%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU441+3 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:05 PM UTC 2026
% Result : Theorem 30.54s 6.38s
% Output : Refutation 31.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 27 unt; 2 def)
% Number of atoms : 206 ( 43 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 184 ( 76 ~; 72 |; 16 &)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-5 aty)
% Number of variables : 177 ( 0 sgn 172 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f865,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f869,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t160_relat_1) ).
fof(f1333,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(f1334,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
<=> r1_tarski(X2,k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relset_1) ).
fof(f1392,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(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1419,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f4069,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
=> ( r1_tarski(k1_funct_5(X0),X1)
& r1_tarski(k2_funct_5(X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_funct_5) ).
fof(f4077,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_5) ).
fof(f19066,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(f19067,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f19122,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f19124,conjecture,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_relset_2) ).
fof(f19125,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) ) ) ),
inference(negated_conjecture,[status(cth)],[f19124]) ).
fof(f19224,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f19066]) ).
fof(f19225,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f19224]) ).
fof(f19226,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f19067]) ).
fof(f19227,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f19226]) ).
fof(f19288,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f19122]) ).
fof(f19290,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) != k10_relset_1(X1,X2,X4,k2_funct_5(X3))
| ~ r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) )
& m2_relset_1(X4,X1,X2) )
& m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f19125]) ).
fof(f19325,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,[],[f1392]) ).
fof(f19326,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1333]) ).
fof(f19386,plain,
! [X0] :
( ! [X1] :
( k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f869]) ).
fof(f19392,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f865]) ).
fof(f19393,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f19392]) ).
fof(f19669,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1419]) ).
fof(f20047,plain,
! [X0] :
( ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f4077]) ).
fof(f20052,plain,
! [X0,X1,X2] :
( ( r1_tarski(k1_funct_5(X0),X1)
& r1_tarski(k2_funct_5(X0),X2) )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(ennf_transformation,[],[f4069]) ).
fof(f25410,plain,
( ( k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)) != k10_relset_1(sK45,sK46,sK48,k2_funct_5(sK47))
| ~ r1_tarski(k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)),k2_funct_5(sK48)) )
& m2_relset_1(sK48,sK45,sK46)
& m2_relset_1(sK47,sK44,sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48]),skolemize(X0,sK44),skolemize(X1,sK45),skolemize(X2,sK46),skolemize(X3,sK47),skolemize(X4,sK48)],[f19290]) ).
fof(f25421,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1394]) ).
fof(f25423,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X2,X0,X1)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1)) )
& ( r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1334]) ).
fof(f27558,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f19225]) ).
fof(f27559,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k5_relat_1(X3,X4) = k9_relset_2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f19227]) ).
fof(f27639,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f19288]) ).
fof(f27643,plain,
m2_relset_1(sK47,sK44,sK45),
inference(cnf_transformation,[],[f25410]) ).
fof(f27644,plain,
m2_relset_1(sK48,sK45,sK46),
inference(cnf_transformation,[],[f25410]) ).
fof(f27645,plain,
( k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)) != k10_relset_1(sK45,sK46,sK48,k2_funct_5(sK47))
| ~ r1_tarski(k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)),k2_funct_5(sK48)) ),
inference(cnf_transformation,[],[f25410]) ).
fof(f27702,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f25421]) ).
fof(f27705,plain,
! [X2,X0,X1] :
( r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f25423]) ).
fof(f27708,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,[],[f19325]) ).
fof(f27709,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f19326]) ).
fof(f27762,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f19386]) ).
fof(f27766,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f19393]) ).
fof(f28198,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f19669]) ).
fof(f28825,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k2_funct_5(X0) ),
inference(cnf_transformation,[],[f20047]) ).
fof(f28839,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(k2_funct_5(X0),X2) ),
inference(cnf_transformation,[],[f20052]) ).
fof(f40517,definition,
( spl1308_20
<=> r1_tarski(k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)),k2_funct_5(sK48)) ),
introduced(definition,[new_symbols(definition,[spl1308_20])],[avatar_definition]) ).
