%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT309+4 : 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 : n003.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 45.49s 10.28s
% Output : Refutation 53.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 44
% Syntax : Number of formulae : 373 ( 32 unt; 11 def)
% Number of atoms : 2090 ( 97 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 2935 (1218 ~;1380 |; 239 &)
% ( 30 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 11 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 2 con; 0-3 aty)
% Number of variables : 485 ( 0 sgn 471 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_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(f18118,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(f18177,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(f18196,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,X1,k6_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_lattices) ).
fof(f18210,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f18216,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(f18226,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f21510,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_filter_0(X3,X0)
=> ( r2_hidden(X1,X3)
=> ( r2_hidden(k3_lattices(X0,X1,X2),X3)
& r2_hidden(k3_lattices(X0,X2,X1),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_filter_0) ).
fof(f21512,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> r2_hidden(k6_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_filter_0) ).
fof(f21515,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f21519,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,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_filter_0) ).
fof(f21520,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,k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_filter_0) ).
fof(f21535,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0)
& r2_hidden(k5_lattices(X0),X1) )
=> ( X1 = k1_filter_0(X0)
& X1 = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_0) ).
fof(f21600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f21603,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_filter_0(k2_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_filter_0) ).
fof(f22747,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(f22752,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(f22780,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(f22828,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f22843,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_lattice2) ).
fof(f22852,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(f34607,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(f34641,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(f34666,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( m2_filter_2(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k3_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_2) ).
fof(f34683,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v13_lattices(X0)
=> r2_hidden(k5_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
fof(f34686,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(f34689,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(f34691,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(f34695,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_filter_2) ).
fof(f34697,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_filter_2) ).
fof(f34698,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34697]) ).
fof(f34996,plain,
? [X0] :
( ? [X1] :
( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( ~ r2_hidden(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34698]) ).
fof(f34997,plain,
? [X0] :
( ? [X1] :
( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( ~ r2_hidden(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34996]) ).
fof(f35005,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(f35006,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f35005]) ).
fof(f35009,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f35021,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f35023,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f35034,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22843]) ).
fof(f35035,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35034]) ).
fof(f35042,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22828]) ).
fof(f35043,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35042]) ).
fof(f35056,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21512]) ).
fof(f35057,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35056]) ).
fof(f35058,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18196]) ).
fof(f35059,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35058]) ).
fof(f35076,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34686]) ).
fof(f35077,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35076]) ).
fof(f35082,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k5_lattices(X0),X1)
| ~ v13_lattices(X0)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34683]) ).
fof(f35083,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k5_lattices(X0),X1)
| ~ v13_lattices(X0)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35082]) ).
fof(f35096,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k3_lattices(X0,X2,X3),X1) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34666]) ).
fof(f35097,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k3_lattices(X0,X2,X3),X1) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35096]) ).
fof(f35100,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,[],[f34607]) ).
fof(f35101,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,[],[f35100]) ).
fof(f35102,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& r2_filter_2(X0,X2)
& m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34695]) ).
fof(f35103,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& r2_filter_2(X0,X2)
& m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35102]) ).
fof(f35130,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f18226]) ).
fof(f35131,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f35130]) ).
fof(f35292,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,[],[f22780]) ).
fof(f35293,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,[],[f35292]) ).
fof(f35336,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,[],[f22752]) ).
fof(f35337,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,[],[f35336]) ).
fof(f35346,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,[],[f18177]) ).
fof(f35347,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,[],[f35346]) ).
fof(f35356,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,[],[f18118]) ).
fof(f35357,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,[],[f35356]) ).
fof(f35374,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,[],[f18216]) ).
fof(f35375,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,[],[f35374]) ).
fof(f35592,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f35605,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f35606,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35605]) ).
fof(f35794,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21600]) ).
fof(f35795,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35794]) ).
fof(f35796,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21515]) ).
fof(f35797,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35796]) ).
fof(f35800,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(k3_lattices(X0,X1,X2),X3)
& r2_hidden(k3_lattices(X0,X2,X1),X3) )
| ~ r2_hidden(X1,X3)
| ~ m1_filter_0(X3,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,[],[f21510]) ).
fof(f35801,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(k3_lattices(X0,X1,X2),X3)
& r2_hidden(k3_lattices(X0,X2,X1),X3) )
| ~ r2_hidden(X1,X3)
| ~ m1_filter_0(X3,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,[],[f35800]) ).
fof(f35892,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18210]) ).
fof(f36440,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f21603]) ).
fof(f36441,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f36440]) ).
fof(f36450,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(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,[],[f21520]) ).
fof(f36451,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(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,[],[f36450]) ).
fof(f36452,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,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,[],[f21519]) ).
fof(f36453,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,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,[],[f36452]) ).
fof(f41089,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_filter_0(X0)
& X1 = u1_struct_0(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21535]) ).
fof(f41090,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_filter_0(X0)
& X1 = u1_struct_0(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f41089]) ).
fof(f41107,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,[],[f34691]) ).
fof(f41108,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,[],[f41107]) ).
fof(f41111,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,[],[f34689]) ).
fof(f41112,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,[],[f41111]) ).
fof(f41113,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f34641]) ).
fof(f41114,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f41113]) ).
fof(f42613,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)) )
| ~ sP10(X0) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f42614,plain,
! [X0] :
( sP10(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f35337,f42613]) ).
fof(f42961,plain,
( v14_lattices(sK250)
& sK251 != k6_lattices(sK250)
& ! [X2] :
( ~ r2_hidden(sK251,X2)
| ~ r2_filter_2(sK250,X2)
| ~ m2_filter_2(X2,sK250) )
& m1_subset_1(sK251,u1_struct_0(sK250))
& ~ v3_struct_0(sK250)
& v10_lattices(sK250)
& l3_lattices(sK250) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK250,sK251]),skolemize(X0,sK250),skolemize(X1,sK251)],[f34997]) ).
fof(f42980,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,[],[f35023]) ).
fof(f42981,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,[],[f42980]) ).
fof(f42982,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK260(X0,X1),X1)
& r2_hidden(sK260(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK260]),skolemize(X2,sK260(X0,X1))],[f42981]) ).
fof(f42992,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35043]) ).
fof(f43020,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_lattices(X0,X2,X3),X1)
| ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) ) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
| ~ r2_hidden(k3_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35097]) ).
fof(f43021,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_lattices(X0,X2,X3),X1)
| ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) ) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
| ~ r2_hidden(k3_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f43020]) ).
fof(f43022,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_lattices(X0,X2,X3),X1)
| ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) ) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( ( r2_hidden(X4,X1)
& r2_hidden(X5,X1) )
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1) ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f43021]) ).
fof(f43023,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ( ( ~ r2_hidden(k3_lattices(X0,sK280(X0,X1),sK281(X0,X1)),X1)
| ~ r2_hidden(sK280(X0,X1),X1)
| ~ r2_hidden(sK281(X0,X1),X1) )
& ( r2_hidden(k3_lattices(X0,sK280(X0,X1),sK281(X0,X1)),X1)
| ( r2_hidden(sK280(X0,X1),X1)
& r2_hidden(sK281(X0,X1),X1) ) )
& m1_subset_1(sK281(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK280(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( ( r2_hidden(X4,X1)
& r2_hidden(X5,X1) )
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1) ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK280,sK281]),skolemize(X2,sK280(X0,X1)),skolemize(X3,sK281(X0,X1))],[f43022]) ).
fof(f43025,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ( r1_tarski(X1,sK283(X0,X1))
& r2_filter_2(X0,sK283(X0,X1))
& m2_filter_2(sK283(X0,X1),X0) )
| ~ m2_filter_2(X1,X0) )
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK283]),skolemize(X2,sK283(X0,X1))],[f35103]) ).
fof(f43080,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)) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f42613]) ).
fof(f43096,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,[],[f35375]) ).
fof(f43526,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k2_filter_0(X0,X2))
| ~ r3_lattices(X0,X2,X1) )
& ( r3_lattices(X0,X2,X1)
| ~ r2_hidden(X1,k2_filter_0(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,[],[f36453]) ).
fof(f45079,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,[],[f41112]) ).
fof(f45737,plain,
l3_lattices(sK250),
inference(cnf_transformation,[],[f42961]) ).
fof(f45738,plain,
v10_lattices(sK250),
inference(cnf_transformation,[],[f42961]) ).
