%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT328+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:59 AM UTC 2026
% Result : Theorem 31.74s 5.46s
% Output : Refutation 32.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 43
% Syntax : Number of formulae : 345 ( 36 unt; 13 def)
% Number of atoms : 1606 ( 101 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 2099 ( 838 ~; 985 |; 193 &)
% ( 33 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 13 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 2 con; 0-3 aty)
% Number of variables : 378 ( 0 sgn 369 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = k2_tarski(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f581,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f583,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f584,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f1867,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f1868,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f2318,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f2377,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_lattices(X0,X1,X2)
& r1_lattices(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
fof(f2410,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f2416,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f2426,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f2455,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f2459,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_filter_0) ).
fof(f2460,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_filter_0) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2569,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2857,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f2877,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f2912,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f2955,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_filter_2) ).
fof(f2957,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_filter_2) ).
fof(f2999,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f3000,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
fof(f3001,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_filter_2) ).
fof(f3002,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
inference(negated_conjecture,[status(cth)],[f3001]) ).
fof(f3026,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f3002]) ).
fof(f3027,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3026]) ).
fof(f3029,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f584]) ).
fof(f3030,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f3029]) ).
fof(f3033,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f581]) ).
fof(f3065,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2877]) ).
fof(f3066,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f3065]) ).
fof(f3083,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f1868]) ).
fof(f3084,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f3083]) ).
fof(f3085,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f1867]) ).
fof(f3086,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f3085]) ).
fof(f3087,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3000]) ).
fof(f3088,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3087]) ).
fof(f3089,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2999]) ).
fof(f3090,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3089]) ).
fof(f3091,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2912]) ).
fof(f3092,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f3091]) ).
fof(f3100,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f3397,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f2426]) ).
fof(f3398,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f3397]) ).
fof(f3409,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2957]) ).
fof(f3410,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3409]) ).
fof(f3413,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2955]) ).
fof(f3414,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3413]) ).
fof(f3525,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2460]) ).
fof(f3526,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3525]) ).
fof(f3527,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2459]) ).
fof(f3528,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3527]) ).
fof(f3533,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(f3534,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,[],[f3533]) ).
fof(f3535,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2455]) ).
fof(f3536,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3535]) ).
fof(f3649,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2857]) ).
fof(f3650,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3649]) ).
fof(f4045,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(f4046,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,[],[f4045]) ).
fof(f4063,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f4070,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2569]) ).
fof(f4071,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f4070]) ).
fof(f4072,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(f4073,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f4072]) ).
fof(f4168,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2410]) ).
fof(f4169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f2377]) ).
fof(f4170,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f4169]) ).
fof(f4197,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2318]) ).
fof(f4198,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f4197]) ).
fof(f4209,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2416]) ).
fof(f4210,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f4209]) ).
fof(f4627,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f4628,plain,
! [X0] :
( sP8(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f4071,f4627]) ).
fof(f4651,plain,
( ~ r1_filter_2(u1_struct_0(sK21),k22_filter_2(sK21,sK22,sK22),k6_domain_1(u1_struct_0(sK21),sK22))
& m1_subset_1(sK22,u1_struct_0(sK21))
& ~ v3_struct_0(sK21)
& v10_lattices(sK21)
& l3_lattices(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f3027]) ).
fof(f4652,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f583]) ).
fof(f4673,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f3066]) ).
fof(f4674,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3090]) ).
fof(f4675,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f4674]) ).
fof(f4683,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f3100]) ).
fof(f4684,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f4683]) ).
fof(f4685,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK37(X0,X1),X1)
& r2_hidden(sK37(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X2,sK37(X0,X1))],[f4684]) ).
fof(f4706,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(f4707,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,[],[f4706]) ).
fof(f4760,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2) )
& ( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3414]) ).
fof(f4799,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k2_filter_0(X0,X2))
| ~ r3_lattices(X0,X2,X1) )
& ( r3_lattices(X0,X2,X1)
| ~ r2_hidden(X1,k2_filter_0(X0,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3528]) ).
fof(f5040,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f4627]) ).
fof(f5092,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(nnf_transformation,[],[f4210]) ).
fof(f5205,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ r2_hidden(X3,X2) )
& ( X3 = X0
| X3 = X1
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ r2_hidden(X3,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5206,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ r2_hidden(X3,X2) )
& ( X3 = X0
| X3 = X1
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ r2_hidden(X3,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(flattening,[],[f5205]) ).
fof(f5207,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ r2_hidden(X3,X2) )
& ( X3 = X0
| X3 = X1
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ r2_hidden(X4,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(rectify,[],[f5206]) ).
fof(f5208,plain,
! [X0,X1,X2] :
( ( X2 = k2_tarski(X0,X1)
| ( ( ( sK353(X0,X1,X2) != X0
& sK353(X0,X1,X2) != X1 )
| ~ r2_hidden(sK353(X0,X1,X2),X2) )
& ( sK353(X0,X1,X2) = X0
| sK353(X0,X1,X2) = X1
| r2_hidden(sK353(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ r2_hidden(X4,X2) ) )
| k2_tarski(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK353]),skolemize(X3,sK353(X0,X1,X2))],[f5207]) ).
fof(f5225,plain,
l3_lattices(sK21),
inference(cnf_transformation,[],[f4651]) ).
fof(f5226,plain,
v10_lattices(sK21),
inference(cnf_transformation,[],[f4651]) ).
fof(f5227,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f4651]) ).
fof(f5228,plain,
m1_subset_1(sK22,u1_struct_0(sK21)),
inference(cnf_transformation,[],[f4651]) ).
fof(f5229,plain,
~ r1_filter_2(u1_struct_0(sK21),k22_filter_2(sK21,sK22,sK22),k6_domain_1(u1_struct_0(sK21),sK22)),
inference(cnf_transformation,[],[f4651]) ).
fof(f5231,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f3030]) ).
fof(f5232,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4652]) ).
fof(f5235,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f3033]) ).
fof(f5282,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4673]) ).
fof(f5291,plain,
! [X0,X1] :
( k1_tarski(X1) = k6_domain_1(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f3084]) ).
fof(f5292,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f3086]) ).
fof(f5293,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3088]) ).
fof(f5295,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4675]) ).
fof(f5296,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4675]) ).
fof(f5298,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3092]) ).
fof(f5299,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3092]) ).
fof(f5315,plain,
! [X0,X1] :
( r2_hidden(sK37(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4685]) ).
fof(f5316,plain,
! [X0,X1] :
( ~ r2_hidden(sK37(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4685]) ).
fof(f5491,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f4707]) ).
fof(f5710,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f3398]) ).
fof(f5720,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X1,k18_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3410]) ).
