%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU431+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 : n002.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 12:48:59 PM UTC 2026
% Result : Theorem 68.75s 10.55s
% Output : Refutation 69.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 42
% Syntax : Number of formulae : 338 ( 45 unt; 21 def)
% Number of atoms : 1339 ( 179 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1726 ( 725 ~; 827 |; 109 &)
% ( 30 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 14 con; 0-5 aty)
% Number of variables : 563 ( 0 sgn 528 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X4 = a_4_2_relset_2(X0,X1,X2,X3)
=> k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) = k8_setfam_1(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X4 = a_4_2_relset_2(X0,X1,X2,X3)
=> k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) = k8_setfam_1(X1,X4) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( ( X1 != k1_xboole_0
=> k8_setfam_1(X0,X1) = k6_setfam_1(X0,X1) )
& ( X1 = k1_xboole_0
=> k8_setfam_1(X0,X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_setfam_1) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f8,axiom,
! [X0,X1] :
( ( X0 != k1_xboole_0
=> ( X1 = k1_setfam_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ! [X3] :
( r2_hidden(X3,X0)
=> r2_hidden(X2,X3) ) ) ) )
& ( X0 = k1_xboole_0
=> ( X1 = k1_setfam_1(X0)
<=> X1 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_setfam_1) ).
fof(f10,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f23,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f28,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(f33,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(f42,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X2)
& m2_relset_1(X3,X1,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
=> ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_4_2_relset_2) ).
fof(f53,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f55,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k6_setfam_1(X0,X1) = k1_setfam_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_setfam_1) ).
fof(f60,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f62,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_2) ).
fof(f63,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X5,X2)
=> r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relset_2) ).
fof(f67,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f71,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f74,axiom,
! [X0] :
( ~ ( ? [X1] :
( X1 != k1_xboole_0
& r2_hidden(X1,X0) )
& k3_tarski(X0) = k1_xboole_0 )
& ~ ( k3_tarski(X0) != k1_xboole_0
& ! [X1] :
~ ( X1 != k1_xboole_0
& r2_hidden(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_orders_1) ).
fof(f76,plain,
! [X0] :
( ~ ( ? [X1] :
( X1 != k1_xboole_0
& r2_hidden(X1,X0) )
& k3_tarski(X0) = k1_xboole_0 )
& ~ ( k3_tarski(X0) != k1_xboole_0
& ! [X2] :
~ ( k1_xboole_0 != X2
& r2_hidden(X2,X0) ) ) ),
inference(rectify,[],[f74]) ).
fof(f83,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) != k8_setfam_1(X1,X4)
& X4 = a_4_2_relset_2(X0,X1,X2,X3)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m2_relset_1(X2,X0,X1) )
& ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f84,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) != k8_setfam_1(X1,X4)
& X4 = a_4_2_relset_2(X0,X1,X2,X3)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m2_relset_1(X2,X0,X1) )
& ~ v1_xboole_0(X1) ),
inference(flattening,[],[f83]) ).
fof(f88,plain,
! [X0,X1] :
( ( ( k8_setfam_1(X0,X1) = k6_setfam_1(X0,X1)
| k1_xboole_0 = X1 )
& ( k8_setfam_1(X0,X1) = X0
| k1_xboole_0 != X1 ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f89,plain,
! [X0,X1] :
( ( ( X1 = k1_setfam_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ! [X3] :
( r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) ) ) )
| k1_xboole_0 = X0 )
& ( ( X1 = k1_setfam_1(X0)
<=> X1 = k1_xboole_0 )
| k1_xboole_0 != X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f90,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f95,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f23]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f102,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,[],[f33]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(ennf_transformation,[],[f44]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(flattening,[],[f105]) ).
fof(f110,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f53]) ).
fof(f112,plain,
! [X0,X1] :
( k6_setfam_1(X0,X1) = k1_setfam_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f55]) ).
fof(f115,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f125,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f126,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f125]) ).
fof(f129,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f133,plain,
! [X0] :
( ( ! [X1] :
( k1_xboole_0 = X1
| ~ r2_hidden(X1,X0) )
| k1_xboole_0 != k3_tarski(X0) )
& ( k1_xboole_0 = k3_tarski(X0)
| ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X0) ) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f134,plain,
( k8_relset_2(sK0,sK1,k5_setfam_1(sK0,sK3),sK2) != k8_setfam_1(sK1,sK4)
& sK4 = a_4_2_relset_2(sK0,sK1,sK2,sK3)
& m1_subset_1(sK4,k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m2_relset_1(sK2,sK0,sK1)
& ~ v1_xboole_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f84]) ).
fof(f135,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f136,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0,X1] :
( ( ( ( X1 = k1_setfam_1(X0)
| ? [X2] :
( ( ? [X3] :
( ~ r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ! [X3] :
( r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ? [X3] :
( ~ r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) )
& ( ! [X3] :
( r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) ) )
| k1_setfam_1(X0) != X1 ) )
| k1_xboole_0 = X0 )
& ( ( ( X1 = k1_setfam_1(X0)
| k1_xboole_0 != X1 )
& ( X1 = k1_xboole_0
| k1_setfam_1(X0) != X1 ) )
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f138,plain,
! [X0,X1] :
( ( ( ( X1 = k1_setfam_1(X0)
| ? [X2] :
( ( ? [X3] :
( ~ r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ! [X4] :
( r2_hidden(X2,X4)
| ~ r2_hidden(X4,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ? [X6] :
( ~ r2_hidden(X5,X6)
& r2_hidden(X6,X0) ) )
& ( ! [X7] :
( r2_hidden(X5,X7)
| ~ r2_hidden(X7,X0) )
| ~ r2_hidden(X5,X1) ) )
| k1_setfam_1(X0) != X1 ) )
| k1_xboole_0 = X0 )
& ( ( ( X1 = k1_setfam_1(X0)
| k1_xboole_0 != X1 )
& ( X1 = k1_xboole_0
| k1_setfam_1(X0) != X1 ) )
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( ( ( ( X1 = k1_setfam_1(X0)
| ( ( ( ~ r2_hidden(sK5(X0,X1),sK6(X0,X1))
& r2_hidden(sK6(X0,X1),X0) )
| ~ r2_hidden(sK5(X0,X1),X1) )
& ( ! [X4] :
( r2_hidden(sK5(X0,X1),X4)
| ~ r2_hidden(X4,X0) )
| r2_hidden(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ( ~ r2_hidden(X5,sK7(X0,X5))
& r2_hidden(sK7(X0,X5),X0) ) )
& ( ! [X7] :
( r2_hidden(X5,X7)
| ~ r2_hidden(X7,X0) )
| ~ r2_hidden(X5,X1) ) )
| k1_setfam_1(X0) != X1 ) )
| k1_xboole_0 = X0 )
& ( ( ( X1 = k1_setfam_1(X0)
| k1_xboole_0 != X1 )
& ( X1 = k1_xboole_0
| k1_setfam_1(X0) != X1 ) )
| k1_xboole_0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X3,sK6(X0,X1)),skolemize(X6,sK7(X0,X5))],[f138]) ).
fof(f143,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f144,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK9(X0,X1),X1)
& r2_hidden(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f147,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X2,X4)
& r2_hidden(X4,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ? [X7] :
( r2_hidden(X5,X7)
& r2_hidden(X7,X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK10(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK10(X0,X1),X1) )
& ( ( r2_hidden(sK10(X0,X1),sK11(X0,X1))
& r2_hidden(sK11(X0,X1),X0) )
| r2_hidden(sK10(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK12(X0,X5))
& r2_hidden(sK12(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X2,sK10(X0,X1)),skolemize(X4,sK11(X0,X1)),skolemize(X7,sK12(X0,X5))],[f147]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(nnf_transformation,[],[f106]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(X1))
& k8_relset_2(X1,X2,X6,X3) = X0
& r2_hidden(X6,X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(rectify,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ( m1_subset_1(sK17(X0,X1,X2,X3,X4),k1_zfmisc_1(X1))
& k8_relset_2(X1,X2,sK17(X0,X1,X2,X3,X4),X3) = X0
& r2_hidden(sK17(X0,X1,X2,X3,X4),X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X6,sK17(X0,X1,X2,X3,X4))],[f154]) ).
fof(f164,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f165,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK24(X2,X3,X4))))
& r2_hidden(sK24(X2,X3,X4),X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X5,sK24(X2,X3,X4))],[f165]) ).
fof(f169,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f170,plain,
! [X0] :
( ( ! [X1] :
( k1_xboole_0 = X1
| ~ r2_hidden(X1,X0) )
| k1_xboole_0 != k3_tarski(X0) )
& ( k1_xboole_0 = k3_tarski(X0)
| ( k1_xboole_0 != sK26(X0)
& r2_hidden(sK26(X0),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0))],[f133]) ).
fof(f171,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f134]) ).
fof(f172,plain,
m2_relset_1(sK2,sK0,sK1),
inference(cnf_transformation,[],[f134]) ).
fof(f173,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f134]) ).
fof(f174,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f134]) ).
fof(f175,plain,
sK4 = a_4_2_relset_2(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f134]) ).
