%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU433+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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:01 PM UTC 2026
% Result : Theorem 9.74s 3.91s
% Output : Refutation 19.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 28
% Syntax : Number of formulae : 271 ( 45 unt; 15 def)
% Number of atoms : 1051 ( 63 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1387 ( 607 ~; 693 |; 50 &)
% ( 14 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-4 aty)
% Number of variables : 394 ( 0 sgn 382 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f9,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(f10,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f20,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f23,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(f50,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f55,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k3_xboole_0(X1,X2),k1_tarski(X0)) = k3_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_relset_2) ).
fof(f57,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(f58,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(f62,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(f63,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f75,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) != k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f78,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f81,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f85,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f86,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f85]) ).
fof(f88,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,[],[f23]) ).
fof(f89,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,[],[f88]) ).
fof(f101,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f102,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f101]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( k9_relat_1(k3_xboole_0(X1,X2),k1_tarski(X0)) = k3_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0)))
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f108,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,[],[f57]) ).
fof(f109,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,[],[f108]) ).
fof(f110,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,[],[f58]) ).
fof(f113,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f114,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f119,plain,
( k8_relset_2(sK0,sK1,sK2,k5_subset_1(k2_zfmisc_1(sK0,sK1),sK3,sK4)) != k5_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK3),k8_relset_2(sK0,sK1,sK2,sK4))
& m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
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)],[f75]) ).
fof(f120,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,[],[f8]) ).
fof(f121,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,[],[f120]) ).
fof(f122,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,[],[f81]) ).
fof(f123,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,[],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK5(X0,X1),X1)
& r2_hidden(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f123]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK6(X0,X1,X2),X0)
| ~ r2_hidden(sK6(X0,X1,X2),X1)
| ~ r2_hidden(sK6(X0,X1,X2),X2) )
& ( ( r2_hidden(sK6(X0,X1,X2),X0)
& r2_hidden(sK6(X0,X1,X2),X1) )
| r2_hidden(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f127]) ).
fof(f140,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,[],[f110]) ).
fof(f141,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,[],[f140]) ).
fof(f142,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(sK17(X2,X3,X4))))
& r2_hidden(sK17(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,[sK17]),skolemize(X5,sK17(X2,X3,X4))],[f141]) ).
fof(f144,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f119]) ).
fof(f145,plain,
m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f119]) ).
fof(f146,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f119]) ).
fof(f147,plain,
k8_relset_2(sK0,sK1,sK2,k5_subset_1(k2_zfmisc_1(sK0,sK1),sK3,sK4)) != k5_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK3),k8_relset_2(sK0,sK1,sK2,sK4)),
inference(cnf_transformation,[],[f119]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f155,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f121]) ).
fof(f157,plain,
! [X0,X1] :
( r2_hidden(sK5(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f158,plain,
! [X0,X1] :
( ~ r2_hidden(sK5(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f159,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f128]) ).
fof(f160,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f128]) ).
fof(f161,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f128]) ).
fof(f163,plain,
! [X2,X0,X1] :
( r2_hidden(sK6(X0,X1,X2),X2)
| r2_hidden(sK6(X0,X1,X2),X0)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f128]) ).
fof(f169,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f171,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,[],[f89]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(k3_xboole_0(X1,X2),k1_tarski(X0)) = k3_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0)))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f210,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,[],[f109]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| r2_hidden(sK17(X2,X3,X4),X2)
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK17(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,[],[f142]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f225,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k3_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f226,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f160]) ).
fof(f227,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f159]) ).
fof(f228,definition,
sF18 = k2_zfmisc_1(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f229,plain,
k2_zfmisc_1(sK0,sK1) = sF18,
inference(reorient_equations,[],[f228]) ).
fof(f230,definition,
sF19 = k5_subset_1(sF18,sK3,sK4),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f231,plain,
k5_subset_1(sF18,sK3,sK4) = sF19,
inference(reorient_equations,[],[f230]) ).
fof(f232,definition,
sF20 = k8_relset_2(sK0,sK1,sK2,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f233,plain,
k8_relset_2(sK0,sK1,sK2,sF19) = sF20,
inference(reorient_equations,[],[f232]) ).
fof(f234,definition,
sF21 = k8_relset_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f235,plain,
k8_relset_2(sK0,sK1,sK2,sK3) = sF21,
inference(reorient_equations,[],[f234]) ).
fof(f236,definition,
sF22 = k8_relset_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f237,plain,
k8_relset_2(sK0,sK1,sK2,sK4) = sF22,
inference(reorient_equations,[],[f236]) ).
fof(f238,definition,
sF23 = k5_subset_1(sK1,sF21,sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f239,plain,
k5_subset_1(sK1,sF21,sF22) = sF23,
inference(reorient_equations,[],[f238]) ).
fof(f240,plain,
sF20 != sF23,
inference(definition_folding,[],[f147,f239,f237,f235,f233,f231,f229]) ).
fof(f241,definition,
sF24 = k1_zfmisc_1(sF18),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f242,plain,
k1_zfmisc_1(sF18) = sF24,
inference(reorient_equations,[],[f241]) ).
