%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU444+4 : 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 12:49:08 PM UTC 2026
% Result : Theorem 38.44s 16.49s
% Output : Refutation 43.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 123 ( 16 unt; 12 def)
% Number of atoms : 275 ( 59 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 278 ( 126 ~; 118 |; 11 &)
% ( 13 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 90 ( 0 sgn 87 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1422,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(f1461,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/sandbox/benchmark/theBenchmark.p',t38_relset_1) ).
fof(f1481,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(f1483,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(f1498,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1500,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1508,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(f6128,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(f71133,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(f71138,conjecture,
! [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/sandbox/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f71139,negated_conjecture,
~ ! [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)) ) ),
inference(negated_conjecture,[status(cth)],[f71138]) ).
fof(f71289,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,[],[f71133]) ).
fof(f71294,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,[],[f71139]) ).
fof(f71395,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,[],[f1481]) ).
fof(f71396,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1422]) ).
fof(f71850,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,[],[f1508]) ).
fof(f71929,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,[],[f1461]) ).
fof(f72297,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,[],[f6128]) ).
fof(f72306,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1500]) ).
fof(f72308,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1498]) ).
fof(f72337,plain,
( ( k1_funct_5(sK12) != k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),sK10)
| k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k10_relset_1(sK11,sK10,sK12,sK11)) != k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) )
& m2_relset_1(sK12,sK11,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12)],[f71294]) ).
fof(f72363,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,[],[f1483]) ).
fof(f72812,plain,
! [X2,X0,X1] :
( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f71289]) ).
fof(f72813,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,[],[f71289]) ).
fof(f72822,plain,
m2_relset_1(sK12,sK11,sK10),
inference(cnf_transformation,[],[f72337]) ).
fof(f72823,plain,
( k1_funct_5(sK12) != k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),sK10)
| k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k10_relset_1(sK11,sK10,sK12,sK11)) != k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) ),
inference(cnf_transformation,[],[f72337]) ).
fof(f72971,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72363]) ).
fof(f72986,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,[],[f71395]) ).
fof(f72987,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f71396]) ).
fof(f73669,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,[],[f71850]) ).
fof(f73843,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,[],[f71929]) ).
fof(f74356,plain,
! [X0] :
( k2_relat_1(X0) = k2_funct_5(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f72297]) ).
fof(f74398,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72306]) ).
fof(f74400,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72308]) ).
fof(f75768,definition,
( spl542_1
<=> m2_relset_1(sK12,sK11,sK10) ),
introduced(definition,[new_symbols(definition,[spl542_1])],[avatar_definition]) ).
fof(f75770,plain,
( m2_relset_1(sK12,sK11,sK10)
| ~ spl542_1 ),
inference(avatar_component_clause,[],[f75768]) ).
fof(f75771,plain,
spl542_1,
inference(avatar_split_clause,[],[f72822,f75768]) ).
fof(f75778,plain,
( k10_relset_1(sK11,sK10,sK12,sK11) = k2_funct_5(sK12)
| ~ spl542_1 ),
inference(resolution,[],[f75770,f72812]) ).
fof(f75779,plain,
( k1_funct_5(sK12) = k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),sK10)
| ~ spl542_1 ),
inference(resolution,[],[f75770,f72813]) ).
fof(f75792,plain,
( m1_relset_1(sK12,sK11,sK10)
| ~ spl542_1 ),
inference(resolution,[],[f75770,f72971]) ).
fof(f75793,plain,
( m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK11,sK10)))
| ~ spl542_1 ),
inference(resolution,[],[f75770,f72986]) ).
fof(f75836,plain,
( k10_relset_1(sK11,sK10,sK12,sK11) = k5_relset_1(sK11,sK10,sK12)
| ~ spl542_1 ),
inference(resolution,[],[f75770,f73843]) ).
fof(f75907,plain,
( k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k10_relset_1(sK11,sK10,sK12,sK11)) != k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12))
| ~ spl542_1 ),
inference(backward_subsumption_resolution,[],[f72823,f75779]) ).
fof(f75917,plain,
( k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) != k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k5_relset_1(sK11,sK10,sK12))
| ~ spl542_1 ),
inference(forward_demodulation,[],[f75907,f75836]) ).
fof(f75919,definition,
( spl542_2
<=> k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) = k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k5_relset_1(sK11,sK10,sK12)) ),
introduced(definition,[new_symbols(definition,[spl542_2])],[avatar_definition]) ).