fof(f5723,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,k18_filter_2(X0,X2))
| r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4760]) ).
fof(f5859,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X1,k2_filter_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3526]) ).
fof(f5860,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,k2_filter_0(X0,X2))
| r3_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4799]) ).
fof(f5865,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,[],[f3534]) ).
fof(f5866,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3536]) ).
fof(f5978,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f6045,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3650]) ).
fof(f6640,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f4046]) ).
fof(f6671,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4063]) ).
fof(f6684,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f5040]) ).
fof(f6693,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP8(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4628]) ).
fof(f6695,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4073]) ).
fof(f6850,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f4168]) ).
fof(f6853,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f4170]) ).
fof(f6931,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4198]) ).
fof(f6932,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4198]) ).
fof(f6934,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4198]) ).
fof(f6936,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4198]) ).
fof(f6954,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f5092]) ).
fof(f7403,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| X1 != X4
| k2_tarski(X0,X1) != X2 ),
inference(cnf_transformation,[],[f5208]) ).
fof(f7466,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f5291,f5978]) ).
fof(f7839,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f5282]) ).
fof(f8042,plain,
! [X2,X0,X4] :
( r2_hidden(X4,X2)
| k2_tarski(X0,X4) != X2 ),
inference(equality_resolution,[],[f7403]) ).
fof(f8043,plain,
! [X0,X4] : r2_hidden(X4,k2_tarski(X0,X4)),
inference(equality_resolution,[],[f8042]) ).
fof(f8102,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f7839]) ).
fof(f8268,plain,
( v3_struct_0(sK21)
| u1_struct_0(sK21) = u1_struct_0(k1_lattice2(sK21)) ),
inference(resolution,[],[f6640,f5225]) ).
fof(f8269,plain,
u1_struct_0(sK21) = u1_struct_0(k1_lattice2(sK21)),
inference(forward_subsumption_resolution,[],[f8268,f5227]) ).
fof(f8270,plain,
( m1_filter_0(u1_struct_0(sK21),k1_lattice2(sK21))
| v3_struct_0(k1_lattice2(sK21))
| ~ v10_lattices(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21)) ),
inference(superposition,[],[f5866,f8269]) ).
fof(f8273,definition,
( spl362_1
<=> l3_lattices(k1_lattice2(sK21)) ),
introduced(definition,[new_symbols(definition,[spl362_1])],[avatar_definition]) ).
fof(f8274,plain,
( l3_lattices(k1_lattice2(sK21))
| ~ spl362_1 ),
inference(avatar_component_clause,[],[f8273]) ).
fof(f8275,plain,
( ~ l3_lattices(k1_lattice2(sK21))
| spl362_1 ),
inference(avatar_component_clause,[],[f8273]) ).
fof(f8277,definition,
( spl362_2
<=> v10_lattices(k1_lattice2(sK21)) ),
introduced(definition,[new_symbols(definition,[spl362_2])],[avatar_definition]) ).
fof(f8278,plain,
( v10_lattices(k1_lattice2(sK21))
| ~ spl362_2 ),
inference(avatar_component_clause,[],[f8277]) ).
fof(f8279,plain,
( ~ v10_lattices(k1_lattice2(sK21))
| spl362_2 ),
inference(avatar_component_clause,[],[f8277]) ).
fof(f8281,definition,
( spl362_3
<=> v3_struct_0(k1_lattice2(sK21)) ),
introduced(definition,[new_symbols(definition,[spl362_3])],[avatar_definition]) ).
fof(f8282,plain,
( ~ v3_struct_0(k1_lattice2(sK21))
| spl362_3 ),
inference(avatar_component_clause,[],[f8281]) ).
fof(f8283,plain,
( v3_struct_0(k1_lattice2(sK21))
| ~ spl362_3 ),
inference(avatar_component_clause,[],[f8281]) ).
fof(f8289,definition,
( spl362_5
<=> m1_filter_0(u1_struct_0(sK21),k1_lattice2(sK21)) ),
introduced(definition,[new_symbols(definition,[spl362_5])],[avatar_definition]) ).
fof(f8291,plain,
( m1_filter_0(u1_struct_0(sK21),k1_lattice2(sK21))
| ~ spl362_5 ),
inference(avatar_component_clause,[],[f8289]) ).
fof(f8292,plain,
( ~ spl362_1
| ~ spl362_2
| spl362_3
| spl362_5 ),
inference(avatar_split_clause,[],[f8270,f8289,f8281,f8277,f8273]) ).
fof(f8306,plain,
( ~ l3_lattices(sK21)
| spl362_1 ),
inference(resolution,[],[f6671,f8275]) ).
fof(f8308,plain,
( $false
| spl362_1 ),
inference(forward_subsumption_resolution,[],[f8306,f5225]) ).
fof(f8309,plain,
spl362_1,
inference(avatar_contradiction_clause,[],[f8308]) ).
fof(f8317,plain,
( v3_struct_0(sK21)
| ~ l3_lattices(sK21)
| ~ spl362_3 ),
inference(resolution,[],[f8283,f6695]) ).
fof(f8318,plain,
( ~ l3_lattices(sK21)
| ~ spl362_3 ),
inference(forward_subsumption_resolution,[],[f8317,f5227]) ).
fof(f8319,plain,
( $false
| ~ spl362_3 ),
inference(forward_subsumption_resolution,[],[f8318,f5225]) ).
fof(f8320,plain,
~ spl362_3,
inference(avatar_contradiction_clause,[],[f8319]) ).
fof(f8359,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| r1_filter_2(X0,k6_domain_1(X0,X1),k6_domain_1(X0,X1))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(resolution,[],[f8102,f5292]) ).
fof(f8362,plain,
! [X0,X1] :
( r1_filter_2(X0,k6_domain_1(X0,X1),k6_domain_1(X0,X1))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(duplicate_literal_removal,[],[f8359]) ).
fof(f8370,plain,
( v3_struct_0(sK21)
| sP8(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f6693,f5226]) ).
fof(f8371,plain,
( sP8(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f8370,f5227]) ).
fof(f8372,plain,
sP8(sK21),
inference(forward_subsumption_resolution,[],[f8371,f5225]) ).
fof(f8385,plain,
l2_lattices(sK21),
inference(resolution,[],[f6850,f5225]) ).
fof(f8388,plain,
( ~ sP8(sK21)
| spl362_2 ),
inference(resolution,[],[f6684,f8279]) ).
fof(f8399,plain,
( $false
| spl362_2 ),
inference(forward_subsumption_resolution,[],[f8388,f8372]) ).
fof(f8400,plain,
spl362_2,
inference(avatar_contradiction_clause,[],[f8399]) ).
