%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU421+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 : n013.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 12:48:53 PM UTC 2026
% Result : Theorem 21.83s 5.61s
% Output : Refutation 33.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 40
% Syntax : Number of formulae : 280 ( 40 unt; 32 def)
% Number of atoms : 1015 ( 90 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1346 ( 611 ~; 632 |; 54 &)
% ( 41 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 37 ( 35 usr; 33 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 383 ( 0 sgn 360 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(X2,k5_setfam_1(X0,X1)) = k3_tarski(a_3_0_relset_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(X2,k5_setfam_1(X0,X1)) = k3_tarski(a_3_0_relset_2(X0,X1,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f7,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f9,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(f10,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f26,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
& v1_relat_1(X3) )
=> ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
& X0 = k9_relat_1(X3,X4)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_3_0_relset_2) ).
fof(f32,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(f38,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(f46,plain,
? [X0,X1] :
( ? [X2] :
( k9_relat_1(X2,k5_setfam_1(X0,X1)) != k3_tarski(a_3_0_relset_2(X0,X1,X2))
& v1_relat_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
& X0 = k9_relat_1(X3,X4)
& r2_hidden(X4,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(ennf_transformation,[],[f26]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
& X0 = k9_relat_1(X3,X4)
& r2_hidden(X4,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(flattening,[],[f52]) ).
fof(f55,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,[],[f32]) ).
fof(f60,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f61,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f60]) ).
fof(f66,plain,
( k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) != k3_tarski(a_3_0_relset_2(sK0,sK1,sK2))
& v1_relat_1(sK2)
& m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f46]) ).
fof(f69,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) ) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,X3),X0)
& r2_hidden(X5,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ? [X8] :
( r2_hidden(k4_tarski(X8,X6),X0)
& r2_hidden(X8,X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK3(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK3(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK4(X0,X1,X2),sK3(X0,X1,X2)),X0)
& r2_hidden(sK4(X0,X1,X2),X1) )
| r2_hidden(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ( r2_hidden(k4_tarski(sK5(X0,X1,X6),X6),X0)
& r2_hidden(sK5(X0,X1,X6),X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X5,sK4(X0,X1,X2)),skolemize(X8,sK5(X0,X1,X6))],[f70]) ).
fof(f75,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,[],[f9]) ).
fof(f76,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,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK7(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK7(X0,X1),X1) )
& ( ( r2_hidden(sK7(X0,X1),sK8(X0,X1))
& r2_hidden(sK8(X0,X1),X0) )
| r2_hidden(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK9(X0,X5))
& r2_hidden(sK9(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f76]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k9_relat_1(X3,X4) != X0
| ~ r2_hidden(X4,X2) ) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
& X0 = k9_relat_1(X3,X4)
& r2_hidden(X4,X2) )
| ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(nnf_transformation,[],[f53]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k9_relat_1(X3,X4) != X0
| ~ r2_hidden(X4,X2) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& k9_relat_1(X3,X5) = X0
& r2_hidden(X5,X2) )
| ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k9_relat_1(X3,X4) != X0
| ~ r2_hidden(X4,X2) ) )
& ( ( m1_subset_1(sK11(X0,X1,X2,X3),k1_zfmisc_1(X1))
& k9_relat_1(X3,sK11(X0,X1,X2,X3)) = X0
& r2_hidden(sK11(X0,X1,X2,X3),X2) )
| ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X5,sK11(X0,X1,X2,X3))],[f80]) ).
fof(f90,plain,
m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f66]) ).
fof(f91,plain,
v1_relat_1(sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f92,plain,
k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) != k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f66]) ).
fof(f95,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
! [X2,X0,X1,X6] :
( r2_hidden(sK5(X0,X1,X6),X1)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f100,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k4_tarski(sK5(X0,X1,X6),X6),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f101,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
! [X0,X1,X5] :
( r2_hidden(sK9(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f109,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK9(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f110,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f111,plain,
! [X0,X1] :
( k3_tarski(X0) = X1
| r2_hidden(sK8(X0,X1),X0)
| r2_hidden(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f112,plain,
! [X0,X1] :
( k3_tarski(X0) = X1
| r2_hidden(sK7(X0,X1),sK8(X0,X1))
| r2_hidden(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f113,plain,
! [X3,X0,X1] :
( k3_tarski(X0) = X1
| ~ r2_hidden(sK7(X0,X1),X3)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f114,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK11(X0,X1,X2,X3),X2)
| ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X3,sK11(X0,X1,X2,X3)) = X0
| ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k9_relat_1(X3,X4) != X0
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f137,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,[],[f55]) ).
fof(f145,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f152,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f101,f114]) ).
fof(f153,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK5(X0,X1,X6),X6),k1_tarski(sK5(X0,X1,X6))),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f100,f114]) ).
fof(f156,plain,
! [X0,X1,X6,X7] :
( r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ r2_hidden(X7,X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f152]) ).
fof(f157,plain,
! [X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK5(X0,X1,X6),X6),k1_tarski(sK5(X0,X1,X6))),X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f158,plain,
! [X0,X1,X6] :
( r2_hidden(sK5(X0,X1,X6),X1)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f99]) ).
fof(f159,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f160,plain,
! [X0,X5] :
( r2_hidden(X5,sK9(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f109]) ).
fof(f161,plain,
! [X0,X5] :
( r2_hidden(sK9(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f108]) ).
fof(f162,plain,
! [X2,X3,X1,X4] :
( r2_hidden(k9_relat_1(X3,X4),a_3_0_relset_2(X1,X2,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_relat_1(X3) ),
inference(equality_resolution,[],[f127]) ).
fof(f166,definition,
( spl19_1
<=> k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) = k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f168,plain,
( k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) != k3_tarski(a_3_0_relset_2(sK0,sK1,sK2))
| spl19_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f169,plain,
~ spl19_1,
inference(avatar_split_clause,[],[f92,f166]) ).
fof(f170,plain,
( ! [X0] :
( k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) != X0
| r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),X0),a_3_0_relset_2(sK0,sK1,sK2))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),X0),X0) )
| spl19_1 ),
inference(superposition,[],[f168,f111]) ).
fof(f174,definition,
( spl19_2
<=> v1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f176,plain,
( v1_relat_1(sK2)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
spl19_2,
inference(avatar_split_clause,[],[f91,f174]) ).
fof(f184,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),sK2)
| ~ r2_hidden(X2,X1) )
| ~ spl19_2 ),
inference(resolution,[],[f176,f156]) ).
fof(f190,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X2,X1) )
| ~ spl19_2 ),
inference(forward_demodulation,[],[f184,f95]) ).
fof(f196,definition,
( spl19_3
<=> m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f198,plain,
( m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f199,plain,
spl19_3,
inference(avatar_split_clause,[],[f90,f196]) ).
fof(f200,plain,
( k5_setfam_1(sK0,sK1) = k3_tarski(sK1)
| ~ spl19_3 ),
inference(resolution,[],[f198,f137]) ).
fof(f204,plain,
( ! [X0,X1] :
( r2_hidden(k9_relat_1(X0,X1),a_3_0_relset_2(sK0,sK1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| ~ r2_hidden(X1,sK1)
| ~ v1_relat_1(X0) )
| ~ spl19_3 ),
inference(resolution,[],[f198,f162]) ).
fof(f206,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sK0))
| ~ r2_hidden(X0,sK1) )
| ~ spl19_3 ),
inference(resolution,[],[f198,f145]) ).
fof(f212,plain,
( ! [X0,X1] :
( r2_hidden(k9_relat_1(X0,X1),a_3_0_relset_2(sK0,sK1,X0))
| ~ r2_hidden(X1,sK1)
| ~ v1_relat_1(X0) )
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f204,f206]) ).
