%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP634+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 10:15:09 AM UTC 2026
% Result : Theorem 40.20s 7.78s
% Output : Refutation 45.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 34
% Syntax : Number of formulae : 321 ( 41 unt; 14 def)
% Number of atoms : 1648 ( 50 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 2313 ( 986 ~;1084 |; 189 &)
% ( 19 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 175 ( 0 sgn 167 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f7468,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> X0 = g1_group_1(u1_struct_0(X0),u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f7470,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f8183,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v3_realset2(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_realset2) ).
fof(f8697,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> v4_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_group_2) ).
fof(f8765,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_group_2) ).
fof(f8776,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_group_2(X0) = g1_group_1(u1_struct_0(X0),u1_group_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_group_2) ).
fof(f8898,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f10423,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( m1_group_2(X1,k10_group_5(X0))
=> ( v1_group_3(X1,X0)
& m1_group_2(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_group_5) ).
fof(f10426,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
<=> k10_group_5(X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_group_5) ).
fof(f11095,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
=> ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_group_6) ).
fof(f11096,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
=> ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1))
& v2_group_1(k6_group_6(X0,X1))
& v3_group_1(k6_group_6(X0,X1))
& v4_group_1(k6_group_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_group_6) ).
fof(f11194,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> v3_realset2(k6_group_6(X0,k6_group_2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_group_6) ).
fof(f11198,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ( r2_group_6(X0,X1)
& v3_realset2(X0) )
=> v3_realset2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_group_6) ).
fof(f11209,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( r2_group_6(X0,X1)
=> r2_group_6(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r2_group_6) ).
fof(f11219,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
=> l1_group_1(k6_group_6(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_group_6) ).
fof(f12869,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f12871,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f12912,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_autgroup) ).
fof(f12913,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> X1 = k2_group_1(k5_autgroup(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_autgroup) ).
fof(f12914,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> X1 = k2_group_1(k5_autgroup(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f12913]) ).
fof(f13036,plain,
? [X0] :
( ? [X1] :
( k2_group_1(k5_autgroup(X0)) != X1
& m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f12914]) ).
fof(f13037,plain,
? [X0] :
( ? [X1] :
( k2_group_1(k5_autgroup(X0)) != X1
& m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f13036]) ).
fof(f13054,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8898]) ).
fof(f13055,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13054]) ).
fof(f13060,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8765]) ).
fof(f13061,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13060]) ).
fof(f13064,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8697]) ).
fof(f13065,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13064]) ).
fof(f13130,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7470]) ).
fof(f13131,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13130]) ).
fof(f13160,plain,
! [X0] :
( r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12912]) ).
fof(f13161,plain,
! [X0] :
( r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13160]) ).
fof(f13170,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12871]) ).
fof(f13171,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13170]) ).
fof(f13286,plain,
! [X0,X1] :
( l1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f11219]) ).
fof(f13287,plain,
! [X0,X1] :
( l1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f13286]) ).
fof(f13298,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1))
& v2_group_1(k6_group_6(X0,X1))
& v3_group_1(k6_group_6(X0,X1))
& v4_group_1(k6_group_6(X0,X1)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f11096]) ).
fof(f13299,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1))
& v2_group_1(k6_group_6(X0,X1))
& v3_group_1(k6_group_6(X0,X1))
& v4_group_1(k6_group_6(X0,X1)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f13298]) ).
fof(f13300,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f11095]) ).
fof(f13301,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f13300]) ).
fof(f13397,plain,
! [X0] :
( X0 = g1_group_1(u1_struct_0(X0),u1_group_1(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7468]) ).
fof(f13398,plain,
! [X0] :
( X0 = g1_group_1(u1_struct_0(X0),u1_group_1(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13397]) ).
fof(f14184,plain,
! [X0,X1] :
( r2_group_6(X1,X0)
| ~ r2_group_6(X0,X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(ennf_transformation,[],[f11209]) ).
fof(f14185,plain,
! [X0,X1] :
( r2_group_6(X1,X0)
| ~ r2_group_6(X0,X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(flattening,[],[f14184]) ).
fof(f14188,plain,
! [X0] :
( ! [X1] :
( v3_realset2(X1)
| ~ r2_group_6(X0,X1)
| ~ v3_realset2(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f11198]) ).
fof(f14189,plain,
! [X0] :
( ! [X1] :
( v3_realset2(X1)
| ~ r2_group_6(X0,X1)
| ~ v3_realset2(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14188]) ).
fof(f14204,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
<=> k10_group_5(X0) = X0 )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f10426]) ).
fof(f14205,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
<=> k10_group_5(X0) = X0 )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14204]) ).
fof(f14210,plain,
! [X0] :
( ! [X1] :
( ( v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
| ~ m1_group_2(X1,k10_group_5(X0))
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f10423]) ).
fof(f14211,plain,
! [X0] :
( ! [X1] :
( ( v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
| ~ m1_group_2(X1,k10_group_5(X0))
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14210]) ).
fof(f14216,plain,
! [X0] :
( v3_realset2(k6_group_6(X0,k6_group_2(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f11194]) ).
fof(f14217,plain,
! [X0] :
( v3_realset2(k6_group_6(X0,k6_group_2(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14216]) ).
fof(f14348,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12869]) ).
fof(f14349,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14348]) ).
fof(f14738,plain,
! [X0] :
( k6_group_2(X0) = g1_group_1(u1_struct_0(X0),u1_group_1(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8776]) ).
fof(f14739,plain,
! [X0] :
( k6_group_2(X0) = g1_group_1(u1_struct_0(X0),u1_group_1(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14738]) ).
fof(f15647,plain,
! [X0] :
( ( v3_realset2(X0)
<=> ! [X1] :
( ! [X2] :
( X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f8183]) ).
fof(f16046,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f18222,plain,
( sK90 != k2_group_1(k5_autgroup(sK89))
& m1_subset_1(sK90,u1_struct_0(k5_autgroup(sK89)))
& ~ v3_struct_0(sK89)
& v3_group_1(sK89)
& v4_group_1(sK89)
& v7_group_1(sK89)
& l1_group_1(sK89)
& ~ v3_struct_0(sK89)
& v1_group_1(sK89)
& v3_group_1(sK89)
& v4_group_1(sK89)
& l1_group_1(sK89) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90]),skolemize(X0,sK89),skolemize(X1,sK90)],[f13037]) ).
fof(f18580,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
| k10_group_5(X0) != X0 )
& ( k10_group_5(X0) = X0
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0) ) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f14205]) ).
fof(f18581,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
| k10_group_5(X0) != X0 )
& ( k10_group_5(X0) = X0
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0) ) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f18580]) ).
fof(f19066,plain,
! [X0] :
( ( ( v3_realset2(X0)
| ? [X1] :
( ? [X2] :
( X1 != X2
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_realset2(X0) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f15647]) ).
fof(f19067,plain,
! [X0] :
( ( ( v3_realset2(X0)
| ? [X1] :
( ? [X2] :
( X1 != X2
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_realset2(X0) ) )
| ~ l1_struct_0(X0) ),
inference(rectify,[],[f19066]) ).
fof(f19068,plain,
! [X0] :
( ( ( v3_realset2(X0)
| ( sK573(X0) != sK574(X0)
& m1_subset_1(sK574(X0),u1_struct_0(X0))
& m1_subset_1(sK573(X0),u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_realset2(X0) ) )
| ~ l1_struct_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK573,sK574]),skolemize(X1,sK573(X0)),skolemize(X2,sK574(X0))],[f19067]) ).
fof(f19749,plain,
l1_group_1(sK89),
inference(cnf_transformation,[],[f18222]) ).
