%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT339+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:47:05 AM UTC 2026
% Result : Theorem 28.23s 10.86s
% Output : Refutation 64.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 44
% Syntax : Number of formulae : 326 ( 34 unt; 14 def)
% Number of atoms : 1453 ( 126 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1841 ( 714 ~; 844 |; 231 &)
% ( 15 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 13 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-2 aty)
% Number of variables : 252 ( 0 sgn 250 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] : r1_tarski(k1_xboole_0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f3551,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f6435,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f6650,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f6709,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_lattices(X0,X1,X2)
& r1_lattices(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
fof(f6728,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(f6740,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f6742,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f6748,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f6787,axiom,
! [X0] :
( l1_struct_0(X0)
=> k1_pre_topc(X0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pre_topc) ).
fof(f6853,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9392,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_lattices(X0)
& l3_lattices(X0) )
=> k1_lattice2(k1_lattice2(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lattice2) ).
fof(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f11620,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v4_lattice3(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k15_lattice3(X0,k1_struct_0(X0,X1)) = X1
& k16_lattice3(X0,k1_struct_0(X0,X1)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lattice3) ).
fof(f11622,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v4_lattice3(X0)
& l3_lattices(X0) )
=> ! [X1,X2] :
( r1_tarski(X1,X2)
=> ( r3_lattices(X0,k15_lattice3(X0,X1),k15_lattice3(X0,X2))
& r3_lattices(X0,k16_lattice3(X0,X2),k16_lattice3(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_lattice3) ).
fof(f11624,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v4_lattice3(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0)
& k5_lattices(X0) = k15_lattice3(X0,k1_xboole_0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_lattice3) ).
fof(f11625,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v4_lattice3(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0)
& k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_lattice3) ).
fof(f11649,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(f11650,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(f17897,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_conlat_1) ).
fof(f17900,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_conlat_1) ).
fof(f17929,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f18293,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_2) ).
fof(f18294,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( k5_lattices(k11_conlat_1(X0)) = k6_conlat_1(X0)
& k6_lattices(k11_conlat_1(X0)) = k5_conlat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_conlat_2) ).
fof(f18298,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_conlat_2) ).
fof(f18299,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_conlat_2) ).
fof(f18300,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( k3_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k6_conlat_1(X0)
& k2_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k5_conlat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_conlat_2) ).
fof(f18301,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( k3_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k6_conlat_1(X0)
& k2_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k5_conlat_1(X0) ) ),
inference(negated_conjecture,[status(cth)],[f18300]) ).
fof(f18523,plain,
? [X0] :
( ( k6_conlat_1(X0) != k3_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0)))
| k5_conlat_1(X0) != k2_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18301]) ).
fof(f18524,plain,
? [X0] :
( ( k6_conlat_1(X0) != k3_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0)))
| k5_conlat_1(X0) != k2_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f18523]) ).
fof(f18567,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6853]) ).
fof(f18571,plain,
! [X0] :
( k1_pre_topc(X0) = k1_xboole_0
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6787]) ).
fof(f18575,plain,
! [X0] :
( ( k5_lattices(k11_conlat_1(X0)) = k6_conlat_1(X0)
& k6_lattices(k11_conlat_1(X0)) = k5_conlat_1(X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18294]) ).
fof(f18576,plain,
! [X0] :
( ( k5_lattices(k11_conlat_1(X0)) = k6_conlat_1(X0)
& k6_lattices(k11_conlat_1(X0)) = k5_conlat_1(X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18575]) ).
fof(f18577,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18293]) ).
fof(f18578,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18577]) ).
fof(f18579,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f17929]) ).
fof(f18580,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18579]) ).
fof(f18581,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f17900]) ).
fof(f18582,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18581]) ).
fof(f18583,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f17897]) ).
fof(f18584,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18583]) ).
fof(f18615,plain,
! [X0] :
( ! [X1] :
( k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18298]) ).
fof(f18616,plain,
! [X0] :
( ! [X1] :
( k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18615]) ).
fof(f18619,plain,
! [X0] :
( ! [X1] :
( k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18299]) ).
fof(f18620,plain,
! [X0] :
( ! [X1] :
( k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18619]) ).
fof(f19995,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f6435]) ).
fof(f19996,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f19995]) ).
fof(f20006,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f11649]) ).
fof(f20007,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20006]) ).
fof(f20008,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0)
& k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f11625]) ).
fof(f20009,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0)
& k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20008]) ).
fof(f20010,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0)
& k5_lattices(X0) = k15_lattice3(X0,k1_xboole_0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f11624]) ).
fof(f20011,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0)
& k5_lattices(X0) = k15_lattice3(X0,k1_xboole_0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20010]) ).
fof(f20014,plain,
! [X0] :
( ! [X1,X2] :
( ( r3_lattices(X0,k15_lattice3(X0,X1),k15_lattice3(X0,X2))
& r3_lattices(X0,k16_lattice3(X0,X2),k16_lattice3(X0,X1)) )
| ~ r1_tarski(X1,X2) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f11622]) ).
fof(f20015,plain,
! [X0] :
( ! [X1,X2] :
( ( r3_lattices(X0,k15_lattice3(X0,X1),k15_lattice3(X0,X2))
& r3_lattices(X0,k16_lattice3(X0,X2),k16_lattice3(X0,X1)) )
| ~ r1_tarski(X1,X2) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20014]) ).
fof(f20018,plain,
! [X0] :
( ! [X1] :
( ( k15_lattice3(X0,k1_struct_0(X0,X1)) = X1
& k16_lattice3(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f11620]) ).
fof(f20019,plain,
! [X0] :
( ! [X1] :
( ( k15_lattice3(X0,k1_struct_0(X0,X1)) = X1
& k16_lattice3(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20018]) ).
fof(f20022,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f11650]) ).
fof(f20023,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20022]) ).
fof(f20100,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,[],[f6728]) ).
fof(f20101,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,[],[f20100]) ).
fof(f20122,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f20123,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = X0
| v3_struct_0(X0)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9392]) ).
fof(f20124,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = X0
| v3_struct_0(X0)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20123]) ).
fof(f20125,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9363]) ).
fof(f20126,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,[],[f20125]) ).
fof(f20127,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f20128,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f20127]) ).
fof(f20155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f6709]) ).
fof(f20156,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,[],[f20155]) ).
fof(f20163,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6650]) ).
fof(f20164,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,[],[f20163]) ).
fof(f20185,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f6748]) ).
fof(f20186,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,[],[f20185]) ).
fof(f25285,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6742]) ).
fof(f25371,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f6740]) ).
fof(f25797,definition,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f25798,plain,
! [X0] :
( sP2(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(definition_folding,[],[f18578,f25797]) ).
fof(f25900,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)) )
| ~ sP65(X0) ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f25901,plain,
! [X0] :
( sP65(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f20126,f25900]) ).
fof(f26217,plain,
( ( k6_conlat_1(sK248) != k3_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248)))
| k5_conlat_1(sK248) != k2_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) )
& ~ v3_conlat_1(sK248)
& l2_conlat_1(sK248) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK248]),skolemize(X0,sK248)],[f18524]) ).
fof(f26232,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f25797]) ).
fof(f26878,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)) )
| ~ sP65(X0) ),
inference(nnf_transformation,[],[f25900]) ).
fof(f26901,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,[],[f20186]) ).
fof(f28951,plain,
l2_conlat_1(sK248),
inference(cnf_transformation,[],[f26217]) ).
fof(f28952,plain,
~ v3_conlat_1(sK248),
inference(cnf_transformation,[],[f26217]) ).
fof(f28953,plain,
( k6_conlat_1(sK248) != k3_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248)))
| k5_conlat_1(sK248) != k2_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) ),
inference(cnf_transformation,[],[f26217]) ).
fof(f29041,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f18567]) ).
fof(f29045,plain,
! [X0] :
( k1_xboole_0 = k1_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f18571]) ).
fof(f29058,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k5_conlat_1(X0) = k6_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f18576]) ).
fof(f29059,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k6_conlat_1(X0) = k5_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f18576]) ).
fof(f29062,plain,
! [X0] :
( v14_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f26232]) ).