fof(f214,definition,
( spl19_4
<=> k5_setfam_1(sK0,sK1) = k3_tarski(sK1) ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f216,plain,
( k5_setfam_1(sK0,sK1) = k3_tarski(sK1)
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,plain,
( spl19_4
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f200,f196,f214]) ).
fof(f221,definition,
( spl19_5
<=> ! [X0,X1] :
( r2_hidden(k9_relat_1(X0,X1),a_3_0_relset_2(sK0,sK1,X0))
| ~ r2_hidden(X1,sK1)
| ~ v1_relat_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f222,plain,
( ! [X0,X1] :
( r2_hidden(k9_relat_1(X0,X1),a_3_0_relset_2(sK0,sK1,X0))
| ~ r2_hidden(X1,sK1)
| ~ v1_relat_1(X0) )
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f223,plain,
( spl19_5
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f212,f196,f221]) ).
fof(f224,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| r2_hidden(sK11(k9_relat_1(X1,X0),sK0,sK1,X1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ v1_relat_1(X1) )
| ~ spl19_5 ),
inference(resolution,[],[f222,f124]) ).
fof(f225,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) = k9_relat_1(X1,sK11(k9_relat_1(X1,X0),sK0,sK1,X1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ v1_relat_1(X1) )
| ~ spl19_5 ),
inference(resolution,[],[f222,f125]) ).
fof(f230,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X1)) = X2
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X1),X2),k9_relat_1(X1,X0))
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X1),X2),X2) )
| ~ spl19_5 ),
inference(resolution,[],[f222,f113]) ).
fof(f249,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) = k9_relat_1(X1,sK11(k9_relat_1(X1,X0),sK0,sK1,X1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) )
| ~ spl19_5 ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f250,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| r2_hidden(sK11(k9_relat_1(X1,X0),sK0,sK1,X1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) )
| ~ spl19_5 ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f256,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) = k9_relat_1(X1,sK11(k9_relat_1(X1,X0),sK0,sK1,X1)) )
| ~ spl19_3
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f249,f198]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| r2_hidden(sK11(k9_relat_1(X1,X0),sK0,sK1,X1),sK1) )
| ~ spl19_3
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f250,f198]) ).
fof(f310,definition,
( spl19_8
<=> ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl19_8])],[avatar_definition]) ).
fof(f311,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X2,X1) )
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( spl19_8
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f190,f174,f310]) ).
fof(f346,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(X1,X2) )
| ~ spl19_8 ),
inference(superposition,[],[f311,f95]) ).
fof(f363,definition,
( spl19_11
<=> ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| r2_hidden(sK11(k9_relat_1(X1,X0),sK0,sK1,X1),sK1) ) ),
introduced(definition,[new_symbols(definition,[spl19_11])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0,X1] :
( r2_hidden(sK11(k9_relat_1(X1,X0),sK0,sK1,X1),sK1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,sK1) )
| ~ spl19_11 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( spl19_11
| ~ spl19_3
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f257,f221,f196,f363]) ).
fof(f376,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1)
| r2_hidden(X2,k3_tarski(sK1))
| ~ r2_hidden(X2,sK11(k9_relat_1(X0,X1),sK0,sK1,X0)) )
| ~ spl19_11 ),
inference(resolution,[],[f364,f159]) ).
fof(f395,definition,
( spl19_12
<=> ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) = k9_relat_1(X1,sK11(k9_relat_1(X1,X0),sK0,sK1,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl19_12])],[avatar_definition]) ).
fof(f396,plain,
( ! [X0,X1] :
( k9_relat_1(X1,X0) = k9_relat_1(X1,sK11(k9_relat_1(X1,X0),sK0,sK1,X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,sK1) )
| ~ spl19_12 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f397,plain,
( spl19_12
| ~ spl19_3
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f256,f221,f196,f395]) ).
fof(f411,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2),X2),k1_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2))),X0)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_12 ),
inference(superposition,[],[f157,f396]) ).
fof(f412,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(X0,X1))
| r2_hidden(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2),sK11(k9_relat_1(X0,X1),sK0,sK1,X0))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_12 ),
inference(superposition,[],[f158,f396]) ).
fof(f421,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(X0,X1))
| r2_hidden(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2),sK11(k9_relat_1(X0,X1),sK0,sK1,X0))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_12 ),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f422,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2),X2),k1_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2))),X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_12 ),
inference(duplicate_literal_removal,[],[f411]) ).
fof(f437,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2)),k2_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2),X2)),X0)
| ~ r2_hidden(X2,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_12 ),
inference(forward_demodulation,[],[f422,f95]) ).
fof(f445,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2)),k2_tarski(X2,sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2))),X0)
| ~ r2_hidden(X2,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_12 ),
inference(forward_demodulation,[],[f437,f95]) ).
fof(f1509,definition,
( spl19_51
<=> ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1)
| r2_hidden(X2,k3_tarski(sK1))
| ~ r2_hidden(X2,sK11(k9_relat_1(X0,X1),sK0,sK1,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl19_51])],[avatar_definition]) ).
fof(f1510,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK11(k9_relat_1(X0,X1),sK0,sK1,X0))
| ~ r2_hidden(X1,sK1)
| r2_hidden(X2,k3_tarski(sK1))
| ~ v1_relat_1(X0) )
| ~ spl19_51 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1511,plain,
( spl19_51
| ~ spl19_11 ),
inference(avatar_split_clause,[],[f376,f363,f1509]) ).
fof(f2041,definition,
( spl19_67
<=> ! [X0] :
( k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) != X0
| r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),X0),a_3_0_relset_2(sK0,sK1,sK2))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_67])],[avatar_definition]) ).
fof(f2042,plain,
( ! [X0] :
( k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) != X0
| r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),X0),a_3_0_relset_2(sK0,sK1,sK2))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),X0),X0) )
| ~ spl19_67 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2043,plain,
( spl19_67
| spl19_1 ),
inference(avatar_split_clause,[],[f170,f166,f2041]) ).
fof(f2044,plain,
( ! [X0] :
( k9_relat_1(sK2,k3_tarski(sK1)) != X0
| r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),X0),a_3_0_relset_2(sK0,sK1,sK2))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),X0),X0) )
| ~ spl19_4
| ~ spl19_67 ),
inference(forward_demodulation,[],[f2042,f216]) ).
fof(f2121,definition,
( spl19_72
<=> ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl19_72])],[avatar_definition]) ).
fof(f2122,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(X1,X2) )
| ~ spl19_72 ),
inference(avatar_component_clause,[],[f2121]) ).
fof(f2123,plain,
( spl19_72
| ~ spl19_8 ),
inference(avatar_split_clause,[],[f346,f310,f2121]) ).
fof(f2251,definition,
( spl19_75
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(X0,X1))
| r2_hidden(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2),sK11(k9_relat_1(X0,X1),sK0,sK1,X0))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl19_75])],[avatar_definition]) ).
fof(f2252,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2),sK11(k9_relat_1(X0,X1),sK0,sK1,X0))
| ~ r2_hidden(X2,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_75 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2253,plain,
( spl19_75
| ~ spl19_12 ),
inference(avatar_split_clause,[],[f421,f395,f2251]) ).
fof(f2254,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(X2,sK1)
| r2_hidden(sK5(X1,sK11(k9_relat_1(X1,X2),sK0,sK1,X1),X0),k3_tarski(sK1))
| ~ v1_relat_1(X1) )
| ~ spl19_51
| ~ spl19_75 ),
inference(resolution,[],[f2252,f1510]) ).
