%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU446+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:49:09 PM UTC 2026
% Result : Theorem 7.89s 3.74s
% Output : Refutation 13.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 168 ( 22 unt; 15 def)
% Number of atoms : 413 ( 86 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 447 ( 202 ~; 199 |; 16 &)
% ( 16 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-5 aty)
% Number of variables : 143 ( 0 sgn 140 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1358,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k5_relset_1(X0,X1,X2)
& k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_1) ).
fof(f1372,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k10_relset_1(X0,X1,X2,X0) = k5_relset_1(X0,X1,X2)
& k11_relset_1(X0,X1,X2,X1) = k4_relset_1(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_relset_1) ).
fof(f1373,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X1,X0,X2,k11_relset_1(X1,X0,X2,X0)) = k5_relset_1(X1,X0,X2)
& k11_relset_1(X1,X0,X2,k10_relset_1(X1,X0,X2,X1)) = k4_relset_1(X1,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1409,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1411,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_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/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
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/sandbox2/benchmark/theBenchmark.p',dt_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/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f19124,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',t53_relset_2) ).
fof(f19127,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)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f19129,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_relset_2) ).
fof(f19130,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
inference(negated_conjecture,[status(cth)],[f19129]) ).
fof(f19218,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(f19219,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,[],[f19218]) ).
fof(f19282,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(f19284,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,[],[f19124]) ).
fof(f19287,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f19127]) ).
fof(f19289,plain,
? [X0,X1,X2] :
( k10_relset_1(X0,X1,X2,X0) != k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1)
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f19130]) ).
fof(f19320,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(f19643,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(f19702,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X1,X0,X2,k11_relset_1(X1,X0,X2,X0)) = k5_relset_1(X1,X0,X2)
& k11_relset_1(X1,X0,X2,k10_relset_1(X1,X0,X2,X1)) = k4_relset_1(X1,X0,X2) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f1373]) ).
fof(f19703,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X0,X1,X2,X0) = k5_relset_1(X0,X1,X2)
& k11_relset_1(X0,X1,X2,X1) = k4_relset_1(X0,X1,X2) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1372]) ).
fof(f19981,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1411]) ).
fof(f19983,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1409]) ).
fof(f19984,plain,
! [X0,X1,X2] :
( ( k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k5_relset_1(X0,X1,X2)
& k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1358]) ).
fof(f20009,plain,
( k10_relset_1(sK8,sK9,sK10,sK8) != k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9)
& m2_relset_1(sK10,sK8,sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f19289]) ).
fof(f20020,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(f20281,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f19219]) ).
fof(f20362,plain,
! [X2,X0,X1] :
( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f19282]) ).
fof(f20367,plain,
! [X2,X3,X0,X1,X4] :
( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
| ~ m2_relset_1(X4,X1,X2)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f19284]) ).
fof(f20373,plain,
! [X2,X0,X1] :
( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f19287]) ).
fof(f20375,plain,
m2_relset_1(sK10,sK8,sK9),
inference(cnf_transformation,[],[f20009]) ).
fof(f20376,plain,
k10_relset_1(sK8,sK9,sK10,sK8) != k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9),
inference(cnf_transformation,[],[f20009]) ).
fof(f20431,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f20020]) ).
fof(f20437,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,[],[f19320]) ).
fof(f20904,plain,
! [X2,X3,X0,X1] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19643]) ).
fof(f21041,plain,
! [X2,X0,X1] :
( k5_relset_1(X1,X0,X2) = k10_relset_1(X1,X0,X2,k11_relset_1(X1,X0,X2,X0))
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f19702]) ).
fof(f21042,plain,
! [X2,X0,X1] :
( k4_relset_1(X0,X1,X2) = k11_relset_1(X0,X1,X2,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19703]) ).
fof(f21043,plain,
! [X2,X0,X1] :
( k5_relset_1(X0,X1,X2) = k10_relset_1(X0,X1,X2,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19703]) ).
fof(f21462,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19981]) ).
fof(f21464,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19983]) ).
fof(f21465,plain,
! [X2,X0,X1] :
( k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19984]) ).
fof(f21995,definition,
( spl337_1
<=> k10_relset_1(sK8,sK9,sK10,sK8) = k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9) ),
introduced(definition,[new_symbols(definition,[spl337_1])],[avatar_definition]) ).
fof(f21997,plain,
( k10_relset_1(sK8,sK9,sK10,sK8) != k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9)
| spl337_1 ),
inference(avatar_component_clause,[],[f21995]) ).
fof(f21998,plain,
~ spl337_1,
inference(avatar_split_clause,[],[f20376,f21995]) ).
fof(f22000,definition,
( spl337_2
<=> m2_relset_1(sK10,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl337_2])],[avatar_definition]) ).
fof(f22002,plain,
( m2_relset_1(sK10,sK8,sK9)
| ~ spl337_2 ),
inference(avatar_component_clause,[],[f22000]) ).