fof(f19750,plain,
v4_group_1(sK89),
inference(cnf_transformation,[],[f18222]) ).
fof(f19751,plain,
v3_group_1(sK89),
inference(cnf_transformation,[],[f18222]) ).
fof(f19752,plain,
v1_group_1(sK89),
inference(cnf_transformation,[],[f18222]) ).
fof(f19753,plain,
~ v3_struct_0(sK89),
inference(cnf_transformation,[],[f18222]) ).
fof(f19755,plain,
v7_group_1(sK89),
inference(cnf_transformation,[],[f18222]) ).
fof(f19759,plain,
m1_subset_1(sK90,u1_struct_0(k5_autgroup(sK89))),
inference(cnf_transformation,[],[f18222]) ).
fof(f19760,plain,
sK90 != k2_group_1(k5_autgroup(sK89)),
inference(cnf_transformation,[],[f18222]) ).
fof(f19783,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13055]) ).
fof(f19784,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13055]) ).
fof(f19785,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13055]) ).
fof(f19788,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13061]) ).
fof(f19790,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v4_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13065]) ).
fof(f19923,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13131]) ).
fof(f19949,plain,
! [X0] :
( r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13161]) ).
fof(f19955,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13171]) ).
fof(f19957,plain,
! [X0] :
( v1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13171]) ).
fof(f20131,plain,
! [X0,X1] :
( l1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f13287]) ).
fof(f20144,plain,
! [X0,X1] :
( v4_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f13299]) ).
fof(f20145,plain,
! [X0,X1] :
( v3_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f13299]) ).
fof(f20149,plain,
! [X0,X1] :
( v1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f13301]) ).
fof(f20150,plain,
! [X0,X1] :
( ~ v3_struct_0(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f13301]) ).
fof(f20281,plain,
! [X0] :
( ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13398]) ).
fof(f21163,plain,
! [X0,X1] :
( ~ r2_group_6(X0,X1)
| r2_group_6(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f14185]) ).
fof(f21165,plain,
! [X0,X1] :
( ~ r2_group_6(X0,X1)
| v3_realset2(X1)
| ~ v3_realset2(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14189]) ).
fof(f21179,plain,
! [X0] :
( k10_group_5(X0) = X0
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f18581]) ).
fof(f21189,plain,
! [X0,X1] :
( ~ m1_group_2(X1,k10_group_5(X0))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14211]) ).
fof(f21195,plain,
! [X0] :
( v3_realset2(k6_group_6(X0,k6_group_2(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14217]) ).
fof(f21337,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14349]) ).
fof(f21338,plain,
! [X0] :
( v4_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14349]) ).
fof(f21339,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14349]) ).
fof(f21341,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14349]) ).
fof(f21955,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = k6_group_2(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14739]) ).
fof(f23253,plain,
! [X3,X0,X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| X3 = X4
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_realset2(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f19068]) ).
fof(f23745,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f16046]) ).
fof(f28398,plain,
! [X0] :
( ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k10_group_5(X0) = X0
| ~ l1_group_1(X0)
| ~ v1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f21179]) ).
fof(f28974,plain,
! [X0] :
( ~ v3_struct_0(k5_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f19785,f19955]) ).
fof(f29008,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f19784,f19955]) ).
fof(f29031,plain,
! [X0] :
( l1_group_1(k5_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f19783,f19955]) ).
fof(f29039,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| sK89 = k10_group_5(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_1(sK89) ),
inference(resolution,[],[f28398,f19755]) ).
fof(f29070,plain,
! [X0] :
( v4_group_1(k5_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f19790,f19955]) ).
fof(f29136,definition,
( spl930_39
<=> l1_group_1(k5_autgroup(sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_39])],[avatar_definition]) ).
fof(f29137,plain,
( l1_group_1(k5_autgroup(sK89))
| ~ spl930_39 ),
inference(avatar_component_clause,[],[f29136]) ).
fof(f29138,plain,
( ~ l1_group_1(k5_autgroup(sK89))
| spl930_39 ),
inference(avatar_component_clause,[],[f29136]) ).
fof(f29140,definition,
( spl930_40
<=> v4_group_1(k5_autgroup(sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_40])],[avatar_definition]) ).
fof(f29141,plain,
( v4_group_1(k5_autgroup(sK89))
| ~ spl930_40 ),
inference(avatar_component_clause,[],[f29140]) ).
fof(f29142,plain,
( ~ v4_group_1(k5_autgroup(sK89))
| spl930_40 ),
inference(avatar_component_clause,[],[f29140]) ).
fof(f29144,definition,
( spl930_41
<=> v3_group_1(k5_autgroup(sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_41])],[avatar_definition]) ).
fof(f29145,plain,
( v3_group_1(k5_autgroup(sK89))
| ~ spl930_41 ),
inference(avatar_component_clause,[],[f29144]) ).
fof(f29146,plain,
( ~ v3_group_1(k5_autgroup(sK89))
| spl930_41 ),
inference(avatar_component_clause,[],[f29144]) ).
fof(f29148,definition,
( spl930_42
<=> v3_struct_0(k5_autgroup(sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_42])],[avatar_definition]) ).
fof(f29149,plain,
( ~ v3_struct_0(k5_autgroup(sK89))
| spl930_42 ),
inference(avatar_component_clause,[],[f29148]) ).
fof(f29150,plain,
( v3_struct_0(k5_autgroup(sK89))
| ~ spl930_42 ),
inference(avatar_component_clause,[],[f29148]) ).
fof(f29284,plain,
! [X0] :
( ~ v3_struct_0(k5_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f28974,f21341]) ).
fof(f29292,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29008,f21341]) ).
fof(f29294,plain,
! [X0] :
( l1_group_1(k5_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29031,f21341]) ).
fof(f29296,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| sK89 = k10_group_5(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29039,f19753]) ).
fof(f29300,plain,
! [X0] :
( v4_group_1(k5_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29070,f21341]) ).
fof(f29302,definition,
( spl930_55
<=> v1_group_1(k5_autgroup(sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_55])],[avatar_definition]) ).
fof(f29303,plain,
( v1_group_1(k5_autgroup(sK89))
| ~ spl930_55 ),
inference(avatar_component_clause,[],[f29302]) ).
fof(f29304,plain,
( ~ v1_group_1(k5_autgroup(sK89))
| spl930_55 ),
inference(avatar_component_clause,[],[f29302]) ).
fof(f29324,plain,
! [X0] :
( ~ v3_struct_0(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29284,f21339]) ).
fof(f29328,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29292,f21339]) ).
fof(f29330,plain,
! [X0] :
( l1_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29294,f21339]) ).
fof(f29331,plain,
( ~ v4_group_1(sK89)
| sK89 = k10_group_5(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29296,f19751]) ).
fof(f29333,plain,
! [X0] :
( v4_group_1(k5_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29300,f21339]) ).
fof(f29342,plain,
! [X0] :
( ~ v3_struct_0(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29324,f21337]) ).
fof(f29345,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29328,f21337]) ).
fof(f29347,plain,
! [X0] :
( l1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29330,f21337]) ).
fof(f29348,plain,
( sK89 = k10_group_5(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29331,f19750]) ).
fof(f29350,plain,
! [X0] :
( v4_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29333,f21338]) ).
fof(f29359,plain,
( sK89 = k10_group_5(sK89)
| ~ v1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29348,f19749]) ).
fof(f29361,plain,
! [X0] :
( v4_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f29350,f21337]) ).
fof(f29363,plain,
sK89 = k10_group_5(sK89),
inference(forward_subsumption_resolution,[],[f29359,f19752]) ).