fof(f40518,plain,
( ~ r1_tarski(k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)),k2_funct_5(sK48))
| spl1308_20 ),
inference(avatar_component_clause,[],[f40517]) ).
fof(f40520,definition,
( spl1308_21
<=> k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)) = k10_relset_1(sK45,sK46,sK48,k2_funct_5(sK47)) ),
introduced(definition,[new_symbols(definition,[spl1308_21])],[avatar_definition]) ).
fof(f40521,plain,
( k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)) != k10_relset_1(sK45,sK46,sK48,k2_funct_5(sK47))
| spl1308_21 ),
inference(avatar_component_clause,[],[f40520]) ).
fof(f40522,plain,
( ~ spl1308_20
| ~ spl1308_21 ),
inference(avatar_split_clause,[],[f27645,f40520,f40517]) ).
fof(f40998,plain,
k2_funct_5(sK48) = k10_relset_1(sK45,sK46,sK48,sK45),
inference(resolution,[],[f27639,f27644]) ).
fof(f41000,plain,
m1_relset_1(sK48,sK45,sK46),
inference(resolution,[],[f27702,f27644]) ).
fof(f41001,plain,
m1_relset_1(sK47,sK44,sK45),
inference(resolution,[],[f27702,f27643]) ).
fof(f41008,plain,
! [X0] : k10_relset_1(sK45,sK46,sK48,X0) = k9_relat_1(sK48,X0),
inference(resolution,[],[f28198,f41000]) ).
fof(f41011,plain,
k2_funct_5(sK48) = k9_relat_1(sK48,sK45),
inference(superposition,[],[f40998,f41008]) ).
fof(f41025,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m2_relset_1(X0,X1,X2)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0) ),
inference(resolution,[],[f27708,f27559]) ).
fof(f41026,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m2_relset_1(X0,X1,X2)
| m2_relset_1(k9_relset_2(X4,X1,X2,X3,X0),X4,X2) ),
inference(resolution,[],[f27708,f27558]) ).
fof(f41027,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X4,X1)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f41025,f27708]) ).
fof(f41029,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK45,X1)
| k9_relset_2(sK44,sK45,X1,sK47,X0) = k5_relat_1(sK47,X0) ),
inference(resolution,[],[f41027,f27643]) ).
fof(f41030,plain,
k9_relset_2(sK44,sK45,sK46,sK47,sK48) = k5_relat_1(sK47,sK48),
inference(resolution,[],[f41029,f27644]) ).
fof(f41031,plain,
( k10_relset_1(sK45,sK46,sK48,k2_funct_5(sK47)) != k2_funct_5(k5_relat_1(sK47,sK48))
| spl1308_21 ),
inference(superposition,[],[f40521,f41030]) ).
fof(f41032,plain,
( k2_funct_5(k5_relat_1(sK47,sK48)) != k9_relat_1(sK48,k2_funct_5(sK47))
| spl1308_21 ),
inference(forward_demodulation,[],[f41031,f41008]) ).
fof(f41033,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X3,X1)
| m2_relset_1(k9_relset_2(X3,X1,X2,X4,X0),X3,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f41026,f27708]) ).
fof(f41038,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,sK45,X0)
| m2_relset_1(k9_relset_2(sK44,sK45,X0,sK47,X1),sK44,X0) ),
inference(resolution,[],[f41033,f27643]) ).
fof(f41039,plain,
m2_relset_1(k9_relset_2(sK44,sK45,sK46,sK47,sK48),sK44,sK46),
inference(resolution,[],[f41038,f27644]) ).
fof(f41040,plain,
m2_relset_1(k5_relat_1(sK47,sK48),sK44,sK46),
inference(forward_demodulation,[],[f41039,f41030]) ).
fof(f41061,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X2,X1)
| r1_tarski(k2_funct_5(X0),X1) ),
inference(resolution,[],[f28839,f27705]) ).
