%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT294+4 : 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 11:46:37 AM UTC 2026
% Result : Theorem 19.82s 5.59s
% Output : Refutation 20.56s
% 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(f2412,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(f34652,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(f34653,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(f34654,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)],[f34653]) ).
fof(f34787,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,[],[f34652]) ).
fof(f34788,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,[],[f34787]) ).
fof(f34789,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,[],[f34654]) ).
fof(f34790,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,[],[f34789]) ).
fof(f35034,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,[],[f2412]) ).
fof(f35035,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,[],[f35034]) ).
fof(f35064,plain,
( ~ r6_binop_1(sK7,sK10,sK11)
& sK10 = k1_realset1(sK8,sK7)
& sK11 = k1_realset1(sK9,sK7)
& r6_binop_1(sK6,sK8,sK9)
& v1_funct_1(sK11)
& v1_funct_2(sK11,k2_zfmisc_1(sK7,sK7),sK7)
& m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
& v1_funct_1(sK10)
& v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
& m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
& v1_funct_1(sK9)
& v1_funct_2(sK9,k2_zfmisc_1(sK6,sK6),sK6)
& m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
& v1_funct_1(sK8)
& v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
& m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
& ~ v1_xboole_0(sK7)
& m1_subset_1(sK7,k1_zfmisc_1(sK6))
& ~ v1_xboole_0(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11)],[f34790]) ).
fof(f35191,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,[],[f35035]) ).
fof(f35192,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,[],[f35191]) ).
fof(f35274,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,[],[f34788]) ).
fof(f35275,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,[],[f34788]) ).
fof(f35276,plain,
~ v1_xboole_0(sK6),
inference(cnf_transformation,[],[f35064]) ).
fof(f35277,plain,
m1_subset_1(sK7,k1_zfmisc_1(sK6)),
inference(cnf_transformation,[],[f35064]) ).
fof(f35278,plain,
~ v1_xboole_0(sK7),
inference(cnf_transformation,[],[f35064]) ).
fof(f35279,plain,
m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6),
inference(cnf_transformation,[],[f35064]) ).
fof(f35280,plain,
v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6),
inference(cnf_transformation,[],[f35064]) ).
fof(f35281,plain,
v1_funct_1(sK8),
inference(cnf_transformation,[],[f35064]) ).
fof(f35282,plain,
m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6),
inference(cnf_transformation,[],[f35064]) ).
fof(f35283,plain,
v1_funct_2(sK9,k2_zfmisc_1(sK6,sK6),sK6),
inference(cnf_transformation,[],[f35064]) ).
fof(f35284,plain,
v1_funct_1(sK9),
inference(cnf_transformation,[],[f35064]) ).
fof(f35285,plain,
m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7),
inference(cnf_transformation,[],[f35064]) ).
fof(f35286,plain,
v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7),
inference(cnf_transformation,[],[f35064]) ).
fof(f35287,plain,
v1_funct_1(sK10),
inference(cnf_transformation,[],[f35064]) ).
fof(f35288,plain,
m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7),
inference(cnf_transformation,[],[f35064]) ).
fof(f35289,plain,
v1_funct_2(sK11,k2_zfmisc_1(sK7,sK7),sK7),
inference(cnf_transformation,[],[f35064]) ).
fof(f35290,plain,
v1_funct_1(sK11),
inference(cnf_transformation,[],[f35064]) ).
fof(f35291,plain,
r6_binop_1(sK6,sK8,sK9),
inference(cnf_transformation,[],[f35064]) ).
fof(f35292,plain,
sK11 = k1_realset1(sK9,sK7),
inference(cnf_transformation,[],[f35064]) ).
fof(f35293,plain,
sK10 = k1_realset1(sK8,sK7),
inference(cnf_transformation,[],[f35064]) ).
fof(f35294,plain,
~ r6_binop_1(sK7,sK10,sK11),
inference(cnf_transformation,[],[f35064]) ).
