],[f2]) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(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,[],[f114]) ).
fof(f128,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,[],[f11]) ).
fof(f129,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,[],[f128]) ).
fof(f130,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,[],[f12]) ).
fof(f131,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,[],[f130]) ).
fof(f132,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,[],[f13]) ).
fof(f133,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,[],[f132]) ).
fof(f134,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,[],[f14]) ).
fof(f135,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,[],[f134]) ).
fof(f144,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f155,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,[],[f28]) ).
fof(f156,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,[],[f155]) ).
fof(f183,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f184,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f183]) ).
fof(f201,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,[],[f67]) ).
fof(f202,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,[],[f201]) ).
fof(f214,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,[],[f84]) ).
fof(f215,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,[],[f214]) ).
fof(f216,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,[],[f85]) ).
fof(f217,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,[],[f216]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(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,[],[f92]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(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,[],[f225]) ).
fof(f230,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,[],[f95]) ).
fof(f231,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,[],[f230]) ).
fof(f232,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,[],[f96]) ).
fof(f233,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,[],[f232]) ).
fof(f234,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f98]) ).
fof(f235,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f234]) ).
fof(f238,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f240,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)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f241,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f202,f240]) ).
fof(f242,plain,
( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3))
& r2_hidden(sK2,sK3)
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK2,u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f115]) ).
fof(f254,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)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f240]) ).
fof(f280,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f242]) ).
fof(f281,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f242]) ).
fof(f282,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f242]) ).
fof(f283,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f242]) ).
fof(f284,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f242]) ).
fof(f285,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f242]) ).
fof(f286,plain,
r2_hidden(sK2,sK3),
inference(cnf_transformation,[],[f242]) ).
fof(f287,plain,
~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3)),
inference(cnf_transformation,[],[f242]) ).
fof(f304,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f305,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f306,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f307,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,[],[f135]) ).
fof(f313,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f320,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(cnf_transformation,[],[f156]) ).
fof(f353,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f373,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f382,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f428,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f429,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| k3_filter_0(X0,X1) = k3_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f439,plain,
! [X2,X0,X1] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(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,[],[f226]) ).
fof(f444,plain,
! [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))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f445,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,[],[f233]) ).
fof(f451,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f454,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f458,definition,
sF31 = k18_filter_2(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f459,plain,
k18_filter_2(sK1,sK2) = sF31,
inference(reorient_equations,[],[f458]) ).
fof(f460,definition,
sF32 = k19_filter_2(sK1,sK3),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f461,plain,
k19_filter_2(sK1,sK3) = sF32,
inference(reorient_equations,[],[f460]) ).
fof(f462,plain,
~ r1_tarski(sF31,sF32),
inference(definition_folding,[],[f287,f461,f459]) ).
fof(f463,definition,
sF33 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f464,plain,
u1_struct_0(sK1) = sF33,
inference(reorient_equations,[],[f463]) ).
fof(f465,definition,
sF34 = k1_zfmisc_1(sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f466,plain,
k1_zfmisc_1(sF33) = sF34,
inference(reorient_equations,[],[f465]) ).
fof(f467,plain,
m1_subset_1(sK3,sF34),
inference(definition_folding,[],[f284,f466,f464]) ).
fof(f468,plain,
m1_subset_1(sK2,sF33),
inference(definition_folding,[],[f283,f464]) ).
fof(f469,plain,
! [X2,X0,X1] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f439,f451]) ).
fof(f470,plain,
! [X2,X0,X1] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f469,f454]) ).
fof(f496,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| k7_filter_2(sK1,X0) = X0
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f306,f464]) ).
fof(f497,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| k7_filter_2(sK1,X0) = X0
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f496,f282]) ).
fof(f498,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| k7_filter_2(sK1,X0) = X0
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f497,f281]) ).
fof(f499,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| k7_filter_2(sK1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f498,f280]) ).
fof(f500,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k7_filter_2(sK1,X0) = X0 ),
inference(forward_demodulation,[],[f499,f466]) ).
