%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT293+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:46:36 AM UTC 2026
% Result : Theorem 17.28s 3.12s
% Output : Refutation 18.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 39
% Syntax : Number of formulae : 395 ( 44 unt; 17 def)
% Number of atoms : 1923 ( 200 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 2675 (1147 ~;1318 |; 124 &)
% ( 36 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 18 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-6 aty)
% Number of variables : 593 ( 0 sgn 575 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m2_subset_1(X5,X0,X1)
=> ( ( X3 = k1_realset1(X2,X1)
& X5 = X4 )
=> ( ( r1_binop_1(X0,X4,X2)
=> r1_binop_1(X1,X5,X3) )
& ( r2_binop_1(X0,X4,X2)
=> r2_binop_1(X1,X5,X3) )
& ( r3_binop_1(X0,X4,X2)
=> r3_binop_1(X1,X5,X3) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_filter_2) ).
fof(f2,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(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m2_subset_1(X5,X0,X1)
=> ( ( X3 = k1_realset1(X2,X1)
& X5 = X4 )
=> ( ( r1_binop_1(X0,X4,X2)
=> r1_binop_1(X1,X5,X3) )
& ( r2_binop_1(X0,X4,X2)
=> r2_binop_1(X1,X5,X3) )
& ( r3_binop_1(X0,X4,X2)
=> r3_binop_1(X1,X5,X3) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f9,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,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) )
=> ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k2_binop_1(X0,X0,X0,X2,X1,X3) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_binop_1) ).
fof(f10,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,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) )
=> ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k2_binop_1(X0,X0,X0,X2,X3,X1) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_binop_1) ).
fof(f11,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_binop_1) ).
fof(f12,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) ) )
& ( X1 = k1_xboole_0
=> ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f13,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_realset1) ).
fof(f14,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X2,X0)
& m1_subset_1(X3,X1) )
=> m1_subset_1(k1_domain_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_domain_1) ).
fof(f32,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f33,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
=> m1_subset_1(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_subset_1) ).
fof(f40,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f46,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X2,X0)
& m1_subset_1(X3,X1) )
=> k1_domain_1(X0,X1,X2,X3) = k4_tarski(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_domain_1) ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& m1_subset_1(X4,X0)
& m1_subset_1(X5,X1) )
=> k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f59,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f60,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f61,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
fof(f63,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] :
( m1_subset_1(X2,X0)
=> ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( k1_binop_1(X1,X2,X3) = X3
& k1_binop_1(X1,X3,X2) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_binop_1) ).
fof(f65,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
=> k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_binop_1(X1,X5,X3)
& r1_binop_1(X0,X4,X2) )
| ( ~ r2_binop_1(X1,X5,X3)
& r2_binop_1(X0,X4,X2) )
| ( ~ r3_binop_1(X1,X5,X3)
& r3_binop_1(X0,X4,X2) ) )
& X3 = k1_realset1(X2,X1)
& X5 = X4
& m2_subset_1(X5,X0,X1) )
& m1_subset_1(X4,X0) )
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
& 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,[],[f2]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_binop_1(X1,X5,X3)
& r1_binop_1(X0,X4,X2) )
| ( ~ r2_binop_1(X1,X5,X3)
& r2_binop_1(X0,X4,X2) )
| ( ~ r3_binop_1(X1,X5,X3)
& r3_binop_1(X0,X4,X2) ) )
& X3 = k1_realset1(X2,X1)
& X5 = X4
& m2_subset_1(X5,X0,X1) )
& m1_subset_1(X4,X0) )
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
& 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,[],[f78]) ).
fof(f81,plain,
! [X0,X1,X2] :
( k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f82,plain,
! [X0,X1,X2] :
( k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f81]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ( k1_binop_1(X1,X2,X3) = X3
& k1_binop_1(X1,X3,X2) = X3 )
| ~ m1_subset_1(X3,X0) ) )
| ~ m1_subset_1(X2,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,[],[f63]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ( k1_binop_1(X1,X2,X3) = X3
& k1_binop_1(X1,X3,X2) = X3 )
| ~ m1_subset_1(X3,X0) ) )
| ~ m1_subset_1(X2,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,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X1) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( k1_domain_1(X0,X1,X2,X3) = k4_tarski(X2,X3)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( k1_domain_1(X0,X1,X2,X3) = k4_tarski(X2,X3)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(flattening,[],[f89]) ).
fof(f93,plain,
! [X0] :
( ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f97,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( k2_binop_1(X0,X0,X0,X2,X3,X1) = X3
| ~ m1_subset_1(X3,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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( k2_binop_1(X0,X0,X0,X2,X3,X1) = X3
| ~ m1_subset_1(X3,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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( k2_binop_1(X0,X0,X0,X2,X1,X3) = X3
| ~ m1_subset_1(X3,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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( k2_binop_1(X0,X0,X0,X2,X1,X3) = X3
| ~ m1_subset_1(X3,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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f100]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f107,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f106]) ).
fof(f111,plain,
! [X0,X1] :
( ! [X2] :
( m1_subset_1(X2,X0)
| ~ m2_subset_1(X2,X0,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( m1_subset_1(X2,X0)
| ~ m2_subset_1(X2,X0,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f117,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f118,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f119,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(flattening,[],[f118]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k1_domain_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k1_domain_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(flattening,[],[f122]) ).
fof(f133,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f134,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f133]) ).
fof(f139,plain,
( ( ( ~ r1_binop_1(sK1,sK5,sK3)
& r1_binop_1(sK0,sK4,sK2) )
| ( ~ r2_binop_1(sK1,sK5,sK3)
& r2_binop_1(sK0,sK4,sK2) )
| ( ~ r3_binop_1(sK1,sK5,sK3)
& r3_binop_1(sK0,sK4,sK2) ) )
& sK3 = k1_realset1(sK2,sK1)
& sK4 = sK5
& m2_subset_1(sK5,sK0,sK1)
& m1_subset_1(sK4,sK0)
& v1_funct_1(sK3)
& v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
& m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK2)
& v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& ~ v1_xboole_0(sK1)
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f79]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r3_binop_1(X0,X2,X1)
| ? [X3] :
( ( k1_binop_1(X1,X2,X3) != X3
| k1_binop_1(X1,X3,X2) != X3 )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( k1_binop_1(X1,X2,X3) = X3
& k1_binop_1(X1,X3,X2) = X3 )
| ~ m1_subset_1(X3,X0) )
| ~ r3_binop_1(X0,X2,X1) ) )
| ~ m1_subset_1(X2,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,[],[f85]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r3_binop_1(X0,X2,X1)
| ? [X3] :
( ( k1_binop_1(X1,X2,X3) != X3
| k1_binop_1(X1,X3,X2) != X3 )
& m1_subset_1(X3,X0) ) )
& ( ! [X4] :
( ( k1_binop_1(X1,X2,X4) = X4
& k1_binop_1(X1,X4,X2) = X4 )
| ~ m1_subset_1(X4,X0) )
| ~ r3_binop_1(X0,X2,X1) ) )
| ~ m1_subset_1(X2,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(rectify,[],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r3_binop_1(X0,X2,X1)
| ( ( sK6(X0,X1,X2) != k1_binop_1(X1,X2,sK6(X0,X1,X2))
| sK6(X0,X1,X2) != k1_binop_1(X1,sK6(X0,X1,X2),X2) )
& m1_subset_1(sK6(X0,X1,X2),X0) ) )
& ( ! [X4] :
( ( k1_binop_1(X1,X2,X4) = X4
& k1_binop_1(X1,X4,X2) = X4 )
| ~ m1_subset_1(X4,X0) )
| ~ r3_binop_1(X0,X2,X1) ) )
| ~ m1_subset_1(X2,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(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f141]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ( ( ( ( v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) != X0 )
& ( X0 = k4_relset_1(X0,X1,X2)
| ~ v1_funct_2(X2,X0,X1) ) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( ( v1_funct_2(X2,X0,X1)
| k1_xboole_0 != X2 )
& ( X2 = k1_xboole_0
| ~ v1_funct_2(X2,X0,X1) ) )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(nnf_transformation,[],[f95]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_binop_1(X0,X1,X2)
| ? [X3] :
( k2_binop_1(X0,X0,X0,X2,X3,X1) != X3
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( k2_binop_1(X0,X0,X0,X2,X3,X1) = X3
| ~ m1_subset_1(X3,X0) )
| ~ r2_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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_binop_1(X0,X1,X2)
| ? [X3] :
( k2_binop_1(X0,X0,X0,X2,X3,X1) != X3
& m1_subset_1(X3,X0) ) )
& ( ! [X4] :
( k2_binop_1(X0,X0,X0,X2,X4,X1) = X4
| ~ m1_subset_1(X4,X0) )
| ~ r2_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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_binop_1(X0,X1,X2)
| ( sK7(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,sK7(X0,X1,X2),X1)
& m1_subset_1(sK7(X0,X1,X2),X0) ) )
& ( ! [X4] :
( k2_binop_1(X0,X0,X0,X2,X4,X1) = X4
| ~ m1_subset_1(X4,X0) )
| ~ r2_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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f145]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_binop_1(X0,X1,X2)
| ? [X3] :
( k2_binop_1(X0,X0,X0,X2,X1,X3) != X3
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( k2_binop_1(X0,X0,X0,X2,X1,X3) = X3
| ~ m1_subset_1(X3,X0) )
| ~ r1_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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_binop_1(X0,X1,X2)
| ? [X3] :
( k2_binop_1(X0,X0,X0,X2,X1,X3) != X3
& m1_subset_1(X3,X0) ) )
& ( ! [X4] :
( k2_binop_1(X0,X0,X0,X2,X1,X4) = X4
| ~ m1_subset_1(X4,X0) )
| ~ r1_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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_binop_1(X0,X1,X2)
| ( sK8(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,X1,sK8(X0,X1,X2))
& m1_subset_1(sK8(X0,X1,X2),X0) ) )
& ( ! [X4] :
( k2_binop_1(X0,X0,X0,X2,X1,X4) = X4
| ~ m1_subset_1(X4,X0) )
| ~ r1_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) )
| ~ m1_subset_1(X1,X0) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_subset_1(X2,X0,X1)
| ~ m1_subset_1(X2,X1) )
& ( m1_subset_1(X2,X1)
| ~ m2_subset_1(X2,X0,X1) ) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f107]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f165,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f166,plain,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f139]) ).
