%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT324+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:56 AM UTC 2026
% Result : Theorem 44.63s 7.26s
% Output : Refutation 45.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 28
% Syntax : Number of formulae : 310 ( 31 unt; 12 def)
% Number of atoms : 1812 ( 119 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 2567 (1065 ~;1283 |; 159 &)
% ( 27 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 12 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 276 ( 0 sgn 265 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f2505,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m1_filter_0(X3,X0)
=> ~ ( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_0) ).
fof(f2540,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f2564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2872,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2873,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f2903,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f2908,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(f2941,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f2942,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f2960,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f2964,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f2987,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f2995,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_2) ).
fof(f2996,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2995]) ).
fof(f5574,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2505]) ).
fof(f5575,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5574]) ).
fof(f5636,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2540]) ).
fof(f5637,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5636]) ).
fof(f5684,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2564]) ).
fof(f5685,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5684]) ).
fof(f5735,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2597]) ).
fof(f5736,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5735]) ).
fof(f5871,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f6080,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2872]) ).
fof(f6081,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6080]) ).
fof(f6082,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2873]) ).
fof(f6083,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6082]) ).
fof(f6142,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2903]) ).
fof(f6143,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f6142]) ).
fof(f6152,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f2908]) ).
fof(f6153,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f6152]) ).
fof(f6215,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2941]) ).
fof(f6216,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6215]) ).
fof(f6217,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2942]) ).
fof(f6218,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6217]) ).
fof(f6253,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2960]) ).
fof(f6254,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6253]) ).
fof(f6261,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2964]) ).
fof(f6262,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6261]) ).
fof(f6307,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2987]) ).
fof(f6308,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6307]) ).
fof(f6323,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2996]) ).
fof(f6324,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f6323]) ).
fof(f6574,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f6575,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f6574]) ).
fof(f7883,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ( v1_filter_0(sK974(X0,X1,X2),X0)
& ( ( r2_hidden(X1,sK974(X0,X1,X2))
& ~ r2_hidden(X2,sK974(X0,X1,X2)) )
| ( ~ r2_hidden(X1,sK974(X0,X1,X2))
& r2_hidden(X2,sK974(X0,X1,X2)) ) )
& m1_filter_0(sK974(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK974]),skolemize(X3,sK974(X0,X1,X2))],[f5575]) ).
fof(f8029,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6081]) ).
fof(f8049,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6216]) ).
fof(f8063,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6254]) ).
fof(f8066,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6262]) ).
fof(f8067,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f8066]) ).
fof(f8068,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f8067]) ).
fof(f8069,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ( ~ r1_tarski(X2,sK1072(X0,X1,X2))
& r1_tarski(X1,sK1072(X0,X1,X2))
& m2_filter_2(sK1072(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1072]),skolemize(X3,sK1072(X0,X1,X2))],[f8068]) ).
fof(f8080,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6308]) ).
fof(f8081,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f8080]) ).
fof(f8090,plain,
( sK1079 != sK1080
& ! [X3] :
( ~ r2_filter_2(sK1078,X3)
| ( ( ~ r2_hidden(sK1079,X3)
| r2_hidden(sK1080,X3) )
& ( r2_hidden(sK1079,X3)
| ~ r2_hidden(sK1080,X3) ) )
| ~ m2_filter_2(X3,sK1078) )
& m1_subset_1(sK1080,u1_struct_0(sK1078))
& m1_subset_1(sK1079,u1_struct_0(sK1078))
& ~ v3_struct_0(sK1078)
& v10_lattices(sK1078)
& v17_lattices(sK1078)
& l3_lattices(sK1078) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1078,sK1079,sK1080]),skolemize(X0,sK1078),skolemize(X1,sK1079),skolemize(X2,sK1080)],[f6324]) ).
fof(f8171,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f6575]) ).
fof(f12665,plain,
! [X2,X0,X1] :
( m1_filter_0(sK974(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7883]) ).
fof(f12667,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,sK974(X0,X1,X2))
| X1 = X2
| ~ r2_hidden(X1,sK974(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7883]) ).
fof(f12668,plain,
! [X2,X0,X1] :
( r2_hidden(X2,sK974(X0,X1,X2))
| r2_hidden(X1,sK974(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)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7883]) ).
fof(f12670,plain,
! [X2,X0,X1] :
( v1_filter_0(sK974(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7883]) ).
fof(f12737,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5637]) ).
fof(f12738,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5637]) ).
fof(f12786,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5685]) ).
fof(f12933,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f5736]) ).
fof(f13054,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5871]) ).
fof(f13343,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f13344,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f13346,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6083]) ).
fof(f13379,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f6143]) ).
fof(f13384,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| m2_filter_2(k19_filter_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f6153]) ).
fof(f13456,plain,
! [X0,X1] :
( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8049]) ).
fof(f13457,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8049]) ).
fof(f13458,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6218]) ).
fof(f13500,plain,
! [X0,X1] :
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8063]) ).
fof(f13511,plain,
! [X2,X0,X1] :
( r1_tarski(X1,sK1072(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8069]) ).
fof(f13512,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,sK1072(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8069]) ).
fof(f13573,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8081]) ).
fof(f13574,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8081]) ).
fof(f13575,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8081]) ).
fof(f13611,plain,
l3_lattices(sK1078),
inference(cnf_transformation,[],[f8090]) ).
fof(f13612,plain,
v17_lattices(sK1078),
inference(cnf_transformation,[],[f8090]) ).
fof(f13613,plain,
v10_lattices(sK1078),
inference(cnf_transformation,[],[f8090]) ).
fof(f13614,plain,
~ v3_struct_0(sK1078),
inference(cnf_transformation,[],[f8090]) ).
fof(f13615,plain,
m1_subset_1(sK1079,u1_struct_0(sK1078)),
inference(cnf_transformation,[],[f8090]) ).
fof(f13616,plain,
m1_subset_1(sK1080,u1_struct_0(sK1078)),
inference(cnf_transformation,[],[f8090]) ).
fof(f13617,plain,
! [X3] :
( ~ r2_filter_2(sK1078,X3)
| r2_hidden(sK1079,X3)
| ~ r2_hidden(sK1080,X3)
| ~ m2_filter_2(X3,sK1078) ),
inference(cnf_transformation,[],[f8090]) ).
fof(f13618,plain,
! [X3] :
( ~ r2_filter_2(sK1078,X3)
| ~ r2_hidden(sK1079,X3)
| r2_hidden(sK1080,X3)
| ~ m2_filter_2(X3,sK1078) ),
inference(cnf_transformation,[],[f8090]) ).
fof(f13619,plain,
sK1079 != sK1080,
inference(cnf_transformation,[],[f8090]) ).
fof(f14989,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f8171]) ).
fof(f15546,definition,
sF1081 = u1_struct_0(sK1078),
introduced(definition,[new_symbols(definition,[sF1081])],[function_definition]) ).
fof(f15547,plain,
u1_struct_0(sK1078) = sF1081,
inference(reorient_equations,[],[f15546]) ).