fof(f501,plain,
sK3 = k7_filter_2(sK1,sK3),
inference(resolution,[],[f500,f467]) ).
fof(f506,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f444,f464]) ).
fof(f507,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f506,f282]) ).
fof(f508,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f507,f281]) ).
fof(f509,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) ),
inference(forward_subsumption_resolution,[],[f508,f280]) ).
fof(f517,plain,
k18_filter_2(sK1,sK2) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),
inference(resolution,[],[f509,f468]) ).
fof(f518,plain,
sF31 = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),
inference(forward_demodulation,[],[f517,f459]) ).
fof(f548,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k5_filter_2(sK1,X0) = X0
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f305,f464]) ).
fof(f549,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k5_filter_2(sK1,X0) = X0
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f548,f282]) ).
fof(f550,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k5_filter_2(sK1,X0) = X0
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f549,f281]) ).
fof(f551,plain,
! [X0] :
( ~ m1_subset_1(X0,sF33)
| k5_filter_2(sK1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f550,f280]) ).
fof(f552,plain,
sK2 = k5_filter_2(sK1,sK2),
inference(resolution,[],[f551,f468]) ).
fof(f553,plain,
sF31 = k2_filter_2(k1_lattice2(sK1),sK2),
inference(superposition,[],[f518,f552]) ).
fof(f574,definition,
( spl35_3
<=> m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl35_3])],[avatar_definition]) ).
fof(f575,plain,
( m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| ~ spl35_3 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| spl35_3 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f578,definition,
( spl35_4
<=> l3_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl35_4])],[avatar_definition]) ).
fof(f579,plain,
( l3_lattices(k1_lattice2(sK1))
| ~ spl35_4 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f580,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| spl35_4 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f582,definition,
( spl35_5
<=> v10_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl35_5])],[avatar_definition]) ).
fof(f583,plain,
( v10_lattices(k1_lattice2(sK1))
| ~ spl35_5 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f584,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| spl35_5 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f586,definition,
( spl35_6
<=> v3_struct_0(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl35_6])],[avatar_definition]) ).
fof(f587,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| spl35_6 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f588,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ spl35_6 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f709,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(resolution,[],[f382,f280]) ).
fof(f711,plain,
( ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(forward_subsumption_resolution,[],[f709,f282]) ).
fof(f712,plain,
sP0(sK1),
inference(forward_subsumption_resolution,[],[f711,f281]) ).
fof(f902,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f320,f501]) ).
fof(f912,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f902,f282]) ).
fof(f921,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f912,f281]) ).
fof(f929,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f921,f280]) ).
fof(f932,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF33))
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))) ),
inference(forward_demodulation,[],[f929,f464]) ).
fof(f935,plain,
( ~ m1_subset_1(sK3,sF34)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))) ),
inference(forward_demodulation,[],[f932,f466]) ).
fof(f938,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))),
inference(forward_subsumption_resolution,[],[f935,f467]) ).
fof(f939,plain,
( sK3 = k8_filter_2(sK1,sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f938,f307]) ).
fof(f940,plain,
! [X0] :
( v1_xboole_0(sK3)
| k3_filter_2(k1_lattice2(sK1),sK3) = k19_filter_2(sK1,k8_filter_2(sK1,sK3))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f938,f445]) ).
fof(f947,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(sK3)
| k3_filter_2(k1_lattice2(sK1),sK3) = k3_filter_0(k1_lattice2(sK1),sK3) ),
inference(resolution,[],[f938,f429]) ).
fof(f962,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| k3_filter_2(k1_lattice2(sK1),sK3) = k3_filter_0(k1_lattice2(sK1),sK3) ),
inference(forward_subsumption_resolution,[],[f947,f285]) ).
fof(f973,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK1),sK3) = k19_filter_2(sK1,k8_filter_2(sK1,sK3))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f940,f285]) ).
fof(f974,plain,
( sK3 = k8_filter_2(sK1,sK3)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f939,f282]) ).