fof(f243,plain,
m1_subset_1(sK4,sF24),
inference(definition_folding,[],[f146,f242,f229]) ).
fof(f244,plain,
m1_subset_1(sK3,sF24),
inference(definition_folding,[],[f145,f242,f229]) ).
fof(f245,definition,
sF25 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f246,plain,
k1_zfmisc_1(sK0) = sF25,
inference(reorient_equations,[],[f245]) ).
fof(f247,plain,
m1_subset_1(sK2,sF25),
inference(definition_folding,[],[f144,f246]) ).
fof(f248,plain,
( m1_subset_1(sF20,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sF19,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f171,f233]) ).
fof(f249,plain,
( m1_subset_1(sF21,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f171,f235]) ).
fof(f250,plain,
( m1_subset_1(sF22,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f171,f237]) ).
fof(f253,plain,
( ~ m1_subset_1(sK2,sF25)
| m1_subset_1(sF22,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f250,f246]) ).
fof(f254,plain,
( ~ m1_subset_1(sK2,sF25)
| m1_subset_1(sF21,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f249,f246]) ).
fof(f255,plain,
( ~ m1_subset_1(sK2,sF25)
| m1_subset_1(sF20,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF19,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f248,f246]) ).
fof(f256,plain,
( m1_subset_1(sF22,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f253,f247]) ).
fof(f257,plain,
( m1_subset_1(sF21,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f254,f247]) ).
fof(f258,plain,
( m1_subset_1(sF20,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF19,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f255,f247]) ).
fof(f259,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF18))
| m1_subset_1(sF22,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f256,f229]) ).
fof(f260,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF18))
| m1_subset_1(sF21,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f257,f229]) ).
fof(f261,plain,
( ~ m1_subset_1(sF19,k1_zfmisc_1(sF18))
| m1_subset_1(sF20,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f258,f229]) ).
fof(f262,plain,
( ~ m1_subset_1(sK4,sF24)
| m1_subset_1(sF22,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f259,f242]) ).
fof(f263,plain,
( ~ m1_subset_1(sK3,sF24)
| m1_subset_1(sF21,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f260,f242]) ).
fof(f264,plain,
( ~ m1_subset_1(sF19,sF24)
| m1_subset_1(sF20,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f261,f242]) ).
fof(f265,plain,
m1_subset_1(sF22,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f262,f243]) ).
fof(f266,plain,
m1_subset_1(sF21,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f263,f244]) ).
fof(f268,definition,
( spl26_1
<=> m1_subset_1(sF20,k1_zfmisc_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f270,plain,
( m1_subset_1(sF20,k1_zfmisc_1(sK1))
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl26_2
<=> m1_subset_1(sF19,sF24) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f273,plain,
( m1_subset_1(sF19,sF24)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( ~ m1_subset_1(sF19,sF24)
| spl26_2 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl26_1
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f264,f272,f268]) ).
fof(f277,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF18))
| v1_relat_1(X0) ),
inference(superposition,[],[f150,f229]) ).
fof(f278,plain,
! [X0] :
( ~ m1_subset_1(X0,sF24)
| v1_relat_1(X0) ),
inference(forward_demodulation,[],[f277,f242]) ).
fof(f279,plain,
v1_relat_1(sK3),
inference(resolution,[],[f278,f244]) ).
fof(f280,plain,
v1_relat_1(sK4),
inference(resolution,[],[f278,f243]) ).
fof(f283,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| k5_subset_1(sK1,X0,sF22) = k3_xboole_0(X0,sF22) ),
inference(resolution,[],[f202,f265]) ).
fof(f284,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF24)
| ~ m1_subset_1(X0,sF24)
| k3_xboole_0(X1,X0) = k5_subset_1(sF18,X1,X0) ),
inference(superposition,[],[f202,f242]) ).
fof(f287,plain,
! [X0] :
( ~ m1_subset_1(X0,sF24)
| k3_xboole_0(sK3,X0) = k5_subset_1(sF18,sK3,X0) ),
inference(resolution,[],[f284,f244]) ).
fof(f289,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF20)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ m1_subset_1(sF19,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f210,f233]) ).
fof(f290,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF21)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f210,f235]) ).
fof(f291,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f210,f237]) ).
fof(f292,plain,
! [X0,X1] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF18))
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f291,f229]) ).
fof(f293,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF18))
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f290,f229]) ).
fof(f294,plain,
! [X0,X1] :
( ~ m1_subset_1(sF19,k1_zfmisc_1(sF18))
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f289,f229]) ).
fof(f295,plain,
! [X0,X1] :
( ~ m1_subset_1(sK4,sF24)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f292,f242]) ).
fof(f296,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,sF24)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f293,f242]) ).
fof(f297,plain,
! [X0,X1] :
( ~ m1_subset_1(sF19,sF24)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f294,f242]) ).
fof(f298,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f295,f243]) ).
fof(f299,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF21)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f296,f244]) ).
fof(f300,plain,
! [X0,X1] :
( ~ m1_subset_1(sK2,sF25)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1))) ),
inference(forward_demodulation,[],[f298,f246]) ).
fof(f301,plain,
! [X0,X1] :
( ~ m1_subset_1(sK2,sF25)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1))) ),
inference(forward_demodulation,[],[f299,f246]) ).