fof(f15548,plain,
m1_subset_1(sK1080,sF1081),
inference(definition_folding,[],[f13616,f15547]) ).
fof(f15549,plain,
m1_subset_1(sK1079,sF1081),
inference(definition_folding,[],[f13615,f15547]) ).
fof(f15551,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f13573]) ).
fof(f15552,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f13574]) ).
fof(f15553,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f13575]) ).
fof(f18116,plain,
( v3_struct_0(sK1078)
| u1_struct_0(sK1078) = u1_struct_0(k1_lattice2(sK1078)) ),
inference(resolution,[],[f12933,f13611]) ).
fof(f18117,plain,
u1_struct_0(sK1078) = u1_struct_0(k1_lattice2(sK1078)),
inference(forward_subsumption_resolution,[],[f18116,f13614]) ).
fof(f18118,plain,
sF1081 = u1_struct_0(k1_lattice2(sK1078)),
inference(forward_demodulation,[],[f18117,f15547]) ).
fof(f18122,definition,
( spl1082_343
<=> l3_lattices(k1_lattice2(sK1078)) ),
introduced(definition,[new_symbols(definition,[spl1082_343])],[avatar_definition]) ).
fof(f18123,plain,
( l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_343 ),
inference(avatar_component_clause,[],[f18122]) ).
fof(f18124,plain,
( ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_343 ),
inference(avatar_component_clause,[],[f18122]) ).
fof(f18126,definition,
( spl1082_344
<=> v10_lattices(k1_lattice2(sK1078)) ),
introduced(definition,[new_symbols(definition,[spl1082_344])],[avatar_definition]) ).
fof(f18127,plain,
( v10_lattices(k1_lattice2(sK1078))
| ~ spl1082_344 ),
inference(avatar_component_clause,[],[f18126]) ).
fof(f18128,plain,
( ~ v10_lattices(k1_lattice2(sK1078))
| spl1082_344 ),
inference(avatar_component_clause,[],[f18126]) ).
fof(f18130,definition,
( spl1082_345
<=> v3_struct_0(k1_lattice2(sK1078)) ),
introduced(definition,[new_symbols(definition,[spl1082_345])],[avatar_definition]) ).
fof(f18131,plain,
( ~ v3_struct_0(k1_lattice2(sK1078))
| spl1082_345 ),
inference(avatar_component_clause,[],[f18130]) ).
fof(f18132,plain,
( v3_struct_0(k1_lattice2(sK1078))
| ~ spl1082_345 ),
inference(avatar_component_clause,[],[f18130]) ).
fof(f18215,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m1_filter_0(X0,k1_lattice2(sK1078))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078)) ),
inference(superposition,[],[f12737,f18118]) ).
fof(f18384,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| k7_filter_2(sK1078,X0) = X0
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078) ),
inference(superposition,[],[f13458,f15547]) ).
fof(f18388,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| k7_filter_2(sK1078,X0) = X0
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078) ),
inference(forward_subsumption_resolution,[],[f18384,f13614]) ).
fof(f18389,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| k7_filter_2(sK1078,X0) = X0
| ~ l3_lattices(sK1078) ),
inference(forward_subsumption_resolution,[],[f18388,f13613]) ).
fof(f18390,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| k7_filter_2(sK1078,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f18389,f13611]) ).
fof(f18456,plain,
( ~ l3_lattices(sK1078)
| spl1082_343 ),
inference(resolution,[],[f13054,f18124]) ).
fof(f18459,plain,
( $false
| spl1082_343 ),
inference(forward_subsumption_resolution,[],[f18456,f13611]) ).
fof(f18460,plain,
spl1082_343,
inference(avatar_contradiction_clause,[],[f18459]) ).
fof(f18469,plain,
( v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ spl1082_345 ),
inference(resolution,[],[f18132,f15553]) ).
fof(f18472,plain,
( ~ v10_lattices(sK1078)
| ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18469,f13614]) ).
fof(f18475,plain,
( ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18472,f13613]) ).
fof(f18476,plain,
( ~ l3_lattices(sK1078)
| ~ spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18475,f13612]) ).
fof(f18477,plain,
( $false
| ~ spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18476,f13611]) ).
fof(f18478,plain,
~ spl1082_345,
inference(avatar_contradiction_clause,[],[f18477]) ).
fof(f18591,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_0(X0,k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(resolution,[],[f13456,f13343]) ).
fof(f18593,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_0(X0,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(forward_subsumption_resolution,[],[f18591,f12786]) ).
fof(f18594,plain,
! [X0,X1] :
( m1_filter_0(X0,k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X0,X1)
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(forward_subsumption_resolution,[],[f18593,f13054]) ).
fof(f18712,plain,
( v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| spl1082_344 ),
inference(resolution,[],[f15552,f18128]) ).
fof(f18721,plain,
( ~ v10_lattices(sK1078)
| ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| spl1082_344 ),
inference(forward_subsumption_resolution,[],[f18712,f13614]) ).
fof(f18726,plain,
( ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| spl1082_344 ),
inference(forward_subsumption_resolution,[],[f18721,f13613]) ).
fof(f18727,plain,
( ~ l3_lattices(sK1078)
| spl1082_344 ),
inference(forward_subsumption_resolution,[],[f18726,f13612]) ).
fof(f18728,plain,
( $false
| spl1082_344 ),
inference(forward_subsumption_resolution,[],[f18727,f13611]) ).
fof(f18729,plain,
spl1082_344,
inference(avatar_contradiction_clause,[],[f18728]) ).
fof(f18734,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m1_filter_0(X0,k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078)) )
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18215,f18131]) ).
fof(f18745,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m1_filter_0(X0,k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078)) )
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18734,f18127]) ).
fof(f18756,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK1078))
| m1_subset_1(X0,k1_zfmisc_1(sF1081)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18745,f18123]) ).
fof(f18772,definition,
( spl1082_376
<=> v17_lattices(k1_lattice2(sK1078)) ),
introduced(definition,[new_symbols(definition,[spl1082_376])],[avatar_definition]) ).
fof(f18773,plain,
( v17_lattices(k1_lattice2(sK1078))
| ~ spl1082_376 ),
inference(avatar_component_clause,[],[f18772]) ).
fof(f18774,plain,
( ~ v17_lattices(k1_lattice2(sK1078))
| spl1082_376 ),
inference(avatar_component_clause,[],[f18772]) ).
fof(f18807,plain,
( v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| spl1082_376 ),
inference(resolution,[],[f18774,f15551]) ).
fof(f18808,plain,
( ~ v10_lattices(sK1078)
| ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| spl1082_376 ),
inference(forward_subsumption_resolution,[],[f18807,f13614]) ).
fof(f18809,plain,
( ~ v17_lattices(sK1078)
| ~ l3_lattices(sK1078)
| spl1082_376 ),
inference(forward_subsumption_resolution,[],[f18808,f13613]) ).
fof(f18810,plain,
( ~ l3_lattices(sK1078)
| spl1082_376 ),
inference(forward_subsumption_resolution,[],[f18809,f13612]) ).