fof(f8486,plain,
( ~ v1_xboole_0(u1_struct_0(sK21))
| v3_struct_0(k1_lattice2(sK21))
| ~ v10_lattices(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21))
| ~ spl362_5 ),
inference(resolution,[],[f5865,f8291]) ).
fof(f8489,plain,
( ~ v1_xboole_0(u1_struct_0(sK21))
| ~ v10_lattices(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21))
| spl362_3
| ~ spl362_5 ),
inference(forward_subsumption_resolution,[],[f8486,f8282]) ).
fof(f8490,plain,
( ~ v1_xboole_0(u1_struct_0(sK21))
| ~ l3_lattices(k1_lattice2(sK21))
| ~ spl362_2
| spl362_3
| ~ spl362_5 ),
inference(forward_subsumption_resolution,[],[f8489,f8278]) ).
fof(f8491,plain,
( ~ v1_xboole_0(u1_struct_0(sK21))
| ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5 ),
inference(forward_subsumption_resolution,[],[f8490,f8274]) ).
fof(f8521,plain,
! [X0] :
( r2_hidden(X0,k2_filter_0(sK21,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f5859,f5228]) ).
fof(f8524,plain,
! [X0] :
( r2_hidden(X0,k2_filter_0(sK21,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f8521,f5227]) ).
fof(f8526,plain,
! [X0] :
( r2_hidden(X0,k2_filter_0(sK21,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f8524,f5226]) ).
fof(f8528,plain,
! [X0] :
( r2_hidden(X0,k2_filter_0(sK21,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK21)) ),
inference(forward_subsumption_resolution,[],[f8526,f5225]) ).
fof(f8536,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| r3_lattices(sK21,X0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f8528,f5860]) ).
fof(f8537,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| r3_lattices(sK21,X0,X0)
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(duplicate_literal_removal,[],[f8536]) ).
fof(f8538,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| r3_lattices(sK21,X0,X0)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f8537,f5227]) ).
fof(f8539,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| r3_lattices(sK21,X0,X0)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f8538,f5226]) ).
fof(f8540,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| r3_lattices(sK21,X0,X0) ),
inference(forward_subsumption_resolution,[],[f8539,f5225]) ).
fof(f8732,plain,
( v1_xboole_0(u1_struct_0(sK21))
| k6_domain_1(u1_struct_0(sK21),sK22) = k2_tarski(sK22,sK22) ),
inference(resolution,[],[f7466,f5228]) ).
fof(f8739,plain,
( k6_domain_1(u1_struct_0(sK21),sK22) = k2_tarski(sK22,sK22)
| ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5 ),
inference(forward_subsumption_resolution,[],[f8732,f8491]) ).
fof(f8743,plain,
( r1_filter_2(u1_struct_0(sK21),k2_tarski(sK22,sK22),k2_tarski(sK22,sK22))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5 ),
inference(superposition,[],[f8362,f8739]) ).
fof(f8746,plain,
( r1_filter_2(u1_struct_0(sK21),k2_tarski(sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5 ),
inference(forward_subsumption_resolution,[],[f8743,f8491]) ).
fof(f8750,plain,
( r1_filter_2(u1_struct_0(sK21),k2_tarski(sK22,sK22),k2_tarski(sK22,sK22))
| ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5 ),
inference(forward_subsumption_resolution,[],[f8746,f5228]) ).
fof(f8862,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k22_filter_2(X1,X2,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f5235,f5293]) ).
fof(f8878,plain,
r3_lattices(sK21,sK22,sK22),
inference(resolution,[],[f8540,f5228]) ).
fof(f8893,plain,
! [X2,X0,X1] :
( ~ m2_lattice4(X1,X2)
| m1_subset_1(X0,u1_struct_0(X2))
| ~ r2_hidden(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f5231,f6045]) ).
fof(f8909,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(resolution,[],[f8893,f5298]) ).
fof(f8912,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(duplicate_literal_removal,[],[f8909]) ).
fof(f8920,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(sK37(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| r3_lattices(X0,X1,sK37(k22_filter_2(X0,X1,X2),X3))
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f5315,f5296]) ).
fof(f8921,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(sK37(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| r3_lattices(X0,sK37(k22_filter_2(X0,X1,X2),X3),X2)
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f5315,f5295]) ).
fof(f9405,definition,
( spl362_60
<=> r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)) ),
introduced(definition,[new_symbols(definition,[spl362_60])],[avatar_definition]) ).
fof(f9407,plain,
( ~ r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_60 ),
inference(avatar_component_clause,[],[f9405]) ).
fof(f9450,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(k22_filter_2(X0,X1,X2))
| k2_tarski(X2,X2) = k6_domain_1(k22_filter_2(X0,X1,X2),X2) ),
inference(resolution,[],[f8862,f7466]) ).
fof(f9451,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k2_tarski(X2,X2) = k6_domain_1(k22_filter_2(X0,X1,X2),X2) ),
inference(forward_subsumption_resolution,[],[f9450,f5299]) ).
fof(f9551,plain,
! [X0,X1] :
( r1_tarski(k6_domain_1(X0,X1),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(resolution,[],[f5232,f5292]) ).
fof(f9905,plain,
( v3_struct_0(sK21)
| v8_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f6932,f5226]) ).
fof(f9914,plain,
( v8_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9905,f5227]) ).
fof(f9918,plain,
v8_lattices(sK21),
inference(forward_subsumption_resolution,[],[f9914,f5225]) ).
fof(f9994,definition,
( spl362_75
<=> v9_lattices(sK21) ),
introduced(definition,[new_symbols(definition,[spl362_75])],[avatar_definition]) ).
fof(f9995,plain,
( v9_lattices(sK21)
| ~ spl362_75 ),
inference(avatar_component_clause,[],[f9994]) ).
fof(f9996,plain,
( ~ v9_lattices(sK21)
| spl362_75 ),
inference(avatar_component_clause,[],[f9994]) ).
fof(f9998,definition,
( spl362_76
<=> v6_lattices(sK21) ),
introduced(definition,[new_symbols(definition,[spl362_76])],[avatar_definition]) ).
fof(f9999,plain,
( v6_lattices(sK21)
| ~ spl362_76 ),
inference(avatar_component_clause,[],[f9998]) ).
fof(f10000,plain,
( ~ v6_lattices(sK21)
| spl362_76 ),
inference(avatar_component_clause,[],[f9998]) ).
fof(f10012,plain,
( v3_struct_0(sK21)
| v4_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f6936,f5226]) ).
fof(f10023,plain,
( v4_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f10012,f5227]) ).
fof(f10028,plain,
v4_lattices(sK21),
inference(forward_subsumption_resolution,[],[f10023,f5225]) ).