fof(f22003,plain,
spl337_2,
inference(avatar_split_clause,[],[f20375,f22000]) ).
fof(f22010,plain,
( k10_relset_1(sK8,sK9,sK10,sK8) = k2_funct_5(sK10)
| ~ spl337_2 ),
inference(resolution,[],[f22002,f20362]) ).
fof(f22025,plain,
( k1_funct_5(sK10) = k10_relset_1(sK9,sK8,k6_relset_1(sK8,sK9,sK10),sK9)
| ~ spl337_2 ),
inference(resolution,[],[f22002,f20373]) ).
fof(f22027,plain,
( m1_relset_1(sK10,sK8,sK9)
| ~ spl337_2 ),
inference(resolution,[],[f22002,f20431]) ).
fof(f22028,plain,
( m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ spl337_2 ),
inference(resolution,[],[f22002,f20437]) ).
fof(f22059,plain,
( k4_relset_1(sK8,sK9,sK10) = k11_relset_1(sK8,sK9,sK10,sK9)
| ~ spl337_2 ),
inference(resolution,[],[f22002,f21042]) ).
fof(f22060,plain,
( k10_relset_1(sK8,sK9,sK10,sK8) = k5_relset_1(sK8,sK9,sK10)
| ~ spl337_2 ),
inference(resolution,[],[f22002,f21043]) ).
fof(f22074,plain,
( k4_relset_1(sK8,sK9,sK10) = k5_relset_1(sK9,sK8,k6_relset_1(sK8,sK9,sK10))
| ~ spl337_2 ),
inference(resolution,[],[f22002,f21465]) ).
fof(f22097,plain,
( k10_relset_1(sK8,sK9,sK10,sK8) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10))
| ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9,sK9)
| spl337_1 ),
inference(superposition,[],[f21997,f20362]) ).
fof(f22100,plain,
( k5_relset_1(sK8,sK9,sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10))
| ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9,sK9)
| spl337_1
| ~ spl337_2 ),
inference(forward_demodulation,[],[f22097,f22060]) ).
fof(f22131,definition,
( spl337_6
<=> m1_subset_1(k6_relset_1(sK8,sK9,sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8))) ),
introduced(definition,[new_symbols(definition,[spl337_6])],[avatar_definition]) ).
fof(f22132,plain,
( m1_subset_1(k6_relset_1(sK8,sK9,sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ spl337_6 ),
inference(avatar_component_clause,[],[f22131]) ).
fof(f22133,plain,
( ~ m1_subset_1(k6_relset_1(sK8,sK9,sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| spl337_6 ),
inference(avatar_component_clause,[],[f22131]) ).
fof(f22139,plain,
( ~ m2_relset_1(k6_relset_1(sK8,sK9,sK10),sK9,sK8)
| spl337_6 ),
inference(resolution,[],[f22133,f20437]) ).
fof(f22165,definition,
( spl337_8
<=> m2_relset_1(k6_relset_1(sK8,sK9,sK10),sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl337_8])],[avatar_definition]) ).
fof(f22166,plain,
( m2_relset_1(k6_relset_1(sK8,sK9,sK10),sK9,sK8)
| ~ spl337_8 ),
inference(avatar_component_clause,[],[f22165]) ).
fof(f22167,plain,
( ~ m2_relset_1(k6_relset_1(sK8,sK9,sK10),sK9,sK8)
| spl337_8 ),
inference(avatar_component_clause,[],[f22165]) ).
fof(f22168,plain,
( ~ spl337_8
| spl337_6 ),
inference(avatar_split_clause,[],[f22139,f22131,f22165]) ).
fof(f22169,plain,
( ~ m1_relset_1(sK10,sK8,sK9)
| spl337_8 ),
inference(resolution,[],[f22167,f21464]) ).
fof(f22190,plain,
( $false
| ~ spl337_2
| spl337_8 ),
inference(forward_subsumption_resolution,[],[f22169,f22027]) ).
fof(f22191,plain,
( ~ spl337_2
| spl337_8 ),
inference(avatar_contradiction_clause,[],[f22190]) ).
fof(f22198,plain,
( k10_relset_1(sK9,sK8,k6_relset_1(sK8,sK9,sK10),sK9) = k2_funct_5(k6_relset_1(sK8,sK9,sK10))
| ~ spl337_8 ),
inference(resolution,[],[f22166,f20362]) ).
fof(f22248,plain,
( k10_relset_1(sK9,sK8,k6_relset_1(sK8,sK9,sK10),sK9) = k5_relset_1(sK9,sK8,k6_relset_1(sK8,sK9,sK10))
| ~ spl337_8 ),
inference(resolution,[],[f22166,f21043]) ).