fof(f18811,plain,
( $false
| spl1082_376 ),
inference(forward_subsumption_resolution,[],[f18810,f13611]) ).
fof(f18812,plain,
spl1082_376,
inference(avatar_contradiction_clause,[],[f18811]) ).
fof(f18969,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ m2_filter_2(X0,sK1078)
| ~ v10_lattices(k1_lattice2(sK1078)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(resolution,[],[f18756,f18594]) ).
fof(f18975,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ m2_filter_2(X0,sK1078)
| ~ v10_lattices(k1_lattice2(sK1078)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18969,f13614]) ).
fof(f18978,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ l3_lattices(sK1078)
| ~ m2_filter_2(X0,sK1078)
| ~ v10_lattices(k1_lattice2(sK1078)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18975,f13613]) ).
fof(f18981,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m2_filter_2(X0,sK1078)
| ~ v10_lattices(k1_lattice2(sK1078)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18978,f13611]) ).
fof(f18984,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m2_filter_2(X0,sK1078) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f18981,f18127]) ).
fof(f18992,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK1078,X0),sK1078) ),
inference(superposition,[],[f13384,f15547]) ).
fof(f18998,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK1078,X0),sK1078) ),
inference(forward_subsumption_resolution,[],[f18992,f13614]) ).
fof(f19001,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ l3_lattices(sK1078)
| v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK1078,X0),sK1078) ),
inference(forward_subsumption_resolution,[],[f18998,f13613]) ).
fof(f19003,plain,
! [X0] :
( m2_filter_2(k19_filter_2(sK1078,X0),sK1078)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1081)) ),
inference(forward_subsumption_resolution,[],[f19001,f13611]) ).
fof(f19004,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| k7_filter_2(sK1078,k19_filter_2(sK1078,X0)) = k15_filter_2(sK1078,k19_filter_2(sK1078,X0)) ),
inference(resolution,[],[f19003,f13379]) ).
fof(f19009,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| k7_filter_2(sK1078,k19_filter_2(sK1078,X0)) = k15_filter_2(sK1078,k19_filter_2(sK1078,X0)) ),
inference(forward_subsumption_resolution,[],[f19004,f13614]) ).
fof(f19012,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ l3_lattices(sK1078)
| k7_filter_2(sK1078,k19_filter_2(sK1078,X0)) = k15_filter_2(sK1078,k19_filter_2(sK1078,X0)) ),
inference(forward_subsumption_resolution,[],[f19009,f13613]) ).
fof(f19015,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| v1_xboole_0(X0)
| k7_filter_2(sK1078,k19_filter_2(sK1078,X0)) = k15_filter_2(sK1078,k19_filter_2(sK1078,X0)) ),
inference(forward_subsumption_resolution,[],[f19012,f13611]) ).
fof(f19385,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| m1_filter_2(sK974(X2,X0,X1),X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f12665,f13344]) ).
fof(f19389,plain,
( ! [X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| m1_subset_1(sK974(k1_lattice2(sK1078),X0,X1),k1_zfmisc_1(sF1081)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(resolution,[],[f12665,f18756]) ).
fof(f19390,plain,
! [X2,X0,X1] :
( m1_filter_2(sK974(X2,X0,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f19385]) ).
fof(f19396,plain,
( ! [X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| m1_subset_1(sK974(k1_lattice2(sK1078),X0,X1),k1_zfmisc_1(sF1081)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f19389,f18131]) ).
fof(f19400,plain,
( ! [X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| m1_subset_1(sK974(k1_lattice2(sK1078),X0,X1),k1_zfmisc_1(sF1081)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f19396,f18127]) ).
fof(f19404,plain,
( ! [X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| ~ l3_lattices(k1_lattice2(sK1078))
| m1_subset_1(sK974(k1_lattice2(sK1078),X0,X1),k1_zfmisc_1(sF1081)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_subsumption_resolution,[],[f19400,f18773]) ).
fof(f19408,plain,
( ! [X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| m1_subset_1(sK974(k1_lattice2(sK1078),X0,X1),k1_zfmisc_1(sF1081)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_subsumption_resolution,[],[f19404,f18123]) ).
fof(f19412,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF1081)
| X0 = X1
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| m1_subset_1(sK974(k1_lattice2(sK1078),X0,X1),k1_zfmisc_1(sF1081)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_demodulation,[],[f19408,f18118]) ).
fof(f19416,plain,
( ! [X0,X1] :
( m1_subset_1(sK974(k1_lattice2(sK1078),X0,X1),k1_zfmisc_1(sF1081))
| ~ m1_subset_1(X1,sF1081)
| X0 = X1
| ~ m1_subset_1(X0,sF1081) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_demodulation,[],[f19412,f18118]) ).
fof(f28126,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f13511,f13512]) ).
fof(f28130,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(duplicate_literal_removal,[],[f28126]) ).
fof(f28134,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f28130,f13346]) ).
fof(f28135,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f28134,f14989]) ).
fof(f28140,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m2_filter_2(X0,sK1078)
| k19_filter_2(sK1078,X0) = X0
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078) ),
inference(superposition,[],[f28135,f15547]) ).
fof(f28150,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m2_filter_2(X0,sK1078)
| k19_filter_2(sK1078,X0) = X0
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078) ),
inference(forward_subsumption_resolution,[],[f28140,f13614]) ).
fof(f28154,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m2_filter_2(X0,sK1078)
| k19_filter_2(sK1078,X0) = X0
| ~ l3_lattices(sK1078) ),
inference(forward_subsumption_resolution,[],[f28150,f13613]) ).
fof(f28157,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1081))
| ~ m2_filter_2(X0,sK1078)
| k19_filter_2(sK1078,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f28154,f13611]) ).
fof(f28159,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK1078)
| k19_filter_2(sK1078,X0) = X0 )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f28157,f18984]) ).
fof(f31079,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| X0 = X2
| m2_filter_2(sK974(k1_lattice2(X1),X2,X0),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f19390,f13457]) ).
fof(f31083,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| X0 = X2
| m2_filter_2(sK974(k1_lattice2(X1),X2,X0),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f31079,f12786]) ).
fof(f31084,plain,
! [X2,X0,X1] :
( m2_filter_2(sK974(k1_lattice2(X1),X2,X0),X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| X0 = X2
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f31083,f13054]) ).
fof(f98325,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(resolution,[],[f31084,f28159]) ).
fof(f98384,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| ~ v17_lattices(k1_lattice2(sK1078))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345 ),
inference(forward_subsumption_resolution,[],[f98325,f18127]) ).
fof(f98450,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_subsumption_resolution,[],[f98384,f18773]) ).
fof(f98515,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_subsumption_resolution,[],[f98450,f13614]) ).
fof(f98576,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| ~ l3_lattices(sK1078)
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_subsumption_resolution,[],[f98515,f13613]) ).
fof(f98637,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1078)))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_subsumption_resolution,[],[f98576,f13611]) ).
