%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT294+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 : 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 11:46:37 AM UTC 2026
% Result : Theorem 5.44s 3.14s
% Output : Refutation 12.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 138 ( 35 unt; 8 def)
% Number of atoms : 897 ( 24 equ)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 1371 ( 612 ~; 623 |; 100 &)
% ( 11 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn 131 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2323,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ( r6_binop_1(X0,X1,X2)
<=> ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_binop_1) ).
fof(f13577,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
=> ( ( X4 = k1_realset1(X2,X1)
& X5 = k1_realset1(X3,X1) )
=> ( ( r4_binop_1(X0,X2,X3)
=> r4_binop_1(X1,X4,X5) )
& ( r5_binop_1(X0,X2,X3)
=> r5_binop_1(X1,X4,X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_filter_2) ).
fof(f13578,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
=> ( ( X4 = k1_realset1(X2,X1)
& X5 = k1_realset1(X3,X1)
& r6_binop_1(X0,X2,X3) )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_filter_2) ).
fof(f13579,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
=> ( ( X4 = k1_realset1(X2,X1)
& X5 = k1_realset1(X3,X1)
& r6_binop_1(X0,X2,X3) )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13578]) ).
fof(f13711,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) )
& ( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3) ) )
| k1_realset1(X2,X1) != X4
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f13577]) ).
fof(f13712,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) )
& ( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3) ) )
| k1_realset1(X2,X1) != X4
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f13711]) ).
fof(f13713,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& X4 = k1_realset1(X2,X1)
& X5 = k1_realset1(X3,X1)
& r6_binop_1(X0,X2,X3)
& v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f13579]) ).
fof(f13714,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& X4 = k1_realset1(X2,X1)
& X5 = k1_realset1(X3,X1)
& r6_binop_1(X0,X2,X3)
& v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f13713]) ).
fof(f13949,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_binop_1(X0,X1,X2)
<=> ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f2323]) ).
fof(f13950,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_binop_1(X0,X1,X2)
<=> ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f13949]) ).
fof(f13985,plain,
( ~ r6_binop_1(sK3,sK6,sK7)
& sK6 = k1_realset1(sK4,sK3)
& sK7 = k1_realset1(sK5,sK3)
& r6_binop_1(sK2,sK4,sK5)
& v1_funct_1(sK7)
& v1_funct_2(sK7,k2_zfmisc_1(sK3,sK3),sK3)
& m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(sK6)
& v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
& m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(sK5)
& v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2)
& m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(sK4)
& v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
& m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK3,k1_zfmisc_1(sK2))
& ~ v1_xboole_0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7)],[f13714]) ).
fof(f14093,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r6_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2) )
& ( ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(nnf_transformation,[],[f13950]) ).
fof(f14094,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r6_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2) )
& ( ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f14093]) ).
fof(f14176,plain,
! [X2,X3,X0,X1,X4,X5] :
( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13712]) ).
fof(f14177,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13712]) ).
fof(f14178,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f13985]) ).
fof(f14179,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK2)),
inference(cnf_transformation,[],[f13985]) ).
fof(f14180,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f13985]) ).
fof(f14181,plain,
m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f13985]) ).
fof(f14182,plain,
v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f13985]) ).
fof(f14183,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f13985]) ).
fof(f14184,plain,
m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f13985]) ).
fof(f14185,plain,
v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f13985]) ).
fof(f14186,plain,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f13985]) ).
fof(f14187,plain,
m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f13985]) ).
fof(f14188,plain,
v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f13985]) ).
fof(f14189,plain,
v1_funct_1(sK6),
inference(cnf_transformation,[],[f13985]) ).
fof(f14190,plain,
m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f13985]) ).
fof(f14191,plain,
v1_funct_2(sK7,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f13985]) ).
fof(f14192,plain,
v1_funct_1(sK7),
inference(cnf_transformation,[],[f13985]) ).
fof(f14193,plain,
r6_binop_1(sK2,sK4,sK5),
inference(cnf_transformation,[],[f13985]) ).
fof(f14194,plain,
sK7 = k1_realset1(sK5,sK3),
inference(cnf_transformation,[],[f13985]) ).
fof(f14195,plain,
sK6 = k1_realset1(sK4,sK3),
inference(cnf_transformation,[],[f13985]) ).