fof(f167,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f168,plain,
m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f169,plain,
v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f170,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f139]) ).
fof(f171,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f172,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f173,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f139]) ).
fof(f174,plain,
m1_subset_1(sK4,sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f175,plain,
m2_subset_1(sK5,sK0,sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f176,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f139]) ).
fof(f177,plain,
sK3 = k1_realset1(sK2,sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f178,plain,
( r1_binop_1(sK0,sK4,sK2)
| r2_binop_1(sK0,sK4,sK2)
| r3_binop_1(sK0,sK4,sK2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f180,plain,
( r1_binop_1(sK0,sK4,sK2)
| ~ r2_binop_1(sK1,sK5,sK3)
| r3_binop_1(sK0,sK4,sK2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f182,plain,
( ~ r1_binop_1(sK1,sK5,sK3)
| r2_binop_1(sK0,sK4,sK2)
| r3_binop_1(sK0,sK4,sK2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f184,plain,
( ~ r1_binop_1(sK1,sK5,sK3)
| ~ r2_binop_1(sK1,sK5,sK3)
| r3_binop_1(sK0,sK4,sK2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f185,plain,
( ~ r1_binop_1(sK1,sK5,sK3)
| ~ r2_binop_1(sK1,sK5,sK3)
| ~ r3_binop_1(sK1,sK5,sK3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f187,plain,
! [X2,X0,X1] :
( k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f189,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,X0)
| ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| k1_binop_1(X1,X4,X2) = X4 ),
inference(cnf_transformation,[],[f142]) ).
fof(f190,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,X0)
| ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| k1_binop_1(X1,X2,X4) = X4 ),
inference(cnf_transformation,[],[f142]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| m1_subset_1(sK6(X0,X1,X2),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f192,plain,
! [X2,X0,X1] :
( sK6(X0,X1,X2) != k1_binop_1(X1,sK6(X0,X1,X2),X2)
| sK6(X0,X1,X2) != k1_binop_1(X1,X2,sK6(X0,X1,X2))
| r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,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,[],[f142]) ).
fof(f193,plain,
! [X2,X0,X1] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( k1_domain_1(X0,X1,X2,X3) = k4_tarski(X2,X3)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f197,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f198,plain,
! [X0,X1] :
( k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f201,plain,
! [X2,X0,X1] :
( k4_relset_1(X0,X1,X2) = X0
| ~ v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f205,plain,
! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f206,plain,
! [X2,X0,X1,X4] :
( k2_binop_1(X0,X0,X0,X2,X4,X1) = X4
| ~ m1_subset_1(X4,X0)
| ~ r2_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)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| m1_subset_1(sK7(X0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| r2_binop_1(X0,X1,X2)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f208,plain,
! [X2,X0,X1] :
( sK7(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,sK7(X0,X1,X2),X1)
| r2_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)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f209,plain,
! [X2,X0,X1,X4] :
( k2_binop_1(X0,X0,X0,X2,X1,X4) = X4
| ~ m1_subset_1(X4,X0)
| ~ r1_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)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| m1_subset_1(sK8(X0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| r1_binop_1(X0,X1,X2)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f211,plain,
! [X2,X0,X1] :
( sK8(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,X1,sK8(X0,X1,X2))
| r1_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)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f212,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f217,plain,
! [X2,X0,X1] :
( m2_subset_1(X2,X0,X1)
| ~ m1_subset_1(X2,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f225,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f231,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k1_domain_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f250,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f254,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f258,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f40]) ).
fof(f270,plain,
( ~ r1_binop_1(sK1,sK5,sK3)
| ~ r2_binop_1(sK1,sK5,sK3)
| r3_binop_1(sK0,sK5,sK2) ),
inference(definition_unfolding,[],[f184,f176]) ).
fof(f272,plain,
( ~ r1_binop_1(sK1,sK5,sK3)
| r2_binop_1(sK0,sK5,sK2)
| r3_binop_1(sK0,sK5,sK2) ),
inference(definition_unfolding,[],[f182,f176,f176]) ).
fof(f274,plain,
( r1_binop_1(sK0,sK5,sK2)
| ~ r2_binop_1(sK1,sK5,sK3)
| r3_binop_1(sK0,sK5,sK2) ),
inference(definition_unfolding,[],[f180,f176,f176]) ).
fof(f276,plain,
( r1_binop_1(sK0,sK5,sK2)
| r2_binop_1(sK0,sK5,sK2)
| r3_binop_1(sK0,sK5,sK2) ),
inference(definition_unfolding,[],[f178,f176,f176,f176]) ).
fof(f277,plain,
m1_subset_1(sK5,sK0),
inference(definition_unfolding,[],[f174,f176]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( k1_domain_1(X0,X1,X2,X3) = k2_tarski(k2_tarski(X2,X3),k1_tarski(X2))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(definition_unfolding,[],[f195,f197]) ).
fof(f279,plain,
! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(definition_unfolding,[],[f205,f197]) ).
fof(f285,plain,
! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f279,f212]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( k1_domain_1(X0,X1,X2,X3) = k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1) ),
inference(forward_demodulation,[],[f278,f212]) ).
fof(f288,definition,
( spl22_1
<=> r3_binop_1(sK0,sK5,sK2) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f290,plain,
( r3_binop_1(sK0,sK5,sK2)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl22_2
<=> r2_binop_1(sK0,sK5,sK2) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f294,plain,
( r2_binop_1(sK0,sK5,sK2)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl22_3
<=> r1_binop_1(sK0,sK5,sK2) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f297,plain,
( ~ r1_binop_1(sK0,sK5,sK2)
| spl22_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( r1_binop_1(sK0,sK5,sK2)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( spl22_1
| spl22_2
| spl22_3 ),
inference(avatar_split_clause,[],[f276,f296,f292,f288]) ).
fof(f301,definition,
( spl22_4
<=> r3_binop_1(sK1,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f303,plain,
( ~ r3_binop_1(sK1,sK5,sK3)
| spl22_4 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f306,definition,
( spl22_5
<=> r2_binop_1(sK1,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f307,plain,
( r2_binop_1(sK1,sK5,sK3)
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( ~ r2_binop_1(sK1,sK5,sK3)
| spl22_5 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f309,plain,
( spl22_1
| ~ spl22_5
| spl22_3 ),
inference(avatar_split_clause,[],[f274,f296,f306,f288]) ).
fof(f312,definition,
( spl22_6
<=> r1_binop_1(sK1,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f313,plain,
( r1_binop_1(sK1,sK5,sK3)
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( ~ r1_binop_1(sK1,sK5,sK3)
| spl22_6 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( spl22_1
| spl22_2
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f272,f312,f292,f288]) ).
fof(f317,plain,
( spl22_1
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f270,f312,f306,f288]) ).
fof(f318,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f185,f312,f306,f301]) ).
fof(f321,plain,
! [X2,X0,X1] :
( sK7(X1,X2,X0) != k1_binop_1(X0,sK7(X1,X2,X0),X2)
| r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X2,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK7(X1,X2,X0),X1)
| ~ m1_subset_1(X2,X1) ),
inference(superposition,[],[f208,f194]) ).
fof(f322,plain,
! [X2,X0,X1] :
( sK7(X1,X2,X0) != k1_binop_1(X0,sK7(X1,X2,X0),X2)
| r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X2,X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK7(X1,X2,X0),X1) ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f323,plain,
! [X2,X0,X1] :
( sK7(X1,X2,X0) != k1_binop_1(X0,sK7(X1,X2,X0),X2)
| r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X2,X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(forward_subsumption_resolution,[],[f322,f207]) ).
fof(f324,plain,
! [X2,X0,X1] :
( sK7(X1,X2,X0) != k1_binop_1(X0,sK7(X1,X2,X0),X2)
| r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X2,X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(forward_subsumption_resolution,[],[f323,f251]) ).
fof(f325,plain,
! [X2,X0,X1] :
( sK8(X2,X1,X0) != k1_binop_1(X0,X1,sK8(X2,X1,X0))
| r1_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X2)
| v1_xboole_0(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(sK8(X2,X1,X0),X2) ),
inference(superposition,[],[f211,f194]) ).