fof(f176,plain,
k8_relset_2(sK0,sK1,k5_setfam_1(sK0,sK3),sK2) != k8_setfam_1(sK1,sK4),
inference(cnf_transformation,[],[f134]) ).
fof(f180,plain,
! [X0,X1] :
( k8_setfam_1(X0,X1) = X0
| k1_xboole_0 != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f181,plain,
! [X0,X1] :
( k8_setfam_1(X0,X1) = k6_setfam_1(X0,X1)
| k1_xboole_0 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f184,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f187,plain,
! [X0,X1,X7,X5] :
( r2_hidden(X5,X7)
| ~ r2_hidden(X7,X0)
| ~ r2_hidden(X5,X1)
| k1_setfam_1(X0) != X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f188,plain,
! [X0,X1,X5] :
( r2_hidden(X5,X1)
| r2_hidden(sK7(X0,X5),X0)
| k1_setfam_1(X0) != X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f189,plain,
! [X0,X1,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,sK7(X0,X5))
| k1_setfam_1(X0) != X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f197,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f198,plain,
! [X0,X1] :
( r2_hidden(sK9(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f199,plain,
! [X0,X1] :
( ~ r2_hidden(sK9(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f201,plain,
! [X0,X1,X5] :
( r2_hidden(sK12(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f202,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK12(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f203,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f211,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f95]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f215,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f100]) ).
fof(f217,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,[],[f102]) ).
fof(f228,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f42]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK17(X0,X1,X2,X3,X4),X4)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f155]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] :
( k8_relset_2(X1,X2,sK17(X0,X1,X2,X3,X4),X3) = X0
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f155]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK17(X0,X1,X2,X3,X4),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f155]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f155]) ).
fof(f247,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f110]) ).
fof(f249,plain,
! [X0,X1] :
( k6_setfam_1(X0,X1) = k1_setfam_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f255,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ r2_hidden(X5,X3)
| r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| r2_hidden(sK24(X2,X3,X4),X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f261,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK24(X2,X3,X4))))
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f266,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f126]) ).
fof(f271,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f274,plain,
! [X0] :
( r2_hidden(sK26(X0),X0)
| k1_xboole_0 = k3_tarski(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f277,plain,
! [X0] :
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k8_setfam_1(X0,k1_xboole_0) = X0 ),
inference(equality_resolution,[],[f180]) ).
fof(f280,plain,
! [X0,X5] :
( ~ r2_hidden(X5,sK7(X0,X5))
| r2_hidden(X5,k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(equality_resolution,[],[f189]) ).
fof(f281,plain,
! [X0,X5] :
( r2_hidden(sK7(X0,X5),X0)
| r2_hidden(X5,k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(equality_resolution,[],[f188]) ).
fof(f282,plain,
! [X0,X7,X5] :
( ~ r2_hidden(X5,k1_setfam_1(X0))
| ~ r2_hidden(X7,X0)
| r2_hidden(X5,X7)
| k1_xboole_0 = X0 ),
inference(equality_resolution,[],[f187]) ).
fof(f290,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f203]) ).
fof(f291,plain,
! [X0,X5] :
( r2_hidden(X5,sK12(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f202]) ).
fof(f292,plain,
! [X0,X5] :
( r2_hidden(sK12(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f201]) ).
fof(f293,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k8_relset_2(X1,X2,X5,X3),a_4_2_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(equality_resolution,[],[f233]) ).
fof(f296,definition,
sF27 = k5_setfam_1(sK0,sK3),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f297,plain,
k5_setfam_1(sK0,sK3) = sF27,
inference(reorient_equations,[],[f296]) ).
fof(f298,definition,
sF28 = k8_relset_2(sK0,sK1,sF27,sK2),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f299,plain,
k8_relset_2(sK0,sK1,sF27,sK2) = sF28,
inference(reorient_equations,[],[f298]) ).
fof(f300,definition,
sF29 = k8_setfam_1(sK1,sK4),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f301,plain,
k8_setfam_1(sK1,sK4) = sF29,
inference(reorient_equations,[],[f300]) ).
fof(f302,plain,
sF28 != sF29,
inference(definition_folding,[],[f176,f301,f299,f297]) ).
fof(f303,definition,
sF30 = a_4_2_relset_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f304,plain,
a_4_2_relset_2(sK0,sK1,sK2,sK3) = sF30,
inference(reorient_equations,[],[f303]) ).
fof(f305,plain,
sK4 = sF30,
inference(definition_folding,[],[f175,f304]) ).
fof(f306,definition,
sF31 = k1_zfmisc_1(sK1),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f307,plain,
k1_zfmisc_1(sK1) = sF31,
inference(reorient_equations,[],[f306]) ).
fof(f308,definition,
sF32 = k1_zfmisc_1(sF31),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f309,plain,
k1_zfmisc_1(sF31) = sF32,
inference(reorient_equations,[],[f308]) ).
fof(f310,plain,
m1_subset_1(sK4,sF32),
inference(definition_folding,[],[f174,f309,f307]) ).
fof(f311,definition,
sF33 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f312,plain,
k1_zfmisc_1(sK0) = sF33,
inference(reorient_equations,[],[f311]) ).
fof(f313,definition,
sF34 = k1_zfmisc_1(sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f314,plain,
k1_zfmisc_1(sF33) = sF34,
inference(reorient_equations,[],[f313]) ).
fof(f315,plain,
m1_subset_1(sK3,sF34),
inference(definition_folding,[],[f173,f314,f312]) ).
fof(f316,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k8_relset_2(X1,X2,X5,X3),a_4_2_relset_2(X1,X2,X3,X4))
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(forward_subsumption_resolution,[],[f293,f268]) ).
fof(f317,plain,
sK4 = a_4_2_relset_2(sK0,sK1,sK2,sK3),
inference(forward_demodulation,[],[f304,f305]) ).
fof(f318,plain,
( m1_subset_1(sF27,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[],[f211,f297]) ).
fof(f319,plain,
( m1_subset_1(sF27,sF33)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_demodulation,[],[f318,f312]) ).
fof(f320,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF33))
| m1_subset_1(sF27,sF33) ),
inference(forward_demodulation,[],[f319,f312]) ).
fof(f321,plain,
( ~ m1_subset_1(sK3,sF34)
| m1_subset_1(sF27,sF33) ),
inference(forward_demodulation,[],[f320,f314]) ).
fof(f322,plain,
m1_subset_1(sF27,sF33),
inference(forward_subsumption_resolution,[],[f321,f315]) ).
fof(f340,plain,
( sF27 = k3_tarski(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[],[f297,f247]) ).
fof(f342,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF33))
| sF27 = k3_tarski(sK3) ),
inference(forward_demodulation,[],[f340,f312]) ).
fof(f344,plain,
( ~ m1_subset_1(sK3,sF34)
| sF27 = k3_tarski(sK3) ),
inference(forward_demodulation,[],[f342,f314]) ).
fof(f346,plain,
sF27 = k3_tarski(sK3),
inference(forward_subsumption_resolution,[],[f344,f315]) ).
fof(f350,plain,
( m1_subset_1(sF28,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f214,f299]) ).
fof(f357,plain,
( m1_subset_1(sF28,sF31)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f350,f307]) ).
fof(f359,plain,
( ~ m1_subset_1(sF27,sF33)
| m1_subset_1(sF28,sF31)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f357,f312]) ).
fof(f360,plain,
( m1_subset_1(sF28,sF31)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f359,f322]) ).
fof(f362,definition,
( spl35_1
<=> m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl35_1])],[avatar_definition]) ).
fof(f363,plain,
( m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl35_1 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f364,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl35_1 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f366,definition,
( spl35_2
<=> m1_subset_1(sF28,sF31) ),
introduced(definition,[new_symbols(definition,[spl35_2])],[avatar_definition]) ).
fof(f368,plain,
( m1_subset_1(sF28,sF31)
| ~ spl35_2 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f369,plain,
( ~ spl35_1
| spl35_2 ),
inference(avatar_split_clause,[],[f360,f366,f362]) ).
fof(f417,plain,
( ~ m2_relset_1(sK2,sK0,sK1)
| spl35_1 ),
inference(unit_resulting_resolution,[],[f217,f364]) ).
fof(f427,plain,
( $false
| spl35_1 ),
inference(forward_subsumption_resolution,[],[f417,f172]) ).
fof(f428,plain,
spl35_1,
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f433,plain,
! [X0,X1] :
( k1_setfam_1(X0) = k8_setfam_1(X1,X0)
| k1_xboole_0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(superposition,[],[f181,f249]) ).
fof(f434,plain,
! [X0,X1] :
( k1_setfam_1(X0) = k8_setfam_1(X1,X0)
| k1_xboole_0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(duplicate_literal_removal,[],[f433]) ).
fof(f438,plain,
! [X0] :
( r2_hidden(k8_relset_2(sK0,sK1,X0,sK2),sK4)
| ~ r2_hidden(X0,sK3)
| v1_xboole_0(sK1)
| ~ m2_relset_1(sK2,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[],[f316,f317]) ).
fof(f440,plain,
! [X0] :
( r2_hidden(k8_relset_2(sK0,sK1,X0,sK2),sK4)
| ~ r2_hidden(X0,sK3)
| ~ m2_relset_1(sK2,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f438,f171]) ).