fof(f45739,plain,
~ v3_struct_0(sK250),
inference(cnf_transformation,[],[f42961]) ).
fof(f45740,plain,
m1_subset_1(sK251,u1_struct_0(sK250)),
inference(cnf_transformation,[],[f42961]) ).
fof(f45741,plain,
! [X2] :
( ~ r2_filter_2(sK250,X2)
| ~ r2_hidden(sK251,X2)
| ~ m2_filter_2(X2,sK250) ),
inference(cnf_transformation,[],[f42961]) ).
fof(f45742,plain,
sK251 != k6_lattices(sK250),
inference(cnf_transformation,[],[f42961]) ).
fof(f45743,plain,
v14_lattices(sK250),
inference(cnf_transformation,[],[f42961]) ).
fof(f45755,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f35006]) ).
fof(f45757,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f35009]) ).
fof(f45779,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f35021]) ).
fof(f45782,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f42982]) ).
fof(f45843,plain,
! [X0] :
( ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35035]) ).
fof(f45847,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42992]) ).
fof(f45876,plain,
! [X0,X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35057]) ).
fof(f45877,plain,
! [X0,X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35059]) ).
fof(f45960,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35077]) ).
fof(f45963,plain,
! [X0,X1] :
( r2_hidden(k5_lattices(X0),X1)
| ~ v13_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35083]) ).
fof(f45990,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f43023]) ).
fof(f45998,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35101]) ).
fof(f46000,plain,
! [X0,X1] :
( m2_filter_2(sK283(X0,X1),X0)
| u1_struct_0(X0) = X1
| ~ m2_filter_2(X1,X0)
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f43025]) ).
fof(f46001,plain,
! [X0,X1] :
( r2_filter_2(X0,sK283(X0,X1))
| u1_struct_0(X0) = X1
| ~ m2_filter_2(X1,X0)
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f43025]) ).
fof(f46002,plain,
! [X0,X1] :
( r1_tarski(X1,sK283(X0,X1))
| u1_struct_0(X0) = X1
| ~ m2_filter_2(X1,X0)
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f43025]) ).
fof(f46029,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f35131]) ).
fof(f46230,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f35293]) ).
fof(f46391,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f43080]) ).
fof(f46400,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP10(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42614]) ).
fof(f46426,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,[],[f35347]) ).
fof(f46460,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35357]) ).
fof(f46461,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35357]) ).
fof(f46463,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35357]) ).
fof(f46465,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35357]) ).
fof(f46503,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,[],[f43096]) ).
fof(f46846,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35592]) ).
fof(f46858,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35606]) ).
fof(f47097,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35795]) ).
fof(f47099,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35797]) ).
fof(f47103,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k3_lattices(X0,X1,X2),X3)
| ~ r2_hidden(X1,X3)
| ~ m1_filter_0(X3,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,[],[f35801]) ).
fof(f47204,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f35892]) ).
fof(f48093,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f36441]) ).
fof(f48100,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X1,k2_filter_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36451]) ).
fof(f48102,plain,
! [X2,X0,X1] :
( r2_hidden(X1,k2_filter_0(X0,X2))
| ~ r3_lattices(X0,X2,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(cnf_transformation,[],[f43526]) ).
fof(f54777,plain,
! [X0,X1] :
( u1_struct_0(X0) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f41090]) ).
fof(f54790,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,[],[f41108]) ).
fof(f54793,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,[],[f45079]) ).
fof(f54795,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f41114]) ).
fof(f59427,plain,
! [X0,X1] :
( ~ r2_hidden(k5_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| u1_struct_0(X0) = X1
| ~ m1_filter_0(X1,X0) ),
inference(duplicate_literal_removal,[],[f54777]) ).
fof(f59546,plain,
! [X0,X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(duplicate_literal_removal,[],[f45876]) ).
fof(f60319,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f45990,f45998]) ).
fof(f60515,plain,
! [X0,X1,X4,X5] :
( ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f60319,f45779]) ).
fof(f60779,plain,
( v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| k6_lattices(sK250) = k5_lattices(k1_lattice2(sK250))
| ~ l3_lattices(sK250) ),
inference(resolution,[],[f45743,f45843]) ).
fof(f60780,plain,
! [X0] :
( u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ v14_lattices(sK250)
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ r2_hidden(sK251,sK283(sK250,X0))
| ~ m2_filter_2(sK283(sK250,X0),sK250) ),
inference(resolution,[],[f46001,f45741]) ).
fof(f60781,plain,
( v3_struct_0(sK250)
| u1_struct_0(sK250) = u1_struct_0(k1_lattice2(sK250)) ),
inference(resolution,[],[f46230,f45737]) ).
fof(f60783,plain,
u1_struct_0(sK250) = u1_struct_0(k1_lattice2(sK250)),
inference(forward_subsumption_resolution,[],[f60781,f45739]) ).
fof(f60792,definition,
( spl1873_76
<=> v3_struct_0(k1_lattice2(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_76])],[avatar_definition]) ).
fof(f60793,plain,
( ~ v3_struct_0(k1_lattice2(sK250))
| spl1873_76 ),
inference(avatar_component_clause,[],[f60792]) ).
fof(f60794,plain,
( v3_struct_0(k1_lattice2(sK250))
| ~ spl1873_76 ),
inference(avatar_component_clause,[],[f60792]) ).
fof(f60803,plain,
( v3_struct_0(sK250)
| sP10(sK250)
| ~ l3_lattices(sK250) ),
inference(resolution,[],[f46400,f45738]) ).
fof(f60804,plain,
( sP10(sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f60803,f45739]) ).
fof(f60805,plain,
sP10(sK250),
inference(forward_subsumption_resolution,[],[f60804,f45737]) ).
fof(f60806,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK250,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(resolution,[],[f54790,f45740]) ).
fof(f60829,plain,
! [X0,X1] :
( r2_hidden(X0,k2_filter_0(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(resolution,[],[f48100,f46029]) ).
fof(f60831,plain,
! [X0,X1] :
( r2_hidden(X0,k2_filter_0(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ l2_lattices(X1) ),
inference(duplicate_literal_removal,[],[f60829]) ).
fof(f60833,plain,
l2_lattices(sK250),
inference(resolution,[],[f47204,f45737]) ).
fof(f60889,plain,
! [X2,X0,X1] :
( r2_hidden(X0,sK283(X2,X1))
| ~ r2_hidden(X0,X1)
| u1_struct_0(X2) = X1
| ~ m2_filter_2(X1,X2)
| ~ v14_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f45782,f46002]) ).
fof(f60905,plain,
( ~ v10_lattices(sK250)
| k6_lattices(sK250) = k5_lattices(k1_lattice2(sK250))
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f60779,f45739]) ).
fof(f60906,plain,
! [X0] :
( u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ v14_lattices(sK250)
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ r2_hidden(sK251,sK283(sK250,X0)) ),
inference(forward_subsumption_resolution,[],[f60780,f46000]) ).
fof(f60908,definition,
( spl1873_79
<=> l3_lattices(k1_lattice2(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_79])],[avatar_definition]) ).
fof(f60909,plain,
( l3_lattices(k1_lattice2(sK250))
| ~ spl1873_79 ),
inference(avatar_component_clause,[],[f60908]) ).
fof(f60910,plain,
( ~ l3_lattices(k1_lattice2(sK250))
| spl1873_79 ),
inference(avatar_component_clause,[],[f60908]) ).
fof(f60912,definition,
( spl1873_80
<=> v10_lattices(k1_lattice2(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_80])],[avatar_definition]) ).
fof(f60913,plain,
( v10_lattices(k1_lattice2(sK250))
| ~ spl1873_80 ),
inference(avatar_component_clause,[],[f60912]) ).
fof(f60914,plain,
( ~ v10_lattices(k1_lattice2(sK250))
| spl1873_80 ),
inference(avatar_component_clause,[],[f60912]) ).
fof(f60930,definition,
( spl1873_84
<=> v13_lattices(k1_lattice2(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_84])],[avatar_definition]) ).
fof(f60931,plain,
( v13_lattices(k1_lattice2(sK250))
| ~ spl1873_84 ),
inference(avatar_component_clause,[],[f60930]) ).
fof(f60932,plain,
( ~ v13_lattices(k1_lattice2(sK250))
| spl1873_84 ),
inference(avatar_component_clause,[],[f60930]) ).