fof(f35607,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,[],[f35192]) ).
fof(f35608,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,[],[f35192]) ).
fof(f35609,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,[],[f35192]) ).
fof(f35657,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,[],[f35275]) ).
fof(f35658,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,[],[f35657]) ).
fof(f35659,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,[],[f35274]) ).
fof(f35660,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,[],[f35659]) ).
fof(f35814,plain,
! [X0,X1] :
( r4_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r4_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(sK10)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(superposition,[],[f35658,f35293]) ).
fof(f35816,plain,
! [X0,X1] :
( r5_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r5_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(sK10)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(superposition,[],[f35660,f35293]) ).
fof(f35819,plain,
! [X0,X1] :
( r5_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r5_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35816,f35287]) ).
fof(f35821,plain,
! [X0,X1] :
( r4_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r4_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35814,f35287]) ).
fof(f35837,plain,
! [X0,X1] :
( r5_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r5_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35819,f35281]) ).
fof(f35839,plain,
! [X0,X1] :
( r4_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r4_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35821,f35281]) ).
fof(f35848,plain,
! [X0,X1] :
( r5_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r5_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35837,f35278]) ).
fof(f35850,plain,
! [X0,X1] :
( r4_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ r4_binop_1(X1,sK8,X0)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ 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(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35839,f35278]) ).
fof(f35858,definition,
( spl93_20
<=> m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl93_20])],[avatar_definition]) ).
fof(f35859,plain,
( ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| spl93_20 ),
inference(avatar_component_clause,[],[f35858]) ).
fof(f35861,definition,
( spl93_21
<=> v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl93_21])],[avatar_definition]) ).
fof(f35862,plain,
( ~ v1_funct_2(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| spl93_21 ),
inference(avatar_component_clause,[],[f35861]) ).
fof(f35868,definition,
( spl93_23
<=> ! [X0,X1] :
( r5_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| v1_xboole_0(X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK8,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,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ r5_binop_1(X1,sK8,X0) ) ),
introduced(definition,[new_symbols(definition,[spl93_23])],[avatar_definition]) ).
fof(f35869,plain,
( ! [X0,X1] :
( ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK8,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,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| r5_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ r5_binop_1(X1,sK8,X0) )
| ~ spl93_23 ),
inference(avatar_component_clause,[],[f35868]) ).
fof(f35870,plain,
( ~ spl93_20
| ~ spl93_21
| spl93_23 ),
inference(avatar_split_clause,[],[f35848,f35868,f35861,f35858]) ).
fof(f35876,definition,
( spl93_25
<=> ! [X0,X1] :
( r4_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| v1_xboole_0(X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK8,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,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ r4_binop_1(X1,sK8,X0) ) ),
introduced(definition,[new_symbols(definition,[spl93_25])],[avatar_definition]) ).
fof(f35877,plain,
( ! [X0,X1] :
( ~ v1_funct_2(k1_realset1(X0,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK8,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,sK7),k2_zfmisc_1(sK7,sK7),sK7)
| r4_binop_1(sK7,sK10,k1_realset1(X0,sK7))
| ~ v1_funct_1(k1_realset1(X0,sK7))
| ~ r4_binop_1(X1,sK8,X0) )
| ~ spl93_25 ),
inference(avatar_component_clause,[],[f35876]) ).
fof(f35878,plain,
( ~ spl93_20
| ~ spl93_21
| spl93_25 ),
inference(avatar_split_clause,[],[f35850,f35876,f35861,f35858]) ).
fof(f36188,plain,
! [X0] :
( ~ r6_binop_1(sK6,X0,sK9)
| ~ v1_funct_1(sK9)
| r5_binop_1(sK6,X0,sK9)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(resolution,[],[f35283,f35607]) ).
fof(f36189,plain,
! [X0] :
( ~ r6_binop_1(sK6,X0,sK9)
| ~ v1_funct_1(sK9)
| r4_binop_1(sK6,X0,sK9)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(resolution,[],[f35283,f35608]) ).