fof(f442,plain,
! [X0] :
( r2_hidden(k8_relset_2(sK0,sK1,X0,sK2),sK4)
| ~ r2_hidden(X0,sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f440,f172]) ).
fof(f444,plain,
! [X0] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF33))
| r2_hidden(k8_relset_2(sK0,sK1,X0,sK2),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(forward_demodulation,[],[f442,f312]) ).
fof(f446,plain,
! [X0] :
( ~ m1_subset_1(sK3,sF34)
| r2_hidden(k8_relset_2(sK0,sK1,X0,sK2),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(forward_demodulation,[],[f444,f314]) ).
fof(f448,plain,
! [X0] :
( r2_hidden(k8_relset_2(sK0,sK1,X0,sK2),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f446,f315]) ).
fof(f493,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sF27)
| r2_hidden(X0,k9_relat_1(sK2,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f258,f299]) ).
fof(f496,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sF27)
| r2_hidden(X0,k9_relat_1(sK2,k1_tarski(X1)))
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0)) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f493,f363]) ).
fof(f498,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF27,sF33)
| ~ r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sF27)
| r2_hidden(X0,k9_relat_1(sK2,k1_tarski(X1))) )
| ~ spl35_1 ),
inference(forward_demodulation,[],[f496,f312]) ).
fof(f499,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK2,k1_tarski(X1)))
| ~ r2_hidden(X1,sF27)
| ~ r2_hidden(X0,sF28) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f498,f322]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X1,k8_relset_2(X2,X3,X0,sK2))
| ~ r2_hidden(X1,sF28)
| ~ r2_hidden(sK24(X0,X1,sK2),sF27)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X3) )
| ~ spl35_1 ),
inference(resolution,[],[f499,f261]) ).
fof(f553,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k8_setfam_1(X1,X2))
| m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(resolution,[],[f268,f215]) ).
fof(f558,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF31)
| m1_subset_1(X1,sK1) ),
inference(superposition,[],[f268,f307]) ).
fof(f568,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK24(X0,sK9(X1,k8_relset_2(X2,X3,X0,X4)),X4),X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(sK9(X1,k8_relset_2(X2,X3,X0,X4)),X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| r1_tarski(X1,k8_relset_2(X2,X3,X0,X4)) ),
inference(resolution,[],[f260,f199]) ).
fof(f569,plain,
! [X0] :
( r2_hidden(X0,sF28)
| r2_hidden(sK24(sF27,X0,sK2),sF27)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(superposition,[],[f260,f299]) ).
fof(f570,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK24(sK17(X0,X2,X3,X4,X5),X1,X4),sK17(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK17(X0,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(superposition,[],[f260,f231]) ).
fof(f571,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK24(sK17(X0,X2,X3,X4,X5),X1,X4),sK17(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK17(X0,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(duplicate_literal_removal,[],[f570]) ).
fof(f573,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK24(sK17(X0,X2,X3,X4,X5),X1,X4),sK17(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(forward_subsumption_resolution,[],[f571,f232]) ).
fof(f574,plain,
( ! [X0] :
( r2_hidden(X0,sF28)
| r2_hidden(sK24(sF27,X0,sK2),sF27)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f569,f363]) ).
fof(f575,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(sK24(sK17(X0,X2,X3,X4,X5),X1,X4),sK17(X0,X2,X3,X4,X5))
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(forward_subsumption_resolution,[],[f573,f217]) ).
fof(f576,plain,
( ! [X0] :
( r2_hidden(X0,sF28)
| r2_hidden(sK24(sF27,X0,sK2),sF27)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0)) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f574,f171]) ).
fof(f577,plain,
( ! [X0] :
( ~ m1_subset_1(sF27,sF33)
| r2_hidden(X0,sF28)
| r2_hidden(sK24(sF27,X0,sK2),sF27)
| ~ m1_subset_1(X0,sK1) )
| ~ spl35_1 ),
inference(forward_demodulation,[],[f576,f312]) ).
fof(f578,plain,
( ! [X0] :
( r2_hidden(sK24(sF27,X0,sK2),sF27)
| r2_hidden(X0,sF28)
| ~ m1_subset_1(X0,sK1) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f577,f322]) ).
fof(f589,plain,
! [X0] :
( ~ m1_subset_1(X0,sF31)
| r1_tarski(X0,sK1) ),
inference(superposition,[],[f266,f307]) ).
fof(f591,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| r1_tarski(X0,sF33) ),
inference(superposition,[],[f266,f314]) ).
fof(f601,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF28)
| ~ r2_hidden(sK24(sK17(X0,X2,X3,sK2,X4),X1,sK2),sF27)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK17(X0,X2,X3,sK2,X4),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK2,X4))
| v1_xboole_0(X3)
| ~ m2_relset_1(sK2,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl35_1 ),
inference(superposition,[],[f500,f231]) ).
fof(f602,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF28)
| ~ r2_hidden(sK24(sK17(X0,X2,X3,sK2,X4),X1,sK2),sF27)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK17(X0,X2,X3,sK2,X4),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK2,X4))
| ~ m2_relset_1(sK2,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl35_1 ),
inference(duplicate_literal_removal,[],[f601]) ).
fof(f604,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF28)
| ~ r2_hidden(sK24(sK17(X0,X2,X3,sK2,X4),X1,sK2),sF27)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK2,X4))
| ~ m2_relset_1(sK2,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f602,f232]) ).
fof(f605,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK24(sK17(X0,X2,X3,sK2,X4),X1,sK2),sF27)
| ~ r2_hidden(X1,sF28)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK2,X4))
| ~ m2_relset_1(sK2,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f604,f217]) ).
fof(f787,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK3)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF27) ),
inference(superposition,[],[f290,f346]) ).
fof(f789,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,sK17(X1,X2,X3,X4,sK3))
| r2_hidden(X0,sF27)
| ~ r2_hidden(X1,a_4_2_relset_2(X2,X3,X4,sK3))
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(resolution,[],[f787,f230]) ).
fof(f796,definition,
( spl35_23
<=> k1_xboole_0 = sF27 ),
introduced(definition,[new_symbols(definition,[spl35_23])],[avatar_definition]) ).
fof(f797,plain,
( k1_xboole_0 != sF27
| spl35_23 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( k1_xboole_0 = sF27
| ~ spl35_23 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f859,plain,
r1_tarski(sK3,sF33),
inference(resolution,[],[f591,f315]) ).
fof(f861,plain,
! [X0] :
( ~ r2_hidden(X0,sK3)
| r2_hidden(X0,sF33) ),
inference(resolution,[],[f859,f197]) ).
fof(f923,plain,
( sF29 = k1_setfam_1(sK4)
| k1_xboole_0 = sK4
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(superposition,[],[f434,f301]) ).
fof(f934,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF31))
| sF29 = k1_setfam_1(sK4)
| k1_xboole_0 = sK4 ),
inference(forward_demodulation,[],[f923,f307]) ).
fof(f937,plain,
( ~ m1_subset_1(sK4,sF32)
| sF29 = k1_setfam_1(sK4)
| k1_xboole_0 = sK4 ),
inference(forward_demodulation,[],[f934,f309]) ).
fof(f939,plain,
( sF29 = k1_setfam_1(sK4)
| k1_xboole_0 = sK4 ),
inference(forward_subsumption_resolution,[],[f937,f310]) ).
fof(f941,definition,
( spl35_30
<=> k1_xboole_0 = sK4 ),
introduced(definition,[new_symbols(definition,[spl35_30])],[avatar_definition]) ).
fof(f942,plain,
( k1_xboole_0 != sK4
| spl35_30 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f943,plain,
( k1_xboole_0 = sK4
| ~ spl35_30 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f945,definition,
( spl35_31
<=> sF29 = k1_setfam_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl35_31])],[avatar_definition]) ).
fof(f947,plain,
( sF29 = k1_setfam_1(sK4)
| ~ spl35_31 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f949,plain,
( spl35_30
| spl35_31 ),
inference(avatar_split_clause,[],[f939,f945,f941]) ).
fof(f955,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK0,sK1,X0,sK2),k1_xboole_0)
| ~ r2_hidden(X0,sK3) )
| ~ spl35_30 ),
inference(backward_demodulation,[],[f448,f943]) ).
fof(f1000,plain,
! [X0] : ~ r2_hidden(X0,k1_xboole_0),
inference(unit_resulting_resolution,[],[f271,f228]) ).
fof(f1139,definition,
( spl35_42
<=> ! [X0] :
( r2_hidden(X0,sF28)
| ~ m1_subset_1(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl35_42])],[avatar_definition]) ).
fof(f1140,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF28) )
| ~ spl35_42 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1228,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK24(sK17(X0,X1,X2,X3,sK3),X4,X3),sF27)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK3))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X4,X0)
| ~ m1_subset_1(X4,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(resolution,[],[f789,f575]) ).
fof(f1230,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK24(sK17(X0,X1,X2,X3,sK3),X4,X3),sF27)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK3))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X4,X0)
| ~ m1_subset_1(X4,X2) ),
inference(duplicate_literal_removal,[],[f1228]) ).
