%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU426+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:48:56 PM UTC 2026
% Result : Theorem 20.06s 3.73s
% Output : Refutation 20.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 33
% Syntax : Number of formulae : 232 ( 52 unt; 18 def)
% Number of atoms : 744 ( 109 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 902 ( 390 ~; 400 |; 73 &)
% ( 24 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 11 con; 0-4 aty)
% Number of variables : 364 ( 1 sgn 335 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k5_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X2),X0)),k9_relat_1(X2,k3_tarski(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k5_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X2),X0)),k9_relat_1(X2,k3_tarski(X0))) ),
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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f7,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f9,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f10,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f11,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relset_2) ).
fof(f25,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( v1_funct_1(k6_relset_2(X0,X1,X2))
& v1_funct_2(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(f29,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f51,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_2) ).
fof(f53,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( r2_hidden(X0,k1_relat_1(k5_relset_2(X1,X3)))
=> k1_funct_1(k5_relset_2(X1,X3),X0) = k9_relat_1(X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_relset_2) ).
fof(f63,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f53]) ).
fof(f66,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( v1_funct_1(k6_relset_2(X0,X1,X2))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f67,plain,
? [X0,X1,X2] :
( ~ r1_tarski(k5_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X2),X0)),k9_relat_1(X2,k3_tarski(X0)))
& m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,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(f71,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,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,[],[f8]) ).
fof(f74,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k6_relset_2(X0,X1,X2))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f66]) ).
fof(f80,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f89,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,[],[f50]) ).
fof(f90,plain,
! [X0,X1,X2] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f51]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( k1_funct_1(k5_relset_2(X1,X3),X0) = k9_relat_1(X3,X0)
| ~ r2_hidden(X0,k1_relat_1(k5_relset_2(X1,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f54]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( k1_funct_1(k5_relset_2(X1,X3),X0) = k9_relat_1(X3,X0)
| ~ r2_hidden(X0,k1_relat_1(k5_relset_2(X1,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f91]) ).
fof(f102,plain,
( ~ r1_tarski(k5_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK2),sK0)),k9_relat_1(sK2,k3_tarski(sK0)))
& m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f67]) ).
fof(f103,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != X3 )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != X3 ) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f72]) ).
fof(f104,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != X3 )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(X5,k1_relat_1(X0))
& r2_hidden(X5,X1)
& k1_funct_1(X0,X5) = X3 )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,k1_relat_1(X0))
| ~ r2_hidden(X7,X1)
| k1_funct_1(X0,X7) != X6 ) )
& ( ? [X8] :
( r2_hidden(X8,k1_relat_1(X0))
& r2_hidden(X8,X1)
& k1_funct_1(X0,X8) = X6 )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(rectify,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != sK3(X0,X1,X2) )
| ~ r2_hidden(sK3(X0,X1,X2),X2) )
& ( ( r2_hidden(sK4(X0,X1,X2),k1_relat_1(X0))
& r2_hidden(sK4(X0,X1,X2),X1)
& sK3(X0,X1,X2) = k1_funct_1(X0,sK4(X0,X1,X2)) )
| r2_hidden(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,k1_relat_1(X0))
| ~ r2_hidden(X7,X1)
| k1_funct_1(X0,X7) != X6 ) )
& ( ( r2_hidden(sK5(X0,X1,X6),k1_relat_1(X0))
& r2_hidden(sK5(X0,X1,X6),X1)
& k1_funct_1(X0,sK5(X0,X1,X6)) = X6 )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_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))],[f104]) ).
fof(f106,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,[],[f73]) ).
fof(f107,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,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK6(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK6(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0)
& r2_hidden(sK7(X0,X1,X2),X1) )
| r2_hidden(sK6(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(sK8(X0,X1,X6),X6),X0)
& r2_hidden(sK8(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,[sK6,sK7,sK8]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X5,sK7(X0,X1,X2)),skolemize(X8,sK8(X0,X1,X6))],[f107]) ).
fof(f109,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,[],[f74]) ).
fof(f110,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,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK9(X0,X1),X1)
& r2_hidden(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f110]) ).
fof(f112,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,[],[f10]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK10(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK10(X0,X1),X1) )
& ( ( r2_hidden(sK10(X0,X1),sK11(X0,X1))
& r2_hidden(sK11(X0,X1),X0) )
| r2_hidden(sK10(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK12(X0,X5))
& r2_hidden(sK12(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X2,sK10(X0,X1)),skolemize(X4,sK11(X0,X1)),skolemize(X7,sK12(X0,X5))],[f113]) ).
fof(f126,plain,
m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f102]) ).
fof(f127,plain,
~ r1_tarski(k5_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK2),sK0)),k9_relat_1(sK2,k3_tarski(sK0))),
inference(cnf_transformation,[],[f102]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f132,plain,
! [X2,X0,X1,X6] :
( k1_funct_1(X0,sK5(X0,X1,X6)) = X6
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f133,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)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f134,plain,
! [X2,X0,X1,X6] :
( r2_hidden(sK5(X0,X1,X6),k1_relat_1(X0))
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f140,plain,
! [X2,X0,X1,X6] :
( r2_hidden(sK8(X0,X1,X6),X1)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f141,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k4_tarski(sK8(X0,X1,X6),X6),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f142,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,[],[f108]) ).
fof(f146,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f147,plain,
! [X0,X1] :
( r2_hidden(sK9(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f148,plain,
! [X0,X1] :
( ~ r2_hidden(sK9(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f149,plain,
! [X0,X1,X5] :
( r2_hidden(sK12(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f150,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK12(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f151,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f155,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(cnf_transformation,[],[f76]) ).
fof(f161,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(cnf_transformation,[],[f79]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| v1_funct_1(k6_relset_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f163,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
| k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f88]) ).