fof(f22279,plain,
( m2_relset_1(k4_relat_1(sK10),sK9,sK8)
| ~ m1_relset_1(sK10,sK8,sK9)
| ~ spl337_8 ),
inference(superposition,[],[f22166,f21462]) ).
fof(f22280,plain,
( m2_relset_1(k4_relat_1(sK10),sK9,sK8)
| ~ spl337_2
| ~ spl337_8 ),
inference(forward_subsumption_resolution,[],[f22279,f22027]) ).
fof(f22283,plain,
( k10_relset_1(sK9,sK8,k6_relset_1(sK8,sK9,sK10),sK9) = k4_relset_1(sK8,sK9,sK10)
| ~ spl337_2
| ~ spl337_8 ),
inference(forward_demodulation,[],[f22248,f22074]) ).
fof(f22288,plain,
( k1_funct_5(sK10) = k2_funct_5(k6_relset_1(sK8,sK9,sK10))
| ~ spl337_2
| ~ spl337_8 ),
inference(forward_demodulation,[],[f22198,f22025]) ).
fof(f22289,plain,
( k1_funct_5(sK10) = k4_relset_1(sK8,sK9,sK10)
| ~ spl337_2
| ~ spl337_8 ),
inference(forward_demodulation,[],[f22283,f22025]) ).
fof(f22571,plain,
( m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ m1_relset_1(sK10,sK8,sK9)
| ~ spl337_6 ),
inference(superposition,[],[f22132,f21462]) ).
fof(f22588,plain,
( m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ spl337_2
| ~ spl337_6 ),
inference(forward_subsumption_resolution,[],[f22571,f22027]) ).
fof(f22698,definition,
( spl337_11
<=> k1_funct_5(sK10) = k2_funct_5(k6_relset_1(sK8,sK9,sK10)) ),
introduced(definition,[new_symbols(definition,[spl337_11])],[avatar_definition]) ).
fof(f22700,plain,
( k1_funct_5(sK10) = k2_funct_5(k6_relset_1(sK8,sK9,sK10))
| ~ spl337_11 ),
inference(avatar_component_clause,[],[f22698]) ).
fof(f22701,plain,
( spl337_11
| ~ spl337_2
| ~ spl337_8 ),
inference(avatar_split_clause,[],[f22288,f22165,f22000,f22698]) ).
fof(f22707,plain,
( k1_funct_5(sK10) = k2_funct_5(k4_relat_1(sK10))
| ~ m1_relset_1(sK10,sK8,sK9)
| ~ spl337_11 ),
inference(superposition,[],[f22700,f21462]) ).
fof(f22751,plain,
( k1_funct_5(sK10) = k2_funct_5(k4_relat_1(sK10))
| ~ spl337_2
| ~ spl337_11 ),
inference(forward_subsumption_resolution,[],[f22707,f22027]) ).
fof(f22753,definition,
( spl337_13
<=> m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8))) ),
introduced(definition,[new_symbols(definition,[spl337_13])],[avatar_definition]) ).
fof(f22755,plain,
( m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ spl337_13 ),
inference(avatar_component_clause,[],[f22753]) ).
fof(f22756,plain,
( spl337_13
| ~ spl337_2
| ~ spl337_6 ),
inference(avatar_split_clause,[],[f22588,f22131,f22000,f22753]) ).
fof(f22848,definition,
( spl337_16
<=> m1_relset_1(sK10,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl337_16])],[avatar_definition]) ).
fof(f22850,plain,
( m1_relset_1(sK10,sK8,sK9)
| ~ spl337_16 ),
inference(avatar_component_clause,[],[f22848]) ).
fof(f22851,plain,
( spl337_16
| ~ spl337_2 ),
inference(avatar_split_clause,[],[f22027,f22000,f22848]) ).
fof(f22853,definition,
( spl337_17
<=> k10_relset_1(sK8,sK9,sK10,sK8) = k2_funct_5(sK10) ),
introduced(definition,[new_symbols(definition,[spl337_17])],[avatar_definition]) ).
fof(f22855,plain,
( k10_relset_1(sK8,sK9,sK10,sK8) = k2_funct_5(sK10)
| ~ spl337_17 ),
inference(avatar_component_clause,[],[f22853]) ).
fof(f22856,plain,
( spl337_17
| ~ spl337_2 ),
inference(avatar_split_clause,[],[f22010,f22000,f22853]) ).
fof(f22859,plain,
( k2_funct_5(sK10) = k5_relset_1(sK8,sK9,sK10)
| ~ m2_relset_1(sK10,sK8,sK9)
| ~ spl337_17 ),
inference(superposition,[],[f21043,f22855]) ).
fof(f22877,plain,
( k2_funct_5(sK10) = k5_relset_1(sK8,sK9,sK10)
| ~ spl337_2
| ~ spl337_17 ),
inference(forward_subsumption_resolution,[],[f22859,f22002]) ).