fof(f1284,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,sK2,sK3))
| v1_xboole_0(X2)
| ~ m2_relset_1(sK2,X1,X2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X3,X0)
| ~ m1_subset_1(X3,X2)
| ~ r2_hidden(X3,sF28)
| r2_hidden(X3,X0)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,sK2,sK3))
| ~ m2_relset_1(sK2,X1,X2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(X1))) )
| ~ spl35_1 ),
inference(resolution,[],[f1230,f605]) ).
fof(f1289,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,sK2,sK3))
| v1_xboole_0(X2)
| ~ m2_relset_1(sK2,X1,X2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X3,X0)
| ~ m1_subset_1(X3,X2)
| ~ r2_hidden(X3,sF28) )
| ~ spl35_1 ),
inference(duplicate_literal_removal,[],[f1284]) ).
fof(f1339,plain,
! [X0] :
( r2_hidden(sK12(sK3,X0),sF33)
| ~ r2_hidden(X0,k3_tarski(sK3)) ),
inference(resolution,[],[f861,f292]) ).
fof(f1343,plain,
! [X0] :
( r2_hidden(sK12(sK3,X0),sF33)
| ~ r2_hidden(X0,sF27) ),
inference(forward_demodulation,[],[f1339,f346]) ).
fof(f1458,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3)
| ~ v1_xboole_0(k1_xboole_0) )
| ~ spl35_30 ),
inference(resolution,[],[f955,f271]) ).
fof(f1466,plain,
( ! [X0] : ~ r2_hidden(X0,sK3)
| ~ spl35_30 ),
inference(forward_subsumption_resolution,[],[f1458,f228]) ).
fof(f1471,definition,
( spl35_68
<=> ! [X1] : ~ r2_hidden(X1,sK3) ),
introduced(definition,[new_symbols(definition,[spl35_68])],[avatar_definition]) ).
fof(f1472,plain,
( ! [X1] : ~ r2_hidden(X1,sK3)
| ~ spl35_68 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f1475,plain,
( spl35_68
| ~ spl35_30 ),
inference(avatar_split_clause,[],[f1466,f941,f1471]) ).
fof(f1480,definition,
( spl35_69
<=> m1_subset_1(k1_xboole_0,sF32) ),
introduced(definition,[new_symbols(definition,[spl35_69])],[avatar_definition]) ).
fof(f1481,plain,
( m1_subset_1(k1_xboole_0,sF32)
| ~ spl35_69 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1482,plain,
( ~ m1_subset_1(k1_xboole_0,sF32)
| spl35_69 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1671,plain,
! [X0] :
( ~ r2_hidden(X0,sF27)
| m1_subset_1(sK12(sK3,X0),sF33) ),
inference(resolution,[],[f1343,f255]) ).
fof(f1716,plain,
( r1_tarski(sF28,sK1)
| ~ spl35_2 ),
inference(resolution,[],[f589,f368]) ).
fof(f1727,definition,
( spl35_78
<=> sK1 = sF29 ),
introduced(definition,[new_symbols(definition,[spl35_78])],[avatar_definition]) ).
fof(f1728,plain,
( sK1 != sF29
| spl35_78 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1958,plain,
( m1_subset_1(k1_xboole_0,sF32)
| ~ spl35_30 ),
inference(backward_demodulation,[],[f310,f943]) ).
fof(f2018,plain,
( $false
| ~ spl35_30
| spl35_69 ),
inference(forward_subsumption_resolution,[],[f1958,f1482]) ).
fof(f2019,plain,
( ~ spl35_30
| spl35_69 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2176,plain,
( k1_xboole_0 = k3_tarski(sK3)
| ~ spl35_68 ),
inference(resolution,[],[f1472,f274]) ).
fof(f2177,plain,
( k1_xboole_0 = sF27
| ~ spl35_68 ),
inference(backward_demodulation,[],[f346,f2176]) ).
fof(f2180,plain,
( $false
| spl35_23
| ~ spl35_68 ),
inference(forward_subsumption_resolution,[],[f2177,f797]) ).
fof(f2181,plain,
( spl35_23
| ~ spl35_68 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
fof(f2191,plain,
( ! [X0] :
( r2_hidden(sK24(k1_xboole_0,X0,sK2),k1_xboole_0)
| r2_hidden(X0,sF28)
| ~ m1_subset_1(X0,sK1) )
| ~ spl35_1
| ~ spl35_23 ),
inference(backward_demodulation,[],[f578,f798]) ).
fof(f2242,plain,
( ! [X0] :
( r2_hidden(X0,sF28)
| ~ m1_subset_1(X0,sK1) )
| ~ spl35_1
| ~ spl35_23 ),
inference(forward_subsumption_resolution,[],[f2191,f1000]) ).
fof(f2243,plain,
( spl35_42
| ~ spl35_1
| ~ spl35_23 ),
inference(avatar_split_clause,[],[f2242,f796,f362,f1139]) ).
fof(f2253,definition,
( spl35_95
<=> sK1 = sF28 ),
introduced(definition,[new_symbols(definition,[spl35_95])],[avatar_definition]) ).
fof(f2254,plain,
( sK1 != sF28
| spl35_95 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f2255,plain,
( sK1 = sF28
| ~ spl35_95 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f2257,definition,
( spl35_96
<=> r1_tarski(sK1,sF28) ),
introduced(definition,[new_symbols(definition,[spl35_96])],[avatar_definition]) ).
fof(f2259,plain,
( ~ r1_tarski(sK1,sF28)
| spl35_96 ),
inference(avatar_component_clause,[],[f2257]) ).
fof(f2563,plain,
( ~ r2_hidden(sK9(sK1,sF28),sF28)
| spl35_96 ),
inference(unit_resulting_resolution,[],[f199,f2259]) ).
fof(f2564,plain,
( r2_hidden(sK9(sK1,sF28),sK1)
| spl35_96 ),
inference(unit_resulting_resolution,[],[f198,f2259]) ).
fof(f2575,plain,
( m1_subset_1(sK9(sK1,sF28),sK1)
| spl35_96 ),
inference(resolution,[],[f2564,f255]) ).
fof(f2576,plain,
( ~ m1_subset_1(sK9(sK1,sF28),sK1)
| ~ spl35_42
| spl35_96 ),
inference(unit_resulting_resolution,[],[f1140,f2563]) ).
fof(f2580,plain,
( $false
| ~ spl35_42
| spl35_96 ),
inference(forward_subsumption_resolution,[],[f2576,f2575]) ).
fof(f2581,plain,
( ~ spl35_42
| spl35_96 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f5248,plain,
( sK1 != sF29
| ~ spl35_95 ),
inference(forward_demodulation,[],[f302,f2255]) ).
fof(f5265,plain,
( ~ spl35_78
| ~ spl35_95 ),
inference(avatar_split_clause,[],[f5248,f2253,f1727]) ).
fof(f5282,plain,
! [X0] :
( ~ r2_hidden(X0,sF29)
| m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(superposition,[],[f553,f301]) ).
fof(f5287,plain,
! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF31))
| ~ r2_hidden(X0,sF29)
| m1_subset_1(X0,sK1) ),
inference(forward_demodulation,[],[f5282,f307]) ).
fof(f5289,plain,
! [X0] :
( ~ m1_subset_1(sK4,sF32)
| ~ r2_hidden(X0,sF29)
| m1_subset_1(X0,sK1) ),
inference(forward_demodulation,[],[f5287,f309]) ).
fof(f5290,plain,
! [X0] :
( ~ r2_hidden(X0,sF29)
| m1_subset_1(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f5289,f310]) ).
fof(f10603,plain,
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(sF31))
| sK1 = k8_setfam_1(sK1,k1_xboole_0) ),
inference(superposition,[],[f277,f307]) ).
fof(f10624,plain,
( ~ m1_subset_1(k1_xboole_0,sF32)
| sK1 = k8_setfam_1(sK1,k1_xboole_0) ),
inference(forward_demodulation,[],[f10603,f309]) ).
fof(f10626,plain,
( sK1 = k8_setfam_1(sK1,k1_xboole_0)
| ~ spl35_69 ),
inference(forward_subsumption_resolution,[],[f10624,f1481]) ).
fof(f16282,plain,
! [X0] :
( r2_hidden(sK24(sF27,sK9(X0,sF28),sK2),sF27)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK9(X0,sF28),sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1)
| r1_tarski(X0,sF28) ),
inference(superposition,[],[f568,f299]) ).
fof(f16297,plain,
( ! [X0] :
( r2_hidden(sK24(sF27,sK9(X0,sF28),sK2),sF27)
| ~ m1_subset_1(sK9(X0,sF28),sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1)
| r1_tarski(X0,sF28) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f16282,f363]) ).
fof(f16309,plain,
( ! [X0] :
( r2_hidden(sK24(sF27,sK9(X0,sF28),sK2),sF27)
| ~ m1_subset_1(sK9(X0,sF28),sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| r1_tarski(X0,sF28) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f16297,f171]) ).