fof(f981,definition,
( spl35_18
<=> k3_filter_2(k1_lattice2(sK1),sK3) = k3_filter_0(k1_lattice2(sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl35_18])],[avatar_definition]) ).
fof(f983,plain,
( k3_filter_2(k1_lattice2(sK1),sK3) = k3_filter_0(k1_lattice2(sK1),sK3)
| ~ spl35_18 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f984,plain,
( spl35_18
| ~ spl35_4
| ~ spl35_5
| spl35_6 ),
inference(avatar_split_clause,[],[f962,f586,f582,f578,f981]) ).
fof(f998,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK1),sK3) = k19_filter_2(sK1,k8_filter_2(sK1,sK3))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f973,f282]) ).
fof(f999,plain,
( sK3 = k8_filter_2(sK1,sK3)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f974,f281]) ).
fof(f1003,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK1),sK3) = k19_filter_2(sK1,k8_filter_2(sK1,sK3))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f998,f281]) ).
fof(f1004,plain,
sK3 = k8_filter_2(sK1,sK3),
inference(forward_subsumption_resolution,[],[f999,f280]) ).
fof(f1008,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK1),sK3) = k19_filter_2(sK1,k8_filter_2(sK1,sK3))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1003,f280]) ).
fof(f1012,plain,
! [X0] :
( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_demodulation,[],[f1008,f1004]) ).
fof(f1016,plain,
! [X0] :
( sF32 = k3_filter_2(k1_lattice2(sK1),sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_demodulation,[],[f1012,f461]) ).
fof(f1018,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| sF32 = k3_filter_2(k1_lattice2(sK1),sK3)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f1016,f464]) ).
fof(f1024,definition,
( spl35_22
<=> ! [X0] :
( ~ m1_subset_1(X0,sF34)
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl35_22])],[avatar_definition]) ).
fof(f1025,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF34)
| v1_xboole_0(X0) )
| ~ spl35_22 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1027,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| sF32 = k3_filter_2(k1_lattice2(sK1),sK3)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f1018,f466]) ).
fof(f1029,definition,
( spl35_23
<=> sF32 = k3_filter_2(k1_lattice2(sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl35_23])],[avatar_definition]) ).
fof(f1031,plain,
( sF32 = k3_filter_2(k1_lattice2(sK1),sK3)
| ~ spl35_23 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1032,plain,
( spl35_23
| spl35_22 ),
inference(avatar_split_clause,[],[f1027,f1024,f1029]) ).
fof(f1033,plain,
( v1_xboole_0(sK3)
| ~ spl35_22 ),
inference(resolution,[],[f1025,f467]) ).
fof(f1040,plain,
( $false
| ~ spl35_22 ),
inference(forward_subsumption_resolution,[],[f1033,f285]) ).
fof(f1041,plain,
~ spl35_22,
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1042,plain,
( ~ l3_lattices(sK1)
| spl35_4 ),
inference(resolution,[],[f580,f313]) ).
fof(f1043,plain,
( $false
| spl35_4 ),
inference(forward_subsumption_resolution,[],[f1042,f280]) ).
fof(f1044,plain,
spl35_4,
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1045,plain,
( ~ sP0(sK1)
| spl35_5 ),
inference(resolution,[],[f584,f373]) ).
fof(f1046,plain,
( $false
| spl35_5 ),
inference(forward_subsumption_resolution,[],[f1045,f712]) ).
fof(f1047,plain,
spl35_5,
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1051,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ spl35_6 ),
inference(resolution,[],[f588,f353]) ).
fof(f1052,plain,
( ~ l3_lattices(sK1)
| ~ spl35_6 ),
inference(forward_subsumption_resolution,[],[f1051,f282]) ).
fof(f1053,plain,
( $false
| ~ spl35_6 ),
inference(forward_subsumption_resolution,[],[f1052,f280]) ).
fof(f1054,plain,
~ spl35_6,
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1056,plain,
( sF32 = k3_filter_0(k1_lattice2(sK1),sK3)
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_demodulation,[],[f983,f1031]) ).