fof(f10248,plain,
( v3_struct_0(sK21)
| v9_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f6931,f5226]) ).
fof(f10259,plain,
( v9_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f10248,f5227]) ).
fof(f10264,plain,
( ~ l3_lattices(sK21)
| spl362_75 ),
inference(forward_subsumption_resolution,[],[f10259,f9996]) ).
fof(f10267,plain,
( $false
| spl362_75 ),
inference(forward_subsumption_resolution,[],[f10264,f5225]) ).
fof(f10268,plain,
spl362_75,
inference(avatar_contradiction_clause,[],[f10267]) ).
fof(f10471,plain,
( ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| k2_tarski(sK22,sK22) = k6_domain_1(k22_filter_2(sK21,sK22,sK22),sK22) ),
inference(resolution,[],[f9451,f8878]) ).
fof(f10474,plain,
( ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| k2_tarski(sK22,sK22) = k6_domain_1(k22_filter_2(sK21,sK22,sK22),sK22) ),
inference(duplicate_literal_removal,[],[f10471]) ).
fof(f10478,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| k2_tarski(sK22,sK22) = k6_domain_1(k22_filter_2(sK21,sK22,sK22),sK22) ),
inference(forward_subsumption_resolution,[],[f10474,f5228]) ).
fof(f10483,plain,
( ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| k2_tarski(sK22,sK22) = k6_domain_1(k22_filter_2(sK21,sK22,sK22),sK22) ),
inference(forward_subsumption_resolution,[],[f10478,f5227]) ).
fof(f10488,plain,
( ~ l3_lattices(sK21)
| k2_tarski(sK22,sK22) = k6_domain_1(k22_filter_2(sK21,sK22,sK22),sK22) ),
inference(forward_subsumption_resolution,[],[f10483,f5226]) ).
fof(f10492,plain,
k2_tarski(sK22,sK22) = k6_domain_1(k22_filter_2(sK21,sK22,sK22),sK22),
inference(forward_subsumption_resolution,[],[f10488,f5225]) ).
fof(f10502,plain,
( r1_tarski(k2_tarski(sK22,sK22),k22_filter_2(sK21,sK22,sK22))
| v1_xboole_0(k22_filter_2(sK21,sK22,sK22))
| ~ m1_subset_1(sK22,k22_filter_2(sK21,sK22,sK22)) ),
inference(superposition,[],[f9551,f10492]) ).
fof(f10506,definition,
( spl362_84
<=> m1_subset_1(sK22,k22_filter_2(sK21,sK22,sK22)) ),
introduced(definition,[new_symbols(definition,[spl362_84])],[avatar_definition]) ).
fof(f10508,plain,
( ~ m1_subset_1(sK22,k22_filter_2(sK21,sK22,sK22))
| spl362_84 ),
inference(avatar_component_clause,[],[f10506]) ).
fof(f10510,definition,
( spl362_85
<=> v1_xboole_0(k22_filter_2(sK21,sK22,sK22)) ),
introduced(definition,[new_symbols(definition,[spl362_85])],[avatar_definition]) ).
fof(f10512,plain,
( v1_xboole_0(k22_filter_2(sK21,sK22,sK22))
| ~ spl362_85 ),
inference(avatar_component_clause,[],[f10510]) ).
fof(f10524,definition,
( spl362_88
<=> r1_tarski(k2_tarski(sK22,sK22),k22_filter_2(sK21,sK22,sK22)) ),
introduced(definition,[new_symbols(definition,[spl362_88])],[avatar_definition]) ).
fof(f10526,plain,
( r1_tarski(k2_tarski(sK22,sK22),k22_filter_2(sK21,sK22,sK22))
| ~ spl362_88 ),
inference(avatar_component_clause,[],[f10524]) ).
fof(f10527,plain,
( ~ spl362_84
| spl362_85
| spl362_88 ),
inference(avatar_split_clause,[],[f10502,f10524,f10510,f10506]) ).
fof(f10528,plain,
( ~ r3_lattices(sK21,sK22,sK22)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_84 ),
inference(resolution,[],[f10508,f8862]) ).
fof(f10533,plain,
( ~ r3_lattices(sK21,sK22,sK22)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_84 ),
inference(duplicate_literal_removal,[],[f10528]) ).
fof(f10536,plain,
( ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_84 ),
inference(forward_subsumption_resolution,[],[f10533,f8540]) ).
fof(f10539,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_84 ),
inference(forward_subsumption_resolution,[],[f10536,f5228]) ).
fof(f10542,plain,
( ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_84 ),
inference(forward_subsumption_resolution,[],[f10539,f5227]) ).
fof(f10545,plain,
( ~ l3_lattices(sK21)
| spl362_84 ),
inference(forward_subsumption_resolution,[],[f10542,f5226]) ).
fof(f10550,plain,
( $false
| spl362_84 ),
inference(forward_subsumption_resolution,[],[f10545,f5225]) ).
fof(f10551,plain,
spl362_84,
inference(avatar_contradiction_clause,[],[f10550]) ).
fof(f10554,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ spl362_85 ),
inference(resolution,[],[f10512,f5299]) ).
fof(f10555,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ spl362_85 ),
inference(duplicate_literal_removal,[],[f10554]) ).
fof(f10556,plain,
( ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ spl362_85 ),
inference(forward_subsumption_resolution,[],[f10555,f5227]) ).
fof(f10557,plain,
( ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ spl362_85 ),
inference(forward_subsumption_resolution,[],[f10556,f5226]) ).
fof(f10558,plain,
( ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ spl362_85 ),
inference(forward_subsumption_resolution,[],[f10557,f5225]) ).
fof(f10559,plain,
( $false
| ~ spl362_85 ),
inference(forward_subsumption_resolution,[],[f10558,f5228]) ).
fof(f10560,plain,
~ spl362_85,
inference(avatar_contradiction_clause,[],[f10559]) ).
fof(f10571,plain,
( ~ r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| k22_filter_2(sK21,sK22,sK22) = k2_tarski(sK22,sK22)
| ~ spl362_88 ),
inference(resolution,[],[f10526,f5491]) ).
fof(f10574,definition,
( spl362_89
<=> k22_filter_2(sK21,sK22,sK22) = k2_tarski(sK22,sK22) ),
introduced(definition,[new_symbols(definition,[spl362_89])],[avatar_definition]) ).
fof(f10576,plain,
( k22_filter_2(sK21,sK22,sK22) = k2_tarski(sK22,sK22)
| ~ spl362_89 ),
inference(avatar_component_clause,[],[f10574]) ).
fof(f10577,plain,
( spl362_89
| ~ spl362_60
| ~ spl362_88 ),
inference(avatar_split_clause,[],[f10571,f10524,f9405,f10574]) ).