fof(f75921,plain,
( k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) != k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k5_relset_1(sK11,sK10,sK12))
| spl542_2 ),
inference(avatar_component_clause,[],[f75919]) ).
fof(f75922,plain,
( ~ spl542_2
| ~ spl542_1 ),
inference(avatar_split_clause,[],[f75917,f75768,f75919]) ).
fof(f75924,plain,
( k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) != k9_relat_1(k6_relset_1(sK11,sK10,sK12),k5_relset_1(sK11,sK10,sK12))
| ~ m1_relset_1(k6_relset_1(sK11,sK10,sK12),sK10,sK11)
| spl542_2 ),
inference(superposition,[],[f75921,f73669]) ).
fof(f75977,definition,
( spl542_5
<=> k10_relset_1(sK11,sK10,sK12,sK11) = k2_funct_5(sK12) ),
introduced(definition,[new_symbols(definition,[spl542_5])],[avatar_definition]) ).
fof(f75979,plain,
( k10_relset_1(sK11,sK10,sK12,sK11) = k2_funct_5(sK12)
| ~ spl542_5 ),
inference(avatar_component_clause,[],[f75977]) ).
fof(f75980,plain,
( spl542_5
| ~ spl542_1 ),
inference(avatar_split_clause,[],[f75778,f75768,f75977]) ).
fof(f75983,plain,
( k2_funct_5(sK12) = k5_relset_1(sK11,sK10,sK12)
| ~ m2_relset_1(sK12,sK11,sK10)
| ~ spl542_5 ),
inference(superposition,[],[f73843,f75979]) ).
fof(f76011,plain,
( k2_funct_5(sK12) = k5_relset_1(sK11,sK10,sK12)
| ~ spl542_1
| ~ spl542_5 ),
inference(forward_subsumption_resolution,[],[f75983,f75770]) ).
fof(f76018,definition,
( spl542_6
<=> m1_relset_1(sK12,sK11,sK10) ),
introduced(definition,[new_symbols(definition,[spl542_6])],[avatar_definition]) ).
fof(f76020,plain,
( m1_relset_1(sK12,sK11,sK10)
| ~ spl542_6 ),
inference(avatar_component_clause,[],[f76018]) ).
fof(f76021,plain,
( spl542_6
| ~ spl542_1 ),
inference(avatar_split_clause,[],[f75792,f75768,f76018]) ).
fof(f76032,plain,
( k6_relset_1(sK11,sK10,sK12) = k4_relat_1(sK12)
| ~ spl542_6 ),
inference(resolution,[],[f76020,f74398]) ).
fof(f76134,definition,
( spl542_8
<=> k6_relset_1(sK11,sK10,sK12) = k4_relat_1(sK12) ),
introduced(definition,[new_symbols(definition,[spl542_8])],[avatar_definition]) ).
fof(f76136,plain,
( k6_relset_1(sK11,sK10,sK12) = k4_relat_1(sK12)
| ~ spl542_8 ),
inference(avatar_component_clause,[],[f76134]) ).
fof(f76137,plain,
( spl542_8
| ~ spl542_6 ),
inference(avatar_split_clause,[],[f76032,f76018,f76134]) ).
fof(f76147,plain,
( m2_relset_1(k4_relat_1(sK12),sK10,sK11)
| ~ m1_relset_1(sK12,sK11,sK10)
| ~ spl542_8 ),
inference(superposition,[],[f74400,f76136]) ).
fof(f76152,plain,
( m2_relset_1(k4_relat_1(sK12),sK10,sK11)
| ~ spl542_6
| ~ spl542_8 ),
inference(forward_subsumption_resolution,[],[f76147,f76020]) ).
fof(f76173,definition,
( spl542_11
<=> m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK11,sK10))) ),
introduced(definition,[new_symbols(definition,[spl542_11])],[avatar_definition]) ).
fof(f76175,plain,
( m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK11,sK10)))
| ~ spl542_11 ),
inference(avatar_component_clause,[],[f76173]) ).
fof(f76176,plain,
( spl542_11
| ~ spl542_1 ),
inference(avatar_split_clause,[],[f75793,f75768,f76173]) ).
fof(f76206,plain,
( v1_relat_1(sK12)
| ~ spl542_11 ),
inference(resolution,[],[f76175,f72987]) ).
fof(f76648,definition,
( spl542_12
<=> v1_relat_1(sK12) ),
introduced(definition,[new_symbols(definition,[spl542_12])],[avatar_definition]) ).