fof(f36196,plain,
! [X0] :
( ~ r6_binop_1(sK6,X0,sK9)
| r4_binop_1(sK6,X0,sK9)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f36189,f35284]) ).
fof(f36197,plain,
! [X0] :
( ~ r6_binop_1(sK6,X0,sK9)
| r5_binop_1(sK6,X0,sK9)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f36188,f35284]) ).
fof(f36233,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK6,sK6),sK6)
| r4_binop_1(sK6,X0,sK9)
| ~ v1_funct_1(X0)
| ~ r6_binop_1(sK6,X0,sK9)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f36196,f35282]) ).
fof(f36234,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK6,sK6),sK6)
| r5_binop_1(sK6,X0,sK9)
| ~ v1_funct_1(X0)
| ~ r6_binop_1(sK6,X0,sK9)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f36197,f35282]) ).
fof(f36663,plain,
! [X0] :
( ~ r4_binop_1(sK7,X0,sK11)
| ~ r5_binop_1(sK7,X0,sK11)
| ~ v1_funct_1(sK11)
| r6_binop_1(sK7,X0,sK11)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7) ),
inference(resolution,[],[f35289,f35609]) ).
fof(f36668,plain,
! [X0] :
( ~ r4_binop_1(sK7,X0,sK11)
| ~ r5_binop_1(sK7,X0,sK11)
| r6_binop_1(sK7,X0,sK11)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7) ),
inference(forward_subsumption_resolution,[],[f36663,f35290]) ).
fof(f36705,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ r5_binop_1(sK7,X0,sK11)
| r6_binop_1(sK7,X0,sK11)
| ~ v1_funct_1(X0)
| ~ r4_binop_1(sK7,X0,sK11)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7) ),
inference(forward_subsumption_resolution,[],[f36668,f35288]) ).
fof(f36866,plain,
( $false
| spl93_20 ),
inference(forward_subsumption_resolution,[],[f35859,f35285]) ).
fof(f36867,plain,
spl93_20,
inference(avatar_contradiction_clause,[],[f36866]) ).
fof(f36868,plain,
( $false
| spl93_21 ),
inference(forward_subsumption_resolution,[],[f35862,f35286]) ).
fof(f36869,plain,
spl93_21,
inference(avatar_contradiction_clause,[],[f36868]) ).
fof(f37153,plain,
( r4_binop_1(sK6,sK8,sK9)
| ~ v1_funct_1(sK8)
| ~ r6_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(resolution,[],[f36233,f35280]) ).
fof(f37164,plain,
( r5_binop_1(sK6,sK8,sK9)
| ~ v1_funct_1(sK8)
| ~ r6_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(resolution,[],[f36234,f35280]) ).
fof(f37289,plain,
( ~ r5_binop_1(sK7,sK10,sK11)
| r6_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK10)
| ~ r4_binop_1(sK7,sK10,sK11)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7) ),
inference(resolution,[],[f36705,f35286]) ).
fof(f37426,plain,
( ! [X0] :
( ~ v1_funct_2(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| r5_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r5_binop_1(X0,sK8,sK9) )
| ~ spl93_23 ),
inference(superposition,[],[f35869,f35292]) ).
fof(f37430,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| r5_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r5_binop_1(X0,sK8,sK9) )
| ~ spl93_23 ),
inference(forward_subsumption_resolution,[],[f37426,f35289]) ).
fof(f37432,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| r5_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r5_binop_1(X0,sK8,sK9) )
| ~ spl93_23 ),
inference(forward_subsumption_resolution,[],[f37430,f35284]) ).
fof(f37434,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r5_binop_1(X0,sK8,sK9) )
| ~ spl93_23 ),
inference(forward_subsumption_resolution,[],[f37432,f35288]) ).