fof(f326,plain,
! [X2,X0,X1] :
( sK8(X2,X1,X0) != k1_binop_1(X0,X1,sK8(X2,X1,X0))
| r1_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(sK8(X2,X1,X0),X2) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f327,plain,
! [X2,X0,X1] :
( sK8(X2,X1,X0) != k1_binop_1(X0,X1,sK8(X2,X1,X0))
| r1_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2) ),
inference(forward_subsumption_resolution,[],[f326,f210]) ).
fof(f328,plain,
! [X2,X0,X1] :
( sK8(X2,X1,X0) != k1_binop_1(X0,X1,sK8(X2,X1,X0))
| r1_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2) ),
inference(forward_subsumption_resolution,[],[f327,f251]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( k1_binop_1(X2,X0,X3) = X0
| v1_xboole_0(X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X0,X1)
| ~ r2_binop_1(X1,X3,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| v1_xboole_0(X1) ),
inference(superposition,[],[f194,f206]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( k1_binop_1(X2,X0,X3) = X0
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X3,X1)
| ~ r2_binop_1(X1,X3,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X3,X1)
| ~ r2_binop_1(X1,X3,X2)
| k1_binop_1(X2,X0,X3) = X0 ),
inference(forward_subsumption_resolution,[],[f335,f250]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f228,f225]) ).
fof(f343,plain,
! [X2,X3,X0,X1] :
( k1_binop_1(X2,X3,X0) = X0
| v1_xboole_0(X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X0,X1)
| ~ r1_binop_1(X1,X3,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| v1_xboole_0(X1) ),
inference(superposition,[],[f194,f209]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( k1_binop_1(X2,X3,X0) = X0
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X0,X1)
| ~ r1_binop_1(X1,X3,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f354,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X0,X1)
| ~ r1_binop_1(X1,X3,X2)
| k1_binop_1(X2,X3,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f350,f250]) ).
fof(f356,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,X2) = k1_funct_1(k1_realset1(X0,X1),X2)
| ~ r2_hidden(X2,k1_relat_1(k1_realset1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[],[f187,f198]) ).
fof(f357,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,X2) = k1_funct_1(k1_realset1(X0,X1),X2)
| ~ r2_hidden(X2,k1_relat_1(k1_realset1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f359,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sK0)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| k1_binop_1(sK2,X0,X1) = X0 ),
inference(resolution,[],[f189,f168]) ).
fof(f360,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sK0)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| k1_binop_1(sK2,X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f359,f170]) ).
fof(f362,plain,
! [X0,X1] :
( k1_binop_1(sK2,X0,X1) = X0
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ m1_subset_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f360,f169]) ).
fof(f365,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sK0)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| k1_binop_1(sK2,X1,X0) = X0 ),
inference(resolution,[],[f190,f168]) ).
fof(f366,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sK0)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| k1_binop_1(sK2,X1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f365,f170]) ).
fof(f368,plain,
! [X0,X1] :
( k1_binop_1(sK2,X1,X0) = X0
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ m1_subset_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f366,f169]) ).
fof(f391,plain,
! [X0,X1] :
( sK8(X0,X1,sK2) != sK8(X0,X1,sK2)
| r1_binop_1(X0,X1,sK2)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ m1_subset_1(sK8(X0,X1,sK2),sK0) ),
inference(superposition,[],[f328,f368]) ).
fof(f393,plain,
! [X0,X1] :
( r1_binop_1(X0,X1,sK2)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ m1_subset_1(sK8(X0,X1,sK2),sK0) ),
inference(trivial_inequality_removal,[],[f391]) ).
fof(f396,plain,
! [X0,X1] :
( ~ m1_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| r1_binop_1(X0,X1,sK2)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ m1_subset_1(sK8(X0,X1,sK2),sK0) ),
inference(forward_subsumption_resolution,[],[f393,f170]) ).
fof(f399,plain,
( m1_subset_1(sK5,sK1)
| v1_xboole_0(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0)) ),
inference(resolution,[],[f216,f175]) ).
fof(f400,plain,
( m1_subset_1(sK5,sK1)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f399,f165]) ).
fof(f401,plain,
( m1_subset_1(sK5,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f400,f167]) ).
fof(f402,plain,
m1_subset_1(sK5,sK1),
inference(forward_subsumption_resolution,[],[f401,f166]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k2_zfmisc_1(X2,X3))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,X3) ),
inference(superposition,[],[f233,f286]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k2_zfmisc_1(X2,X3))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,X3) ),
inference(duplicate_literal_removal,[],[f405]) ).
fof(f447,plain,
! [X0,X1] :
( v1_xboole_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| k1_binop_1(sK3,X0,X1) = X0 ),
inference(resolution,[],[f338,f171]) ).
fof(f448,plain,
! [X0,X1] :
( v1_xboole_0(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(X0,sK0)
| ~ m1_subset_1(X1,sK0)
| ~ r2_binop_1(sK0,X1,sK2)
| k1_binop_1(sK2,X0,X1) = X0 ),
inference(resolution,[],[f338,f168]) ).
fof(f449,plain,
! [X0,X1] :
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(X0,sK0)
| ~ m1_subset_1(X1,sK0)
| ~ r2_binop_1(sK0,X1,sK2)
| k1_binop_1(sK2,X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f448,f165]) ).
fof(f450,plain,
! [X0,X1] :
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| k1_binop_1(sK3,X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f447,f167]) ).
fof(f451,plain,
! [X0,X1] :
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(X0,sK0)
| ~ m1_subset_1(X1,sK0)
| ~ r2_binop_1(sK0,X1,sK2)
| k1_binop_1(sK2,X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f449,f170]) ).
fof(f452,plain,
! [X0,X1] :
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| k1_binop_1(sK3,X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f450,f173]) ).
fof(f453,plain,
! [X0,X1] :
( k1_binop_1(sK2,X0,X1) = X0
| ~ m1_subset_1(X1,sK0)
| ~ r2_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f451,f169]) ).
fof(f454,plain,
! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = X0
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f452,f172]) ).
fof(f458,plain,
! [X0,X1] :
( sK6(X0,sK3,X1) != sK6(X0,sK3,X1)
| sK6(X0,sK3,X1) != k1_binop_1(sK3,X1,sK6(X0,sK3,X1))
| r3_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,X0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(sK6(X0,sK3,X1),sK1) ),
inference(superposition,[],[f192,f454]) ).
fof(f461,plain,
! [X0,X1] :
( sK6(X0,sK3,X1) != k1_binop_1(sK3,X1,sK6(X0,sK3,X1))
| r3_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,X0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(sK6(X0,sK3,X1),sK1) ),
inference(trivial_inequality_removal,[],[f458]) ).
fof(f465,plain,
! [X0,X1] :
( sK6(X0,sK3,X1) != k1_binop_1(sK3,X1,sK6(X0,sK3,X1))
| r3_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(sK6(X0,sK3,X1),sK1) ),
inference(forward_subsumption_resolution,[],[f461,f173]) ).
fof(f490,plain,
! [X0,X1] :
( v1_xboole_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r1_binop_1(sK1,X0,sK3)
| k1_binop_1(sK3,X0,X1) = X1 ),
inference(resolution,[],[f354,f171]) ).
fof(f491,plain,
! [X0,X1] :
( v1_xboole_0(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(X0,sK0)
| ~ m1_subset_1(X1,sK0)
| ~ r1_binop_1(sK0,X0,sK2)
| k1_binop_1(sK2,X0,X1) = X1 ),
inference(resolution,[],[f354,f168]) ).
fof(f492,plain,
! [X0,X1] :
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(X0,sK0)
| ~ m1_subset_1(X1,sK0)
| ~ r1_binop_1(sK0,X0,sK2)
| k1_binop_1(sK2,X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f491,f165]) ).
fof(f493,plain,
! [X0,X1] :
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r1_binop_1(sK1,X0,sK3)
| k1_binop_1(sK3,X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f490,f167]) ).
fof(f494,plain,
! [X0,X1] :
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(X0,sK0)
| ~ m1_subset_1(X1,sK0)
| ~ r1_binop_1(sK0,X0,sK2)
| k1_binop_1(sK2,X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f492,f170]) ).
fof(f495,plain,
! [X0,X1] :
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r1_binop_1(sK1,X0,sK3)
| k1_binop_1(sK3,X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f493,f173]) ).
fof(f496,plain,
! [X0,X1] :
( k1_binop_1(sK2,X0,X1) = X1
| ~ m1_subset_1(X1,sK0)
| ~ r1_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f494,f169]) ).
fof(f497,plain,
! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = X1
| ~ m1_subset_1(X1,sK1)
| ~ r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f495,f172]) ).
fof(f502,plain,
! [X0,X1] :
( sK6(X0,sK3,X1) != sK6(X0,sK3,X1)
| r3_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(sK6(X0,sK3,X1),sK1)
| ~ m1_subset_1(sK6(X0,sK3,X1),sK1)
| ~ r1_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(X1,sK1) ),
inference(superposition,[],[f465,f497]) ).