fof(f193,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k5_setfam_1(X0,X1) = k3_tarski(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f197,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f63]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k1_relat_1(k5_relset_2(X1,X3)))
| k1_funct_1(k5_relset_2(X1,X3),X0) = k9_relat_1(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f92]) ).
fof(f210,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,[],[f142,f155]) ).
fof(f211,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK8(X0,X1,X6),X6),k1_tarski(sK8(X0,X1,X6))),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f141,f155]) ).
fof(f214,plain,
! [X0,X1,X6] :
( r2_hidden(sK5(X0,X1,X6),k1_relat_1(X0))
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f215,plain,
! [X0,X1,X6] :
( r2_hidden(sK5(X0,X1,X6),X1)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f216,plain,
! [X0,X1,X6] :
( ~ r2_hidden(X6,k9_relat_1(X0,X1))
| k1_funct_1(X0,sK5(X0,X1,X6)) = X6
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f132]) ).
fof(f217,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(X7,X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f210]) ).
fof(f218,plain,
! [X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK8(X0,X1,X6),X6),k1_tarski(sK8(X0,X1,X6))),X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f211]) ).
fof(f219,plain,
! [X0,X1,X6] :
( r2_hidden(sK8(X0,X1,X6),X1)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f140]) ).
fof(f220,plain,
! [X0,X6,X5] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6)
| r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f151]) ).
fof(f221,plain,
! [X0,X5] :
( r2_hidden(X5,sK12(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f150]) ).
fof(f222,plain,
! [X0,X5] :
( r2_hidden(sK12(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f149]) ).
fof(f223,definition,
sF22 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f224,plain,
k1_zfmisc_1(sK0) = sF22,
inference(reorient_equations,[],[f223]) ).
fof(f225,definition,
sF23 = k6_relset_2(sK1,sK0,sK2),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f226,plain,
k6_relset_2(sK1,sK0,sK2) = sF23,
inference(reorient_equations,[],[f225]) ).
fof(f227,definition,
sF24 = k4_relset_2(sF22,sK1,sF23,sK0),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f228,plain,
k4_relset_2(sF22,sK1,sF23,sK0) = sF24,
inference(reorient_equations,[],[f227]) ).
fof(f229,definition,
sF25 = k5_setfam_1(sK1,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f230,plain,
k5_setfam_1(sK1,sF24) = sF25,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF26 = k3_tarski(sK0),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f232,plain,
k3_tarski(sK0) = sF26,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF27 = k9_relat_1(sK2,sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f234,plain,
k9_relat_1(sK2,sF26) = sF27,
inference(reorient_equations,[],[f233]) ).
fof(f235,plain,
~ r1_tarski(sF25,sF27),
inference(definition_folding,[],[f127,f234,f232,f230,f228,f226,f224]) ).
fof(f236,definition,
sF28 = k2_zfmisc_1(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f237,plain,
k2_zfmisc_1(sK0,sK1) = sF28,
inference(reorient_equations,[],[f236]) ).
fof(f238,definition,
sF29 = k1_zfmisc_1(sF28),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f239,plain,
k1_zfmisc_1(sF28) = sF29,
inference(reorient_equations,[],[f238]) ).
fof(f240,plain,
m1_subset_1(sK2,sF29),
inference(definition_folding,[],[f126,f239,f237]) ).
fof(f243,definition,
( spl30_1
<=> m1_subset_1(sF24,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f244,plain,
( m1_subset_1(sF24,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( ~ m1_subset_1(sF24,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl30_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f256,plain,
( m1_subset_1(sF24,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(sF23,k1_zfmisc_1(k2_zfmisc_1(sF22,k1_zfmisc_1(sK1)))) ),
inference(superposition,[],[f157,f228]) ).
fof(f257,plain,
( ~ m1_subset_1(sF23,k1_zfmisc_1(k2_zfmisc_1(sF22,k1_zfmisc_1(sK1))))
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f256,f245]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| r2_hidden(X0,k9_relat_1(X1,X3))
| ~ r2_hidden(sK8(X1,X2,X0),X3)
| ~ v1_relat_1(X1) ),
inference(resolution,[],[f218,f217]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK8(X1,X2,X0),X3)
| ~ v1_relat_1(X1)
| r2_hidden(X0,k9_relat_1(X1,X3))
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f269,plain,
( m2_relset_1(sF23,k1_zfmisc_1(sK0),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f161,f226]) ).
fof(f274,plain,
( m2_relset_1(sF23,sF22,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f269,f224]) ).
fof(f275,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sF28))
| m2_relset_1(sF23,sF22,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f274,f237]) ).
fof(f276,plain,
( ~ m1_subset_1(sK2,sF29)
| m2_relset_1(sF23,sF22,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f275,f239]) ).
fof(f277,plain,
m2_relset_1(sF23,sF22,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f276,f240]) ).
fof(f279,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| k6_relset_2(sK1,sK0,X0) = k5_relset_2(sK0,X0) ),
inference(superposition,[],[f194,f237]) ).
fof(f280,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k6_relset_2(sK1,sK0,X0) = k5_relset_2(sK0,X0) ),
inference(forward_demodulation,[],[f279,f239]) ).
fof(f281,plain,
k6_relset_2(sK1,sK0,sK2) = k5_relset_2(sK0,sK2),
inference(resolution,[],[f280,f240]) ).
fof(f282,plain,
sF23 = k5_relset_2(sK0,sK2),
inference(forward_demodulation,[],[f281,f226]) ).
fof(f289,definition,
( spl30_4
<=> v1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl30_4])],[avatar_definition]) ).
fof(f290,plain,
( v1_relat_1(sK2)
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f297,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| v1_relat_1(X0) ),
inference(superposition,[],[f130,f237]) ).