fof(f37457,plain,
( ! [X0] :
( ~ v1_funct_2(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| r4_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r4_binop_1(X0,sK8,sK9) )
| ~ spl93_25 ),
inference(superposition,[],[f35877,f35292]) ).
fof(f37461,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| r4_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r4_binop_1(X0,sK8,sK9) )
| ~ spl93_25 ),
inference(forward_subsumption_resolution,[],[f37457,f35289]) ).
fof(f37463,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK11,k2_zfmisc_1(sK7,sK7),sK7)
| r4_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r4_binop_1(X0,sK8,sK9) )
| ~ spl93_25 ),
inference(forward_subsumption_resolution,[],[f37461,f35284]) ).
fof(f37465,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK11)
| ~ r4_binop_1(X0,sK8,sK9) )
| ~ spl93_25 ),
inference(forward_subsumption_resolution,[],[f37463,f35288]) ).
fof(f37488,plain,
( r5_binop_1(sK6,sK8,sK9)
| ~ r6_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f37164,f35281]) ).
fof(f37490,plain,
( r5_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f37488,f35291]) ).
fof(f37492,plain,
r5_binop_1(sK6,sK8,sK9),
inference(forward_subsumption_resolution,[],[f37490,f35279]) ).
fof(f37505,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(sK7,sK10,sK11)
| ~ r5_binop_1(X0,sK8,sK9) )
| ~ spl93_23 ),
inference(forward_subsumption_resolution,[],[f37434,f35290]) ).
fof(f37509,definition,
( spl93_163
<=> r5_binop_1(sK7,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl93_163])],[avatar_definition]) ).
fof(f37510,plain,
( r5_binop_1(sK7,sK10,sK11)
| ~ spl93_163 ),
inference(avatar_component_clause,[],[f37509]) ).
fof(f37512,definition,
( spl93_164
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r5_binop_1(X0,sK8,sK9)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl93_164])],[avatar_definition]) ).
fof(f37513,plain,
( ! [X0] :
( ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,sK8,sK9)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0)) )
| ~ spl93_164 ),
inference(avatar_component_clause,[],[f37512]) ).
fof(f37520,plain,
( spl93_163
| spl93_164
| ~ spl93_23 ),
inference(avatar_split_clause,[],[f37505,f35868,f37512,f37509]) ).
fof(f37530,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(sK7,sK10,sK11)
| ~ r4_binop_1(X0,sK8,sK9) )
| ~ spl93_25 ),
inference(forward_subsumption_resolution,[],[f37465,f35290]) ).
fof(f37532,plain,
( r6_binop_1(sK7,sK10,sK11)
| ~ v1_funct_1(sK10)
| ~ r4_binop_1(sK7,sK10,sK11)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ spl93_163 ),
inference(forward_subsumption_resolution,[],[f37289,f37510]) ).
fof(f37536,definition,
( spl93_166
<=> r4_binop_1(sK7,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl93_166])],[avatar_definition]) ).
fof(f37539,definition,
( spl93_167
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK8,sK9)
| ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl93_167])],[avatar_definition]) ).
fof(f37540,plain,
( ! [X0] :
( ~ v1_funct_2(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,sK8,sK9)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK9,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK8,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(X0)) )
| ~ spl93_167 ),
inference(avatar_component_clause,[],[f37539]) ).
fof(f37547,plain,
( spl93_166
| spl93_167
| ~ spl93_25 ),
inference(avatar_split_clause,[],[f37530,f35876,f37539,f37536]) ).
fof(f37549,plain,
( ~ v1_funct_1(sK10)
| ~ r4_binop_1(sK7,sK10,sK11)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ spl93_163 ),
inference(forward_subsumption_resolution,[],[f37532,f35294]) ).
fof(f37553,plain,
( ~ r4_binop_1(sK7,sK10,sK11)
| ~ m2_relset_1(sK10,k2_zfmisc_1(sK7,sK7),sK7)
| ~ spl93_163 ),
inference(forward_subsumption_resolution,[],[f37549,f35287]) ).
