%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU441+2 : 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 : n010.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 12.75s 2.54s
% Output : Refutation 13.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 108 ( 38 unt; 2 def)
% Number of atoms : 215 ( 54 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 182 ( 75 ~; 71 |; 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 : 187 ( 0 sgn 182 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f728,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(f731,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t159_relat_1) ).
fof(f1120,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(f1121,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(f1179,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(f1181,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(f1206,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(f3003,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(f3011,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(f4467,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(f4468,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(f4523,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(f4525,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(f4526,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)],[f4525]) ).
fof(f4568,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,[],[f4467]) ).
fof(f4569,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,[],[f4568]) ).
fof(f4570,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,[],[f4468]) ).
fof(f4571,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,[],[f4570]) ).
fof(f4632,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,[],[f4523]) ).
fof(f4634,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,[],[f4526]) ).
fof(f4638,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,[],[f1179]) ).
fof(f4639,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1120]) ).
fof(f4736,plain,
! [X0,X1] :
( ! [X2] :
( k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f731]) ).
fof(f4741,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,[],[f728]) ).
fof(f4742,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,[],[f4741]) ).
fof(f4971,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,[],[f1206]) ).
fof(f5260,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,[],[f3011]) ).
fof(f5263,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,[],[f3003]) ).
fof(f6263,plain,
( ( k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK14,sK16,k2_funct_5(sK15))
| ~ r1_tarski(k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k2_funct_5(sK16)) )
& m2_relset_1(sK16,sK13,sK14)
& m2_relset_1(sK15,sK12,sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15),skolemize(X4,sK16)],[f4634]) ).
fof(f6292,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,[],[f1181]) ).
fof(f6294,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,[],[f1121]) ).
fof(f6808,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,[],[f4569]) ).
fof(f6809,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,[],[f4571]) ).
fof(f6889,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f4632]) ).
fof(f6893,plain,
m2_relset_1(sK15,sK12,sK13),
inference(cnf_transformation,[],[f6263]) ).
fof(f6894,plain,
m2_relset_1(sK16,sK13,sK14),
inference(cnf_transformation,[],[f6263]) ).
fof(f6895,plain,
( k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK14,sK16,k2_funct_5(sK15))
| ~ r1_tarski(k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k2_funct_5(sK16)) ),
inference(cnf_transformation,[],[f6263]) ).
fof(f6903,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,[],[f4638]) ).
fof(f6904,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4639]) ).
fof(f6990,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6292]) ).
fof(f6993,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| r1_tarski(X2,k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f6294]) ).
fof(f7045,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f4736]) ).
fof(f7048,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,[],[f4742]) ).
fof(f7376,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,[],[f4971]) ).
fof(f7824,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k2_funct_5(X0) ),
inference(cnf_transformation,[],[f5260]) ).
fof(f7836,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(k2_funct_5(X0),X2) ),
inference(cnf_transformation,[],[f5263]) ).
fof(f10652,definition,
( spl348_19
<=> r1_tarski(k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k2_funct_5(sK16)) ),
introduced(definition,[new_symbols(definition,[spl348_19])],[avatar_definition]) ).
fof(f10653,plain,
( ~ r1_tarski(k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k2_funct_5(sK16))
| spl348_19 ),
inference(avatar_component_clause,[],[f10652]) ).
fof(f10655,definition,
( spl348_20
<=> k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) = k10_relset_1(sK13,sK14,sK16,k2_funct_5(sK15)) ),
introduced(definition,[new_symbols(definition,[spl348_20])],[avatar_definition]) ).
fof(f10656,plain,
( k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK14,sK16,k2_funct_5(sK15))
| spl348_20 ),
inference(avatar_component_clause,[],[f10655]) ).
fof(f10657,plain,
( ~ spl348_19
| ~ spl348_20 ),
inference(avatar_split_clause,[],[f6895,f10655,f10652]) ).
fof(f10794,plain,
k2_funct_5(sK16) = k10_relset_1(sK13,sK14,sK16,sK13),
inference(resolution,[],[f6889,f6894]) ).
fof(f10795,plain,
k2_funct_5(sK15) = k10_relset_1(sK12,sK13,sK15,sK12),
inference(resolution,[],[f6889,f6893]) ).