fof(f22882,definition,
( spl337_18
<=> k1_funct_5(sK10) = k2_funct_5(k4_relat_1(sK10)) ),
introduced(definition,[new_symbols(definition,[spl337_18])],[avatar_definition]) ).
fof(f22884,plain,
( k1_funct_5(sK10) = k2_funct_5(k4_relat_1(sK10))
| ~ spl337_18 ),
inference(avatar_component_clause,[],[f22882]) ).
fof(f22885,plain,
( spl337_18
| ~ spl337_2
| ~ spl337_11 ),
inference(avatar_split_clause,[],[f22751,f22698,f22000,f22882]) ).
fof(f22895,plain,
( ! [X0] : k10_relset_1(sK8,sK9,sK10,X0) = k9_relat_1(sK10,X0)
| ~ spl337_16 ),
inference(resolution,[],[f22850,f20904]) ).
fof(f22899,plain,
( k6_relset_1(sK8,sK9,sK10) = k4_relat_1(sK10)
| ~ spl337_16 ),
inference(resolution,[],[f22850,f21462]) ).
fof(f22904,definition,
( spl337_20
<=> ! [X0] : k10_relset_1(sK8,sK9,sK10,X0) = k9_relat_1(sK10,X0) ),
introduced(definition,[new_symbols(definition,[spl337_20])],[avatar_definition]) ).
fof(f22905,plain,
( ! [X0] : k10_relset_1(sK8,sK9,sK10,X0) = k9_relat_1(sK10,X0)
| ~ spl337_20 ),
inference(avatar_component_clause,[],[f22904]) ).
fof(f22906,plain,
( spl337_20
| ~ spl337_16 ),
inference(avatar_split_clause,[],[f22895,f22848,f22904]) ).
fof(f22923,plain,
( k5_relset_1(sK8,sK9,sK10) = k9_relat_1(sK10,k11_relset_1(sK8,sK9,sK10,sK9))
| ~ m2_relset_1(sK10,sK8,sK9)
| ~ spl337_20 ),
inference(superposition,[],[f21041,f22905]) ).
fof(f22924,plain,
( k5_relset_1(sK8,sK9,sK10) = k9_relat_1(sK10,k11_relset_1(sK8,sK9,sK10,sK9))
| ~ spl337_2
| ~ spl337_20 ),
inference(forward_subsumption_resolution,[],[f22923,f22002]) ).
fof(f22937,plain,
( k5_relset_1(sK8,sK9,sK10) = k9_relat_1(sK10,k4_relset_1(sK8,sK9,sK10))
| ~ spl337_2
| ~ spl337_20 ),
inference(forward_demodulation,[],[f22924,f22059]) ).
fof(f22942,plain,
( k5_relset_1(sK8,sK9,sK10) = k9_relat_1(sK10,k1_funct_5(sK10))
| ~ spl337_2
| ~ spl337_8
| ~ spl337_20 ),
inference(forward_demodulation,[],[f22937,f22289]) ).
fof(f22945,plain,
( k2_funct_5(sK10) = k9_relat_1(sK10,k1_funct_5(sK10))
| ~ spl337_2
| ~ spl337_8
| ~ spl337_17
| ~ spl337_20 ),
inference(forward_demodulation,[],[f22942,f22877]) ).
fof(f22949,definition,
( spl337_21
<=> k6_relset_1(sK8,sK9,sK10) = k4_relat_1(sK10) ),
introduced(definition,[new_symbols(definition,[spl337_21])],[avatar_definition]) ).
fof(f22951,plain,
( k6_relset_1(sK8,sK9,sK10) = k4_relat_1(sK10)
| ~ spl337_21 ),
inference(avatar_component_clause,[],[f22949]) ).
fof(f22952,plain,
( spl337_21
| ~ spl337_16 ),
inference(avatar_split_clause,[],[f22899,f22848,f22949]) ).
fof(f22990,definition,
( spl337_22
<=> m2_relset_1(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9,sK9) ),
introduced(definition,[new_symbols(definition,[spl337_22])],[avatar_definition]) ).
fof(f22992,plain,
( ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10),sK9,sK9)
| spl337_22 ),
inference(avatar_component_clause,[],[f22990]) ).
fof(f22994,definition,
( spl337_23
<=> k5_relset_1(sK8,sK9,sK10) = k2_funct_5(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10)) ),
introduced(definition,[new_symbols(definition,[spl337_23])],[avatar_definition]) ).
fof(f22996,plain,
( k5_relset_1(sK8,sK9,sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,k6_relset_1(sK8,sK9,sK10),sK10))
| spl337_23 ),
inference(avatar_component_clause,[],[f22994]) ).
fof(f22997,plain,
( ~ spl337_22
| ~ spl337_23
| spl337_1
| ~ spl337_2 ),
inference(avatar_split_clause,[],[f22100,f22000,f21995,f22994,f22990]) ).