fof(f14196,plain,
~ r6_binop_1(sK3,sK6,sK7),
inference(cnf_transformation,[],[f13985]) ).
fof(f14476,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(X0,X1,X2)
| ~ v1_funct_1(X2)
| r5_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f14094]) ).
fof(f14477,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(X0,X1,X2)
| ~ v1_funct_1(X2)
| r4_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f14094]) ).
fof(f14478,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ v1_funct_1(X2)
| r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f14094]) ).
fof(f14532,plain,
! [X2,X3,X0,X1,X5] :
( r4_binop_1(X1,k1_realset1(X2,X1),X5)
| ~ r4_binop_1(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f14177]) ).
fof(f14533,plain,
! [X2,X3,X0,X1] :
( r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r4_binop_1(X0,X2,X3)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f14532]) ).
fof(f14534,plain,
! [X2,X3,X0,X1,X5] :
( r5_binop_1(X1,k1_realset1(X2,X1),X5)
| ~ r5_binop_1(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f14176]) ).
fof(f14535,plain,
! [X2,X3,X0,X1] :
( r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r5_binop_1(X0,X2,X3)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f14534]) ).
fof(f14685,plain,
! [X0,X1] :
( r4_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r4_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(sK6)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(superposition,[],[f14533,f14195]) ).
fof(f14687,plain,
! [X0,X1] :
( r5_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r5_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(sK6)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(superposition,[],[f14535,f14195]) ).
fof(f14690,plain,
! [X0,X1] :
( r5_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r5_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f14687,f14189]) ).
fof(f14692,plain,
! [X0,X1] :
( r4_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r4_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f14685,f14189]) ).
fof(f14708,plain,
! [X0,X1] :
( r5_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r5_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f14690,f14183]) ).
fof(f14710,plain,
! [X0,X1] :
( r4_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r4_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f14692,f14183]) ).
fof(f14719,plain,
! [X0,X1] :
( r5_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r5_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f14708,f14180]) ).
fof(f14721,plain,
! [X0,X1] :
( r4_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ r4_binop_1(X1,sK4,X0)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f14710,f14180]) ).
fof(f14729,definition,
( spl73_20
<=> m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl73_20])],[avatar_definition]) ).
fof(f14730,plain,
( ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| spl73_20 ),
inference(avatar_component_clause,[],[f14729]) ).
fof(f14732,definition,
( spl73_21
<=> v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl73_21])],[avatar_definition]) ).
fof(f14733,plain,
( ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| spl73_21 ),
inference(avatar_component_clause,[],[f14732]) ).
fof(f14739,definition,
( spl73_23
<=> ! [X0,X1] :
( r5_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| v1_xboole_0(X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ r5_binop_1(X1,sK4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl73_23])],[avatar_definition]) ).
fof(f14740,plain,
( ! [X0,X1] :
( ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ r5_binop_1(X1,sK4,X0) )
| ~ spl73_23 ),
inference(avatar_component_clause,[],[f14739]) ).
fof(f14741,plain,
( ~ spl73_20
| ~ spl73_21
| spl73_23 ),
inference(avatar_split_clause,[],[f14719,f14739,f14732,f14729]) ).
fof(f14747,definition,
( spl73_25
<=> ! [X0,X1] :
( r4_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| v1_xboole_0(X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ r4_binop_1(X1,sK4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl73_25])],[avatar_definition]) ).
fof(f14748,plain,
( ! [X0,X1] :
( ~ v1_funct_2(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(k1_realset1(X0,sK3),k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK6,k1_realset1(X0,sK3))
| ~ v1_funct_1(k1_realset1(X0,sK3))
| ~ r4_binop_1(X1,sK4,X0) )
| ~ spl73_25 ),
inference(avatar_component_clause,[],[f14747]) ).
fof(f14749,plain,
( ~ spl73_20
| ~ spl73_21
| spl73_25 ),
inference(avatar_split_clause,[],[f14721,f14747,f14732,f14729]) ).
fof(f15059,plain,
! [X0] :
( ~ r6_binop_1(sK2,X0,sK5)
| ~ v1_funct_1(sK5)
| r5_binop_1(sK2,X0,sK5)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(resolution,[],[f14185,f14476]) ).