fof(f10796,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,[],[f6903,f6809]) ).
fof(f10797,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,[],[f6903,f6808]) ).
fof(f10798,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(resolution,[],[f7376,f6990]) ).
fof(f10799,plain,
! [X0] : k10_relset_1(sK13,sK14,sK16,X0) = k9_relat_1(sK16,X0),
inference(resolution,[],[f10798,f6894]) ).
fof(f10800,plain,
! [X0] : k10_relset_1(sK12,sK13,sK15,X0) = k9_relat_1(sK15,X0),
inference(resolution,[],[f10798,f6893]) ).
fof(f10802,plain,
k2_funct_5(sK16) = k9_relat_1(sK16,sK13),
inference(superposition,[],[f10794,f10799]) ).
fof(f10804,plain,
k2_funct_5(sK15) = k9_relat_1(sK15,sK12),
inference(superposition,[],[f10795,f10800]) ).
fof(f10809,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,[],[f10796,f6903]) ).
fof(f10811,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK13,X1)
| k5_relat_1(sK15,X0) = k9_relset_2(sK12,sK13,X1,sK15,X0) ),
inference(resolution,[],[f10809,f6893]) ).
fof(f10812,plain,
k9_relset_2(sK12,sK13,sK14,sK15,sK16) = k5_relat_1(sK15,sK16),
inference(resolution,[],[f10811,f6894]) ).
fof(f10813,plain,
( ~ r1_tarski(k2_funct_5(k5_relat_1(sK15,sK16)),k2_funct_5(sK16))
| spl348_19 ),
inference(superposition,[],[f10653,f10812]) ).
fof(f10823,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,[],[f10797,f6903]) ).
fof(f10847,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,sK13,X0)
| m2_relset_1(k9_relset_2(sK12,sK13,X0,sK15,X1),sK12,X0) ),
inference(resolution,[],[f10823,f6893]) ).
fof(f10848,plain,
m2_relset_1(k9_relset_2(sK12,sK13,sK14,sK15,sK16),sK12,sK14),
inference(resolution,[],[f10847,f6894]) ).
fof(f10849,plain,
m2_relset_1(k5_relat_1(sK15,sK16),sK12,sK14),
inference(forward_demodulation,[],[f10848,f10812]) ).
fof(f10850,plain,
k2_funct_5(k5_relat_1(sK15,sK16)) = k10_relset_1(sK12,sK14,k5_relat_1(sK15,sK16),sK12),
inference(resolution,[],[f10849,f6889]) ).
fof(f10854,plain,
! [X0] : k10_relset_1(sK12,sK14,k5_relat_1(sK15,sK16),X0) = k9_relat_1(k5_relat_1(sK15,sK16),X0),
inference(resolution,[],[f10849,f10798]) ).
fof(f10859,plain,
k2_funct_5(k5_relat_1(sK15,sK16)) = k9_relat_1(k5_relat_1(sK15,sK16),sK12),
inference(forward_demodulation,[],[f10850,f10854]) ).
fof(f10862,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f6904,f6903]) ).
fof(f10863,plain,
v1_relat_1(sK16),
inference(resolution,[],[f10862,f6894]) ).
fof(f10864,plain,
v1_relat_1(sK15),
inference(resolution,[],[f10862,f6893]) ).
fof(f10865,plain,
v1_relat_1(k5_relat_1(sK15,sK16)),
inference(resolution,[],[f10862,f10849]) ).
fof(f10867,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k9_relat_1(sK16,X0),k9_relat_1(sK16,X1)) ),
inference(resolution,[],[f10863,f7048]) ).
fof(f10895,plain,
k2_funct_5(sK16) = k2_relat_1(sK16),
inference(resolution,[],[f7824,f10863]) ).
fof(f10896,plain,
k2_funct_5(sK15) = k2_relat_1(sK15),
inference(resolution,[],[f7824,f10864]) ).
fof(f10897,plain,
k2_funct_5(k5_relat_1(sK15,sK16)) = k2_relat_1(k5_relat_1(sK15,sK16)),
inference(resolution,[],[f7824,f10865]) ).