fof(f29073,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f25798]) ).
fof(f29075,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18580]) ).
fof(f29078,plain,
! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18582]) ).
fof(f29081,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18584]) ).
fof(f29082,plain,
! [X0] :
( v10_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18584]) ).
fof(f29083,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18584]) ).
fof(f29139,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
| k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18616]) ).
fof(f29143,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
| k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18620]) ).
fof(f30303,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f31284,plain,
! [X0,X1] :
( k1_tarski(X1) = k1_struct_0(X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f19996]) ).
fof(f31296,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20007]) ).
fof(f31297,plain,
! [X0] :
( ~ v4_lattice3(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20009]) ).
fof(f31302,plain,
! [X0] :
( k5_lattices(X0) = k15_lattice3(X0,k1_xboole_0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20011]) ).
fof(f31310,plain,
! [X2,X0,X1] :
( r3_lattices(X0,k16_lattice3(X0,X2),k16_lattice3(X0,X1))
| ~ r1_tarski(X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20015]) ).
fof(f31314,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k16_lattice3(X0,k1_struct_0(X0,X1)) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20019]) ).
fof(f31318,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20023]) ).
fof(f31372,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,[],[f20101]) ).
fof(f31436,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20122]) ).
fof(f31438,plain,
! [X0] :
( ~ v3_lattices(X0)
| v3_struct_0(X0)
| k1_lattice2(k1_lattice2(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20124]) ).
fof(f31439,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP65(X0) ),
inference(cnf_transformation,[],[f26878]) ).
fof(f31448,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP65(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f25901]) ).
fof(f31450,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20128]) ).
fof(f31602,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,[],[f20156]) ).
fof(f31616,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20164]) ).
fof(f31617,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20164]) ).
fof(f31619,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20164]) ).
fof(f31621,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20164]) ).
fof(f31645,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,[],[f26901]) ).
fof(f32705,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f34158,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3551]) ).
fof(f40139,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f25285]) ).
fof(f40251,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f25371]) ).
fof(f40826,plain,
! [X0] :
( ~ l1_struct_0(X0)
| np__0 = k1_pre_topc(X0) ),
inference(definition_unfolding,[],[f29045,f34158]) ).
fof(f41081,plain,
! [X0] : r1_tarski(np__0,X0),
inference(definition_unfolding,[],[f30303,f34158]) ).
fof(f41156,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k1_struct_0(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f31284,f32705]) ).
fof(f41157,plain,
! [X0] :
( ~ v4_lattice3(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_lattices(X0) = k15_lattice3(X0,np__0)
| ~ l3_lattices(X0) ),
inference(definition_unfolding,[],[f31302,f34158]) ).
fof(f43687,definition,
( spl1693_19
<=> k5_conlat_1(sK248) = k2_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) ),
introduced(definition,[new_symbols(definition,[spl1693_19])],[avatar_definition]) ).
fof(f43689,plain,
( k5_conlat_1(sK248) != k2_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248)))
| spl1693_19 ),
inference(avatar_component_clause,[],[f43687]) ).
fof(f43691,definition,
( spl1693_20
<=> k6_conlat_1(sK248) = k3_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) ),
introduced(definition,[new_symbols(definition,[spl1693_20])],[avatar_definition]) ).
fof(f43693,plain,
( k6_conlat_1(sK248) != k3_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248)))
| spl1693_20 ),
inference(avatar_component_clause,[],[f43691]) ).
fof(f43694,plain,
( ~ spl1693_19
| ~ spl1693_20 ),
inference(avatar_split_clause,[],[f28953,f43691,f43687]) ).
fof(f43935,plain,
( v3_conlat_1(sK248)
| k5_conlat_1(sK248) = k6_lattices(k11_conlat_1(sK248)) ),
inference(resolution,[],[f28951,f29058]) ).
fof(f43936,plain,
( v3_conlat_1(sK248)
| k6_conlat_1(sK248) = k5_lattices(k11_conlat_1(sK248)) ),
inference(resolution,[],[f28951,f29059]) ).
fof(f43937,plain,
k6_conlat_1(sK248) = k5_lattices(k11_conlat_1(sK248)),
inference(forward_subsumption_resolution,[],[f43936,f28952]) ).
fof(f43938,plain,
k5_conlat_1(sK248) = k6_lattices(k11_conlat_1(sK248)),
inference(forward_subsumption_resolution,[],[f43935,f28952]) ).
fof(f43941,plain,
( v3_conlat_1(sK248)
| sP2(sK248) ),
inference(resolution,[],[f29073,f28951]) ).
fof(f43942,plain,
sP2(sK248),
inference(forward_subsumption_resolution,[],[f43941,f28952]) ).
fof(f43943,plain,
! [X0] :
( ~ l1_struct_0(k11_conlat_1(X0))
| k2_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k16_lattice3(k11_conlat_1(X0),k1_pre_topc(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(resolution,[],[f29041,f29139]) ).
fof(f43947,plain,
! [X0] :
( ~ l1_struct_0(k11_conlat_1(X0))
| k3_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k15_lattice3(k11_conlat_1(X0),k1_pre_topc(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(resolution,[],[f29041,f29143]) ).
fof(f43954,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| k11_conlat_1(X0) = k1_lattice2(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(resolution,[],[f31438,f29075]) ).
fof(f43955,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| k11_conlat_1(X0) = k1_lattice2(k1_lattice2(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f43954,f29081]) ).
fof(f43956,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k11_conlat_1(X0) = k1_lattice2(k1_lattice2(k11_conlat_1(X0))) ),
inference(forward_subsumption_resolution,[],[f43955,f29083]) ).
fof(f43957,plain,
( v3_conlat_1(sK248)
| k11_conlat_1(sK248) = k1_lattice2(k1_lattice2(k11_conlat_1(sK248))) ),
inference(resolution,[],[f43956,f28951]) ).
fof(f43958,plain,
k11_conlat_1(sK248) = k1_lattice2(k1_lattice2(k11_conlat_1(sK248))),
inference(forward_subsumption_resolution,[],[f43957,f28952]) ).
fof(f43962,definition,
( spl1693_24
<=> l3_lattices(k1_lattice2(k11_conlat_1(sK248))) ),
introduced(definition,[new_symbols(definition,[spl1693_24])],[avatar_definition]) ).
fof(f43963,plain,
( l3_lattices(k1_lattice2(k11_conlat_1(sK248)))
| ~ spl1693_24 ),
inference(avatar_component_clause,[],[f43962]) ).
fof(f43964,plain,
( ~ l3_lattices(k1_lattice2(k11_conlat_1(sK248)))
| spl1693_24 ),
inference(avatar_component_clause,[],[f43962]) ).
fof(f43966,definition,
( spl1693_25
<=> l3_lattices(k11_conlat_1(sK248)) ),
introduced(definition,[new_symbols(definition,[spl1693_25])],[avatar_definition]) ).
fof(f43967,plain,
( ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_25 ),
inference(avatar_component_clause,[],[f43966]) ).
fof(f43968,plain,
( l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_25 ),
inference(avatar_component_clause,[],[f43966]) ).
fof(f43971,definition,
( spl1693_26
<=> v3_struct_0(k1_lattice2(k11_conlat_1(sK248))) ),
introduced(definition,[new_symbols(definition,[spl1693_26])],[avatar_definition]) ).
fof(f43973,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sK248)))
| ~ spl1693_26 ),
inference(avatar_component_clause,[],[f43971]) ).
fof(f43975,definition,
( spl1693_27
<=> v3_struct_0(k11_conlat_1(sK248)) ),
introduced(definition,[new_symbols(definition,[spl1693_27])],[avatar_definition]) ).
fof(f43976,plain,
( v3_struct_0(k11_conlat_1(sK248))
| ~ spl1693_27 ),
inference(avatar_component_clause,[],[f43975]) ).
fof(f43977,plain,
( ~ v3_struct_0(k11_conlat_1(sK248))
| spl1693_27 ),
inference(avatar_component_clause,[],[f43975]) ).
fof(f43979,plain,
( ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_24 ),
inference(resolution,[],[f43964,f31436]) ).