fof(f2287,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X2,sK1)
| r2_hidden(sK5(X1,sK11(k9_relat_1(X1,X2),sK0,sK1,X1),X0),k3_tarski(sK1)) )
| ~ spl19_51
| ~ spl19_75 ),
inference(duplicate_literal_removal,[],[f2254]) ).
fof(f3179,definition,
( spl19_106
<=> r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,k3_tarski(sK1))) ),
introduced(definition,[new_symbols(definition,[spl19_106])],[avatar_definition]) ).
fof(f3180,plain,
( r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,k3_tarski(sK1)))
| ~ spl19_106 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f3181,plain,
( ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,k3_tarski(sK1)))
| spl19_106 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f3796,definition,
( spl19_125
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ v1_relat_1(X1)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X1)) = X2
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X1),X2),k9_relat_1(X1,X0))
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X1),X2),X2) ) ),
introduced(definition,[new_symbols(definition,[spl19_125])],[avatar_definition]) ).
fof(f3797,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X1),X2),k9_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X1)) = X2
| ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X1),X2),X2) )
| ~ spl19_125 ),
inference(avatar_component_clause,[],[f3796]) ).
fof(f3798,plain,
( spl19_125
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f230,f221,f3796]) ).
fof(f3801,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,sK7(a_3_0_relset_2(sK0,sK1,X0),X1)),k1_tarski(X3)),X0)
| ~ r2_hidden(X3,X2)
| ~ v1_relat_1(X0) )
| ~ spl19_125 ),
inference(resolution,[],[f3797,f156]) ).
fof(f3821,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,sK7(a_3_0_relset_2(sK0,sK1,X0),X1)),k1_tarski(X3)),X0)
| ~ r2_hidden(X3,X2) )
| ~ spl19_125 ),
inference(duplicate_literal_removal,[],[f3801]) ).
fof(f3830,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X3),k2_tarski(X3,sK7(a_3_0_relset_2(sK0,sK1,X0),X1))),X0)
| ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(X3,X2) )
| ~ spl19_125 ),
inference(forward_demodulation,[],[f3821,f95]) ).
fof(f3836,definition,
( spl19_126
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X3),k2_tarski(X3,sK7(a_3_0_relset_2(sK0,sK1,X0),X1))),X0)
| ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl19_126])],[avatar_definition]) ).
fof(f3837,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X3),k2_tarski(X3,sK7(a_3_0_relset_2(sK0,sK1,X0),X1))),X0)
| ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(X3,X2) )
| ~ spl19_126 ),
inference(avatar_component_clause,[],[f3836]) ).
fof(f3838,plain,
( spl19_126
| ~ spl19_125 ),
inference(avatar_split_clause,[],[f3830,f3796,f3836]) ).
fof(f3845,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X2)),X0)
| ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X3,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(X2,X3) )
| ~ spl19_126 ),
inference(superposition,[],[f3837,f95]) ).
fof(f3885,definition,
( spl19_128
<=> ! [X0] :
( k9_relat_1(sK2,k3_tarski(sK1)) != X0
| r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),X0),a_3_0_relset_2(sK0,sK1,sK2))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_128])],[avatar_definition]) ).
fof(f3886,plain,
( ! [X0] :
( k9_relat_1(sK2,k3_tarski(sK1)) != X0
| r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),X0),a_3_0_relset_2(sK0,sK1,sK2))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),X0),X0) )
| ~ spl19_128 ),
inference(avatar_component_clause,[],[f3885]) ).
fof(f3887,plain,
( spl19_128
| ~ spl19_4
| ~ spl19_67 ),
inference(avatar_split_clause,[],[f2044,f2041,f214,f3885]) ).
fof(f3894,plain,
( r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),a_3_0_relset_2(sK0,sK1,sK2))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,k3_tarski(sK1)))
| ~ spl19_128 ),
inference(equality_resolution,[],[f3886]) ).
fof(f3895,plain,
( r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),a_3_0_relset_2(sK0,sK1,sK2))
| spl19_106
| ~ spl19_128 ),
inference(forward_subsumption_resolution,[],[f3894,f3181]) ).
fof(f3903,definition,
( spl19_129
<=> r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),a_3_0_relset_2(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl19_129])],[avatar_definition]) ).
fof(f3905,plain,
( r2_hidden(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),a_3_0_relset_2(sK0,sK1,sK2))
| ~ spl19_129 ),
inference(avatar_component_clause,[],[f3903]) ).
fof(f3906,plain,
( spl19_129
| spl19_106
| ~ spl19_128 ),
inference(avatar_split_clause,[],[f3895,f3885,f3179,f3903]) ).
fof(f3910,plain,
( r2_hidden(sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ v1_relat_1(sK2)
| ~ spl19_129 ),
inference(resolution,[],[f3905,f124]) ).
fof(f3939,plain,
( r2_hidden(sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2),sK1)
| ~ v1_relat_1(sK2)
| ~ spl19_3
| ~ spl19_129 ),
inference(forward_subsumption_resolution,[],[f3910,f198]) ).
fof(f3946,plain,
( r2_hidden(sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2),sK1)
| ~ spl19_2
| ~ spl19_3
| ~ spl19_129 ),
inference(forward_subsumption_resolution,[],[f3939,f176]) ).
fof(f4001,definition,
( spl19_132
<=> r2_hidden(sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl19_132])],[avatar_definition]) ).
fof(f4003,plain,
( r2_hidden(sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2),sK1)
| ~ spl19_132 ),
inference(avatar_component_clause,[],[f4001]) ).
fof(f4004,plain,
( spl19_132
| ~ spl19_2
| ~ spl19_3
| ~ spl19_129 ),
inference(avatar_split_clause,[],[f3946,f3903,f196,f174,f4001]) ).
fof(f4037,plain,
( sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))) = k9_relat_1(sK2,sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ v1_relat_1(sK2)
| ~ spl19_129 ),
inference(resolution,[],[f3905,f125]) ).
fof(f4064,plain,
( sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))) = k9_relat_1(sK2,sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2))
| ~ v1_relat_1(sK2)
| ~ spl19_3
| ~ spl19_129 ),
inference(forward_subsumption_resolution,[],[f4037,f198]) ).
fof(f4068,plain,
( sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))) = k9_relat_1(sK2,sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2))
| ~ spl19_2
| ~ spl19_3
| ~ spl19_129 ),
inference(forward_subsumption_resolution,[],[f4064,f176]) ).
fof(f4130,definition,
( spl19_134
<=> sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))) = k9_relat_1(sK2,sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl19_134])],[avatar_definition]) ).
fof(f4132,plain,
( sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))) = k9_relat_1(sK2,sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2))
| ~ spl19_134 ),
inference(avatar_component_clause,[],[f4130]) ).
fof(f4133,plain,
( spl19_134
| ~ spl19_2
| ~ spl19_3
| ~ spl19_129 ),
inference(avatar_split_clause,[],[f4068,f3903,f196,f174,f4130]) ).
fof(f4191,plain,
( r2_hidden(k2_tarski(k2_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),k1_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))))),sK2)
| ~ v1_relat_1(sK2)
| ~ spl19_106 ),
inference(resolution,[],[f3180,f157]) ).
fof(f4219,plain,
( r2_hidden(k2_tarski(k2_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),k1_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))))),sK2)
| ~ spl19_2
| ~ spl19_106 ),
inference(forward_subsumption_resolution,[],[f4191,f176]) ).
fof(f4224,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),k2_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),sK2)
| ~ spl19_2
| ~ spl19_106 ),
inference(forward_demodulation,[],[f4219,f95]) ).