fof(f16321,plain,
( ! [X0] :
( ~ m1_subset_1(sF27,sF33)
| r2_hidden(sK24(sF27,sK9(X0,sF28),sK2),sF27)
| ~ m1_subset_1(sK9(X0,sF28),sK1)
| r1_tarski(X0,sF28) )
| ~ spl35_1 ),
inference(forward_demodulation,[],[f16309,f312]) ).
fof(f16330,plain,
( ! [X0] :
( r2_hidden(sK24(sF27,sK9(X0,sF28),sK2),sF27)
| ~ m1_subset_1(sK9(X0,sF28),sK1)
| r1_tarski(X0,sF28) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f16321,f322]) ).
fof(f17841,plain,
( ~ r1_tarski(sK1,sF28)
| ~ spl35_2
| spl35_95 ),
inference(unit_resulting_resolution,[],[f184,f1716,f2254]) ).
fof(f35455,plain,
( sF29 = k8_setfam_1(sK1,k1_xboole_0)
| ~ spl35_30 ),
inference(backward_demodulation,[],[f301,f943]) ).
fof(f37850,plain,
( sK1 = sF29
| ~ spl35_30
| ~ spl35_69 ),
inference(forward_demodulation,[],[f35455,f10626]) ).
fof(f38854,plain,
( $false
| ~ spl35_30
| ~ spl35_69
| spl35_78 ),
inference(forward_subsumption_resolution,[],[f37850,f1728]) ).
fof(f38855,plain,
( ~ spl35_30
| ~ spl35_69
| spl35_78 ),
inference(avatar_contradiction_clause,[],[f38854]) ).
fof(f39291,plain,
( ~ spl35_96
| ~ spl35_2
| spl35_95 ),
inference(avatar_split_clause,[],[f17841,f2253,f366,f2257]) ).
fof(f40193,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF29)
| ~ r2_hidden(X1,sK4)
| r2_hidden(X0,X1)
| k1_xboole_0 = sK4 )
| ~ spl35_31 ),
inference(superposition,[],[f282,f947]) ).
fof(f41216,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK4)
| ~ r2_hidden(X0,sF29)
| r2_hidden(X0,X1) )
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f40193,f942]) ).
fof(f41222,plain,
( ! [X0,X1] :
( r2_hidden(X0,k8_relset_2(sK0,sK1,X1,sK2))
| ~ r2_hidden(X0,sF29)
| ~ r2_hidden(X1,sK3) )
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f41216,f448]) ).
fof(f41918,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sF29)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK2,k1_tarski(X2)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0)) )
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f41222,f258]) ).
fof(f41937,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sF29)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK2,k1_tarski(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0)) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f41918,f363]) ).
fof(f41941,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(sK2,k1_tarski(X2)))
| ~ r2_hidden(X0,sF29)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X1,sF33) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_demodulation,[],[f41937,f312]) ).
fof(f42022,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,k8_relset_2(X3,X4,X2,sK2))
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(sK24(X2,X0,sK2),X1)
| ~ m1_subset_1(X1,sF33)
| ~ r2_hidden(X0,sF29)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ~ m1_subset_1(X0,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| v1_xboole_0(X4) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f41941,f261]) ).
fof(f46614,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(sK24(sF27,X0,sK2),X1)
| ~ m1_subset_1(X1,sF33)
| ~ r2_hidden(X0,sF29)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(superposition,[],[f42022,f299]) ).
fof(f46638,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(sK24(sF27,X0,sK2),X1)
| ~ m1_subset_1(X1,sF33)
| ~ r2_hidden(X0,sF29)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f46614,f363]) ).
fof(f46643,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(sK24(sF27,X0,sK2),X1)
| ~ m1_subset_1(X1,sF33)
| ~ r2_hidden(X0,sF29)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0)) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f46638,f171]) ).
fof(f46646,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(sK24(sF27,X0,sK2),X1)
| ~ m1_subset_1(X1,sF33)
| ~ r2_hidden(X0,sF29)
| ~ m1_subset_1(sF27,k1_zfmisc_1(sK0)) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f46643,f5290]) ).
fof(f46648,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF27,sF33)
| r2_hidden(X0,sF28)
| ~ r2_hidden(X1,sK3)
| ~ r2_hidden(sK24(sF27,X0,sK2),X1)
| ~ m1_subset_1(X1,sF33)
| ~ r2_hidden(X0,sF29) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_demodulation,[],[f46646,f312]) ).
fof(f46649,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK24(sF27,X0,sK2),X1)
| ~ r2_hidden(X1,sK3)
| r2_hidden(X0,sF28)
| ~ m1_subset_1(X1,sF33)
| ~ r2_hidden(X0,sF29) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f46648,f322]) ).
fof(f47182,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK12(X0,sK24(sF27,X1,sK2)),sK3)
| r2_hidden(X1,sF28)
| ~ m1_subset_1(sK12(X0,sK24(sF27,X1,sK2)),sF33)
| ~ r2_hidden(X1,sF29)
| ~ r2_hidden(sK24(sF27,X1,sK2),k3_tarski(X0)) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f46649,f291]) ).
fof(f47773,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK4)
| v1_xboole_0(sK1)
| ~ m2_relset_1(sK2,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_hidden(X1,sF28) )
| ~ spl35_1 ),
inference(superposition,[],[f1289,f317]) ).
fof(f47777,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK4)
| ~ m2_relset_1(sK2,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_hidden(X1,sF28) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f47773,f171]) ).
fof(f47778,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK4)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_hidden(X1,sF28) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f47777,f172]) ).
fof(f47779,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF33))
| ~ r2_hidden(X0,sK4)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_hidden(X1,sF28) )
| ~ spl35_1 ),
inference(forward_demodulation,[],[f47778,f312]) ).
fof(f47780,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK3,sF34)
| ~ r2_hidden(X0,sK4)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_hidden(X1,sF28) )
| ~ spl35_1 ),
inference(forward_demodulation,[],[f47779,f314]) ).
fof(f47781,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sF28)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,sK1)
| ~ r2_hidden(X0,sK4) )
| ~ spl35_1 ),
inference(forward_subsumption_resolution,[],[f47780,f315]) ).
fof(f48102,plain,
( ! [X0] :
( r2_hidden(X0,sF28)
| ~ m1_subset_1(sK12(sK3,sK24(sF27,X0,sK2)),sF33)
| ~ r2_hidden(X0,sF29)
| ~ r2_hidden(sK24(sF27,X0,sK2),k3_tarski(sK3))
| ~ r2_hidden(sK24(sF27,X0,sK2),k3_tarski(sK3)) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f47182,f292]) ).
fof(f48106,plain,
( ! [X0] :
( r2_hidden(X0,sF28)
| ~ m1_subset_1(sK12(sK3,sK24(sF27,X0,sK2)),sF33)
| ~ r2_hidden(X0,sF29)
| ~ r2_hidden(sK24(sF27,X0,sK2),k3_tarski(sK3)) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(duplicate_literal_removal,[],[f48102]) ).
fof(f48107,plain,
( ! [X0] :
( ~ r2_hidden(sK24(sF27,X0,sK2),sF27)
| r2_hidden(X0,sF28)
| ~ m1_subset_1(sK12(sK3,sK24(sF27,X0,sK2)),sF33)
| ~ r2_hidden(X0,sF29) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_demodulation,[],[f48106,f346]) ).
fof(f48108,plain,
( ! [X0] :
( ~ r2_hidden(sK24(sF27,X0,sK2),sF27)
| r2_hidden(X0,sF28)
| ~ r2_hidden(X0,sF29) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f48107,f1671]) ).
fof(f48110,plain,
( ! [X0] :
( r2_hidden(sK9(X0,sF28),sF28)
| ~ r2_hidden(sK9(X0,sF28),sF29)
| ~ m1_subset_1(sK9(X0,sF28),sK1)
| r1_tarski(X0,sF28) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f48108,f16330]) ).
fof(f48117,plain,
( ! [X0] :
( ~ r2_hidden(sK9(X0,sF28),sF29)
| ~ m1_subset_1(sK9(X0,sF28),sK1)
| r1_tarski(X0,sF28) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f48110,f199]) ).
fof(f48120,plain,
( ! [X0] :
( ~ r2_hidden(sK9(X0,sF28),sF29)
| r1_tarski(X0,sF28) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(forward_subsumption_resolution,[],[f48117,f5290]) ).
fof(f48138,plain,
( r1_tarski(sF29,sF28)
| r1_tarski(sF29,sF28)
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f48120,f198]) ).
fof(f48145,plain,
( r1_tarski(sF29,sF28)
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(duplicate_literal_removal,[],[f48138]) ).
fof(f48146,plain,
( ~ r1_tarski(sF28,sF29)
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(unit_resulting_resolution,[],[f184,f302,f48145]) ).
fof(f49722,plain,
( ~ r2_hidden(sK9(sF28,sF29),sF29)
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(unit_resulting_resolution,[],[f199,f48146]) ).
fof(f49723,plain,
( r2_hidden(sK9(sF28,sF29),sF28)
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(unit_resulting_resolution,[],[f198,f48146]) ).
fof(f49774,plain,
( m1_subset_1(sK9(sF28,sF29),sK1)
| ~ spl35_1
| ~ spl35_2
| spl35_30
| ~ spl35_31 ),
inference(unit_resulting_resolution,[],[f558,f368,f49723]) ).