fof(f29452,plain,
! [X0] :
( ~ m1_group_2(X0,sK89)
| v1_group_3(X0,sK89)
| ~ m1_group_2(X0,sK89)
| v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(superposition,[],[f21189,f29363]) ).
fof(f29453,plain,
! [X0] :
( ~ m1_group_2(X0,sK89)
| v1_group_3(X0,sK89)
| v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(duplicate_literal_removal,[],[f29452]) ).
fof(f29454,plain,
! [X0] :
( ~ m1_group_2(X0,sK89)
| v1_group_3(X0,sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29453,f19753]) ).
fof(f29455,plain,
! [X0] :
( ~ m1_group_2(X0,sK89)
| v1_group_3(X0,sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29454,f19751]) ).
fof(f29456,plain,
! [X0] :
( ~ m1_group_2(X0,sK89)
| v1_group_3(X0,sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29455,f19750]) ).
fof(f29457,plain,
! [X0] :
( ~ m1_group_2(X0,sK89)
| v1_group_3(X0,sK89) ),
inference(forward_subsumption_resolution,[],[f29456,f19749]) ).
fof(f29482,plain,
( v3_struct_0(sK89)
| ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_55 ),
inference(resolution,[],[f29304,f19957]) ).
fof(f29483,plain,
( ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_55 ),
inference(forward_subsumption_resolution,[],[f29482,f19753]) ).
fof(f29484,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_55 ),
inference(forward_subsumption_resolution,[],[f29483,f19752]) ).
fof(f29485,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_55 ),
inference(forward_subsumption_resolution,[],[f29484,f19751]) ).
fof(f29486,plain,
( ~ l1_group_1(sK89)
| spl930_55 ),
inference(forward_subsumption_resolution,[],[f29485,f19750]) ).
fof(f29487,plain,
( $false
| spl930_55 ),
inference(forward_subsumption_resolution,[],[f29486,f19749]) ).
fof(f29488,plain,
spl930_55,
inference(avatar_contradiction_clause,[],[f29487]) ).
fof(f29518,plain,
( v1_group_3(sK89,sK89)
| v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(resolution,[],[f29457,f19788]) ).
fof(f29519,plain,
( v1_group_3(sK89,sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29518,f19753]) ).
fof(f29520,plain,
( v1_group_3(sK89,sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29519,f19751]) ).
fof(f29521,plain,
( v1_group_3(sK89,sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f29520,f19750]) ).
fof(f29522,plain,
v1_group_3(sK89,sK89),
inference(forward_subsumption_resolution,[],[f29521,f19749]) ).
fof(f29526,plain,
( v3_struct_0(sK89)
| ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_39 ),
inference(resolution,[],[f29347,f29138]) ).
fof(f29528,plain,
( ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_39 ),
inference(forward_subsumption_resolution,[],[f29526,f19753]) ).
fof(f29529,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_39 ),
inference(forward_subsumption_resolution,[],[f29528,f19752]) ).
fof(f29530,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_39 ),
inference(forward_subsumption_resolution,[],[f29529,f19751]) ).
fof(f29531,plain,
( ~ l1_group_1(sK89)
| spl930_39 ),
inference(forward_subsumption_resolution,[],[f29530,f19750]) ).
fof(f29532,plain,
( $false
| spl930_39 ),
inference(forward_subsumption_resolution,[],[f29531,f19749]) ).
fof(f29533,plain,
spl930_39,
inference(avatar_contradiction_clause,[],[f29532]) ).
fof(f29551,plain,
( v3_struct_0(sK89)
| ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ spl930_42 ),
inference(resolution,[],[f29150,f29342]) ).
fof(f29552,plain,
( ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ spl930_42 ),
inference(forward_subsumption_resolution,[],[f29551,f19753]) ).
fof(f29553,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ spl930_42 ),
inference(forward_subsumption_resolution,[],[f29552,f19752]) ).
fof(f29554,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ spl930_42 ),
inference(forward_subsumption_resolution,[],[f29553,f19751]) ).
fof(f29555,plain,
( ~ l1_group_1(sK89)
| ~ spl930_42 ),
inference(forward_subsumption_resolution,[],[f29554,f19750]) ).
fof(f29556,plain,
( $false
| ~ spl930_42 ),
inference(forward_subsumption_resolution,[],[f29555,f19749]) ).
fof(f29557,plain,
~ spl930_42,
inference(avatar_contradiction_clause,[],[f29556]) ).
fof(f29561,plain,
( v3_struct_0(sK89)
| ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_40 ),
inference(resolution,[],[f29361,f29142]) ).
fof(f29574,plain,
( ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_40 ),
inference(forward_subsumption_resolution,[],[f29561,f19753]) ).
fof(f29581,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_40 ),
inference(forward_subsumption_resolution,[],[f29574,f19752]) ).
fof(f29588,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_40 ),
inference(forward_subsumption_resolution,[],[f29581,f19751]) ).
fof(f29593,plain,
( ~ l1_group_1(sK89)
| spl930_40 ),
inference(forward_subsumption_resolution,[],[f29588,f19750]) ).
fof(f29594,plain,
( $false
| spl930_40 ),
inference(forward_subsumption_resolution,[],[f29593,f19749]) ).
fof(f29595,plain,
spl930_40,
inference(avatar_contradiction_clause,[],[f29594]) ).
fof(f29602,plain,
( v3_struct_0(sK89)
| ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_41 ),
inference(resolution,[],[f29345,f29146]) ).
fof(f29605,plain,
( ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_41 ),
inference(forward_subsumption_resolution,[],[f29602,f19753]) ).
fof(f29607,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_41 ),
inference(forward_subsumption_resolution,[],[f29605,f19752]) ).
fof(f29608,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_41 ),
inference(forward_subsumption_resolution,[],[f29607,f19751]) ).
fof(f29609,plain,
( ~ l1_group_1(sK89)
| spl930_41 ),
inference(forward_subsumption_resolution,[],[f29608,f19750]) ).
fof(f29610,plain,
( $false
| spl930_41 ),
inference(forward_subsumption_resolution,[],[f29609,f19749]) ).
fof(f29611,plain,
spl930_41,
inference(avatar_contradiction_clause,[],[f29610]) ).
fof(f30040,plain,
( r2_group_6(k5_autgroup(sK89),k6_group_6(sK89,sK89))
| v3_struct_0(sK89)
| ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(superposition,[],[f19949,f29363]) ).
fof(f30041,plain,
( r2_group_6(k5_autgroup(sK89),k6_group_6(sK89,sK89))
| ~ v1_group_1(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f30040,f19753]) ).
fof(f30043,plain,
( r2_group_6(k5_autgroup(sK89),k6_group_6(sK89,sK89))
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f30041,f19752]) ).
fof(f30045,plain,
( r2_group_6(k5_autgroup(sK89),k6_group_6(sK89,sK89))
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f30043,f19751]) ).
fof(f30047,plain,
( r2_group_6(k5_autgroup(sK89),k6_group_6(sK89,sK89))
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f30045,f19750]) ).
fof(f30049,plain,
r2_group_6(k5_autgroup(sK89),k6_group_6(sK89,sK89)),
inference(forward_subsumption_resolution,[],[f30047,f19749]) ).
fof(f30051,plain,
( r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89))
| v3_struct_0(k5_autgroup(sK89))
| ~ v1_group_1(k5_autgroup(sK89))
| ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89)) ),
inference(resolution,[],[f30049,f21163]) ).
fof(f30052,plain,
( r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89))
| ~ v1_group_1(k5_autgroup(sK89))
| ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| spl930_42 ),
inference(forward_subsumption_resolution,[],[f30051,f29149]) ).