fof(f41064,plain,
r1_tarski(k2_funct_5(sK47),sK45),
inference(resolution,[],[f41061,f41001]) ).
fof(f41100,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f27709,f27708]) ).
fof(f41102,plain,
v1_relat_1(sK48),
inference(resolution,[],[f41100,f27644]) ).
fof(f41103,plain,
v1_relat_1(sK47),
inference(resolution,[],[f41100,f27643]) ).
fof(f41104,plain,
v1_relat_1(k5_relat_1(sK47,sK48)),
inference(resolution,[],[f41100,f41040]) ).
fof(f41108,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(sK48,X0),k9_relat_1(sK48,X1))
| ~ r1_tarski(X0,X1) ),
inference(resolution,[],[f41102,f27766]) ).
fof(f41119,plain,
! [X0] :
( r1_tarski(k9_relat_1(sK48,X0),k2_funct_5(sK48))
| ~ r1_tarski(X0,sK45) ),
inference(superposition,[],[f41108,f41011]) ).
fof(f41204,plain,
k2_funct_5(sK47) = k2_relat_1(sK47),
inference(resolution,[],[f28825,f41103]) ).
fof(f41205,plain,
k2_funct_5(sK48) = k2_relat_1(sK48),
inference(resolution,[],[f28825,f41102]) ).
fof(f41206,plain,
k2_funct_5(k5_relat_1(sK47,sK48)) = k2_relat_1(k5_relat_1(sK47,sK48)),
inference(resolution,[],[f28825,f41104]) ).
fof(f41209,plain,
r1_tarski(k2_relat_1(sK47),sK45),
inference(superposition,[],[f41064,f41204]) ).
fof(f41220,plain,
( k9_relat_1(sK48,k2_funct_5(sK47)) != k2_relat_1(k5_relat_1(sK47,sK48))
| spl1308_21 ),
inference(superposition,[],[f41032,f41206]) ).
fof(f41223,plain,
( k2_relat_1(k5_relat_1(sK47,sK48)) != k9_relat_1(sK48,k2_relat_1(sK47))
| spl1308_21 ),
inference(forward_demodulation,[],[f41220,f41204]) ).
fof(f45310,plain,
( $false
| spl1308_21 ),
inference(unit_resulting_resolution,[],[f27762,f41103,f41102,f41223]) ).
fof(f45319,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k2_relat_1(sK47)) = k2_relat_1(k5_relat_1(sK47,X0)) ),
inference(resolution,[],[f27762,f41103]) ).
fof(f45321,plain,
spl1308_21,
inference(avatar_contradiction_clause,[],[f45310]) ).
fof(f45326,plain,
( ~ r1_tarski(k2_funct_5(k9_relset_2(sK44,sK45,sK46,sK47,sK48)),k2_relat_1(sK48))
| spl1308_20 ),
inference(forward_demodulation,[],[f40518,f41205]) ).
fof(f45327,plain,
( ~ r1_tarski(k2_funct_5(k5_relat_1(sK47,sK48)),k2_relat_1(sK48))
| spl1308_20 ),
inference(forward_demodulation,[],[f45326,f41030]) ).
fof(f45328,plain,
( ~ r1_tarski(k2_relat_1(k5_relat_1(sK47,sK48)),k2_relat_1(sK48))
| spl1308_20 ),
inference(forward_demodulation,[],[f45327,f41206]) ).
fof(f45501,plain,
k2_relat_1(k5_relat_1(sK47,sK48)) = k9_relat_1(sK48,k2_relat_1(sK47)),
inference(resolution,[],[f45319,f41102]) ).
fof(f45511,plain,
( r1_tarski(k2_relat_1(k5_relat_1(sK47,sK48)),k2_funct_5(sK48))
| ~ r1_tarski(k2_relat_1(sK47),sK45) ),
inference(superposition,[],[f41119,f45501]) ).
fof(f45527,plain,
r1_tarski(k2_relat_1(k5_relat_1(sK47,sK48)),k2_funct_5(sK48)),
inference(forward_subsumption_resolution,[],[f45511,f41209]) ).