fof(f15060,plain,
! [X0] :
( ~ r6_binop_1(sK2,X0,sK5)
| ~ v1_funct_1(sK5)
| r4_binop_1(sK2,X0,sK5)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(resolution,[],[f14185,f14477]) ).
fof(f15067,plain,
! [X0] :
( ~ r6_binop_1(sK2,X0,sK5)
| r4_binop_1(sK2,X0,sK5)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f15060,f14186]) ).
fof(f15068,plain,
! [X0] :
( ~ r6_binop_1(sK2,X0,sK5)
| r5_binop_1(sK2,X0,sK5)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f15059,f14186]) ).
fof(f15104,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK2,sK2),sK2)
| r4_binop_1(sK2,X0,sK5)
| ~ v1_funct_1(X0)
| ~ r6_binop_1(sK2,X0,sK5)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f15067,f14184]) ).
fof(f15105,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK2,sK2),sK2)
| r5_binop_1(sK2,X0,sK5)
| ~ v1_funct_1(X0)
| ~ r6_binop_1(sK2,X0,sK5)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f15068,f14184]) ).
fof(f15534,plain,
! [X0] :
( ~ r4_binop_1(sK3,X0,sK7)
| ~ r5_binop_1(sK3,X0,sK7)
| ~ v1_funct_1(sK7)
| r6_binop_1(sK3,X0,sK7)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(resolution,[],[f14191,f14478]) ).
fof(f15539,plain,
! [X0] :
( ~ r4_binop_1(sK3,X0,sK7)
| ~ r5_binop_1(sK3,X0,sK7)
| r6_binop_1(sK3,X0,sK7)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(forward_subsumption_resolution,[],[f15534,f14192]) ).
fof(f15576,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK3,sK3),sK3)
| ~ r5_binop_1(sK3,X0,sK7)
| r6_binop_1(sK3,X0,sK7)
| ~ v1_funct_1(X0)
| ~ r4_binop_1(sK3,X0,sK7)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(forward_subsumption_resolution,[],[f15539,f14190]) ).
fof(f15737,plain,
( $false
| spl73_20 ),
inference(forward_subsumption_resolution,[],[f14730,f14187]) ).
fof(f15738,plain,
spl73_20,
inference(avatar_contradiction_clause,[],[f15737]) ).
fof(f15739,plain,
( $false
| spl73_21 ),
inference(forward_subsumption_resolution,[],[f14733,f14188]) ).
fof(f15740,plain,
spl73_21,
inference(avatar_contradiction_clause,[],[f15739]) ).
fof(f16046,plain,
( r4_binop_1(sK2,sK4,sK5)
| ~ v1_funct_1(sK4)
| ~ r6_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(resolution,[],[f15104,f14182]) ).
fof(f16057,plain,
( r5_binop_1(sK2,sK4,sK5)
| ~ v1_funct_1(sK4)
| ~ r6_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(resolution,[],[f15105,f14182]) ).
fof(f16233,plain,
( ~ r5_binop_1(sK3,sK6,sK7)
| r6_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK6)
| ~ r4_binop_1(sK3,sK6,sK7)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(resolution,[],[f15576,f14188]) ).
fof(f16382,plain,
( ! [X0] :
( ~ v1_funct_2(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r5_binop_1(X0,sK4,sK5) )
| ~ spl73_23 ),
inference(superposition,[],[f14740,f14194]) ).
fof(f16386,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r5_binop_1(X0,sK4,sK5) )
| ~ spl73_23 ),
inference(forward_subsumption_resolution,[],[f16382,f14191]) ).
fof(f16388,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r5_binop_1(X0,sK4,sK5) )
| ~ spl73_23 ),
inference(forward_subsumption_resolution,[],[f16386,f14186]) ).
fof(f16390,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r5_binop_1(X0,sK4,sK5) )
| ~ spl73_23 ),
inference(forward_subsumption_resolution,[],[f16388,f14190]) ).
fof(f16426,plain,
( ! [X0] :
( ~ v1_funct_2(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r4_binop_1(X0,sK4,sK5) )
| ~ spl73_25 ),
inference(superposition,[],[f14748,f14194]) ).
fof(f16430,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r4_binop_1(X0,sK4,sK5) )
| ~ spl73_25 ),
inference(forward_subsumption_resolution,[],[f16426,f14191]) ).
fof(f16432,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r4_binop_1(X0,sK4,sK5) )
| ~ spl73_25 ),
inference(forward_subsumption_resolution,[],[f16430,f14186]) ).