fof(f507,plain,
! [X0,X1] :
( sK6(X0,sK3,X1) != sK6(X0,sK3,X1)
| r3_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(sK6(X0,sK3,X1),sK1)
| ~ r1_binop_1(sK1,X1,sK3) ),
inference(duplicate_literal_removal,[],[f502]) ).
fof(f508,plain,
! [X0,X1] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| r3_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,sK1)
| ~ r2_binop_1(sK1,X1,sK3)
| ~ m1_subset_1(sK6(X0,sK3,X1),sK1)
| ~ r1_binop_1(sK1,X1,sK3) ),
inference(trivial_inequality_removal,[],[f507]) ).
fof(f516,plain,
! [X0] :
( ~ m1_subset_1(X0,sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r3_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK6(sK1,sK3,X0),sK1)
| ~ r1_binop_1(sK1,X0,sK3) ),
inference(resolution,[],[f508,f171]) ).
fof(f517,plain,
! [X0] :
( ~ m1_subset_1(X0,sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r3_binop_1(sK1,X0,sK3)
| ~ r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK6(sK1,sK3,X0),sK1)
| ~ r1_binop_1(sK1,X0,sK3) ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f518,plain,
! [X0] :
( ~ m1_subset_1(sK6(sK1,sK3,X0),sK1)
| r3_binop_1(sK1,X0,sK3)
| ~ r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ r1_binop_1(sK1,X0,sK3) ),
inference(forward_subsumption_resolution,[],[f517,f172]) ).
fof(f547,plain,
! [X0] :
( m1_subset_1(sK6(sK1,sK3,X0),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r3_binop_1(sK1,X0,sK3) ),
inference(resolution,[],[f191,f171]) ).
fof(f550,plain,
! [X0] :
( m1_subset_1(sK6(sK1,sK3,X0),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r3_binop_1(sK1,X0,sK3) ),
inference(forward_subsumption_resolution,[],[f547,f173]) ).
fof(f552,plain,
! [X0] :
( m1_subset_1(sK6(sK1,sK3,X0),sK1)
| ~ m1_subset_1(X0,sK1)
| r3_binop_1(sK1,X0,sK3) ),
inference(forward_subsumption_resolution,[],[f550,f172]) ).
fof(f553,plain,
! [X0] :
( ~ m1_subset_1(X0,sK1)
| r3_binop_1(sK1,X0,sK3)
| r3_binop_1(sK1,X0,sK3)
| ~ r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ r1_binop_1(sK1,X0,sK3) ),
inference(resolution,[],[f552,f518]) ).
fof(f554,plain,
! [X0] :
( r3_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ r2_binop_1(sK1,X0,sK3)
| ~ r1_binop_1(sK1,X0,sK3) ),
inference(duplicate_literal_removal,[],[f553]) ).
fof(f559,plain,
! [X0] :
( m1_subset_1(sK8(sK1,X0,sK3),sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1) ),
inference(resolution,[],[f210,f171]) ).
fof(f560,plain,
! [X0] :
( m1_subset_1(sK8(sK0,X0,sK2),sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(X0,sK0)
| v1_xboole_0(sK0) ),
inference(resolution,[],[f210,f168]) ).
fof(f561,plain,
! [X0] :
( m1_subset_1(sK8(sK0,X0,sK2),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(X0,sK0)
| v1_xboole_0(sK0) ),
inference(forward_subsumption_resolution,[],[f560,f170]) ).
fof(f562,plain,
! [X0] :
( m1_subset_1(sK8(sK1,X0,sK3),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1) ),
inference(forward_subsumption_resolution,[],[f559,f173]) ).
fof(f563,plain,
! [X0] :
( m1_subset_1(sK8(sK0,X0,sK2),sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(X0,sK0)
| v1_xboole_0(sK0) ),
inference(forward_subsumption_resolution,[],[f561,f169]) ).
fof(f564,plain,
! [X0] :
( m1_subset_1(sK8(sK1,X0,sK3),sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1) ),
inference(forward_subsumption_resolution,[],[f562,f172]) ).
fof(f565,plain,
! [X0] :
( m1_subset_1(sK8(sK0,X0,sK2),sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f563,f165]) ).
fof(f566,plain,
! [X0] :
( m1_subset_1(sK8(sK1,X0,sK3),sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f564,f167]) ).
fof(f571,plain,
! [X0] :
( m1_subset_1(sK7(sK1,X0,sK3),sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1) ),
inference(resolution,[],[f207,f171]) ).
fof(f574,plain,
! [X0] :
( m1_subset_1(sK7(sK1,X0,sK3),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1) ),
inference(forward_subsumption_resolution,[],[f571,f173]) ).
fof(f576,plain,
! [X0] :
( m1_subset_1(sK7(sK1,X0,sK3),sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1) ),
inference(forward_subsumption_resolution,[],[f574,f172]) ).
fof(f578,plain,
! [X0] :
( m1_subset_1(sK7(sK1,X0,sK3),sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f576,f167]) ).
fof(f671,plain,
! [X2,X0,X1] :
( k1_relat_1(X2) = X0
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| ~ m2_relset_1(X2,X0,X1) ),
inference(superposition,[],[f193,f201]) ).
fof(f676,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| k1_relat_1(X2) = X0 ),
inference(forward_subsumption_resolution,[],[f671,f250]) ).
fof(f678,plain,
! [X0] :
( k1_funct_1(sK2,X0) = k1_funct_1(sK3,X0)
| ~ r2_hidden(X0,k1_relat_1(sK3))
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2) ),
inference(superposition,[],[f357,f177]) ).
fof(f679,plain,
! [X0] :
( k1_funct_1(sK2,X0) = k1_funct_1(sK3,X0)
| ~ r2_hidden(X0,k1_relat_1(sK3))
| ~ v1_relat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f678,f170]) ).
fof(f681,definition,
( spl22_7
<=> v1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f682,plain,
( v1_relat_1(sK2)
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f683,plain,
( ~ v1_relat_1(sK2)
| spl22_7 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f685,definition,
( spl22_8
<=> ! [X0] :
( k1_funct_1(sK2,X0) = k1_funct_1(sK3,X0)
| ~ r2_hidden(X0,k1_relat_1(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f686,plain,
( ! [X0] :
( k1_funct_1(sK2,X0) = k1_funct_1(sK3,X0)
| ~ r2_hidden(X0,k1_relat_1(sK3)) )
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f687,plain,
( ~ spl22_7
| spl22_8 ),
inference(avatar_split_clause,[],[f679,f685,f681]) ).
fof(f758,plain,
v1_relat_1(sK3),
inference(resolution,[],[f340,f171]) ).
fof(f759,plain,
v1_relat_1(sK2),
inference(resolution,[],[f340,f168]) ).
fof(f760,plain,
( $false
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f759,f683]) ).
fof(f761,plain,
spl22_7,
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f766,plain,
( ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(sK3)
| ~ v1_funct_1(sK3)
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3)) )
| ~ spl22_8 ),
inference(superposition,[],[f285,f686]) ).
fof(f769,plain,
( ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_funct_1(sK3)
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3)) )
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f766,f758]) ).
fof(f775,plain,
( ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3)) )
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f769,f173]) ).
fof(f786,plain,
( ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_binop_1(sK2,X0,X1)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3)) )
| ~ spl22_8 ),
inference(superposition,[],[f285,f775]) ).
fof(f787,plain,
( ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_binop_1(sK2,X0,X1)
| ~ v1_funct_1(sK2)
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3)) )
| ~ spl22_7
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f786,f682]) ).
fof(f791,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3))
| k1_binop_1(sK3,X0,X1) = k1_binop_1(sK2,X0,X1) )
| ~ spl22_7
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f787,f170]) ).
fof(f858,plain,
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| k1_xboole_0 = sK1
| k2_zfmisc_1(sK1,sK1) = k1_relat_1(sK3) ),
inference(resolution,[],[f676,f171]) ).
fof(f859,plain,
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| k1_xboole_0 = sK0
| k2_zfmisc_1(sK0,sK0) = k1_relat_1(sK2) ),
inference(resolution,[],[f676,f168]) ).
fof(f860,plain,
( k1_xboole_0 = sK0
| k2_zfmisc_1(sK0,sK0) = k1_relat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f859,f169]) ).
fof(f861,plain,
( k1_xboole_0 = sK1
| k2_zfmisc_1(sK1,sK1) = k1_relat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f858,f172]) ).
fof(f863,definition,
( spl22_9
<=> k2_zfmisc_1(sK0,sK0) = k1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f865,plain,
( k2_zfmisc_1(sK0,sK0) = k1_relat_1(sK2)
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f867,definition,
( spl22_10
<=> k1_xboole_0 = sK0 ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f869,plain,
( k1_xboole_0 = sK0
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f870,plain,
( spl22_9
| spl22_10 ),
inference(avatar_split_clause,[],[f860,f867,f863]) ).
fof(f872,definition,
( spl22_11
<=> k2_zfmisc_1(sK1,sK1) = k1_relat_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f874,plain,
( k2_zfmisc_1(sK1,sK1) = k1_relat_1(sK3)
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f876,definition,
( spl22_12
<=> k1_xboole_0 = sK1 ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f878,plain,
( k1_xboole_0 = sK1
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f879,plain,
( spl22_11
| spl22_12 ),
inference(avatar_split_clause,[],[f861,f876,f872]) ).