fof(f4227,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),k2_tarski(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))))),sK2)
| ~ spl19_2
| ~ spl19_106 ),
inference(forward_demodulation,[],[f4224,f95]) ).
fof(f4229,definition,
( spl19_135
<=> r2_hidden(k2_tarski(k1_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),k2_tarski(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))))),sK2) ),
introduced(definition,[new_symbols(definition,[spl19_135])],[avatar_definition]) ).
fof(f4231,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),k2_tarski(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))))),sK2)
| ~ spl19_135 ),
inference(avatar_component_clause,[],[f4229]) ).
fof(f4232,plain,
( spl19_135
| ~ spl19_2
| ~ spl19_106 ),
inference(avatar_split_clause,[],[f4227,f3179,f174,f4229]) ).
fof(f4237,definition,
( spl19_136
<=> k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) = k9_relat_1(sK2,k3_tarski(sK1)) ),
introduced(definition,[new_symbols(definition,[spl19_136])],[avatar_definition]) ).
fof(f4238,plain,
( k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) != k9_relat_1(sK2,k3_tarski(sK1))
| spl19_136 ),
inference(avatar_component_clause,[],[f4237]) ).
fof(f4239,plain,
( k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) = k9_relat_1(sK2,k3_tarski(sK1))
| ~ spl19_136 ),
inference(avatar_component_clause,[],[f4237]) ).
fof(f4428,plain,
( ! [X0] :
( r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,X0))
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0) )
| ~ spl19_72
| ~ spl19_135 ),
inference(resolution,[],[f4231,f2122]) ).
fof(f4565,plain,
( k9_relat_1(sK2,k5_setfam_1(sK0,sK1)) != k9_relat_1(sK2,k3_tarski(sK1))
| spl19_1
| ~ spl19_136 ),
inference(superposition,[],[f168,f4239]) ).
fof(f4604,plain,
( k9_relat_1(sK2,k3_tarski(sK1)) != k9_relat_1(sK2,k3_tarski(sK1))
| spl19_1
| ~ spl19_4
| ~ spl19_136 ),
inference(forward_demodulation,[],[f4565,f216]) ).
fof(f4605,plain,
( $false
| spl19_1
| ~ spl19_4
| ~ spl19_136 ),
inference(trivial_inequality_removal,[],[f4604]) ).
fof(f4606,plain,
( spl19_1
| ~ spl19_4
| ~ spl19_136 ),
inference(avatar_contradiction_clause,[],[f4605]) ).
fof(f4680,plain,
( k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) = k9_relat_1(sK2,k3_tarski(sK1))
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))
| spl19_106 ),
inference(resolution,[],[f3181,f112]) ).
fof(f4694,plain,
( r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))
| spl19_106
| spl19_136 ),
inference(forward_subsumption_resolution,[],[f4680,f4238]) ).
fof(f4747,definition,
( spl19_140
<=> ! [X0] :
( ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl19_140])],[avatar_definition]) ).
fof(f4748,plain,
( ! [X0] :
( ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,X0))
| ~ r2_hidden(X0,sK1) )
| ~ spl19_140 ),
inference(avatar_component_clause,[],[f4747]) ).
fof(f4802,plain,
( ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))
| ~ r2_hidden(sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2),sK1)
| ~ spl19_134
| ~ spl19_140 ),
inference(superposition,[],[f4748,f4132]) ).
fof(f4816,plain,
( ~ r2_hidden(sK11(sK8(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),sK0,sK1,sK2),sK1)
| spl19_106
| ~ spl19_134
| spl19_136
| ~ spl19_140 ),
inference(forward_subsumption_resolution,[],[f4802,f4694]) ).
fof(f4825,plain,
( $false
| spl19_106
| ~ spl19_132
| ~ spl19_134
| spl19_136
| ~ spl19_140 ),
inference(forward_subsumption_resolution,[],[f4816,f4003]) ).
fof(f4826,plain,
( spl19_106
| ~ spl19_132
| ~ spl19_134
| spl19_136
| ~ spl19_140 ),
inference(avatar_contradiction_clause,[],[f4825]) ).
fof(f5085,plain,
( r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),k3_tarski(sK1))
| ~ v1_relat_1(sK2)
| ~ spl19_106 ),
inference(resolution,[],[f3180,f158]) ).
fof(f5123,plain,
( r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),k3_tarski(sK1))
| ~ spl19_2
| ~ spl19_106 ),
inference(forward_subsumption_resolution,[],[f5085,f176]) ).
fof(f5125,definition,
( spl19_146
<=> r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),k3_tarski(sK1)) ),
introduced(definition,[new_symbols(definition,[spl19_146])],[avatar_definition]) ).
fof(f5127,plain,
( r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),k3_tarski(sK1))
| ~ spl19_146 ),
inference(avatar_component_clause,[],[f5125]) ).
fof(f5128,plain,
( spl19_146
| ~ spl19_2
| ~ spl19_106 ),
inference(avatar_split_clause,[],[f5123,f3179,f174,f5125]) ).
fof(f5130,plain,
( r2_hidden(sK9(sK1,sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),sK1)
| ~ spl19_146 ),
inference(resolution,[],[f5127,f161]) ).
fof(f5131,plain,
( r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),sK9(sK1,sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))))
| ~ spl19_146 ),
inference(resolution,[],[f5127,f160]) ).
fof(f5305,definition,
( spl19_151
<=> r2_hidden(sK9(sK1,sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),sK1) ),
introduced(definition,[new_symbols(definition,[spl19_151])],[avatar_definition]) ).
fof(f5307,plain,
( r2_hidden(sK9(sK1,sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),sK1)
| ~ spl19_151 ),
inference(avatar_component_clause,[],[f5305]) ).
fof(f5308,plain,
( spl19_151
| ~ spl19_146 ),
inference(avatar_split_clause,[],[f5130,f5125,f5305]) ).
fof(f5415,definition,
( spl19_154
<=> r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),sK9(sK1,sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))))) ),
introduced(definition,[new_symbols(definition,[spl19_154])],[avatar_definition]) ).
fof(f5417,plain,
( r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),sK9(sK1,sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))))
| ~ spl19_154 ),
inference(avatar_component_clause,[],[f5415]) ).
fof(f5418,plain,
( spl19_154
| ~ spl19_146 ),
inference(avatar_split_clause,[],[f5131,f5125,f5415]) ).
fof(f6558,definition,
( spl19_184
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X2,sK1)
| r2_hidden(sK5(X1,sK11(k9_relat_1(X1,X2),sK0,sK1,X1),X0),k3_tarski(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl19_184])],[avatar_definition]) ).
fof(f6559,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK5(X1,sK11(k9_relat_1(X1,X2),sK0,sK1,X1),X0),k3_tarski(sK1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) )
| ~ spl19_184 ),
inference(avatar_component_clause,[],[f6558]) ).
fof(f6560,plain,
( spl19_184
| ~ spl19_51
| ~ spl19_75 ),
inference(avatar_split_clause,[],[f2287,f2251,f1509,f6558]) ).
fof(f7192,definition,
( spl19_201
<=> ! [X2,X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2)),k2_tarski(X2,sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2))),X0)
| ~ r2_hidden(X2,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl19_201])],[avatar_definition]) ).
fof(f7193,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2)),k2_tarski(X2,sK5(X0,sK11(k9_relat_1(X0,X1),sK0,sK1,X0),X2))),X0)
| ~ r2_hidden(X2,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,sK1) )
| ~ spl19_201 ),
inference(avatar_component_clause,[],[f7192]) ).