fof(f30053,plain,
( r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89))
| ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| spl930_42
| ~ spl930_55 ),
inference(forward_subsumption_resolution,[],[f30052,f29303]) ).
fof(f30054,plain,
( r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_41
| spl930_42
| ~ spl930_55 ),
inference(forward_subsumption_resolution,[],[f30053,f29145]) ).
fof(f30055,plain,
( r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55 ),
inference(forward_subsumption_resolution,[],[f30054,f29141]) ).
fof(f30056,plain,
( r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55 ),
inference(forward_subsumption_resolution,[],[f30055,f29137]) ).
fof(f30058,definition,
( spl930_91
<=> l1_group_1(k6_group_6(sK89,sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_91])],[avatar_definition]) ).
fof(f30059,plain,
( l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_91 ),
inference(avatar_component_clause,[],[f30058]) ).
fof(f30060,plain,
( ~ l1_group_1(k6_group_6(sK89,sK89))
| spl930_91 ),
inference(avatar_component_clause,[],[f30058]) ).
fof(f30062,definition,
( spl930_92
<=> v4_group_1(k6_group_6(sK89,sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_92])],[avatar_definition]) ).
fof(f30063,plain,
( v4_group_1(k6_group_6(sK89,sK89))
| ~ spl930_92 ),
inference(avatar_component_clause,[],[f30062]) ).
fof(f30064,plain,
( ~ v4_group_1(k6_group_6(sK89,sK89))
| spl930_92 ),
inference(avatar_component_clause,[],[f30062]) ).
fof(f30066,definition,
( spl930_93
<=> v3_group_1(k6_group_6(sK89,sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_93])],[avatar_definition]) ).
fof(f30067,plain,
( v3_group_1(k6_group_6(sK89,sK89))
| ~ spl930_93 ),
inference(avatar_component_clause,[],[f30066]) ).
fof(f30068,plain,
( ~ v3_group_1(k6_group_6(sK89,sK89))
| spl930_93 ),
inference(avatar_component_clause,[],[f30066]) ).
fof(f30070,definition,
( spl930_94
<=> v1_group_1(k6_group_6(sK89,sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_94])],[avatar_definition]) ).
fof(f30071,plain,
( v1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_94 ),
inference(avatar_component_clause,[],[f30070]) ).
fof(f30072,plain,
( ~ v1_group_1(k6_group_6(sK89,sK89))
| spl930_94 ),
inference(avatar_component_clause,[],[f30070]) ).
fof(f30074,definition,
( spl930_95
<=> v3_struct_0(k6_group_6(sK89,sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_95])],[avatar_definition]) ).
fof(f30075,plain,
( ~ v3_struct_0(k6_group_6(sK89,sK89))
| spl930_95 ),
inference(avatar_component_clause,[],[f30074]) ).
fof(f30076,plain,
( v3_struct_0(k6_group_6(sK89,sK89))
| ~ spl930_95 ),
inference(avatar_component_clause,[],[f30074]) ).
fof(f30078,definition,
( spl930_96
<=> r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_96])],[avatar_definition]) ).
fof(f30080,plain,
( r2_group_6(k6_group_6(sK89,sK89),k5_autgroup(sK89))
| ~ spl930_96 ),
inference(avatar_component_clause,[],[f30078]) ).
fof(f30081,plain,
( ~ spl930_91
| ~ spl930_92
| ~ spl930_93
| ~ spl930_94
| spl930_95
| spl930_96
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55 ),
inference(avatar_split_clause,[],[f30056,f29302,f29148,f29144,f29140,f29136,f30078,f30074,f30070,f30066,f30062,f30058]) ).
fof(f30700,plain,
! [X0,X1] :
( k2_group_1(X1) = X0
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v3_realset2(X1)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f23253,f19923]) ).
fof(f30711,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| k2_group_1(X1) = X0
| ~ v3_realset2(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f30700,f23745]) ).
fof(f30714,definition,
( spl930_122
<=> v3_realset2(k5_autgroup(sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_122])],[avatar_definition]) ).
fof(f30715,plain,
( v3_realset2(k5_autgroup(sK89))
| ~ spl930_122 ),
inference(avatar_component_clause,[],[f30714]) ).
fof(f30716,plain,
( ~ v3_realset2(k5_autgroup(sK89))
| spl930_122 ),
inference(avatar_component_clause,[],[f30714]) ).
fof(f31500,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ m1_group_2(sK89,sK89)
| spl930_91 ),
inference(resolution,[],[f20131,f30060]) ).
fof(f31502,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_91 ),
inference(forward_subsumption_resolution,[],[f31500,f19788]) ).
fof(f31503,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_91 ),
inference(forward_subsumption_resolution,[],[f31502,f19753]) ).
fof(f31504,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_91 ),
inference(forward_subsumption_resolution,[],[f31503,f19751]) ).
fof(f31505,plain,
( ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_91 ),
inference(forward_subsumption_resolution,[],[f31504,f19750]) ).
fof(f31506,plain,
( ~ v1_group_3(sK89,sK89)
| spl930_91 ),
inference(forward_subsumption_resolution,[],[f31505,f19749]) ).
fof(f31507,plain,
( $false
| spl930_91 ),
inference(forward_subsumption_resolution,[],[f31506,f29522]) ).
fof(f31508,plain,
spl930_91,
inference(avatar_contradiction_clause,[],[f31507]) ).
fof(f31515,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ m1_group_2(sK89,sK89)
| spl930_92 ),
inference(resolution,[],[f30064,f20144]) ).
fof(f31516,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_92 ),
inference(forward_subsumption_resolution,[],[f31515,f19788]) ).
fof(f31517,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_92 ),
inference(forward_subsumption_resolution,[],[f31516,f19753]) ).
fof(f31518,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_92 ),
inference(forward_subsumption_resolution,[],[f31517,f19751]) ).
fof(f31519,plain,
( ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_92 ),
inference(forward_subsumption_resolution,[],[f31518,f19750]) ).
fof(f31520,plain,
( ~ v1_group_3(sK89,sK89)
| spl930_92 ),
inference(forward_subsumption_resolution,[],[f31519,f19749]) ).
fof(f31521,plain,
( $false
| spl930_92 ),
inference(forward_subsumption_resolution,[],[f31520,f29522]) ).
fof(f31522,plain,
spl930_92,
inference(avatar_contradiction_clause,[],[f31521]) ).
fof(f31523,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ m1_group_2(sK89,sK89)
| ~ spl930_95 ),
inference(resolution,[],[f30076,f20150]) ).
fof(f31524,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ spl930_95 ),
inference(forward_subsumption_resolution,[],[f31523,f19788]) ).
fof(f31525,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ spl930_95 ),
inference(forward_subsumption_resolution,[],[f31524,f19753]) ).
fof(f31526,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ spl930_95 ),
inference(forward_subsumption_resolution,[],[f31525,f19751]) ).
fof(f31527,plain,
( ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ spl930_95 ),
inference(forward_subsumption_resolution,[],[f31526,f19750]) ).
fof(f31528,plain,
( ~ v1_group_3(sK89,sK89)
| ~ spl930_95 ),
inference(forward_subsumption_resolution,[],[f31527,f19749]) ).
fof(f31529,plain,
( $false
| ~ spl930_95 ),
inference(forward_subsumption_resolution,[],[f31528,f29522]) ).
fof(f31530,plain,
~ spl930_95,
inference(avatar_contradiction_clause,[],[f31529]) ).
fof(f31531,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ m1_group_2(sK89,sK89)
| spl930_93 ),
inference(resolution,[],[f30068,f20145]) ).