fof(f11157,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l2_lattices(X0)
| r2_hidden(X1,k18_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f5710,f5720]) ).
fof(f11182,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l2_lattices(X0)
| r2_hidden(X1,k18_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f11157]) ).
fof(f11205,plain,
! [X0,X1] :
( r2_hidden(X1,k18_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f11182,f6850]) ).
fof(f11785,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK37(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3) ),
inference(resolution,[],[f8912,f5315]) ).
fof(f12117,plain,
( v3_struct_0(sK21)
| v6_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f6934,f5226]) ).
fof(f12128,plain,
( v6_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f12117,f5227]) ).
fof(f12133,plain,
( ~ l3_lattices(sK21)
| spl362_76 ),
inference(forward_subsumption_resolution,[],[f12128,f10000]) ).
fof(f12136,plain,
( $false
| spl362_76 ),
inference(forward_subsumption_resolution,[],[f12133,f5225]) ).
fof(f12137,plain,
spl362_76,
inference(avatar_contradiction_clause,[],[f12136]) ).
fof(f15083,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f11205,f5723]) ).
fof(f15093,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| r3_lattices(X0,X1,X1) ),
inference(duplicate_literal_removal,[],[f15083]) ).
fof(f16736,definition,
( spl362_379
<=> m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21)) ),
introduced(definition,[new_symbols(definition,[spl362_379])],[avatar_definition]) ).
fof(f16737,plain,
( m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ spl362_379 ),
inference(avatar_component_clause,[],[f16736]) ).
fof(f16738,plain,
( ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_379 ),
inference(avatar_component_clause,[],[f16736]) ).
fof(f16776,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_379 ),
inference(resolution,[],[f16738,f11785]) ).
fof(f16777,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_379 ),
inference(duplicate_literal_removal,[],[f16776]) ).
fof(f16778,plain,
( ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_379 ),
inference(forward_subsumption_resolution,[],[f16777,f5227]) ).
fof(f16779,plain,
( ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_379 ),
inference(forward_subsumption_resolution,[],[f16778,f5226]) ).
fof(f16780,plain,
( ~ m1_subset_1(sK22,u1_struct_0(sK21))
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_379 ),
inference(forward_subsumption_resolution,[],[f16779,f5225]) ).
fof(f16781,plain,
( r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_379 ),
inference(forward_subsumption_resolution,[],[f16780,f5228]) ).
fof(f16782,plain,
( $false
| spl362_60
| spl362_379 ),
inference(forward_subsumption_resolution,[],[f16781,f9407]) ).
fof(f16783,plain,
( spl362_60
| spl362_379 ),
inference(avatar_contradiction_clause,[],[f16782]) ).
fof(f16801,plain,
( ~ r1_filter_2(u1_struct_0(sK21),k2_tarski(sK22,sK22),k6_domain_1(u1_struct_0(sK21),sK22))
| ~ spl362_89 ),
inference(superposition,[],[f5229,f10576]) ).
fof(f16912,plain,
( ~ r1_filter_2(u1_struct_0(sK21),k2_tarski(sK22,sK22),k2_tarski(sK22,sK22))
| ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5
| ~ spl362_89 ),
inference(forward_demodulation,[],[f16801,f8739]) ).
fof(f16938,plain,
( $false
| ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5
| ~ spl362_89 ),
inference(forward_subsumption_resolution,[],[f16912,f8750]) ).
fof(f16939,plain,
( ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5
| ~ spl362_89 ),
inference(avatar_contradiction_clause,[],[f16938]) ).
fof(f17028,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ r3_lattices(sK21,sK22,sK22)
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl362_379 ),
inference(resolution,[],[f16737,f8920]) ).
fof(f17029,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ r3_lattices(sK21,sK22,sK22)
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl362_379 ),
inference(resolution,[],[f16737,f8921]) ).
fof(f17055,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ r3_lattices(sK21,sK22,sK22)
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl362_379 ),
inference(duplicate_literal_removal,[],[f17029]) ).
fof(f17056,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ r3_lattices(sK21,sK22,sK22)
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl362_379 ),
inference(duplicate_literal_removal,[],[f17028]) ).
fof(f17066,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17055,f15093]) ).
fof(f17067,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17056,f15093]) ).
fof(f17072,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17066,f9407]) ).
fof(f17073,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17067,f9407]) ).
fof(f17078,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17072,f5228]) ).
fof(f17079,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17073,f5228]) ).
fof(f17082,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17078,f5227]) ).
fof(f17083,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17079,f5227]) ).
fof(f17085,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17082,f5226]) ).
fof(f17086,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ l3_lattices(sK21)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17083,f5226]) ).
fof(f17087,plain,
( r3_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17085,f5225]) ).
fof(f17088,plain,
( r3_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17086,f5225]) ).
fof(f17094,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| v3_struct_0(sK21)
| ~ v6_lattices(sK21)
| ~ v8_lattices(sK21)
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| spl362_60
| ~ spl362_379 ),
inference(resolution,[],[f17087,f6954]) ).
fof(f17097,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ v6_lattices(sK21)
| ~ v8_lattices(sK21)
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17094,f5227]) ).
fof(f17101,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ v8_lattices(sK21)
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| spl362_60
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17097,f9999]) ).
fof(f17105,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| spl362_60
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17101,f9918]) ).
fof(f17109,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17105,f9995]) ).
fof(f17113,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17109,f5225]) ).
fof(f17117,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17113,f16737]) ).
fof(f17120,plain,
( r1_lattices(sK21,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),sK22)
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17117,f5228]) ).
fof(f17127,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| v3_struct_0(sK21)
| ~ v6_lattices(sK21)
| ~ v8_lattices(sK21)
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_60
| ~ spl362_379 ),
inference(resolution,[],[f17088,f6954]) ).
fof(f17130,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ v6_lattices(sK21)
| ~ v8_lattices(sK21)
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_60
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17127,f5227]) ).
fof(f17134,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ v8_lattices(sK21)
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_60
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17130,f9999]) ).
fof(f17138,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ v9_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_60
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17134,f9918]) ).
fof(f17142,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ l3_lattices(sK21)
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17138,f9995]) ).
fof(f17146,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17142,f5225]) ).
fof(f17150,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17146,f5228]) ).
fof(f17152,plain,
( r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f17150,f16737]) ).
fof(f19332,plain,
( ~ r1_lattices(sK21,sK22,sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)))
| sK22 = sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v4_lattices(sK21)
| ~ l2_lattices(sK21)
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(resolution,[],[f6853,f17120]) ).