fof(f7194,plain,
( spl19_201
| ~ spl19_12 ),
inference(avatar_split_clause,[],[f445,f395,f7192]) ).
fof(f7225,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ v1_relat_1(sK2)
| ~ r2_hidden(X1,sK1)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(sK5(sK2,sK11(k9_relat_1(sK2,X1),sK0,sK1,sK2),X0),X2) )
| ~ spl19_72
| ~ spl19_201 ),
inference(resolution,[],[f7193,f2122]) ).
fof(f7256,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X1,sK1)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(sK5(sK2,sK11(k9_relat_1(sK2,X1),sK0,sK1,sK2),X0),X2) )
| ~ spl19_2
| ~ spl19_72
| ~ spl19_201 ),
inference(forward_subsumption_resolution,[],[f7225,f176]) ).
fof(f7264,definition,
( spl19_202
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X1,sK1)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(sK5(sK2,sK11(k9_relat_1(sK2,X1),sK0,sK1,sK2),X0),X2) ) ),
introduced(definition,[new_symbols(definition,[spl19_202])],[avatar_definition]) ).
fof(f7265,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(sK5(sK2,sK11(k9_relat_1(sK2,X1),sK0,sK1,sK2),X0),X2)
| ~ r2_hidden(X1,sK1)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(X0,k9_relat_1(sK2,X1)) )
| ~ spl19_202 ),
inference(avatar_component_clause,[],[f7264]) ).
fof(f7266,plain,
( spl19_202
| ~ spl19_2
| ~ spl19_72
| ~ spl19_201 ),
inference(avatar_split_clause,[],[f7256,f7192,f2121,f174,f7264]) ).
fof(f7269,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| r2_hidden(X1,k9_relat_1(sK2,k3_tarski(sK1)))
| ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| ~ v1_relat_1(sK2)
| ~ r2_hidden(X0,sK1)
| ~ r2_hidden(X1,k9_relat_1(sK2,X0)) )
| ~ spl19_184
| ~ spl19_202 ),
inference(resolution,[],[f7265,f6559]) ).
fof(f7292,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| r2_hidden(X1,k9_relat_1(sK2,k3_tarski(sK1)))
| ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| ~ v1_relat_1(sK2) )
| ~ spl19_184
| ~ spl19_202 ),
inference(duplicate_literal_removal,[],[f7269]) ).
fof(f7305,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| r2_hidden(X1,k9_relat_1(sK2,k3_tarski(sK1)))
| ~ r2_hidden(X1,k9_relat_1(sK2,X0)) )
| ~ spl19_2
| ~ spl19_184
| ~ spl19_202 ),
inference(forward_subsumption_resolution,[],[f7292,f176]) ).
fof(f7484,definition,
( spl19_204
<=> ! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| r2_hidden(X1,k9_relat_1(sK2,k3_tarski(sK1)))
| ~ r2_hidden(X1,k9_relat_1(sK2,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl19_204])],[avatar_definition]) ).
fof(f7485,plain,
( ! [X0,X1] :
( r2_hidden(X1,k9_relat_1(sK2,k3_tarski(sK1)))
| ~ r2_hidden(X0,sK1)
| ~ r2_hidden(X1,k9_relat_1(sK2,X0)) )
| ~ spl19_204 ),
inference(avatar_component_clause,[],[f7484]) ).
fof(f7486,plain,
( spl19_204
| ~ spl19_2
| ~ spl19_184
| ~ spl19_202 ),
inference(avatar_split_clause,[],[f7305,f7264,f6558,f174,f7484]) ).
fof(f7992,definition,
( spl19_208
<=> ! [X0] :
( r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,X0))
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_208])],[avatar_definition]) ).
fof(f7993,plain,
( ! [X0] :
( ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0)
| r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,X0)) )
| ~ spl19_208 ),
inference(avatar_component_clause,[],[f7992]) ).
fof(f7994,plain,
( spl19_208
| ~ spl19_72
| ~ spl19_135 ),
inference(avatar_split_clause,[],[f4428,f4229,f2121,f7992]) ).
fof(f8004,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,k3_tarski(X0)))
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X1)
| ~ r2_hidden(X1,X0) )
| ~ spl19_208 ),
inference(resolution,[],[f7993,f159]) ).
fof(f8130,definition,
( spl19_211
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X2)),X0)
| ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X3,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl19_211])],[avatar_definition]) ).
fof(f8131,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X2)),X0)
| ~ v1_relat_1(X0)
| k3_tarski(a_3_0_relset_2(sK0,sK1,X0)) = X1
| ~ r2_hidden(X3,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,X0),X1),X1)
| ~ r2_hidden(X2,X3) )
| ~ spl19_211 ),
inference(avatar_component_clause,[],[f8130]) ).
fof(f8132,plain,
( spl19_211
| ~ spl19_126 ),
inference(avatar_split_clause,[],[f3845,f3836,f8130]) ).
fof(f8133,plain,
( ! [X0] :
( ~ v1_relat_1(sK2)
| k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) = k9_relat_1(sK2,k3_tarski(sK1))
| ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,k3_tarski(sK1)))
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0) )
| ~ spl19_135
| ~ spl19_211 ),
inference(resolution,[],[f8131,f4231]) ).
fof(f8148,plain,
( ! [X0] :
( ~ v1_relat_1(sK2)
| k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) = k9_relat_1(sK2,k3_tarski(sK1))
| ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0) )
| ~ spl19_135
| ~ spl19_208
| ~ spl19_211 ),
inference(forward_subsumption_resolution,[],[f8133,f8004]) ).
fof(f8149,plain,
( ! [X0] :
( k3_tarski(a_3_0_relset_2(sK0,sK1,sK2)) = k9_relat_1(sK2,k3_tarski(sK1))
| ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0) )
| ~ spl19_2
| ~ spl19_135
| ~ spl19_208
| ~ spl19_211 ),
inference(forward_subsumption_resolution,[],[f8148,f176]) ).
fof(f8150,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0) )
| ~ spl19_2
| ~ spl19_135
| spl19_136
| ~ spl19_208
| ~ spl19_211 ),
inference(forward_subsumption_resolution,[],[f8149,f4238]) ).
fof(f8152,definition,
( spl19_212
<=> ! [X0] :
( ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_212])],[avatar_definition]) ).
fof(f8153,plain,
( ! [X0] :
( ~ r2_hidden(sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1)))),X0)
| ~ r2_hidden(X0,sK1) )
| ~ spl19_212 ),
inference(avatar_component_clause,[],[f8152]) ).
fof(f8154,plain,
( spl19_212
| ~ spl19_2
| ~ spl19_135
| spl19_136
| ~ spl19_208
| ~ spl19_211 ),
inference(avatar_split_clause,[],[f8150,f8130,f7992,f4237,f4229,f174,f8152]) ).
fof(f8158,plain,
( ~ r2_hidden(sK9(sK1,sK5(sK2,k3_tarski(sK1),sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))))),sK1)
| ~ spl19_154
| ~ spl19_212 ),
inference(resolution,[],[f8153,f5417]) ).
fof(f8178,plain,
( $false
| ~ spl19_151
| ~ spl19_154
| ~ spl19_212 ),
inference(forward_subsumption_resolution,[],[f8158,f5307]) ).
fof(f8179,plain,
( ~ spl19_151
| ~ spl19_154
| ~ spl19_212 ),
inference(avatar_contradiction_clause,[],[f8178]) ).
fof(f8269,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| ~ r2_hidden(sK7(a_3_0_relset_2(sK0,sK1,sK2),k9_relat_1(sK2,k3_tarski(sK1))),k9_relat_1(sK2,X0)) )
| spl19_106
| ~ spl19_204 ),
inference(resolution,[],[f3181,f7485]) ).