fof(f10899,plain,
( ~ r1_tarski(k2_funct_5(k5_relat_1(sK15,sK16)),k2_relat_1(sK16))
| spl348_19 ),
inference(superposition,[],[f10813,f10895]) ).
fof(f10902,plain,
( ~ r1_tarski(k2_relat_1(k5_relat_1(sK15,sK16)),k2_relat_1(sK16))
| spl348_19 ),
inference(forward_demodulation,[],[f10899,f10897]) ).
fof(f10925,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f6993,f6990]) ).
fof(f10927,plain,
r1_tarski(sK15,k2_zfmisc_1(sK12,sK13)),
inference(resolution,[],[f10925,f6893]) ).
fof(f10946,plain,
r1_tarski(k2_funct_5(sK15),sK13),
inference(resolution,[],[f10927,f7836]) ).
fof(f10962,plain,
r1_tarski(k2_relat_1(sK15),sK13),
inference(forward_demodulation,[],[f10946,f10896]) ).
fof(f10983,plain,
r1_tarski(k9_relat_1(sK16,k2_relat_1(sK15)),k9_relat_1(sK16,sK13)),
inference(resolution,[],[f10962,f10867]) ).
fof(f10985,plain,
r1_tarski(k9_relat_1(sK16,k2_relat_1(sK15)),k2_funct_5(sK16)),
inference(forward_demodulation,[],[f10983,f10802]) ).
fof(f10994,plain,
r1_tarski(k9_relat_1(sK16,k2_relat_1(sK15)),k2_relat_1(sK16)),
inference(forward_demodulation,[],[f10985,f10895]) ).
fof(f12048,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k9_relat_1(sK15,X1)) = k9_relat_1(k5_relat_1(sK15,X0),X1) ),
inference(resolution,[],[f7045,f10864]) ).
fof(f12053,plain,
! [X0] : k9_relat_1(k5_relat_1(sK15,sK16),X0) = k9_relat_1(sK16,k9_relat_1(sK15,X0)),
inference(resolution,[],[f12048,f10863]) ).
fof(f12061,plain,
k2_funct_5(k5_relat_1(sK15,sK16)) = k9_relat_1(sK16,k9_relat_1(sK15,sK12)),
inference(superposition,[],[f10859,f12053]) ).
fof(f12062,plain,
k2_funct_5(k5_relat_1(sK15,sK16)) = k9_relat_1(sK16,k2_funct_5(sK15)),
inference(forward_demodulation,[],[f12061,f10804]) ).
fof(f12064,plain,
k2_funct_5(k5_relat_1(sK15,sK16)) = k9_relat_1(sK16,k2_relat_1(sK15)),
inference(forward_demodulation,[],[f12062,f10896]) ).
fof(f12066,plain,
k2_relat_1(k5_relat_1(sK15,sK16)) = k9_relat_1(sK16,k2_relat_1(sK15)),
inference(forward_demodulation,[],[f12064,f10897]) ).
fof(f12069,plain,
r1_tarski(k2_relat_1(k5_relat_1(sK15,sK16)),k2_relat_1(sK16)),
inference(superposition,[],[f10994,f12066]) ).
fof(f12075,plain,
( $false
| spl348_19 ),
inference(forward_subsumption_resolution,[],[f12069,f10902]) ).
fof(f12076,plain,
spl348_19,
inference(avatar_contradiction_clause,[],[f12075]) ).
fof(f12077,plain,
( k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k9_relat_1(sK16,k2_funct_5(sK15))
| spl348_20 ),
inference(forward_demodulation,[],[f10656,f10799]) ).
fof(f12078,plain,
( k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k9_relat_1(sK16,k2_relat_1(sK15))
| spl348_20 ),
inference(forward_demodulation,[],[f12077,f10896]) ).
fof(f12079,plain,
( k2_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k2_relat_1(k5_relat_1(sK15,sK16))
| spl348_20 ),
inference(forward_demodulation,[],[f12078,f12066]) ).
fof(f12080,plain,
( k2_funct_5(k5_relat_1(sK15,sK16)) != k2_relat_1(k5_relat_1(sK15,sK16))
| spl348_20 ),
inference(forward_demodulation,[],[f12079,f10812]) ).