fof(f19348,plain,
( sK22 = sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22)),u1_struct_0(sK21))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v4_lattices(sK21)
| ~ l2_lattices(sK21)
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19332,f17152]) ).
fof(f19357,plain,
( sK22 = sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ m1_subset_1(sK22,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v4_lattices(sK21)
| ~ l2_lattices(sK21)
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19348,f16737]) ).
fof(f19366,plain,
( sK22 = sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| v3_struct_0(sK21)
| ~ v4_lattices(sK21)
| ~ l2_lattices(sK21)
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19357,f5228]) ).
fof(f19376,plain,
( sK22 = sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ v4_lattices(sK21)
| ~ l2_lattices(sK21)
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19366,f5227]) ).
fof(f19383,plain,
( sK22 = sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| ~ l2_lattices(sK21)
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19376,f10028]) ).
fof(f19387,plain,
( sK22 = sK37(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19383,f8385]) ).
fof(f19462,plain,
( ~ r2_hidden(sK22,k2_tarski(sK22,sK22))
| r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(superposition,[],[f5316,f19387]) ).
fof(f19477,plain,
( r1_tarski(k22_filter_2(sK21,sK22,sK22),k2_tarski(sK22,sK22))
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19462,f8043]) ).
fof(f19480,plain,
( $false
| spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(forward_subsumption_resolution,[],[f19477,f9407]) ).
fof(f19481,plain,
( spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(avatar_contradiction_clause,[],[f19480]) ).
cnf(s2,plain,
( ~ spl362_1
| ~ spl362_2
| spl362_3
| spl362_5 ),
inference(sat_conversion,[],[f8292]) ).
cnf(s3,plain,
spl362_1,
inference(sat_conversion,[],[f8309]) ).
cnf(s5,plain,
~ spl362_3,
inference(sat_conversion,[],[f8320]) ).
cnf(s7,plain,
spl362_2,
inference(sat_conversion,[],[f8400]) ).
cnf(s58,plain,
spl362_75,
inference(sat_conversion,[],[f10268]) ).
cnf(s62,plain,
( ~ spl362_84
| spl362_85
| spl362_88 ),
inference(sat_conversion,[],[f10527]) ).
cnf(s65,plain,
spl362_84,
inference(sat_conversion,[],[f10551]) ).
cnf(s66,plain,
~ spl362_85,
inference(sat_conversion,[],[f10560]) ).
cnf(s67,plain,
( ~ spl362_60
| ~ spl362_88
| spl362_89 ),
inference(sat_conversion,[],[f10577]) ).
cnf(s152,plain,
spl362_76,
inference(sat_conversion,[],[f12137]) ).
cnf(s346,plain,
( spl362_60
| spl362_379 ),
inference(sat_conversion,[],[f16783]) ).
cnf(s348,plain,
( ~ spl362_1
| ~ spl362_2
| spl362_3
| ~ spl362_5
| ~ spl362_89 ),
inference(sat_conversion,[],[f16939]) ).
cnf(s435,plain,
( spl362_60
| ~ spl362_75
| ~ spl362_76
| ~ spl362_379 ),
inference(sat_conversion,[],[f19481]) ).
cnf(s531,plain,
spl362_88,
inference(rat,[],[s62,s66,s65]) ).
cnf(s607,plain,
spl362_5,
inference(rat,[],[s2,s5,s7,s3]) ).
cnf(s608,plain,
~ spl362_89,
inference(rat,[],[s348,s3,s5,s7,s607]) ).
cnf(s616,plain,
~ spl362_60,
inference(rat,[],[s67,s531,s608]) ).
cnf(s619,plain,
~ spl362_379,
inference(rat,[],[s435,s58,s152,s616]) ).
cnf(s620,plain,
$false,
inference(rat,[],[s346,s619,s616]) ).
fof(f19482,plain,
$false,
inference(avatar_sat_refutation,[],[s620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT328+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:38:11 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.88/3.02 % (1478372)Detected formulas, will run a generic FOF schedule.
% 12.88/3.02 % (1478378)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=2286115634:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.88/3.02 % (1478381)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3994511246:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.88/3.02 % (1478377)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=53620578:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.88/3.02 % (1478380)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=249199804:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.88/3.02 % (1478382)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2184495709:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.88/3.02 % (1478383)dis-21_1_sil=8000:lcm=predicate:random_seed=1389299024: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)
% 12.88/3.02 % (1478379)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=4162726404:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.88/3.02 % (1478380)Refutation not found, incomplete strategy
% 12.88/3.02 % (1478380)------------------------------
% 12.88/3.02 % (1478380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/3.02 % (1478380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/3.02 % (1478380)CaDiCaL version: 2.1.3
% 12.88/3.02 % (1478380)Termination reason: Refutation not found, incomplete strategy
% 12.88/3.02 % (1478380)Time elapsed: 0.013 s
% 12.88/3.02 % (1478380)Peak memory usage: 92 MB
% 12.88/3.02 % (1478380)Instructions burned: 15 (million)
% 12.88/3.02 % (1478381)Instruction limit reached!
% 12.88/3.02 % (1478381)------------------------------
% 12.88/3.02 % (1478381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/3.02 % (1478381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/3.02 % (1478381)CaDiCaL version: 2.1.3
% 12.88/3.02 % (1478381)Termination reason: Instruction limit
% 12.88/3.02 % (1478381)Termination phase: Saturation
% 12.88/3.02 % (1478381)Time elapsed: 0.075 s
% 12.88/3.02 % (1478381)Peak memory usage: 93 MB
% 12.88/3.02 % (1478381)Instructions burned: 119 (million)
% 12.88/3.02 % (1478383)Instruction limit reached!
% 12.88/3.02 % (1478383)------------------------------
% 12.88/3.02 % (1478383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/3.02 % (1478383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/3.02 % (1478383)CaDiCaL version: 2.1.3
% 12.88/3.02 % (1478383)Termination reason: Instruction limit
% 12.88/3.02 % (1478383)Termination phase: Property scanning
% 12.88/3.02 % (1478383)Time elapsed: 0.078 s
% 12.88/3.02 % (1478383)Peak memory usage: 93 MB
% 12.88/3.02 % (1478383)Instructions burned: 131 (million)
% 12.88/3.02 % (1478382)Instruction limit reached!