fof(f31532,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_93 ),
inference(forward_subsumption_resolution,[],[f31531,f19788]) ).
fof(f31533,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_93 ),
inference(forward_subsumption_resolution,[],[f31532,f19753]) ).
fof(f31534,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_93 ),
inference(forward_subsumption_resolution,[],[f31533,f19751]) ).
fof(f31535,plain,
( ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_93 ),
inference(forward_subsumption_resolution,[],[f31534,f19750]) ).
fof(f31536,plain,
( ~ v1_group_3(sK89,sK89)
| spl930_93 ),
inference(forward_subsumption_resolution,[],[f31535,f19749]) ).
fof(f31537,plain,
( $false
| spl930_93 ),
inference(forward_subsumption_resolution,[],[f31536,f29522]) ).
fof(f31538,plain,
spl930_93,
inference(avatar_contradiction_clause,[],[f31537]) ).
fof(f31552,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| ~ m1_group_2(sK89,sK89)
| spl930_94 ),
inference(resolution,[],[f30072,f20149]) ).
fof(f31553,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_94 ),
inference(forward_subsumption_resolution,[],[f31552,f19788]) ).
fof(f31554,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_94 ),
inference(forward_subsumption_resolution,[],[f31553,f19753]) ).
fof(f31555,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_94 ),
inference(forward_subsumption_resolution,[],[f31554,f19751]) ).
fof(f31556,plain,
( ~ l1_group_1(sK89)
| ~ v1_group_3(sK89,sK89)
| spl930_94 ),
inference(forward_subsumption_resolution,[],[f31555,f19750]) ).
fof(f31557,plain,
( ~ v1_group_3(sK89,sK89)
| spl930_94 ),
inference(forward_subsumption_resolution,[],[f31556,f19749]) ).
fof(f31558,plain,
( $false
| spl930_94 ),
inference(forward_subsumption_resolution,[],[f31557,f29522]) ).
fof(f31559,plain,
spl930_94,
inference(avatar_contradiction_clause,[],[f31558]) ).
fof(f31590,definition,
( spl930_193
<=> v3_realset2(k6_group_6(sK89,sK89)) ),
introduced(definition,[new_symbols(definition,[spl930_193])],[avatar_definition]) ).
fof(f31591,plain,
( v3_realset2(k6_group_6(sK89,sK89))
| ~ spl930_193 ),
inference(avatar_component_clause,[],[f31590]) ).
fof(f31592,plain,
( ~ v3_realset2(k6_group_6(sK89,sK89))
| spl930_193 ),
inference(avatar_component_clause,[],[f31590]) ).
fof(f32072,plain,
( sK89 = g1_group_1(u1_struct_0(sK89),u1_group_1(sK89))
| ~ l1_group_1(sK89) ),
inference(resolution,[],[f20281,f19752]) ).
fof(f32073,plain,
sK89 = g1_group_1(u1_struct_0(sK89),u1_group_1(sK89)),
inference(forward_subsumption_resolution,[],[f32072,f19749]) ).
fof(f32886,plain,
( v3_realset2(k5_autgroup(sK89))
| ~ v3_realset2(k6_group_6(sK89,sK89))
| v3_struct_0(k5_autgroup(sK89))
| ~ v1_group_1(k5_autgroup(sK89))
| ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_96 ),
inference(resolution,[],[f30080,f21165]) ).
fof(f33040,definition,
( spl930_219
<=> sK89 = k6_group_2(sK89) ),
introduced(definition,[new_symbols(definition,[spl930_219])],[avatar_definition]) ).
fof(f33042,plain,
( sK89 = k6_group_2(sK89)
| ~ spl930_219 ),
inference(avatar_component_clause,[],[f33040]) ).
fof(f33099,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| k6_group_2(sK89) = g1_group_1(u1_struct_0(sK89),u1_group_1(sK89))
| ~ l1_group_1(sK89) ),
inference(resolution,[],[f21955,f19750]) ).
fof(f33100,plain,
( ~ v3_group_1(sK89)
| k6_group_2(sK89) = g1_group_1(u1_struct_0(sK89),u1_group_1(sK89))
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f33099,f19753]) ).
fof(f33110,plain,
( k6_group_2(sK89) = g1_group_1(u1_struct_0(sK89),u1_group_1(sK89))
| ~ l1_group_1(sK89) ),
inference(forward_subsumption_resolution,[],[f33100,f19751]) ).
fof(f33120,plain,
k6_group_2(sK89) = g1_group_1(u1_struct_0(sK89),u1_group_1(sK89)),
inference(forward_subsumption_resolution,[],[f33110,f19749]) ).
fof(f33129,plain,
sK89 = k6_group_2(sK89),
inference(forward_demodulation,[],[f33120,f32073]) ).
fof(f33135,plain,
spl930_219,
inference(avatar_split_clause,[],[f33129,f33040]) ).
fof(f34255,plain,
( sK90 = k2_group_1(k5_autgroup(sK89))
| ~ v3_realset2(k5_autgroup(sK89))
| v3_struct_0(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89)) ),
inference(resolution,[],[f30711,f19759]) ).
fof(f44171,plain,
( v3_realset2(k6_group_6(sK89,sK89))
| v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| ~ spl930_219 ),
inference(superposition,[],[f21195,f33042]) ).
fof(f44172,plain,
( v3_struct_0(sK89)
| ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_193
| ~ spl930_219 ),
inference(forward_subsumption_resolution,[],[f44171,f31592]) ).
fof(f44177,plain,
( ~ v3_group_1(sK89)
| ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_193
| ~ spl930_219 ),
inference(forward_subsumption_resolution,[],[f44172,f19753]) ).
fof(f44182,plain,
( ~ v4_group_1(sK89)
| ~ l1_group_1(sK89)
| spl930_193
| ~ spl930_219 ),
inference(forward_subsumption_resolution,[],[f44177,f19751]) ).
fof(f44187,plain,
( ~ l1_group_1(sK89)
| spl930_193
| ~ spl930_219 ),
inference(forward_subsumption_resolution,[],[f44182,f19750]) ).
fof(f44192,plain,
( $false
| spl930_193
| ~ spl930_219 ),
inference(forward_subsumption_resolution,[],[f44187,f19749]) ).
fof(f44193,plain,
( spl930_193
| ~ spl930_219 ),
inference(avatar_contradiction_clause,[],[f44192]) ).
fof(f44194,plain,
( ~ v3_realset2(k6_group_6(sK89,sK89))
| v3_struct_0(k5_autgroup(sK89))
| ~ v1_group_1(k5_autgroup(sK89))
| ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_96
| spl930_122 ),
inference(forward_subsumption_resolution,[],[f32886,f30716]) ).
fof(f44195,plain,
( v3_struct_0(k5_autgroup(sK89))
| ~ v1_group_1(k5_autgroup(sK89))
| ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44194,f31591]) ).
fof(f44196,plain,
( ~ v1_group_1(k5_autgroup(sK89))
| ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| spl930_42
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44195,f29149]) ).
fof(f44197,plain,
( ~ v3_group_1(k5_autgroup(sK89))
| ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| spl930_42
| ~ spl930_55
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44196,f29303]) ).
fof(f44198,plain,
( ~ v4_group_1(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44197,f29145]) ).
fof(f44199,plain,
( ~ l1_group_1(k5_autgroup(sK89))
| v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44198,f29141]) ).
fof(f44200,plain,
( v3_struct_0(k6_group_6(sK89,sK89))
| ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44199,f29137]) ).
fof(f44201,plain,
( ~ v1_group_1(k6_group_6(sK89,sK89))
| ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| spl930_95
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44200,f30075]) ).