fof(f302,plain,
! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF22) ),
inference(forward_subsumption_resolution,[],[f300,f247]) ).
fof(f303,plain,
! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF21) ),
inference(forward_subsumption_resolution,[],[f301,f247]) ).
fof(f335,plain,
k5_subset_1(sF18,sK3,sK4) = k3_xboole_0(sK3,sK4),
inference(resolution,[],[f287,f243]) ).
fof(f336,plain,
sF19 = k3_xboole_0(sK3,sK4),
inference(forward_demodulation,[],[f335,f231]) ).
fof(f381,plain,
( m1_subset_1(sF23,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF21,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF22,k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f169,f239]) ).
fof(f382,plain,
( m1_subset_1(sF19,k1_zfmisc_1(sF18))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sF18))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF18)) ),
inference(superposition,[],[f169,f231]) ).
fof(f385,plain,
( m1_subset_1(sF19,sF24)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sF18))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF18)) ),
inference(forward_demodulation,[],[f382,f242]) ).
fof(f386,plain,
( m1_subset_1(sF23,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF22,k1_zfmisc_1(sK1)) ),
inference(forward_subsumption_resolution,[],[f381,f266]) ).
fof(f388,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF18))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF18))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f385,f274]) ).
fof(f389,plain,
m1_subset_1(sF23,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f386,f265]) ).
fof(f390,plain,
( ~ m1_subset_1(sK3,sF24)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF18))
| spl26_2 ),
inference(forward_demodulation,[],[f388,f242]) ).
fof(f391,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF18))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f390,f244]) ).
fof(f392,plain,
( ~ m1_subset_1(sK4,sF24)
| spl26_2 ),
inference(forward_demodulation,[],[f391,f242]) ).
fof(f393,plain,
( $false
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f392,f243]) ).
fof(f394,plain,
spl26_2,
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f395,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF20)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f297,f273]) ).
fof(f396,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK2,sF25)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1))) )
| ~ spl26_2 ),
inference(forward_demodulation,[],[f395,f246]) ).
fof(f397,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF20) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f396,f247]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF18))
| r2_hidden(sK17(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(superposition,[],[f212,f229]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF24)
| r2_hidden(sK17(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(forward_demodulation,[],[f424,f242]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF25)
| ~ m1_subset_1(X0,sF24)
| r2_hidden(sK17(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| v1_xboole_0(sK1) ),
inference(forward_demodulation,[],[f425,f246]) ).
fof(f428,definition,
( spl26_8
<=> v1_xboole_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f429,plain,
( ~ v1_xboole_0(sK1)
| spl26_8 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( v1_xboole_0(sK1)
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f432,definition,
( spl26_9
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF25)
| ~ m1_subset_1(X2,sK1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| r2_hidden(sK17(X1,X2,X0),X1)
| ~ m1_subset_1(X0,sF24) ) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f433,plain,
( ! [X2,X0,X1] :
( r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| r2_hidden(sK17(X1,X2,X0),X1)
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,sF25)
| ~ m1_subset_1(X0,sF24) )
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( spl26_8
| spl26_9 ),
inference(avatar_split_clause,[],[f426,f432,f428]) ).
fof(f464,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(k3_xboole_0(X0,sK4),k1_tarski(X1)) = k3_xboole_0(k9_relat_1(X0,k1_tarski(X1)),k9_relat_1(sK4,k1_tarski(X1))) ),
inference(resolution,[],[f208,f280]) ).
fof(f474,plain,
! [X0] : k9_relat_1(k3_xboole_0(sK3,sK4),k1_tarski(X0)) = k3_xboole_0(k9_relat_1(sK3,k1_tarski(X0)),k9_relat_1(sK4,k1_tarski(X0))),
inference(resolution,[],[f464,f279]) ).
fof(f479,plain,
! [X0] : k9_relat_1(sF19,k1_tarski(X0)) = k3_xboole_0(k9_relat_1(sK3,k1_tarski(X0)),k9_relat_1(sK4,k1_tarski(X0))),
inference(forward_demodulation,[],[f474,f336]) ).
fof(f487,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sF19,k1_tarski(X0)))
| r2_hidden(X1,k9_relat_1(sK4,k1_tarski(X0))) ),
inference(superposition,[],[f227,f479]) ).
fof(f488,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sF19,k1_tarski(X0)))
| r2_hidden(X1,k9_relat_1(sK3,k1_tarski(X0))) ),
inference(superposition,[],[f226,f479]) ).
fof(f489,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK4,k1_tarski(X0)))
| ~ r2_hidden(X1,k9_relat_1(sK3,k1_tarski(X0)))
| r2_hidden(X1,k9_relat_1(sF19,k1_tarski(X0))) ),
inference(superposition,[],[f225,f479]) ).
fof(f490,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF22) ),
inference(resolution,[],[f489,f302]) ).
fof(f491,plain,
! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF21) ),
inference(resolution,[],[f490,f303]) ).
fof(f492,plain,
! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sF19,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21) ),
inference(duplicate_literal_removal,[],[f491]) ).