fof(f298,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| v1_relat_1(X0) ),
inference(forward_demodulation,[],[f297,f239]) ).
fof(f299,plain,
v1_relat_1(sK2),
inference(resolution,[],[f298,f240]) ).
fof(f300,plain,
spl30_4,
inference(avatar_split_clause,[],[f299,f289]) ).
fof(f321,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_relat_1(sF23))
| k9_relat_1(sK2,X0) = k1_funct_1(sF23,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,X1))) ),
inference(superposition,[],[f198,f282]) ).
fof(f323,definition,
( spl30_6
<=> ! [X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,X1))) ),
introduced(definition,[new_symbols(definition,[spl30_6])],[avatar_definition]) ).
fof(f324,plain,
( ! [X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,X1)))
| ~ spl30_6 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f326,definition,
( spl30_7
<=> ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF23))
| k9_relat_1(sK2,X0) = k1_funct_1(sF23,X0) ) ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f327,plain,
( ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF23))
| k9_relat_1(sK2,X0) = k1_funct_1(sF23,X0) )
| ~ spl30_7 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f328,plain,
( spl30_6
| spl30_7 ),
inference(avatar_split_clause,[],[f321,f326,f323]) ).
fof(f329,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sF28))
| ~ spl30_6 ),
inference(superposition,[],[f324,f237]) ).
fof(f330,plain,
( ~ m1_subset_1(sK2,sF29)
| ~ spl30_6 ),
inference(forward_demodulation,[],[f329,f239]) ).
fof(f331,plain,
( $false
| ~ spl30_6 ),
inference(forward_subsumption_resolution,[],[f330,f240]) ).
fof(f332,plain,
~ spl30_6,
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f349,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| v1_funct_1(k6_relset_2(sK1,sK0,X0)) ),
inference(superposition,[],[f162,f237]) ).
fof(f350,plain,
! [X0] :
( v1_funct_1(k6_relset_2(sK1,sK0,X0))
| ~ m1_subset_1(X0,sF29) ),
inference(forward_demodulation,[],[f349,f239]) ).
fof(f356,plain,
( v1_funct_1(sF23)
| ~ m1_subset_1(sK2,sF29) ),
inference(superposition,[],[f350,f226]) ).
fof(f357,plain,
v1_funct_1(sF23),
inference(forward_subsumption_resolution,[],[f356,f240]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sF23,X1))
| ~ v1_relat_1(sF23)
| ~ v1_funct_1(sF23)
| k9_relat_1(sK2,sK5(sF23,X1,X0)) = k1_funct_1(sF23,sK5(sF23,X1,X0)) )
| ~ spl30_7 ),
inference(resolution,[],[f214,f327]) ).
fof(f376,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sF23,X1))
| ~ v1_relat_1(sF23)
| k9_relat_1(sK2,sK5(sF23,X1,X0)) = k1_funct_1(sF23,sK5(sF23,X1,X0)) )
| ~ spl30_7 ),
inference(forward_subsumption_resolution,[],[f375,f357]) ).
fof(f378,definition,
( spl30_11
<=> v1_relat_1(sF23) ),
introduced(definition,[new_symbols(definition,[spl30_11])],[avatar_definition]) ).
fof(f379,plain,
( v1_relat_1(sF23)
| ~ spl30_11 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f380,plain,
( ~ v1_relat_1(sF23)
| spl30_11 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f382,definition,
( spl30_12
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sF23,X1))
| k9_relat_1(sK2,sK5(sF23,X1,X0)) = k1_funct_1(sF23,sK5(sF23,X1,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl30_12])],[avatar_definition]) ).
fof(f383,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sF23,X1))
| k9_relat_1(sK2,sK5(sF23,X1,X0)) = k1_funct_1(sF23,sK5(sF23,X1,X0)) )
| ~ spl30_12 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ spl30_11
| spl30_12
| ~ spl30_7 ),
inference(avatar_split_clause,[],[f376,f326,f382,f378]) ).
fof(f440,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,k1_zfmisc_1(X2))
| k9_relat_1(X0,X3) = k4_relset_2(X1,X2,X0,X3) ),
inference(resolution,[],[f163,f192]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f163,f130]) ).
fof(f458,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK8(X0,X1,X2),X3)
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X2,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(resolution,[],[f146,f219]) ).
fof(f459,plain,
! [X2,X0,X1] :
( r2_hidden(sK9(X0,X1),X2)
| ~ r1_tarski(X0,X2)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f146,f147]) ).
fof(f539,plain,
v1_relat_1(sF23),
inference(resolution,[],[f442,f277]) ).
fof(f540,plain,
( $false
| spl30_11 ),
inference(forward_subsumption_resolution,[],[f539,f380]) ).
fof(f541,plain,
spl30_11,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f557,plain,
! [X0] : k9_relat_1(sF23,X0) = k4_relset_2(sF22,sK1,sF23,X0),
inference(resolution,[],[f440,f277]) ).
fof(f561,plain,
sF24 = k9_relat_1(sF23,sK0),
inference(superposition,[],[f228,f557]) ).
fof(f563,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF24)
| k9_relat_1(sK2,sK5(sF23,sK0,X0)) = k1_funct_1(sF23,sK5(sF23,sK0,X0)) )
| ~ spl30_12 ),
inference(superposition,[],[f383,f561]) ).
fof(f564,plain,
! [X0] :
( ~ r2_hidden(X0,sF24)
| k1_funct_1(sF23,sK5(sF23,sK0,X0)) = X0
| ~ v1_relat_1(sF23)
| ~ v1_funct_1(sF23) ),
inference(superposition,[],[f216,f561]) ).
fof(f567,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF24)
| k1_funct_1(sF23,sK5(sF23,sK0,X0)) = X0
| ~ v1_funct_1(sF23) )
| ~ spl30_11 ),
inference(forward_subsumption_resolution,[],[f564,f379]) ).