fof(f76650,plain,
( v1_relat_1(sK12)
| ~ spl542_12 ),
inference(avatar_component_clause,[],[f76648]) ).
fof(f76651,plain,
( spl542_12
| ~ spl542_11 ),
inference(avatar_split_clause,[],[f76206,f76173,f76648]) ).
fof(f77035,plain,
( k2_funct_5(sK12) = k2_relat_1(sK12)
| ~ spl542_12 ),
inference(resolution,[],[f76650,f74356]) ).
fof(f77536,definition,
( spl542_15
<=> k2_funct_5(sK12) = k5_relset_1(sK11,sK10,sK12) ),
introduced(definition,[new_symbols(definition,[spl542_15])],[avatar_definition]) ).
fof(f77538,plain,
( k2_funct_5(sK12) = k5_relset_1(sK11,sK10,sK12)
| ~ spl542_15 ),
inference(avatar_component_clause,[],[f77536]) ).
fof(f77539,plain,
( spl542_15
| ~ spl542_1
| ~ spl542_5 ),
inference(avatar_split_clause,[],[f76011,f75977,f75768,f77536]) ).
fof(f77540,plain,
( k2_relat_1(sK12) = k5_relset_1(sK11,sK10,sK12)
| ~ spl542_12
| ~ spl542_15 ),
inference(forward_demodulation,[],[f77538,f77035]) ).
fof(f77548,definition,
( spl542_17
<=> m1_relset_1(k6_relset_1(sK11,sK10,sK12),sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl542_17])],[avatar_definition]) ).
fof(f77550,plain,
( ~ m1_relset_1(k6_relset_1(sK11,sK10,sK12),sK10,sK11)
| spl542_17 ),
inference(avatar_component_clause,[],[f77548]) ).
fof(f77552,definition,
( spl542_18
<=> k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) = k9_relat_1(k6_relset_1(sK11,sK10,sK12),k5_relset_1(sK11,sK10,sK12)) ),
introduced(definition,[new_symbols(definition,[spl542_18])],[avatar_definition]) ).
fof(f77554,plain,
( k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) != k9_relat_1(k6_relset_1(sK11,sK10,sK12),k5_relset_1(sK11,sK10,sK12))
| spl542_18 ),
inference(avatar_component_clause,[],[f77552]) ).
fof(f77555,plain,
( ~ spl542_17
| ~ spl542_18
| spl542_2 ),
inference(avatar_split_clause,[],[f75924,f75919,f77552,f77548]) ).
fof(f77556,plain,
( ~ m1_relset_1(k4_relat_1(sK12),sK10,sK11)
| ~ spl542_8
| spl542_17 ),
inference(forward_demodulation,[],[f77550,f76136]) ).
fof(f77558,definition,
( spl542_19
<=> m1_relset_1(k4_relat_1(sK12),sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl542_19])],[avatar_definition]) ).
fof(f77559,plain,
( m1_relset_1(k4_relat_1(sK12),sK10,sK11)
| ~ spl542_19 ),
inference(avatar_component_clause,[],[f77558]) ).
fof(f77560,plain,
( ~ m1_relset_1(k4_relat_1(sK12),sK10,sK11)
| spl542_19 ),
inference(avatar_component_clause,[],[f77558]) ).
fof(f77561,plain,
( ~ spl542_19
| ~ spl542_8
| spl542_17 ),
inference(avatar_split_clause,[],[f77556,f77548,f76134,f77558]) ).
fof(f77563,plain,
( ~ m2_relset_1(k4_relat_1(sK12),sK10,sK11)
| spl542_19 ),
inference(resolution,[],[f77560,f72971]) ).
fof(f77569,plain,
( $false
| ~ spl542_6
| ~ spl542_8
| spl542_19 ),
inference(forward_subsumption_resolution,[],[f77563,f76152]) ).
fof(f77570,plain,
( ~ spl542_6
| ~ spl542_8
| spl542_19 ),
inference(avatar_contradiction_clause,[],[f77569]) ).
fof(f77578,plain,
( k10_relset_1(sK10,sK11,k6_relset_1(sK11,sK10,sK12),k2_funct_5(sK12)) != k9_relat_1(k6_relset_1(sK11,sK10,sK12),k2_relat_1(sK12))
| ~ spl542_12
| ~ spl542_15
| spl542_18 ),
inference(forward_demodulation,[],[f77554,f77540]) ).