fof(f37555,plain,
( ~ r4_binop_1(sK7,sK10,sK11)
| ~ spl93_163 ),
inference(forward_subsumption_resolution,[],[f37553,f35285]) ).
fof(f37573,plain,
( ~ r5_binop_1(sK6,sK8,sK9)
| v1_xboole_0(sK6)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_164 ),
inference(resolution,[],[f37513,f35283]) ).
fof(f37574,plain,
( v1_xboole_0(sK6)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_164 ),
inference(forward_subsumption_resolution,[],[f37573,f37492]) ).
fof(f37575,plain,
( ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_164 ),
inference(forward_subsumption_resolution,[],[f37574,f35276]) ).
fof(f37576,plain,
( ~ v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_164 ),
inference(forward_subsumption_resolution,[],[f37575,f35282]) ).
fof(f37577,plain,
( ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_164 ),
inference(forward_subsumption_resolution,[],[f37576,f35280]) ).
fof(f37578,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_164 ),
inference(forward_subsumption_resolution,[],[f37577,f35279]) ).
fof(f37579,plain,
( $false
| ~ spl93_164 ),
inference(forward_subsumption_resolution,[],[f37578,f35277]) ).
fof(f37580,plain,
~ spl93_164,
inference(avatar_contradiction_clause,[],[f37579]) ).
fof(f37585,plain,
( ~ spl93_166
| ~ spl93_163 ),
inference(avatar_split_clause,[],[f37555,f37509,f37536]) ).
fof(f37586,plain,
( ~ r4_binop_1(sK6,sK8,sK9)
| v1_xboole_0(sK6)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_167 ),
inference(resolution,[],[f37540,f35283]) ).
fof(f37595,plain,
( r4_binop_1(sK6,sK8,sK9)
| ~ r6_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f37153,f35281]) ).
fof(f37596,plain,
( ~ r4_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK9,k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_167 ),
inference(forward_subsumption_resolution,[],[f37586,f35276]) ).
fof(f37598,plain,
( r4_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f37595,f35291]) ).
fof(f37599,plain,
( ~ r4_binop_1(sK6,sK8,sK9)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_167 ),
inference(forward_subsumption_resolution,[],[f37596,f35282]) ).
fof(f37601,plain,
r4_binop_1(sK6,sK8,sK9),
inference(forward_subsumption_resolution,[],[f37598,f35279]) ).
fof(f37602,plain,
( ~ r4_binop_1(sK6,sK8,sK9)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_167 ),
inference(forward_subsumption_resolution,[],[f37599,f35280]) ).
fof(f37603,plain,
( ~ r4_binop_1(sK6,sK8,sK9)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK6))
| ~ spl93_167 ),
inference(forward_subsumption_resolution,[],[f37602,f35279]) ).
fof(f37604,plain,
( ~ r4_binop_1(sK6,sK8,sK9)
| ~ spl93_167 ),
inference(forward_subsumption_resolution,[],[f37603,f35277]) ).
fof(f37607,plain,
( $false
| ~ spl93_167 ),
inference(forward_subsumption_resolution,[],[f37604,f37601]) ).
fof(f37608,plain,
~ spl93_167,
inference(avatar_contradiction_clause,[],[f37607]) ).
cnf(s16,plain,
( ~ spl93_20
| ~ spl93_21
| spl93_23 ),
inference(sat_conversion,[],[f35870]) ).
cnf(s18,plain,
( ~ spl93_20
| ~ spl93_21
| spl93_25 ),
inference(sat_conversion,[],[f35878]) ).
cnf(s131,plain,
spl93_20,
inference(sat_conversion,[],[f36867]) ).
cnf(s132,plain,
spl93_21,
inference(sat_conversion,[],[f36869]) ).
cnf(s149,plain,
( ~ spl93_23
| spl93_163
| spl93_164 ),
inference(sat_conversion,[],[f37520]) ).