fof(f569,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF24)
| k1_funct_1(sF23,sK5(sF23,sK0,X0)) = X0 )
| ~ spl30_11 ),
inference(forward_subsumption_resolution,[],[f567,f357]) ).
fof(f577,plain,
( ! [X0] :
( ~ r2_hidden(X0,k3_tarski(sF24))
| sK12(sF24,X0) = k1_funct_1(sF23,sK5(sF23,sK0,sK12(sF24,X0))) )
| ~ spl30_11 ),
inference(resolution,[],[f569,f222]) ).
fof(f1305,plain,
( ~ m2_relset_1(sF23,sF22,k1_zfmisc_1(sK1))
| spl30_1 ),
inference(resolution,[],[f257,f163]) ).
fof(f1306,plain,
( $false
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f1305,f277]) ).
fof(f1307,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1350,plain,
( k5_setfam_1(sK1,sF24) = k3_tarski(sF24)
| ~ spl30_1 ),
inference(resolution,[],[f244,f193]) ).
fof(f1357,plain,
( sF25 = k3_tarski(sF24)
| ~ spl30_1 ),
inference(forward_demodulation,[],[f1350,f230]) ).
fof(f1360,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF25)
| sK12(sF24,X0) = k1_funct_1(sF23,sK5(sF23,sK0,sK12(sF24,X0))) )
| ~ spl30_1
| ~ spl30_11 ),
inference(superposition,[],[f577,f1357]) ).
fof(f1369,plain,
( ! [X0] :
( r1_tarski(sF25,X0)
| sK12(sF24,sK9(sF25,X0)) = k1_funct_1(sF23,sK5(sF23,sK0,sK12(sF24,sK9(sF25,X0)))) )
| ~ spl30_1
| ~ spl30_11 ),
inference(resolution,[],[f1360,f147]) ).
fof(f1373,plain,
( sK12(sF24,sK9(sF25,sF27)) = k1_funct_1(sF23,sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))))
| ~ spl30_1
| ~ spl30_11 ),
inference(resolution,[],[f1369,f235]) ).
fof(f1382,definition,
( spl30_72
<=> r2_hidden(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),sK0) ),
introduced(definition,[new_symbols(definition,[spl30_72])],[avatar_definition]) ).
fof(f1383,plain,
( r2_hidden(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),sK0)
| ~ spl30_72 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1384,plain,
( ~ r2_hidden(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),sK0)
| spl30_72 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1390,definition,
( spl30_74
<=> r2_hidden(sK12(sF24,sK9(sF25,sF27)),sF24) ),
introduced(definition,[new_symbols(definition,[spl30_74])],[avatar_definition]) ).
fof(f1391,plain,
( ~ r2_hidden(sK12(sF24,sK9(sF25,sF27)),sF24)
| spl30_74 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1392,plain,
( r2_hidden(sK12(sF24,sK9(sF25,sF27)),sF24)
| ~ spl30_74 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1419,plain,
( ~ r2_hidden(sK9(sF25,sF27),k3_tarski(sF24))
| spl30_74 ),
inference(resolution,[],[f1391,f222]) ).
fof(f1422,plain,
( ~ r2_hidden(sK9(sF25,sF27),sF25)
| ~ spl30_1
| spl30_74 ),
inference(forward_demodulation,[],[f1419,f1357]) ).
fof(f1425,plain,
( ~ r1_tarski(sF25,sF25)
| r1_tarski(sF25,sF27)
| ~ spl30_1
| spl30_74 ),
inference(resolution,[],[f1422,f459]) ).
fof(f1426,plain,
( r1_tarski(sF25,sF27)
| ~ spl30_1
| spl30_74 ),
inference(forward_subsumption_resolution,[],[f1425,f197]) ).
fof(f1429,plain,
( $false
| ~ spl30_1
| spl30_74 ),
inference(forward_subsumption_resolution,[],[f1426,f235]) ).
fof(f1430,plain,
( ~ spl30_1
| spl30_74 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1433,plain,
( k1_funct_1(sF23,sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27)))) = k9_relat_1(sK2,sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))))
| ~ spl30_12
| ~ spl30_74 ),
inference(resolution,[],[f1392,f563]) ).
fof(f1442,plain,
( sK12(sF24,sK9(sF25,sF27)) = k9_relat_1(sK2,sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))))
| ~ spl30_1
| ~ spl30_11
| ~ spl30_12
| ~ spl30_74 ),
inference(forward_demodulation,[],[f1433,f1373]) ).
fof(f1566,plain,
( ~ r2_hidden(sK12(sF24,sK9(sF25,sF27)),k9_relat_1(sF23,sK0))
| ~ v1_relat_1(sF23)
| ~ v1_funct_1(sF23)
| spl30_72 ),
inference(resolution,[],[f1384,f215]) ).
fof(f1567,plain,
( ~ r2_hidden(sK12(sF24,sK9(sF25,sF27)),k9_relat_1(sF23,sK0))
| ~ v1_funct_1(sF23)
| ~ spl30_11
| spl30_72 ),
inference(forward_subsumption_resolution,[],[f1566,f379]) ).
fof(f1568,plain,
( ~ r2_hidden(sK12(sF24,sK9(sF25,sF27)),k9_relat_1(sF23,sK0))
| ~ spl30_11
| spl30_72 ),
inference(forward_subsumption_resolution,[],[f1567,f357]) ).
fof(f1569,plain,
( ~ r2_hidden(sK12(sF24,sK9(sF25,sF27)),sF24)
| ~ spl30_11
| spl30_72 ),
inference(forward_demodulation,[],[f1568,f561]) ).
fof(f1570,plain,
( $false
| ~ spl30_11
| spl30_72
| ~ spl30_74 ),
inference(forward_subsumption_resolution,[],[f1569,f1392]) ).