fof(f45535,plain,
r1_tarski(k2_relat_1(k5_relat_1(sK47,sK48)),k2_relat_1(sK48)),
inference(forward_demodulation,[],[f45527,f41205]) ).
fof(f45536,plain,
( $false
| spl1308_20 ),
inference(forward_subsumption_resolution,[],[f45535,f45328]) ).
fof(f45537,plain,
spl1308_20,
inference(avatar_contradiction_clause,[],[f45536]) ).
cnf(s10,plain,
( ~ spl1308_20
| ~ spl1308_21 ),
inference(sat_conversion,[],[f40522]) ).
cnf(s53,plain,
spl1308_21,
inference(sat_conversion,[],[f45321]) ).
cnf(s73,plain,
spl1308_20,
inference(sat_conversion,[],[f45537]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s10,s53,s73]) ).
fof(f45538,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU441+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 05:33:28 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 26.29/5.74 % (3059415)Detected formulas, will run a generic FOF schedule.
% 26.29/5.74 % (3059503)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=2125576173:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2986 on theBenchmark for (2986ds/134677Mi)
% 26.29/5.74 % (3059507)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2951819143:s2a=on:i=139:gtg=position_2986 on theBenchmark for (2986ds/139Mi)
% 26.29/5.74 % (3059504)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=2410302658:i=141695:sd=1:nm=32:gsp=on:ss=included_2986 on theBenchmark for (2986ds/141695Mi)
% 26.29/5.74 % (3059505)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=134794768:i=109:sd=1:ins=1:gsp=on:ss=axioms_2986 on theBenchmark for (2986ds/109Mi)
% 26.29/5.74 % (3059506)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1375002100:i=119:av=off:ss=axioms_2986 on theBenchmark for (2986ds/119Mi)
% 26.29/5.74 % (3059502)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=1887620324:i=141193_2986 on theBenchmark for (2986ds/141193Mi)
% 26.29/5.74 % (3059508)dis-21_1_sil=8000:lcm=predicate:random_seed=2214676751:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2986 on theBenchmark for (2986ds/129Mi)
% 26.29/5.74 % (3059507)Instruction limit reached!
% 26.29/5.74 % (3059507)------------------------------
% 26.29/5.74 % (3059507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.29/5.74 % (3059507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/5.74 % (3059507)CaDiCaL version: 2.1.3
% 26.29/5.74 % (3059507)Termination reason: Instruction limit
% 26.29/5.74 % (3059507)Termination phase: Property scanning
% 26.29/5.74 % (3059507)Time elapsed: 0.113 s
% 26.29/5.74 % (3059507)Peak memory usage: 112 MB
% 26.29/5.74 % (3059507)Instructions burned: 139 (million)
% 26.29/5.74 % (3059505)Instruction limit reached!
% 26.29/5.74 % (3059505)------------------------------
% 26.29/5.74 % (3059505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.29/5.74 % (3059505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/5.74 % (3059505)CaDiCaL version: 2.1.3
% 26.29/5.74 % (3059505)Termination reason: Instruction limit
% 26.29/5.74 % (3059505)Termination phase: SInE selection
% 26.29/5.74 % (3059505)Time elapsed: 0.118 s
% 26.29/5.74 % (3059505)Peak memory usage: 112 MB
% 26.29/5.74 % (3059505)Instructions burned: 109 (million)
% 26.29/5.74 % (3059506)Instruction limit reached!
% 26.29/5.74 % (3059506)------------------------------
% 26.29/5.74 % (3059506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.29/5.74 % (3059506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/5.74 % (3059506)CaDiCaL version: 2.1.3
% 26.29/5.74 % (3059506)Termination reason: Instruction limit
% 26.29/5.74 % (3059506)Termination phase: SInE selection
% 26.29/5.74 % (3059506)Time elapsed: 0.130 s
% 26.29/5.74 % (3059506)Peak memory usage: 112 MB
% 26.29/5.74 % (3059506)Instructions burned: 119 (million)
% 26.29/5.74 % (3059508)Instruction limit reached!