fof(f1094,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sF32)
| ~ r2_hidden(X0,sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl35_18
| ~ spl35_23 ),
inference(superposition,[],[f470,f1056]) ).
fof(f1095,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sF32)
| ~ r2_hidden(X0,sK3)
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_subsumption_resolution,[],[f1094,f938]) ).
fof(f1096,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sF32)
| ~ r2_hidden(X0,sK3)
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_subsumption_resolution,[],[f1095,f587]) ).
fof(f1097,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sF32)
| ~ r2_hidden(X0,sK3)
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_subsumption_resolution,[],[f1096,f583]) ).
fof(f1098,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sF32)
| ~ r2_hidden(X0,sK3) )
| ~ spl35_4
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_subsumption_resolution,[],[f1097,f579]) ).
fof(f1111,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f451,f938]) ).
fof(f1120,plain,
( ~ r2_hidden(sK2,sK3)
| spl35_3 ),
inference(resolution,[],[f1111,f576]) ).
fof(f1121,plain,
( $false
| spl35_3 ),
inference(forward_subsumption_resolution,[],[f1120,f286]) ).
fof(f1122,plain,
spl35_3,
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1152,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_3 ),
inference(resolution,[],[f575,f304]) ).
fof(f1153,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl35_3 ),
inference(resolution,[],[f575,f428]) ).
fof(f1160,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl35_3
| spl35_6 ),
inference(forward_subsumption_resolution,[],[f1153,f587]) ).
fof(f1161,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_3
| spl35_6 ),
inference(forward_subsumption_resolution,[],[f1152,f587]) ).
fof(f1166,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl35_3
| ~ spl35_5
| spl35_6 ),
inference(forward_subsumption_resolution,[],[f1160,f583]) ).
fof(f1167,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_3
| ~ spl35_5
| spl35_6 ),
inference(forward_subsumption_resolution,[],[f1161,f583]) ).
fof(f1172,plain,
( k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6 ),
inference(forward_subsumption_resolution,[],[f1166,f579]) ).
fof(f1173,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6 ),
inference(forward_subsumption_resolution,[],[f1167,f579]) ).
fof(f1178,plain,
( sF31 = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6 ),
inference(forward_demodulation,[],[f1172,f553]) ).
fof(f1181,plain,
( sF31 = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6 ),
inference(forward_demodulation,[],[f1178,f1173]) ).
fof(f1226,plain,
( r1_tarski(a_2_0_filter_0(k1_lattice2(sK1),sK2),sF32)
| ~ r2_hidden(sK2,sK3)
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(superposition,[],[f1098,f1173]) ).
fof(f1229,plain,
( r1_tarski(a_2_0_filter_0(k1_lattice2(sK1),sK2),sF32)
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_subsumption_resolution,[],[f1226,f286]) ).
fof(f1231,plain,
( r1_tarski(sF31,sF32)
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_demodulation,[],[f1229,f1181]) ).
fof(f1233,plain,
( $false
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_subsumption_resolution,[],[f1231,f462]) ).
fof(f1234,plain,
( ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
cnf(s9,plain,
( ~ spl35_4
| ~ spl35_5
| spl35_6
| spl35_18 ),
inference(sat_conversion,[],[f984]) ).
cnf(s13,plain,
( spl35_22
| spl35_23 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s16,plain,
~ spl35_22,
inference(sat_conversion,[],[f1041]) ).
cnf(s17,plain,
spl35_4,
inference(sat_conversion,[],[f1044]) ).
cnf(s18,plain,
spl35_5,
inference(sat_conversion,[],[f1047]) ).
cnf(s19,plain,
~ spl35_6,
inference(sat_conversion,[],[f1054]) ).
cnf(s20,plain,
spl35_3,
inference(sat_conversion,[],[f1122]) ).
cnf(s22,plain,
( ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_6
| ~ spl35_18
| ~ spl35_23 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s23,plain,
spl35_23,
inference(rat,[],[s13,s16]) ).
cnf(s24,plain,
~ spl35_18,
inference(rat,[],[s22,s17,s18,s19,s20,s23]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s9,s24,s19,s18,s17]) ).
fof(f1236,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT311+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:31:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 5.86/1.77 % (2417603)Detected formulas, will run a generic FOF schedule.