fof(f493,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X1,k8_relset_2(X2,X3,X0,sF19))
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X1,sF21)
| ~ r2_hidden(sK17(X0,X1,sF19),sK2)
| ~ m1_subset_1(sF19,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) ),
inference(resolution,[],[f492,f213]) ).
fof(f603,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF20) )
| ~ spl26_2 ),
inference(resolution,[],[f488,f397]) ).
fof(f606,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X1,k8_relset_2(X2,X3,X0,sK3))
| ~ r2_hidden(X1,sF20)
| ~ r2_hidden(sK17(X0,X1,sK3),sK2)
| ~ m1_subset_1(sK3,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) )
| ~ spl26_2 ),
inference(resolution,[],[f603,f213]) ).
fof(f611,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF20) )
| ~ spl26_2 ),
inference(resolution,[],[f487,f397]) ).
fof(f614,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X1,k8_relset_2(X2,X3,X0,sK4))
| ~ r2_hidden(X1,sF20)
| ~ r2_hidden(sK17(X0,X1,sK4),sK2)
| ~ m1_subset_1(sK4,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) )
| ~ spl26_2 ),
inference(resolution,[],[f611,f213]) ).
fof(f621,plain,
( ! [X0] :
( r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl26_2 ),
inference(superposition,[],[f614,f237]) ).
fof(f628,plain,
( ! [X0] :
( r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl26_2 ),
inference(superposition,[],[f606,f235]) ).
fof(f635,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_subset_1(X0,sK1) )
| ~ spl26_1 ),
inference(resolution,[],[f218,f270]) ).
fof(f637,plain,
! [X0] :
( ~ r2_hidden(X0,sF22)
| m1_subset_1(X0,sK1) ),
inference(resolution,[],[f218,f265]) ).
fof(f917,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ v1_xboole_0(sK1) )
| ~ spl26_1 ),
inference(resolution,[],[f219,f270]) ).
fof(f920,plain,
! [X0] :
( ~ r2_hidden(X0,sF23)
| ~ v1_xboole_0(sK1) ),
inference(resolution,[],[f219,f389]) ).
fof(f931,plain,
( ! [X0] : ~ r2_hidden(X0,sF23)
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f920,f430]) ).
fof(f934,plain,
( ! [X0] : ~ r2_hidden(X0,sF20)
| ~ spl26_1
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f917,f430]) ).
fof(f1012,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(sF19,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(superposition,[],[f493,f233]) ).
fof(f1374,plain,
k5_subset_1(sK1,sF21,sF22) = k3_xboole_0(sF21,sF22),
inference(resolution,[],[f283,f266]) ).
fof(f1378,plain,
sF23 = k3_xboole_0(sF21,sF22),
inference(forward_demodulation,[],[f1374,f239]) ).
fof(f1380,plain,
! [X0] :
( ~ r2_hidden(X0,sF23)
| r2_hidden(X0,sF22) ),
inference(superposition,[],[f227,f1378]) ).
fof(f1381,plain,
! [X0] :
( ~ r2_hidden(X0,sF23)
| r2_hidden(X0,sF21) ),
inference(superposition,[],[f226,f1378]) ).
fof(f1382,plain,
! [X0] :
( ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| r2_hidden(X0,sF23) ),
inference(superposition,[],[f225,f1378]) ).
fof(f2175,plain,
( ! [X0,X1] :
( r2_hidden(sK6(sF20,X0,X1),X1)
| k3_xboole_0(sF20,X0) = X1 )
| ~ spl26_1
| ~ spl26_8 ),
inference(resolution,[],[f163,f934]) ).
fof(f2223,plain,
( ! [X0] : sF20 = k3_xboole_0(sF20,X0)
| ~ spl26_1
| ~ spl26_8 ),
inference(resolution,[],[f2175,f934]) ).
fof(f2233,plain,
( ! [X0] : sF23 = k3_xboole_0(sF20,X0)
| ~ spl26_1
| ~ spl26_8 ),
inference(resolution,[],[f2175,f931]) ).
fof(f2244,plain,
( sF20 = sF23
| ~ spl26_1
| ~ spl26_8 ),
inference(forward_demodulation,[],[f2223,f2233]) ).
fof(f2302,plain,
( $false
| ~ spl26_1
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f2244,f240]) ).
fof(f2303,plain,
( ~ spl26_1
| ~ spl26_8 ),
inference(avatar_contradiction_clause,[],[f2302]) ).
fof(f2356,plain,
( ! [X0] :
( r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f621,f429]) ).
fof(f2357,plain,
( ! [X0] :
( r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f628,f429]) ).
fof(f2358,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(sF19,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f1012,f429]) ).
fof(f2429,plain,
( ! [X0] :
( r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2356,f635]) ).
fof(f2430,plain,
( ! [X0] :
( r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2357,f635]) ).
fof(f2431,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(sF19,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2358,f637]) ).
fof(f2439,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF18))
| r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_demodulation,[],[f2429,f229]) ).
fof(f2440,plain,
( ! [X0] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF18))
| r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_demodulation,[],[f2430,f229]) ).
fof(f2441,plain,
( ! [X0] :
( ~ m1_subset_1(sF19,k1_zfmisc_1(sF18))
| r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_demodulation,[],[f2431,f229]) ).