fof(f22998,plain,
( ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,k4_relat_1(sK10),sK10),sK9,sK9)
| ~ spl337_21
| spl337_22 ),
inference(forward_demodulation,[],[f22992,f22951]) ).
fof(f23000,definition,
( spl337_24
<=> m2_relset_1(k9_relset_2(sK9,sK8,sK9,k4_relat_1(sK10),sK10),sK9,sK9) ),
introduced(definition,[new_symbols(definition,[spl337_24])],[avatar_definition]) ).
fof(f23002,plain,
( ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,k4_relat_1(sK10),sK10),sK9,sK9)
| spl337_24 ),
inference(avatar_component_clause,[],[f23000]) ).
fof(f23003,plain,
( ~ spl337_24
| ~ spl337_21
| spl337_22 ),
inference(avatar_split_clause,[],[f22998,f22990,f22949,f23000]) ).
fof(f23004,plain,
( ~ m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl337_24 ),
inference(resolution,[],[f23002,f20281]) ).
fof(f23028,plain,
( ~ m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ spl337_13
| spl337_24 ),
inference(forward_subsumption_resolution,[],[f23004,f22755]) ).
fof(f23030,plain,
( $false
| ~ spl337_2
| ~ spl337_13
| spl337_24 ),
inference(forward_subsumption_resolution,[],[f23028,f22028]) ).
fof(f23031,plain,
( ~ spl337_2
| ~ spl337_13
| spl337_24 ),
inference(avatar_contradiction_clause,[],[f23030]) ).
fof(f23033,plain,
( k5_relset_1(sK8,sK9,sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,k4_relat_1(sK10),sK10))
| ~ spl337_21
| spl337_23 ),
inference(forward_demodulation,[],[f22996,f22951]) ).
fof(f23036,plain,
( k2_funct_5(sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,k4_relat_1(sK10),sK10))
| ~ spl337_2
| ~ spl337_17
| ~ spl337_21
| spl337_23 ),
inference(forward_demodulation,[],[f23033,f22877]) ).
fof(f23040,definition,
( spl337_25
<=> k2_funct_5(sK10) = k2_funct_5(k9_relset_2(sK9,sK8,sK9,k4_relat_1(sK10),sK10)) ),
introduced(definition,[new_symbols(definition,[spl337_25])],[avatar_definition]) ).
fof(f23042,plain,
( k2_funct_5(sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,k4_relat_1(sK10),sK10))
| spl337_25 ),
inference(avatar_component_clause,[],[f23040]) ).
fof(f23043,plain,
( ~ spl337_25
| ~ spl337_2
| ~ spl337_17
| ~ spl337_21
| spl337_23 ),
inference(avatar_split_clause,[],[f23036,f22994,f22949,f22853,f22000,f23040]) ).
fof(f23198,plain,
( k2_funct_5(sK10) != k10_relset_1(sK8,sK9,sK10,k2_funct_5(k4_relat_1(sK10)))
| ~ m2_relset_1(sK10,sK8,sK9)
| ~ m2_relset_1(k4_relat_1(sK10),sK9,sK8)
| spl337_25 ),
inference(superposition,[],[f23042,f20367]) ).
fof(f23205,plain,
( k2_funct_5(sK10) != k10_relset_1(sK8,sK9,sK10,k2_funct_5(k4_relat_1(sK10)))
| ~ m2_relset_1(k4_relat_1(sK10),sK9,sK8)
| ~ spl337_2
| spl337_25 ),
inference(forward_subsumption_resolution,[],[f23198,f22002]) ).
fof(f23206,plain,
( k2_funct_5(sK10) != k10_relset_1(sK8,sK9,sK10,k2_funct_5(k4_relat_1(sK10)))
| ~ spl337_2
| ~ spl337_8
| spl337_25 ),
inference(forward_subsumption_resolution,[],[f23205,f22280]) ).
fof(f23207,plain,
( k2_funct_5(sK10) != k9_relat_1(sK10,k2_funct_5(k4_relat_1(sK10)))
| ~ spl337_2
| ~ spl337_8
| ~ spl337_20
| spl337_25 ),
inference(forward_demodulation,[],[f23206,f22905]) ).
fof(f23208,plain,
( k2_funct_5(sK10) != k9_relat_1(sK10,k1_funct_5(sK10))
| ~ spl337_2
| ~ spl337_8
| ~ spl337_18
| ~ spl337_20
| spl337_25 ),
inference(forward_demodulation,[],[f23207,f22884]) ).
fof(f23209,plain,
( $false
| ~ spl337_2
| ~ spl337_8
| ~ spl337_17
| ~ spl337_18
| ~ spl337_20
| spl337_25 ),
inference(forward_subsumption_resolution,[],[f23208,f22945]) ).