fof(f880,plain,
( m2_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ spl22_11 ),
inference(superposition,[],[f171,f874]) ).
fof(f881,plain,
( v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ spl22_11 ),
inference(superposition,[],[f172,f874]) ).
fof(f912,plain,
( ~ v1_xboole_0(k1_relat_1(sK3))
| v1_xboole_0(sK1)
| v1_xboole_0(sK1)
| ~ spl22_11 ),
inference(superposition,[],[f231,f874]) ).
fof(f919,plain,
( ~ v1_xboole_0(k1_relat_1(sK3))
| v1_xboole_0(sK1)
| ~ spl22_11 ),
inference(duplicate_literal_removal,[],[f912]) ).
fof(f933,plain,
( ~ v1_xboole_0(k1_relat_1(sK3))
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f919,f167]) ).
fof(f981,plain,
( m2_relset_1(sK2,k1_relat_1(sK2),sK0)
| ~ spl22_9 ),
inference(superposition,[],[f168,f865]) ).
fof(f982,plain,
( v1_funct_2(sK2,k1_relat_1(sK2),sK0)
| ~ spl22_9 ),
inference(superposition,[],[f169,f865]) ).
fof(f996,plain,
( ! [X0] :
( ~ m1_relset_1(sK2,k1_relat_1(sK2),sK0)
| ~ v1_funct_2(sK2,k1_relat_1(sK2),sK0)
| ~ m1_subset_1(X0,sK0)
| v1_xboole_0(sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ r3_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(X0,sK0)
| ~ m1_subset_1(sK8(sK0,X0,sK2),sK0) )
| ~ spl22_9 ),
inference(superposition,[],[f396,f865]) ).
fof(f1025,plain,
( ! [X0] :
( ~ m1_relset_1(sK2,k1_relat_1(sK2),sK0)
| ~ v1_funct_2(sK2,k1_relat_1(sK2),sK0)
| ~ m1_subset_1(X0,sK0)
| v1_xboole_0(sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ r3_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(sK8(sK0,X0,sK2),sK0) )
| ~ spl22_9 ),
inference(duplicate_literal_removal,[],[f996]) ).
fof(f1054,plain,
( ! [X0] :
( ~ m1_relset_1(sK2,k1_relat_1(sK2),sK0)
| ~ v1_funct_2(sK2,k1_relat_1(sK2),sK0)
| ~ m1_subset_1(X0,sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ r3_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(sK8(sK0,X0,sK2),sK0) )
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f1025,f165]) ).
fof(f1087,plain,
( ! [X0] :
( ~ m1_relset_1(sK2,k1_relat_1(sK2),sK0)
| ~ m1_subset_1(X0,sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ r3_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(sK8(sK0,X0,sK2),sK0) )
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f1054,f982]) ).
fof(f1090,plain,
( ! [X0] :
( ~ m1_relset_1(sK2,k1_relat_1(sK2),sK0)
| ~ m1_subset_1(X0,sK0)
| r1_binop_1(sK0,X0,sK2)
| ~ r3_binop_1(sK0,X0,sK2) )
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f1087,f565]) ).
fof(f1093,definition,
( spl22_31
<=> ! [X0] :
( ~ m1_subset_1(X0,sK0)
| ~ r3_binop_1(sK0,X0,sK2)
| r1_binop_1(sK0,X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl22_31])],[avatar_definition]) ).
fof(f1094,plain,
( ! [X0] :
( ~ r3_binop_1(sK0,X0,sK2)
| ~ m1_subset_1(X0,sK0)
| r1_binop_1(sK0,X0,sK2) )
| ~ spl22_31 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1096,definition,
( spl22_32
<=> m1_relset_1(sK2,k1_relat_1(sK2),sK0) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f1098,plain,
( ~ m1_relset_1(sK2,k1_relat_1(sK2),sK0)
| spl22_32 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1099,plain,
( spl22_31
| ~ spl22_32
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f1090,f863,f1096,f1093]) ).
fof(f1104,plain,
( ~ m2_relset_1(sK2,k1_relat_1(sK2),sK0)
| spl22_32 ),
inference(resolution,[],[f1098,f250]) ).
fof(f1105,plain,
( $false
| ~ spl22_9
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f1104,f981]) ).
fof(f1106,plain,
( ~ spl22_9
| spl22_32 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1107,plain,
( v1_xboole_0(sK0)
| ~ spl22_10 ),
inference(superposition,[],[f258,f869]) ).
fof(f1110,plain,
( $false
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f1107,f165]) ).
fof(f1111,plain,
~ spl22_10,
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1839,plain,
( ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_binop_1(sK2,X0,X1)
| v1_xboole_0(k1_relat_1(sK3))
| ~ m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3)) )
| ~ spl22_7
| ~ spl22_8 ),
inference(resolution,[],[f791,f254]) ).
fof(f1932,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(resolution,[],[f217,f224]) ).
fof(f1933,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1)
| m1_subset_1(X0,X2) ),
inference(duplicate_literal_removal,[],[f1932]) ).
fof(f1991,plain,
! [X0] :
( v1_xboole_0(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,sK1)
| m1_subset_1(X0,sK0) ),
inference(resolution,[],[f1933,f166]) ).
fof(f1994,plain,
! [X0] :
( v1_xboole_0(sK1)
| ~ m1_subset_1(X0,sK1)
| m1_subset_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f1991,f165]) ).
fof(f1995,plain,
! [X0] :
( m1_subset_1(X0,sK0)
| ~ m1_subset_1(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f1994,f167]) ).
fof(f2531,definition,
( spl22_42
<=> v1_xboole_0(k1_relat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl22_42])],[avatar_definition]) ).
fof(f2533,plain,
( v1_xboole_0(k1_relat_1(sK3))
| ~ spl22_42 ),
inference(avatar_component_clause,[],[f2531]) ).
fof(f2535,definition,
( spl22_43
<=> ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_binop_1(sK2,X0,X1)
| ~ m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl22_43])],[avatar_definition]) ).
fof(f2536,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3))
| k1_binop_1(sK3,X0,X1) = k1_binop_1(sK2,X0,X1) )
| ~ spl22_43 ),
inference(avatar_component_clause,[],[f2535]) ).
fof(f2537,plain,
( spl22_42
| spl22_43
| ~ spl22_7
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f1839,f685,f681,f2535,f2531]) ).
fof(f2542,plain,
( v1_xboole_0(sK1)
| ~ spl22_12 ),
inference(superposition,[],[f258,f878]) ).
fof(f2548,plain,
( $false
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f2542,f167]) ).
fof(f2549,plain,
~ spl22_12,
inference(avatar_contradiction_clause,[],[f2548]) ).
fof(f2550,plain,
( $false
| ~ spl22_11
| ~ spl22_42 ),
inference(forward_subsumption_resolution,[],[f933,f2533]) ).
fof(f2551,plain,
( ~ spl22_11
| ~ spl22_42 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2600,plain,
( ! [X0,X1] :
( m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3))
| v1_xboole_0(sK1)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1) )
| ~ spl22_11 ),
inference(superposition,[],[f406,f874]) ).
fof(f2603,plain,
( ! [X0,X1] :
( m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3))
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1) )
| ~ spl22_11 ),
inference(duplicate_literal_removal,[],[f2600]) ).
fof(f2617,plain,
( ! [X0,X1] :
( m1_subset_1(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),k1_relat_1(sK3))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X1,sK1) )
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f2603,f167]) ).
fof(f4746,plain,
( ! [X0,X1] :
( k1_binop_1(sK3,X0,X1) = k1_binop_1(sK2,X0,X1)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(X0,sK1) )
| ~ spl22_11
| ~ spl22_43 ),
inference(resolution,[],[f2617,f2536]) ).
fof(f4861,plain,
( ! [X0,X1] :
( sK8(X1,X0,sK3) != k1_binop_1(sK2,X0,sK8(X1,X0,sK3))
| r1_binop_1(X1,X0,sK3)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK8(X1,X0,sK3),sK1)
| ~ m1_subset_1(X0,sK1) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f328,f4746]) ).
fof(f4882,plain,
( ! [X0,X1] :
( sK7(X0,X1,sK3) != k1_binop_1(sK2,sK7(X0,X1,sK3),X1)
| r2_binop_1(X0,X1,sK3)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f324,f4746]) ).
fof(f4911,plain,
( ! [X0,X1] :
( sK7(X0,X1,sK3) != k1_binop_1(sK2,sK7(X0,X1,sK3),X1)
| r2_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4882,f173]) ).
fof(f4916,plain,
( ! [X0,X1] :
( sK8(X1,X0,sK3) != k1_binop_1(sK2,X0,sK8(X1,X0,sK3))
| r1_binop_1(X1,X0,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK8(X1,X0,sK3),sK1)
| ~ m1_subset_1(X0,sK1) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4861,f173]) ).
fof(f4920,plain,
( ! [X0,X1] :
( sK7(X0,X1,sK3) != sK7(X0,X1,sK3)
| r2_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ m1_subset_1(X1,sK0)
| ~ r2_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f4911,f453]) ).