fof(f2449,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,sF24)
| r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_demodulation,[],[f2439,f242]) ).
fof(f2450,plain,
( ! [X0] :
( ~ m1_subset_1(sK3,sF24)
| r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_demodulation,[],[f2440,f242]) ).
fof(f2451,plain,
( ! [X0] :
( ~ m1_subset_1(sF19,sF24)
| r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_demodulation,[],[f2441,f242]) ).
fof(f2457,definition,
( spl26_107
<=> ! [X0] :
( r2_hidden(X0,sF22)
| ~ m1_subset_1(X0,sK1)
| r2_hidden(sK17(sK2,X0,sK4),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl26_107])],[avatar_definition]) ).
fof(f2458,plain,
( ! [X0] :
( r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF22) )
| ~ spl26_107 ),
inference(avatar_component_clause,[],[f2457]) ).
fof(f2465,definition,
( spl26_109
<=> ! [X0] :
( r2_hidden(X0,sF21)
| ~ m1_subset_1(X0,sK1)
| r2_hidden(sK17(sK2,X0,sK3),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl26_109])],[avatar_definition]) ).
fof(f2466,plain,
( ! [X0] :
( r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF21) )
| ~ spl26_109 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f2473,definition,
( spl26_111
<=> ! [X0] :
( r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sK1)
| r2_hidden(sK17(sK2,X0,sF19),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl26_111])],[avatar_definition]) ).
fof(f2474,plain,
( ! [X0] :
( r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF20) )
| ~ spl26_111 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f2479,plain,
( ! [X0] :
( r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2449,f243]) ).
fof(f2480,plain,
( ! [X0] :
( r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2450,f244]) ).
fof(f2481,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2451,f273]) ).
fof(f2485,plain,
( ! [X0] :
( ~ m1_subset_1(sK2,sF25)
| r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK4),sK2) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_demodulation,[],[f2479,f246]) ).
fof(f2486,plain,
( ! [X0] :
( ~ m1_subset_1(sK2,sF25)
| r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| ~ r2_hidden(sK17(sK2,X0,sK3),sK2) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_demodulation,[],[f2480,f246]) ).
fof(f2487,plain,
( ! [X0] :
( ~ m1_subset_1(sK2,sF25)
| r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| ~ r2_hidden(sK17(sK2,X0,sF19),sK2) )
| ~ spl26_2
| spl26_8 ),
inference(forward_demodulation,[],[f2481,f246]) ).
fof(f2488,plain,
( ! [X0] :
( ~ r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ r2_hidden(X0,sF20)
| r2_hidden(X0,sF22) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2485,f247]) ).
fof(f2489,plain,
( ! [X0] :
( ~ r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ r2_hidden(X0,sF20)
| r2_hidden(X0,sF21) )
| ~ spl26_1
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2486,f247]) ).
fof(f2490,plain,
( ! [X0] :
( ~ r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| r2_hidden(X0,sF20) )
| ~ spl26_2
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f2487,f247]) ).
fof(f2496,plain,
! [X0] :
( r2_hidden(sK5(sF23,X0),sF22)
| r1_tarski(sF23,X0) ),
inference(resolution,[],[f1380,f157]) ).
fof(f2506,plain,
! [X0] :
( r2_hidden(sK5(sF23,X0),sF21)
| r1_tarski(sF23,X0) ),
inference(resolution,[],[f1381,f157]) ).
fof(f2584,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,sF25)
| ~ m1_subset_1(sF19,sF24) )
| ~ spl26_9 ),
inference(superposition,[],[f433,f233]) ).
fof(f2585,plain,
( ! [X0] :
( r2_hidden(X0,sF21)
| r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,sF25)
| ~ m1_subset_1(sK3,sF24) )
| ~ spl26_9 ),
inference(superposition,[],[f433,f235]) ).
fof(f2586,plain,
( ! [X0] :
( r2_hidden(X0,sF22)
| r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,sF25)
| ~ m1_subset_1(sK4,sF24) )
| ~ spl26_9 ),
inference(superposition,[],[f433,f237]) ).
fof(f2589,plain,
( ! [X0] :
( r2_hidden(X0,sF22)
| r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK4,sF24) )
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2586,f247]) ).
fof(f2590,plain,
( ! [X0] :
( r2_hidden(X0,sF21)
| r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK3,sF24) )
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2585,f247]) ).
fof(f2591,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF19,sF24) )
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2584,f247]) ).
fof(f2596,plain,
( ! [X0] :
( r2_hidden(X0,sF22)
| r2_hidden(sK17(sK2,X0,sK4),sK2)
| ~ m1_subset_1(X0,sK1) )
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2589,f243]) ).
fof(f2597,plain,
( ! [X0] :
( r2_hidden(X0,sF21)
| r2_hidden(sK17(sK2,X0,sK3),sK2)
| ~ m1_subset_1(X0,sK1) )
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2590,f244]) ).
fof(f2598,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| r2_hidden(sK17(sK2,X0,sF19),sK2)
| ~ m1_subset_1(X0,sK1) )
| ~ spl26_2
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2591,f273]) ).