% 26.29/5.74 % (3059508)------------------------------
% 26.29/5.74 % (3059508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.29/5.74 % (3059508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/5.74 % (3059508)CaDiCaL version: 2.1.3
% 26.29/5.74 % (3059508)Termination reason: Instruction limit
% 26.29/5.74 % (3059508)Termination phase: SInE selection
% 26.29/5.74 % (3059508)Time elapsed: 0.128 s
% 26.29/5.74 % (3059508)Peak memory usage: 113 MB
% 26.29/5.74 % (3059508)Instructions burned: 130 (million)
% 26.29/5.74 % (3059520)lrs+10_1_sil=8000:sp=occurrence:random_seed=3997324119:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 26.29/5.74 % (3059521)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1201160655:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/157Mi)
% 26.29/5.74 % (3059524)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=2370080329:s2a=on:i=248:s2at=1.23:gtg=position_2982 on theBenchmark for (2982ds/248Mi)
% 26.29/5.74 % (3059522)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2243745566:i=325:sd=1:ss=axioms:sgt=32_2982 on theBenchmark for (2982ds/325Mi)
% 26.29/5.74 % (3059521)Instruction limit reached!
% 30.54/6.38 % (3059521)------------------------------
% 30.54/6.38 % (3059521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059521)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059521)Termination reason: Instruction limit
% 30.54/6.38 % (3059521)Termination phase: Property scanning
% 30.54/6.38 % (3059521)Time elapsed: 0.128 s
% 30.54/6.38 % (3059521)Peak memory usage: 112 MB
% 30.54/6.38 % (3059521)Instructions burned: 158 (million)
% 30.54/6.38 % (3059524)Instruction limit reached!
% 30.54/6.38 % (3059524)------------------------------
% 30.54/6.38 % (3059524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059524)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059524)Termination reason: Instruction limit
% 30.54/6.38 % (3059524)Termination phase: Property scanning
% 30.54/6.38 % (3059524)Time elapsed: 0.201 s
% 30.54/6.38 % (3059524)Peak memory usage: 112 MB
% 30.54/6.38 % (3059524)Instructions burned: 249 (million)
% 30.54/6.38 % (3059520)Instruction limit reached!
% 30.54/6.38 % (3059520)------------------------------
% 30.54/6.38 % (3059520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059520)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059520)Termination reason: Instruction limit
% 30.54/6.38 % (3059520)Termination phase: Saturation
% 30.54/6.38 % (3059520)Time elapsed: 0.314 s
% 30.54/6.38 % (3059520)Peak memory usage: 120 MB
% 30.54/6.38 % (3059520)Instructions burned: 286 (million)
% 30.54/6.38 % (3059522)Instruction limit reached!
% 30.54/6.38 % (3059522)------------------------------
% 30.54/6.38 % (3059522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059522)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059522)Termination reason: Instruction limit
% 30.54/6.38 % (3059522)Termination phase: Saturation
% 30.54/6.38 % (3059522)Time elapsed: 0.359 s
% 30.54/6.38 % (3059522)Peak memory usage: 120 MB
% 30.54/6.38 % (3059522)Instructions burned: 325 (million)
% 30.54/6.38 % (3059532)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=836601123:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2978 on theBenchmark for (2978ds/294Mi)
% 30.54/6.38 % (3059533)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1281970180:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 30.54/6.38 % (3059534)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3948547285:cts=off:i=113:fsr=off:ss=included:sgt=4_2977 on theBenchmark for (2977ds/113Mi)
% 30.54/6.38 % (3059534)Instruction limit reached!