fof(f16434,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK7)
| ~ r4_binop_1(X0,sK4,sK5) )
| ~ spl73_25 ),
inference(forward_subsumption_resolution,[],[f16432,f14190]) ).
fof(f16494,plain,
( r5_binop_1(sK2,sK4,sK5)
| ~ r6_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f16057,f14183]) ).
fof(f16496,plain,
( r5_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f16494,f14193]) ).
fof(f16498,plain,
r5_binop_1(sK2,sK4,sK5),
inference(forward_subsumption_resolution,[],[f16496,f14181]) ).
fof(f16510,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(sK3,sK6,sK7)
| ~ r5_binop_1(X0,sK4,sK5) )
| ~ spl73_23 ),
inference(forward_subsumption_resolution,[],[f16390,f14192]) ).
fof(f16514,definition,
( spl73_183
<=> r5_binop_1(sK3,sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl73_183])],[avatar_definition]) ).
fof(f16515,plain,
( r5_binop_1(sK3,sK6,sK7)
| ~ spl73_183 ),
inference(avatar_component_clause,[],[f16514]) ).
fof(f16517,definition,
( spl73_184
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r5_binop_1(X0,sK4,sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl73_184])],[avatar_definition]) ).
fof(f16518,plain,
( ! [X0] :
( ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,sK4,sK5)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0)) )
| ~ spl73_184 ),
inference(avatar_component_clause,[],[f16517]) ).
fof(f16525,plain,
( spl73_183
| spl73_184
| ~ spl73_23 ),
inference(avatar_split_clause,[],[f16510,f14739,f16517,f16514]) ).
fof(f16535,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(sK3,sK6,sK7)
| ~ r4_binop_1(X0,sK4,sK5) )
| ~ spl73_25 ),
inference(forward_subsumption_resolution,[],[f16434,f14192]) ).
fof(f16537,plain,
( r6_binop_1(sK3,sK6,sK7)
| ~ v1_funct_1(sK6)
| ~ r4_binop_1(sK3,sK6,sK7)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl73_183 ),
inference(forward_subsumption_resolution,[],[f16233,f16515]) ).
fof(f16541,definition,
( spl73_186
<=> r4_binop_1(sK3,sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl73_186])],[avatar_definition]) ).
fof(f16544,definition,
( spl73_187
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK4,sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl73_187])],[avatar_definition]) ).
fof(f16545,plain,
( ! [X0] :
( ~ v1_funct_2(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,sK4,sK5)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK4,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0)) )
| ~ spl73_187 ),
inference(avatar_component_clause,[],[f16544]) ).
fof(f16552,plain,
( spl73_186
| spl73_187
| ~ spl73_25 ),
inference(avatar_split_clause,[],[f16535,f14747,f16544,f16541]) ).
fof(f16554,plain,
( ~ v1_funct_1(sK6)
| ~ r4_binop_1(sK3,sK6,sK7)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl73_183 ),
inference(forward_subsumption_resolution,[],[f16537,f14196]) ).
fof(f16558,plain,
( ~ r4_binop_1(sK3,sK6,sK7)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl73_183 ),
inference(forward_subsumption_resolution,[],[f16554,f14189]) ).
fof(f16560,plain,
( ~ r4_binop_1(sK3,sK6,sK7)
| ~ spl73_183 ),
inference(forward_subsumption_resolution,[],[f16558,f14187]) ).
fof(f16585,plain,
( ~ r5_binop_1(sK2,sK4,sK5)
| v1_xboole_0(sK2)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_184 ),
inference(resolution,[],[f16518,f14185]) ).
fof(f16588,plain,
( v1_xboole_0(sK2)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_184 ),
inference(forward_subsumption_resolution,[],[f16585,f16498]) ).
fof(f16589,plain,
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_184 ),
inference(forward_subsumption_resolution,[],[f16588,f14178]) ).
fof(f16590,plain,
( ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_184 ),
inference(forward_subsumption_resolution,[],[f16589,f14184]) ).
fof(f16591,plain,
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_184 ),
inference(forward_subsumption_resolution,[],[f16590,f14182]) ).
fof(f16592,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_184 ),
inference(forward_subsumption_resolution,[],[f16591,f14181]) ).