fof(f98697,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF1081)
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1078)))
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_demodulation,[],[f98637,f18118]) ).
fof(f98757,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF1081)
| ~ m1_subset_1(X0,sF1081)
| X0 = X1
| sK974(k1_lattice2(sK1078),X0,X1) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,X1)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_demodulation,[],[f98697,f18118]) ).
fof(f98937,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1081)
| sK1080 = X0
| sK974(k1_lattice2(sK1078),X0,sK1080) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),X0,sK1080)) )
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(resolution,[],[f98757,f15548]) ).
fof(f99000,plain,
( sK1079 = sK1080
| sK974(k1_lattice2(sK1078),sK1079,sK1080) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(resolution,[],[f98937,f15549]) ).
fof(f99013,plain,
( sK974(k1_lattice2(sK1078),sK1079,sK1080) = k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(forward_subsumption_resolution,[],[f99000,f13619]) ).
fof(f99101,plain,
( m2_filter_2(sK974(k1_lattice2(sK1078),sK1079,sK1080),sK1078)
| v1_xboole_0(sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ m1_subset_1(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_zfmisc_1(sF1081))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(superposition,[],[f19003,f99013]) ).
fof(f99110,definition,
( spl1082_2140
<=> m1_subset_1(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_zfmisc_1(sF1081)) ),
introduced(definition,[new_symbols(definition,[spl1082_2140])],[avatar_definition]) ).
fof(f99111,plain,
( m1_subset_1(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_zfmisc_1(sF1081))
| ~ spl1082_2140 ),
inference(avatar_component_clause,[],[f99110]) ).
fof(f99112,plain,
( ~ m1_subset_1(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_zfmisc_1(sF1081))
| spl1082_2140 ),
inference(avatar_component_clause,[],[f99110]) ).
fof(f99114,definition,
( spl1082_2141
<=> v1_xboole_0(sK974(k1_lattice2(sK1078),sK1079,sK1080)) ),
introduced(definition,[new_symbols(definition,[spl1082_2141])],[avatar_definition]) ).
fof(f99115,plain,
( ~ v1_xboole_0(sK974(k1_lattice2(sK1078),sK1079,sK1080))
| spl1082_2141 ),
inference(avatar_component_clause,[],[f99114]) ).
fof(f99116,plain,
( v1_xboole_0(sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_2141 ),
inference(avatar_component_clause,[],[f99114]) ).
fof(f99118,definition,
( spl1082_2142
<=> m2_filter_2(sK974(k1_lattice2(sK1078),sK1079,sK1080),sK1078) ),
introduced(definition,[new_symbols(definition,[spl1082_2142])],[avatar_definition]) ).
fof(f99120,plain,
( m2_filter_2(sK974(k1_lattice2(sK1078),sK1079,sK1080),sK1078)
| ~ spl1082_2142 ),
inference(avatar_component_clause,[],[f99118]) ).
fof(f99121,plain,
( ~ spl1082_2140
| spl1082_2141
| spl1082_2142
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376 ),
inference(avatar_split_clause,[],[f99101,f18772,f18130,f18126,f18122,f99118,f99114,f99110]) ).
fof(f99139,plain,
( ~ m1_subset_1(sK1080,sF1081)
| sK1079 = sK1080
| ~ m1_subset_1(sK1079,sF1081)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2140 ),
inference(resolution,[],[f99112,f19416]) ).
fof(f99147,plain,
( sK1079 = sK1080
| ~ m1_subset_1(sK1079,sF1081)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2140 ),
inference(forward_subsumption_resolution,[],[f99139,f15548]) ).
fof(f99148,plain,
( ~ m1_subset_1(sK1079,sF1081)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2140 ),
inference(forward_subsumption_resolution,[],[f99147,f13619]) ).
fof(f99149,plain,
( $false
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2140 ),
inference(forward_subsumption_resolution,[],[f99148,f15549]) ).
fof(f99150,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2140 ),
inference(avatar_contradiction_clause,[],[f99149]) ).
fof(f99239,definition,
( spl1082_2148
<=> r2_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080)) ),
introduced(definition,[new_symbols(definition,[spl1082_2148])],[avatar_definition]) ).
fof(f99240,plain,
( ~ r2_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| spl1082_2148 ),
inference(avatar_component_clause,[],[f99239]) ).
fof(f99241,plain,
( r2_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_2148 ),
inference(avatar_component_clause,[],[f99239]) ).
fof(f99282,definition,
( spl1082_2157
<=> r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080)) ),
introduced(definition,[new_symbols(definition,[spl1082_2157])],[avatar_definition]) ).
fof(f99283,plain,
( ~ r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| spl1082_2157 ),
inference(avatar_component_clause,[],[f99282]) ).
fof(f99284,plain,
( r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_2157 ),
inference(avatar_component_clause,[],[f99282]) ).
fof(f99287,definition,
( spl1082_2158
<=> r2_hidden(sK1080,sK974(k1_lattice2(sK1078),sK1079,sK1080)) ),
introduced(definition,[new_symbols(definition,[spl1082_2158])],[avatar_definition]) ).
fof(f99288,plain,
( ~ r2_hidden(sK1080,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| spl1082_2158 ),
inference(avatar_component_clause,[],[f99287]) ).
fof(f99289,plain,
( r2_hidden(sK1080,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_2158 ),
inference(avatar_component_clause,[],[f99287]) ).
fof(f99394,plain,
( ~ r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| r2_hidden(sK1080,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ m2_filter_2(sK974(k1_lattice2(sK1078),sK1079,sK1080),sK1078)
| ~ spl1082_2148 ),
inference(resolution,[],[f99241,f13618]) ).
fof(f99395,plain,
( r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ r2_hidden(sK1080,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ m2_filter_2(sK974(k1_lattice2(sK1078),sK1079,sK1080),sK1078)
| ~ spl1082_2148 ),
inference(resolution,[],[f99241,f13617]) ).
fof(f99399,plain,
( r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ r2_hidden(sK1080,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_2142
| ~ spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f99395,f99120]) ).
fof(f99400,plain,
( ~ r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| r2_hidden(sK1080,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_2142
| ~ spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f99394,f99120]) ).
fof(f99404,plain,
( ~ spl1082_2158
| spl1082_2157
| ~ spl1082_2142
| ~ spl1082_2148 ),
inference(avatar_split_clause,[],[f99399,f99239,f99118,f99282,f99287]) ).
fof(f99405,plain,
( spl1082_2158
| ~ spl1082_2157
| ~ spl1082_2142
| ~ spl1082_2148 ),
inference(avatar_split_clause,[],[f99400,f99239,f99118,f99282,f99287]) ).
fof(f99414,plain,
( sK974(k1_lattice2(sK1078),sK1079,sK1080) = k7_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_2140 ),
inference(resolution,[],[f99111,f18390]) ).
fof(f99416,plain,
( v1_xboole_0(sK974(k1_lattice2(sK1078),sK1079,sK1080))
| k7_filter_2(sK1078,k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))) = k15_filter_2(sK1078,k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080)))
| ~ spl1082_2140 ),
inference(resolution,[],[f99111,f19015]) ).