fof(f43980,plain,
( ~ spl1693_25
| spl1693_24 ),
inference(avatar_split_clause,[],[f43979,f43962,f43966]) ).
fof(f43981,plain,
( v3_conlat_1(sK248)
| ~ l2_conlat_1(sK248)
| spl1693_25 ),
inference(resolution,[],[f43967,f29081]) ).
fof(f43982,plain,
( ~ l2_conlat_1(sK248)
| spl1693_25 ),
inference(forward_subsumption_resolution,[],[f43981,f28952]) ).
fof(f43983,plain,
( $false
| spl1693_25 ),
inference(forward_subsumption_resolution,[],[f43982,f28951]) ).
fof(f43984,plain,
spl1693_25,
inference(avatar_contradiction_clause,[],[f43983]) ).
fof(f44039,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP65(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(resolution,[],[f31448,f29082]) ).
fof(f44040,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP65(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f44039,f29081]) ).
fof(f44044,plain,
! [X0] :
( sP65(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f44040,f29083]) ).
fof(f44180,definition,
( spl1693_32
<=> v10_lattices(k1_lattice2(k11_conlat_1(sK248))) ),
introduced(definition,[new_symbols(definition,[spl1693_32])],[avatar_definition]) ).
fof(f44181,plain,
( v10_lattices(k1_lattice2(k11_conlat_1(sK248)))
| ~ spl1693_32 ),
inference(avatar_component_clause,[],[f44180]) ).
fof(f44182,plain,
( ~ v10_lattices(k1_lattice2(k11_conlat_1(sK248)))
| spl1693_32 ),
inference(avatar_component_clause,[],[f44180]) ).
fof(f44192,definition,
( spl1693_34
<=> v10_lattices(k11_conlat_1(sK248)) ),
introduced(definition,[new_symbols(definition,[spl1693_34])],[avatar_definition]) ).
fof(f44193,plain,
( v10_lattices(k11_conlat_1(sK248))
| ~ spl1693_34 ),
inference(avatar_component_clause,[],[f44192]) ).
fof(f44198,plain,
! [X0] :
( l2_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(resolution,[],[f40139,f29081]) ).
fof(f44199,plain,
( l2_lattices(k11_conlat_1(sK248))
| ~ spl1693_25 ),
inference(resolution,[],[f40139,f43968]) ).
fof(f44203,plain,
! [X0] :
( l1_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(resolution,[],[f44198,f40251]) ).
fof(f44204,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k2_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k16_lattice3(k11_conlat_1(X0),k1_pre_topc(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(resolution,[],[f44203,f43943]) ).
fof(f44205,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k3_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k15_lattice3(k11_conlat_1(X0),k1_pre_topc(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(resolution,[],[f44203,f43947]) ).
fof(f44210,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k3_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k15_lattice3(k11_conlat_1(X0),k1_pre_topc(k11_conlat_1(X0))) ),
inference(duplicate_literal_removal,[],[f44205]) ).
fof(f44211,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k2_conlat_2(X0,k1_pre_topc(k11_conlat_1(X0))) = k16_lattice3(k11_conlat_1(X0),k1_pre_topc(k11_conlat_1(X0))) ),
inference(duplicate_literal_removal,[],[f44204]) ).
fof(f44212,plain,
( l1_struct_0(k11_conlat_1(sK248))
| ~ spl1693_25 ),
inference(resolution,[],[f44199,f40251]) ).
fof(f44216,plain,
( np__0 = k1_pre_topc(k11_conlat_1(sK248))
| ~ spl1693_25 ),
inference(resolution,[],[f44212,f40826]) ).
fof(f44222,plain,
( v3_conlat_1(sK248)
| k2_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) = k16_lattice3(k11_conlat_1(sK248),k1_pre_topc(k11_conlat_1(sK248))) ),
inference(resolution,[],[f44211,f28951]) ).
fof(f44223,plain,
k2_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) = k16_lattice3(k11_conlat_1(sK248),k1_pre_topc(k11_conlat_1(sK248))),
inference(forward_subsumption_resolution,[],[f44222,f28952]) ).
fof(f44224,plain,
( k2_conlat_2(sK248,np__0) = k16_lattice3(k11_conlat_1(sK248),np__0)
| ~ spl1693_25 ),
inference(forward_demodulation,[],[f44223,f44216]) ).
fof(f44225,plain,
( v3_conlat_1(sK248)
| k3_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) = k15_lattice3(k11_conlat_1(sK248),k1_pre_topc(k11_conlat_1(sK248))) ),
inference(resolution,[],[f44210,f28951]) ).
fof(f44226,plain,
k3_conlat_2(sK248,k1_pre_topc(k11_conlat_1(sK248))) = k15_lattice3(k11_conlat_1(sK248),k1_pre_topc(k11_conlat_1(sK248))),
inference(forward_subsumption_resolution,[],[f44225,f28952]) ).
fof(f44227,plain,
( k3_conlat_2(sK248,np__0) = k15_lattice3(k11_conlat_1(sK248),np__0)
| ~ spl1693_25 ),
inference(forward_demodulation,[],[f44226,f44216]) ).
fof(f44258,plain,
( v10_lattices(k11_conlat_1(sK248))
| ~ sP65(k1_lattice2(k11_conlat_1(sK248))) ),
inference(superposition,[],[f31439,f43958]) ).
fof(f44260,definition,
( spl1693_35
<=> sP65(k1_lattice2(k11_conlat_1(sK248))) ),
introduced(definition,[new_symbols(definition,[spl1693_35])],[avatar_definition]) ).
fof(f44262,plain,
( ~ sP65(k1_lattice2(k11_conlat_1(sK248)))
| spl1693_35 ),
inference(avatar_component_clause,[],[f44260]) ).
fof(f44263,plain,
( ~ spl1693_35
| spl1693_34 ),
inference(avatar_split_clause,[],[f44258,f44192,f44260]) ).
fof(f44333,plain,
( k5_conlat_1(sK248) != k2_conlat_2(sK248,np__0)
| spl1693_19
| ~ spl1693_25 ),
inference(superposition,[],[f43689,f44216]) ).
fof(f44389,plain,
( ~ sP65(k11_conlat_1(sK248))
| spl1693_32 ),
inference(resolution,[],[f44182,f31439]) ).
fof(f44390,plain,
( v3_conlat_1(sK248)
| ~ l2_conlat_1(sK248)
| spl1693_32 ),
inference(resolution,[],[f44389,f44044]) ).
fof(f44391,plain,
( ~ l2_conlat_1(sK248)
| spl1693_32 ),
inference(forward_subsumption_resolution,[],[f44390,f28952]) ).
fof(f44392,plain,
( $false
| spl1693_32 ),
inference(forward_subsumption_resolution,[],[f44391,f28951]) ).
fof(f44393,plain,
spl1693_32,
inference(avatar_contradiction_clause,[],[f44392]) ).
fof(f44394,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sK248)))
| sP65(k1_lattice2(k11_conlat_1(sK248)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK248)))
| ~ spl1693_32 ),
inference(resolution,[],[f44181,f31448]) ).
fof(f44395,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sK248)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK248)))
| ~ spl1693_32
| spl1693_35 ),
inference(forward_subsumption_resolution,[],[f44394,f44262]) ).
fof(f44396,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sK248)))
| ~ spl1693_24
| ~ spl1693_32
| spl1693_35 ),
inference(forward_subsumption_resolution,[],[f44395,f43963]) ).
fof(f44397,plain,
( spl1693_26
| ~ spl1693_24
| ~ spl1693_32
| spl1693_35 ),
inference(avatar_split_clause,[],[f44396,f44260,f44180,f43962,f43971]) ).
fof(f44399,plain,
( v3_struct_0(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_26 ),
inference(resolution,[],[f43973,f31450]) ).
fof(f44400,plain,
( ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_26
| spl1693_27 ),
inference(forward_subsumption_resolution,[],[f44399,f43977]) ).
fof(f44401,plain,
( $false
| ~ spl1693_25
| ~ spl1693_26
| spl1693_27 ),
inference(forward_subsumption_resolution,[],[f44400,f43968]) ).
fof(f44402,plain,
( ~ spl1693_25
| ~ spl1693_26
| spl1693_27 ),
inference(avatar_contradiction_clause,[],[f44401]) ).