fof(f1571,plain,
( ~ spl30_11
| spl30_72
| ~ spl30_74 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1579,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))))
| r2_hidden(X0,k3_tarski(sK0)) )
| ~ spl30_72 ),
inference(resolution,[],[f1383,f220]) ).
fof(f1580,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))))
| r2_hidden(X0,sF26) )
| ~ spl30_72 ),
inference(forward_demodulation,[],[f1579,f232]) ).
fof(f1619,plain,
( ! [X0] :
( r2_hidden(sK9(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),X0),sF26)
| r1_tarski(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),X0) )
| ~ spl30_72 ),
inference(resolution,[],[f1580,f147]) ).
fof(f1825,definition,
( spl30_122
<=> r2_hidden(sK9(sF25,sF27),sF25) ),
introduced(definition,[new_symbols(definition,[spl30_122])],[avatar_definition]) ).
fof(f1826,plain,
( r2_hidden(sK9(sF25,sF27),sF25)
| ~ spl30_122 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f1827,plain,
( ~ r2_hidden(sK9(sF25,sF27),sF25)
| spl30_122 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f1830,plain,
( ~ r1_tarski(sF25,sF25)
| r1_tarski(sF25,sF27)
| spl30_122 ),
inference(resolution,[],[f1827,f459]) ).
fof(f1831,plain,
( r1_tarski(sF25,sF27)
| spl30_122 ),
inference(forward_subsumption_resolution,[],[f1830,f197]) ).
fof(f1834,plain,
( $false
| spl30_122 ),
inference(forward_subsumption_resolution,[],[f1831,f235]) ).
fof(f1835,plain,
spl30_122,
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f4291,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X2,k9_relat_1(X3,X0))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X3)
| r2_hidden(X2,k9_relat_1(X3,X1))
| ~ r2_hidden(X2,k9_relat_1(X3,X0)) ),
inference(resolution,[],[f458,f265]) ).
fof(f4347,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(X3,X0))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X3)
| r2_hidden(X2,k9_relat_1(X3,X1)) ),
inference(duplicate_literal_removal,[],[f4291]) ).
fof(f4388,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK12(sF24,sK9(sF25,sF27)))
| ~ r1_tarski(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),X1)
| ~ v1_relat_1(sK2)
| r2_hidden(X0,k9_relat_1(sK2,X1)) )
| ~ spl30_1
| ~ spl30_11
| ~ spl30_12
| ~ spl30_74 ),
inference(superposition,[],[f4347,f1442]) ).
fof(f4400,plain,
( ! [X0,X1] :
( ~ r1_tarski(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),X1)
| ~ r2_hidden(X0,sK12(sF24,sK9(sF25,sF27)))
| r2_hidden(X0,k9_relat_1(sK2,X1)) )
| ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_74 ),
inference(forward_subsumption_resolution,[],[f4388,f290]) ).
fof(f5991,definition,
( spl30_372
<=> r2_hidden(sK9(sF25,sF27),sF27) ),
introduced(definition,[new_symbols(definition,[spl30_372])],[avatar_definition]) ).
fof(f5993,plain,
( r2_hidden(sK9(sF25,sF27),sF27)
| ~ spl30_372 ),
inference(avatar_component_clause,[],[f5991]) ).
fof(f14592,plain,
( r1_tarski(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),sF26)
| r1_tarski(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),sF26)
| ~ spl30_72 ),
inference(resolution,[],[f1619,f148]) ).
fof(f14600,plain,
( r1_tarski(sK5(sF23,sK0,sK12(sF24,sK9(sF25,sF27))),sF26)
| ~ spl30_72 ),
inference(duplicate_literal_removal,[],[f14592]) ).
fof(f14601,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK12(sF24,sK9(sF25,sF27)))
| r2_hidden(X0,k9_relat_1(sK2,sF26)) )
| ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74 ),
inference(resolution,[],[f14600,f4400]) ).
fof(f14602,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK12(sF24,sK9(sF25,sF27)))
| r2_hidden(X0,sF27) )
| ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74 ),
inference(forward_demodulation,[],[f14601,f234]) ).
fof(f14603,plain,
( r2_hidden(sK9(sF25,sF27),sF27)
| ~ r2_hidden(sK9(sF25,sF27),k3_tarski(sF24))
| ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74 ),
inference(resolution,[],[f14602,f221]) ).
fof(f14635,plain,
( ~ r2_hidden(sK9(sF25,sF27),sF25)
| r2_hidden(sK9(sF25,sF27),sF27)
| ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74 ),
inference(forward_demodulation,[],[f14603,f1357]) ).
fof(f14636,plain,
( r2_hidden(sK9(sF25,sF27),sF27)
| ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74
| ~ spl30_122 ),
inference(forward_subsumption_resolution,[],[f14635,f1826]) ).
fof(f14637,plain,
( spl30_372
| ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74
| ~ spl30_122 ),
inference(avatar_split_clause,[],[f14636,f1825,f1390,f1382,f382,f378,f289,f243,f5991]) ).
fof(f14638,plain,
( r1_tarski(sF25,sF27)
| ~ spl30_372 ),
inference(resolution,[],[f5993,f148]) ).
fof(f14647,plain,
( $false
| ~ spl30_372 ),
inference(forward_subsumption_resolution,[],[f14638,f235]) ).
fof(f14648,plain,
~ spl30_372,
inference(avatar_contradiction_clause,[],[f14647]) ).
cnf(s3,plain,
spl30_4,
inference(sat_conversion,[],[f300]) ).
cnf(s4,plain,
( spl30_6
| spl30_7 ),
inference(sat_conversion,[],[f328]) ).
cnf(s5,plain,
~ spl30_6,
inference(sat_conversion,[],[f332]) ).