fof(f23210,plain,
( ~ spl337_2
| ~ spl337_8
| ~ spl337_17
| ~ spl337_18
| ~ spl337_20
| spl337_25 ),
inference(avatar_contradiction_clause,[],[f23209]) ).
cnf(s1,plain,
~ spl337_1,
inference(sat_conversion,[],[f21998]) ).
cnf(s2,plain,
spl337_2,
inference(sat_conversion,[],[f22003]) ).
cnf(s7,plain,
( spl337_6
| ~ spl337_8 ),
inference(sat_conversion,[],[f22168]) ).
cnf(s8,plain,
( ~ spl337_2
| spl337_8 ),
inference(sat_conversion,[],[f22191]) ).
cnf(s11,plain,
( ~ spl337_2
| ~ spl337_8
| spl337_11 ),
inference(sat_conversion,[],[f22701]) ).
cnf(s13,plain,
( ~ spl337_2
| ~ spl337_6
| spl337_13 ),
inference(sat_conversion,[],[f22756]) ).
cnf(s16,plain,
( ~ spl337_2
| spl337_16 ),
inference(sat_conversion,[],[f22851]) ).
cnf(s17,plain,
( ~ spl337_2
| spl337_17 ),
inference(sat_conversion,[],[f22856]) ).
cnf(s18,plain,
( ~ spl337_2
| ~ spl337_11
| spl337_18 ),
inference(sat_conversion,[],[f22885]) ).
cnf(s20,plain,
( ~ spl337_16
| spl337_20 ),
inference(sat_conversion,[],[f22906]) ).
cnf(s21,plain,
( ~ spl337_16
| spl337_21 ),
inference(sat_conversion,[],[f22952]) ).
cnf(s22,plain,
( spl337_1
| ~ spl337_2
| ~ spl337_22
| ~ spl337_23 ),
inference(sat_conversion,[],[f22997]) ).
cnf(s23,plain,
( ~ spl337_21
| spl337_22
| ~ spl337_24 ),
inference(sat_conversion,[],[f23003]) ).
cnf(s24,plain,
( ~ spl337_2
| ~ spl337_13
| spl337_24 ),
inference(sat_conversion,[],[f23031]) ).
cnf(s25,plain,
( ~ spl337_2
| ~ spl337_17
| ~ spl337_21
| spl337_23
| ~ spl337_25 ),
inference(sat_conversion,[],[f23043]) ).
cnf(s29,plain,
( ~ spl337_2
| ~ spl337_8
| ~ spl337_17
| ~ spl337_18
| ~ spl337_20
| spl337_25 ),
inference(sat_conversion,[],[f23210]) ).
cnf(s30,plain,
spl337_17,
inference(rat,[],[s17,s2]) ).
cnf(s31,plain,
spl337_16,
inference(rat,[],[s16,s2]) ).
cnf(s33,plain,
spl337_8,
inference(rat,[],[s8,s2]) ).
cnf(s36,plain,
spl337_21,
inference(rat,[],[s21,s31]) ).
cnf(s37,plain,
spl337_20,
inference(rat,[],[s20,s31]) ).
cnf(s40,plain,
spl337_11,
inference(rat,[],[s11,s2,s33]) ).
cnf(s42,plain,
spl337_6,
inference(rat,[],[s7,s33]) ).
cnf(s44,plain,
spl337_18,
inference(rat,[],[s18,s2,s40]) ).
cnf(s45,plain,
spl337_13,
inference(rat,[],[s13,s2,s42]) ).
cnf(s46,plain,
spl337_25,
inference(rat,[],[s29,s33,s37,s30,s2,s44]) ).
cnf(s47,plain,
spl337_24,
inference(rat,[],[s24,s2,s45]) ).
cnf(s48,plain,
spl337_23,
inference(rat,[],[s25,s36,s30,s2,s46]) ).
cnf(s50,plain,
spl337_22,
inference(rat,[],[s23,s36,s47]) ).
cnf(s51,plain,
spl337_1,
inference(rat,[],[s22,s48,s2,s50]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s1,s51]) ).
fof(f23211,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU446+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.47 % Computer : n011.cluster.edu
% 0.12/0.47 % Model : x86_64 x86_64
% 0.12/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.47 % Memory : 8046.5625MB
% 0.12/0.47 % OS : Linux 6.8.0-71-generic
% 0.12/0.47 % CPULimit : 300
% 0.12/0.47 % WCLimit : 300
% 0.12/0.47 % DateTime : Mon Sep 28 05:34:07 UTC 2026
% 0.12/0.47 % CPUTime :
% 0.12/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.51 Running first-order theorem proving
% 0.12/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.89/3.74 % (3097162)Detected formulas, will run a generic FOF schedule.