cnf(s154,plain,
( ~ spl93_25
| spl93_166
| spl93_167 ),
inference(sat_conversion,[],[f37547]) ).
cnf(s160,plain,
~ spl93_164,
inference(sat_conversion,[],[f37580]) ).
cnf(s162,plain,
( ~ spl93_163
| ~ spl93_166 ),
inference(sat_conversion,[],[f37585]) ).
cnf(s165,plain,
~ spl93_167,
inference(sat_conversion,[],[f37608]) ).
cnf(s166,plain,
( ~ spl93_25
| spl93_166 ),
inference(rat,[],[s154,s165]) ).
cnf(s168,plain,
( ~ spl93_23
| spl93_163 ),
inference(rat,[],[s149,s160]) ).
cnf(s176,plain,
spl93_25,
inference(rat,[],[s18,s132,s131]) ).
cnf(s177,plain,
spl93_166,
inference(rat,[],[s166,s176]) ).
cnf(s178,plain,
~ spl93_163,
inference(rat,[],[s162,s177]) ).
cnf(s180,plain,
~ spl93_23,
inference(rat,[],[s168,s178]) ).
cnf(s187,plain,
$false,
inference(rat,[],[s16,s180,s132,s131]) ).
fof(f37609,plain,
$false,
inference(avatar_sat_refutation,[],[s187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT294+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n017.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 14:15:25 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 19.82/5.59 % (2603623)Detected formulas, will run a generic FOF schedule.
% 19.82/5.59 % (2603632)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3562701730:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 19.82/5.59 % (2603628)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=1648084482:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 19.82/5.59 % (2603632)Instruction limit reached!
% 19.82/5.59 % (2603632)------------------------------
% 19.82/5.59 % (2603632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603632)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603632)Termination reason: Instruction limit
% 19.82/5.59 % (2603632)Termination phase: SInE selection
% 19.82/5.59 % (2603632)Time elapsed: 0.089 s
% 19.82/5.59 % (2603632)Peak memory usage: 136 MB
% 19.82/5.59 % (2603632)Instructions burned: 120 (million)
% 19.82/5.59 % (2603629)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=3022544559:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 19.82/5.59 % (2603630)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=3009317889:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 19.82/5.59 % (2603631)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3947375508:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 19.82/5.59 % (2603633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1237665011:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 19.82/5.59 % (2603634)dis-21_1_sil=8000:lcm=predicate:random_seed=781152184:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 19.82/5.59 % (2603633)Instruction limit reached!
% 19.82/5.59 % (2603633)------------------------------
% 19.82/5.59 % (2603633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603633)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603633)Termination reason: Instruction limit
% 19.82/5.59 % (2603633)Termination phase: Property scanning
% 19.82/5.59 % (2603633)Time elapsed: 0.119 s
% 19.82/5.59 % (2603633)Peak memory usage: 136 MB
% 19.82/5.59 % (2603633)Instructions burned: 140 (million)
% 19.82/5.59 % (2603631)Instruction limit reached!
% 19.82/5.59 % (2603631)------------------------------
% 19.82/5.59 % (2603631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603631)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603631)Termination reason: Instruction limit
% 19.82/5.59 % (2603631)Termination phase: SInE selection
% 19.82/5.59 % (2603631)Time elapsed: 0.123 s
% 19.82/5.59 % (2603631)Peak memory usage: 136 MB
% 19.82/5.59 % (2603631)Instructions burned: 110 (million)
% 19.82/5.59 % (2603634)Instruction limit reached!
% 19.82/5.59 % (2603634)------------------------------
% 19.82/5.59 % (2603634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603634)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603634)Termination reason: Instruction limit
% 19.82/5.59 % (2603634)Termination phase: SInE selection
% 19.82/5.59 % (2603634)Time elapsed: 0.137 s
% 19.82/5.59 % (2603634)Peak memory usage: 136 MB
% 19.82/5.59 % (2603634)Instructions burned: 129 (million)
% 19.82/5.59 % (2603639)lrs+10_1_sil=8000:sp=occurrence:random_seed=2298557054:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 19.82/5.59 % (2603639)Instruction limit reached!