fof(f60942,definition,
( spl1873_87
<=> ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_87])],[avatar_definition]) ).
fof(f60943,plain,
( ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ spl1873_87 ),
inference(avatar_component_clause,[],[f60942]) ).
fof(f60946,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK250,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f60806,f45739]) ).
fof(f60962,plain,
! [X0,X1] :
( r2_hidden(X0,k2_filter_0(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f60831,f47204]) ).
fof(f61005,plain,
( k6_lattices(sK250) = k5_lattices(k1_lattice2(sK250))
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f60905,f45738]) ).
fof(f61006,plain,
! [X0] :
( u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ r2_hidden(sK251,sK283(sK250,X0)) ),
inference(forward_subsumption_resolution,[],[f60906,f45743]) ).
fof(f61007,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK250,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f60946,f45738]) ).
fof(f61017,plain,
k6_lattices(sK250) = k5_lattices(k1_lattice2(sK250)),
inference(forward_subsumption_resolution,[],[f61005,f45737]) ).
fof(f61018,plain,
! [X0] :
( u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ r2_hidden(sK251,sK283(sK250,X0)) ),
inference(forward_subsumption_resolution,[],[f61006,f45739]) ).
fof(f61019,plain,
! [X0] :
( r2_hidden(X0,k18_filter_2(sK250,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK250)) ),
inference(forward_subsumption_resolution,[],[f61007,f45737]) ).
fof(f61025,plain,
! [X0] :
( u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ l3_lattices(sK250)
| ~ r2_hidden(sK251,sK283(sK250,X0)) ),
inference(forward_subsumption_resolution,[],[f61018,f45738]) ).
fof(f61027,plain,
! [X0] :
( ~ r2_hidden(sK251,sK283(sK250,X0))
| ~ m2_filter_2(X0,sK250)
| u1_struct_0(sK250) = X0 ),
inference(forward_subsumption_resolution,[],[f61025,f45737]) ).
fof(f61028,plain,
! [X0] :
( r2_hidden(k6_lattices(sK250),X0)
| ~ v13_lattices(k1_lattice2(sK250))
| ~ m2_filter_2(X0,k1_lattice2(sK250))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) ),
inference(superposition,[],[f45963,f61017]) ).
fof(f61029,plain,
! [X0] :
( ~ r2_hidden(k6_lattices(sK250),X0)
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ v13_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| u1_struct_0(k1_lattice2(sK250)) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK250)) ),
inference(superposition,[],[f59427,f61017]) ).
fof(f61031,plain,
( ~ l3_lattices(sK250)
| spl1873_79 ),
inference(resolution,[],[f60910,f46846]) ).
fof(f61032,plain,
( $false
| spl1873_79 ),
inference(forward_subsumption_resolution,[],[f61031,f45737]) ).
fof(f61033,plain,
spl1873_79,
inference(avatar_contradiction_clause,[],[f61032]) ).
fof(f61045,plain,
( v3_struct_0(sK250)
| ~ l3_lattices(sK250)
| ~ spl1873_76 ),
inference(resolution,[],[f60794,f46858]) ).
fof(f61046,plain,
( ~ l3_lattices(sK250)
| ~ spl1873_76 ),
inference(forward_subsumption_resolution,[],[f61045,f45739]) ).
fof(f61047,plain,
( $false
| ~ spl1873_76 ),
inference(forward_subsumption_resolution,[],[f61046,f45737]) ).
fof(f61048,plain,
~ spl1873_76,
inference(avatar_contradiction_clause,[],[f61047]) ).
fof(f61049,plain,
( ~ sP10(sK250)
| spl1873_80 ),
inference(resolution,[],[f60914,f46391]) ).
fof(f61050,plain,
( $false
| spl1873_80 ),
inference(forward_subsumption_resolution,[],[f61049,f60805]) ).
fof(f61051,plain,
spl1873_80,
inference(avatar_contradiction_clause,[],[f61050]) ).
fof(f61100,plain,
( v3_struct_0(sK250)
| ~ l2_lattices(sK250)
| ~ spl1873_87 ),
inference(resolution,[],[f60943,f46029]) ).
fof(f61104,plain,
( ~ l2_lattices(sK250)
| ~ spl1873_87 ),
inference(forward_subsumption_resolution,[],[f61100,f45739]) ).
fof(f61105,plain,
( $false
| ~ spl1873_87 ),
inference(forward_subsumption_resolution,[],[f61104,f60833]) ).
fof(f61106,plain,
~ spl1873_87,
inference(avatar_contradiction_clause,[],[f61105]) ).
fof(f61157,plain,
( ~ v14_lattices(sK250)
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| spl1873_84 ),
inference(resolution,[],[f60932,f45847]) ).
fof(f61158,plain,
( v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61157,f45743]) ).
fof(f61159,plain,
( ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61158,f45739]) ).
fof(f61160,plain,
( ~ l3_lattices(sK250)
| spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61159,f45738]) ).
fof(f61161,plain,
( $false
| spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61160,f45737]) ).
fof(f61162,plain,
spl1873_84,
inference(avatar_contradiction_clause,[],[f61161]) ).
fof(f61165,plain,
( ! [X0] :
( ~ r2_hidden(k6_lattices(sK250),X0)
| ~ v10_lattices(k1_lattice2(sK250))
| ~ v13_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| u1_struct_0(k1_lattice2(sK250)) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK250)) )
| spl1873_76 ),
inference(forward_subsumption_resolution,[],[f61029,f60793]) ).
fof(f61166,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),X0)
| ~ m2_filter_2(X0,k1_lattice2(sK250))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61028,f60931]) ).
fof(f61168,plain,
( ! [X0] :
( ~ r2_hidden(k6_lattices(sK250),X0)
| ~ v13_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| u1_struct_0(k1_lattice2(sK250)) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_80 ),
inference(forward_subsumption_resolution,[],[f61165,f60913]) ).
fof(f61169,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),X0)
| ~ m2_filter_2(X0,k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61166,f60793]) ).
fof(f61171,plain,
( ! [X0] :
( ~ r2_hidden(k6_lattices(sK250),X0)
| ~ l3_lattices(k1_lattice2(sK250))
| u1_struct_0(k1_lattice2(sK250)) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61168,f60931]) ).
fof(f61172,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),X0)
| ~ m2_filter_2(X0,k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61169,f60913]) ).
fof(f61174,plain,
( ! [X0] :
( ~ r2_hidden(k6_lattices(sK250),X0)
| u1_struct_0(k1_lattice2(sK250)) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61171,f60909]) ).
fof(f61175,plain,
( ! [X0] :
( ~ m2_filter_2(X0,k1_lattice2(sK250))
| r2_hidden(k6_lattices(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61172,f60909]) ).
fof(f61177,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK250))
| ~ r2_hidden(k6_lattices(sK250),X0)
| u1_struct_0(sK250) = X0 )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_demodulation,[],[f61174,f60783]) ).
fof(f61190,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),k18_filter_2(k1_lattice2(sK250),X0))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(resolution,[],[f61175,f54795]) ).
fof(f61194,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),k18_filter_2(k1_lattice2(sK250),X0))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61190,f60793]) ).
fof(f61198,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),k18_filter_2(k1_lattice2(sK250),X0))
| ~ l3_lattices(k1_lattice2(sK250))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61194,f60913]) ).
fof(f61202,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),k18_filter_2(k1_lattice2(sK250),X0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61198,f60909]) ).
fof(f61206,plain,
( ! [X0] :
( r2_hidden(k6_lattices(sK250),k18_filter_2(k1_lattice2(sK250),X0))
| ~ m1_subset_1(X0,u1_struct_0(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_demodulation,[],[f61202,f60783]) ).
fof(f61252,definition,
( spl1873_110
<=> m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_110])],[avatar_definition]) ).
fof(f61253,plain,
( ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| spl1873_110 ),
inference(avatar_component_clause,[],[f61252]) ).
fof(f61254,plain,
( m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ spl1873_110 ),
inference(avatar_component_clause,[],[f61252]) ).
fof(f61261,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(resolution,[],[f61206,f54793]) ).
fof(f61263,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61261,f60793]) ).
fof(f61264,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61263,f60913]) ).
fof(f61265,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61264,f60909]) ).
fof(f61266,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_demodulation,[],[f61265,f60783]) ).
fof(f61267,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(duplicate_literal_removal,[],[f61266]) ).