fof(f12081,plain,
( $false
| spl348_20 ),
inference(forward_subsumption_resolution,[],[f12080,f10897]) ).
fof(f12082,plain,
spl348_20,
inference(avatar_contradiction_clause,[],[f12081]) ).
cnf(s11,plain,
( ~ spl348_19
| ~ spl348_20 ),
inference(sat_conversion,[],[f10657]) ).
cnf(s37,plain,
spl348_19,
inference(sat_conversion,[],[f12076]) ).
cnf(s38,plain,
spl348_20,
inference(sat_conversion,[],[f12082]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s11,s38,s37]) ).
fof(f12083,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU441+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 05:31:48 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 11.03/2.24 % (1612008)Detected formulas, will run a generic FOF schedule.
% 11.03/2.24 % (1612017)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1717745235:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.03/2.24 % (1612018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3135980985:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.03/2.24 % (1612014)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=1578308963:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.03/2.24 % (1612019)dis-21_1_sil=8000:lcm=predicate:random_seed=3383089035:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.03/2.24 % (1612016)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=918198416:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.03/2.24 % (1612013)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=1975692812:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.03/2.24 % (1612015)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=176900460:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.03/2.24 % (1612016)Instruction limit reached!
% 11.03/2.24 % (1612016)------------------------------
% 11.03/2.24 % (1612016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.24 % (1612016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.24 % (1612016)CaDiCaL version: 2.1.3
% 11.03/2.24 % (1612016)Termination reason: Instruction limit
% 11.03/2.24 % (1612016)Termination phase: Saturation
% 11.03/2.24 % (1612016)Time elapsed: 0.061 s
% 11.03/2.24 % (1612016)Peak memory usage: 94 MB
% 11.03/2.24 % (1612016)Instructions burned: 109 (million)
% 11.03/2.24 % (1612017)Instruction limit reached!
% 11.03/2.24 % (1612017)------------------------------
% 11.03/2.24 % (1612017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.24 % (1612017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.24 % (1612017)CaDiCaL version: 2.1.3
% 11.03/2.24 % (1612017)Termination reason: Instruction limit
% 11.03/2.24 % (1612017)Termination phase: Saturation
% 11.03/2.24 % (1612017)Time elapsed: 0.072 s
% 11.03/2.24 % (1612017)Peak memory usage: 94 MB
% 11.03/2.24 % (1612017)Instructions burned: 119 (million)
% 11.03/2.24 % (1612018)Instruction limit reached!
% 11.03/2.24 % (1612018)------------------------------
% 11.03/2.24 % (1612018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.24 % (1612018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.24 % (1612018)CaDiCaL version: 2.1.3
% 11.03/2.24 % (1612018)Termination reason: Instruction limit
% 11.03/2.24 % (1612018)Termination phase: Preprocessing 3
% 11.03/2.24 % (1612018)Time elapsed: 0.085 s
% 11.03/2.24 % (1612018)Peak memory usage: 94 MB
% 11.03/2.24 % (1612018)Instructions burned: 140 (million)
% 11.03/2.24 % (1612019)Instruction limit reached!
% 11.03/2.24 % (1612019)------------------------------
% 11.03/2.24 % (1612019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.24 % (1612019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.24 % (1612019)CaDiCaL version: 2.1.3
% 11.03/2.24 % (1612019)Termination reason: Instruction limit
% 11.03/2.24 % (1612019)Termination phase: Clausification
% 11.03/2.24 % (1612019)Time elapsed: 0.086 s
% 11.03/2.24 % (1612019)Peak memory usage: 94 MB
% 11.03/2.24 % (1612019)Instructions burned: 130 (million)
% 11.03/2.24 % (1612029)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1955831194:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.03/2.24 % (1612027)lrs+10_1_sil=8000:sp=occurrence:random_seed=2915370276:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.03/2.24 % (1612028)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1524742443:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.03/2.24 % (1612030)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=3183746626:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.03/2.24 % (1612029)Instruction limit reached!