fof(f49782,plain,
( ! [X0] :
( r2_hidden(sK9(sF28,sF29),X0)
| ~ m1_subset_1(sK9(sF28,sF29),sK1)
| ~ r2_hidden(X0,sK4) )
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(resolution,[],[f49723,f47781]) ).
fof(f50813,definition,
( spl35_793
<=> m1_subset_1(sK9(sF28,sF29),sK1) ),
introduced(definition,[new_symbols(definition,[spl35_793])],[avatar_definition]) ).
fof(f50817,definition,
( spl35_794
<=> ! [X0] :
( r2_hidden(sK9(sF28,sF29),X0)
| ~ r2_hidden(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl35_794])],[avatar_definition]) ).
fof(f50818,plain,
( ! [X0] :
( r2_hidden(sK9(sF28,sF29),X0)
| ~ r2_hidden(X0,sK4) )
| ~ spl35_794 ),
inference(avatar_component_clause,[],[f50817]) ).
fof(f50819,plain,
( ~ spl35_793
| spl35_794
| ~ spl35_1
| spl35_30
| ~ spl35_31 ),
inference(avatar_split_clause,[],[f49782,f945,f941,f362,f50817,f50813]) ).
fof(f50820,plain,
( spl35_793
| ~ spl35_1
| ~ spl35_2
| spl35_30
| ~ spl35_31 ),
inference(avatar_split_clause,[],[f49774,f945,f941,f366,f362,f50813]) ).
fof(f51000,plain,
( ! [X0] :
( ~ r2_hidden(sK7(X0,sK9(sF28,sF29)),sK4)
| r2_hidden(sK9(sF28,sF29),k1_setfam_1(X0))
| k1_xboole_0 = X0 )
| ~ spl35_794 ),
inference(resolution,[],[f50818,f280]) ).
fof(f51301,plain,
( r2_hidden(sK9(sF28,sF29),k1_setfam_1(sK4))
| k1_xboole_0 = sK4
| r2_hidden(sK9(sF28,sF29),k1_setfam_1(sK4))
| k1_xboole_0 = sK4
| ~ spl35_794 ),
inference(resolution,[],[f51000,f281]) ).
fof(f51303,plain,
( r2_hidden(sK9(sF28,sF29),k1_setfam_1(sK4))
| k1_xboole_0 = sK4
| ~ spl35_794 ),
inference(duplicate_literal_removal,[],[f51301]) ).
fof(f51304,plain,
( r2_hidden(sK9(sF28,sF29),k1_setfam_1(sK4))
| spl35_30
| ~ spl35_794 ),
inference(forward_subsumption_resolution,[],[f51303,f942]) ).
fof(f51305,plain,
( r2_hidden(sK9(sF28,sF29),sF29)
| spl35_30
| ~ spl35_31
| ~ spl35_794 ),
inference(forward_demodulation,[],[f51304,f947]) ).
fof(f51306,plain,
( $false
| ~ spl35_1
| spl35_30
| ~ spl35_31
| ~ spl35_794 ),
inference(forward_subsumption_resolution,[],[f51305,f49722]) ).
fof(f51307,plain,
( ~ spl35_1
| spl35_30
| ~ spl35_31
| ~ spl35_794 ),
inference(avatar_contradiction_clause,[],[f51306]) ).
cnf(s1,plain,
( ~ spl35_1
| spl35_2 ),
inference(sat_conversion,[],[f369]) ).
cnf(s9,plain,
spl35_1,
inference(sat_conversion,[],[f428]) ).
cnf(s25,plain,
( spl35_30
| spl35_31 ),
inference(sat_conversion,[],[f949]) ).
cnf(s47,plain,
( ~ spl35_30
| spl35_68 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s70,plain,
( ~ spl35_30
| spl35_69 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s80,plain,
( spl35_23
| ~ spl35_68 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s83,plain,
( ~ spl35_1
| ~ spl35_23
| spl35_42 ),
inference(sat_conversion,[],[f2243]) ).
cnf(s92,plain,
( ~ spl35_42
| spl35_96 ),
inference(sat_conversion,[],[f2581]) ).
cnf(s169,plain,
( ~ spl35_78
| ~ spl35_95 ),
inference(sat_conversion,[],[f5265]) ).
cnf(s1098,plain,
( ~ spl35_30
| ~ spl35_69
| spl35_78 ),
inference(sat_conversion,[],[f38855]) ).
cnf(s1151,plain,
( ~ spl35_2
| spl35_95
| ~ spl35_96 ),
inference(sat_conversion,[],[f39291]) ).
cnf(s1524,plain,
( ~ spl35_1
| spl35_30
| ~ spl35_31
| ~ spl35_793
| spl35_794 ),
inference(sat_conversion,[],[f50819]) ).
cnf(s1525,plain,
( ~ spl35_1
| ~ spl35_2
| spl35_30
| ~ spl35_31
| spl35_793 ),
inference(sat_conversion,[],[f50820]) ).
cnf(s1549,plain,
( ~ spl35_1
| spl35_30
| ~ spl35_31
| ~ spl35_794 ),
inference(sat_conversion,[],[f51307]) ).
cnf(s1566,plain,
spl35_2,
inference(rat,[],[s1,s9]) ).
cnf(s1568,plain,
( ~ spl35_31
| spl35_794
| spl35_30 ),
inference(rat,[],[s1525,s1524,s1566,s9]) ).
cnf(s1569,plain,
( ~ spl35_31
| spl35_30 ),
inference(rat,[],[s1568,s1549,s9]) ).
cnf(s1570,plain,
spl35_30,
inference(rat,[],[s1569,s25]) ).
cnf(s1575,plain,
spl35_69,
inference(rat,[],[s70,s1570]) ).
cnf(s1577,plain,
spl35_68,
inference(rat,[],[s47,s1570]) ).
cnf(s1582,plain,
spl35_78,
inference(rat,[],[s1098,s1570,s1575]) ).
cnf(s1589,plain,
spl35_23,
inference(rat,[],[s80,s1577]) ).
cnf(s1590,plain,
~ spl35_95,
inference(rat,[],[s169,s1582]) ).
cnf(s1599,plain,
spl35_42,
inference(rat,[],[s83,s9,s1589]) ).
cnf(s1606,plain,
~ spl35_96,
inference(rat,[],[s1151,s1566,s1590]) ).
cnf(s1614,plain,
$false,
inference(rat,[],[s92,s1606,s1599]) ).
fof(f51308,plain,
$false,
inference(avatar_sat_refutation,[],[s1614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU431+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n002.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 05:26:22 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 11.05/2.48 % (18689)Detected formulas, will run a generic FOF schedule.
% 11.05/2.48 % (18698)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2659523462:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.05/2.48 % (18698)Instruction limit reached!
% 11.05/2.48 % (18698)------------------------------
% 11.05/2.48 % (18698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.48 % (18698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.48 % (18698)CaDiCaL version: 2.1.3
% 11.05/2.48 % (18698)Termination reason: Instruction limit
% 11.05/2.48 % (18698)Termination phase: Saturation
% 11.05/2.48 % (18698)Time elapsed: 0.038 s
% 11.05/2.48 % (18698)Peak memory usage: 88 MB
% 11.05/2.48 % (18698)Instructions burned: 120 (million)
% 11.05/2.48 % (18697)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3183850122:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.05/2.48 % (18696)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=3804260519:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.05/2.48 % (18694)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=1828840339:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.05/2.48 % (18695)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=2742320295:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.05/2.48 % (18697)Refutation not found, incomplete strategy
% 11.05/2.48 % (18697)------------------------------
% 11.05/2.48 % (18697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.48 % (18697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.48 % (18697)CaDiCaL version: 2.1.3
% 11.05/2.48 % (18697)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.48 % (18697)Time elapsed: 0.003 s
% 11.05/2.48 % (18697)Peak memory usage: 88 MB
% 11.05/2.48 % (18697)Instructions burned: 3 (million)
% 11.05/2.48 % (18699)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4043467812:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.05/2.48 % (18700)dis-21_1_sil=8000:lcm=predicate:random_seed=428849666: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)
% 11.05/2.48 % (18702)lrs+10_1_sil=8000:sp=occurrence:random_seed=505933761:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.05/2.48 % (18700)Instruction limit reached!
% 11.05/2.48 % (18700)------------------------------
% 11.05/2.48 % (18700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.48 % (18700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.48 % (18700)CaDiCaL version: 2.1.3
% 11.05/2.48 % (18700)Termination reason: Instruction limit
% 11.05/2.48 % (18700)Termination phase: Saturation
% 11.05/2.48 % (18700)Time elapsed: 0.077 s
% 11.05/2.48 % (18700)Peak memory usage: 89 MB
% 11.05/2.48 % (18700)Instructions burned: 129 (million)
% 11.05/2.48 % (18699)Instruction limit reached!