cnf(s8,plain,
( ~ spl30_7
| ~ spl30_11
| spl30_12 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
spl30_11,
inference(sat_conversion,[],[f541]) ).
cnf(s41,plain,
spl30_1,
inference(sat_conversion,[],[f1307]) ).
cnf(s56,plain,
( ~ spl30_1
| spl30_74 ),
inference(sat_conversion,[],[f1430]) ).
cnf(s70,plain,
( ~ spl30_11
| spl30_72
| ~ spl30_74 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s96,plain,
spl30_122,
inference(sat_conversion,[],[f1835]) ).
cnf(s898,plain,
( ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74
| ~ spl30_122
| spl30_372 ),
inference(sat_conversion,[],[f14637]) ).
cnf(s899,plain,
~ spl30_372,
inference(sat_conversion,[],[f14648]) ).
cnf(s900,plain,
( ~ spl30_1
| ~ spl30_4
| ~ spl30_11
| ~ spl30_12
| ~ spl30_72
| ~ spl30_74
| ~ spl30_122 ),
inference(rat,[],[s898,s899]) ).
cnf(s913,plain,
spl30_74,
inference(rat,[],[s56,s41]) ).
cnf(s916,plain,
spl30_72,
inference(rat,[],[s70,s913,s11]) ).
cnf(s934,plain,
( ~ spl30_7
| spl30_12 ),
inference(rat,[],[s8,s11]) ).
cnf(s935,plain,
spl30_7,
inference(rat,[],[s4,s5]) ).
cnf(s938,plain,
spl30_12,
inference(rat,[],[s934,s935]) ).
cnf(s939,plain,
~ spl30_4,
inference(rat,[],[s900,s96,s913,s916,s11,s41,s938]) ).
cnf(s940,plain,
$false,
inference(rat,[],[s3,s939]) ).
fof(f14649,plain,
$false,
inference(avatar_sat_refutation,[],[s940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU426+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 05:26:33 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.48/2.31 % (3283743)Detected formulas, will run a generic FOF schedule.
% 10.48/2.31 % (3283752)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1138728871:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.48/2.31 % (3283749)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=1237025555:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.48/2.31 % (3283748)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=3417574796:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.48/2.31 % (3283751)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2102573092:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.48/2.31 % (3283750)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=3670782428:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.48/2.31 % (3283753)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=646853158:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.48/2.31 % (3283751)Refutation not found, incomplete strategy
% 10.48/2.31 % (3283751)------------------------------
% 10.48/2.31 % (3283751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.31 % (3283751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.31 % (3283751)CaDiCaL version: 2.1.3
% 10.48/2.31 % (3283751)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.31 % (3283751)Time elapsed: 0.003 s
% 10.48/2.31 % (3283751)Peak memory usage: 88 MB
% 10.48/2.31 % (3283751)Instructions burned: 3 (million)
% 10.48/2.31 % (3283754)dis-21_1_sil=8000:lcm=predicate:random_seed=3964801375:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.48/2.31 % (3283752)Instruction limit reached!
% 10.48/2.31 % (3283752)------------------------------
% 10.48/2.31 % (3283752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.31 % (3283752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.31 % (3283752)CaDiCaL version: 2.1.3
% 10.48/2.31 % (3283752)Termination reason: Instruction limit
% 10.48/2.31 % (3283752)Termination phase: Saturation
% 10.48/2.31 % (3283752)Time elapsed: 0.042 s
% 10.48/2.31 % (3283752)Peak memory usage: 88 MB
% 10.48/2.31 % (3283752)Instructions burned: 122 (million)
% 10.48/2.31 % (3283754)Instruction limit reached!
% 10.48/2.31 % (3283754)------------------------------
% 10.48/2.31 % (3283754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.31 % (3283754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.31 % (3283754)CaDiCaL version: 2.1.3
% 10.48/2.31 % (3283754)Termination reason: Instruction limit
% 10.48/2.31 % (3283754)Termination phase: Saturation
% 10.48/2.31 % (3283754)Time elapsed: 0.074 s
% 10.48/2.31 % (3283754)Peak memory usage: 88 MB
% 10.48/2.31 % (3283754)Instructions burned: 130 (million)
% 10.48/2.31 % (3283762)lrs+10_1_sil=8000:sp=occurrence:random_seed=3026091710:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.48/2.31 % (3283753)Instruction limit reached!
% 10.48/2.31 % (3283753)------------------------------
% 10.48/2.31 % (3283753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.31 % (3283753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.31 % (3283753)CaDiCaL version: 2.1.3
% 10.48/2.31 % (3283753)Termination reason: Instruction limit
% 10.48/2.31 % (3283753)Termination phase: Saturation
% 10.48/2.31 % (3283753)Time elapsed: 0.105 s
% 10.48/2.31 % (3283753)Peak memory usage: 89 MB
% 10.48/2.31 % (3283753)Instructions burned: 140 (million)
% 10.48/2.31 % (3283762)Instruction limit reached!
% 10.48/2.31 % (3283762)------------------------------
% 10.48/2.31 % (3283762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.31 % (3283762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.31 % (3283762)CaDiCaL version: 2.1.3
% 10.48/2.31 % (3283762)Termination reason: Instruction limit
% 10.48/2.31 % (3283762)Termination phase: Saturation
% 10.48/2.31 % (3283762)Time elapsed: 0.097 s
% 10.48/2.31 % (3283762)Peak memory usage: 92 MB
% 10.48/2.31 % (3283762)Instructions burned: 288 (million)
% 16.57/3.17 % (3283763)lrs+10_1_sil=32000:urr=on:br=off:random_seed=786425621:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.57/3.17 % (3283765)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3091945724:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 16.57/3.17 % (3283751)------------------------------
% 16.57/3.17 % (3283751)------------------------------
% 16.57/3.17 % (3283766)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=704906639:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 16.57/3.17 % (3283763)Instruction limit reached!