fof(f99797,definition,
( spl1082_2183
<=> m1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078)) ),
introduced(definition,[new_symbols(definition,[spl1082_2183])],[avatar_definition]) ).
fof(f99798,plain,
( m1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| ~ spl1082_2183 ),
inference(avatar_component_clause,[],[f99797]) ).
fof(f99799,plain,
( ~ m1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| spl1082_2183 ),
inference(avatar_component_clause,[],[f99797]) ).
fof(f99809,plain,
( sK1079 = sK1080
| ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_2183 ),
inference(resolution,[],[f99799,f12665]) ).
fof(f99815,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99809,f13619]) ).
fof(f99817,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_345
| spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99815,f18131]) ).
fof(f99819,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_344
| spl1082_345
| spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99817,f18127]) ).
fof(f99821,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99819,f18773]) ).
fof(f99824,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99821,f18123]) ).
fof(f99825,plain,
( ~ m1_subset_1(sK1080,sF1081)
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(forward_demodulation,[],[f99824,f18118]) ).
fof(f99826,plain,
( ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99825,f15548]) ).
fof(f99827,plain,
( ~ m1_subset_1(sK1079,sF1081)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(forward_demodulation,[],[f99826,f18118]) ).
fof(f99828,plain,
( $false
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99827,f15549]) ).
fof(f99829,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(avatar_contradiction_clause,[],[f99828]) ).
fof(f99844,plain,
( ~ v1_xboole_0(sK974(k1_lattice2(sK1078),sK1079,sK1080))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_2183 ),
inference(resolution,[],[f99798,f12738]) ).
fof(f99900,plain,
( r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| sK1079 = sK1080
| ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_2158 ),
inference(resolution,[],[f99288,f12668]) ).
fof(f99902,plain,
( sK1079 = sK1080
| ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99900,f99283]) ).
fof(f99904,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99902,f13619]) ).
fof(f99906,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_345
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99904,f18131]) ).
fof(f99908,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_344
| spl1082_345
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99906,f18127]) ).
fof(f99910,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99908,f18773]) ).
fof(f99912,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99910,f18123]) ).
fof(f99914,plain,
( ~ m1_subset_1(sK1080,sF1081)
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(forward_demodulation,[],[f99912,f18118]) ).
fof(f99916,plain,
( ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99914,f15548]) ).
fof(f99918,plain,
( ~ m1_subset_1(sK1079,sF1081)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(forward_demodulation,[],[f99916,f18118]) ).
fof(f99920,plain,
( $false
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f99918,f15549]) ).
fof(f99921,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(avatar_contradiction_clause,[],[f99920]) ).
fof(f99927,plain,
( v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_2141
| ~ spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99844,f99116]) ).
fof(f99931,plain,
( ~ v10_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_345
| ~ spl1082_2141
| ~ spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99927,f18131]) ).
fof(f99935,plain,
( ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_344
| spl1082_345
| ~ spl1082_2141
| ~ spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99931,f18127]) ).
fof(f99937,plain,
( $false
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_2141
| ~ spl1082_2183 ),
inference(forward_subsumption_resolution,[],[f99935,f18123]) ).
fof(f99938,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_2141
| ~ spl1082_2183 ),
inference(avatar_contradiction_clause,[],[f99937]) ).
fof(f99976,plain,
( k7_filter_2(sK1078,k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))) = k15_filter_2(sK1078,k19_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080)))
| ~ spl1082_2140
| spl1082_2141 ),
inference(forward_subsumption_resolution,[],[f99416,f99115]) ).
fof(f100033,plain,
( k7_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080)) = k15_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141 ),
inference(forward_demodulation,[],[f99976,f99013]) ).
fof(f100264,plain,
( sK974(k1_lattice2(sK1078),sK1079,sK1080) = k15_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141 ),
inference(forward_demodulation,[],[f100033,f99414]) ).
fof(f100282,plain,
( sK1079 = sK1080
| ~ r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_2158 ),
inference(resolution,[],[f99289,f12667]) ).
fof(f100285,plain,
( ~ r2_hidden(sK1079,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100282,f13619]) ).
fof(f100286,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100285,f99284]) ).
fof(f100287,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| spl1082_345
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100286,f18131]) ).
fof(f100288,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_344
| spl1082_345
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100287,f18127]) ).
fof(f100289,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100288,f18773]) ).
fof(f100290,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100289,f18123]) ).
fof(f100291,plain,
( ~ m1_subset_1(sK1080,sF1081)
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_demodulation,[],[f100290,f18118]) ).
fof(f100292,plain,
( ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100291,f15548]) ).
fof(f100293,plain,
( ~ m1_subset_1(sK1079,sF1081)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_demodulation,[],[f100292,f18118]) ).
fof(f100294,plain,
( $false
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(forward_subsumption_resolution,[],[f100293,f15549]) ).
fof(f100295,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(avatar_contradiction_clause,[],[f100294]) ).
fof(f100324,plain,
( ~ v1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| r2_filter_2(sK1078,sK974(k1_lattice2(sK1078),sK1079,sK1080))
| ~ m2_filter_2(sK974(k1_lattice2(sK1078),sK1079,sK1080),sK1078)
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141 ),
inference(superposition,[],[f13500,f100264]) ).
fof(f100325,plain,
( ~ v1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| ~ m2_filter_2(sK974(k1_lattice2(sK1078),sK1079,sK1080),sK1078)
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100324,f99240]) ).
fof(f100326,plain,
( ~ v1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| v3_struct_0(sK1078)
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100325,f99120]) ).
fof(f100327,plain,
( ~ v1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| ~ v10_lattices(sK1078)
| ~ l3_lattices(sK1078)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100326,f13614]) ).
fof(f100328,plain,
( ~ v1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| ~ l3_lattices(sK1078)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100327,f13613]) ).
fof(f100329,plain,
( ~ v1_filter_0(sK974(k1_lattice2(sK1078),sK1079,sK1080),k1_lattice2(sK1078))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100328,f13611]) ).
fof(f100332,plain,
( sK1079 = sK1080
| ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(resolution,[],[f100329,f12670]) ).
fof(f100333,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| v3_struct_0(k1_lattice2(sK1078))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100332,f13619]) ).
fof(f100334,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v10_lattices(k1_lattice2(sK1078))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100333,f18131]) ).
fof(f100335,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ v17_lattices(k1_lattice2(sK1078))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100334,f18127]) ).
fof(f100336,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ l3_lattices(k1_lattice2(sK1078))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100335,f18773]) ).
fof(f100337,plain,
( ~ m1_subset_1(sK1080,u1_struct_0(k1_lattice2(sK1078)))
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100336,f18123]) ).
fof(f100338,plain,
( ~ m1_subset_1(sK1080,sF1081)
| ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_demodulation,[],[f100337,f18118]) ).