fof(f77580,plain,
( k10_relset_1(sK10,sK11,k4_relat_1(sK12),k2_funct_5(sK12)) != k9_relat_1(k4_relat_1(sK12),k2_relat_1(sK12))
| ~ spl542_8
| ~ spl542_12
| ~ spl542_15
| spl542_18 ),
inference(forward_demodulation,[],[f77578,f76136]) ).
fof(f77582,plain,
( k9_relat_1(k4_relat_1(sK12),k2_relat_1(sK12)) != k10_relset_1(sK10,sK11,k4_relat_1(sK12),k2_relat_1(sK12))
| ~ spl542_8
| ~ spl542_12
| ~ spl542_15
| spl542_18 ),
inference(forward_demodulation,[],[f77580,f77035]) ).
fof(f77585,definition,
( spl542_20
<=> k9_relat_1(k4_relat_1(sK12),k2_relat_1(sK12)) = k10_relset_1(sK10,sK11,k4_relat_1(sK12),k2_relat_1(sK12)) ),
introduced(definition,[new_symbols(definition,[spl542_20])],[avatar_definition]) ).
fof(f77587,plain,
( k9_relat_1(k4_relat_1(sK12),k2_relat_1(sK12)) != k10_relset_1(sK10,sK11,k4_relat_1(sK12),k2_relat_1(sK12))
| spl542_20 ),
inference(avatar_component_clause,[],[f77585]) ).
fof(f77588,plain,
( ~ spl542_20
| ~ spl542_8
| ~ spl542_12
| ~ spl542_15
| spl542_18 ),
inference(avatar_split_clause,[],[f77582,f77552,f77536,f76648,f76134,f77585]) ).
fof(f77609,plain,
( k9_relat_1(k4_relat_1(sK12),k2_relat_1(sK12)) != k9_relat_1(k4_relat_1(sK12),k2_relat_1(sK12))
| ~ m1_relset_1(k4_relat_1(sK12),sK10,sK11)
| spl542_20 ),
inference(superposition,[],[f77587,f73669]) ).
fof(f77610,plain,
( ~ m1_relset_1(k4_relat_1(sK12),sK10,sK11)
| spl542_20 ),
inference(trivial_inequality_removal,[],[f77609]) ).
fof(f77611,plain,
( $false
| ~ spl542_19
| spl542_20 ),
inference(forward_subsumption_resolution,[],[f77610,f77559]) ).
fof(f77612,plain,
( ~ spl542_19
| spl542_20 ),
inference(avatar_contradiction_clause,[],[f77611]) ).
cnf(s1,plain,
spl542_1,
inference(sat_conversion,[],[f75771]) ).
cnf(s2,plain,
( ~ spl542_1
| ~ spl542_2 ),
inference(sat_conversion,[],[f75922]) ).
cnf(s5,plain,
( ~ spl542_1
| spl542_5 ),
inference(sat_conversion,[],[f75980]) ).
cnf(s6,plain,
( ~ spl542_1
| spl542_6 ),
inference(sat_conversion,[],[f76021]) ).
cnf(s8,plain,
( ~ spl542_6
| spl542_8 ),
inference(sat_conversion,[],[f76137]) ).
cnf(s11,plain,
( ~ spl542_1
| spl542_11 ),
inference(sat_conversion,[],[f76176]) ).
cnf(s12,plain,
( ~ spl542_11
| spl542_12 ),
inference(sat_conversion,[],[f76651]) ).
cnf(s15,plain,
( ~ spl542_1
| ~ spl542_5
| spl542_15 ),
inference(sat_conversion,[],[f77539]) ).
cnf(s17,plain,
( spl542_2
| ~ spl542_17
| ~ spl542_18 ),
inference(sat_conversion,[],[f77555]) ).
cnf(s18,plain,
( ~ spl542_8
| spl542_17
| ~ spl542_19 ),
inference(sat_conversion,[],[f77561]) ).
cnf(s19,plain,
( ~ spl542_6
| ~ spl542_8
| spl542_19 ),
inference(sat_conversion,[],[f77570]) ).
cnf(s20,plain,
( ~ spl542_8
| ~ spl542_12
| ~ spl542_15
| spl542_18
| ~ spl542_20 ),
inference(sat_conversion,[],[f77588]) ).
cnf(s21,plain,
( ~ spl542_19
| spl542_20 ),
inference(sat_conversion,[],[f77612]) ).
cnf(s23,plain,
spl542_11,
inference(rat,[],[s11,s1]) ).
cnf(s24,plain,
spl542_6,
inference(rat,[],[s6,s1]) ).
cnf(s25,plain,
spl542_5,
inference(rat,[],[s5,s1]) ).