% 7.89/3.74 % (3097168)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=3934356021:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 7.89/3.74 % (3097171)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1484408507:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 7.89/3.74 % (3097169)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=904992548:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 7.89/3.74 % (3097170)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=2543691475:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 7.89/3.74 % (3097174)dis-21_1_sil=8000:lcm=predicate:random_seed=4053871949:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 7.89/3.74 % (3097172)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2451199530:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 7.89/3.74 % (3097173)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3781495594:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 7.89/3.74 % (3097173)Instruction limit reached!
% 7.89/3.74 % (3097173)------------------------------
% 7.89/3.74 % (3097173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097173)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097173)Termination reason: Instruction limit
% 7.89/3.74 % (3097173)Termination phase: Property scanning
% 7.89/3.74 % (3097173)Time elapsed: 0.061 s
% 7.89/3.74 % (3097173)Peak memory usage: 112 MB
% 7.89/3.74 % (3097173)Instructions burned: 141 (million)
% 7.89/3.74 % (3097171)Instruction limit reached!
% 7.89/3.74 % (3097171)------------------------------
% 7.89/3.74 % (3097171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097171)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097171)Termination reason: Instruction limit
% 7.89/3.74 % (3097171)Termination phase: SInE selection
% 7.89/3.74 % (3097171)Time elapsed: 0.085 s
% 7.89/3.74 % (3097171)Peak memory usage: 112 MB
% 7.89/3.74 % (3097171)Instructions burned: 109 (million)
% 7.89/3.74 % (3097174)Instruction limit reached!
% 7.89/3.74 % (3097174)------------------------------
% 7.89/3.74 % (3097174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097174)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097174)Termination reason: Instruction limit
% 7.89/3.74 % (3097174)Termination phase: SInE selection
% 7.89/3.74 % (3097174)Time elapsed: 0.087 s
% 7.89/3.74 % (3097174)Peak memory usage: 112 MB
% 7.89/3.74 % (3097174)Instructions burned: 129 (million)
% 7.89/3.74 % (3097172)Instruction limit reached!
% 7.89/3.74 % (3097172)------------------------------
% 7.89/3.74 % (3097172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097172)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097172)Termination reason: Instruction limit
% 7.89/3.74 % (3097172)Termination phase: Preprocessing 1
% 7.89/3.74 % (3097172)Time elapsed: 0.103 s
% 7.89/3.74 % (3097172)Peak memory usage: 113 MB
% 7.89/3.74 % (3097172)Instructions burned: 119 (million)
% 7.89/3.74 % (3097182)lrs+10_1_sil=8000:sp=occurrence:random_seed=4225626170:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 7.89/3.74 % (3097183)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3106713318:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 7.89/3.74 % (3097184)lrs+1011_1_sil=32000:sp=occurrence:random_seed=312730709:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 7.89/3.74 % (3097185)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=1314972865:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 7.89/3.74 % (3097183)Instruction limit reached!
% 7.89/3.74 % (3097183)------------------------------
% 7.89/3.74 % (3097183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097183)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097183)Termination reason: Instruction limit
% 7.89/3.74 % (3097183)Termination phase: Property scanning
% 7.89/3.74 % (3097183)Time elapsed: 0.069 s
% 7.89/3.74 % (3097183)Peak memory usage: 112 MB
% 7.89/3.74 % (3097183)Instructions burned: 158 (million)
% 7.89/3.74 % (3097184)Refutation not found, incomplete strategy
% 7.89/3.74 % (3097184)------------------------------
% 7.89/3.74 % (3097184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097184)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097184)Termination reason: Refutation not found, incomplete strategy
% 7.89/3.74 % (3097184)Time elapsed: 0.109 s
% 7.89/3.74 % (3097184)Peak memory usage: 118 MB
% 7.89/3.74 % (3097184)Instructions burned: 123 (million)
% 7.89/3.74 % (3097185)Instruction limit reached!
% 7.89/3.74 % (3097185)------------------------------
% 7.89/3.74 % (3097185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097185)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097185)Termination reason: Instruction limit
% 7.89/3.74 % (3097185)Termination phase: Property scanning
% 7.89/3.74 % (3097185)Time elapsed: 0.108 s
% 7.89/3.74 % (3097185)Peak memory usage: 112 MB
% 7.89/3.74 % (3097185)Instructions burned: 249 (million)
% 7.89/3.74 % (3097182)Instruction limit reached!
% 7.89/3.74 % (3097182)------------------------------
% 7.89/3.74 % (3097182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097182)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097182)Termination reason: Instruction limit
% 7.89/3.74 % (3097182)Termination phase: Saturation
% 7.89/3.74 % (3097182)Time elapsed: 0.201 s
% 7.89/3.74 % (3097182)Peak memory usage: 120 MB
% 7.89/3.74 % (3097182)Instructions burned: 285 (million)
% 7.89/3.74 % (3097190)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3127260465:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 7.89/3.74 % (3097191)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3107584156:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 7.89/3.74 % (3097192)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1239820259:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 7.89/3.74 % (3097184)------------------------------
% 7.89/3.74 % (3097184)------------------------------
% 7.89/3.74 % (3097192)Instruction limit reached!