% 30.54/6.38 % (3059534)------------------------------
% 30.54/6.38 % (3059534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059534)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059534)Termination reason: Instruction limit
% 30.54/6.38 % (3059534)Termination phase: SInE selection
% 30.54/6.38 % (3059534)Time elapsed: 0.134 s
% 30.54/6.38 % (3059534)Peak memory usage: 112 MB
% 30.54/6.38 % (3059534)Instructions burned: 113 (million)
% 30.54/6.38 % (3059535)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2466914901:i=127:av=off:fsr=off:sup=off_2976 on theBenchmark for (2976ds/127Mi)
% 30.54/6.38 % (3059532)Instruction limit reached!
% 30.54/6.38 % (3059532)------------------------------
% 30.54/6.38 % (3059532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059532)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059532)Termination reason: Instruction limit
% 30.54/6.38 % (3059532)Termination phase: Property scanning
% 30.54/6.38 % (3059532)Time elapsed: 0.319 s
% 30.54/6.38 % (3059532)Peak memory usage: 117 MB
% 30.54/6.38 % (3059532)Instructions burned: 295 (million)
% 30.54/6.38 % (3059535)Instruction limit reached!
% 30.54/6.38 % (3059535)------------------------------
% 30.54/6.38 % (3059535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059535)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059535)Termination reason: Instruction limit
% 30.54/6.38 % (3059535)Termination phase: Preprocessing 1
% 30.54/6.38 % (3059535)Time elapsed: 0.148 s
% 30.54/6.38 % (3059535)Peak memory usage: 113 MB
% 30.54/6.38 % (3059535)Instructions burned: 127 (million)
% 30.54/6.38 % (3059540)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1109766958:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2973 on theBenchmark for (2973ds/114Mi)
% 30.54/6.38 % (3059542)lrs+10_1_sil=8000:sp=occurrence:random_seed=3823639653:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2972 on theBenchmark for (2972ds/907Mi)
% 30.54/6.38 % (3059540)Instruction limit reached!
% 30.54/6.38 % (3059540)------------------------------
% 30.54/6.38 % (3059540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059540)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059540)Termination reason: Instruction limit
% 30.54/6.38 % (3059540)Termination phase: Property scanning
% 30.54/6.38 % (3059540)Time elapsed: 0.096 s
% 30.54/6.38 % (3059540)Peak memory usage: 112 MB
% 30.54/6.38 % (3059540)Instructions burned: 115 (million)
% 30.54/6.38 % (3059544)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1209377435:i=437:sd=1:aac=none:ss=included_2971 on theBenchmark for (2971ds/437Mi)
% 30.54/6.38 % (3059547)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1182866483:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 30.54/6.38 % (3059544)Instruction limit reached!
% 30.54/6.38 % (3059544)------------------------------
% 30.54/6.38 % (3059544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059544)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059544)Termination reason: Instruction limit
% 30.54/6.38 % (3059544)Termination phase: Saturation
% 30.54/6.38 % (3059544)Time elapsed: 0.483 s
% 30.54/6.38 % (3059544)Peak memory usage: 120 MB
% 30.54/6.38 % (3059544)Instructions burned: 437 (million)
% 30.54/6.38 % (3059542)Instruction limit reached!
% 30.54/6.38 % (3059542)------------------------------
% 30.54/6.38 % (3059542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059542)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059542)Termination reason: Instruction limit
% 30.54/6.38 % (3059542)Termination phase: Property scanning
% 30.54/6.38 % (3059542)Time elapsed: 0.922 s
% 30.54/6.38 % (3059542)Peak memory usage: 135 MB
% 30.54/6.38 % (3059542)Instructions burned: 908 (million)
% 30.54/6.38 % (3059550)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1263620599:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2963 on theBenchmark for (2963ds/134Mi)
% 30.54/6.38 % (3059550)Instruction limit reached!
% 30.54/6.38 % (3059550)------------------------------
% 30.54/6.38 % (3059550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059550)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059550)Termination reason: Instruction limit
% 30.54/6.38 % (3059550)Termination phase: NewCNF
% 30.54/6.38 % (3059550)Time elapsed: 0.177 s
% 30.54/6.38 % (3059550)Peak memory usage: 115 MB
% 30.54/6.38 % (3059550)Instructions burned: 134 (million)
% 30.54/6.38 % (3059552)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3888896496:st=8:i=592:sd=3:ep=RST:ss=axioms_2960 on theBenchmark for (2960ds/592Mi)
% 30.54/6.38 % (3059553)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1430168874:st=3:i=13193:sd=3:ss=axioms_2958 on theBenchmark for (2958ds/13193Mi)
% 30.54/6.38 % (3059533)Instruction limit reached!