% 19.82/5.59 % (2603639)------------------------------
% 19.82/5.59 % (2603639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603639)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603639)Termination reason: Instruction limit
% 19.82/5.59 % (2603639)Termination phase: Property scanning
% 19.82/5.59 % (2603639)Time elapsed: 0.213 s
% 19.82/5.59 % (2603639)Peak memory usage: 140 MB
% 19.82/5.59 % (2603639)Instructions burned: 287 (million)
% 19.82/5.59 % (2603643)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1570594753:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/157Mi)
% 19.82/5.59 % (2603645)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=2545031122:s2a=on:i=248:s2at=1.23:gtg=position_2978 on theBenchmark for (2978ds/248Mi)
% 19.82/5.59 % (2603644)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2838657340:i=325:sd=1:ss=axioms:sgt=32_2978 on theBenchmark for (2978ds/325Mi)
% 19.82/5.59 % (2603647)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1585725874:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2975 on theBenchmark for (2975ds/294Mi)
% 19.82/5.59 % (2603643)Instruction limit reached!
% 19.82/5.59 % (2603643)------------------------------
% 19.82/5.59 % (2603643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603643)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603643)Termination reason: Instruction limit
% 19.82/5.59 % (2603643)Termination phase: Property scanning
% 19.82/5.59 % (2603643)Time elapsed: 0.131 s
% 19.82/5.59 % (2603643)Peak memory usage: 136 MB
% 19.82/5.59 % (2603643)Instructions burned: 158 (million)
% 19.82/5.59 % (2603645)Instruction limit reached!
% 19.82/5.59 % (2603645)------------------------------
% 19.82/5.59 % (2603645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603645)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603645)Termination reason: Instruction limit
% 19.82/5.59 % (2603645)Termination phase: Property scanning
% 19.82/5.59 % (2603645)Time elapsed: 0.205 s
% 19.82/5.59 % (2603645)Peak memory usage: 136 MB
% 19.82/5.59 % (2603645)Instructions burned: 248 (million)
% 19.82/5.59 % (2603647)Instruction limit reached!
% 19.82/5.59 % (2603647)------------------------------
% 19.82/5.59 % (2603647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603647)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603647)Termination reason: Instruction limit
% 19.82/5.59 % (2603647)Termination phase: SInE selection
% 19.82/5.59 % (2603647)Time elapsed: 0.175 s
% 19.82/5.59 % (2603647)Peak memory usage: 137 MB
% 19.82/5.59 % (2603647)Instructions burned: 296 (million)
% 19.82/5.59 % (2603652)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=667054259:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 19.82/5.59 % (2603644)Instruction limit reached!
% 19.82/5.59 % (2603644)------------------------------
% 19.82/5.59 % (2603644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603644)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603644)Termination reason: Instruction limit
% 19.82/5.59 % (2603644)Termination phase: Saturation
% 19.82/5.59 % (2603644)Time elapsed: 0.380 s
% 19.82/5.59 % (2603644)Peak memory usage: 142 MB
% 19.82/5.59 % (2603644)Instructions burned: 326 (million)
% 19.82/5.59 % (2603654)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=427729690:i=127:av=off:fsr=off:sup=off_2972 on theBenchmark for (2972ds/127Mi)
% 19.82/5.59 % (2603653)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=518895032:cts=off:i=113:fsr=off:ss=included:sgt=4_2973 on theBenchmark for (2973ds/113Mi)
% 19.82/5.59 % (2603654)Instruction limit reached!