fof(f4922,plain,
( ! [X0,X1] :
( sK7(X0,X1,sK3) != sK7(X0,X1,sK3)
| r2_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f4911,f362]) ).
fof(f4947,plain,
( ! [X0,X1] :
( r2_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(trivial_inequality_removal,[],[f4922]) ).
fof(f4948,plain,
( ! [X0,X1] :
( r2_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ m1_subset_1(X1,sK0)
| ~ r2_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(trivial_inequality_removal,[],[f4920]) ).
fof(f4955,plain,
( ! [X0,X1] :
( r2_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ r3_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4947,f1995]) ).
fof(f4957,plain,
( ! [X0,X1] :
( r2_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ r2_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4948,f1995]) ).
fof(f4965,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| r2_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ r3_binop_1(sK0,X1,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4955,f1995]) ).
fof(f4967,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| r2_binop_1(X0,X1,sK3)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK7(X0,X1,sK3),sK1)
| ~ r2_binop_1(sK0,X1,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4957,f1995]) ).
fof(f4977,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK7(sK1,X0,sK3),sK1)
| ~ r2_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f4967,f874]) ).
fof(f4978,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK7(sK1,X0,sK3),sK1)
| ~ r2_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(duplicate_literal_removal,[],[f4977]) ).
fof(f4979,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ r2_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4978,f578]) ).
fof(f4980,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ r2_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4979,f881]) ).
fof(f4981,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ r2_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f4980,f167]) ).
fof(f4984,definition,
( spl22_73
<=> m1_relset_1(sK3,k1_relat_1(sK3),sK1) ),
introduced(definition,[new_symbols(definition,[spl22_73])],[avatar_definition]) ).
fof(f4985,plain,
( m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ spl22_73 ),
inference(avatar_component_clause,[],[f4984]) ).
fof(f4986,plain,
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| spl22_73 ),
inference(avatar_component_clause,[],[f4984]) ).
fof(f4988,plain,
( ~ m2_relset_1(sK3,k1_relat_1(sK3),sK1)
| spl22_73 ),
inference(resolution,[],[f4986,f250]) ).
fof(f4989,plain,
( $false
| ~ spl22_11
| spl22_73 ),
inference(forward_subsumption_resolution,[],[f4988,f880]) ).
fof(f4990,plain,
( ~ spl22_11
| spl22_73 ),
inference(avatar_contradiction_clause,[],[f4989]) ).
fof(f5002,plain,
( ! [X0] :
( r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ r2_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f4981,f4985]) ).
fof(f5004,plain,
( ~ m1_subset_1(sK5,sK1)
| ~ r2_binop_1(sK0,sK5,sK2)
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(resolution,[],[f5002,f308]) ).
fof(f5016,plain,
( ~ r2_binop_1(sK0,sK5,sK2)
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5004,f402]) ).
fof(f5018,plain,
( $false
| ~ spl22_2
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5016,f294]) ).
fof(f5019,plain,
( ~ spl22_2
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(avatar_contradiction_clause,[],[f5018]) ).
fof(f5046,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK7(sK1,X0,sK3),sK1)
| ~ r3_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f4965,f874]) ).
fof(f5047,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK7(sK1,X0,sK3),sK1)
| ~ r3_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(duplicate_literal_removal,[],[f5046]) ).
fof(f5048,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ r3_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f5047,f578]) ).
fof(f5049,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ r3_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5048,f4985]) ).
fof(f5050,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r2_binop_1(sK1,X0,sK3)
| ~ r3_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5049,f881]) ).
fof(f5051,plain,
( ! [X0] :
( ~ r3_binop_1(sK0,X0,sK2)
| r2_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5050,f167]) ).
fof(f5053,plain,
( ! [X0,X1] :
( sK8(X0,X1,sK3) != sK8(X0,X1,sK3)
| r1_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK8(X0,X1,sK3),sK1)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK8(X0,X1,sK3),sK0)
| ~ r1_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f4916,f496]) ).
fof(f5082,plain,
( ! [X0,X1] :
( r1_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK8(X0,X1,sK3),sK1)
| ~ m1_subset_1(X1,sK1)
| ~ m1_subset_1(sK8(X0,X1,sK3),sK0)
| ~ r1_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(trivial_inequality_removal,[],[f5053]) ).
fof(f5089,plain,
( ! [X0,X1] :
( r1_binop_1(X0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK8(X0,X1,sK3),sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r1_binop_1(sK0,X1,sK2)
| ~ m1_subset_1(X1,sK0) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f5082,f1995]) ).
fof(f5096,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| r1_binop_1(X0,X1,sK3)
| ~ m1_subset_1(sK8(X0,X1,sK3),sK1)
| ~ m1_subset_1(X1,sK1)
| ~ r1_binop_1(sK0,X1,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(forward_subsumption_resolution,[],[f5089,f1995]) ).
fof(f5103,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK8(sK1,X0,sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| ~ r1_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(superposition,[],[f5096,f874]) ).
fof(f5104,plain,
( ! [X0] :
( ~ m1_relset_1(sK3,k1_relat_1(sK3),sK1)
| ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK8(sK1,X0,sK3),sK1)
| ~ r1_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43 ),
inference(duplicate_literal_removal,[],[f5103]) ).
fof(f5128,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,k1_relat_1(sK3),sK1)
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK8(sK1,X0,sK3),sK1)
| ~ r1_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5104,f4985]) ).
fof(f5130,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK8(sK1,X0,sK3),sK1)
| ~ r1_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5128,f881]) ).
fof(f5132,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(sK8(sK1,X0,sK3),sK1)
| ~ r1_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5130,f167]) ).
fof(f5134,plain,
( ! [X0] :
( r1_binop_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,sK1)
| ~ r1_binop_1(sK0,X0,sK2) )
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5132,f566]) ).
fof(f5135,plain,
( ~ m1_subset_1(sK5,sK1)
| ~ r1_binop_1(sK0,sK5,sK2)
| spl22_6
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(resolution,[],[f5134,f314]) ).
fof(f5142,plain,
( ~ r1_binop_1(sK0,sK5,sK2)
| spl22_6
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5135,f402]) ).
fof(f5144,plain,
( $false
| ~ spl22_3
| spl22_6
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5142,f298]) ).
fof(f5145,plain,
( ~ spl22_3
| spl22_6
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(avatar_contradiction_clause,[],[f5144]) ).
fof(f5149,plain,
( r2_binop_1(sK1,sK5,sK3)
| ~ m1_subset_1(sK5,sK1)
| ~ spl22_1
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(resolution,[],[f290,f5051]) ).
fof(f5151,plain,
( ~ m1_subset_1(sK5,sK0)
| r1_binop_1(sK0,sK5,sK2)
| ~ spl22_1
| ~ spl22_31 ),
inference(resolution,[],[f290,f1094]) ).
fof(f5159,plain,
( ~ m1_subset_1(sK5,sK1)
| ~ spl22_1
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5149,f308]) ).
fof(f5162,plain,
( $false
| ~ spl22_1
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f5159,f402]) ).
fof(f5163,plain,
( ~ spl22_1
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(avatar_contradiction_clause,[],[f5162]) ).
fof(f5164,plain,
( r1_binop_1(sK0,sK5,sK2)
| ~ spl22_1
| ~ spl22_31 ),
inference(forward_subsumption_resolution,[],[f5151,f277]) ).
fof(f5165,plain,
( $false
| ~ spl22_1
| spl22_3
| ~ spl22_31 ),
inference(forward_subsumption_resolution,[],[f5164,f297]) ).
fof(f5166,plain,
( ~ spl22_1
| spl22_3
| ~ spl22_31 ),
inference(avatar_contradiction_clause,[],[f5165]) ).
fof(f5175,plain,
( ~ m1_subset_1(sK5,sK1)
| ~ r2_binop_1(sK1,sK5,sK3)
| ~ r1_binop_1(sK1,sK5,sK3)
| spl22_4 ),
inference(resolution,[],[f303,f554]) ).
fof(f5190,plain,
( ~ r2_binop_1(sK1,sK5,sK3)
| ~ r1_binop_1(sK1,sK5,sK3)
| spl22_4 ),
inference(forward_subsumption_resolution,[],[f5175,f402]) ).
fof(f5191,plain,
( ~ r1_binop_1(sK1,sK5,sK3)
| spl22_4
| ~ spl22_5 ),
inference(forward_subsumption_resolution,[],[f5190,f307]) ).
fof(f5192,plain,
( $false
| spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f5191,f313]) ).
fof(f5193,plain,
( spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_contradiction_clause,[],[f5192]) ).
cnf(s1,plain,
( spl22_1
| spl22_2
| spl22_3 ),
inference(sat_conversion,[],[f299]) ).
cnf(s3,plain,
( spl22_1
| spl22_3
| ~ spl22_5 ),
inference(sat_conversion,[],[f309]) ).
cnf(s5,plain,
( spl22_1
| spl22_2
| ~ spl22_6 ),
inference(sat_conversion,[],[f315]) ).
cnf(s7,plain,
( spl22_1
| ~ spl22_5
| ~ spl22_6 ),
inference(sat_conversion,[],[f317]) ).
cnf(s8,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(sat_conversion,[],[f318]) ).
cnf(s9,plain,
( ~ spl22_7
| spl22_8 ),
inference(sat_conversion,[],[f687]) ).