% 16.57/3.17 % (3283763)------------------------------
% 16.57/3.17 % (3283763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.17 % (3283763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.17 % (3283763)CaDiCaL version: 2.1.3
% 16.57/3.17 % (3283763)Termination reason: Instruction limit
% 16.57/3.17 % (3283763)Termination phase: Saturation
% 16.57/3.17 % (3283763)Time elapsed: 0.088 s
% 16.57/3.17 % (3283763)Peak memory usage: 90 MB
% 16.57/3.17 % (3283763)Instructions burned: 159 (million)
% 16.57/3.17 % (3283766)Instruction limit reached!
% 16.57/3.17 % (3283766)------------------------------
% 16.57/3.17 % (3283766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.17 % (3283766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.17 % (3283766)CaDiCaL version: 2.1.3
% 16.57/3.17 % (3283766)Termination reason: Instruction limit
% 16.57/3.17 % (3283766)Termination phase: Saturation
% 16.57/3.17 % (3283766)Time elapsed: 0.074 s
% 16.57/3.17 % (3283766)Peak memory usage: 91 MB
% 16.57/3.17 % (3283766)Instructions burned: 250 (million)
% 16.57/3.17 % (3283769)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3303511948:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 16.57/3.17 % (3283771)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2291179847:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 16.57/3.17 % (3283772)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=490039919:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 16.57/3.17 % (3283765)Instruction limit reached!
% 16.57/3.17 % (3283765)------------------------------
% 16.57/3.17 % (3283765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.17 % (3283765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.17 % (3283765)CaDiCaL version: 2.1.3
% 16.57/3.17 % (3283765)Termination reason: Instruction limit
% 16.57/3.17 % (3283765)Termination phase: Saturation
% 16.57/3.17 % (3283765)Time elapsed: 0.226 s
% 16.57/3.17 % (3283765)Peak memory usage: 92 MB
% 16.57/3.17 % (3283765)Instructions burned: 326 (million)
% 16.57/3.17 % (3283772)Instruction limit reached!
% 16.57/3.17 % (3283772)------------------------------
% 16.57/3.17 % (3283772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.17 % (3283772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.17 % (3283772)CaDiCaL version: 2.1.3
% 16.57/3.17 % (3283772)Termination reason: Instruction limit
% 16.57/3.17 % (3283772)Termination phase: Saturation
% 16.57/3.17 % (3283772)Time elapsed: 0.040 s
% 16.57/3.17 % (3283772)Peak memory usage: 89 MB
% 16.57/3.17 % (3283772)Instructions burned: 113 (million)
% 16.57/3.17 % (3283769)Instruction limit reached!
% 16.57/3.17 % (3283769)------------------------------
% 16.57/3.17 % (3283769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.17 % (3283769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.17 % (3283769)CaDiCaL version: 2.1.3
% 16.57/3.17 % (3283769)Termination reason: Instruction limit
% 16.57/3.17 % (3283769)Termination phase: Saturation
% 16.57/3.17 % (3283769)Time elapsed: 0.169 s
% 16.57/3.17 % (3283769)Peak memory usage: 90 MB
% 16.57/3.17 % (3283769)Instructions burned: 295 (million)
% 16.57/3.17 % (3283777)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3244705111:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 16.57/3.17 % (3283776)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=690536357:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 16.57/3.17 % (3283777)Instruction limit reached!
% 16.57/3.17 % (3283777)------------------------------
% 16.57/3.17 % (3283777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283777)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283777)Termination reason: Instruction limit
% 20.06/3.73 % (3283777)Termination phase: Saturation
% 20.06/3.73 % (3283777)Time elapsed: 0.038 s
% 20.06/3.73 % (3283777)Peak memory usage: 89 MB
% 20.06/3.73 % (3283777)Instructions burned: 114 (million)
% 20.06/3.73 % (3283776)Instruction limit reached!
% 20.06/3.73 % (3283776)------------------------------
% 20.06/3.73 % (3283776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283776)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283776)Termination reason: Instruction limit
% 20.06/3.73 % (3283776)Termination phase: Saturation
% 20.06/3.73 % (3283776)Time elapsed: 0.065 s
% 20.06/3.73 % (3283776)Peak memory usage: 89 MB
% 20.06/3.73 % (3283776)Instructions burned: 127 (million)
% 20.06/3.73 % (3283778)lrs+10_1_sil=8000:sp=occurrence:random_seed=3010290386:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 20.06/3.73 % (3283781)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2104616250:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 20.06/3.73 % (3283782)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=32663867:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 20.06/3.73 % (3283781)Instruction limit reached!
% 20.06/3.73 % (3283781)------------------------------
% 20.06/3.73 % (3283781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283781)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283781)Termination reason: Instruction limit
% 20.06/3.73 % (3283781)Termination phase: Saturation
% 20.06/3.73 % (3283781)Time elapsed: 0.139 s
% 20.06/3.73 % (3283781)Peak memory usage: 92 MB
% 20.06/3.73 % (3283781)Instructions burned: 440 (million)
% 20.06/3.73 % (3283786)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3507251358:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 20.06/3.73 % (3283786)Instruction limit reached!