% 5.86/1.77 % (2417608)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=699684975:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.86/1.77 % (2417614)dis-21_1_sil=8000:lcm=predicate:random_seed=743178559: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)
% 5.86/1.77 % (2417612)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3335193272:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.86/1.77 % (2417609)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=1951555446:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.86/1.77 % (2417610)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=3626970853:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.86/1.77 % (2417611)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1832319341:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.86/1.77 % (2417613)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3277553619:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.86/1.77 % (2417611)Refutation not found, incomplete strategy
% 5.86/1.77 % (2417611)------------------------------
% 5.86/1.77 % (2417611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417611)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417611)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.77 % (2417611)Time elapsed: 0.004 s
% 5.86/1.77 % (2417611)Peak memory usage: 88 MB
% 5.86/1.77 % (2417611)Instructions burned: 4 (million)
% 5.86/1.77 % (2417614)Instruction limit reached!
% 5.86/1.77 % (2417614)------------------------------
% 5.86/1.77 % (2417614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417614)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417614)Termination reason: Instruction limit
% 5.86/1.77 % (2417614)Termination phase: Saturation
% 5.86/1.77 % (2417614)Time elapsed: 0.070 s
% 5.86/1.77 % (2417614)Peak memory usage: 91 MB
% 5.86/1.77 % (2417614)Instructions burned: 129 (million)
% 5.86/1.77 % (2417612)Instruction limit reached!
% 5.86/1.77 % (2417612)------------------------------
% 5.86/1.77 % (2417612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417612)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417612)Termination reason: Instruction limit
% 5.86/1.77 % (2417612)Termination phase: Saturation
% 5.86/1.77 % (2417612)Time elapsed: 0.074 s
% 5.86/1.77 % (2417612)Peak memory usage: 88 MB
% 5.86/1.77 % (2417612)Instructions burned: 121 (million)
% 5.86/1.77 % (2417613)Instruction limit reached!
% 5.86/1.77 % (2417613)------------------------------
% 5.86/1.77 % (2417613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417613)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417613)Termination reason: Instruction limit
% 5.86/1.77 % (2417613)Termination phase: Saturation
% 5.86/1.77 % (2417613)Time elapsed: 0.096 s
% 5.86/1.77 % (2417613)Peak memory usage: 90 MB
% 5.86/1.77 % (2417613)Instructions burned: 139 (million)
% 5.86/1.77 % (2417622)lrs+10_1_sil=8000:sp=occurrence:random_seed=862393436:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.86/1.77 % (2417623)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2284195000:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.86/1.77 % (2417611)------------------------------
% 5.86/1.77 % (2417611)------------------------------
% 5.86/1.77 % (2417624)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4156393413:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.86/1.77 % (2417623)Instruction limit reached!
% 5.86/1.77 % (2417623)------------------------------
% 5.86/1.77 % (2417623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417623)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417623)Termination reason: Instruction limit
% 5.86/1.77 % (2417623)Termination phase: Saturation
% 5.86/1.77 % (2417623)Time elapsed: 0.094 s
% 5.86/1.77 % (2417623)Peak memory usage: 89 MB
% 5.86/1.77 % (2417623)Instructions burned: 158 (million)
% 5.86/1.77 % (2417628)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=3983864233:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.86/1.77 % (2417622)Instruction limit reached!
% 5.86/1.77 % (2417622)------------------------------
% 5.86/1.77 % (2417622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417622)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417622)Termination reason: Instruction limit
% 5.86/1.77 % (2417622)Termination phase: Saturation
% 5.86/1.77 % (2417622)Time elapsed: 0.169 s
% 5.86/1.77 % (2417622)Peak memory usage: 91 MB
% 5.86/1.77 % (2417622)Instructions burned: 285 (million)
% 5.86/1.77 % (2417624)Instruction limit reached!