fof(f100339,plain,
( ~ m1_subset_1(sK1079,u1_struct_0(k1_lattice2(sK1078)))
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100338,f15548]) ).
fof(f100340,plain,
( ~ m1_subset_1(sK1079,sF1081)
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_demodulation,[],[f100339,f18118]) ).
fof(f100341,plain,
( $false
| ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(forward_subsumption_resolution,[],[f100340,f15549]) ).
fof(f100342,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(avatar_contradiction_clause,[],[f100341]) ).
cnf(s311,plain,
spl1082_343,
inference(sat_conversion,[],[f18460]) ).
cnf(s314,plain,
~ spl1082_345,
inference(sat_conversion,[],[f18478]) ).
cnf(s329,plain,
spl1082_344,
inference(sat_conversion,[],[f18729]) ).
cnf(s334,plain,
spl1082_376,
inference(sat_conversion,[],[f18812]) ).
cnf(s2471,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| spl1082_2142 ),
inference(sat_conversion,[],[f99121]) ).
cnf(s2476,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2140 ),
inference(sat_conversion,[],[f99150]) ).
cnf(s2505,plain,
( ~ spl1082_2142
| ~ spl1082_2148
| spl1082_2157
| ~ spl1082_2158 ),
inference(sat_conversion,[],[f99404]) ).
cnf(s2506,plain,
( ~ spl1082_2142
| ~ spl1082_2148
| ~ spl1082_2157
| spl1082_2158 ),
inference(sat_conversion,[],[f99405]) ).
cnf(s2523,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2183 ),
inference(sat_conversion,[],[f99829]) ).
cnf(s2529,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| spl1082_2157
| spl1082_2158 ),
inference(sat_conversion,[],[f99921]) ).
cnf(s2530,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_2141
| ~ spl1082_2183 ),
inference(sat_conversion,[],[f99938]) ).
cnf(s2537,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2157
| ~ spl1082_2158 ),
inference(sat_conversion,[],[f100295]) ).
cnf(s2539,plain,
( ~ spl1082_343
| ~ spl1082_344
| spl1082_345
| ~ spl1082_376
| ~ spl1082_2140
| spl1082_2141
| ~ spl1082_2142
| spl1082_2148 ),
inference(sat_conversion,[],[f100342]) ).
cnf(s2604,plain,
spl1082_2183,
inference(rat,[],[s2523,s314,s334,s329,s311]) ).
cnf(s2605,plain,
spl1082_2140,
inference(rat,[],[s2476,s314,s334,s329,s311]) ).
cnf(s2648,plain,
~ spl1082_2141,
inference(rat,[],[s2530,s311,s314,s329,s2604]) ).
cnf(s2695,plain,
spl1082_2142,
inference(rat,[],[s2471,s2605,s311,s314,s334,s329,s2648]) ).
cnf(s2714,plain,
spl1082_2148,
inference(rat,[],[s2539,s2648,s2605,s311,s314,s334,s329,s2695]) ).
cnf(s2781,plain,
spl1082_2157,
inference(rat,[],[s2505,s2529,s2695,s2714,s329,s334,s314,s311]) ).
cnf(s2782,plain,
~ spl1082_2158,
inference(rat,[],[s2537,s311,s314,s334,s329,s2781]) ).
cnf(s2783,plain,
$false,
inference(rat,[],[s2506,s2714,s2695,s2782,s2781]) ).
fof(f100343,plain,
$false,
inference(avatar_sat_refutation,[],[s2783]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT324+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 14:38:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.80/3.01 % (875431)Detected formulas, will run a generic FOF schedule.
% 13.80/3.01 % (875436)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=70460703:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 13.80/3.01 % (875437)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=215391543:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 13.80/3.01 % (875438)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=2659643000:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 13.80/3.01 % (875439)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3678541931:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 13.80/3.01 % (875440)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=513711219:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 13.80/3.01 % (875442)dis-21_1_sil=8000:lcm=predicate:random_seed=2145001171:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 13.80/3.01 % (875439)Refutation not found, incomplete strategy
% 13.80/3.01 % (875439)------------------------------
% 13.80/3.01 % (875439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/3.01 % (875439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/3.01 % (875439)CaDiCaL version: 2.1.3
% 13.80/3.01 % (875439)Termination reason: Refutation not found, incomplete strategy
% 13.80/3.01 % (875439)Time elapsed: 0.014 s
% 13.80/3.01 % (875439)Peak memory usage: 91 MB
% 13.80/3.01 % (875439)Instructions burned: 16 (million)
% 13.80/3.01 % (875441)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1759583079:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 13.80/3.01 % (875440)Instruction limit reached!
% 13.80/3.01 % (875440)------------------------------
% 13.80/3.01 % (875440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/3.01 % (875440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/3.01 % (875440)CaDiCaL version: 2.1.3
% 13.80/3.01 % (875440)Termination reason: Instruction limit
% 13.80/3.01 % (875440)Termination phase: Saturation
% 13.80/3.01 % (875440)Time elapsed: 0.079 s
% 13.80/3.01 % (875440)Peak memory usage: 92 MB
% 13.80/3.01 % (875440)Instructions burned: 120 (million)
% 13.80/3.01 % (875442)Instruction limit reached!
% 13.80/3.01 % (875442)------------------------------
% 13.80/3.01 % (875442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/3.01 % (875442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/3.01 % (875442)CaDiCaL version: 2.1.3
% 13.80/3.01 % (875442)Termination reason: Instruction limit
% 13.80/3.01 % (875442)Termination phase: Property scanning
% 13.80/3.01 % (875442)Time elapsed: 0.079 s
% 13.80/3.01 % (875442)Peak memory usage: 93 MB
% 13.80/3.01 % (875442)Instructions burned: 129 (million)
% 13.80/3.01 % (875441)Instruction limit reached!
% 13.80/3.01 % (875441)------------------------------
% 13.80/3.01 % (875441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/3.01 % (875441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/3.01 % (875441)CaDiCaL version: 2.1.3
% 13.80/3.01 % (875441)Termination reason: Instruction limit
% 13.80/3.01 % (875441)Termination phase: Clausification
% 13.80/3.01 % (875441)Time elapsed: 0.088 s
% 13.80/3.01 % (875441)Peak memory usage: 94 MB
% 13.80/3.01 % (875441)Instructions burned: 139 (million)
% 13.80/3.01 % (875451)lrs+10_1_sil=32000:urr=on:br=off:random_seed=869229206:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.80/3.01 % (875450)lrs+10_1_sil=8000:sp=occurrence:random_seed=3172269930:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.80/3.01 % (875452)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1027506536:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.80/3.01 % (875439)------------------------------
% 13.80/3.01 % (875439)------------------------------
% 13.80/3.01 % (875451)Instruction limit reached!