% 12.88/3.02 % (1478382)------------------------------
% 12.88/3.02 % (1478382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/3.02 % (1478382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/3.02 % (1478382)CaDiCaL version: 2.1.3
% 12.88/3.02 % (1478382)Termination reason: Instruction limit
% 12.88/3.02 % (1478382)Termination phase: Clausification
% 12.88/3.02 % (1478382)Time elapsed: 0.085 s
% 12.88/3.02 % (1478382)Peak memory usage: 94 MB
% 12.88/3.02 % (1478382)Instructions burned: 139 (million)
% 12.88/3.02 % (1478391)lrs+10_1_sil=8000:sp=occurrence:random_seed=3295834916:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.88/3.02 % (1478392)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2315052496:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.88/3.02 % (1478393)lrs+1011_1_sil=32000:sp=occurrence:random_seed=581865242:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.88/3.02 % (1478392)Refutation not found, incomplete strategy
% 12.88/3.02 % (1478392)------------------------------
% 12.88/3.02 % (1478392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/3.02 % (1478392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/3.87 % (1478392)CaDiCaL version: 2.1.3
% 20.08/3.87 % (1478392)Termination reason: Refutation not found, incomplete strategy
% 20.08/3.87 % (1478392)Time elapsed: 0.028 s
% 20.08/3.87 % (1478392)Peak memory usage: 92 MB
% 20.08/3.87 % (1478392)Instructions burned: 50 (million)
% 20.08/3.87 % (1478380)------------------------------
% 20.08/3.87 % (1478380)------------------------------
% 20.08/3.87 % (1478397)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=4136897413:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 20.08/3.87 % (1478391)Instruction limit reached!
% 20.08/3.87 % (1478391)------------------------------
% 20.08/3.87 % (1478391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/3.87 % (1478391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/3.87 % (1478391)CaDiCaL version: 2.1.3
% 20.08/3.87 % (1478391)Termination reason: Instruction limit
% 20.08/3.87 % (1478391)Termination phase: Saturation
% 20.08/3.87 % (1478391)Time elapsed: 0.186 s
% 20.08/3.87 % (1478391)Peak memory usage: 94 MB
% 20.08/3.87 % (1478391)Instructions burned: 287 (million)
% 20.08/3.87 % (1478393)Instruction limit reached!
% 20.08/3.87 % (1478393)------------------------------
% 20.08/3.87 % (1478393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/3.87 % (1478393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/3.87 % (1478393)CaDiCaL version: 2.1.3
% 20.08/3.87 % (1478393)Termination reason: Instruction limit
% 20.08/3.87 % (1478393)Termination phase: Saturation
% 20.08/3.87 % (1478393)Time elapsed: 0.195 s
% 20.08/3.87 % (1478393)Peak memory usage: 93 MB
% 20.08/3.87 % (1478393)Instructions burned: 326 (million)
% 20.08/3.87 % (1478392)------------------------------
% 20.08/3.87 % (1478392)------------------------------
% 20.08/3.87 % (1478399)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1407878510:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.08/3.87 % (1478397)Instruction limit reached!
% 20.08/3.87 % (1478397)------------------------------
% 20.08/3.87 % (1478397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/3.87 % (1478397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/3.87 % (1478397)CaDiCaL version: 2.1.3
% 20.08/3.87 % (1478397)Termination reason: Instruction limit
% 20.08/3.87 % (1478397)Termination phase: Saturation
% 20.08/3.87 % (1478397)Time elapsed: 0.139 s
% 20.08/3.87 % (1478397)Peak memory usage: 97 MB
% 20.08/3.87 % (1478397)Instructions burned: 248 (million)
% 20.08/3.87 % (1478400)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2987046923:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.08/3.87 % (1478401)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3611920766:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.08/3.87 % (1478403)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=14420921:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.08/3.87 % (1478399)Instruction limit reached!
% 20.08/3.87 % (1478399)------------------------------
% 20.08/3.87 % (1478399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/3.87 % (1478399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/3.87 % (1478399)CaDiCaL version: 2.1.3
% 20.08/3.87 % (1478399)Termination reason: Instruction limit
% 20.08/3.87 % (1478399)Termination phase: Saturation
% 20.08/3.87 % (1478399)Time elapsed: 0.166 s
% 20.08/3.87 % (1478399)Peak memory usage: 95 MB
% 20.08/3.87 % (1478399)Instructions burned: 296 (million)
% 20.08/3.87 % (1478401)Instruction limit reached!
% 20.08/3.87 % (1478401)------------------------------
% 20.08/3.87 % (1478401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/3.87 % (1478401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/3.87 % (1478401)CaDiCaL version: 2.1.3
% 20.08/3.87 % (1478401)Termination reason: Instruction limit
% 20.08/3.87 % (1478401)Termination phase: Saturation
% 20.08/3.87 % (1478401)Time elapsed: 0.065 s
% 20.08/3.87 % (1478401)Peak memory usage: 93 MB
% 20.08/3.87 % (1478401)Instructions burned: 114 (million)
% 20.08/3.87 % (1478403)Instruction limit reached!
% 20.08/3.87 % (1478403)------------------------------
% 20.08/3.87 % (1478403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/3.87 % (1478403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478403)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478403)Termination reason: Instruction limit
% 31.74/5.46 % (1478403)Termination phase: Property scanning
% 31.74/5.46 % (1478403)Time elapsed: 0.074 s
% 31.74/5.46 % (1478403)Peak memory usage: 94 MB
% 31.74/5.46 % (1478403)Instructions burned: 129 (million)
% 31.74/5.46 % (1478407)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2165535600:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 31.74/5.46 % (1478408)lrs+10_1_sil=8000:sp=occurrence:random_seed=1702175019:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 31.74/5.46 % (1478409)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4126517817:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 31.74/5.46 % (1478407)Instruction limit reached!
% 31.74/5.46 % (1478407)------------------------------
% 31.74/5.46 % (1478407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478407)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478407)Termination reason: Instruction limit
% 31.74/5.46 % (1478407)Termination phase: Property scanning
% 31.74/5.46 % (1478407)Time elapsed: 0.058 s
% 31.74/5.46 % (1478407)Peak memory usage: 91 MB
% 31.74/5.46 % (1478407)Instructions burned: 114 (million)
% 31.74/5.46 % (1478413)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3477926986:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 31.74/5.46 % (1478409)Instruction limit reached!
% 31.74/5.46 % (1478409)------------------------------
% 31.74/5.46 % (1478409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478409)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478409)Termination reason: Instruction limit
% 31.74/5.46 % (1478409)Termination phase: Saturation
% 31.74/5.46 % (1478409)Time elapsed: 0.245 s
% 31.74/5.46 % (1478409)Peak memory usage: 95 MB
% 31.74/5.46 % (1478409)Instructions burned: 438 (million)
% 31.74/5.46 % (1478415)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=544525895:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 31.74/5.46 % (1478415)Instruction limit reached!