% 5.86/1.77 % (2417624)------------------------------
% 5.86/1.77 % (2417624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417624)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417624)Termination reason: Instruction limit
% 5.86/1.77 % (2417624)Termination phase: Saturation
% 5.86/1.77 % (2417624)Time elapsed: 0.219 s
% 5.86/1.77 % (2417624)Peak memory usage: 91 MB
% 5.86/1.77 % (2417624)Instructions burned: 326 (million)
% 5.86/1.77 % (2417628)Instruction limit reached!
% 5.86/1.77 % (2417628)------------------------------
% 5.86/1.77 % (2417628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417628)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417628)Termination reason: Instruction limit
% 5.86/1.77 % (2417628)Termination phase: Saturation
% 5.86/1.77 % (2417628)Time elapsed: 0.081 s
% 5.86/1.77 % (2417628)Peak memory usage: 90 MB
% 5.86/1.77 % (2417628)Instructions burned: 250 (million)
% 5.86/1.77 % (2417629)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2641517774:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.86/1.77 % (2417608)First to succeed.
% 5.86/1.77 % (2417608)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2417603"
% 5.86/1.77 % (2417631)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3638473359:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.86/1.77 % (2417634)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=746032923:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.86/1.77 % (2417634)Instruction limit reached!
% 5.86/1.77 % (2417634)------------------------------
% 5.86/1.77 % (2417634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417634)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417634)Termination reason: Instruction limit
% 5.86/1.77 % (2417634)Termination phase: Saturation
% 5.86/1.77 % (2417634)Time elapsed: 0.036 s
% 5.86/1.77 % (2417634)Peak memory usage: 89 MB
% 5.86/1.77 % (2417634)Instructions burned: 130 (million)
% 5.86/1.77 % (2417632)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2580593677:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.86/1.77 % (2417629)Instruction limit reached!
% 5.86/1.77 % (2417629)------------------------------
% 5.86/1.77 % (2417629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417629)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417629)Termination reason: Instruction limit
% 5.86/1.77 % (2417629)Termination phase: Saturation
% 5.86/1.77 % (2417629)Time elapsed: 0.160 s
% 5.86/1.77 % (2417629)Peak memory usage: 92 MB
% 5.86/1.77 % (2417629)Instructions burned: 295 (million)
% 5.86/1.77 % (2417632)Instruction limit reached!
% 5.86/1.77 % (2417632)------------------------------
% 5.86/1.77 % (2417632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.77 % (2417632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.77 % (2417632)CaDiCaL version: 2.1.3
% 5.86/1.77 % (2417632)Termination reason: Instruction limit
% 5.86/1.77 % (2417632)Termination phase: Saturation
% 5.86/1.77 % (2417632)Time elapsed: 0.075 s
% 5.86/1.77 % (2417632)Peak memory usage: 90 MB
% 5.86/1.77 % (2417632)Instructions burned: 113 (million)
% 5.86/1.77 % (2417638)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=289642861:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.86/1.77 % (2417609)Also succeeded, but the first one will report.
% 5.86/1.77 % (2417608)Refutation found. Thanks to Tanya!
% 5.86/1.77 % SZS status Theorem for theBenchmark
% 5.86/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 7.10/1.96 % (2417608)------------------------------
% 7.10/1.96 % (2417608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.96 % (2417608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.96 % (2417608)CaDiCaL version: 2.1.3
% 7.10/1.96 % (2417608)Termination reason: Refutation
% 7.10/1.96 % (2417608)Time elapsed: 0.520 s
% 7.10/1.96 % (2417608)Peak memory usage: 131 MB
% 7.10/1.96 % (2417608)Instructions burned: 1116 (million)
% 7.10/1.96 % (2417608)------------------------------
% 7.10/1.96 % (2417608)------------------------------
% 7.10/1.96 % (2417603)Success in time 0.928 s
% 7.10/1.96 % Vampire exiting
%------------------------------------------------------------------------------