% 13.80/3.01 % (875451)------------------------------
% 13.80/3.01 % (875451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/3.01 % (875451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.98 % (875451)CaDiCaL version: 2.1.3
% 20.68/3.98 % (875451)Termination reason: Instruction limit
% 20.68/3.98 % (875451)Termination phase: Saturation
% 20.68/3.98 % (875451)Time elapsed: 0.080 s
% 20.68/3.98 % (875451)Peak memory usage: 92 MB
% 20.68/3.98 % (875451)Instructions burned: 157 (million)
% 20.68/3.98 % (875456)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=4010185629:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 20.68/3.98 % (875450)Instruction limit reached!
% 20.68/3.98 % (875450)------------------------------
% 20.68/3.98 % (875450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.98 % (875450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.98 % (875450)CaDiCaL version: 2.1.3
% 20.68/3.98 % (875450)Termination reason: Instruction limit
% 20.68/3.98 % (875450)Termination phase: Saturation
% 20.68/3.98 % (875450)Time elapsed: 0.179 s
% 20.68/3.98 % (875450)Peak memory usage: 95 MB
% 20.68/3.98 % (875450)Instructions burned: 285 (million)
% 20.68/3.98 % (875457)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1122105446:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.68/3.98 % (875452)Instruction limit reached!
% 20.68/3.98 % (875452)------------------------------
% 20.68/3.98 % (875452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.98 % (875452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.98 % (875452)CaDiCaL version: 2.1.3
% 20.68/3.98 % (875452)Termination reason: Instruction limit
% 20.68/3.98 % (875452)Termination phase: Saturation
% 20.68/3.98 % (875452)Time elapsed: 0.204 s
% 20.68/3.98 % (875452)Peak memory usage: 95 MB
% 20.68/3.98 % (875452)Instructions burned: 326 (million)
% 20.68/3.98 % (875459)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3601631729:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.68/3.98 % (875456)Instruction limit reached!
% 20.68/3.98 % (875456)------------------------------
% 20.68/3.98 % (875456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.98 % (875456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.98 % (875456)CaDiCaL version: 2.1.3
% 20.68/3.98 % (875456)Termination reason: Instruction limit
% 20.68/3.98 % (875456)Termination phase: Saturation
% 20.68/3.98 % (875456)Time elapsed: 0.141 s
% 20.68/3.98 % (875456)Peak memory usage: 97 MB
% 20.68/3.98 % (875456)Instructions burned: 248 (million)
% 20.68/3.98 % (875457)Instruction limit reached!
% 20.68/3.98 % (875457)------------------------------
% 20.68/3.98 % (875457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.98 % (875457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.98 % (875457)CaDiCaL version: 2.1.3
% 20.68/3.98 % (875457)Termination reason: Instruction limit
% 20.68/3.98 % (875457)Termination phase: Saturation
% 20.68/3.98 % (875457)Time elapsed: 0.167 s
% 20.68/3.98 % (875457)Peak memory usage: 94 MB
% 20.68/3.98 % (875457)Instructions burned: 295 (million)
% 20.68/3.98 % (875461)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=909119710:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.68/3.98 % (875461)Instruction limit reached!
% 20.68/3.98 % (875461)------------------------------
% 20.68/3.98 % (875461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.98 % (875461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.98 % (875461)CaDiCaL version: 2.1.3
% 20.68/3.98 % (875461)Termination reason: Instruction limit
% 20.68/3.98 % (875461)Termination phase: Saturation
% 20.68/3.98 % (875461)Time elapsed: 0.065 s
% 20.68/3.98 % (875461)Peak memory usage: 93 MB
% 20.68/3.98 % (875461)Instructions burned: 113 (million)
% 20.68/3.98 % (875463)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=446605624:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.68/3.98 % (875465)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=631011592:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 20.68/3.98 % (875463)Instruction limit reached!
% 20.68/3.98 % (875463)------------------------------
% 20.68/3.98 % (875463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.98 % (875463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875463)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875463)Termination reason: Instruction limit
% 44.63/7.26 % (875463)Termination phase: Property scanning
% 44.63/7.26 % (875463)Time elapsed: 0.078 s
% 44.63/7.26 % (875463)Peak memory usage: 94 MB
% 44.63/7.26 % (875463)Instructions burned: 128 (million)
% 44.63/7.26 % (875465)Instruction limit reached!
% 44.63/7.26 % (875465)------------------------------
% 44.63/7.26 % (875465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875465)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875465)Termination reason: Instruction limit
% 44.63/7.26 % (875465)Termination phase: Property scanning
% 44.63/7.26 % (875465)Time elapsed: 0.058 s
% 44.63/7.26 % (875465)Peak memory usage: 91 MB
% 44.63/7.26 % (875465)Instructions burned: 114 (million)
% 44.63/7.26 % (875466)lrs+10_1_sil=8000:sp=occurrence:random_seed=638575346:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 44.63/7.26 % (875469)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3870902318:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 44.63/7.26 % (875470)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1773432563:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 44.63/7.26 % (875469)Instruction limit reached!
% 44.63/7.26 % (875469)------------------------------
% 44.63/7.26 % (875469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875469)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875469)Termination reason: Instruction limit
% 44.63/7.26 % (875469)Termination phase: Saturation
% 44.63/7.26 % (875469)Time elapsed: 0.248 s
% 44.63/7.26 % (875469)Peak memory usage: 95 MB
% 44.63/7.26 % (875469)Instructions burned: 438 (million)
% 44.63/7.26 % (875474)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=371746325:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 44.63/7.26 % (875474)Instruction limit reached!
% 44.63/7.26 % (875474)------------------------------
% 44.63/7.26 % (875474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875474)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875474)Termination reason: Instruction limit
% 44.63/7.26 % (875474)Termination phase: Saturation
% 44.63/7.26 % (875474)Time elapsed: 0.081 s
% 44.63/7.26 % (875474)Peak memory usage: 94 MB
% 44.63/7.26 % (875474)Instructions burned: 135 (million)
% 44.63/7.26 % (875466)Instruction limit reached!
% 44.63/7.26 % (875466)------------------------------
% 44.63/7.26 % (875466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875466)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875466)Termination reason: Instruction limit
% 44.63/7.26 % (875466)Termination phase: Saturation
% 44.63/7.26 % (875466)Time elapsed: 0.591 s
% 44.63/7.26 % (875466)Peak memory usage: 103 MB
% 44.63/7.26 % (875466)Instructions burned: 908 (million)
% 44.63/7.26 % (875476)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2405058467:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 44.63/7.26 % (875477)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2518061846:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 44.63/7.26 % (875476)Instruction limit reached!
% 44.63/7.26 % (875476)------------------------------
% 44.63/7.26 % (875476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875476)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875476)Termination reason: Instruction limit
% 44.63/7.26 % (875476)Termination phase: Saturation
% 44.63/7.26 % (875476)Time elapsed: 0.292 s
% 44.63/7.26 % (875476)Peak memory usage: 102 MB
% 44.63/7.26 % (875476)Instructions burned: 593 (million)
% 44.63/7.26 % (875480)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=4045555654:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 44.63/7.26 % (875459)Instruction limit reached!