fof(f44202,plain,
( ~ v3_group_1(k6_group_6(sK89,sK89))
| ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_94
| spl930_95
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44201,f30071]) ).
fof(f44203,plain,
( ~ v4_group_1(k6_group_6(sK89,sK89))
| ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_93
| ~ spl930_94
| spl930_95
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44202,f30067]) ).
fof(f44204,plain,
( ~ l1_group_1(k6_group_6(sK89,sK89))
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_92
| ~ spl930_93
| ~ spl930_94
| spl930_95
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44203,f30063]) ).
fof(f44205,plain,
( $false
| ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_91
| ~ spl930_92
| ~ spl930_93
| ~ spl930_94
| spl930_95
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(forward_subsumption_resolution,[],[f44204,f30059]) ).
fof(f44206,plain,
( ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_91
| ~ spl930_92
| ~ spl930_93
| ~ spl930_94
| spl930_95
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(avatar_contradiction_clause,[],[f44205]) ).
fof(f44208,plain,
( ~ v3_realset2(k5_autgroup(sK89))
| v3_struct_0(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89)) ),
inference(forward_subsumption_resolution,[],[f34255,f19760]) ).
fof(f44210,plain,
( v3_struct_0(k5_autgroup(sK89))
| ~ l1_group_1(k5_autgroup(sK89))
| ~ spl930_122 ),
inference(forward_subsumption_resolution,[],[f44208,f30715]) ).
fof(f44212,plain,
( ~ l1_group_1(k5_autgroup(sK89))
| spl930_42
| ~ spl930_122 ),
inference(forward_subsumption_resolution,[],[f44210,f29149]) ).
fof(f44214,plain,
( $false
| ~ spl930_39
| spl930_42
| ~ spl930_122 ),
inference(forward_subsumption_resolution,[],[f44212,f29137]) ).
fof(f44215,plain,
( ~ spl930_39
| spl930_42
| ~ spl930_122 ),
inference(avatar_contradiction_clause,[],[f44214]) ).
cnf(s47,plain,
spl930_55,
inference(sat_conversion,[],[f29488]) ).
cnf(s49,plain,
spl930_39,
inference(sat_conversion,[],[f29533]) ).
cnf(s53,plain,
~ spl930_42,
inference(sat_conversion,[],[f29557]) ).
cnf(s55,plain,
spl930_40,
inference(sat_conversion,[],[f29595]) ).
cnf(s56,plain,
spl930_41,
inference(sat_conversion,[],[f29611]) ).
cnf(s78,plain,
( ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_91
| ~ spl930_92
| ~ spl930_93
| ~ spl930_94
| spl930_95
| spl930_96 ),
inference(sat_conversion,[],[f30081]) ).
cnf(s151,plain,
spl930_91,
inference(sat_conversion,[],[f31508]) ).
cnf(s153,plain,
spl930_92,
inference(sat_conversion,[],[f31522]) ).
cnf(s154,plain,
~ spl930_95,
inference(sat_conversion,[],[f31530]) ).
cnf(s155,plain,
spl930_93,
inference(sat_conversion,[],[f31538]) ).
cnf(s156,plain,
spl930_94,
inference(sat_conversion,[],[f31559]) ).
cnf(s180,plain,
spl930_219,
inference(sat_conversion,[],[f33135]) ).
cnf(s376,plain,
( spl930_193
| ~ spl930_219 ),
inference(sat_conversion,[],[f44193]) ).
cnf(s377,plain,
( ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| ~ spl930_91
| ~ spl930_92
| ~ spl930_93
| ~ spl930_94
| spl930_95
| ~ spl930_96
| spl930_122
| ~ spl930_193 ),
inference(sat_conversion,[],[f44206]) ).
cnf(s378,plain,
( ~ spl930_39
| spl930_42
| ~ spl930_122 ),
inference(sat_conversion,[],[f44215]) ).
cnf(s389,plain,
spl930_193,
inference(rat,[],[s376,s180]) ).
cnf(s402,plain,
( ~ spl930_39
| ~ spl930_40
| ~ spl930_41
| spl930_42
| ~ spl930_55
| spl930_96 ),
inference(rat,[],[s78,s154,s156,s155,s153,s151]) ).
cnf(s406,plain,
~ spl930_122,
inference(rat,[],[s378,s53,s49]) ).
cnf(s411,plain,
~ spl930_96,
inference(rat,[],[s377,s389,s406,s49,s154,s156,s155,s153,s151,s53,s55,s56,s47]) ).
cnf(s428,plain,
$false,
inference(rat,[],[s402,s49,s53,s55,s56,s411,s47]) ).
fof(f44216,plain,
$false,
inference(avatar_sat_refutation,[],[s428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP634+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:12:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.44/3.55 % (2324153)Detected formulas, will run a generic FOF schedule.
% 14.44/3.55 % (2324160)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=3589217355:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 14.44/3.55 % (2324163)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2060160010:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 14.44/3.55 % (2324164)dis-21_1_sil=8000:lcm=predicate:random_seed=824921157:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 14.44/3.55 % (2324161)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1688510452:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 14.44/3.55 % (2324158)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=1617149816:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 14.44/3.55 % (2324159)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=3938225011:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 14.44/3.55 % (2324162)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2005584685:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 14.44/3.55 % (2324163)Instruction limit reached!
% 14.44/3.55 % (2324163)------------------------------
% 14.44/3.55 % (2324163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/3.55 % (2324163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/3.55 % (2324163)CaDiCaL version: 2.1.3
% 14.44/3.55 % (2324163)Termination reason: Instruction limit
% 14.44/3.55 % (2324163)Termination phase: Property scanning
% 14.44/3.55 % (2324163)Time elapsed: 0.058 s
% 14.44/3.55 % (2324163)Peak memory usage: 101 MB
% 14.44/3.55 % (2324163)Instructions burned: 141 (million)
% 14.44/3.55 % (2324161)Refutation not found, incomplete strategy
% 14.44/3.55 % (2324161)------------------------------
% 14.44/3.55 % (2324161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/3.55 % (2324161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/3.55 % (2324161)CaDiCaL version: 2.1.3
% 14.44/3.55 % (2324161)Termination reason: Refutation not found, incomplete strategy
% 14.44/3.55 % (2324161)Time elapsed: 0.061 s
% 14.44/3.55 % (2324161)Peak memory usage: 106 MB
% 14.44/3.55 % (2324161)Instructions burned: 77 (million)
% 14.44/3.55 % (2324164)Instruction limit reached!
% 14.44/3.55 % (2324164)------------------------------
% 14.44/3.55 % (2324164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/3.55 % (2324164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/3.55 % (2324164)CaDiCaL version: 2.1.3
% 14.44/3.55 % (2324164)Termination reason: Instruction limit
% 14.44/3.55 % (2324164)Termination phase: Preprocessing 1
% 14.44/3.55 % (2324164)Time elapsed: 0.096 s
% 14.44/3.55 % (2324164)Peak memory usage: 103 MB
% 14.44/3.55 % (2324164)Instructions burned: 130 (million)
% 14.44/3.55 % (2324162)Instruction limit reached!