% 20.06/3.73 % (3283786)------------------------------
% 20.06/3.73 % (3283786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283786)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283786)Termination reason: Instruction limit
% 20.06/3.73 % (3283786)Termination phase: Saturation
% 20.06/3.73 % (3283786)Time elapsed: 0.036 s
% 20.06/3.73 % (3283786)Peak memory usage: 90 MB
% 20.06/3.73 % (3283786)Instructions burned: 134 (million)
% 20.06/3.73 % (3283788)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3003915313:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 20.06/3.73 % (3283788)Refutation not found, incomplete strategy
% 20.06/3.73 % (3283788)------------------------------
% 20.06/3.73 % (3283788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283788)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283788)Termination reason: Refutation not found, incomplete strategy
% 20.06/3.73 % (3283788)Time elapsed: 0.002 s
% 20.06/3.73 % (3283788)Peak memory usage: 88 MB
% 20.06/3.73 % (3283788)Instructions burned: 4 (million)
% 20.06/3.73 % (3283778)Instruction limit reached!
% 20.06/3.73 % (3283778)------------------------------
% 20.06/3.73 % (3283778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283778)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283778)Termination reason: Instruction limit
% 20.06/3.73 % (3283778)Termination phase: Saturation
% 20.06/3.73 % (3283778)Time elapsed: 0.524 s
% 20.06/3.73 % (3283778)Peak memory usage: 98 MB
% 20.06/3.73 % (3283778)Instructions burned: 907 (million)
% 20.06/3.73 % (3283788)------------------------------
% 20.06/3.73 % (3283788)------------------------------
% 20.06/3.73 % (3283791)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=486069405:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 20.06/3.73 % (3283790)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3710366450:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 20.06/3.73 % (3283791)Instruction limit reached!
% 20.06/3.73 % (3283791)------------------------------
% 20.06/3.73 % (3283791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283791)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283791)Termination reason: Instruction limit
% 20.06/3.73 % (3283791)Termination phase: Saturation
% 20.06/3.73 % (3283791)Time elapsed: 0.044 s
% 20.06/3.73 % (3283791)Peak memory usage: 91 MB
% 20.06/3.73 % (3283791)Instructions burned: 126 (million)
% 20.06/3.73 % (3283794)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1688726893:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 20.06/3.73 % (3283794)Instruction limit reached!
% 20.06/3.73 % (3283794)------------------------------
% 20.06/3.73 % (3283794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283794)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283794)Termination reason: Instruction limit
% 20.06/3.73 % (3283794)Termination phase: Saturation
% 20.06/3.73 % (3283794)Time elapsed: 0.053 s
% 20.06/3.73 % (3283794)Peak memory usage: 90 MB
% 20.06/3.73 % (3283794)Instructions burned: 135 (million)
% 20.06/3.73 % (3283796)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3740955176:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 20.06/3.73 % (3283796)Instruction limit reached!
% 20.06/3.73 % (3283796)------------------------------
% 20.06/3.73 % (3283796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283796)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283796)Termination reason: Instruction limit
% 20.06/3.73 % (3283796)Termination phase: Saturation
% 20.06/3.73 % (3283796)Time elapsed: 0.045 s
% 20.06/3.73 % (3283796)Peak memory usage: 90 MB
% 20.06/3.73 % (3283796)Instructions burned: 145 (million)
% 20.06/3.73 % (3283798)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3239532906:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 20.06/3.73 % (3283798)Instruction limit reached!
% 20.06/3.73 % (3283798)------------------------------
% 20.06/3.73 % (3283798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283798)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283798)Termination reason: Instruction limit
% 20.06/3.73 % (3283798)Termination phase: Saturation
% 20.06/3.73 % (3283798)Time elapsed: 0.149 s
% 20.06/3.73 % (3283798)Peak memory usage: 93 MB
% 20.06/3.73 % (3283798)Instructions burned: 434 (million)
% 20.06/3.73 % (3283771)Instruction limit reached!
% 20.06/3.73 % (3283771)------------------------------
% 20.06/3.73 % (3283771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283771)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283771)Termination reason: Instruction limit
% 20.06/3.73 % (3283771)Termination phase: Saturation
% 20.06/3.73 % (3283771)Time elapsed: 1.520 s
% 20.06/3.73 % (3283771)Peak memory usage: 142 MB
% 20.06/3.73 % (3283771)Instructions burned: 2351 (million)
% 20.06/3.73 % (3283800)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=3387025015:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 20.06/3.73 % (3283801)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=2208942301:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 20.06/3.73 % (3283801)Instruction limit reached!
% 20.06/3.73 % (3283801)------------------------------
% 20.06/3.73 % (3283801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.06/3.73 % (3283801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.06/3.73 % (3283801)CaDiCaL version: 2.1.3
% 20.06/3.73 % (3283801)Termination reason: Instruction limit
% 20.06/3.73 % (3283801)Termination phase: Saturation
% 20.06/3.73 % (3283801)Time elapsed: 0.095 s
% 20.06/3.73 % (3283801)Peak memory usage: 91 MB
% 20.06/3.73 % (3283801)Instructions burned: 151 (million)
% 20.06/3.73 % (3283804)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4144624856:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 20.06/3.73 % (3283748)First to succeed.
% 20.06/3.73 % (3283748)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3283743"
% 20.06/3.73 % (3283748)Refutation found. Thanks to Tanya!
% 20.06/3.73 % SZS status Theorem for theBenchmark
% 20.06/3.73 % SZS output start Proof for theBenchmark
% See solution above
% 20.88/3.83 % (3283748)------------------------------
% 20.88/3.83 % (3283748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.88/3.83 % (3283748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.83 % (3283748)CaDiCaL version: 2.1.3
% 20.88/3.83 % (3283748)Termination reason: Refutation
% 20.88/3.83 % (3283748)Time elapsed: 2.465 s
% 20.88/3.83 % (3283748)Peak memory usage: 155 MB
% 20.88/3.83 % (3283748)Instructions burned: 3715 (million)
% 20.88/3.83 % (3283748)------------------------------
% 20.88/3.83 % (3283748)------------------------------
% 20.88/3.83 % (3283743)Success in time 2.879 s
% 20.88/3.83 % Vampire exiting
%------------------------------------------------------------------------------