% 31.74/5.46 % (1478415)------------------------------
% 31.74/5.46 % (1478415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478415)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478415)Termination reason: Instruction limit
% 31.74/5.46 % (1478415)Termination phase: Saturation
% 31.74/5.46 % (1478415)Time elapsed: 0.081 s
% 31.74/5.46 % (1478415)Peak memory usage: 94 MB
% 31.74/5.46 % (1478415)Instructions burned: 135 (million)
% 31.74/5.46 % (1478408)Instruction limit reached!
% 31.74/5.46 % (1478408)------------------------------
% 31.74/5.46 % (1478408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478408)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478408)Termination reason: Instruction limit
% 31.74/5.46 % (1478408)Termination phase: Saturation
% 31.74/5.46 % (1478408)Time elapsed: 0.592 s
% 31.74/5.46 % (1478408)Peak memory usage: 104 MB
% 31.74/5.46 % (1478408)Instructions burned: 909 (million)
% 31.74/5.46 % (1478417)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1963091353:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 31.74/5.46 % (1478418)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=896054320:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 31.74/5.46 % (1478417)Instruction limit reached!
% 31.74/5.46 % (1478417)------------------------------
% 31.74/5.46 % (1478417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478417)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478417)Termination reason: Instruction limit
% 31.74/5.46 % (1478417)Termination phase: Saturation
% 31.74/5.46 % (1478417)Time elapsed: 0.294 s
% 31.74/5.46 % (1478417)Peak memory usage: 102 MB
% 31.74/5.46 % (1478417)Instructions burned: 592 (million)
% 31.74/5.46 % (1478421)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=3911041447:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 31.74/5.46 % (1478421)Instruction limit reached!
% 31.74/5.46 % (1478421)------------------------------
% 31.74/5.46 % (1478421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478421)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478421)Termination reason: Instruction limit
% 31.74/5.46 % (1478421)Termination phase: Saturation
% 31.74/5.46 % (1478421)Time elapsed: 0.068 s
% 31.74/5.46 % (1478421)Peak memory usage: 93 MB
% 31.74/5.46 % (1478421)Instructions burned: 125 (million)
% 31.74/5.46 % (1478400)Instruction limit reached!
% 31.74/5.46 % (1478400)------------------------------
% 31.74/5.46 % (1478400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478400)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478400)Termination reason: Instruction limit
% 31.74/5.46 % (1478400)Termination phase: Saturation
% 31.74/5.46 % (1478400)Time elapsed: 1.429 s
% 31.74/5.46 % (1478400)Peak memory usage: 213 MB
% 31.74/5.46 % (1478400)Instructions burned: 2352 (million)
% 31.74/5.46 % (1478426)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=542408890:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 31.74/5.46 % (1478427)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3364788391:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 31.74/5.46 % (1478427)Refutation not found, incomplete strategy
% 31.74/5.46 % (1478427)------------------------------
% 31.74/5.46 % (1478427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478427)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478427)Termination reason: Refutation not found, incomplete strategy
% 31.74/5.46 % (1478427)Time elapsed: 0.012 s
% 31.74/5.46 % (1478427)Peak memory usage: 92 MB
% 31.74/5.46 % (1478427)Instructions burned: 14 (million)
% 31.74/5.46 % (1478426)Instruction limit reached!
% 31.74/5.46 % (1478426)------------------------------
% 31.74/5.46 % (1478426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478426)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478426)Termination reason: Instruction limit
% 31.74/5.46 % (1478426)Termination phase: Preprocessing 3
% 31.74/5.46 % (1478426)Time elapsed: 0.074 s
% 31.74/5.46 % (1478426)Peak memory usage: 92 MB
% 31.74/5.46 % (1478426)Instructions burned: 134 (million)
% 31.74/5.46 % (1478430)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3001823142:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 31.74/5.46 % (1478430)Refutation not found, incomplete strategy
% 31.74/5.46 % (1478430)------------------------------
% 31.74/5.46 % (1478430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478430)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478430)Termination reason: Refutation not found, incomplete strategy
% 31.74/5.46 % (1478430)Time elapsed: 0.015 s
% 31.74/5.46 % (1478430)Peak memory usage: 91 MB
% 31.74/5.46 % (1478430)Instructions burned: 18 (million)
% 31.74/5.46 % (1478427)------------------------------
% 31.74/5.46 % (1478427)------------------------------
% 31.74/5.46 % (1478432)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=1013469408:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 31.74/5.46 % (1478430)------------------------------
% 31.74/5.46 % (1478430)------------------------------
% 31.74/5.46 % (1478434)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=809426107:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 31.74/5.46 % (1478434)Instruction limit reached!
% 31.74/5.46 % (1478434)------------------------------
% 31.74/5.46 % (1478434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478434)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478434)Termination reason: Instruction limit
% 31.74/5.46 % (1478434)Termination phase: Property scanning
% 31.74/5.46 % (1478434)Time elapsed: 0.085 s
% 31.74/5.46 % (1478434)Peak memory usage: 94 MB
% 31.74/5.46 % (1478434)Instructions burned: 150 (million)
% 31.74/5.46 % (1478436)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3970891121:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 31.74/5.46 % (1478418)First to succeed.
% 31.74/5.46 % (1478418)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1478372"
% 31.74/5.46 % (1478413)Instruction limit reached!
% 31.74/5.46 % (1478413)------------------------------
% 31.74/5.46 % (1478413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/5.46 % (1478413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.46 % (1478413)CaDiCaL version: 2.1.3
% 31.74/5.46 % (1478413)Termination reason: Instruction limit
% 31.74/5.46 % (1478413)Termination phase: Saturation
% 31.74/5.46 % (1478413)Time elapsed: 3.126 s
% 31.74/5.46 % (1478413)Peak memory usage: 194 MB
% 31.74/5.46 % (1478413)Instructions burned: 5203 (million)
% 31.74/5.46 % (1478438)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3999363971:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 31.74/5.46 % (1478418)Refutation found. Thanks to Tanya!
% 31.74/5.46 % SZS status Theorem for theBenchmark
% 31.74/5.46 % SZS output start Proof for theBenchmark
% See solution above
% 32.45/5.66 % (1478418)------------------------------
% 32.45/5.66 % (1478418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.45/5.66 % (1478418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.45/5.66 % (1478418)CaDiCaL version: 2.1.3
% 32.45/5.66 % (1478418)Termination reason: Refutation
% 32.45/5.66 % (1478418)Time elapsed: 2.489 s
% 32.45/5.66 % (1478418)Peak memory usage: 165 MB
% 32.45/5.66 % (1478418)Instructions burned: 3901 (million)
% 32.45/5.66 % (1478418)------------------------------
% 32.45/5.66 % (1478418)------------------------------
% 32.45/5.66 % (1478372)Success in time 4.593 s
% 32.45/5.66 % Vampire exiting
%------------------------------------------------------------------------------