fof(f2673,plain,
( spl26_107
| ~ spl26_9 ),
inference(avatar_split_clause,[],[f2596,f432,f2457]) ).
fof(f2674,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20)
| r2_hidden(X0,sF22) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107 ),
inference(resolution,[],[f2458,f2488]) ).
fof(f2683,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF20) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107 ),
inference(duplicate_literal_removal,[],[f2674]) ).
fof(f2720,plain,
( spl26_109
| ~ spl26_9 ),
inference(avatar_split_clause,[],[f2597,f432,f2465]) ).
fof(f2751,plain,
( spl26_111
| ~ spl26_2
| ~ spl26_9 ),
inference(avatar_split_clause,[],[f2598,f432,f272,f2473]) ).
fof(f2752,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| r2_hidden(X0,sF22) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107 ),
inference(forward_subsumption_resolution,[],[f2683,f635]) ).
fof(f2753,plain,
( ! [X0] :
( r2_hidden(sK5(sF20,X0),sF22)
| r1_tarski(sF20,X0) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107 ),
inference(resolution,[],[f2752,f157]) ).
fof(f2758,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21)
| r2_hidden(X0,sF20) )
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(resolution,[],[f2474,f2490]) ).
fof(f2765,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF21) )
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(duplicate_literal_removal,[],[f2758]) ).
fof(f2767,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF22)
| r2_hidden(X0,sF20)
| ~ r2_hidden(X0,sF21) )
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(forward_subsumption_resolution,[],[f2765,f637]) ).
fof(f2769,plain,
( ! [X0] :
( r2_hidden(sK5(sF23,X0),sF20)
| ~ r2_hidden(sK5(sF23,X0),sF21)
| r1_tarski(sF23,X0) )
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(resolution,[],[f2767,f2496]) ).
fof(f2774,plain,
( ! [X0] :
( r2_hidden(sK5(sF23,X0),sF20)
| r1_tarski(sF23,X0) )
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(forward_subsumption_resolution,[],[f2769,f2506]) ).
fof(f2775,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20)
| r2_hidden(X0,sF21) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_109 ),
inference(resolution,[],[f2466,f2489]) ).
fof(f2784,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK1)
| r2_hidden(X0,sF21)
| ~ r2_hidden(X0,sF20) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_109 ),
inference(duplicate_literal_removal,[],[f2775]) ).
fof(f2786,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| r2_hidden(X0,sF21) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_109 ),
inference(forward_subsumption_resolution,[],[f2784,f635]) ).
fof(f2787,plain,
( ! [X0] :
( r2_hidden(sK5(sF20,X0),sF21)
| r1_tarski(sF20,X0) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_109 ),
inference(resolution,[],[f2786,f157]) ).
fof(f2825,plain,
( r1_tarski(sF23,sF20)
| r1_tarski(sF23,sF20)
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(resolution,[],[f2774,f158]) ).
fof(f2836,plain,
( r1_tarski(sF23,sF20)
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(duplicate_literal_removal,[],[f2825]) ).
fof(f2854,plain,
( ~ r1_tarski(sF20,sF23)
| sF20 = sF23
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(resolution,[],[f2836,f155]) ).
fof(f2855,plain,
( ~ r1_tarski(sF20,sF23)
| ~ spl26_2
| spl26_8
| ~ spl26_111 ),
inference(forward_subsumption_resolution,[],[f2854,f240]) ).
fof(f2868,plain,
( ! [X0] :
( r1_tarski(sF20,X0)
| ~ r2_hidden(sK5(sF20,X0),sF21)
| r2_hidden(sK5(sF20,X0),sF23) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107 ),
inference(resolution,[],[f2753,f1382]) ).
fof(f2880,plain,
( ! [X0] :
( r2_hidden(sK5(sF20,X0),sF23)
| r1_tarski(sF20,X0) )
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107
| ~ spl26_109 ),
inference(forward_subsumption_resolution,[],[f2868,f2787]) ).
fof(f2882,plain,
( r1_tarski(sF20,sF23)
| r1_tarski(sF20,sF23)
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107
| ~ spl26_109 ),
inference(resolution,[],[f2880,f158]) ).
fof(f2893,plain,
( r1_tarski(sF20,sF23)
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107
| ~ spl26_109 ),
inference(duplicate_literal_removal,[],[f2882]) ).
fof(f2918,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107
| ~ spl26_109
| ~ spl26_111 ),
inference(forward_subsumption_resolution,[],[f2893,f2855]) ).
fof(f2919,plain,
( ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107
| ~ spl26_109
| ~ spl26_111 ),
inference(avatar_contradiction_clause,[],[f2918]) ).
cnf(s1,plain,
( spl26_1
| ~ spl26_2 ),
inference(sat_conversion,[],[f275]) ).
cnf(s5,plain,
spl26_2,
inference(sat_conversion,[],[f394]) ).
cnf(s6,plain,
( spl26_8
| spl26_9 ),
inference(sat_conversion,[],[f434]) ).
cnf(s56,plain,
( ~ spl26_1
| ~ spl26_8 ),
inference(sat_conversion,[],[f2303]) ).
cnf(s83,plain,
( ~ spl26_9
| spl26_107 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s86,plain,
( ~ spl26_9
| spl26_109 ),
inference(sat_conversion,[],[f2720]) ).