fof(f61268,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_demodulation,[],[f61267,f60783]) ).
fof(f61270,definition,
( spl1873_112
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0) ) ),
introduced(definition,[new_symbols(definition,[spl1873_112])],[avatar_definition]) ).
fof(f61271,plain,
( ! [X0] :
( r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK250)) )
| ~ spl1873_112 ),
inference(avatar_component_clause,[],[f61270]) ).
fof(f61272,plain,
( spl1873_112
| ~ spl1873_110
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(avatar_split_clause,[],[f61268,f60930,f60912,f60908,f60792,f61252,f61270]) ).
fof(f61273,plain,
( v3_struct_0(sK250)
| ~ l2_lattices(sK250)
| spl1873_110 ),
inference(resolution,[],[f61253,f46029]) ).
fof(f61274,plain,
( ~ l2_lattices(sK250)
| spl1873_110 ),
inference(forward_subsumption_resolution,[],[f61273,f45739]) ).
fof(f61275,plain,
( $false
| spl1873_110 ),
inference(forward_subsumption_resolution,[],[f61274,f60833]) ).
fof(f61276,plain,
spl1873_110,
inference(avatar_contradiction_clause,[],[f61275]) ).
fof(f61295,plain,
! [X2,X0,X1] :
( ~ m1_filter_0(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,[],[f45755,f47097]) ).
fof(f61322,plain,
! [X0,X1] :
( m1_subset_1(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(resolution,[],[f45757,f59546]) ).
fof(f61677,plain,
( v3_struct_0(sK250)
| v8_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(resolution,[],[f46461,f45738]) ).
fof(f61683,plain,
( v8_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f61677,f45739]) ).
fof(f61686,plain,
v8_lattices(sK250),
inference(forward_subsumption_resolution,[],[f61683,f45737]) ).
fof(f61759,plain,
( v3_struct_0(sK250)
| v6_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(resolution,[],[f46463,f45738]) ).
fof(f61765,plain,
( v6_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f61759,f45739]) ).
fof(f61768,plain,
v6_lattices(sK250),
inference(forward_subsumption_resolution,[],[f61765,f45737]) ).
fof(f61884,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ r2_hidden(k6_lattices(sK250),k2_filter_0(k1_lattice2(sK250),X0))
| u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(resolution,[],[f48093,f61177]) ).
fof(f61890,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ r2_hidden(k6_lattices(sK250),k2_filter_0(k1_lattice2(sK250),X0))
| u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61884,f60793]) ).
fof(f61891,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(sK250))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ r2_hidden(k6_lattices(sK250),k2_filter_0(k1_lattice2(sK250),X0))
| u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61890,f60913]) ).
fof(f61892,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ r2_hidden(k6_lattices(sK250),k2_filter_0(k1_lattice2(sK250),X0))
| u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_subsumption_resolution,[],[f61891,f60909]) ).
fof(f61893,plain,
( ! [X0] :
( ~ r2_hidden(k6_lattices(sK250),k2_filter_0(k1_lattice2(sK250),X0))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(forward_demodulation,[],[f61892,f60783]) ).
fof(f62286,plain,
( v3_struct_0(sK250)
| v9_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(resolution,[],[f46460,f45738]) ).
fof(f62292,plain,
( v9_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f62286,f45739]) ).
fof(f62295,plain,
v9_lattices(sK250),
inference(forward_subsumption_resolution,[],[f62292,f45737]) ).
fof(f62391,definition,
( spl1873_147
<=> u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_147])],[avatar_definition]) ).
fof(f62393,plain,
( u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| ~ spl1873_147 ),
inference(avatar_component_clause,[],[f62391]) ).
fof(f62422,plain,
! [X0,X1] :
( r1_lattices(X0,X1,k6_lattices(X0))
| 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(k6_lattices(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f46503,f45877]) ).
fof(f62435,plain,
! [X0,X1] :
( r1_lattices(X0,X1,k6_lattices(X0))
| 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(k6_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ v14_lattices(X0) ),
inference(duplicate_literal_removal,[],[f62422]) ).
fof(f62443,plain,
! [X0,X1] :
( r1_lattices(X0,X1,k6_lattices(X0))
| v3_struct_0(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ v14_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f62435,f46463]) ).
fof(f62451,plain,
! [X0,X1] :
( r1_lattices(X0,X1,k6_lattices(X0))
| v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ v14_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f62443,f46461]) ).
fof(f62459,plain,
! [X0,X1] :
( ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_lattices(X0,X1,k6_lattices(X0))
| ~ v10_lattices(X0)
| ~ v14_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f62451,f46460]) ).
fof(f62491,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_lattices(X0,X1,k6_lattices(X0))
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(u1_struct_0(X0),X0) ),
inference(resolution,[],[f62459,f61322]) ).
fof(f62496,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_lattices(X0,X1,k6_lattices(X0))
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ m1_filter_0(u1_struct_0(X0),X0) ),
inference(duplicate_literal_removal,[],[f62491]) ).
fof(f62498,plain,
! [X0,X1] :
( r1_lattices(X0,X1,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f62496,f47099]) ).
fof(f62554,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ r1_lattices(X0,k6_lattices(X0),X1)
| k6_lattices(X0) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(resolution,[],[f62498,f46426]) ).
fof(f62559,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ r1_lattices(X0,k6_lattices(X0),X1)
| k6_lattices(X0) = X1
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(duplicate_literal_removal,[],[f62554]) ).
fof(f62560,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ r1_lattices(X0,k6_lattices(X0),X1)
| k6_lattices(X0) = X1
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f62559,f46465]) ).
fof(f62561,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ r1_lattices(X0,k6_lattices(X0),X1)
| k6_lattices(X0) = X1
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f62560,f46029]) ).
fof(f62562,plain,
! [X0,X1] :
( ~ r1_lattices(X0,k6_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| k6_lattices(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f62561,f47204]) ).
fof(f64418,plain,
! [X0] :
( ~ r2_hidden(sK251,X0)
| u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ v14_lattices(sK250)
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ m2_filter_2(X0,sK250)
| u1_struct_0(sK250) = X0 ),
inference(resolution,[],[f60889,f61027]) ).
fof(f64420,plain,
! [X0] :
( ~ r2_hidden(sK251,X0)
| u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ v14_lattices(sK250)
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(duplicate_literal_removal,[],[f64418]) ).
fof(f64421,plain,
! [X0] :
( ~ r2_hidden(sK251,X0)
| u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f64420,f45743]) ).
fof(f64422,plain,
! [X0] :
( ~ r2_hidden(sK251,X0)
| u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f64421,f45739]) ).
fof(f64423,plain,
! [X0] :
( ~ r2_hidden(sK251,X0)
| u1_struct_0(sK250) = X0
| ~ m2_filter_2(X0,sK250)
| ~ l3_lattices(sK250) ),
inference(forward_subsumption_resolution,[],[f64422,f45738]) ).
fof(f64424,plain,
! [X0] :
( ~ m2_filter_2(X0,sK250)
| u1_struct_0(sK250) = X0
| ~ r2_hidden(sK251,X0) ),
inference(forward_subsumption_resolution,[],[f64423,f45737]) ).
fof(f64428,plain,
! [X0] :
( u1_struct_0(sK250) = k18_filter_2(sK250,X0)
| ~ r2_hidden(sK251,k18_filter_2(sK250,X0))
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ m1_subset_1(X0,u1_struct_0(sK250)) ),
inference(resolution,[],[f64424,f54795]) ).
fof(f64432,plain,
! [X0] :
( u1_struct_0(sK250) = k18_filter_2(sK250,X0)
| ~ r2_hidden(sK251,k18_filter_2(sK250,X0))
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ m1_subset_1(X0,u1_struct_0(sK250)) ),
inference(forward_subsumption_resolution,[],[f64428,f45739]) ).
fof(f64434,plain,
! [X0] :
( u1_struct_0(sK250) = k18_filter_2(sK250,X0)
| ~ r2_hidden(sK251,k18_filter_2(sK250,X0))
| ~ l3_lattices(sK250)
| ~ m1_subset_1(X0,u1_struct_0(sK250)) ),
inference(forward_subsumption_resolution,[],[f64432,f45738]) ).