fof(f16593,plain,
( $false
| ~ spl73_184 ),
inference(forward_subsumption_resolution,[],[f16592,f14179]) ).
fof(f16594,plain,
~ spl73_184,
inference(avatar_contradiction_clause,[],[f16593]) ).
fof(f16599,plain,
( ~ spl73_186
| ~ spl73_183 ),
inference(avatar_split_clause,[],[f16560,f16514,f16541]) ).
fof(f16600,plain,
( ~ r4_binop_1(sK2,sK4,sK5)
| v1_xboole_0(sK2)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_187 ),
inference(resolution,[],[f16545,f14185]) ).
fof(f16611,plain,
( r4_binop_1(sK2,sK4,sK5)
| ~ r6_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f16046,f14183]) ).
fof(f16612,plain,
( ~ r4_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_187 ),
inference(forward_subsumption_resolution,[],[f16600,f14178]) ).
fof(f16614,plain,
( r4_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f16611,f14193]) ).
fof(f16615,plain,
( ~ r4_binop_1(sK2,sK4,sK5)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_187 ),
inference(forward_subsumption_resolution,[],[f16612,f14184]) ).
fof(f16617,plain,
r4_binop_1(sK2,sK4,sK5),
inference(forward_subsumption_resolution,[],[f16614,f14181]) ).
fof(f16618,plain,
( ~ r4_binop_1(sK2,sK4,sK5)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_187 ),
inference(forward_subsumption_resolution,[],[f16615,f14182]) ).
fof(f16619,plain,
( ~ r4_binop_1(sK2,sK4,sK5)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK2))
| ~ spl73_187 ),
inference(forward_subsumption_resolution,[],[f16618,f14181]) ).
fof(f16620,plain,
( ~ r4_binop_1(sK2,sK4,sK5)
| ~ spl73_187 ),
inference(forward_subsumption_resolution,[],[f16619,f14179]) ).
fof(f16700,plain,
( $false
| ~ spl73_187 ),
inference(forward_subsumption_resolution,[],[f16620,f16617]) ).
fof(f16701,plain,
~ spl73_187,
inference(avatar_contradiction_clause,[],[f16700]) ).
cnf(s16,plain,
( ~ spl73_20
| ~ spl73_21
| spl73_23 ),
inference(sat_conversion,[],[f14741]) ).
cnf(s18,plain,
( ~ spl73_20
| ~ spl73_21
| spl73_25 ),
inference(sat_conversion,[],[f14749]) ).
cnf(s131,plain,
spl73_20,
inference(sat_conversion,[],[f15738]) ).
cnf(s132,plain,
spl73_21,
inference(sat_conversion,[],[f15740]) ).
cnf(s161,plain,
( ~ spl73_23
| spl73_183
| spl73_184 ),
inference(sat_conversion,[],[f16525]) ).
cnf(s166,plain,
( ~ spl73_25
| spl73_186
| spl73_187 ),
inference(sat_conversion,[],[f16552]) ).
cnf(s172,plain,
~ spl73_184,
inference(sat_conversion,[],[f16594]) ).
cnf(s174,plain,
( ~ spl73_183
| ~ spl73_186 ),
inference(sat_conversion,[],[f16599]) ).
cnf(s177,plain,
~ spl73_187,
inference(sat_conversion,[],[f16701]) ).
cnf(s178,plain,
( ~ spl73_25
| spl73_186 ),
inference(rat,[],[s166,s177]) ).
cnf(s180,plain,
( ~ spl73_23
| spl73_183 ),
inference(rat,[],[s161,s172]) ).
cnf(s188,plain,
spl73_25,
inference(rat,[],[s18,s132,s131]) ).
cnf(s189,plain,
spl73_186,
inference(rat,[],[s178,s188]) ).
cnf(s190,plain,
~ spl73_183,
inference(rat,[],[s174,s189]) ).
cnf(s192,plain,
~ spl73_23,
inference(rat,[],[s180,s190]) ).
cnf(s199,plain,
$false,
inference(rat,[],[s16,s192,s132,s131]) ).
fof(f16702,plain,
$false,
inference(avatar_sat_refutation,[],[s199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT294+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 14:18:12 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 5.44/3.14 % (1455076)Detected formulas, will run a generic FOF schedule.