% 11.05/2.48 % (18699)------------------------------
% 11.05/2.48 % (18699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.48 % (18699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.48 % (18699)CaDiCaL version: 2.1.3
% 11.05/2.48 % (18699)Termination reason: Instruction limit
% 11.05/2.48 % (18699)Termination phase: Saturation
% 11.05/2.48 % (18699)Time elapsed: 0.100 s
% 11.05/2.48 % (18699)Peak memory usage: 90 MB
% 11.05/2.48 % (18699)Instructions burned: 140 (million)
% 11.05/2.48 % (18702)Instruction limit reached!
% 11.05/2.48 % (18702)------------------------------
% 11.05/2.48 % (18702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.48 % (18702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.48 % (18702)CaDiCaL version: 2.1.3
% 11.05/2.48 % (18702)Termination reason: Instruction limit
% 11.05/2.48 % (18702)Termination phase: Saturation
% 11.05/2.48 % (18702)Time elapsed: 0.097 s
% 11.05/2.48 % (18702)Peak memory usage: 92 MB
% 11.05/2.48 % (18702)Instructions burned: 288 (million)
% 11.05/2.48 % (18710)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4266296838:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.76/3.61 % (18711)lrs+1011_1_sil=32000:sp=occurrence:random_seed=873011159:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.76/3.61 % (18697)------------------------------
% 19.76/3.61 % (18697)------------------------------
% 19.76/3.61 % (18712)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=1388921443:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.76/3.61 % (18710)Instruction limit reached!
% 19.76/3.61 % (18710)------------------------------
% 19.76/3.61 % (18710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.61 % (18710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.61 % (18710)CaDiCaL version: 2.1.3
% 19.76/3.61 % (18710)Termination reason: Instruction limit
% 19.76/3.61 % (18710)Termination phase: Saturation
% 19.76/3.61 % (18710)Time elapsed: 0.084 s
% 19.76/3.61 % (18710)Peak memory usage: 90 MB
% 19.76/3.61 % (18710)Instructions burned: 157 (million)
% 19.76/3.61 % (18712)Instruction limit reached!
% 19.76/3.61 % (18712)------------------------------
% 19.76/3.61 % (18712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.61 % (18712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.61 % (18712)CaDiCaL version: 2.1.3
% 19.76/3.61 % (18712)Termination reason: Instruction limit
% 19.76/3.61 % (18712)Termination phase: Saturation
% 19.76/3.61 % (18712)Time elapsed: 0.080 s
% 19.76/3.61 % (18712)Peak memory usage: 92 MB
% 19.76/3.61 % (18712)Instructions burned: 249 (million)
% 19.76/3.61 % (18715)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1081152328:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.76/3.61 % (18717)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2233400951:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 19.76/3.61 % (18718)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=120931234:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 19.76/3.61 % (18718)Instruction limit reached!
% 19.76/3.61 % (18718)------------------------------
% 19.76/3.61 % (18718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.61 % (18718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.61 % (18718)CaDiCaL version: 2.1.3
% 19.76/3.61 % (18718)Termination reason: Instruction limit
% 19.76/3.61 % (18718)Termination phase: Saturation
% 19.76/3.61 % (18718)Time elapsed: 0.043 s
% 19.76/3.61 % (18718)Peak memory usage: 90 MB
% 19.76/3.61 % (18718)Instructions burned: 113 (million)
% 19.76/3.61 % (18711)Instruction limit reached!
% 19.76/3.61 % (18711)------------------------------
% 19.76/3.61 % (18711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.61 % (18711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.61 % (18711)CaDiCaL version: 2.1.3
% 19.76/3.61 % (18711)Termination reason: Instruction limit
% 19.76/3.61 % (18711)Termination phase: Saturation
% 19.76/3.61 % (18711)Time elapsed: 0.228 s
% 19.76/3.61 % (18711)Peak memory usage: 91 MB
% 19.76/3.61 % (18711)Instructions burned: 326 (million)
% 19.76/3.61 % (18722)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1595300173:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.76/3.61 % (18715)Instruction limit reached!
% 19.76/3.61 % (18715)------------------------------
% 19.76/3.61 % (18715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.61 % (18715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.61 % (18715)CaDiCaL version: 2.1.3
% 19.76/3.61 % (18715)Termination reason: Instruction limit
% 19.76/3.61 % (18715)Termination phase: Saturation
% 19.76/3.61 % (18715)Time elapsed: 0.185 s
% 19.76/3.61 % (18715)Peak memory usage: 90 MB
% 19.76/3.61 % (18715)Instructions burned: 295 (million)
% 19.76/3.61 % (18722)Instruction limit reached!
% 19.76/3.61 % (18722)------------------------------
% 19.76/3.61 % (18722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.61 % (18722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.61 % (18722)CaDiCaL version: 2.1.3
% 19.76/3.61 % (18722)Termination reason: Instruction limit
% 19.76/3.61 % (18722)Termination phase: Saturation
% 19.76/3.61 % (18722)Time elapsed: 0.038 s
% 19.76/3.61 % (18722)Peak memory usage: 89 MB
% 19.76/3.61 % (18722)Instructions burned: 130 (million)
% 19.76/3.61 % (18723)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3582826128:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 47.26/7.57 % (18723)Instruction limit reached!
% 47.26/7.57 % (18723)------------------------------
% 47.26/7.57 % (18723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.26/7.57 % (18723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/7.57 % (18723)CaDiCaL version: 2.1.3
% 47.26/7.57 % (18723)Termination reason: Instruction limit
% 47.26/7.57 % (18723)Termination phase: Saturation
% 47.26/7.57 % (18723)Time elapsed: 0.067 s
% 47.26/7.57 % (18723)Peak memory usage: 89 MB
% 47.26/7.57 % (18723)Instructions burned: 114 (million)
% 47.26/7.57 % (18726)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3938223722:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 47.26/7.57 % (18725)lrs+10_1_sil=8000:sp=occurrence:random_seed=975348059:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 47.26/7.57 % (18729)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3630438387:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 47.26/7.57 % (18726)Instruction limit reached!
% 47.26/7.57 % (18726)------------------------------
% 47.26/7.57 % (18726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.26/7.57 % (18726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/7.57 % (18726)CaDiCaL version: 2.1.3
% 47.26/7.57 % (18726)Termination reason: Instruction limit
% 47.26/7.57 % (18726)Termination phase: Saturation
% 47.26/7.57 % (18726)Time elapsed: 0.150 s
% 47.26/7.57 % (18726)Peak memory usage: 91 MB
% 47.26/7.57 % (18726)Instructions burned: 440 (million)
% 47.26/7.57 % (18732)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=703554293:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 47.26/7.57 % (18732)Instruction limit reached!
% 47.26/7.57 % (18732)------------------------------
% 47.26/7.57 % (18732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.26/7.57 % (18732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/7.57 % (18732)CaDiCaL version: 2.1.3
% 47.26/7.57 % (18732)Termination reason: Instruction limit
% 47.26/7.57 % (18732)Termination phase: Saturation
% 47.26/7.57 % (18732)Time elapsed: 0.042 s
% 47.26/7.57 % (18732)Peak memory usage: 91 MB
% 47.26/7.57 % (18732)Instructions burned: 135 (million)
% 47.26/7.57 % (18734)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4088080235:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 47.26/7.57 % (18734)Instruction limit reached!
% 47.26/7.57 % (18734)------------------------------
% 47.26/7.57 % (18734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.26/7.57 % (18734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/7.57 % (18734)CaDiCaL version: 2.1.3
% 47.26/7.57 % (18734)Termination reason: Instruction limit
% 47.26/7.57 % (18734)Termination phase: Saturation
% 47.26/7.57 % (18734)Time elapsed: 0.190 s
% 47.26/7.57 % (18734)Peak memory usage: 95 MB
% 47.26/7.57 % (18734)Instructions burned: 594 (million)
% 47.26/7.57 % (18725)Instruction limit reached!
% 47.26/7.57 % (18725)------------------------------
% 47.26/7.57 % (18725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.26/7.57 % (18725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/7.57 % (18725)CaDiCaL version: 2.1.3
% 47.26/7.57 % (18725)Termination reason: Instruction limit
% 47.26/7.57 % (18725)Termination phase: Saturation
% 47.26/7.57 % (18725)Time elapsed: 0.544 s
% 47.26/7.57 % (18725)Peak memory usage: 96 MB
% 47.26/7.57 % (18725)Instructions burned: 909 (million)
% 47.26/7.57 % (18736)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2157598626:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 47.26/7.57 % (18737)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=749921649:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 47.26/7.57 % (18737)Instruction limit reached!
% 47.26/7.57 % (18737)------------------------------
% 47.26/7.57 % (18737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.26/7.57 % (18737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18737)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18737)Termination reason: Instruction limit
% 68.75/10.55 % (18737)Termination phase: Saturation
% 68.75/10.55 % (18737)Time elapsed: 0.076 s
% 68.75/10.55 % (18737)Peak memory usage: 91 MB
% 68.75/10.55 % (18737)Instructions burned: 126 (million)
% 68.75/10.55 % (18740)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2224124285:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 68.75/10.55 % (18740)Instruction limit reached!