% 44.63/7.26 % (875459)------------------------------
% 44.63/7.26 % (875459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875459)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875459)Termination reason: Instruction limit
% 44.63/7.26 % (875459)Termination phase: Saturation
% 44.63/7.26 % (875459)Time elapsed: 1.379 s
% 44.63/7.26 % (875459)Peak memory usage: 179 MB
% 44.63/7.26 % (875459)Instructions burned: 2352 (million)
% 44.63/7.26 % (875480)Instruction limit reached!
% 44.63/7.26 % (875480)------------------------------
% 44.63/7.26 % (875480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875480)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875480)Termination reason: Instruction limit
% 44.63/7.26 % (875480)Termination phase: Saturation
% 44.63/7.26 % (875480)Time elapsed: 0.068 s
% 44.63/7.26 % (875480)Peak memory usage: 93 MB
% 44.63/7.26 % (875480)Instructions burned: 126 (million)
% 44.63/7.26 % (875482)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=804844226:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 44.63/7.26 % (875483)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3664700506:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 44.63/7.26 % (875482)Instruction limit reached!
% 44.63/7.26 % (875482)------------------------------
% 44.63/7.26 % (875482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875482)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875482)Termination reason: Instruction limit
% 44.63/7.26 % (875482)Termination phase: Preprocessing 3
% 44.63/7.26 % (875482)Time elapsed: 0.074 s
% 44.63/7.26 % (875482)Peak memory usage: 92 MB
% 44.63/7.26 % (875482)Instructions burned: 134 (million)
% 44.63/7.26 % (875483)Instruction limit reached!
% 44.63/7.26 % (875483)------------------------------
% 44.63/7.26 % (875483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875483)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875483)Termination reason: Instruction limit
% 44.63/7.26 % (875483)Termination phase: Saturation
% 44.63/7.26 % (875483)Time elapsed: 0.082 s
% 44.63/7.26 % (875483)Peak memory usage: 94 MB
% 44.63/7.26 % (875483)Instructions burned: 142 (million)
% 44.63/7.26 % (875486)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3666470537:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 44.63/7.26 % (875487)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=702866598:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 44.63/7.26 % (875486)Instruction limit reached!
% 44.63/7.26 % (875486)------------------------------
% 44.63/7.26 % (875486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875486)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875486)Termination reason: Instruction limit
% 44.63/7.26 % (875486)Termination phase: Saturation
% 44.63/7.26 % (875486)Time elapsed: 0.253 s
% 44.63/7.26 % (875486)Peak memory usage: 98 MB
% 44.63/7.26 % (875486)Instructions burned: 432 (million)
% 44.63/7.26 % (875490)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=431707770:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 44.63/7.26 % (875490)Instruction limit reached!
% 44.63/7.26 % (875490)------------------------------
% 44.63/7.26 % (875490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875490)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875490)Termination reason: Instruction limit
% 44.63/7.26 % (875490)Termination phase: Property scanning
% 44.63/7.26 % (875490)Time elapsed: 0.085 s
% 44.63/7.26 % (875490)Peak memory usage: 94 MB
% 44.63/7.26 % (875490)Instructions burned: 151 (million)
% 44.63/7.26 % (875492)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=329605464:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 44.63/7.26 % (875470)Instruction limit reached!
% 44.63/7.26 % (875470)------------------------------
% 44.63/7.26 % (875470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875470)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875470)Termination reason: Instruction limit
% 44.63/7.26 % (875470)Termination phase: Saturation
% 44.63/7.26 % (875470)Time elapsed: 3.032 s
% 44.63/7.26 % (875470)Peak memory usage: 196 MB
% 44.63/7.26 % (875470)Instructions burned: 5203 (million)
% 44.63/7.26 % (875494)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3303087897:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 44.63/7.26 % (875494)Instruction limit reached!
% 44.63/7.26 % (875494)------------------------------
% 44.63/7.26 % (875494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875494)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875494)Termination reason: Instruction limit
% 44.63/7.26 % (875494)Termination phase: Saturation
% 44.63/7.26 % (875494)Time elapsed: 0.288 s
% 44.63/7.26 % (875494)Peak memory usage: 101 MB
% 44.63/7.26 % (875494)Instructions burned: 669 (million)
% 44.63/7.26 % (875496)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=3283569132:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 44.63/7.26 % (875496)Instruction limit reached!
% 44.63/7.26 % (875496)------------------------------
% 44.63/7.26 % (875496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875496)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875496)Termination reason: Instruction limit
% 44.63/7.26 % (875496)Termination phase: Property scanning
% 44.63/7.26 % (875496)Time elapsed: 0.106 s
% 44.63/7.26 % (875496)Peak memory usage: 94 MB
% 44.63/7.26 % (875496)Instructions burned: 185 (million)
% 44.63/7.26 % (875498)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4161781934:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 44.63/7.26 % (875498)Instruction limit reached!
% 44.63/7.26 % (875498)------------------------------
% 44.63/7.26 % (875498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875498)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875498)Termination reason: Instruction limit
% 44.63/7.26 % (875498)Termination phase: Saturation
% 44.63/7.26 % (875498)Time elapsed: 0.125 s
% 44.63/7.26 % (875498)Peak memory usage: 94 MB
% 44.63/7.26 % (875498)Instructions burned: 193 (million)
% 44.63/7.26 % (875500)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2465769874:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 44.63/7.26 % (875436)First to succeed.
% 44.63/7.26 % (875436)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-875431"
% 44.63/7.26 % (875487)Instruction limit reached!
% 44.63/7.26 % (875487)------------------------------
% 44.63/7.26 % (875487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.63/7.26 % (875487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/7.26 % (875487)CaDiCaL version: 2.1.3
% 44.63/7.26 % (875487)Termination reason: Instruction limit
% 44.63/7.26 % (875487)Termination phase: Saturation
% 44.63/7.26 % (875487)Time elapsed: 3.667 s
% 44.63/7.26 % (875487)Peak memory usage: 214 MB
% 44.63/7.26 % (875487)Instructions burned: 6060 (million)
% 44.63/7.26 % (875502)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3654485054:i=12111:sd=1:ss=included_2937 on theBenchmark for (2937ds/12111Mi)
% 44.63/7.26 % (875436)Refutation found. Thanks to Tanya!
% 44.63/7.26 % SZS status Theorem for theBenchmark
% 44.63/7.26 % SZS output start Proof for theBenchmark
% See solution above
% 45.32/7.45 % (875436)------------------------------
% 45.32/7.45 % (875436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.32/7.45 % (875436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.32/7.45 % (875436)CaDiCaL version: 2.1.3
% 45.32/7.45 % (875436)Termination reason: Refutation
% 45.32/7.45 % (875436)Time elapsed: 6.013 s
% 45.32/7.45 % (875436)Peak memory usage: 287 MB
% 45.32/7.45 % (875436)Instructions burned: 17836 (million)
% 45.32/7.45 % (875436)------------------------------
% 45.32/7.45 % (875436)------------------------------
% 45.32/7.45 % (875431)Success in time 6.411 s
% 45.32/7.45 % Vampire exiting
%------------------------------------------------------------------------------