cnf(s10,plain,
spl22_7,
inference(sat_conversion,[],[f761]) ).
cnf(s11,plain,
( spl22_9
| spl22_10 ),
inference(sat_conversion,[],[f870]) ).
cnf(s12,plain,
( spl22_11
| spl22_12 ),
inference(sat_conversion,[],[f879]) ).
cnf(s29,plain,
( ~ spl22_9
| spl22_31
| ~ spl22_32 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s31,plain,
( ~ spl22_9
| spl22_32 ),
inference(sat_conversion,[],[f1106]) ).
cnf(s32,plain,
~ spl22_10,
inference(sat_conversion,[],[f1111]) ).
cnf(s41,plain,
( ~ spl22_7
| ~ spl22_8
| spl22_42
| spl22_43 ),
inference(sat_conversion,[],[f2537]) ).
cnf(s43,plain,
~ spl22_12,
inference(sat_conversion,[],[f2549]) ).
cnf(s44,plain,
( ~ spl22_11
| ~ spl22_42 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s81,plain,
( ~ spl22_11
| spl22_73 ),
inference(sat_conversion,[],[f4990]) ).
cnf(s83,plain,
( ~ spl22_2
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(sat_conversion,[],[f5019]) ).
cnf(s86,plain,
( ~ spl22_3
| spl22_6
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(sat_conversion,[],[f5145]) ).
cnf(s88,plain,
( ~ spl22_1
| spl22_5
| ~ spl22_11
| ~ spl22_43
| ~ spl22_73 ),
inference(sat_conversion,[],[f5163]) ).
cnf(s89,plain,
( ~ spl22_1
| spl22_3
| ~ spl22_31 ),
inference(sat_conversion,[],[f5166]) ).
cnf(s91,plain,
( spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(sat_conversion,[],[f5193]) ).
cnf(s99,plain,
spl22_11,
inference(rat,[],[s12,s43]) ).
cnf(s100,plain,
spl22_73,
inference(rat,[],[s81,s99]) ).
cnf(s101,plain,
~ spl22_42,
inference(rat,[],[s44,s99]) ).
cnf(s104,plain,
spl22_9,
inference(rat,[],[s11,s32]) ).
cnf(s106,plain,
spl22_32,
inference(rat,[],[s31,s104]) ).
cnf(s107,plain,
spl22_31,
inference(rat,[],[s29,s106,s104]) ).
cnf(s110,plain,
spl22_8,
inference(rat,[],[s9,s10]) ).
cnf(s112,plain,
spl22_43,
inference(rat,[],[s41,s10,s101,s110]) ).
cnf(s113,plain,
( spl22_2
| spl22_1 ),
inference(rat,[],[s86,s1,s5,s100,s112,s99]) ).
cnf(s114,plain,
( ~ spl22_5
| spl22_1 ),
inference(rat,[],[s86,s3,s7,s100,s112,s99]) ).
cnf(s115,plain,
spl22_1,
inference(rat,[],[s114,s83,s113,s99,s112,s100]) ).
cnf(s116,plain,
spl22_3,
inference(rat,[],[s89,s107,s115]) ).
cnf(s117,plain,
spl22_5,
inference(rat,[],[s88,s100,s112,s99,s115]) ).
cnf(s119,plain,
spl22_6,
inference(rat,[],[s86,s100,s112,s99,s116]) ).
cnf(s122,plain,
~ spl22_4,
inference(rat,[],[s8,s117,s119]) ).
cnf(s123,plain,
$false,
inference(rat,[],[s91,s117,s119,s122]) ).
fof(f5194,plain,
$false,
inference(avatar_sat_refutation,[],[s123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT293+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:19:11 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.75/2.14 % (575506)Detected formulas, will run a generic FOF schedule.
% 10.75/2.14 % (575516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3539886135:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.75/2.14 % (575517)dis-21_1_sil=8000:lcm=predicate:random_seed=358531211:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.75/2.14 % (575514)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2111087569:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.75/2.14 % (575511)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=4240430522:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.75/2.14 % (575515)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1504433501:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.75/2.14 % (575512)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=2644178200:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.75/2.14 % (575513)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=1764648571:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.75/2.14 % (575514)Refutation not found, incomplete strategy
% 10.75/2.14 % (575514)------------------------------
% 10.75/2.14 % (575514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (575514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (575514)CaDiCaL version: 2.1.3
% 10.75/2.14 % (575514)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.14 % (575514)Time elapsed: 0.006 s
% 10.75/2.14 % (575514)Peak memory usage: 88 MB
% 10.75/2.14 % (575514)Instructions burned: 9 (million)
% 10.75/2.14 % (575517)Instruction limit reached!
% 10.75/2.14 % (575517)------------------------------
% 10.75/2.14 % (575517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (575517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (575517)CaDiCaL version: 2.1.3
% 10.75/2.14 % (575517)Termination reason: Instruction limit
% 10.75/2.14 % (575517)Termination phase: Saturation
% 10.75/2.14 % (575517)Time elapsed: 0.068 s
% 10.75/2.14 % (575517)Peak memory usage: 89 MB
% 10.75/2.14 % (575517)Instructions burned: 131 (million)
% 10.75/2.14 % (575515)Instruction limit reached!
% 10.75/2.14 % (575515)------------------------------
% 10.75/2.14 % (575515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (575515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (575515)CaDiCaL version: 2.1.3
% 10.75/2.14 % (575515)Termination reason: Instruction limit
% 10.75/2.14 % (575515)Termination phase: Saturation
% 10.75/2.14 % (575515)Time elapsed: 0.071 s
% 10.75/2.14 % (575515)Peak memory usage: 89 MB
% 10.75/2.14 % (575515)Instructions burned: 120 (million)
% 10.75/2.14 % (575516)Instruction limit reached!
% 10.75/2.14 % (575516)------------------------------
% 10.75/2.14 % (575516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (575516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (575516)CaDiCaL version: 2.1.3
% 10.75/2.14 % (575516)Termination reason: Instruction limit
% 10.75/2.14 % (575516)Termination phase: Saturation
% 10.75/2.14 % (575516)Time elapsed: 0.094 s
% 10.75/2.14 % (575516)Peak memory usage: 90 MB
% 10.75/2.14 % (575516)Instructions burned: 139 (million)
% 10.75/2.14 % (575525)lrs+10_1_sil=8000:sp=occurrence:random_seed=57832376:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.75/2.14 % (575526)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2267913929:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.75/2.14 % (575527)lrs+1011_1_sil=32000:sp=occurrence:random_seed=426644237:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.75/2.14 % (575514)------------------------------
% 10.75/2.14 % (575514)------------------------------
% 10.75/2.14 % (575526)Instruction limit reached!
% 10.75/2.14 % (575526)------------------------------
% 10.75/2.14 % (575526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (575526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.51/2.80 % (575526)CaDiCaL version: 2.1.3
% 14.51/2.80 % (575526)Termination reason: Instruction limit
% 14.51/2.80 % (575526)Termination phase: Saturation
% 14.51/2.80 % (575526)Time elapsed: 0.081 s
% 14.51/2.80 % (575526)Peak memory usage: 91 MB
% 14.51/2.80 % (575526)Instructions burned: 157 (million)
% 14.51/2.80 % (575527)Instruction limit reached!
% 14.51/2.80 % (575527)------------------------------
% 14.51/2.80 % (575527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.51/2.80 % (575527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.51/2.80 % (575527)CaDiCaL version: 2.1.3
% 14.51/2.80 % (575527)Termination reason: Instruction limit
% 14.51/2.80 % (575527)Termination phase: Saturation
% 14.51/2.80 % (575527)Time elapsed: 0.125 s
% 14.51/2.80 % (575527)Peak memory usage: 91 MB
% 14.51/2.80 % (575527)Instructions burned: 326 (million)
% 14.51/2.80 % (575525)Instruction limit reached!
% 14.51/2.80 % (575525)------------------------------
% 14.51/2.80 % (575525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.51/2.80 % (575525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.51/2.80 % (575525)CaDiCaL version: 2.1.3
% 14.51/2.80 % (575525)Termination reason: Instruction limit
% 14.51/2.80 % (575525)Termination phase: Saturation
% 14.51/2.80 % (575525)Time elapsed: 0.180 s
% 14.51/2.80 % (575525)Peak memory usage: 93 MB
% 14.51/2.80 % (575525)Instructions burned: 286 (million)
% 14.51/2.80 % (575531)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=267524754:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.51/2.80 % (575532)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=490819584:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.51/2.80 % (575532)Refutation not found, incomplete strategy
% 14.51/2.80 % (575532)------------------------------
% 14.51/2.80 % (575532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.51/2.80 % (575532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.51/2.80 % (575532)CaDiCaL version: 2.1.3
% 14.51/2.80 % (575532)Termination reason: Refutation not found, incomplete strategy
% 14.51/2.80 % (575532)Time elapsed: 0.014 s
% 14.51/2.80 % (575532)Peak memory usage: 89 MB
% 14.51/2.80 % (575532)Instructions burned: 20 (million)
% 14.51/2.80 % (575533)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=373189670:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.51/2.80 % (575534)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2205585735:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.51/2.80 % (575531)Instruction limit reached!