cnf(s27,plain,
~ spl542_2,
inference(rat,[],[s2,s1]) ).
cnf(s28,plain,
spl542_12,
inference(rat,[],[s12,s23]) ).
cnf(s32,plain,
spl542_8,
inference(rat,[],[s8,s24]) ).
cnf(s35,plain,
spl542_15,
inference(rat,[],[s15,s1,s25]) ).
cnf(s37,plain,
spl542_19,
inference(rat,[],[s19,s24,s32]) ).
cnf(s38,plain,
spl542_17,
inference(rat,[],[s18,s37,s32]) ).
cnf(s39,plain,
spl542_20,
inference(rat,[],[s21,s37]) ).
cnf(s40,plain,
~ spl542_18,
inference(rat,[],[s17,s27,s38]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s20,s32,s28,s35,s39,s40]) ).
fof(f77638,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU444+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 % Computer : n018.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Mon Sep 28 05:34:39 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.55 Running first-order theorem proving
% 0.28/0.55 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
% 30.92/14.79 % (3077079)Detected formulas, will run a generic FOF schedule.
% 30.92/14.79 % (3077089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3256096991:s2a=on:i=139:gtg=position_2894 on theBenchmark for (2894ds/139Mi)
% 30.92/14.79 % (3077085)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=1522131585:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2894 on theBenchmark for (2894ds/134677Mi)
% 30.92/14.79 % (3077084)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=1492794777:i=141193_2894 on theBenchmark for (2894ds/141193Mi)
% 30.92/14.79 % (3077086)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=1731301283:i=141695:sd=1:nm=32:gsp=on:ss=included_2894 on theBenchmark for (2894ds/141695Mi)
% 30.92/14.79 % (3077088)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=397863625:i=119:av=off:ss=axioms_2894 on theBenchmark for (2894ds/119Mi)
% 30.92/14.79 % (3077087)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1219939682:i=109:sd=1:ins=1:gsp=on:ss=axioms_2894 on theBenchmark for (2894ds/109Mi)
% 30.92/14.79 % (3077089)Instruction limit reached!
% 30.92/14.79 % (3077089)------------------------------
% 30.92/14.79 % (3077089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.92/14.79 % (3077089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.92/14.79 % (3077089)CaDiCaL version: 2.1.3
% 30.92/14.79 % (3077089)Termination reason: Instruction limit
% 30.92/14.79 % (3077089)Termination phase: Property scanning
% 30.92/14.79 % (3077089)Time elapsed: 0.068 s
% 30.92/14.79 % (3077089)Peak memory usage: 201 MB
% 30.92/14.79 % (3077089)Instructions burned: 139 (million)
% 30.92/14.79 % (3077090)dis-21_1_sil=8000:lcm=predicate:random_seed=362271439:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2894 on theBenchmark for (2894ds/129Mi)
% 30.92/14.79 % (3077087)Instruction limit reached!
% 30.92/14.79 % (3077087)------------------------------
% 30.92/14.79 % (3077087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.92/14.79 % (3077087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.92/14.79 % (3077087)CaDiCaL version: 2.1.3
% 30.92/14.79 % (3077087)Termination reason: Instruction limit
% 30.92/14.79 % (3077087)Termination phase: SInE selection
% 30.92/14.79 % (3077087)Time elapsed: 0.126 s
% 30.92/14.79 % (3077087)Peak memory usage: 201 MB
% 30.92/14.79 % (3077087)Instructions burned: 109 (million)
% 30.92/14.79 % (3077088)Instruction limit reached!
% 30.92/14.79 % (3077088)------------------------------
% 30.92/14.79 % (3077088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.92/14.79 % (3077088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.92/14.79 % (3077088)CaDiCaL version: 2.1.3
% 30.92/14.79 % (3077088)Termination reason: Instruction limit
% 30.92/14.79 % (3077088)Termination phase: SInE selection
% 30.92/14.79 % (3077088)Time elapsed: 0.138 s
% 30.92/14.79 % (3077088)Peak memory usage: 201 MB
% 30.92/14.79 % (3077088)Instructions burned: 119 (million)
% 30.92/14.79 % (3077097)lrs+10_1_sil=8000:sp=occurrence:random_seed=4114560707:i=285:sd=3:ss=axioms:sgt=8_2891 on theBenchmark for (2891ds/285Mi)
% 30.92/14.79 % (3077090)Instruction limit reached!