% 5.44/3.14 % (1455083)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=3818227289:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 5.44/3.14 % (1455081)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=530126686:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 5.44/3.14 % (1455082)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=4224545661:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 5.44/3.14 % (1455084)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4071208061:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 5.44/3.14 % (1455085)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3639370294:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 5.44/3.14 % (1455086)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3353095693:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 5.44/3.14 % (1455087)dis-21_1_sil=8000:lcm=predicate:random_seed=3168065536: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)
% 5.44/3.14 % (1455086)Instruction limit reached!
% 5.44/3.14 % (1455086)------------------------------
% 5.44/3.14 % (1455086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455086)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455086)Termination reason: Instruction limit
% 5.44/3.14 % (1455086)Termination phase: Property scanning
% 5.44/3.14 % (1455086)Time elapsed: 0.060 s
% 5.44/3.14 % (1455086)Peak memory usage: 102 MB
% 5.44/3.14 % (1455086)Instructions burned: 141 (million)
% 5.44/3.14 % (1455084)Refutation not found, incomplete strategy
% 5.44/3.14 % (1455084)------------------------------
% 5.44/3.14 % (1455084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455084)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455084)Termination reason: Refutation not found, incomplete strategy
% 5.44/3.14 % (1455084)Time elapsed: 0.079 s
% 5.44/3.14 % (1455084)Peak memory usage: 107 MB
% 5.44/3.14 % (1455084)Instructions burned: 102 (million)
% 5.44/3.14 % (1455085)Instruction limit reached!
% 5.44/3.14 % (1455085)------------------------------
% 5.44/3.14 % (1455085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455085)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455085)Termination reason: Instruction limit
% 5.44/3.14 % (1455085)Termination phase: Function definition elimination
% 5.44/3.14 % (1455085)Time elapsed: 0.091 s
% 5.44/3.14 % (1455085)Peak memory usage: 105 MB
% 5.44/3.14 % (1455085)Instructions burned: 120 (million)
% 5.44/3.14 % (1455087)Instruction limit reached!
% 5.44/3.14 % (1455087)------------------------------
% 5.44/3.14 % (1455087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455087)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455087)Termination reason: Instruction limit
% 5.44/3.14 % (1455087)Termination phase: Preprocessing 1
% 5.44/3.14 % (1455087)Time elapsed: 0.100 s
% 5.44/3.14 % (1455087)Peak memory usage: 104 MB
% 5.44/3.14 % (1455087)Instructions burned: 130 (million)
% 5.44/3.14 % (1455095)lrs+10_1_sil=8000:sp=occurrence:random_seed=1105380356:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 5.44/3.14 % (1455096)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2222052503:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 5.44/3.14 % (1455097)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3879569137:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 5.44/3.14 % (1455084)------------------------------
% 5.44/3.14 % (1455084)------------------------------
% 5.44/3.14 % (1455096)Instruction limit reached!
% 5.44/3.14 % (1455096)------------------------------
% 5.44/3.14 % (1455096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455096)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455096)Termination reason: Instruction limit
% 5.44/3.14 % (1455096)Termination phase: Property scanning
% 5.44/3.14 % (1455096)Time elapsed: 0.068 s
% 5.44/3.14 % (1455096)Peak memory usage: 102 MB
% 5.44/3.14 % (1455096)Instructions burned: 158 (million)
% 5.44/3.14 % (1455095)Instruction limit reached!
% 5.44/3.14 % (1455095)------------------------------
% 5.44/3.14 % (1455095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455095)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455095)Termination reason: Instruction limit
% 5.44/3.14 % (1455095)Termination phase: Saturation
% 5.44/3.14 % (1455095)Time elapsed: 0.203 s
% 5.44/3.14 % (1455095)Peak memory usage: 111 MB
% 5.44/3.14 % (1455095)Instructions burned: 285 (million)
% 5.44/3.14 % (1455101)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=3103517813:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 5.44/3.14 % (1455102)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1299081878:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 5.44/3.14 % (1455097)Instruction limit reached!
% 5.44/3.14 % (1455097)------------------------------
% 5.44/3.14 % (1455097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455097)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455097)Termination reason: Instruction limit
% 5.44/3.14 % (1455097)Termination phase: Saturation
% 5.44/3.14 % (1455097)Time elapsed: 0.215 s
% 5.44/3.14 % (1455097)Peak memory usage: 109 MB
% 5.44/3.14 % (1455097)Instructions burned: 326 (million)
% 5.44/3.14 % (1455103)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1375971167:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 5.44/3.14 % (1455101)Instruction limit reached!