fof(f64436,plain,
! [X0] :
( ~ r2_hidden(sK251,k18_filter_2(sK250,X0))
| u1_struct_0(sK250) = k18_filter_2(sK250,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK250)) ),
inference(forward_subsumption_resolution,[],[f64434,f45737]) ).
fof(f65028,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f47103,f60515]) ).
fof(f65041,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| r2_hidden(X3,X1)
| ~ m2_filter_2(X1,X2) ),
inference(duplicate_literal_removal,[],[f65028]) ).
fof(f65053,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ r2_hidden(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| r2_hidden(X3,X1)
| ~ m2_filter_2(X1,X2) ),
inference(forward_subsumption_resolution,[],[f65041,f61295]) ).
fof(f65071,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ m1_filter_0(X1,k1_lattice2(sK250))
| ~ r2_hidden(X2,X1)
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| r2_hidden(X0,X1)
| ~ m2_filter_2(X1,k1_lattice2(sK250)) ),
inference(superposition,[],[f65053,f60783]) ).
fof(f65086,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ m1_filter_0(X1,k1_lattice2(sK250))
| ~ r2_hidden(X2,X1)
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| r2_hidden(X0,X1)
| ~ m2_filter_2(X1,k1_lattice2(sK250)) )
| spl1873_76 ),
inference(forward_subsumption_resolution,[],[f65071,f60793]) ).
fof(f65093,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ m1_filter_0(X1,k1_lattice2(sK250))
| ~ r2_hidden(X2,X1)
| ~ l3_lattices(k1_lattice2(sK250))
| r2_hidden(X0,X1)
| ~ m2_filter_2(X1,k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_80 ),
inference(forward_subsumption_resolution,[],[f65086,f60913]) ).
fof(f65098,plain,
( ! [X2,X0,X1] :
( ~ m2_filter_2(X1,k1_lattice2(sK250))
| ~ m1_filter_0(X1,k1_lattice2(sK250))
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(forward_subsumption_resolution,[],[f65093,f60909]) ).
fof(f68207,plain,
( ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84 ),
inference(resolution,[],[f61893,f60962]) ).
fof(f68211,plain,
( u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110 ),
inference(forward_subsumption_resolution,[],[f68207,f61254]) ).
fof(f68215,plain,
( u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110 ),
inference(forward_subsumption_resolution,[],[f68211,f60793]) ).
fof(f68219,plain,
( u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ l3_lattices(k1_lattice2(sK250))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110 ),
inference(forward_subsumption_resolution,[],[f68215,f60913]) ).
fof(f68222,plain,
( u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110 ),
inference(forward_subsumption_resolution,[],[f68219,f60909]) ).
fof(f68226,plain,
( ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110 ),
inference(forward_demodulation,[],[f68222,f60783]) ).
fof(f68228,plain,
( u1_struct_0(sK250) = k2_filter_0(k1_lattice2(sK250),k6_lattices(sK250))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110 ),
inference(forward_subsumption_resolution,[],[f68226,f61254]) ).
fof(f68230,plain,
( spl1873_147
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110 ),
inference(avatar_split_clause,[],[f68228,f61252,f60930,f60912,f60908,f60792,f62391]) ).
fof(f68500,plain,
( ! [X0,X1] :
( ~ m1_filter_0(u1_struct_0(k1_lattice2(sK250)),k1_lattice2(sK250))
| ~ r2_hidden(X0,u1_struct_0(k1_lattice2(sK250)))
| r2_hidden(X1,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X1,u1_struct_0(sK250))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(resolution,[],[f65098,f45960]) ).
fof(f68508,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_struct_0(k1_lattice2(sK250)))
| r2_hidden(X1,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X1,u1_struct_0(sK250))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(forward_subsumption_resolution,[],[f68500,f47099]) ).
fof(f68514,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_struct_0(k1_lattice2(sK250)))
| r2_hidden(X1,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X1,u1_struct_0(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(forward_subsumption_resolution,[],[f68508,f60793]) ).
fof(f68517,definition,
( spl1873_284
<=> ! [X1] :
( r2_hidden(X1,u1_struct_0(sK250))
| ~ m1_subset_1(X1,u1_struct_0(sK250)) ) ),
introduced(definition,[new_symbols(definition,[spl1873_284])],[avatar_definition]) ).
fof(f68518,plain,
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK250))
| r2_hidden(X1,u1_struct_0(sK250)) )
| ~ spl1873_284 ),
inference(avatar_component_clause,[],[f68517]) ).
fof(f68520,definition,
( spl1873_285
<=> ! [X0] : ~ r2_hidden(X0,u1_struct_0(sK250)) ),
introduced(definition,[new_symbols(definition,[spl1873_285])],[avatar_definition]) ).
fof(f68521,plain,
( ! [X0] : ~ r2_hidden(X0,u1_struct_0(sK250))
| ~ spl1873_285 ),
inference(avatar_component_clause,[],[f68520]) ).
fof(f68526,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_struct_0(k1_lattice2(sK250)))
| r2_hidden(X1,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X1,u1_struct_0(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(forward_subsumption_resolution,[],[f68514,f60913]) ).
fof(f68531,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_struct_0(k1_lattice2(sK250)))
| r2_hidden(X1,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X1,u1_struct_0(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(forward_subsumption_resolution,[],[f68526,f60909]) ).
fof(f68534,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_struct_0(sK250))
| r2_hidden(X1,u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X1,u1_struct_0(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(forward_demodulation,[],[f68531,f60783]) ).
fof(f68537,plain,
( ! [X0,X1] :
( r2_hidden(X1,u1_struct_0(sK250))
| ~ r2_hidden(X0,u1_struct_0(sK250))
| ~ m1_subset_1(X1,u1_struct_0(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(forward_demodulation,[],[f68534,f60783]) ).
fof(f68540,plain,
( spl1873_285
| spl1873_284
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80 ),
inference(avatar_split_clause,[],[f68537,f60912,f60908,f60792,f68517,f68520]) ).
fof(f68659,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK250))
| ~ r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| v3_struct_0(k1_lattice2(sK250))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| ~ spl1873_147 ),
inference(superposition,[],[f48102,f62393]) ).
fof(f68663,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK250))
| ~ r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ v10_lattices(k1_lattice2(sK250))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_147 ),
inference(forward_subsumption_resolution,[],[f68659,f60793]) ).
fof(f68670,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK250))
| ~ r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250)))
| ~ l3_lattices(k1_lattice2(sK250)) )
| spl1873_76
| ~ spl1873_80
| ~ spl1873_147 ),
inference(forward_subsumption_resolution,[],[f68663,f60913]) ).
fof(f68677,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK250))
| ~ r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(k1_lattice2(sK250)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_147 ),
inference(forward_subsumption_resolution,[],[f68670,f60909]) ).
fof(f68684,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| r2_hidden(X0,u1_struct_0(sK250))
| ~ r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_147 ),
inference(forward_demodulation,[],[f68677,f60783]) ).
fof(f68691,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK250))
| ~ r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK250))) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_110
| ~ spl1873_147 ),
inference(forward_subsumption_resolution,[],[f68684,f61254]) ).
fof(f68698,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r2_hidden(X0,u1_struct_0(sK250))
| ~ r3_lattices(k1_lattice2(sK250),k6_lattices(sK250),X0) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_110
| ~ spl1873_147 ),
inference(forward_demodulation,[],[f68691,f60783]) ).
fof(f68980,plain,
( u1_struct_0(sK250) = k18_filter_2(sK250,sK251)
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ m1_subset_1(sK251,u1_struct_0(sK250)) ),
inference(resolution,[],[f64436,f61019]) ).
fof(f68986,plain,
( u1_struct_0(sK250) = k18_filter_2(sK250,sK251)
| ~ m1_subset_1(sK251,u1_struct_0(sK250)) ),
inference(duplicate_literal_removal,[],[f68980]) ).
fof(f68989,plain,
u1_struct_0(sK250) = k18_filter_2(sK250,sK251),
inference(forward_subsumption_resolution,[],[f68986,f45740]) ).
fof(f69001,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK250))
| r3_lattices(sK250,X0,sK251)
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) ),
inference(superposition,[],[f54793,f68989]) ).
fof(f69009,plain,
( ! [X0] :
( r3_lattices(sK250,X0,sK251)
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) )
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69001,f68518]) ).
fof(f69013,plain,
( ! [X0] :
( r3_lattices(sK250,X0,sK251)
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) )
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69009,f45740]) ).