% 68.75/10.55 % (18740)------------------------------
% 68.75/10.55 % (18740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18740)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18740)Termination reason: Instruction limit
% 68.75/10.55 % (18740)Termination phase: Saturation
% 68.75/10.55 % (18740)Time elapsed: 0.090 s
% 68.75/10.55 % (18740)Peak memory usage: 90 MB
% 68.75/10.55 % (18740)Instructions burned: 134 (million)
% 68.75/10.55 % (18742)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2784350079:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 68.75/10.55 % (18742)Instruction limit reached!
% 68.75/10.55 % (18742)------------------------------
% 68.75/10.55 % (18742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18742)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18742)Termination reason: Instruction limit
% 68.75/10.55 % (18742)Termination phase: Saturation
% 68.75/10.55 % (18742)Time elapsed: 0.080 s
% 68.75/10.55 % (18742)Peak memory usage: 91 MB
% 68.75/10.55 % (18742)Instructions burned: 141 (million)
% 68.75/10.55 % (18717)Instruction limit reached!
% 68.75/10.55 % (18717)------------------------------
% 68.75/10.55 % (18717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18717)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18717)Termination reason: Instruction limit
% 68.75/10.55 % (18717)Termination phase: Saturation
% 68.75/10.55 % (18717)Time elapsed: 1.550 s
% 68.75/10.55 % (18717)Peak memory usage: 142 MB
% 68.75/10.55 % (18717)Instructions burned: 2350 (million)
% 68.75/10.55 % (18744)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4292892421:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 68.75/10.55 % (18745)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=2557859935:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 68.75/10.55 % (18744)Instruction limit reached!
% 68.75/10.55 % (18744)------------------------------
% 68.75/10.55 % (18744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18744)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18744)Termination reason: Instruction limit
% 68.75/10.55 % (18744)Termination phase: Saturation
% 68.75/10.55 % (18744)Time elapsed: 0.247 s
% 68.75/10.55 % (18744)Peak memory usage: 94 MB
% 68.75/10.55 % (18744)Instructions burned: 431 (million)
% 68.75/10.55 % (18748)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=947864386:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 68.75/10.55 % (18748)Instruction limit reached!
% 68.75/10.55 % (18748)------------------------------
% 68.75/10.55 % (18748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18748)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18748)Termination reason: Instruction limit
% 68.75/10.55 % (18748)Termination phase: Saturation
% 68.75/10.55 % (18748)Time elapsed: 0.086 s
% 68.75/10.55 % (18748)Peak memory usage: 91 MB
% 68.75/10.55 % (18748)Instructions burned: 150 (million)
% 68.75/10.55 % (18729)Instruction limit reached!
% 68.75/10.55 % (18729)------------------------------
% 68.75/10.55 % (18729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18729)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18729)Termination reason: Instruction limit
% 68.75/10.55 % (18729)Termination phase: Saturation
% 68.75/10.55 % (18729)Time elapsed: 1.795 s
% 68.75/10.55 % (18729)Peak memory usage: 156 MB
% 68.75/10.55 % (18729)Instructions burned: 5202 (million)
% 68.75/10.55 % (18750)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3331965307:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 68.75/10.55 % (18751)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4260000165:i=667:av=off:fsr=off_2972 on theBenchmark for (2972ds/667Mi)
% 68.75/10.55 % (18751)Instruction limit reached!
% 68.75/10.55 % (18751)------------------------------
% 68.75/10.55 % (18751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18751)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18751)Termination reason: Instruction limit
% 68.75/10.55 % (18751)Termination phase: Saturation
% 68.75/10.55 % (18751)Time elapsed: 0.198 s
% 68.75/10.55 % (18751)Peak memory usage: 115 MB
% 68.75/10.55 % (18751)Instructions burned: 671 (million)
% 68.75/10.55 % (18754)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1952616029:s2a=on:i=185:s2at=1.8:fdi=4_2969 on theBenchmark for (2969ds/185Mi)
% 68.75/10.55 % (18754)Instruction limit reached!
% 68.75/10.55 % (18754)------------------------------
% 68.75/10.55 % (18754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18754)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18754)Termination reason: Instruction limit
% 68.75/10.55 % (18754)Termination phase: Saturation
% 68.75/10.55 % (18754)Time elapsed: 0.053 s
% 68.75/10.55 % (18754)Peak memory usage: 92 MB
% 68.75/10.55 % (18754)Instructions burned: 187 (million)
% 68.75/10.55 % (18756)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=265741947:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2967 on theBenchmark for (2967ds/193Mi)
% 68.75/10.55 % (18756)Instruction limit reached!
% 68.75/10.55 % (18756)------------------------------
% 68.75/10.55 % (18756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18756)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18756)Termination reason: Instruction limit
% 68.75/10.55 % (18756)Termination phase: Saturation
% 68.75/10.55 % (18756)Time elapsed: 0.073 s
% 68.75/10.55 % (18756)Peak memory usage: 91 MB
% 68.75/10.55 % (18756)Instructions burned: 194 (million)
% 68.75/10.55 % (18758)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=107946299:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2966 on theBenchmark for (2966ds/4850Mi)
% 68.75/10.55 % (18758)Instruction limit reached!
% 68.75/10.55 % (18758)------------------------------
% 68.75/10.55 % (18758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18758)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18758)Termination reason: Instruction limit
% 68.75/10.55 % (18758)Termination phase: Saturation
% 68.75/10.55 % (18758)Time elapsed: 1.710 s
% 68.75/10.55 % (18758)Peak memory usage: 142 MB
% 68.75/10.55 % (18758)Instructions burned: 4852 (million)
% 68.75/10.55 % (18760)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3360093630:i=12111:sd=1:ss=included_2947 on theBenchmark for (2947ds/12111Mi)
% 68.75/10.55 % (18745)Instruction limit reached!
% 68.75/10.55 % (18745)------------------------------
% 68.75/10.55 % (18745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18745)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18745)Termination reason: Instruction limit
% 68.75/10.55 % (18745)Termination phase: Saturation
% 68.75/10.55 % (18745)Time elapsed: 4.119 s
% 68.75/10.55 % (18745)Peak memory usage: 162 MB
% 68.75/10.55 % (18745)Instructions burned: 6061 (million)
% 68.75/10.55 % (18762)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3723325815:i=319:kws=precedence:fsr=off_2936 on theBenchmark for (2936ds/319Mi)
% 68.75/10.55 % (18762)Instruction limit reached!
% 68.75/10.55 % (18762)------------------------------
% 68.75/10.55 % (18762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18762)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18762)Termination reason: Instruction limit
% 68.75/10.55 % (18762)Termination phase: Saturation
% 68.75/10.55 % (18762)Time elapsed: 0.202 s
% 68.75/10.55 % (18762)Peak memory usage: 93 MB
% 68.75/10.55 % (18762)Instructions burned: 320 (million)
% 68.75/10.55 % (18764)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3555712250:i=2064:ep=RST_2932 on theBenchmark for (2932ds/2064Mi)
% 68.75/10.55 % (18764)Instruction limit reached!
% 68.75/10.55 % (18764)------------------------------
% 68.75/10.55 % (18764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18764)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18764)Termination reason: Instruction limit
% 68.75/10.55 % (18764)Termination phase: Saturation
% 68.75/10.55 % (18764)Time elapsed: 1.080 s
% 68.75/10.55 % (18764)Peak memory usage: 104 MB
% 68.75/10.55 % (18764)Instructions burned: 2065 (million)
% 68.75/10.55 % (18766)dis-1011_128_sil=32000:random_seed=248603092:i=3706:ep=RST:av=off_2920 on theBenchmark for (2920ds/3706Mi)
% 68.75/10.55 % (18750)First to succeed.
% 68.75/10.55 % (18750)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18689"
% 68.75/10.55 % (18736)Instruction limit reached!
% 68.75/10.55 % (18736)------------------------------
% 68.75/10.55 % (18736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.75/10.55 % (18736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.75/10.55 % (18736)CaDiCaL version: 2.1.3
% 68.75/10.55 % (18736)Termination reason: Instruction limit
% 68.75/10.55 % (18736)Termination phase: Saturation
% 68.75/10.55 % (18736)Time elapsed: 8.055 s
% 68.75/10.55 % (18736)Peak memory usage: 213 MB
% 68.75/10.55 % (18736)Instructions burned: 13193 (million)
% 68.75/10.55 % (18750)Refutation found. Thanks to Tanya!
% 68.75/10.55 % SZS status Theorem for theBenchmark
% 68.75/10.55 % SZS output start Proof for theBenchmark
% See solution above
% 69.28/10.74 % (18750)------------------------------
% 69.28/10.74 % (18750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.28/10.74 % (18750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.28/10.74 % (18750)CaDiCaL version: 2.1.3
% 69.28/10.74 % (18750)Termination reason: Refutation
% 69.28/10.74 % (18750)Time elapsed: 6.558 s
% 69.28/10.74 % (18750)Peak memory usage: 185 MB
% 69.28/10.74 % (18750)Instructions burned: 9761 (million)
% 69.28/10.74 % (18750)------------------------------
% 69.28/10.74 % (18750)------------------------------
% 69.28/10.74 % (18689)Success in time 9.688 s
% 69.28/10.74 % Vampire exiting
%------------------------------------------------------------------------------