fof(f8739,plain,
( spl19_140
| spl19_106
| ~ spl19_204 ),
inference(avatar_split_clause,[],[f8269,f7484,f3179,f4747]) ).
cnf(s1,plain,
~ spl19_1,
inference(sat_conversion,[],[f169]) ).
cnf(s2,plain,
spl19_2,
inference(sat_conversion,[],[f177]) ).
cnf(s3,plain,
spl19_3,
inference(sat_conversion,[],[f199]) ).
cnf(s4,plain,
( ~ spl19_3
| spl19_4 ),
inference(sat_conversion,[],[f217]) ).
cnf(s5,plain,
( ~ spl19_3
| spl19_5 ),
inference(sat_conversion,[],[f223]) ).
cnf(s8,plain,
( ~ spl19_2
| spl19_8 ),
inference(sat_conversion,[],[f312]) ).
cnf(s11,plain,
( ~ spl19_3
| ~ spl19_5
| spl19_11 ),
inference(sat_conversion,[],[f365]) ).
cnf(s12,plain,
( ~ spl19_3
| ~ spl19_5
| spl19_12 ),
inference(sat_conversion,[],[f397]) ).
cnf(s51,plain,
( ~ spl19_11
| spl19_51 ),
inference(sat_conversion,[],[f1511]) ).
cnf(s67,plain,
( spl19_1
| spl19_67 ),
inference(sat_conversion,[],[f2043]) ).
cnf(s72,plain,
( ~ spl19_8
| spl19_72 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s75,plain,
( ~ spl19_12
| spl19_75 ),
inference(sat_conversion,[],[f2253]) ).
cnf(s124,plain,
( ~ spl19_5
| spl19_125 ),
inference(sat_conversion,[],[f3798]) ).
cnf(s125,plain,
( ~ spl19_125
| spl19_126 ),
inference(sat_conversion,[],[f3838]) ).
cnf(s127,plain,
( ~ spl19_4
| ~ spl19_67
| spl19_128 ),
inference(sat_conversion,[],[f3887]) ).
cnf(s128,plain,
( spl19_106
| ~ spl19_128
| spl19_129 ),
inference(sat_conversion,[],[f3906]) ).
cnf(s131,plain,
( ~ spl19_2
| ~ spl19_3
| ~ spl19_129
| spl19_132 ),
inference(sat_conversion,[],[f4004]) ).
cnf(s134,plain,
( ~ spl19_2
| ~ spl19_3
| ~ spl19_129
| spl19_134 ),
inference(sat_conversion,[],[f4133]) ).
cnf(s135,plain,
( ~ spl19_2
| ~ spl19_106
| spl19_135 ),
inference(sat_conversion,[],[f4232]) ).
cnf(s142,plain,
( spl19_1
| ~ spl19_4
| ~ spl19_136 ),
inference(sat_conversion,[],[f4606]) ).
cnf(s147,plain,
( spl19_106
| ~ spl19_132
| ~ spl19_134
| spl19_136
| ~ spl19_140 ),
inference(sat_conversion,[],[f4826]) ).
cnf(s153,plain,
( ~ spl19_2
| ~ spl19_106
| spl19_146 ),
inference(sat_conversion,[],[f5128]) ).
cnf(s159,plain,
( ~ spl19_146
| spl19_151 ),
inference(sat_conversion,[],[f5308]) ).
cnf(s163,plain,
( ~ spl19_146
| spl19_154 ),
inference(sat_conversion,[],[f5418]) ).
cnf(s193,plain,
( ~ spl19_51
| ~ spl19_75
| spl19_184 ),
inference(sat_conversion,[],[f6560]) ).
cnf(s210,plain,
( ~ spl19_12
| spl19_201 ),
inference(sat_conversion,[],[f7194]) ).
cnf(s211,plain,
( ~ spl19_2
| ~ spl19_72
| ~ spl19_201
| spl19_202 ),
inference(sat_conversion,[],[f7266]) ).
cnf(s213,plain,
( ~ spl19_2
| ~ spl19_184
| ~ spl19_202
| spl19_204 ),
inference(sat_conversion,[],[f7486]) ).
cnf(s217,plain,
( ~ spl19_72
| ~ spl19_135
| spl19_208 ),
inference(sat_conversion,[],[f7994]) ).
cnf(s220,plain,
( ~ spl19_126
| spl19_211 ),
inference(sat_conversion,[],[f8132]) ).
cnf(s221,plain,
( ~ spl19_2
| ~ spl19_135
| spl19_136
| ~ spl19_208
| ~ spl19_211
| spl19_212 ),
inference(sat_conversion,[],[f8154]) ).
cnf(s222,plain,
( ~ spl19_151
| ~ spl19_154
| ~ spl19_212 ),
inference(sat_conversion,[],[f8179]) ).
cnf(s231,plain,
( spl19_106
| spl19_140
| ~ spl19_204 ),
inference(sat_conversion,[],[f8739]) ).
cnf(s240,plain,
spl19_5,
inference(rat,[],[s5,s3]) ).
cnf(s241,plain,
spl19_4,
inference(rat,[],[s4,s3]) ).
cnf(s251,plain,
spl19_125,
inference(rat,[],[s124,s240]) ).
cnf(s256,plain,
spl19_12,
inference(rat,[],[s12,s3,s240]) ).
cnf(s257,plain,
spl19_11,
inference(rat,[],[s11,s3,s240]) ).
cnf(s266,plain,
spl19_126,
inference(rat,[],[s125,s251]) ).
cnf(s274,plain,
spl19_201,
inference(rat,[],[s210,s256]) ).
cnf(s276,plain,
spl19_75,
inference(rat,[],[s75,s256]) ).
cnf(s281,plain,
spl19_51,
inference(rat,[],[s51,s257]) ).
cnf(s295,plain,
spl19_211,
inference(rat,[],[s220,s266]) ).
cnf(s312,plain,
spl19_184,
inference(rat,[],[s193,s276,s281]) ).
cnf(s345,plain,
spl19_8,
inference(rat,[],[s8,s2]) ).
cnf(s357,plain,
spl19_72,
inference(rat,[],[s72,s345]) ).
cnf(s369,plain,
spl19_202,
inference(rat,[],[s211,s2,s274,s357]) ).
cnf(s377,plain,
spl19_204,
inference(rat,[],[s213,s2,s312,s369]) ).
cnf(s383,plain,
~ spl19_136,
inference(rat,[],[s142,s241,s1]) ).
cnf(s386,plain,
spl19_67,
inference(rat,[],[s67,s1]) ).
cnf(s388,plain,
spl19_128,
inference(rat,[],[s127,s241,s386]) ).
cnf(s389,plain,
spl19_106,
inference(rat,[],[s147,s131,s134,s128,s231,s383,s3,s2,s388,s377]) ).
cnf(s391,plain,
spl19_146,
inference(rat,[],[s153,s2,s389]) ).
cnf(s393,plain,
spl19_135,
inference(rat,[],[s135,s2,s389]) ).
cnf(s396,plain,
spl19_154,
inference(rat,[],[s163,s391]) ).
cnf(s397,plain,
spl19_151,
inference(rat,[],[s159,s391]) ).
cnf(s399,plain,
spl19_208,
inference(rat,[],[s217,s357,s393]) ).
cnf(s407,plain,
~ spl19_212,
inference(rat,[],[s222,s396,s397]) ).
cnf(s410,plain,
$false,
inference(rat,[],[s221,s393,s295,s383,s2,s407,s399]) ).
fof(f8740,plain,
$false,
inference(avatar_sat_refutation,[],[s410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU421+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n013.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 05:17:51 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 19.35/3.77 % (839607)Detected formulas, will run a generic FOF schedule.