fof(f69017,plain,
( ! [X0] :
( r3_lattices(sK250,X0,sK251)
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ v10_lattices(sK250)
| ~ l3_lattices(sK250) )
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69013,f45739]) ).
fof(f69021,plain,
( ! [X0] :
( r3_lattices(sK250,X0,sK251)
| ~ m1_subset_1(X0,u1_struct_0(sK250))
| ~ l3_lattices(sK250) )
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69017,f45738]) ).
fof(f69025,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r3_lattices(sK250,X0,sK251) )
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69021,f45737]) ).
fof(f69030,plain,
( r3_lattices(sK250,k6_lattices(sK250),sK251)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(resolution,[],[f69025,f61254]) ).
fof(f69083,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| v3_struct_0(sK250)
| ~ v6_lattices(sK250)
| ~ v8_lattices(sK250)
| ~ v9_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ spl1873_110
| ~ spl1873_284 ),
inference(resolution,[],[f69030,f46503]) ).
fof(f69086,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| ~ v6_lattices(sK250)
| ~ v8_lattices(sK250)
| ~ v9_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69083,f45739]) ).
fof(f69089,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| ~ v8_lattices(sK250)
| ~ v9_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69086,f61768]) ).
fof(f69092,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| ~ v9_lattices(sK250)
| ~ l3_lattices(sK250)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69089,f61686]) ).
fof(f69095,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| ~ l3_lattices(sK250)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69092,f62295]) ).
fof(f69098,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| ~ m1_subset_1(k6_lattices(sK250),u1_struct_0(sK250))
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69095,f45737]) ).
fof(f69101,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| ~ m1_subset_1(sK251,u1_struct_0(sK250))
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69098,f61254]) ).
fof(f69103,plain,
( r1_lattices(sK250,k6_lattices(sK250),sK251)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69101,f45740]) ).
fof(f69105,plain,
( ~ m1_subset_1(sK251,u1_struct_0(sK250))
| v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ v14_lattices(sK250)
| ~ l3_lattices(sK250)
| sK251 = k6_lattices(sK250)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(resolution,[],[f69103,f62562]) ).
fof(f69111,plain,
( v3_struct_0(sK250)
| ~ v10_lattices(sK250)
| ~ v14_lattices(sK250)
| ~ l3_lattices(sK250)
| sK251 = k6_lattices(sK250)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69105,f45740]) ).
fof(f69115,plain,
( ~ v10_lattices(sK250)
| ~ v14_lattices(sK250)
| ~ l3_lattices(sK250)
| sK251 = k6_lattices(sK250)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69111,f45739]) ).
fof(f69120,plain,
( ~ v14_lattices(sK250)
| ~ l3_lattices(sK250)
| sK251 = k6_lattices(sK250)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69115,f45738]) ).
fof(f69123,plain,
( ~ l3_lattices(sK250)
| sK251 = k6_lattices(sK250)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69120,f45743]) ).
fof(f69126,plain,
( sK251 = k6_lattices(sK250)
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69123,f45737]) ).
fof(f69129,plain,
( $false
| ~ spl1873_110
| ~ spl1873_284 ),
inference(forward_subsumption_resolution,[],[f69126,f45742]) ).
fof(f69130,plain,
( ~ spl1873_110
| ~ spl1873_284 ),
inference(avatar_contradiction_clause,[],[f69129]) ).
fof(f69133,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK250))
| r2_hidden(X0,u1_struct_0(sK250)) )
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_110
| ~ spl1873_112
| ~ spl1873_147 ),
inference(forward_subsumption_resolution,[],[f68698,f61271]) ).
fof(f69136,plain,
( ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK250))
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_110
| ~ spl1873_112
| ~ spl1873_147
| ~ spl1873_285 ),
inference(forward_subsumption_resolution,[],[f69133,f68521]) ).
fof(f69138,plain,
( spl1873_87
| spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_110
| ~ spl1873_112
| ~ spl1873_147
| ~ spl1873_285 ),
inference(avatar_split_clause,[],[f69136,f68520,f62391,f61270,f61252,f60912,f60908,f60792,f60942]) ).
cnf(s73,plain,
spl1873_79,
inference(sat_conversion,[],[f61033]) ).
cnf(s76,plain,
~ spl1873_76,
inference(sat_conversion,[],[f61048]) ).
cnf(s77,plain,
spl1873_80,
inference(sat_conversion,[],[f61051]) ).
cnf(s80,plain,
~ spl1873_87,
inference(sat_conversion,[],[f61106]) ).
cnf(s84,plain,
spl1873_84,
inference(sat_conversion,[],[f61162]) ).
cnf(s89,plain,
( spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110
| spl1873_112 ),
inference(sat_conversion,[],[f61272]) ).
cnf(s90,plain,
spl1873_110,
inference(sat_conversion,[],[f61276]) ).
cnf(s228,plain,
( spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| ~ spl1873_110
| spl1873_147 ),
inference(sat_conversion,[],[f68230]) ).
cnf(s230,plain,
( spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| spl1873_284
| spl1873_285 ),
inference(sat_conversion,[],[f68540]) ).
cnf(s235,plain,
( ~ spl1873_110
| ~ spl1873_284 ),
inference(sat_conversion,[],[f69130]) ).
cnf(s237,plain,
( spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| spl1873_87
| ~ spl1873_110
| ~ spl1873_112
| ~ spl1873_147
| ~ spl1873_285 ),
inference(sat_conversion,[],[f69138]) ).
cnf(s247,plain,
~ spl1873_284,
inference(rat,[],[s235,s90]) ).
cnf(s250,plain,
( spl1873_76
| ~ spl1873_79
| ~ spl1873_80
| ~ spl1873_84
| spl1873_112 ),
inference(rat,[],[s89,s90]) ).
cnf(s252,plain,
spl1873_285,
inference(rat,[],[s230,s76,s247,s77,s73]) ).
cnf(s253,plain,
spl1873_147,
inference(rat,[],[s228,s76,s90,s84,s77,s73]) ).
cnf(s259,plain,
spl1873_112,
inference(rat,[],[s250,s76,s84,s77,s73]) ).
cnf(s262,plain,
$false,
inference(rat,[],[s237,s252,s73,s76,s90,s80,s77,s253,s259]) ).
fof(f69142,plain,
$false,
inference(avatar_sat_refutation,[],[s262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT309+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:30:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 17.34/5.21 % (594347)Detected formulas, will run a generic FOF schedule.
% 17.34/5.21 % (594354)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=3748444991:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 17.34/5.21 % (594353)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=3913081788:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 17.34/5.21 % (594352)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=4287372108:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 17.34/5.21 % (594356)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3321694435:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 17.34/5.21 % (594355)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2965671574:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 17.34/5.21 % (594358)dis-21_1_sil=8000:lcm=predicate:random_seed=3701496452:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 17.34/5.21 % (594357)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4135618901:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 17.34/5.21 % (594357)Instruction limit reached!
% 17.34/5.21 % (594357)------------------------------
% 17.34/5.21 % (594357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.34/5.21 % (594357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/5.21 % (594357)CaDiCaL version: 2.1.3
% 17.34/5.21 % (594357)Termination reason: Instruction limit
% 17.34/5.21 % (594357)Termination phase: Property scanning
% 17.34/5.21 % (594357)Time elapsed: 0.062 s
% 17.34/5.21 % (594357)Peak memory usage: 136 MB
% 17.34/5.21 % (594357)Instructions burned: 140 (million)
% 17.34/5.21 % (594355)Instruction limit reached!
% 17.34/5.21 % (594355)------------------------------
% 17.34/5.21 % (594355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.34/5.21 % (594355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/5.21 % (594355)CaDiCaL version: 2.1.3
% 17.34/5.21 % (594355)Termination reason: Instruction limit
% 17.34/5.21 % (594355)Termination phase: SInE selection
% 17.34/5.21 % (594355)Time elapsed: 0.079 s
% 17.34/5.21 % (594355)Peak memory usage: 136 MB
% 17.34/5.21 % (594355)Instructions burned: 110 (million)
% 17.34/5.21 % (594356)Instruction limit reached!