fof(f44406,plain,
( v3_conlat_1(sK248)
| ~ l2_conlat_1(sK248)
| ~ spl1693_27 ),
inference(resolution,[],[f43976,f29083]) ).
fof(f44407,plain,
( ~ l2_conlat_1(sK248)
| ~ spl1693_27 ),
inference(forward_subsumption_resolution,[],[f44406,f28952]) ).
fof(f44414,plain,
( $false
| ~ spl1693_27 ),
inference(forward_subsumption_resolution,[],[f44407,f28951]) ).
fof(f44415,plain,
~ spl1693_27,
inference(avatar_contradiction_clause,[],[f44414]) ).
fof(f44441,definition,
( spl1693_42
<=> v14_lattices(k11_conlat_1(sK248)) ),
introduced(definition,[new_symbols(definition,[spl1693_42])],[avatar_definition]) ).
fof(f44442,plain,
( ~ v14_lattices(k11_conlat_1(sK248))
| spl1693_42 ),
inference(avatar_component_clause,[],[f44441]) ).
fof(f44443,plain,
( v14_lattices(k11_conlat_1(sK248))
| ~ spl1693_42 ),
inference(avatar_component_clause,[],[f44441]) ).
fof(f44454,plain,
( ~ sP2(sK248)
| spl1693_42 ),
inference(resolution,[],[f44442,f29062]) ).
fof(f44455,plain,
( $false
| spl1693_42 ),
inference(forward_subsumption_resolution,[],[f44454,f43942]) ).
fof(f44456,plain,
spl1693_42,
inference(avatar_contradiction_clause,[],[f44455]) ).
fof(f44755,plain,
( m1_subset_1(k2_conlat_2(sK248,np__0),u1_struct_0(k11_conlat_1(sK248)))
| v3_struct_0(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_25 ),
inference(superposition,[],[f31318,f44224]) ).
fof(f44758,plain,
( m1_subset_1(k2_conlat_2(sK248,np__0),u1_struct_0(k11_conlat_1(sK248)))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_25
| spl1693_27 ),
inference(forward_subsumption_resolution,[],[f44755,f43977]) ).
fof(f44759,plain,
( m1_subset_1(k2_conlat_2(sK248,np__0),u1_struct_0(k11_conlat_1(sK248)))
| ~ spl1693_25
| spl1693_27 ),
inference(forward_subsumption_resolution,[],[f44758,f43968]) ).
fof(f45018,definition,
( spl1693_51
<=> v4_lattice3(k11_conlat_1(sK248)) ),
introduced(definition,[new_symbols(definition,[spl1693_51])],[avatar_definition]) ).
fof(f45019,plain,
( v4_lattice3(k11_conlat_1(sK248))
| ~ spl1693_51 ),
inference(avatar_component_clause,[],[f45018]) ).
fof(f45020,plain,
( ~ v4_lattice3(k11_conlat_1(sK248))
| spl1693_51 ),
inference(avatar_component_clause,[],[f45018]) ).
fof(f45031,plain,
( v3_conlat_1(sK248)
| ~ l2_conlat_1(sK248)
| spl1693_51 ),
inference(resolution,[],[f45020,f29078]) ).
fof(f45032,plain,
( ~ l2_conlat_1(sK248)
| spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45031,f28952]) ).
fof(f45037,plain,
( $false
| spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45032,f28951]) ).
fof(f45038,plain,
spl1693_51,
inference(avatar_contradiction_clause,[],[f45037]) ).
fof(f45176,plain,
( v3_struct_0(k11_conlat_1(sK248))
| ~ v10_lattices(k11_conlat_1(sK248))
| k6_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_51 ),
inference(resolution,[],[f31297,f45019]) ).
fof(f45177,plain,
( ~ v10_lattices(k11_conlat_1(sK248))
| k6_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45176,f43977]) ).
fof(f45181,plain,
( k6_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45177,f44193]) ).
fof(f45185,plain,
( k6_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45181,f43968]) ).
fof(f45187,plain,
( k5_conlat_1(sK248) = k15_lattice3(k11_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_demodulation,[],[f45185,f43938]) ).
fof(f45196,plain,
( m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| v3_struct_0(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(superposition,[],[f31296,f45187]) ).
fof(f45197,plain,
( m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45196,f43977]) ).
fof(f45206,definition,
( spl1693_55
<=> m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248))) ),
introduced(definition,[new_symbols(definition,[spl1693_55])],[avatar_definition]) ).
fof(f45207,plain,
( m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ spl1693_55 ),
inference(avatar_component_clause,[],[f45206]) ).
fof(f45210,plain,
( m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45197,f43968]) ).
fof(f45214,plain,
( spl1693_55
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(avatar_split_clause,[],[f45210,f45018,f44192,f43975,f43966,f45206]) ).
fof(f45230,plain,
( v3_struct_0(k11_conlat_1(sK248))
| ~ l1_struct_0(k11_conlat_1(sK248))
| k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)) = k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248))
| ~ spl1693_55 ),
inference(resolution,[],[f45207,f41156]) ).
fof(f45245,plain,
( ~ l1_struct_0(k11_conlat_1(sK248))
| k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)) = k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248))
| spl1693_27
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f45230,f43977]) ).
fof(f45253,plain,
( k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)) = k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f45245,f44212]) ).
fof(f45475,plain,
( v3_struct_0(k11_conlat_1(sK248))
| ~ v10_lattices(k11_conlat_1(sK248))
| k5_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),np__0)
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_51 ),
inference(resolution,[],[f41157,f45019]) ).
fof(f45476,plain,
( ~ v10_lattices(k11_conlat_1(sK248))
| k5_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),np__0)
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45475,f43977]) ).
fof(f45480,plain,
( k5_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),np__0)
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45476,f44193]) ).
fof(f45484,plain,
( k5_lattices(k11_conlat_1(sK248)) = k15_lattice3(k11_conlat_1(sK248),np__0)
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f45480,f43968]) ).
fof(f45486,plain,
( k6_conlat_1(sK248) = k15_lattice3(k11_conlat_1(sK248),np__0)
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_demodulation,[],[f45484,f43937]) ).
fof(f45491,plain,
( k6_conlat_1(sK248) = k3_conlat_2(sK248,np__0)
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(superposition,[],[f44227,f45486]) ).
fof(f46738,plain,
! [X0] :
( r3_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| v3_struct_0(k11_conlat_1(sK248))
| ~ v10_lattices(k11_conlat_1(sK248))
| ~ v14_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248)) ),
inference(superposition,[],[f31372,f43938]) ).
fof(f46741,plain,
( ! [X0] :
( r3_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ v10_lattices(k11_conlat_1(sK248))
| ~ v14_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248)) )
| spl1693_27 ),
inference(forward_subsumption_resolution,[],[f46738,f43977]) ).
fof(f46743,plain,
( ! [X0] :
( r3_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ v14_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248)) )
| spl1693_27
| ~ spl1693_34 ),
inference(forward_subsumption_resolution,[],[f46741,f44193]) ).
fof(f46745,plain,
( ! [X0] :
( r3_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ l3_lattices(k11_conlat_1(sK248)) )
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(forward_subsumption_resolution,[],[f46743,f44443]) ).
fof(f46747,plain,
( ! [X0] :
( r3_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(forward_subsumption_resolution,[],[f46745,f43968]) ).
fof(f47419,plain,
( k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248)))
| v3_struct_0(k11_conlat_1(sK248))
| ~ v10_lattices(k11_conlat_1(sK248))
| ~ v4_lattice3(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_55 ),
inference(resolution,[],[f31314,f45207]) ).
fof(f47433,plain,
( k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ v10_lattices(k11_conlat_1(sK248))
| ~ v4_lattice3(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f47419,f43977]) ).
fof(f47439,plain,
( k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ v4_lattice3(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_34
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f47433,f44193]) ).
fof(f47445,plain,
( k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f47439,f45019]) ).
fof(f47458,plain,
( k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),k1_struct_0(k11_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f47445,f43968]) ).
fof(f47461,plain,
( k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_demodulation,[],[f47458,f45253]) ).