% 19.82/5.59 % (2603654)------------------------------
% 19.82/5.59 % (2603654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603654)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603654)Termination reason: Instruction limit
% 19.82/5.59 % (2603654)Termination phase: Preprocessing 1
% 19.82/5.59 % (2603654)Time elapsed: 0.089 s
% 19.82/5.59 % (2603654)Peak memory usage: 137 MB
% 19.82/5.59 % (2603654)Instructions burned: 127 (million)
% 19.82/5.59 % (2603653)Instruction limit reached!
% 19.82/5.59 % (2603653)------------------------------
% 19.82/5.59 % (2603653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603653)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603653)Termination reason: Instruction limit
% 19.82/5.59 % (2603653)Termination phase: SInE selection
% 19.82/5.59 % (2603653)Time elapsed: 0.126 s
% 19.82/5.59 % (2603653)Peak memory usage: 136 MB
% 19.82/5.59 % (2603653)Instructions burned: 113 (million)
% 19.82/5.59 % (2603656)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2674255988:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 19.82/5.59 % (2603656)Instruction limit reached!
% 19.82/5.59 % (2603656)------------------------------
% 19.82/5.59 % (2603656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603656)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603656)Termination reason: Instruction limit
% 19.82/5.59 % (2603656)Termination phase: Property scanning
% 19.82/5.59 % (2603656)Time elapsed: 0.099 s
% 19.82/5.59 % (2603656)Peak memory usage: 136 MB
% 19.82/5.59 % (2603656)Instructions burned: 114 (million)
% 19.82/5.59 % (2603659)lrs+10_1_sil=8000:sp=occurrence:random_seed=3466941674:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 19.82/5.59 % (2603660)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2797860377:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 19.82/5.59 % (2603662)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2542736754:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 19.82/5.59 % (2603660)First to succeed.
% 19.82/5.59 % (2603660)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2603623"
% 19.82/5.59 % (2603659)Instruction limit reached!
% 19.82/5.59 % (2603659)------------------------------
% 19.82/5.59 % (2603659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603659)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603659)Termination reason: Instruction limit
% 19.82/5.59 % (2603659)Termination phase: Function definition elimination
% 19.82/5.59 % (2603659)Time elapsed: 0.545 s
% 19.82/5.59 % (2603659)Peak memory usage: 155 MB
% 19.82/5.59 % (2603659)Instructions burned: 909 (million)
% 19.82/5.59 % (2603666)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2936043199:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2961 on theBenchmark for (2961ds/134Mi)
% 19.82/5.59 % (2603666)Instruction limit reached!
% 19.82/5.59 % (2603666)------------------------------
% 19.82/5.59 % (2603666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/5.59 % (2603666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/5.59 % (2603666)CaDiCaL version: 2.1.3
% 19.82/5.59 % (2603666)Termination reason: Instruction limit
% 19.82/5.59 % (2603666)Termination phase: SInE selection
% 19.82/5.59 % (2603666)Time elapsed: 0.101 s
% 19.82/5.59 % (2603666)Peak memory usage: 136 MB
% 19.82/5.59 % (2603666)Instructions burned: 135 (million)
% 19.82/5.59 % (2603660)Refutation found. Thanks to Tanya!
% 19.82/5.59 % SZS status Theorem for theBenchmark
% 19.82/5.59 % SZS output start Proof for theBenchmark
% See solution above
% 20.56/5.85 % (2603660)------------------------------
% 20.56/5.85 % (2603660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.56/5.85 % (2603660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/5.85 % (2603660)CaDiCaL version: 2.1.3
% 20.56/5.85 % (2603660)Termination reason: Refutation
% 20.56/5.85 % (2603660)Time elapsed: 0.404 s
% 20.56/5.85 % (2603660)Peak memory usage: 144 MB
% 20.56/5.85 % (2603660)Instructions burned: 369 (million)
% 20.56/5.85 % (2603660)------------------------------
% 20.56/5.85 % (2603660)------------------------------
% 20.56/5.85 % (2603623)Success in time 4.274 s
% 20.56/5.85 % Vampire exiting
%------------------------------------------------------------------------------