% 5.44/3.14 % (1455101)------------------------------
% 5.44/3.14 % (1455101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455101)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455101)Termination reason: Instruction limit
% 5.44/3.14 % (1455101)Termination phase: SInE selection
% 5.44/3.14 % (1455101)Time elapsed: 0.129 s
% 5.44/3.14 % (1455101)Peak memory usage: 103 MB
% 5.44/3.14 % (1455101)Instructions burned: 248 (million)
% 5.44/3.14 % (1455102)Instruction limit reached!
% 5.44/3.14 % (1455102)------------------------------
% 5.44/3.14 % (1455102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455102)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455102)Termination reason: Instruction limit
% 5.44/3.14 % (1455102)Termination phase: Saturation
% 5.44/3.14 % (1455102)Time elapsed: 0.186 s
% 5.44/3.14 % (1455102)Peak memory usage: 110 MB
% 5.44/3.14 % (1455102)Instructions burned: 295 (million)
% 5.44/3.14 % (1455106)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=940300702:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 5.44/3.14 % (1455106)Instruction limit reached!
% 5.44/3.14 % (1455106)------------------------------
% 5.44/3.14 % (1455106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455106)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455106)Termination reason: Instruction limit
% 5.44/3.14 % (1455106)Termination phase: Preprocessing 3
% 5.44/3.14 % (1455106)Time elapsed: 0.093 s
% 5.44/3.14 % (1455106)Peak memory usage: 105 MB
% 5.44/3.14 % (1455106)Instructions burned: 113 (million)
% 5.44/3.14 % (1455108)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=347727091:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 5.44/3.14 % (1455110)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4205105396:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 5.44/3.14 % (1455108)Instruction limit reached!
% 5.44/3.14 % (1455108)------------------------------
% 5.44/3.14 % (1455108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455108)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455108)Termination reason: Instruction limit
% 5.44/3.14 % (1455108)Termination phase: Preprocessing 2
% 5.44/3.14 % (1455108)Time elapsed: 0.103 s
% 5.44/3.14 % (1455108)Peak memory usage: 106 MB
% 5.44/3.14 % (1455108)Instructions burned: 127 (million)
% 5.44/3.14 % (1455110)Instruction limit reached!
% 5.44/3.14 % (1455110)------------------------------
% 5.44/3.14 % (1455110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/3.14 % (1455110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/3.14 % (1455110)CaDiCaL version: 2.1.3
% 5.44/3.14 % (1455110)Termination reason: Instruction limit
% 5.44/3.14 % (1455110)Termination phase: Property scanning
% 5.44/3.14 % (1455110)Time elapsed: 0.049 s
% 5.44/3.14 % (1455110)Peak memory usage: 102 MB
% 5.44/3.14 % (1455110)Instructions burned: 116 (million)
% 5.44/3.14 % (1455112)lrs+10_1_sil=8000:sp=occurrence:random_seed=2788328130:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 5.44/3.14 % (1455114)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=833666631:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 5.44/3.14 % (1455115)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=159527082:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 5.44/3.14 % (1455114)First to succeed.
% 5.44/3.14 % (1455114)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1455076"
% 5.44/3.14 % (1455114)Refutation found. Thanks to Tanya!
% 5.44/3.14 % SZS status Theorem for theBenchmark
% 5.44/3.14 % SZS output start Proof for theBenchmark
% See solution above
% 12.74/3.34 % (1455114)------------------------------
% 12.74/3.34 % (1455114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.34 % (1455114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.34 % (1455114)CaDiCaL version: 2.1.3
% 12.74/3.34 % (1455114)Termination reason: Refutation
% 12.74/3.34 % (1455114)Time elapsed: 0.137 s
% 12.74/3.34 % (1455114)Peak memory usage: 109 MB
% 12.74/3.34 % (1455114)Instructions burned: 211 (million)
% 12.74/3.34 % (1455114)------------------------------
% 12.74/3.34 % (1455114)------------------------------
% 12.74/3.34 % (1455076)Success in time 2.295 s
% 12.74/3.34 % Vampire exiting
%------------------------------------------------------------------------------