% 12.75/2.54 % (1612029)------------------------------
% 12.75/2.54 % (1612029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612029)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612029)Termination reason: Instruction limit
% 12.75/2.54 % (1612029)Termination phase: Saturation
% 12.75/2.54 % (1612029)Time elapsed: 0.070 s
% 12.75/2.54 % (1612029)Peak memory usage: 93 MB
% 12.75/2.54 % (1612029)Instructions burned: 327 (million)
% 12.75/2.54 % (1612028)Instruction limit reached!
% 12.75/2.54 % (1612028)------------------------------
% 12.75/2.54 % (1612028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612028)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612028)Termination reason: Instruction limit
% 12.75/2.54 % (1612028)Termination phase: Saturation
% 12.75/2.54 % (1612028)Time elapsed: 0.086 s
% 12.75/2.54 % (1612028)Peak memory usage: 94 MB
% 12.75/2.54 % (1612028)Instructions burned: 157 (million)
% 12.75/2.54 % (1612035)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3504511367:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.75/2.54 % (1612030)Instruction limit reached!
% 12.75/2.54 % (1612030)------------------------------
% 12.75/2.54 % (1612030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612030)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612030)Termination reason: Instruction limit
% 12.75/2.54 % (1612030)Termination phase: Property scanning
% 12.75/2.54 % (1612030)Time elapsed: 0.147 s
% 12.75/2.54 % (1612030)Peak memory usage: 98 MB
% 12.75/2.54 % (1612030)Instructions burned: 249 (million)
% 12.75/2.54 % (1612027)Instruction limit reached!
% 12.75/2.54 % (1612027)------------------------------
% 12.75/2.54 % (1612027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612027)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612027)Termination reason: Instruction limit
% 12.75/2.54 % (1612027)Termination phase: Saturation
% 12.75/2.54 % (1612027)Time elapsed: 0.186 s
% 12.75/2.54 % (1612027)Peak memory usage: 98 MB
% 12.75/2.54 % (1612027)Instructions burned: 286 (million)
% 12.75/2.54 % (1612036)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1802820902:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.75/2.54 % (1612035)Instruction limit reached!
% 12.75/2.54 % (1612035)------------------------------
% 12.75/2.54 % (1612035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612035)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612035)Termination reason: Instruction limit
% 12.75/2.54 % (1612035)Termination phase: Saturation
% 12.75/2.54 % (1612035)Time elapsed: 0.096 s
% 12.75/2.54 % (1612035)Peak memory usage: 97 MB
% 12.75/2.54 % (1612035)Instructions burned: 297 (million)
% 12.75/2.54 % (1612038)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3317419099:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.75/2.54 % (1612039)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1416933599:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 12.75/2.54 % (1612041)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4150136982:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 12.75/2.54 % (1612038)Instruction limit reached!
% 12.75/2.54 % (1612038)------------------------------
% 12.75/2.54 % (1612038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612038)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612038)Termination reason: Instruction limit
% 12.75/2.54 % (1612038)Termination phase: Saturation
% 12.75/2.54 % (1612038)Time elapsed: 0.067 s
% 12.75/2.54 % (1612038)Peak memory usage: 94 MB
% 12.75/2.54 % (1612038)Instructions burned: 113 (million)
% 12.75/2.54 % (1612041)Instruction limit reached!
% 12.75/2.54 % (1612041)------------------------------
% 12.75/2.54 % (1612041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612041)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612041)Termination reason: Instruction limit
% 12.75/2.54 % (1612041)Termination phase: SInE selection
% 12.75/2.54 % (1612041)Time elapsed: 0.028 s
% 12.75/2.54 % (1612041)Peak memory usage: 89 MB
% 12.75/2.54 % (1612041)Instructions burned: 116 (million)
% 12.75/2.54 % (1612039)Instruction limit reached!