% 30.92/14.79 % (3077090)------------------------------
% 30.92/14.79 % (3077090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.92/14.79 % (3077090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.92/14.79 % (3077090)CaDiCaL version: 2.1.3
% 30.92/14.79 % (3077090)Termination reason: Instruction limit
% 30.92/14.79 % (3077090)Termination phase: SInE selection
% 30.92/14.79 % (3077090)Time elapsed: 0.156 s
% 30.92/14.79 % (3077090)Peak memory usage: 201 MB
% 30.92/14.79 % (3077090)Instructions burned: 129 (million)
% 30.92/14.79 % (3077099)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4162770579:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2890 on theBenchmark for (2890ds/157Mi)
% 30.92/14.79 % (3077097)Instruction limit reached!
% 30.92/14.79 % (3077097)------------------------------
% 30.92/14.79 % (3077097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.92/14.79 % (3077097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.92/14.79 % (3077097)CaDiCaL version: 2.1.3
% 30.92/14.79 % (3077097)Termination reason: Instruction limit
% 38.44/16.49 % (3077097)Termination phase: SInE selection
% 38.44/16.49 % (3077097)Time elapsed: 0.205 s
% 38.44/16.49 % (3077097)Peak memory usage: 201 MB
% 38.44/16.49 % (3077097)Instructions burned: 286 (million)
% 38.44/16.49 % (3077100)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3027928182:i=325:sd=1:ss=axioms:sgt=32_2889 on theBenchmark for (2889ds/325Mi)
% 38.44/16.49 % (3077102)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=1289828758:s2a=on:i=248:s2at=1.23:gtg=position_2889 on theBenchmark for (2889ds/248Mi)
% 38.44/16.49 % (3077099)Instruction limit reached!
% 38.44/16.49 % (3077099)------------------------------
% 38.44/16.49 % (3077099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077099)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077099)Termination reason: Instruction limit
% 38.44/16.49 % (3077099)Termination phase: Property scanning
% 38.44/16.49 % (3077099)Time elapsed: 0.142 s
% 38.44/16.49 % (3077099)Peak memory usage: 201 MB
% 38.44/16.49 % (3077099)Instructions burned: 157 (million)
% 38.44/16.49 % (3077105)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=717002598:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2887 on theBenchmark for (2887ds/294Mi)
% 38.44/16.49 % (3077102)Instruction limit reached!
% 38.44/16.49 % (3077102)------------------------------
% 38.44/16.49 % (3077102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077102)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077102)Termination reason: Instruction limit
% 38.44/16.49 % (3077102)Termination phase: Property scanning
% 38.44/16.49 % (3077102)Time elapsed: 0.210 s
% 38.44/16.49 % (3077102)Peak memory usage: 201 MB
% 38.44/16.49 % (3077102)Instructions burned: 248 (million)
% 38.44/16.49 % (3077100)Instruction limit reached!
% 38.44/16.49 % (3077100)------------------------------
% 38.44/16.49 % (3077100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077100)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077100)Termination reason: Instruction limit
% 38.44/16.49 % (3077100)Termination phase: SInE selection
% 38.44/16.49 % (3077100)Time elapsed: 0.378 s
% 38.44/16.49 % (3077100)Peak memory usage: 201 MB
% 38.44/16.49 % (3077100)Instructions burned: 325 (million)
% 38.44/16.49 % (3077107)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=641003629:i=2350_2886 on theBenchmark for (2886ds/2350Mi)
% 38.44/16.49 % (3077105)Instruction limit reached!
% 38.44/16.49 % (3077105)------------------------------
% 38.44/16.49 % (3077105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077105)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077105)Termination reason: Instruction limit
% 38.44/16.49 % (3077105)Termination phase: SInE selection
% 38.44/16.49 % (3077105)Time elapsed: 0.209 s
% 38.44/16.49 % (3077105)Peak memory usage: 201 MB
% 38.44/16.49 % (3077105)Instructions burned: 295 (million)
% 38.44/16.49 % (3077109)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1639156117:cts=off:i=113:fsr=off:ss=included:sgt=4_2884 on theBenchmark for (2884ds/113Mi)
% 38.44/16.49 % (3077112)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1657202457:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2883 on theBenchmark for (2883ds/114Mi)
% 38.44/16.49 % (3077111)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1268858101:i=127:av=off:fsr=off:sup=off_2883 on theBenchmark for (2883ds/127Mi)
% 38.44/16.49 % (3077109)Instruction limit reached!