% 14.44/3.55 % (2324162)------------------------------
% 14.44/3.55 % (2324162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/3.55 % (2324162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/3.55 % (2324162)CaDiCaL version: 2.1.3
% 14.44/3.55 % (2324162)Termination reason: Instruction limit
% 14.44/3.55 % (2324162)Termination phase: Preprocessing 3
% 14.44/3.55 % (2324162)Time elapsed: 0.099 s
% 14.44/3.55 % (2324162)Peak memory usage: 105 MB
% 14.44/3.55 % (2324162)Instructions burned: 119 (million)
% 14.44/3.55 % (2324172)lrs+10_1_sil=8000:sp=occurrence:random_seed=145081166:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 14.44/3.55 % (2324174)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1152811400:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 14.44/3.55 % (2324173)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2419001615:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 14.44/3.55 % (2324174)Refutation not found, incomplete strategy
% 14.44/3.55 % (2324174)------------------------------
% 14.44/3.55 % (2324174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/3.55 % (2324174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.49 % (2324174)CaDiCaL version: 2.1.3
% 21.36/4.49 % (2324174)Termination reason: Refutation not found, incomplete strategy
% 21.36/4.49 % (2324174)Time elapsed: 0.063 s
% 21.36/4.49 % (2324174)Peak memory usage: 106 MB
% 21.36/4.49 % (2324174)Instructions burned: 76 (million)
% 21.36/4.49 % (2324173)Instruction limit reached!
% 21.36/4.49 % (2324173)------------------------------
% 21.36/4.49 % (2324173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/4.49 % (2324173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.49 % (2324173)CaDiCaL version: 2.1.3
% 21.36/4.49 % (2324173)Termination reason: Instruction limit
% 21.36/4.49 % (2324173)Termination phase: Property scanning
% 21.36/4.49 % (2324173)Time elapsed: 0.068 s
% 21.36/4.49 % (2324173)Peak memory usage: 101 MB
% 21.36/4.49 % (2324173)Instructions burned: 159 (million)
% 21.36/4.49 % (2324161)------------------------------
% 21.36/4.49 % (2324161)------------------------------
% 21.36/4.49 % (2324172)Instruction limit reached!
% 21.36/4.49 % (2324172)------------------------------
% 21.36/4.49 % (2324172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/4.49 % (2324172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.49 % (2324172)CaDiCaL version: 2.1.3
% 21.36/4.49 % (2324172)Termination reason: Instruction limit
% 21.36/4.49 % (2324172)Termination phase: Saturation
% 21.36/4.49 % (2324172)Time elapsed: 0.192 s
% 21.36/4.49 % (2324172)Peak memory usage: 109 MB
% 21.36/4.49 % (2324172)Instructions burned: 285 (million)
% 21.36/4.49 % (2324178)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=2618744740:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 21.36/4.49 % (2324179)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2841356344:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 21.36/4.49 % (2324180)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1730966081:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 21.36/4.49 % (2324174)------------------------------
% 21.36/4.49 % (2324174)------------------------------
% 21.36/4.49 % (2324178)Instruction limit reached!
% 21.36/4.49 % (2324178)------------------------------
% 21.36/4.49 % (2324178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/4.49 % (2324178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.49 % (2324178)CaDiCaL version: 2.1.3
% 21.36/4.49 % (2324178)Termination reason: Instruction limit
% 21.36/4.49 % (2324178)Termination phase: SInE selection
% 21.36/4.49 % (2324178)Time elapsed: 0.132 s
% 21.36/4.49 % (2324178)Peak memory usage: 102 MB
% 21.36/4.49 % (2324178)Instructions burned: 248 (million)
% 21.36/4.49 % (2324179)Instruction limit reached!
% 21.36/4.49 % (2324179)------------------------------
% 21.36/4.49 % (2324179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/4.49 % (2324179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.49 % (2324179)CaDiCaL version: 2.1.3
% 21.36/4.49 % (2324179)Termination reason: Instruction limit
% 21.36/4.49 % (2324179)Termination phase: Saturation
% 21.36/4.49 % (2324179)Time elapsed: 0.187 s
% 21.36/4.49 % (2324179)Peak memory usage: 110 MB
% 21.36/4.49 % (2324179)Instructions burned: 294 (million)
% 21.36/4.49 % (2324184)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2013565748:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 21.36/4.49 % (2324185)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3971950553:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 21.36/4.49 % (2324184)Instruction limit reached!
% 21.36/4.49 % (2324184)------------------------------
% 21.36/4.49 % (2324184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/4.49 % (2324184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.49 % (2324184)CaDiCaL version: 2.1.3
% 21.36/4.49 % (2324184)Termination reason: Instruction limit
% 21.36/4.49 % (2324184)Termination phase: Preprocessing 3
% 21.36/4.49 % (2324184)Time elapsed: 0.096 s
% 21.36/4.49 % (2324184)Peak memory usage: 105 MB
% 21.36/4.49 % (2324184)Instructions burned: 113 (million)
% 21.36/4.49 % (2324186)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3751065019:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 40.20/7.78 % (2324185)Instruction limit reached!
% 40.20/7.78 % (2324185)------------------------------
% 40.20/7.78 % (2324185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324185)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324185)Termination reason: Instruction limit
% 40.20/7.78 % (2324185)Termination phase: Preprocessing 2
% 40.20/7.78 % (2324185)Time elapsed: 0.102 s
% 40.20/7.78 % (2324185)Peak memory usage: 106 MB
% 40.20/7.78 % (2324185)Instructions burned: 127 (million)
% 40.20/7.78 % (2324186)Instruction limit reached!
% 40.20/7.78 % (2324186)------------------------------
% 40.20/7.78 % (2324186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324186)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324186)Termination reason: Instruction limit
% 40.20/7.78 % (2324186)Termination phase: Property scanning
% 40.20/7.78 % (2324186)Time elapsed: 0.049 s
% 40.20/7.78 % (2324186)Peak memory usage: 101 MB
% 40.20/7.78 % (2324186)Instructions burned: 115 (million)
% 40.20/7.78 % (2324189)lrs+10_1_sil=8000:sp=occurrence:random_seed=283011468:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 40.20/7.78 % (2324191)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3095697753:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 40.20/7.78 % (2324192)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4032018415:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 40.20/7.78 % (2324191)Instruction limit reached!
% 40.20/7.78 % (2324191)------------------------------
% 40.20/7.78 % (2324191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324191)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324191)Termination reason: Instruction limit
% 40.20/7.78 % (2324191)Termination phase: Saturation
% 40.20/7.78 % (2324191)Time elapsed: 0.223 s
% 40.20/7.78 % (2324191)Peak memory usage: 107 MB
% 40.20/7.78 % (2324191)Instructions burned: 439 (million)
% 40.20/7.78 % (2324196)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=870386935:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 40.20/7.78 % (2324196)Instruction limit reached!
% 40.20/7.78 % (2324196)------------------------------
% 40.20/7.78 % (2324196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324196)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324196)Termination reason: Instruction limit
% 40.20/7.78 % (2324196)Termination phase: Function definition elimination
% 40.20/7.78 % (2324196)Time elapsed: 0.106 s
% 40.20/7.78 % (2324196)Peak memory usage: 105 MB
% 40.20/7.78 % (2324196)Instructions burned: 135 (million)
% 40.20/7.78 % (2324189)Instruction limit reached!
% 40.20/7.78 % (2324189)------------------------------
% 40.20/7.78 % (2324189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324189)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324189)Termination reason: Instruction limit
% 40.20/7.78 % (2324189)Termination phase: Saturation
% 40.20/7.78 % (2324189)Time elapsed: 0.525 s
% 40.20/7.78 % (2324189)Peak memory usage: 120 MB
% 40.20/7.78 % (2324189)Instructions burned: 907 (million)
% 40.20/7.78 % (2324198)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=446913521:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 40.20/7.78 % (2324199)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1308102650:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 40.20/7.78 % (2324198)Instruction limit reached!