fof(f48410,plain,
( v3_struct_0(k11_conlat_1(sK248))
| v9_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_34 ),
inference(resolution,[],[f31616,f44193]) ).
fof(f48421,plain,
( v9_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_34 ),
inference(forward_subsumption_resolution,[],[f48410,f43977]) ).
fof(f48427,plain,
( v9_lattices(k11_conlat_1(sK248))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34 ),
inference(forward_subsumption_resolution,[],[f48421,f43968]) ).
fof(f52297,plain,
( v3_struct_0(k11_conlat_1(sK248))
| v8_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_34 ),
inference(resolution,[],[f31617,f44193]) ).
fof(f52308,plain,
( v8_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_34 ),
inference(forward_subsumption_resolution,[],[f52297,f43977]) ).
fof(f52314,plain,
( v8_lattices(k11_conlat_1(sK248))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34 ),
inference(forward_subsumption_resolution,[],[f52308,f43968]) ).
fof(f56870,plain,
( v3_struct_0(k11_conlat_1(sK248))
| v6_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ spl1693_34 ),
inference(resolution,[],[f31619,f44193]) ).
fof(f56881,plain,
( v6_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| spl1693_27
| ~ spl1693_34 ),
inference(forward_subsumption_resolution,[],[f56870,f43977]) ).
fof(f56887,plain,
( v6_lattices(k11_conlat_1(sK248))
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34 ),
inference(forward_subsumption_resolution,[],[f56881,f43968]) ).
fof(f63803,plain,
( k6_conlat_1(sK248) != k3_conlat_2(sK248,np__0)
| spl1693_20
| ~ spl1693_25 ),
inference(forward_demodulation,[],[f43693,f44216]) ).
fof(f63804,plain,
( $false
| spl1693_20
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(forward_subsumption_resolution,[],[f63803,f45491]) ).
fof(f63805,plain,
( spl1693_20
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(avatar_contradiction_clause,[],[f63804]) ).
fof(f66351,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ r1_tarski(X2,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f31645,f31310]) ).
fof(f66353,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| v3_struct_0(k11_conlat_1(sK248))
| ~ v6_lattices(k11_conlat_1(sK248))
| ~ v8_lattices(k11_conlat_1(sK248))
| ~ v9_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(resolution,[],[f31645,f46747]) ).
fof(f66372,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| v3_struct_0(k11_conlat_1(sK248))
| ~ v6_lattices(k11_conlat_1(sK248))
| ~ v8_lattices(k11_conlat_1(sK248))
| ~ v9_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(duplicate_literal_removal,[],[f66353]) ).
fof(f66373,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ r1_tarski(X2,X1)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0) ),
inference(duplicate_literal_removal,[],[f66351]) ).
fof(f66394,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ v6_lattices(k11_conlat_1(sK248))
| ~ v8_lattices(k11_conlat_1(sK248))
| ~ v9_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(forward_subsumption_resolution,[],[f66372,f43977]) ).
fof(f66396,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| v3_struct_0(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ r1_tarski(X2,X1)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f66373,f31619]) ).
fof(f66417,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ v8_lattices(k11_conlat_1(sK248))
| ~ v9_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(forward_subsumption_resolution,[],[f66394,f56887]) ).
fof(f66419,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ r1_tarski(X2,X1)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f66396,f31617]) ).
fof(f66440,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ v9_lattices(k11_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(forward_subsumption_resolution,[],[f66417,f52314]) ).
fof(f66442,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ r1_tarski(X2,X1)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f66419,f31616]) ).
fof(f66463,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(forward_subsumption_resolution,[],[f66440,f48427]) ).
fof(f66465,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ r1_tarski(X2,X1)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f66442,f31318]) ).
fof(f66484,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248)))
| ~ m1_subset_1(k5_conlat_1(sK248),u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42 ),
inference(forward_subsumption_resolution,[],[f66463,f43968]) ).
fof(f66486,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r1_tarski(X2,X1)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f66465,f31318]) ).
fof(f66504,plain,
( ! [X0] :
( r1_lattices(k11_conlat_1(sK248),X0,k5_conlat_1(sK248))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK248))) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f66484,f45207]) ).
fof(f66963,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| k16_lattice3(X0,X2) = k16_lattice3(X0,X1)
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(resolution,[],[f66486,f31602]) ).
fof(f66978,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| k16_lattice3(X0,X2) = k16_lattice3(X0,X1)
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(duplicate_literal_removal,[],[f66963]) ).
fof(f66992,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| k16_lattice3(X0,X2) = k16_lattice3(X0,X1)
| ~ m1_subset_1(k16_lattice3(X0,X2),u1_struct_0(X0))
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f66978,f31621]) ).
fof(f67006,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| k16_lattice3(X0,X2) = k16_lattice3(X0,X1)
| ~ m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f66992,f31318]) ).
fof(f67020,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| k16_lattice3(X0,X2) = k16_lattice3(X0,X1)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f67006,f31318]) ).
fof(f67034,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,k16_lattice3(X0,X1),k16_lattice3(X0,X2))
| ~ l3_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| v3_struct_0(X0)
| k16_lattice3(X0,X2) = k16_lattice3(X0,X1) ),
inference(forward_subsumption_resolution,[],[f67020,f40139]) ).
fof(f68503,plain,
( ! [X0] :
( ~ r1_lattices(k11_conlat_1(sK248),k16_lattice3(k11_conlat_1(sK248),X0),k5_conlat_1(sK248))
| ~ l3_lattices(k11_conlat_1(sK248))
| ~ r1_tarski(X0,k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ v10_lattices(k11_conlat_1(sK248))
| ~ v4_lattice3(k11_conlat_1(sK248))
| v3_struct_0(k11_conlat_1(sK248))
| k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),X0) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(superposition,[],[f67034,f47461]) ).
fof(f68530,plain,
( ! [X0] :
( ~ r1_lattices(k11_conlat_1(sK248),k16_lattice3(k11_conlat_1(sK248),X0),k5_conlat_1(sK248))
| ~ r1_tarski(X0,k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ v10_lattices(k11_conlat_1(sK248))
| ~ v4_lattice3(k11_conlat_1(sK248))
| v3_struct_0(k11_conlat_1(sK248))
| k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),X0) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f68503,f43968]) ).
fof(f68565,plain,
( ! [X0] :
( ~ r1_lattices(k11_conlat_1(sK248),k16_lattice3(k11_conlat_1(sK248),X0),k5_conlat_1(sK248))
| ~ r1_tarski(X0,k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)))
| ~ v4_lattice3(k11_conlat_1(sK248))
| v3_struct_0(k11_conlat_1(sK248))
| k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),X0) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f68530,f44193]) ).
fof(f68599,plain,
( ! [X0] :
( ~ r1_lattices(k11_conlat_1(sK248),k16_lattice3(k11_conlat_1(sK248),X0),k5_conlat_1(sK248))
| ~ r1_tarski(X0,k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)))
| v3_struct_0(k11_conlat_1(sK248))
| k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),X0) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f68565,f45019]) ).
fof(f68633,plain,
( ! [X0] :
( ~ r1_lattices(k11_conlat_1(sK248),k16_lattice3(k11_conlat_1(sK248),X0),k5_conlat_1(sK248))
| ~ r1_tarski(X0,k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)))
| k5_conlat_1(sK248) = k16_lattice3(k11_conlat_1(sK248),X0) )
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f68599,f43977]) ).
fof(f72301,plain,
( ~ r1_lattices(k11_conlat_1(sK248),k2_conlat_2(sK248,np__0),k5_conlat_1(sK248))
| ~ r1_tarski(np__0,k2_tarski(k5_conlat_1(sK248),k5_conlat_1(sK248)))
| k5_conlat_1(sK248) = k2_conlat_2(sK248,np__0)
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(superposition,[],[f68633,f44224]) ).
fof(f72307,plain,
( ~ r1_lattices(k11_conlat_1(sK248),k2_conlat_2(sK248,np__0),k5_conlat_1(sK248))
| k5_conlat_1(sK248) = k2_conlat_2(sK248,np__0)
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f72301,f41081]) ).