% 38.44/16.49 % (3077109)------------------------------
% 38.44/16.49 % (3077109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077109)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077109)Termination reason: Instruction limit
% 38.44/16.49 % (3077109)Termination phase: SInE selection
% 38.44/16.49 % (3077109)Time elapsed: 0.138 s
% 38.44/16.49 % (3077109)Peak memory usage: 201 MB
% 38.44/16.49 % (3077109)Instructions burned: 113 (million)
% 38.44/16.49 % (3077112)Instruction limit reached!
% 38.44/16.49 % (3077112)------------------------------
% 38.44/16.49 % (3077112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077112)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077112)Termination reason: Instruction limit
% 38.44/16.49 % (3077112)Termination phase: Property scanning
% 38.44/16.49 % (3077112)Time elapsed: 0.061 s
% 38.44/16.49 % (3077112)Peak memory usage: 201 MB
% 38.44/16.49 % (3077112)Instructions burned: 122 (million)
% 38.44/16.49 % (3077111)Instruction limit reached!
% 38.44/16.49 % (3077111)------------------------------
% 38.44/16.49 % (3077111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077111)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077111)Termination reason: Instruction limit
% 38.44/16.49 % (3077111)Termination phase: Preprocessing 1
% 38.44/16.49 % (3077111)Time elapsed: 0.162 s
% 38.44/16.49 % (3077111)Peak memory usage: 202 MB
% 38.44/16.49 % (3077111)Instructions burned: 127 (million)
% 38.44/16.49 % (3077117)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=418243735:i=437:sd=1:aac=none:ss=included_2880 on theBenchmark for (2880ds/437Mi)
% 38.44/16.49 % (3077116)lrs+10_1_sil=8000:sp=occurrence:random_seed=3650109957:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2880 on theBenchmark for (2880ds/907Mi)
% 38.44/16.49 % (3077118)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2855360406:i=5202:ss=axioms:sgt=16_2879 on theBenchmark for (2879ds/5202Mi)
% 38.44/16.49 % (3077117)Instruction limit reached!
% 38.44/16.49 % (3077117)------------------------------
% 38.44/16.49 % (3077117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077117)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077117)Termination reason: Instruction limit
% 38.44/16.49 % (3077117)Termination phase: SInE selection
% 38.44/16.49 % (3077117)Time elapsed: 0.299 s
% 38.44/16.49 % (3077117)Peak memory usage: 202 MB
% 38.44/16.49 % (3077117)Instructions burned: 437 (million)
% 38.44/16.49 % (3077122)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2553504711:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2875 on theBenchmark for (2875ds/134Mi)
% 38.44/16.49 % (3077122)Instruction limit reached!
% 38.44/16.49 % (3077122)------------------------------
% 38.44/16.49 % (3077122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077122)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077122)Termination reason: Instruction limit
% 38.44/16.49 % (3077122)Termination phase: SInE selection
% 38.44/16.49 % (3077122)Time elapsed: 0.090 s
% 38.44/16.49 % (3077122)Peak memory usage: 201 MB
% 38.44/16.49 % (3077122)Instructions burned: 134 (million)
% 38.44/16.49 % (3077125)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4228729324:st=8:i=592:sd=3:ep=RST:ss=axioms_2873 on theBenchmark for (2873ds/592Mi)
% 38.44/16.49 % (3077116)Instruction limit reached!
% 38.44/16.49 % (3077116)------------------------------
% 38.44/16.49 % (3077116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077116)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077116)Termination reason: Instruction limit
% 38.44/16.49 % (3077116)Termination phase: Preprocessing 1
% 38.44/16.49 % (3077116)Time elapsed: 1.035 s
% 38.44/16.49 % (3077116)Peak memory usage: 204 MB
% 38.44/16.49 % (3077116)Instructions burned: 907 (million)
% 38.44/16.49 % (3077125)Instruction limit reached!
% 38.44/16.49 % (3077125)------------------------------
% 38.44/16.49 % (3077125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077125)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077125)Termination reason: Instruction limit
% 38.44/16.49 % (3077125)Termination phase: SInE selection
% 38.44/16.49 % (3077125)Time elapsed: 0.352 s
% 38.44/16.49 % (3077125)Peak memory usage: 203 MB
% 38.44/16.49 % (3077125)Instructions burned: 593 (million)
% 38.44/16.49 % (3077128)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=4159592928:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2867 on theBenchmark for (2867ds/125Mi)
% 38.44/16.49 % (3077127)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2905117791:st=3:i=13193:sd=3:ss=axioms_2867 on theBenchmark for (2867ds/13193Mi)
% 38.44/16.49 % (3077128)Instruction limit reached!