cnf(s93,plain,
( ~ spl26_2
| ~ spl26_9
| spl26_111 ),
inference(sat_conversion,[],[f2751]) ).
cnf(s105,plain,
( ~ spl26_1
| ~ spl26_2
| spl26_8
| ~ spl26_107
| ~ spl26_109
| ~ spl26_111 ),
inference(sat_conversion,[],[f2919]) ).
cnf(s111,plain,
spl26_1,
inference(rat,[],[s1,s5]) ).
cnf(s112,plain,
~ spl26_8,
inference(rat,[],[s56,s111]) ).
cnf(s113,plain,
spl26_9,
inference(rat,[],[s6,s112]) ).
cnf(s114,plain,
spl26_111,
inference(rat,[],[s93,s5,s113]) ).
cnf(s115,plain,
spl26_109,
inference(rat,[],[s86,s113]) ).
cnf(s116,plain,
spl26_107,
inference(rat,[],[s83,s113]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s105,s114,s112,s111,s5,s115,s116]) ).
fof(f2920,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU433+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n007.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Mon Sep 28 05:23:55 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 9.74/3.91 % (2065869)Detected formulas, will run a generic FOF schedule.
% 9.74/3.91 % (2065880)dis-21_1_sil=8000:lcm=predicate:random_seed=3012036016: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)
% 9.74/3.91 % (2065875)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=2400266651:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.74/3.91 % (2065877)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3297702113:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.74/3.91 % (2065876)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=1009360651:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.74/3.91 % (2065878)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2638813912:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.74/3.91 % (2065874)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=3564094090:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.74/3.91 % (2065877)Refutation not found, incomplete strategy
% 9.74/3.91 % (2065877)------------------------------
% 9.74/3.91 % (2065877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065877)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065877)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.91 % (2065877)Time elapsed: 0.004 s
% 9.74/3.91 % (2065877)Peak memory usage: 88 MB
% 9.74/3.91 % (2065877)Instructions burned: 2 (million)
% 9.74/3.91 % (2065880)Instruction limit reached!
% 9.74/3.91 % (2065880)------------------------------
% 9.74/3.91 % (2065880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065880)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065880)Termination reason: Instruction limit
% 9.74/3.91 % (2065880)Termination phase: Saturation
% 9.74/3.91 % (2065880)Time elapsed: 0.061 s
% 9.74/3.91 % (2065880)Peak memory usage: 89 MB
% 9.74/3.91 % (2065880)Instructions burned: 129 (million)
% 9.74/3.91 % (2065879)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2945790686:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.74/3.91 % (2065878)Instruction limit reached!
% 9.74/3.91 % (2065878)------------------------------
% 9.74/3.91 % (2065878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065878)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065878)Termination reason: Instruction limit
% 9.74/3.91 % (2065878)Termination phase: Saturation
% 9.74/3.91 % (2065878)Time elapsed: 0.116 s
% 9.74/3.91 % (2065878)Peak memory usage: 88 MB
% 9.74/3.91 % (2065878)Instructions burned: 119 (million)
% 9.74/3.91 % (2065879)Instruction limit reached!
% 9.74/3.91 % (2065879)------------------------------
% 9.74/3.91 % (2065879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065879)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065879)Termination reason: Instruction limit
% 9.74/3.91 % (2065879)Termination phase: Saturation
% 9.74/3.91 % (2065879)Time elapsed: 0.153 s
% 9.74/3.91 % (2065879)Peak memory usage: 89 MB
% 9.74/3.91 % (2065879)Instructions burned: 139 (million)
% 9.74/3.91 % (2065887)lrs+10_1_sil=8000:sp=occurrence:random_seed=1800248465:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.74/3.91 % (2065877)------------------------------
% 9.74/3.91 % (2065877)------------------------------
% 9.74/3.91 % (2065889)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2409959522:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.74/3.91 % (2065890)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3327827026:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.74/3.91 % (2065887)Instruction limit reached!
% 9.74/3.91 % (2065887)------------------------------
% 9.74/3.91 % (2065887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065887)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065887)Termination reason: Instruction limit
% 9.74/3.91 % (2065887)Termination phase: Saturation
% 9.74/3.91 % (2065887)Time elapsed: 0.167 s
% 9.74/3.91 % (2065887)Peak memory usage: 91 MB
% 9.74/3.91 % (2065887)Instructions burned: 286 (million)
% 9.74/3.91 % (2065889)Instruction limit reached!
% 9.74/3.91 % (2065889)------------------------------
% 9.74/3.91 % (2065889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065889)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065889)Termination reason: Instruction limit
% 9.74/3.91 % (2065889)Termination phase: Saturation
% 9.74/3.91 % (2065889)Time elapsed: 0.138 s
% 9.74/3.91 % (2065889)Peak memory usage: 89 MB
% 9.74/3.91 % (2065889)Instructions burned: 158 (million)
% 9.74/3.91 % (2065893)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=2536919439:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 9.74/3.91 % (2065895)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=131205101:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 9.74/3.91 % (2065890)Instruction limit reached!