fof(f72316,plain,
( ~ r1_lattices(k11_conlat_1(sK248),k2_conlat_2(sK248,np__0),k5_conlat_1(sK248))
| spl1693_19
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f72307,f44333]) ).
fof(f72327,plain,
( ~ m1_subset_1(k2_conlat_2(sK248,np__0),u1_struct_0(k11_conlat_1(sK248)))
| spl1693_19
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42
| ~ spl1693_51
| ~ spl1693_55 ),
inference(resolution,[],[f72316,f66504]) ).
fof(f72328,plain,
( $false
| spl1693_19
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42
| ~ spl1693_51
| ~ spl1693_55 ),
inference(forward_subsumption_resolution,[],[f72327,f44759]) ).
fof(f72329,plain,
( spl1693_19
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42
| ~ spl1693_51
| ~ spl1693_55 ),
inference(avatar_contradiction_clause,[],[f72328]) ).
cnf(s12,plain,
( ~ spl1693_19
| ~ spl1693_20 ),
inference(sat_conversion,[],[f43694]) ).
cnf(s19,plain,
( spl1693_24
| ~ spl1693_25 ),
inference(sat_conversion,[],[f43980]) ).
cnf(s20,plain,
spl1693_25,
inference(sat_conversion,[],[f43984]) ).
cnf(s25,plain,
( spl1693_34
| ~ spl1693_35 ),
inference(sat_conversion,[],[f44263]) ).
cnf(s29,plain,
spl1693_32,
inference(sat_conversion,[],[f44393]) ).
cnf(s30,plain,
( ~ spl1693_24
| spl1693_26
| ~ spl1693_32
| spl1693_35 ),
inference(sat_conversion,[],[f44397]) ).
cnf(s31,plain,
( ~ spl1693_25
| ~ spl1693_26
| spl1693_27 ),
inference(sat_conversion,[],[f44402]) ).
cnf(s35,plain,
~ spl1693_27,
inference(sat_conversion,[],[f44415]) ).
cnf(s40,plain,
spl1693_42,
inference(sat_conversion,[],[f44456]) ).
cnf(s49,plain,
spl1693_51,
inference(sat_conversion,[],[f45038]) ).
cnf(s51,plain,
( ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51
| spl1693_55 ),
inference(sat_conversion,[],[f45214]) ).
cnf(s534,plain,
( spl1693_20
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_51 ),
inference(sat_conversion,[],[f63805]) ).
cnf(s748,plain,
( spl1693_19
| ~ spl1693_25
| spl1693_27
| ~ spl1693_34
| ~ spl1693_42
| ~ spl1693_51
| ~ spl1693_55 ),
inference(sat_conversion,[],[f72329]) ).
cnf(s777,plain,
( ~ spl1693_25
| ~ spl1693_26 ),
inference(rat,[],[s31,s35]) ).
cnf(s785,plain,
~ spl1693_26,
inference(rat,[],[s777,s20]) ).
cnf(s789,plain,
spl1693_24,
inference(rat,[],[s19,s20]) ).
cnf(s793,plain,
spl1693_35,
inference(rat,[],[s30,s785,s29,s789]) ).
cnf(s795,plain,
spl1693_34,
inference(rat,[],[s25,s793]) ).
cnf(s803,plain,
spl1693_55,
inference(rat,[],[s51,s20,s49,s35,s795]) ).
cnf(s809,plain,
spl1693_19,
inference(rat,[],[s748,s803,s49,s40,s20,s35,s795]) ).
cnf(s810,plain,
spl1693_20,
inference(rat,[],[s534,s49,s20,s35,s795]) ).
cnf(s859,plain,
$false,
inference(rat,[],[s12,s810,s809]) ).
fof(f72330,plain,
$false,
inference(avatar_sat_refutation,[],[s859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT339+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:53:49 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.00/3.76 % (3644513)Detected formulas, will run a generic FOF schedule.
% 14.00/3.76 % (3644522)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=726969474:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 14.00/3.76 % (3644518)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=3002951932:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 14.00/3.76 % (3644520)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=1428093694:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 14.00/3.76 % (3644519)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=4267781005:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 14.00/3.76 % (3644521)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1946791435:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 14.00/3.76 % (3644524)dis-21_1_sil=8000:lcm=predicate:random_seed=1590423243:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 14.00/3.76 % (3644523)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1511834516:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 14.00/3.76 % (3644522)Instruction limit reached!
% 14.00/3.76 % (3644522)------------------------------
% 14.00/3.76 % (3644522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/3.76 % (3644522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/3.76 % (3644522)CaDiCaL version: 2.1.3
% 14.00/3.76 % (3644522)Termination reason: Instruction limit
% 14.00/3.76 % (3644522)Termination phase: Preprocessing 1
% 14.00/3.76 % (3644522)Time elapsed: 0.063 s
% 14.00/3.76 % (3644522)Peak memory usage: 111 MB
% 14.00/3.76 % (3644522)Instructions burned: 119 (million)
% 14.00/3.76 % (3644524)Instruction limit reached!
% 14.00/3.76 % (3644524)------------------------------
% 14.00/3.76 % (3644524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/3.76 % (3644524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/3.76 % (3644524)CaDiCaL version: 2.1.3
% 14.00/3.76 % (3644524)Termination reason: Instruction limit
% 14.00/3.76 % (3644524)Termination phase: SInE selection
% 14.00/3.76 % (3644524)Time elapsed: 0.085 s
% 14.00/3.76 % (3644524)Peak memory usage: 111 MB
% 14.00/3.76 % (3644524)Instructions burned: 130 (million)
% 14.00/3.76 % (3644523)Instruction limit reached!
% 14.00/3.76 % (3644523)------------------------------
% 14.00/3.76 % (3644523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/3.76 % (3644523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/3.76 % (3644523)CaDiCaL version: 2.1.3
% 14.00/3.76 % (3644523)Termination reason: Instruction limit
% 14.00/3.76 % (3644523)Termination phase: Property scanning
% 14.00/3.76 % (3644523)Time elapsed: 0.061 s
% 14.00/3.76 % (3644523)Peak memory usage: 111 MB
% 14.00/3.76 % (3644523)Instructions burned: 140 (million)
% 14.00/3.76 % (3644521)Instruction limit reached!
% 14.00/3.76 % (3644521)------------------------------
% 14.00/3.76 % (3644521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/3.76 % (3644521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/3.76 % (3644521)CaDiCaL version: 2.1.3
% 14.00/3.76 % (3644521)Termination reason: Instruction limit
% 14.00/3.76 % (3644521)Termination phase: Property scanning
% 14.00/3.76 % (3644521)Time elapsed: 0.094 s
% 14.00/3.76 % (3644521)Peak memory usage: 112 MB
% 14.00/3.76 % (3644521)Instructions burned: 109 (million)
% 14.00/3.76 % (3644532)lrs+10_1_sil=8000:sp=occurrence:random_seed=2160580768:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 14.00/3.76 % (3644535)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=2897555195:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 14.00/3.76 % (3644533)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1935876661:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 14.00/3.76 % (3644534)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4201228895:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 14.00/3.76 % (3644532)Instruction limit reached!
% 21.26/4.87 % (3644532)------------------------------
% 21.26/4.87 % (3644532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.26/4.87 % (3644532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/4.87 % (3644532)CaDiCaL version: 2.1.3
% 21.26/4.87 % (3644532)Termination reason: Instruction limit
% 21.26/4.87 % (3644532)Termination phase: Saturation
% 21.26/4.87 % (3644532)Time elapsed: 0.113 s
% 21.26/4.87 % (3644532)Peak memory usage: 117 MB
% 21.26/4.87 % (3644532)Instructions burned: 287 (million)
% 21.26/4.87 % (3644533)Instruction limit reached!
% 21.26/4.87 % (3644533)------------------------------
% 21.26/4.87 % (3644533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.26/4.87 % (3644533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/4.87 % (3644533)CaDiCaL version: 2.1.3
% 21.26/4.87 % (3644533)Termination reason: Instruction limit
% 21.26/4.87 % (3644533)Termination phase: Property scanning
% 21.26/4.87 % (3644533)Time elapsed: 0.067 s
% 21.26/4.87 % (3644533)Peak memory usage: 110 MB
% 21.26/4.87 % (3644533)Instructions burned: 158 (million)
% 21.26/4.87 % (3644535)Instruction limit reached!