% 38.44/16.49 % (3077128)------------------------------
% 38.44/16.49 % (3077128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077128)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077128)Termination reason: Instruction limit
% 38.44/16.49 % (3077128)Termination phase: Property scanning
% 38.44/16.49 % (3077128)Time elapsed: 0.063 s
% 38.44/16.49 % (3077128)Peak memory usage: 201 MB
% 38.44/16.49 % (3077128)Instructions burned: 125 (million)
% 38.44/16.49 % (3077131)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=954080278:i=134:gtgl=5:slsql=off:gtg=exists_sym_2865 on theBenchmark for (2865ds/134Mi)
% 38.44/16.49 % (3077131)Instruction limit reached!
% 38.44/16.49 % (3077131)------------------------------
% 38.44/16.49 % (3077131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077131)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077131)Termination reason: Instruction limit
% 38.44/16.49 % (3077131)Termination phase: Property scanning
% 38.44/16.49 % (3077131)Time elapsed: 0.067 s
% 38.44/16.49 % (3077131)Peak memory usage: 201 MB
% 38.44/16.49 % (3077131)Instructions burned: 134 (million)
% 38.44/16.49 % (3077133)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2213920275:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2862 on theBenchmark for (2862ds/141Mi)
% 38.44/16.49 % (3077133)Instruction limit reached!
% 38.44/16.49 % (3077133)------------------------------
% 38.44/16.49 % (3077133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077133)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077133)Termination reason: Instruction limit
% 38.44/16.49 % (3077133)Termination phase: SInE selection
% 38.44/16.49 % (3077133)Time elapsed: 0.094 s
% 38.44/16.49 % (3077133)Peak memory usage: 201 MB
% 38.44/16.49 % (3077133)Instructions burned: 142 (million)
% 38.44/16.49 % (3077135)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2267863183:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2860 on theBenchmark for (2860ds/431Mi)
% 38.44/16.49 % (3077135)Instruction limit reached!
% 38.44/16.49 % (3077135)------------------------------
% 38.44/16.49 % (3077135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077135)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077135)Termination reason: Instruction limit
% 38.44/16.49 % (3077135)Termination phase: SInE selection
% 38.44/16.49 % (3077135)Time elapsed: 0.275 s
% 38.44/16.49 % (3077135)Peak memory usage: 202 MB
% 38.44/16.49 % (3077135)Instructions burned: 432 (million)
% 38.44/16.49 % (3077086)First to succeed.
% 38.44/16.49 % (3077137)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=2257205112:i=6060:aac=none:ins=25_2855 on theBenchmark for (2855ds/6060Mi)
% 38.44/16.49 % (3077086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3077079"
% 38.44/16.49 % (3077107)Instruction limit reached!
% 38.44/16.49 % (3077107)------------------------------
% 38.44/16.49 % (3077107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.44/16.49 % (3077107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.44/16.49 % (3077107)CaDiCaL version: 2.1.3
% 38.44/16.49 % (3077107)Termination reason: Instruction limit
% 38.44/16.49 % (3077107)Termination phase: Preprocessing 3
% 38.44/16.49 % (3077107)Time elapsed: 3.013 s
% 38.44/16.49 % (3077107)Peak memory usage: 305 MB
% 38.44/16.49 % (3077107)Instructions burned: 2350 (million)
% 38.44/16.49 % (3077139)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=779886690:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2852 on theBenchmark for (2852ds/150Mi)
% 38.44/16.49 % (3077086)Refutation found. Thanks to Tanya!
% 38.44/16.49 % SZS status Theorem for theBenchmark
% 38.44/16.49 % SZS output start Proof for theBenchmark
% See solution above
% 43.88/16.75 % (3077086)------------------------------
% 43.88/16.75 % (3077086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.88/16.75 % (3077086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.88/16.75 % (3077086)CaDiCaL version: 2.1.3
% 43.88/16.75 % (3077086)Termination reason: Refutation
% 43.88/16.75 % (3077086)Time elapsed: 3.776 s
% 43.88/16.75 % (3077086)Peak memory usage: 298 MB
% 43.88/16.75 % (3077086)Instructions burned: 3419 (million)
% 43.88/16.75 % (3077086)------------------------------
% 43.88/16.75 % (3077086)------------------------------
% 43.88/16.75 % (3077079)Success in time 15.164 s
% 43.88/16.75 % Vampire exiting
%------------------------------------------------------------------------------