% 7.89/3.74 % (3097192)------------------------------
% 7.89/3.74 % (3097192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097192)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097192)Termination reason: Instruction limit
% 7.89/3.74 % (3097192)Termination phase: SInE selection
% 7.89/3.74 % (3097192)Time elapsed: 0.089 s
% 7.89/3.74 % (3097192)Peak memory usage: 112 MB
% 7.89/3.74 % (3097192)Instructions burned: 113 (million)
% 7.89/3.74 % (3097190)Instruction limit reached!
% 7.89/3.74 % (3097190)------------------------------
% 7.89/3.74 % (3097190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097190)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097190)Termination reason: Instruction limit
% 7.89/3.74 % (3097190)Termination phase: Saturation
% 7.89/3.74 % (3097190)Time elapsed: 0.206 s
% 7.89/3.74 % (3097190)Peak memory usage: 119 MB
% 7.89/3.74 % (3097190)Instructions burned: 294 (million)
% 7.89/3.74 % (3097196)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=581061996:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 7.89/3.74 % (3097197)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3249447688:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 7.89/3.74 % (3097198)lrs+10_1_sil=8000:sp=occurrence:random_seed=2827081442:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 7.89/3.74 % (3097197)Instruction limit reached!
% 7.89/3.74 % (3097197)------------------------------
% 7.89/3.74 % (3097197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097197)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097197)Termination reason: Instruction limit
% 7.89/3.74 % (3097197)Termination phase: Property scanning
% 7.89/3.74 % (3097197)Time elapsed: 0.050 s
% 7.89/3.74 % (3097197)Peak memory usage: 112 MB
% 7.89/3.74 % (3097197)Instructions burned: 114 (million)
% 7.89/3.74 % (3097196)Instruction limit reached!
% 7.89/3.74 % (3097196)------------------------------
% 7.89/3.74 % (3097196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097196)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097196)Termination reason: Instruction limit
% 7.89/3.74 % (3097196)Termination phase: Preprocessing 1
% 7.89/3.74 % (3097196)Time elapsed: 0.094 s
% 7.89/3.74 % (3097196)Peak memory usage: 113 MB
% 7.89/3.74 % (3097196)Instructions burned: 127 (million)
% 7.89/3.74 % (3097202)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2614157993:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 7.89/3.74 % (3097203)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2145921207:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 7.89/3.74 % (3097170)First to succeed.
% 7.89/3.74 % (3097170)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3097162"
% 7.89/3.74 % (3097202)Instruction limit reached!
% 7.89/3.74 % (3097202)------------------------------
% 7.89/3.74 % (3097202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097202)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097202)Termination reason: Instruction limit
% 7.89/3.74 % (3097202)Termination phase: Saturation
% 7.89/3.74 % (3097202)Time elapsed: 0.312 s
% 7.89/3.74 % (3097202)Peak memory usage: 121 MB
% 7.89/3.74 % (3097202)Instructions burned: 438 (million)
% 7.89/3.74 % (3097198)Instruction limit reached!
% 7.89/3.74 % (3097198)------------------------------
% 7.89/3.74 % (3097198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/3.74 % (3097198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.74 % (3097198)CaDiCaL version: 2.1.3
% 7.89/3.74 % (3097198)Termination reason: Instruction limit
% 7.89/3.74 % (3097198)Termination phase: Saturation
% 7.89/3.74 % (3097198)Time elapsed: 0.544 s
% 7.89/3.74 % (3097198)Peak memory usage: 131 MB
% 7.89/3.74 % (3097198)Instructions burned: 909 (million)
% 7.89/3.74 % (3097206)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3589681986:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 7.89/3.74 % (3097207)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1196716100:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 7.89/3.74 % (3097170)Refutation found. Thanks to Tanya!
% 7.89/3.74 % SZS status Theorem for theBenchmark
% 7.89/3.74 % SZS output start Proof for theBenchmark
% See solution above
% 13.48/3.93 % (3097170)------------------------------
% 13.48/3.93 % (3097170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.48/3.93 % (3097170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/3.93 % (3097170)CaDiCaL version: 2.1.3
% 13.48/3.93 % (3097170)Termination reason: Refutation
% 13.48/3.93 % (3097170)Time elapsed: 1.237 s
% 13.48/3.93 % (3097170)Peak memory usage: 180 MB
% 13.48/3.93 % (3097170)Instructions burned: 1842 (million)
% 13.48/3.93 % (3097170)------------------------------
% 13.48/3.93 % (3097170)------------------------------
% 13.48/3.93 % (3097162)Success in time 2.794 s
% 13.48/3.93 % Vampire exiting
%------------------------------------------------------------------------------