% 21.26/4.87 % (3644535)------------------------------
% 21.26/4.87 % (3644535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.26/4.87 % (3644535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/4.87 % (3644535)CaDiCaL version: 2.1.3
% 21.26/4.87 % (3644535)Termination reason: Instruction limit
% 21.26/4.87 % (3644535)Termination phase: Property scanning
% 21.26/4.87 % (3644535)Time elapsed: 0.106 s
% 21.26/4.87 % (3644535)Peak memory usage: 110 MB
% 21.26/4.87 % (3644535)Instructions burned: 250 (million)
% 21.26/4.87 % (3644540)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=681228732:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 21.26/4.87 % (3644534)Instruction limit reached!
% 21.26/4.87 % (3644534)------------------------------
% 21.26/4.87 % (3644534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.26/4.87 % (3644534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/4.87 % (3644534)CaDiCaL version: 2.1.3
% 21.26/4.87 % (3644534)Termination reason: Instruction limit
% 21.26/4.87 % (3644534)Termination phase: Saturation
% 21.26/4.87 % (3644534)Time elapsed: 0.218 s
% 21.26/4.87 % (3644534)Peak memory usage: 117 MB
% 21.26/4.87 % (3644534)Instructions burned: 327 (million)
% 21.26/4.87 % (3644541)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=316314052:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 21.26/4.87 % (3644542)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1942839162:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 21.26/4.87 % (3644540)Instruction limit reached!
% 21.26/4.87 % (3644540)------------------------------
% 21.26/4.87 % (3644540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.26/4.87 % (3644540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/4.87 % (3644540)CaDiCaL version: 2.1.3
% 21.26/4.87 % (3644540)Termination reason: Instruction limit
% 21.26/4.87 % (3644540)Termination phase: Property scanning
% 21.26/4.87 % (3644540)Time elapsed: 0.119 s
% 21.26/4.87 % (3644540)Peak memory usage: 116 MB
% 21.26/4.87 % (3644540)Instructions burned: 298 (million)
% 21.26/4.87 % (3644542)Instruction limit reached!
% 21.26/4.87 % (3644542)------------------------------
% 21.26/4.87 % (3644542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.26/4.87 % (3644542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/4.87 % (3644542)CaDiCaL version: 2.1.3
% 21.26/4.87 % (3644542)Termination reason: Instruction limit
% 21.26/4.87 % (3644542)Termination phase: Unused predicate definition removal
% 21.26/4.87 % (3644542)Time elapsed: 0.131 s
% 21.26/4.87 % (3644542)Peak memory usage: 111 MB
% 21.26/4.87 % (3644542)Instructions burned: 128 (million)
% 21.26/4.87 % (3644545)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3385474879:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 21.26/4.87 % (3644547)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=19338532:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 21.26/4.87 % (3644547)Instruction limit reached!
% 21.26/4.87 % (3644547)------------------------------
% 21.26/4.87 % (3644547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.05/7.60 % (3644547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.05/7.60 % (3644547)CaDiCaL version: 2.1.3
% 41.05/7.60 % (3644547)Termination reason: Instruction limit
% 41.05/7.60 % (3644547)Termination phase: Property scanning
% 41.05/7.60 % (3644547)Time elapsed: 0.027 s
% 41.05/7.60 % (3644547)Peak memory usage: 111 MB
% 41.05/7.60 % (3644547)Instructions burned: 116 (million)
% 41.05/7.60 % (3644545)Instruction limit reached!
% 41.05/7.60 % (3644545)------------------------------
% 41.05/7.60 % (3644545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.05/7.60 % (3644545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.05/7.60 % (3644545)CaDiCaL version: 2.1.3
% 41.05/7.60 % (3644545)Termination reason: Instruction limit
% 41.05/7.60 % (3644545)Termination phase: Preprocessing 1
% 41.05/7.60 % (3644545)Time elapsed: 0.092 s
% 41.05/7.60 % (3644545)Peak memory usage: 111 MB
% 41.05/7.60 % (3644545)Instructions burned: 127 (million)
% 41.05/7.60 % (3644556)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2567995814:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 41.05/7.60 % (3644555)lrs+10_1_sil=8000:sp=occurrence:random_seed=3296458094:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 41.05/7.60 % (3644556)Refutation not found, incomplete strategy
% 41.05/7.60 % (3644556)------------------------------
% 41.05/7.60 % (3644556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.05/7.60 % (3644556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.05/7.60 % (3644556)CaDiCaL version: 2.1.3
% 41.05/7.60 % (3644556)Termination reason: Refutation not found, incomplete strategy
% 41.05/7.60 % (3644556)Time elapsed: 0.062 s
% 41.05/7.60 % (3644556)Peak memory usage: 116 MB
% 41.05/7.60 % (3644556)Instructions burned: 131 (million)
% 41.05/7.60 % (3644557)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3107561376:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 41.05/7.60 % (3644556)------------------------------
% 41.05/7.60 % (3644556)------------------------------
% 41.05/7.60 % (3644561)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2933058216:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 41.05/7.60 % (3644561)Instruction limit reached!
% 41.05/7.60 % (3644561)------------------------------
% 41.05/7.60 % (3644561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.05/7.60 % (3644561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.05/7.60 % (3644561)CaDiCaL version: 2.1.3
% 41.05/7.60 % (3644561)Termination reason: Instruction limit
% 41.05/7.60 % (3644561)Termination phase: NewCNF
% 41.05/7.60 % (3644561)Time elapsed: 0.066 s
% 41.05/7.60 % (3644561)Peak memory usage: 114 MB
% 41.05/7.60 % (3644561)Instructions burned: 134 (million)
% 41.05/7.60 % (3644555)Instruction limit reached!
% 41.05/7.60 % (3644555)------------------------------
% 41.05/7.60 % (3644555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.05/7.60 % (3644555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.05/7.60 % (3644555)CaDiCaL version: 2.1.3
% 41.05/7.60 % (3644555)Termination reason: Instruction limit
% 41.05/7.60 % (3644555)Termination phase: Saturation
% 41.05/7.60 % (3644555)Time elapsed: 0.537 s
% 41.05/7.60 % (3644555)Peak memory usage: 130 MB
% 41.05/7.60 % (3644555)Instructions burned: 909 (million)
% 41.05/7.60 % (3644563)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=935765167:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 41.05/7.60 % (3644564)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1828222318:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 41.05/7.60 % (3644563)Instruction limit reached!
% 41.05/7.60 % (3644563)------------------------------
% 41.05/7.60 % (3644563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.05/7.60 % (3644563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.05/7.60 % (3644563)CaDiCaL version: 2.1.3
% 41.05/7.60 % (3644563)Termination reason: Instruction limit
% 41.05/7.60 % (3644563)Termination phase: Preprocessing 3
% 41.05/7.60 % (3644563)Time elapsed: 0.271 s
% 41.05/7.60 % (3644563)Peak memory usage: 132 MB
% 41.05/7.60 % (3644563)Instructions burned: 595 (million)
% 41.05/7.60 % (3644541)Instruction limit reached!
% 28.23/10.86 % (3644541)------------------------------
% 28.23/10.86 % (3644541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644541)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644541)Termination reason: Instruction limit
% 28.23/10.86 % (3644541)Termination phase: Saturation
% 28.23/10.86 % (3644541)Time elapsed: 1.236 s
% 28.23/10.86 % (3644541)Peak memory usage: 164 MB
% 28.23/10.86 % (3644541)Instructions burned: 2352 (million)
% 28.23/10.86 % (3644567)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=2477405114:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 28.23/10.86 % (3644567)Instruction limit reached!
% 28.23/10.86 % (3644567)------------------------------
% 28.23/10.86 % (3644567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644567)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644567)Termination reason: Instruction limit
% 28.23/10.86 % (3644567)Termination phase: Property scanning
% 28.23/10.86 % (3644567)Time elapsed: 0.031 s
% 28.23/10.86 % (3644567)Peak memory usage: 111 MB
% 28.23/10.86 % (3644567)Instructions burned: 126 (million)
% 28.23/10.86 % (3644568)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1651996486:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 28.23/10.86 % (3644570)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2039933579:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 28.23/10.86 % (3644568)Instruction limit reached!