% 40.20/7.78 % (2324198)------------------------------
% 40.20/7.78 % (2324198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324198)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324198)Termination reason: Instruction limit
% 40.20/7.78 % (2324198)Termination phase: Property scanning
% 40.20/7.78 % (2324198)Time elapsed: 0.388 s
% 40.20/7.78 % (2324198)Peak memory usage: 122 MB
% 40.20/7.78 % (2324198)Instructions burned: 593 (million)
% 40.20/7.78 % (2324180)Instruction limit reached!
% 40.20/7.78 % (2324180)------------------------------
% 40.20/7.78 % (2324180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324180)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324180)Termination reason: Instruction limit
% 40.20/7.78 % (2324180)Termination phase: Saturation
% 40.20/7.78 % (2324180)Time elapsed: 1.426 s
% 40.20/7.78 % (2324180)Peak memory usage: 228 MB
% 40.20/7.78 % (2324180)Instructions burned: 2350 (million)
% 40.20/7.78 % (2324202)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=2682766123:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 40.20/7.78 % (2324203)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3870219048:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 40.20/7.78 % (2324202)Instruction limit reached!
% 40.20/7.78 % (2324202)------------------------------
% 40.20/7.78 % (2324202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324202)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324202)Termination reason: Instruction limit
% 40.20/7.78 % (2324202)Termination phase: Property scanning
% 40.20/7.78 % (2324202)Time elapsed: 0.054 s
% 40.20/7.78 % (2324202)Peak memory usage: 101 MB
% 40.20/7.78 % (2324202)Instructions burned: 127 (million)
% 40.20/7.78 % (2324203)Instruction limit reached!
% 40.20/7.78 % (2324203)------------------------------
% 40.20/7.78 % (2324203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324203)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324203)Termination reason: Instruction limit
% 40.20/7.78 % (2324203)Termination phase: Property scanning
% 40.20/7.78 % (2324203)Time elapsed: 0.059 s
% 40.20/7.78 % (2324203)Peak memory usage: 101 MB
% 40.20/7.78 % (2324203)Instructions burned: 136 (million)
% 40.20/7.78 % (2324206)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1330963157:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 40.20/7.78 % (2324207)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2600922874:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 40.20/7.78 % (2324206)Refutation not found, incomplete strategy
% 40.20/7.78 % (2324206)------------------------------
% 40.20/7.78 % (2324206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324206)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324206)Termination reason: Refutation not found, incomplete strategy
% 40.20/7.78 % (2324206)Time elapsed: 0.063 s
% 40.20/7.78 % (2324206)Peak memory usage: 106 MB
% 40.20/7.78 % (2324206)Instructions burned: 73 (million)
% 40.20/7.78 % (2324207)Refutation not found, incomplete strategy
% 40.20/7.78 % (2324207)------------------------------
% 40.20/7.78 % (2324207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324207)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324207)Termination reason: Refutation not found, incomplete strategy
% 40.20/7.78 % (2324207)Time elapsed: 0.062 s
% 40.20/7.78 % (2324207)Peak memory usage: 106 MB
% 40.20/7.78 % (2324207)Instructions burned: 72 (million)
% 40.20/7.78 % (2324206)------------------------------
% 40.20/7.78 % (2324206)------------------------------
% 40.20/7.78 % (2324207)------------------------------
% 40.20/7.78 % (2324207)------------------------------
% 40.20/7.78 % (2324210)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=3058743788:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 40.20/7.78 % (2324211)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=2847165896:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 40.20/7.78 % (2324211)Instruction limit reached!
% 40.20/7.78 % (2324211)------------------------------
% 40.20/7.78 % (2324211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324211)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324211)Termination reason: Instruction limit
% 40.20/7.78 % (2324211)Termination phase: Preprocessing 1
% 40.20/7.78 % (2324211)Time elapsed: 0.113 s
% 40.20/7.78 % (2324211)Peak memory usage: 102 MB
% 40.20/7.78 % (2324211)Instructions burned: 151 (million)
% 40.20/7.78 % (2324214)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3601029281:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 40.20/7.78 % (2324192)Instruction limit reached!
% 40.20/7.78 % (2324192)------------------------------
% 40.20/7.78 % (2324192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324192)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324192)Termination reason: Instruction limit
% 40.20/7.78 % (2324192)Termination phase: Saturation
% 40.20/7.78 % (2324192)Time elapsed: 3.560 s
% 40.20/7.78 % (2324192)Peak memory usage: 416 MB
% 40.20/7.78 % (2324192)Instructions burned: 5204 (million)
% 40.20/7.78 % (2324216)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1329489320:i=667:av=off:fsr=off_2946 on theBenchmark for (2946ds/667Mi)
% 40.20/7.78 % (2324216)Instruction limit reached!
% 40.20/7.78 % (2324216)------------------------------
% 40.20/7.78 % (2324216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324216)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324216)Termination reason: Instruction limit
% 40.20/7.78 % (2324216)Termination phase: NewCNF
% 40.20/7.78 % (2324216)Time elapsed: 0.488 s
% 40.20/7.78 % (2324216)Peak memory usage: 133 MB
% 40.20/7.78 % (2324216)Instructions burned: 667 (million)
% 40.20/7.78 % (2324218)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3509088233:s2a=on:i=185:s2at=1.8:fdi=4_2940 on theBenchmark for (2940ds/185Mi)
% 40.20/7.78 % (2324218)Instruction limit reached!
% 40.20/7.78 % (2324218)------------------------------
% 40.20/7.78 % (2324218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324218)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324218)Termination reason: Instruction limit
% 40.20/7.78 % (2324218)Termination phase: Preprocessing 1
% 40.20/7.78 % (2324218)Time elapsed: 0.146 s
% 40.20/7.78 % (2324218)Peak memory usage: 102 MB
% 40.20/7.78 % (2324218)Instructions burned: 186 (million)
% 40.20/7.78 % (2324220)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2706452837:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2937 on theBenchmark for (2937ds/193Mi)
% 40.20/7.78 % (2324199)First to succeed.
% 40.20/7.78 % (2324199)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2324153"
% 40.20/7.78 % (2324220)Instruction limit reached!
% 40.20/7.78 % (2324220)------------------------------
% 40.20/7.78 % (2324220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.20/7.78 % (2324220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.20/7.78 % (2324220)CaDiCaL version: 2.1.3
% 40.20/7.78 % (2324220)Termination reason: Instruction limit
% 40.20/7.78 % (2324220)Termination phase: Preprocessing 3
% 40.20/7.78 % (2324220)Time elapsed: 0.165 s
% 40.20/7.78 % (2324220)Peak memory usage: 105 MB
% 40.20/7.78 % (2324220)Instructions burned: 194 (million)
% 40.20/7.78 % (2324222)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3896585727:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2934 on theBenchmark for (2934ds/4850Mi)
% 40.20/7.78 % (2324199)Refutation found. Thanks to Tanya!
% 40.20/7.78 % SZS status Theorem for theBenchmark
% 40.20/7.78 % SZS output start Proof for theBenchmark
% See solution above
% 45.65/7.97 % (2324199)------------------------------
% 45.65/7.97 % (2324199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.65/7.97 % (2324199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.65/7.97 % (2324199)CaDiCaL version: 2.1.3
% 45.65/7.97 % (2324199)Termination reason: Refutation
% 45.65/7.97 % (2324199)Time elapsed: 4.232 s
% 45.65/7.97 % (2324199)Peak memory usage: 240 MB
% 45.65/7.97 % (2324199)Instructions burned: 6740 (million)
% 45.65/7.97 % (2324199)------------------------------
% 45.65/7.97 % (2324199)------------------------------
% 45.65/7.97 % (2324153)Success in time 6.927 s
% 45.65/7.97 % Vampire exiting
%------------------------------------------------------------------------------