% 30.54/6.38 % (3059533)------------------------------
% 30.54/6.38 % (3059533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059533)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059533)Termination reason: Instruction limit
% 30.54/6.38 % (3059533)Termination phase: Property scanning
% 30.54/6.38 % (3059533)Time elapsed: 2.211 s
% 30.54/6.38 % (3059533)Peak memory usage: 171 MB
% 30.54/6.38 % (3059533)Instructions burned: 2351 (million)
% 30.54/6.38 % (3059552)Instruction limit reached!
% 30.54/6.38 % (3059552)------------------------------
% 30.54/6.38 % (3059552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059552)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059552)Termination reason: Instruction limit
% 30.54/6.38 % (3059552)Termination phase: Preprocessing 3
% 30.54/6.38 % (3059552)Time elapsed: 0.694 s
% 30.54/6.38 % (3059552)Peak memory usage: 134 MB
% 30.54/6.38 % (3059552)Instructions burned: 592 (million)
% 30.54/6.38 % (3059560)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=2259154823:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/125Mi)
% 30.54/6.38 % (3059560)Instruction limit reached!
% 30.54/6.38 % (3059560)------------------------------
% 30.54/6.38 % (3059560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059560)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059560)Termination reason: Instruction limit
% 30.54/6.38 % (3059560)Termination phase: Property scanning
% 30.54/6.38 % (3059560)Time elapsed: 0.091 s
% 30.54/6.38 % (3059560)Peak memory usage: 112 MB
% 30.54/6.38 % (3059560)Instructions burned: 125 (million)
% 30.54/6.38 % (3059561)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3056816057:i=134:gtgl=5:slsql=off:gtg=exists_sym_2951 on theBenchmark for (2951ds/134Mi)
% 30.54/6.38 % (3059503)First to succeed.
% 30.54/6.38 % (3059503)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3059415"
% 30.54/6.38 % (3059561)Instruction limit reached!
% 30.54/6.38 % (3059561)------------------------------
% 30.54/6.38 % (3059561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (3059561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (3059561)CaDiCaL version: 2.1.3
% 30.54/6.38 % (3059561)Termination reason: Instruction limit
% 30.54/6.38 % (3059561)Termination phase: Property scanning
% 30.54/6.38 % (3059561)Time elapsed: 0.074 s
% 30.54/6.38 % (3059561)Peak memory usage: 113 MB
% 30.54/6.38 % (3059561)Instructions burned: 135 (million)
% 30.54/6.38 % (3059563)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1291215428:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2949 on theBenchmark for (2949ds/141Mi)
% 30.54/6.38 % (3059503)Refutation found. Thanks to Tanya!
% 30.54/6.38 % SZS status Theorem for theBenchmark
% 30.54/6.38 % SZS output start Proof for theBenchmark
% See solution above
% 31.47/6.76 % (3059503)------------------------------
% 31.47/6.76 % (3059503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.47/6.76 % (3059503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.47/6.76 % (3059503)CaDiCaL version: 2.1.3
% 31.47/6.76 % (3059503)Termination reason: Refutation
% 31.47/6.76 % (3059503)Time elapsed: 3.682 s
% 31.47/6.76 % (3059503)Peak memory usage: 297 MB
% 31.47/6.76 % (3059503)Instructions burned: 6652 (million)
% 31.47/6.76 % (3059503)------------------------------
% 31.47/6.76 % (3059503)------------------------------
% 31.47/6.76 % (3059415)Success in time 5.517 s
% 31.47/6.76 % Vampire exiting
%------------------------------------------------------------------------------