% 28.23/10.86 % (3644568)------------------------------
% 28.23/10.86 % (3644568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644568)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644568)Termination reason: Instruction limit
% 28.23/10.86 % (3644568)Termination phase: Property scanning
% 28.23/10.86 % (3644568)Time elapsed: 0.060 s
% 28.23/10.86 % (3644568)Peak memory usage: 111 MB
% 28.23/10.86 % (3644568)Instructions burned: 136 (million)
% 28.23/10.86 % (3644570)Refutation not found, incomplete strategy
% 28.23/10.86 % (3644570)------------------------------
% 28.23/10.86 % (3644570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644570)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644570)Termination reason: Refutation not found, incomplete strategy
% 28.23/10.86 % (3644570)Time elapsed: 0.056 s
% 28.23/10.86 % (3644570)Peak memory usage: 115 MB
% 28.23/10.86 % (3644570)Instructions burned: 113 (million)
% 28.23/10.86 % (3644573)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=716079513:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 28.23/10.86 % (3644570)------------------------------
% 28.23/10.86 % (3644570)------------------------------
% 28.23/10.86 % (3644573)Refutation not found, incomplete strategy
% 28.23/10.86 % (3644573)------------------------------
% 28.23/10.86 % (3644573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644573)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644573)Termination reason: Refutation not found, incomplete strategy
% 28.23/10.86 % (3644573)Time elapsed: 0.103 s
% 28.23/10.86 % (3644573)Peak memory usage: 116 MB
% 28.23/10.86 % (3644573)Instructions burned: 116 (million)
% 28.23/10.86 % (3644575)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=1686689676:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 28.23/10.86 % (3644573)------------------------------
% 28.23/10.86 % (3644573)------------------------------
% 28.23/10.86 % (3644577)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=1596991706:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2962 on theBenchmark for (2962ds/150Mi)
% 28.23/10.86 % (3644577)Instruction limit reached!
% 28.23/10.86 % (3644577)------------------------------
% 28.23/10.86 % (3644577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644577)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644577)Termination reason: Instruction limit
% 28.23/10.86 % (3644577)Termination phase: Preprocessing 1
% 28.23/10.86 % (3644577)Time elapsed: 0.129 s
% 28.23/10.86 % (3644577)Peak memory usage: 112 MB
% 28.23/10.86 % (3644577)Instructions burned: 151 (million)
% 28.23/10.86 % (3644579)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1596013207:i=14155:bd=all_2959 on theBenchmark for (2959ds/14155Mi)
% 28.23/10.86 % (3644557)Instruction limit reached!
% 28.23/10.86 % (3644557)------------------------------
% 28.23/10.86 % (3644557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644557)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644557)Termination reason: Instruction limit
% 28.23/10.86 % (3644557)Termination phase: Saturation
% 28.23/10.86 % (3644557)Time elapsed: 3.328 s
% 28.23/10.86 % (3644557)Peak memory usage: 231 MB
% 28.23/10.86 % (3644557)Instructions burned: 5202 (million)
% 28.23/10.86 % (3644581)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=385592479:i=667:av=off:fsr=off_2945 on theBenchmark for (2945ds/667Mi)
% 28.23/10.86 % (3644581)Instruction limit reached!
% 28.23/10.86 % (3644581)------------------------------
% 28.23/10.86 % (3644581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644581)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644581)Termination reason: Instruction limit
% 28.23/10.86 % (3644581)Termination phase: NewCNF
% 28.23/10.86 % (3644581)Time elapsed: 0.516 s
% 28.23/10.86 % (3644581)Peak memory usage: 146 MB
% 28.23/10.86 % (3644581)Instructions burned: 668 (million)
% 28.23/10.86 % (3644583)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=2620777023:s2a=on:i=185:s2at=1.8:fdi=4_2938 on theBenchmark for (2938ds/185Mi)
% 28.23/10.86 % (3644575)Instruction limit reached!
% 28.23/10.86 % (3644575)------------------------------
% 28.23/10.86 % (3644575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644575)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644575)Termination reason: Instruction limit
% 28.23/10.86 % (3644575)Termination phase: Saturation
% 28.23/10.86 % (3644575)Time elapsed: 2.828 s
% 28.23/10.86 % (3644575)Peak memory usage: 495 MB
% 28.23/10.86 % (3644575)Instructions burned: 6060 (million)
% 28.23/10.86 % (3644583)Instruction limit reached!
% 28.23/10.86 % (3644583)------------------------------
% 28.23/10.86 % (3644583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644583)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644583)Termination reason: Instruction limit
% 28.23/10.86 % (3644583)Termination phase: SInE selection
% 28.23/10.86 % (3644583)Time elapsed: 0.156 s
% 28.23/10.86 % (3644583)Peak memory usage: 111 MB
% 28.23/10.86 % (3644583)Instructions burned: 185 (million)
% 28.23/10.86 % (3644585)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2002705063:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2936 on theBenchmark for (2936ds/193Mi)
% 28.23/10.86 % (3644585)Instruction limit reached!
% 28.23/10.86 % (3644585)------------------------------
% 28.23/10.86 % (3644585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644585)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644585)Termination reason: Instruction limit
% 28.23/10.86 % (3644585)Termination phase: SInE selection
% 28.23/10.86 % (3644585)Time elapsed: 0.094 s
% 28.23/10.86 % (3644585)Peak memory usage: 111 MB
% 28.23/10.86 % (3644585)Instructions burned: 194 (million)
% 28.23/10.86 % (3644586)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=873429223:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2935 on theBenchmark for (2935ds/4850Mi)
% 28.23/10.86 % (3644588)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2015275973:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 28.23/10.86 % (3644586)Instruction limit reached!
% 28.23/10.86 % (3644586)------------------------------
% 28.23/10.86 % (3644586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644586)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644586)Termination reason: Instruction limit
% 28.23/10.86 % (3644586)Termination phase: Saturation
% 28.23/10.86 % (3644586)Time elapsed: 2.771 s
% 28.23/10.86 % (3644586)Peak memory usage: 206 MB
% 28.23/10.86 % (3644586)Instructions burned: 4852 (million)
% 28.23/10.86 % (3644564)First to succeed.
% 28.23/10.86 % (3644591)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4061296490:i=319:kws=precedence:fsr=off_2905 on theBenchmark for (2905ds/319Mi)
% 28.23/10.86 % (3644564)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3644513"
% 28.23/10.86 % (3644591)Instruction limit reached!
% 28.23/10.86 % (3644591)------------------------------
% 28.23/10.86 % (3644591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.23/10.86 % (3644591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/10.86 % (3644591)CaDiCaL version: 2.1.3
% 28.23/10.86 % (3644591)Termination reason: Instruction limit
% 28.23/10.86 % (3644591)Termination phase: Naming
% 28.23/10.86 % (3644591)Time elapsed: 0.251 s
% 28.23/10.86 % (3644591)Peak memory usage: 132 MB
% 28.23/10.86 % (3644591)Instructions burned: 319 (million)
% 28.23/10.86 % (3644564)Refutation found. Thanks to Tanya!
% 28.23/10.86 % SZS status Theorem for theBenchmark
% 28.23/10.86 % SZS output start Proof for theBenchmark
% See solution above
% 64.89/11.07 % (3644564)------------------------------
% 64.89/11.07 % (3644564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.89/11.07 % (3644564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.89/11.07 % (3644564)CaDiCaL version: 2.1.3
% 64.89/11.07 % (3644564)Termination reason: Refutation
% 64.89/11.07 % (3644564)Time elapsed: 6.897 s
% 64.89/11.07 % (3644564)Peak memory usage: 288 MB
% 64.89/11.07 % (3644564)Instructions burned: 10788 (million)
% 64.89/11.07 % (3644564)------------------------------
% 64.89/11.07 % (3644564)------------------------------
% 64.89/11.07 % (3644513)Success in time 9.993 s
% 64.89/11.07 % Vampire exiting
%------------------------------------------------------------------------------