% 9.74/3.91 % (2065890)------------------------------
% 9.74/3.91 % (2065890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065890)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065890)Termination reason: Instruction limit
% 9.74/3.91 % (2065890)Termination phase: Saturation
% 9.74/3.91 % (2065890)Time elapsed: 0.353 s
% 9.74/3.91 % (2065890)Peak memory usage: 91 MB
% 9.74/3.91 % (2065890)Instructions burned: 326 (million)
% 9.74/3.91 % (2065896)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3312150852:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.74/3.91 % (2065895)Instruction limit reached!
% 9.74/3.91 % (2065895)------------------------------
% 9.74/3.91 % (2065895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065895)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065895)Termination reason: Instruction limit
% 9.74/3.91 % (2065895)Termination phase: Saturation
% 9.74/3.91 % (2065895)Time elapsed: 0.161 s
% 9.74/3.91 % (2065895)Peak memory usage: 90 MB
% 9.74/3.91 % (2065895)Instructions burned: 294 (million)
% 9.74/3.91 % (2065893)Instruction limit reached!
% 9.74/3.91 % (2065893)------------------------------
% 9.74/3.91 % (2065893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065893)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065893)Termination reason: Instruction limit
% 9.74/3.91 % (2065893)Termination phase: Saturation
% 9.74/3.91 % (2065893)Time elapsed: 0.234 s
% 9.74/3.91 % (2065893)Peak memory usage: 92 MB
% 9.74/3.91 % (2065893)Instructions burned: 249 (million)
% 9.74/3.91 % (2065899)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=680963346:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 9.74/3.91 % (2065902)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4125998865:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 9.74/3.91 % (2065901)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3419811647:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 9.74/3.91 % (2065899)Instruction limit reached!
% 9.74/3.91 % (2065899)------------------------------
% 9.74/3.91 % (2065899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065899)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065899)Termination reason: Instruction limit
% 9.74/3.91 % (2065899)Termination phase: Saturation
% 9.74/3.91 % (2065899)Time elapsed: 0.137 s
% 9.74/3.91 % (2065899)Peak memory usage: 90 MB
% 9.74/3.91 % (2065899)Instructions burned: 113 (million)
% 9.74/3.91 % (2065901)Instruction limit reached!
% 9.74/3.91 % (2065901)------------------------------
% 9.74/3.91 % (2065901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065901)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065901)Termination reason: Instruction limit
% 9.74/3.91 % (2065901)Termination phase: Saturation
% 9.74/3.91 % (2065901)Time elapsed: 0.061 s
% 9.74/3.91 % (2065901)Peak memory usage: 89 MB
% 9.74/3.91 % (2065901)Instructions burned: 128 (million)
% 9.74/3.91 % (2065902)Instruction limit reached!
% 9.74/3.91 % (2065902)------------------------------
% 9.74/3.91 % (2065902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065902)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065902)Termination reason: Instruction limit
% 9.74/3.91 % (2065902)Termination phase: Saturation
% 9.74/3.91 % (2065902)Time elapsed: 0.109 s
% 9.74/3.91 % (2065902)Peak memory usage: 89 MB
% 9.74/3.91 % (2065902)Instructions burned: 115 (million)
% 9.74/3.91 % (2065907)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=169294177:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 9.74/3.91 % (2065907)Refutation not found, incomplete strategy
% 9.74/3.91 % (2065907)------------------------------
% 9.74/3.91 % (2065907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.91 % (2065907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.91 % (2065907)CaDiCaL version: 2.1.3
% 9.74/3.91 % (2065907)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.91 % (2065907)Time elapsed: 0.005 s
% 9.74/3.91 % (2065907)Peak memory usage: 89 MB
% 9.74/3.91 % (2065907)Instructions burned: 6 (million)
% 9.74/3.91 % (2065906)lrs+10_1_sil=8000:sp=occurrence:random_seed=3369564167:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 9.74/3.91 % (2065908)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2055772689:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 9.74/3.91 % (2065874)First to succeed.
% 9.74/3.91 % (2065907)------------------------------
% 9.74/3.91 % (2065907)------------------------------
% 9.74/3.91 % (2065874)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2065869"
% 9.74/3.91 % (2065912)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=560281510:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 9.74/3.91 % (2065874)Refutation found. Thanks to Tanya!
% 9.74/3.91 % SZS status Theorem for theBenchmark
% 9.74/3.91 % SZS output start Proof for theBenchmark
% See solution above
% 19.20/4.25 % (2065874)------------------------------
% 19.20/4.25 % (2065874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.20/4.25 % (2065874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/4.25 % (2065874)CaDiCaL version: 2.1.3
% 19.20/4.25 % (2065874)Termination reason: Refutation
% 19.20/4.25 % (2065874)Time elapsed: 1.828 s
% 19.20/4.25 % (2065874)Peak memory usage: 134 MB
% 19.20/4.25 % (2065874)Instructions burned: 1569 (million)
% 19.20/4.25 % (2065874)------------------------------
% 19.20/4.25 % (2065874)------------------------------
% 19.20/4.25 % (2065869)Success in time 2.577 s
% 19.20/4.25 % Vampire exiting
%------------------------------------------------------------------------------