% 14.51/2.80 % (575531)------------------------------
% 14.51/2.80 % (575531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.51/2.80 % (575531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.51/2.80 % (575531)CaDiCaL version: 2.1.3
% 14.51/2.80 % (575531)Termination reason: Instruction limit
% 14.51/2.80 % (575531)Termination phase: Saturation
% 14.51/2.80 % (575531)Time elapsed: 0.144 s
% 14.51/2.80 % (575531)Peak memory usage: 94 MB
% 14.51/2.80 % (575531)Instructions burned: 248 (million)
% 14.51/2.80 % (575534)Instruction limit reached!
% 14.51/2.80 % (575534)------------------------------
% 14.51/2.80 % (575534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.51/2.80 % (575534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.51/2.80 % (575534)CaDiCaL version: 2.1.3
% 14.51/2.80 % (575534)Termination reason: Instruction limit
% 14.51/2.80 % (575534)Termination phase: Saturation
% 14.51/2.80 % (575534)Time elapsed: 0.075 s
% 14.51/2.80 % (575534)Peak memory usage: 90 MB
% 14.51/2.80 % (575534)Instructions burned: 114 (million)
% 14.51/2.80 % (575539)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2649245226:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 14.51/2.80 % (575532)------------------------------
% 14.51/2.80 % (575532)------------------------------
% 14.51/2.80 % (575540)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1236802701:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.51/2.80 % (575539)Instruction limit reached!
% 14.51/2.80 % (575539)------------------------------
% 14.51/2.80 % (575539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575539)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575539)Termination reason: Instruction limit
% 17.28/3.12 % (575539)Termination phase: Saturation
% 17.28/3.12 % (575539)Time elapsed: 0.067 s
% 17.28/3.12 % (575539)Peak memory usage: 89 MB
% 17.28/3.12 % (575539)Instructions burned: 127 (million)
% 17.28/3.12 % (575540)Instruction limit reached!
% 17.28/3.12 % (575540)------------------------------
% 17.28/3.12 % (575540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575540)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575540)Termination reason: Instruction limit
% 17.28/3.12 % (575540)Termination phase: Saturation
% 17.28/3.12 % (575540)Time elapsed: 0.063 s
% 17.28/3.12 % (575540)Peak memory usage: 89 MB
% 17.28/3.12 % (575540)Instructions burned: 114 (million)
% 17.28/3.12 % (575542)lrs+10_1_sil=8000:sp=occurrence:random_seed=518948717:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 17.28/3.12 % (575544)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1581056266:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 17.28/3.12 % (575544)Refutation not found, incomplete strategy
% 17.28/3.12 % (575544)------------------------------
% 17.28/3.12 % (575544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575544)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575544)Termination reason: Refutation not found, incomplete strategy
% 17.28/3.12 % (575544)Time elapsed: 0.007 s
% 17.28/3.12 % (575544)Peak memory usage: 88 MB
% 17.28/3.12 % (575544)Instructions burned: 10 (million)
% 17.28/3.12 % (575545)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=736532298:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 17.28/3.12 % (575544)------------------------------
% 17.28/3.12 % (575544)------------------------------
% 17.28/3.12 % (575551)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1383093663:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 17.28/3.12 % (575533)Instruction limit reached!
% 17.28/3.12 % (575533)------------------------------
% 17.28/3.12 % (575533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575533)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575533)Termination reason: Instruction limit
% 17.28/3.12 % (575533)Termination phase: Saturation
% 17.28/3.12 % (575533)Time elapsed: 0.857 s
% 17.28/3.12 % (575533)Peak memory usage: 140 MB
% 17.28/3.12 % (575533)Instructions burned: 2353 (million)
% 17.28/3.12 % (575551)Instruction limit reached!
% 17.28/3.12 % (575551)------------------------------
% 17.28/3.12 % (575551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575551)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575551)Termination reason: Instruction limit
% 17.28/3.12 % (575551)Termination phase: Saturation
% 17.28/3.12 % (575551)Time elapsed: 0.076 s
% 17.28/3.12 % (575551)Peak memory usage: 91 MB
% 17.28/3.12 % (575551)Instructions burned: 134 (million)
% 17.28/3.12 % (575542)Instruction limit reached!
% 17.28/3.12 % (575542)------------------------------
% 17.28/3.12 % (575542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575542)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575542)Termination reason: Instruction limit
% 17.28/3.12 % (575542)Termination phase: Saturation
% 17.28/3.12 % (575542)Time elapsed: 0.533 s
% 17.28/3.12 % (575542)Peak memory usage: 98 MB
% 17.28/3.12 % (575542)Instructions burned: 908 (million)
% 17.28/3.12 % (575553)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3657922868:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 17.28/3.12 % (575553)Refutation not found, incomplete strategy
% 17.28/3.12 % (575553)------------------------------
% 17.28/3.12 % (575553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575553)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575553)Termination reason: Refutation not found, incomplete strategy
% 17.28/3.12 % (575553)Time elapsed: 0.002 s
% 17.28/3.12 % (575553)Peak memory usage: 88 MB
% 17.28/3.12 % (575553)Instructions burned: 7 (million)
% 17.28/3.12 % (575554)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2702832215:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 17.28/3.12 % (575555)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2495338200:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 17.28/3.12 % (575553)------------------------------
% 17.28/3.12 % (575553)------------------------------
% 17.28/3.12 % (575555)Instruction limit reached!
% 17.28/3.12 % (575555)------------------------------
% 17.28/3.12 % (575555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575555)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575555)Termination reason: Instruction limit
% 17.28/3.12 % (575555)Termination phase: Saturation
% 17.28/3.12 % (575555)Time elapsed: 0.076 s
% 17.28/3.12 % (575555)Peak memory usage: 91 MB
% 17.28/3.12 % (575555)Instructions burned: 126 (million)
% 17.28/3.12 % (575559)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1470871975:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 17.28/3.12 % (575559)Instruction limit reached!
% 17.28/3.12 % (575559)------------------------------
% 17.28/3.12 % (575559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575559)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575559)Termination reason: Instruction limit
% 17.28/3.12 % (575559)Termination phase: Saturation
% 17.28/3.12 % (575559)Time elapsed: 0.046 s
% 17.28/3.12 % (575559)Peak memory usage: 90 MB
% 17.28/3.12 % (575559)Instructions burned: 135 (million)
% 17.28/3.12 % (575560)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2896571544:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 17.28/3.12 % (575562)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=547413523:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 17.28/3.12 % (575560)Instruction limit reached!
% 17.28/3.12 % (575560)------------------------------
% 17.28/3.12 % (575560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575560)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575560)Termination reason: Instruction limit
% 17.28/3.12 % (575560)Termination phase: Saturation
% 17.28/3.12 % (575560)Time elapsed: 0.076 s
% 17.28/3.12 % (575560)Peak memory usage: 90 MB
% 17.28/3.12 % (575560)Instructions burned: 141 (million)
% 17.28/3.12 % (575562)Instruction limit reached!
% 17.28/3.12 % (575562)------------------------------
% 17.28/3.12 % (575562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575562)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575562)Termination reason: Instruction limit
% 17.28/3.12 % (575562)Termination phase: Saturation
% 17.28/3.12 % (575562)Time elapsed: 0.132 s
% 17.28/3.12 % (575562)Peak memory usage: 94 MB
% 17.28/3.12 % (575562)Instructions burned: 432 (million)
% 17.28/3.12 % (575565)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4244247067:i=6060:aac=none:ins=25_2980 on theBenchmark for (2980ds/6060Mi)
% 17.28/3.12 % (575566)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=229944743:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 17.28/3.12 % (575566)Instruction limit reached!
% 17.28/3.12 % (575566)------------------------------
% 17.28/3.12 % (575566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.12 % (575566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.12 % (575566)CaDiCaL version: 2.1.3
% 17.28/3.12 % (575566)Termination reason: Instruction limit
% 17.28/3.12 % (575566)Termination phase: Saturation
% 17.28/3.12 % (575566)Time elapsed: 0.046 s
% 17.28/3.12 % (575566)Peak memory usage: 92 MB
% 17.28/3.12 % (575566)Instructions burned: 150 (million)
% 17.28/3.12 % (575545)First to succeed.
% 17.28/3.12 % (575545)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-575506"
% 17.28/3.12 % (575569)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1742686768:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 17.28/3.12 % (575545)Refutation found. Thanks to Tanya!
% 17.28/3.12 % SZS status Theorem for theBenchmark
% 17.28/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 18.11/3.32 % (575545)------------------------------
% 18.11/3.32 % (575545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.11/3.32 % (575545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/3.32 % (575545)CaDiCaL version: 2.1.3
% 18.11/3.32 % (575545)Termination reason: Refutation
% 18.11/3.32 % (575545)Time elapsed: 1.201 s
% 18.11/3.32 % (575545)Peak memory usage: 136 MB
% 18.11/3.32 % (575545)Instructions burned: 1838 (million)
% 18.11/3.32 % (575545)------------------------------
% 18.11/3.32 % (575545)------------------------------
% 18.11/3.32 % (575506)Success in time 2.506 s
% 18.11/3.32 % Vampire exiting
%------------------------------------------------------------------------------