% 17.34/5.21 % (594356)------------------------------
% 17.34/5.21 % (594356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.34/5.21 % (594356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/5.21 % (594356)CaDiCaL version: 2.1.3
% 17.34/5.21 % (594356)Termination reason: Instruction limit
% 17.34/5.21 % (594356)Termination phase: SInE selection
% 17.34/5.21 % (594356)Time elapsed: 0.084 s
% 17.34/5.21 % (594356)Peak memory usage: 136 MB
% 17.34/5.21 % (594356)Instructions burned: 119 (million)
% 17.34/5.21 % (594358)Instruction limit reached!
% 17.34/5.21 % (594358)------------------------------
% 17.34/5.21 % (594358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.34/5.21 % (594358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/5.21 % (594358)CaDiCaL version: 2.1.3
% 17.34/5.21 % (594358)Termination reason: Instruction limit
% 17.34/5.21 % (594358)Termination phase: SInE selection
% 17.34/5.21 % (594358)Time elapsed: 0.088 s
% 17.34/5.21 % (594358)Peak memory usage: 136 MB
% 17.34/5.21 % (594358)Instructions burned: 129 (million)
% 17.34/5.21 % (594366)lrs+10_1_sil=8000:sp=occurrence:random_seed=1780752124:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 17.34/5.21 % (594369)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=601239492:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 17.34/5.21 % (594368)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3221362380:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 17.34/5.21 % (594367)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1099562423:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 17.34/5.21 % (594367)Instruction limit reached!
% 17.34/5.21 % (594367)------------------------------
% 24.93/6.29 % (594367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/6.29 % (594367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/6.29 % (594367)CaDiCaL version: 2.1.3
% 24.93/6.29 % (594367)Termination reason: Instruction limit
% 24.93/6.29 % (594367)Termination phase: Property scanning
% 24.93/6.29 % (594367)Time elapsed: 0.068 s
% 24.93/6.29 % (594367)Peak memory usage: 136 MB
% 24.93/6.29 % (594367)Instructions burned: 157 (million)
% 24.93/6.29 % (594369)Instruction limit reached!
% 24.93/6.29 % (594369)------------------------------
% 24.93/6.29 % (594369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/6.29 % (594369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/6.29 % (594369)CaDiCaL version: 2.1.3
% 24.93/6.29 % (594369)Termination reason: Instruction limit
% 24.93/6.29 % (594369)Termination phase: Property scanning
% 24.93/6.29 % (594369)Time elapsed: 0.106 s
% 24.93/6.29 % (594369)Peak memory usage: 136 MB
% 24.93/6.29 % (594369)Instructions burned: 248 (million)
% 24.93/6.29 % (594374)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=927064939:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 24.93/6.29 % (594366)Instruction limit reached!
% 24.93/6.29 % (594366)------------------------------
% 24.93/6.29 % (594366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/6.29 % (594366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/6.29 % (594366)CaDiCaL version: 2.1.3
% 24.93/6.29 % (594366)Termination reason: Instruction limit
% 24.93/6.29 % (594366)Termination phase: Saturation
% 24.93/6.29 % (594366)Time elapsed: 0.228 s
% 24.93/6.29 % (594366)Peak memory usage: 141 MB
% 24.93/6.29 % (594366)Instructions burned: 285 (million)
% 24.93/6.29 % (594375)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2415175124:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 24.93/6.29 % (594368)Instruction limit reached!
% 24.93/6.29 % (594368)------------------------------
% 24.93/6.29 % (594368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/6.29 % (594368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/6.29 % (594368)CaDiCaL version: 2.1.3
% 24.93/6.29 % (594368)Termination reason: Instruction limit
% 24.93/6.29 % (594368)Termination phase: Saturation
% 24.93/6.29 % (594368)Time elapsed: 0.257 s
% 24.93/6.29 % (594368)Peak memory usage: 142 MB
% 24.93/6.29 % (594368)Instructions burned: 325 (million)
% 24.93/6.29 % (594377)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3820416094:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 24.93/6.29 % (594374)Instruction limit reached!
% 24.93/6.29 % (594374)------------------------------
% 24.93/6.29 % (594374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/6.29 % (594374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/6.29 % (594374)CaDiCaL version: 2.1.3
% 24.93/6.29 % (594374)Termination reason: Instruction limit
% 24.93/6.29 % (594374)Termination phase: SInE selection
% 24.93/6.29 % (594374)Time elapsed: 0.182 s
% 24.93/6.29 % (594374)Peak memory usage: 137 MB
% 24.93/6.29 % (594374)Instructions burned: 294 (million)
% 24.93/6.29 % (594379)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3351748090:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 24.93/6.29 % (594377)Instruction limit reached!
% 24.93/6.29 % (594377)------------------------------
% 24.93/6.29 % (594377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/6.29 % (594377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/6.29 % (594377)CaDiCaL version: 2.1.3
% 24.93/6.29 % (594377)Termination reason: Instruction limit
% 24.93/6.29 % (594377)Termination phase: SInE selection
% 24.93/6.29 % (594377)Time elapsed: 0.090 s
% 24.93/6.29 % (594377)Peak memory usage: 136 MB
% 24.93/6.29 % (594377)Instructions burned: 113 (million)
% 24.93/6.29 % (594379)Instruction limit reached!
% 24.93/6.29 % (594379)------------------------------
% 24.93/6.29 % (594379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/6.29 % (594379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/6.29 % (594379)CaDiCaL version: 2.1.3
% 24.93/6.29 % (594379)Termination reason: Instruction limit
% 24.93/6.29 % (594379)Termination phase: Preprocessing 1
% 24.93/6.29 % (594379)Time elapsed: 0.096 s
% 45.49/10.28 % (594379)Peak memory usage: 137 MB
% 45.49/10.28 % (594379)Instructions burned: 128 (million)
% 45.49/10.28 % (594381)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3601065448:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 45.49/10.28 % (594381)Instruction limit reached!
% 45.49/10.28 % (594381)------------------------------
% 45.49/10.28 % (594381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594381)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594381)Termination reason: Instruction limit
% 45.49/10.28 % (594381)Termination phase: Property scanning
% 45.49/10.28 % (594381)Time elapsed: 0.052 s
% 45.49/10.28 % (594381)Peak memory usage: 136 MB
% 45.49/10.28 % (594381)Instructions burned: 114 (million)
% 45.49/10.28 % (594383)lrs+10_1_sil=8000:sp=occurrence:random_seed=3561850057:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 45.49/10.28 % (594384)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3963941119:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 45.49/10.28 % (594386)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3837944756:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 45.49/10.28 % (594384)Instruction limit reached!
% 45.49/10.28 % (594384)------------------------------
% 45.49/10.28 % (594384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594384)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594384)Termination reason: Instruction limit
% 45.49/10.28 % (594384)Termination phase: Saturation
% 45.49/10.28 % (594384)Time elapsed: 0.306 s
% 45.49/10.28 % (594384)Peak memory usage: 143 MB
% 45.49/10.28 % (594384)Instructions burned: 437 (million)
% 45.49/10.28 % (594390)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=240555187:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2964 on theBenchmark for (2964ds/134Mi)
% 45.49/10.28 % (594390)Instruction limit reached!
% 45.49/10.28 % (594390)------------------------------
% 45.49/10.28 % (594390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594390)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594390)Termination reason: Instruction limit
% 45.49/10.28 % (594390)Termination phase: SInE selection
% 45.49/10.28 % (594390)Time elapsed: 0.103 s
% 45.49/10.28 % (594390)Peak memory usage: 136 MB
% 45.49/10.28 % (594390)Instructions burned: 135 (million)
% 45.49/10.28 % (594383)Instruction limit reached!
% 45.49/10.28 % (594383)------------------------------
% 45.49/10.28 % (594383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594383)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594383)Termination reason: Instruction limit
% 45.49/10.28 % (594383)Termination phase: Property scanning
% 45.49/10.28 % (594383)Time elapsed: 0.605 s
% 45.49/10.28 % (594383)Peak memory usage: 157 MB
% 45.49/10.28 % (594383)Instructions burned: 909 (million)
% 45.49/10.28 % (594392)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1529714974:st=8:i=592:sd=3:ep=RST:ss=axioms_2962 on theBenchmark for (2962ds/592Mi)
% 45.49/10.28 % (594393)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3467975123:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 45.49/10.28 % (594392)Instruction limit reached!