% 19.35/3.77 % (839617)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=284898665:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 19.35/3.77 % (839616)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2449670660:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 19.35/3.77 % (839617)Instruction limit reached!
% 19.35/3.77 % (839617)------------------------------
% 19.35/3.77 % (839617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.77 % (839617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.77 % (839617)CaDiCaL version: 2.1.3
% 19.35/3.77 % (839617)Termination reason: Instruction limit
% 19.35/3.77 % (839617)Termination phase: Saturation
% 19.35/3.77 % (839617)Time elapsed: 0.077 s
% 19.35/3.77 % (839617)Peak memory usage: 90 MB
% 19.35/3.77 % (839617)Instructions burned: 140 (million)
% 19.35/3.77 % (839615)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3329749736:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 19.35/3.77 % (839612)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=4080059230:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 19.35/3.77 % (839613)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=413716484:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 19.35/3.77 % (839614)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=519163048:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 19.35/3.77 % (839615)Refutation not found, incomplete strategy
% 19.35/3.77 % (839615)------------------------------
% 19.35/3.77 % (839615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.77 % (839615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.77 % (839615)CaDiCaL version: 2.1.3
% 19.35/3.77 % (839615)Termination reason: Refutation not found, incomplete strategy
% 19.35/3.77 % (839615)Time elapsed: 0.008 s
% 19.35/3.77 % (839615)Peak memory usage: 88 MB
% 19.35/3.77 % (839615)Instructions burned: 5 (million)
% 19.35/3.77 % (839616)Instruction limit reached!
% 19.35/3.77 % (839616)------------------------------
% 19.35/3.77 % (839616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.77 % (839616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.77 % (839616)CaDiCaL version: 2.1.3
% 19.35/3.77 % (839616)Termination reason: Instruction limit
% 19.35/3.77 % (839616)Termination phase: Saturation
% 19.35/3.77 % (839616)Time elapsed: 0.105 s
% 19.35/3.77 % (839616)Peak memory usage: 88 MB
% 19.35/3.77 % (839616)Instructions burned: 119 (million)
% 19.35/3.77 % (839618)dis-21_1_sil=8000:lcm=predicate:random_seed=4165425401: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)
% 19.35/3.77 % (839618)Instruction limit reached!
% 19.35/3.77 % (839618)------------------------------
% 19.35/3.77 % (839618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.77 % (839618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.77 % (839618)CaDiCaL version: 2.1.3
% 19.35/3.77 % (839618)Termination reason: Instruction limit
% 19.35/3.77 % (839618)Termination phase: Saturation
% 19.35/3.77 % (839618)Time elapsed: 0.127 s
% 19.35/3.77 % (839618)Peak memory usage: 89 MB
% 19.35/3.77 % (839618)Instructions burned: 129 (million)
% 19.35/3.77 % (839621)lrs+10_1_sil=8000:sp=occurrence:random_seed=3723714507:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 19.35/3.77 % (839626)lrs+10_1_sil=32000:urr=on:br=off:random_seed=117112903:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.35/3.77 % (839621)Instruction limit reached!
% 19.35/3.77 % (839621)------------------------------
% 19.35/3.77 % (839621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.77 % (839621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.77 % (839621)CaDiCaL version: 2.1.3
% 19.35/3.77 % (839621)Termination reason: Instruction limit
% 19.35/3.77 % (839621)Termination phase: Saturation
% 19.35/3.77 % (839621)Time elapsed: 0.144 s
% 31.16/5.36 % (839621)Peak memory usage: 92 MB
% 31.16/5.36 % (839621)Instructions burned: 286 (million)
% 31.16/5.36 % (839615)------------------------------
% 31.16/5.36 % (839615)------------------------------
% 31.16/5.36 % (839626)Instruction limit reached!
% 31.16/5.36 % (839626)------------------------------
% 31.16/5.36 % (839626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.16/5.36 % (839626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.16/5.36 % (839626)CaDiCaL version: 2.1.3
% 31.16/5.36 % (839626)Termination reason: Instruction limit
% 31.16/5.36 % (839626)Termination phase: Saturation
% 31.16/5.36 % (839626)Time elapsed: 0.138 s
% 31.16/5.36 % (839626)Peak memory usage: 89 MB
% 31.16/5.36 % (839626)Instructions burned: 158 (million)
% 31.16/5.36 % (839628)lrs+1011_1_sil=32000:sp=occurrence:random_seed=62178835:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 31.16/5.36 % (839631)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=18375674:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 31.16/5.36 % (839633)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1095836988:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 31.16/5.36 % (839631)Instruction limit reached!
% 31.16/5.36 % (839631)------------------------------
% 31.16/5.36 % (839631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.16/5.36 % (839631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.16/5.36 % (839631)CaDiCaL version: 2.1.3
% 31.16/5.36 % (839631)Termination reason: Instruction limit
% 31.16/5.36 % (839631)Termination phase: Saturation
% 31.16/5.36 % (839631)Time elapsed: 0.120 s
% 31.16/5.36 % (839631)Peak memory usage: 92 MB
% 31.16/5.36 % (839631)Instructions burned: 250 (million)
% 31.16/5.36 % (839632)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3761087010:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 31.16/5.36 % (839628)Instruction limit reached!
% 31.16/5.36 % (839628)------------------------------
% 31.16/5.36 % (839628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.16/5.36 % (839628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.16/5.36 % (839628)CaDiCaL version: 2.1.3
% 31.16/5.36 % (839628)Termination reason: Instruction limit
% 31.16/5.36 % (839628)Termination phase: Saturation
% 31.16/5.36 % (839628)Time elapsed: 0.360 s
% 31.16/5.36 % (839628)Peak memory usage: 92 MB
% 31.16/5.36 % (839628)Instructions burned: 326 (million)
% 31.16/5.36 % (839637)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2229738321:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 31.16/5.36 % (839632)Instruction limit reached!
% 31.16/5.36 % (839632)------------------------------
% 31.16/5.36 % (839632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.16/5.36 % (839632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.16/5.36 % (839632)CaDiCaL version: 2.1.3
% 31.16/5.36 % (839632)Termination reason: Instruction limit
% 31.16/5.36 % (839632)Termination phase: Saturation
% 31.16/5.36 % (839632)Time elapsed: 0.300 s
% 31.16/5.36 % (839632)Peak memory usage: 90 MB
% 31.16/5.36 % (839632)Instructions burned: 294 (million)
% 31.16/5.36 % (839637)Instruction limit reached!
% 31.16/5.36 % (839637)------------------------------
% 31.16/5.36 % (839637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.16/5.36 % (839637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.16/5.36 % (839637)CaDiCaL version: 2.1.3
% 31.16/5.36 % (839637)Termination reason: Instruction limit
% 31.16/5.36 % (839637)Termination phase: Saturation
% 31.16/5.36 % (839637)Time elapsed: 0.131 s
% 31.16/5.36 % (839637)Peak memory usage: 90 MB
% 31.16/5.36 % (839637)Instructions burned: 114 (million)
% 31.16/5.36 % (839639)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2306229964:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 31.16/5.36 % (839639)Instruction limit reached!