% 12.75/2.54 % (1612039)------------------------------
% 12.75/2.54 % (1612039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612039)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612039)Termination reason: Instruction limit
% 12.75/2.54 % (1612039)Termination phase: Preprocessing 3
% 12.75/2.54 % (1612039)Time elapsed: 0.086 s
% 12.75/2.54 % (1612039)Peak memory usage: 97 MB
% 12.75/2.54 % (1612039)Instructions burned: 128 (million)
% 12.75/2.54 % (1612046)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3928669003:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 12.75/2.54 % (1612045)lrs+10_1_sil=8000:sp=occurrence:random_seed=3052960873:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.75/2.54 % (1612047)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1166832760:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 12.75/2.54 % (1612046)Refutation not found, incomplete strategy
% 12.75/2.54 % (1612046)------------------------------
% 12.75/2.54 % (1612046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612046)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612046)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.54 % (1612046)Time elapsed: 0.081 s
% 12.75/2.54 % (1612046)Peak memory usage: 96 MB
% 12.75/2.54 % (1612046)Instructions burned: 228 (million)
% 12.75/2.54 % (1612046)------------------------------
% 12.75/2.54 % (1612046)------------------------------
% 12.75/2.54 % (1612051)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2947123921:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 12.75/2.54 % (1612051)Instruction limit reached!
% 12.75/2.54 % (1612051)------------------------------
% 12.75/2.54 % (1612051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612051)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612051)Termination reason: Instruction limit
% 12.75/2.54 % (1612051)Termination phase: Saturation
% 12.75/2.54 % (1612051)Time elapsed: 0.046 s
% 12.75/2.54 % (1612051)Peak memory usage: 96 MB
% 12.75/2.54 % (1612051)Instructions burned: 136 (million)
% 12.75/2.54 % (1612053)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3990448448:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.75/2.54 % (1612053)Instruction limit reached!
% 12.75/2.54 % (1612053)------------------------------
% 12.75/2.54 % (1612053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612053)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612053)Termination reason: Instruction limit
% 12.75/2.54 % (1612053)Termination phase: Saturation
% 12.75/2.54 % (1612053)Time elapsed: 0.185 s
% 12.75/2.54 % (1612053)Peak memory usage: 106 MB
% 12.75/2.54 % (1612053)Instructions burned: 594 (million)
% 12.75/2.54 % (1612045)Instruction limit reached!
% 12.75/2.54 % (1612045)------------------------------
% 12.75/2.54 % (1612045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612045)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612045)Termination reason: Instruction limit
% 12.75/2.54 % (1612045)Termination phase: Saturation
% 12.75/2.54 % (1612045)Time elapsed: 0.616 s
% 12.75/2.54 % (1612045)Peak memory usage: 107 MB
% 12.75/2.54 % (1612045)Instructions burned: 907 (million)
% 12.75/2.54 % (1612055)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=8276287:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 12.75/2.54 % (1612056)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=607521676:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 12.75/2.54 % (1612014)First to succeed.
% 12.75/2.54 % (1612014)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1612008"
% 12.75/2.54 % (1612056)Instruction limit reached!
% 12.75/2.54 % (1612056)------------------------------
% 12.75/2.54 % (1612056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.54 % (1612056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.54 % (1612056)CaDiCaL version: 2.1.3
% 12.75/2.54 % (1612056)Termination reason: Instruction limit
% 12.75/2.54 % (1612056)Termination phase: Function definition elimination
% 12.75/2.54 % (1612056)Time elapsed: 0.077 s
% 12.75/2.54 % (1612056)Peak memory usage: 92 MB
% 12.75/2.54 % (1612056)Instructions burned: 125 (million)
% 12.75/2.54 % (1612059)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3850098652:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 12.75/2.54 % (1612014)Refutation found. Thanks to Tanya!
% 12.75/2.54 % SZS status Theorem for theBenchmark
% 12.75/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 13.75/2.74 % (1612014)------------------------------
% 13.75/2.74 % (1612014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.75/2.74 % (1612014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.74 % (1612014)CaDiCaL version: 2.1.3
% 13.75/2.74 % (1612014)Termination reason: Refutation
% 13.75/2.74 % (1612014)Time elapsed: 1.468 s
% 13.75/2.74 % (1612014)Peak memory usage: 171 MB
% 13.75/2.74 % (1612014)Instructions burned: 2369 (million)
% 13.75/2.74 % (1612014)------------------------------
% 13.75/2.74 % (1612014)------------------------------
% 13.75/2.74 % (1612008)Success in time 1.951 s
% 13.75/2.74 % Vampire exiting
%------------------------------------------------------------------------------