% 45.49/10.28 % (594392)------------------------------
% 45.49/10.28 % (594392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594392)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594392)Termination reason: Instruction limit
% 45.49/10.28 % (594392)Termination phase: Preprocessing 2
% 45.49/10.28 % (594392)Time elapsed: 0.440 s
% 45.49/10.28 % (594392)Peak memory usage: 152 MB
% 45.49/10.28 % (594392)Instructions burned: 592 (million)
% 45.49/10.28 % (594375)Instruction limit reached!
% 45.49/10.28 % (594375)------------------------------
% 45.49/10.28 % (594375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594375)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594375)Termination reason: Instruction limit
% 45.49/10.28 % (594375)Termination phase: Property scanning
% 45.49/10.28 % (594375)Time elapsed: 1.536 s
% 45.49/10.28 % (594375)Peak memory usage: 233 MB
% 45.49/10.28 % (594375)Instructions burned: 2350 (million)
% 45.49/10.28 % (594396)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=2998002137:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/125Mi)
% 45.49/10.28 % (594397)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2130563894:i=134:gtgl=5:slsql=off:gtg=exists_sym_2956 on theBenchmark for (2956ds/134Mi)
% 45.49/10.28 % (594396)Instruction limit reached!
% 45.49/10.28 % (594396)------------------------------
% 45.49/10.28 % (594396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594396)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594396)Termination reason: Instruction limit
% 45.49/10.28 % (594396)Termination phase: Property scanning
% 45.49/10.28 % (594396)Time elapsed: 0.056 s
% 45.49/10.28 % (594396)Peak memory usage: 136 MB
% 45.49/10.28 % (594396)Instructions burned: 127 (million)
% 45.49/10.28 % (594397)Instruction limit reached!
% 45.49/10.28 % (594397)------------------------------
% 45.49/10.28 % (594397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594397)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594397)Termination reason: Instruction limit
% 45.49/10.28 % (594397)Termination phase: Property scanning
% 45.49/10.28 % (594397)Time elapsed: 0.060 s
% 45.49/10.28 % (594397)Peak memory usage: 136 MB
% 45.49/10.28 % (594397)Instructions burned: 135 (million)
% 45.49/10.28 % (594400)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=288711638:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2954 on theBenchmark for (2954ds/141Mi)
% 45.49/10.28 % (594401)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3886164370:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2954 on theBenchmark for (2954ds/431Mi)
% 45.49/10.28 % (594400)Instruction limit reached!
% 45.49/10.28 % (594400)------------------------------
% 45.49/10.28 % (594400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594400)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594400)Termination reason: Instruction limit
% 45.49/10.28 % (594400)Termination phase: SInE selection
% 45.49/10.28 % (594400)Time elapsed: 0.104 s
% 45.49/10.28 % (594400)Peak memory usage: 136 MB
% 45.49/10.28 % (594400)Instructions burned: 142 (million)
% 45.49/10.28 % (594404)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=102090705:i=6060:aac=none:ins=25_2952 on theBenchmark for (2952ds/6060Mi)
% 45.49/10.28 % (594401)Instruction limit reached!
% 45.49/10.28 % (594401)------------------------------
% 45.49/10.28 % (594401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594401)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594401)Termination reason: Instruction limit
% 45.49/10.28 % (594401)Termination phase: Saturation
% 45.49/10.28 % (594401)Time elapsed: 0.313 s
% 45.49/10.28 % (594401)Peak memory usage: 143 MB
% 45.49/10.28 % (594401)Instructions burned: 433 (million)
% 45.49/10.28 % (594406)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=2866917841:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2949 on theBenchmark for (2949ds/150Mi)
% 45.49/10.28 % (594406)Instruction limit reached!
% 45.49/10.28 % (594406)------------------------------
% 45.49/10.28 % (594406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594406)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594406)Termination reason: Instruction limit
% 45.49/10.28 % (594406)Termination phase: SInE selection
% 45.49/10.28 % (594406)Time elapsed: 0.115 s
% 45.49/10.28 % (594406)Peak memory usage: 136 MB
% 45.49/10.28 % (594406)Instructions burned: 150 (million)
% 45.49/10.28 % (594408)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=474346758:i=14155:bd=all_2947 on theBenchmark for (2947ds/14155Mi)
% 45.49/10.28 % (594386)Instruction limit reached!
% 45.49/10.28 % (594386)------------------------------
% 45.49/10.28 % (594386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594386)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594386)Termination reason: Instruction limit
% 45.49/10.28 % (594386)Termination phase: Saturation
% 45.49/10.28 % (594386)Time elapsed: 3.796 s
% 45.49/10.28 % (594386)Peak memory usage: 524 MB
% 45.49/10.28 % (594386)Instructions burned: 5203 (million)
% 45.49/10.28 % (594410)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=480046159:i=667:av=off:fsr=off_2928 on theBenchmark for (2928ds/667Mi)
% 45.49/10.28 % (594410)Instruction limit reached!
% 45.49/10.28 % (594410)------------------------------
% 45.49/10.28 % (594410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594410)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594410)Termination reason: Instruction limit
% 45.49/10.28 % (594410)Termination phase: NewCNF
% 45.49/10.28 % (594410)Time elapsed: 0.531 s
% 45.49/10.28 % (594410)Peak memory usage: 186 MB
% 45.49/10.28 % (594410)Instructions burned: 667 (million)
% 45.49/10.28 % (594412)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=1905787568:s2a=on:i=185:s2at=1.8:fdi=4_2921 on theBenchmark for (2921ds/185Mi)
% 45.49/10.28 % (594412)Instruction limit reached!
% 45.49/10.28 % (594412)------------------------------
% 45.49/10.28 % (594412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594412)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594412)Termination reason: Instruction limit
% 45.49/10.28 % (594412)Termination phase: SInE selection
% 45.49/10.28 % (594412)Time elapsed: 0.133 s
% 45.49/10.28 % (594412)Peak memory usage: 136 MB
% 45.49/10.28 % (594412)Instructions burned: 185 (million)
% 45.49/10.28 % (594414)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2244124994:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2919 on theBenchmark for (2919ds/193Mi)
% 45.49/10.28 % (594414)Instruction limit reached!
% 45.49/10.28 % (594414)------------------------------
% 45.49/10.28 % (594414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594414)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594414)Termination reason: Instruction limit
% 45.49/10.28 % (594414)Termination phase: SInE selection
% 45.49/10.28 % (594414)Time elapsed: 0.147 s
% 45.49/10.28 % (594414)Peak memory usage: 136 MB
% 45.49/10.28 % (594414)Instructions burned: 194 (million)
% 45.49/10.28 % (594416)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3737145162:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2916 on theBenchmark for (2916ds/4850Mi)
% 45.49/10.28 % (594404)Instruction limit reached!
% 45.49/10.28 % (594404)------------------------------
% 45.49/10.28 % (594404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.49/10.28 % (594404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.49/10.28 % (594404)CaDiCaL version: 2.1.3
% 45.49/10.28 % (594404)Termination reason: Instruction limit
% 45.49/10.28 % (594404)Termination phase: Function definition elimination
% 45.49/10.28 % (594404)Time elapsed: 3.839 s
% 45.49/10.28 % (594404)Peak memory usage: 244 MB
% 45.49/10.28 % (594404)Instructions burned: 6061 (million)
% 45.49/10.28 % (594418)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2061614895:i=12111:sd=1:ss=included_2912 on theBenchmark for (2912ds/12111Mi)
% 45.49/10.28 % (594393)First to succeed.
% 45.49/10.28 % (594393)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-594347"
% 45.49/10.28 % (594393)Refutation found. Thanks to Tanya!
% 45.49/10.28 % SZS status Theorem for theBenchmark
% 45.49/10.28 % SZS output start Proof for theBenchmark
% See solution above
% 53.46/10.46 % (594393)------------------------------
% 53.46/10.46 % (594393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.46/10.46 % (594393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.46/10.46 % (594393)CaDiCaL version: 2.1.3
% 53.46/10.46 % (594393)Termination reason: Refutation
% 53.46/10.46 % (594393)Time elapsed: 5.079 s
% 53.46/10.46 % (594393)Peak memory usage: 333 MB
% 53.46/10.46 % (594393)Instructions burned: 8307 (million)
% 53.46/10.46 % (594393)------------------------------
% 53.46/10.46 % (594393)------------------------------
% 53.46/10.46 % (594347)Success in time 9.412 s
% 53.46/10.46 % Vampire exiting
%------------------------------------------------------------------------------