% 31.16/5.36 % (839639)------------------------------
% 31.16/5.36 % (839639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.16/5.36 % (839639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.16/5.36 % (839639)CaDiCaL version: 2.1.3
% 31.16/5.36 % (839639)Termination reason: Instruction limit
% 31.16/5.36 % (839639)Termination phase: Saturation
% 31.16/5.36 % (839639)Time elapsed: 0.061 s
% 21.83/5.61 % (839639)Peak memory usage: 89 MB
% 21.83/5.61 % (839639)Instructions burned: 127 (million)
% 21.83/5.61 % (839643)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=180995353:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 21.83/5.61 % (839643)Instruction limit reached!
% 21.83/5.61 % (839643)------------------------------
% 21.83/5.61 % (839643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839643)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839643)Termination reason: Instruction limit
% 21.83/5.61 % (839643)Termination phase: Saturation
% 21.83/5.61 % (839643)Time elapsed: 0.087 s
% 21.83/5.61 % (839643)Peak memory usage: 89 MB
% 21.83/5.61 % (839643)Instructions burned: 115 (million)
% 21.83/5.61 % (839645)lrs+10_1_sil=8000:sp=occurrence:random_seed=3113914772:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 21.83/5.61 % (839646)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2701414702:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 21.83/5.61 % (839646)Refutation not found, incomplete strategy
% 21.83/5.61 % (839646)------------------------------
% 21.83/5.61 % (839646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839646)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839646)Termination reason: Refutation not found, incomplete strategy
% 21.83/5.61 % (839646)Time elapsed: 0.003 s
% 21.83/5.61 % (839646)Peak memory usage: 88 MB
% 21.83/5.61 % (839646)Instructions burned: 3 (million)
% 21.83/5.61 % (839646)------------------------------
% 21.83/5.61 % (839646)------------------------------
% 21.83/5.61 % (839649)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1040343478:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 21.83/5.61 % (839653)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2517343398:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 21.83/5.61 % (839653)Instruction limit reached!
% 21.83/5.61 % (839653)------------------------------
% 21.83/5.61 % (839653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839653)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839653)Termination reason: Instruction limit
% 21.83/5.61 % (839653)Termination phase: Saturation
% 21.83/5.61 % (839653)Time elapsed: 0.054 s
% 21.83/5.61 % (839653)Peak memory usage: 90 MB
% 21.83/5.61 % (839653)Instructions burned: 134 (million)
% 21.83/5.61 % (839656)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3427798689:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 21.83/5.61 % (839645)Instruction limit reached!
% 21.83/5.61 % (839645)------------------------------
% 21.83/5.61 % (839645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839645)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839645)Termination reason: Instruction limit
% 21.83/5.61 % (839645)Termination phase: Saturation
% 21.83/5.61 % (839645)Time elapsed: 0.857 s
% 21.83/5.61 % (839645)Peak memory usage: 97 MB
% 21.83/5.61 % (839645)Instructions burned: 907 (million)
% 21.83/5.61 % (839656)Instruction limit reached!
% 21.83/5.61 % (839656)------------------------------
% 21.83/5.61 % (839656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839656)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839656)Termination reason: Instruction limit
% 21.83/5.61 % (839656)Termination phase: Saturation
% 21.83/5.61 % (839656)Time elapsed: 0.282 s
% 21.83/5.61 % (839656)Peak memory usage: 94 MB
% 21.83/5.61 % (839656)Instructions burned: 592 (million)
% 21.83/5.61 % (839658)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2140728507:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 21.83/5.61 % (839659)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=3972370955:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 21.83/5.61 % (839659)Instruction limit reached!
% 21.83/5.61 % (839659)------------------------------
% 21.83/5.61 % (839659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839659)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839659)Termination reason: Instruction limit
% 21.83/5.61 % (839659)Termination phase: Saturation
% 21.83/5.61 % (839659)Time elapsed: 0.061 s
% 21.83/5.61 % (839659)Peak memory usage: 90 MB
% 21.83/5.61 % (839659)Instructions burned: 127 (million)
% 21.83/5.61 % (839662)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=98919697:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 21.83/5.61 % (839662)Instruction limit reached!
% 21.83/5.61 % (839662)------------------------------
% 21.83/5.61 % (839662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839662)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839662)Termination reason: Instruction limit
% 21.83/5.61 % (839662)Termination phase: Saturation
% 21.83/5.61 % (839662)Time elapsed: 0.074 s
% 21.83/5.61 % (839662)Peak memory usage: 90 MB
% 21.83/5.61 % (839662)Instructions burned: 134 (million)
% 21.83/5.61 % (839633)Instruction limit reached!
% 21.83/5.61 % (839633)------------------------------
% 21.83/5.61 % (839633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839633)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839633)Termination reason: Instruction limit
% 21.83/5.61 % (839633)Termination phase: Saturation
% 21.83/5.61 % (839633)Time elapsed: 2.377 s
% 21.83/5.61 % (839633)Peak memory usage: 142 MB
% 21.83/5.61 % (839633)Instructions burned: 2351 (million)
% 21.83/5.61 % (839664)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=570932916:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 21.83/5.61 % (839664)Instruction limit reached!
% 21.83/5.61 % (839664)------------------------------
% 21.83/5.61 % (839664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839664)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839664)Termination reason: Instruction limit
% 21.83/5.61 % (839664)Termination phase: Saturation
% 21.83/5.61 % (839664)Time elapsed: 0.064 s
% 21.83/5.61 % (839664)Peak memory usage: 90 MB
% 21.83/5.61 % (839664)Instructions burned: 141 (million)
% 21.83/5.61 % (839665)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2158209816:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 21.83/5.61 % (839667)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=2252844660:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 21.83/5.61 % (839665)Instruction limit reached!
% 21.83/5.61 % (839665)------------------------------
% 21.83/5.61 % (839665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839665)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839665)Termination reason: Instruction limit
% 21.83/5.61 % (839665)Termination phase: Saturation
% 21.83/5.61 % (839665)Time elapsed: 0.357 s
% 21.83/5.61 % (839665)Peak memory usage: 92 MB
% 21.83/5.61 % (839665)Instructions burned: 431 (million)
% 21.83/5.61 % (839614)First to succeed.
% 21.83/5.61 % (839614)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-839607"
% 21.83/5.61 % (839672)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=1735069157:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2960 on theBenchmark for (2960ds/150Mi)
% 21.83/5.61 % (839672)Instruction limit reached!
% 21.83/5.61 % (839672)------------------------------
% 21.83/5.61 % (839672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.83/5.61 % (839672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/5.61 % (839672)CaDiCaL version: 2.1.3
% 21.83/5.61 % (839672)Termination reason: Instruction limit
% 21.83/5.61 % (839672)Termination phase: Saturation
% 21.83/5.61 % (839672)Time elapsed: 0.163 s
% 21.83/5.61 % (839672)Peak memory usage: 91 MB
% 21.83/5.61 % (839672)Instructions burned: 151 (million)
% 21.83/5.61 % (839614)Refutation found. Thanks to Tanya!
% 21.83/5.61 % SZS status Theorem for theBenchmark
% 21.83/5.61 % SZS output start Proof for theBenchmark
% See solution above
% 33.45/5.75 % (839614)------------------------------
% 33.45/5.75 % (839614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/5.75 % (839614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.75 % (839614)CaDiCaL version: 2.1.3
% 33.45/5.75 % (839614)Termination reason: Refutation
% 33.45/5.75 % (839614)Time elapsed: 3.956 s
% 33.45/5.75 % (839614)Peak memory usage: 152 MB
% 33.45/5.75 % (839614)Instructions burned: 3585 (million)
% 33.45/5.75 % (839614)------------------------------
% 33.45/5.75 % (839614)------------------------------
% 33.45/5.75 % (839607)Success in time 4.64 s
% 33.45/5.75 % Vampire exiting
%------------------------------------------------------------------------------