%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU441+4 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:06 PM UTC 2026
% Result : Theorem 16.85s 9.32s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 144 ( 20 unt; 14 def)
% Number of atoms : 354 ( 40 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 381 ( 171 ~; 170 |; 11 &)
% ( 15 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-5 aty)
% Number of variables : 97 ( 0 sgn 92 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f749,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k2_relat_1(k5_relat_1(X0,X1)),k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f869,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t160_relat_1) ).
fof(f908,axiom,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k5_relat_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
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/sandbox2/benchmark/theBenchmark.p',cc1_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t21_funct_5) ).
fof(f71078,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/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f71135,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/sandbox2/benchmark/theBenchmark.p',t53_relset_2) ).
fof(f71136,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)],[f71135]) ).
fof(f71225,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,[],[f71078]) ).
fof(f71226,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,[],[f71225]) ).
fof(f71289,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,[],[f71136]) ).
fof(f71390,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(f71391,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(f71476,plain,
! [X0] :
( ! [X1] :
( k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f869]) ).
fof(f71563,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f908]) ).
fof(f71564,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f71563]) ).
fof(f71585,plain,
! [X0] :
( ! [X1] :
( r1_tarski(k2_relat_1(k5_relat_1(X0,X1)),k2_relat_1(X1))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f749]) ).
fof(f71845,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(f72292,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(f72330,plain,
( ( k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)) != k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13))
| ~ r1_tarski(k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)),k2_funct_5(sK14)) )
& m2_relset_1(sK14,sK11,sK12)
& m2_relset_1(sK13,sK10,sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13),skolemize(X4,sK14)],[f71289]) ).
fof(f72356,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(f72725,plain,
! [X2,X3,X0,X1,X4] :
( k5_relat_1(X3,X4) = k9_relset_2(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))) ),
inference(cnf_transformation,[],[f71226]) ).
fof(f72809,plain,
m2_relset_1(sK13,sK10,sK11),
inference(cnf_transformation,[],[f72330]) ).
fof(f72810,plain,
m2_relset_1(sK14,sK11,sK12),
inference(cnf_transformation,[],[f72330]) ).
fof(f72811,plain,
( k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)) != k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13))
| ~ r1_tarski(k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)),k2_funct_5(sK14)) ),
inference(cnf_transformation,[],[f72330]) ).
fof(f72959,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72356]) ).
fof(f72974,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,[],[f71390]) ).
fof(f72975,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f71391]) ).
fof(f73057,plain,
! [X0,X1] :
( k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f71476]) ).
fof(f73169,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f71564]) ).
fof(f73185,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(k5_relat_1(X0,X1)),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f71585]) ).
fof(f73657,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,[],[f71845]) ).
fof(f74344,plain,
! [X0] :
( k2_relat_1(X0) = k2_funct_5(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f72292]) ).
fof(f75756,definition,
( spl544_1
<=> r1_tarski(k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)),k2_funct_5(sK14)) ),
introduced(definition,[new_symbols(definition,[spl544_1])],[avatar_definition]) ).
fof(f75758,plain,
( ~ r1_tarski(k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)),k2_funct_5(sK14))
| spl544_1 ),
inference(avatar_component_clause,[],[f75756]) ).
fof(f75760,definition,
( spl544_2
<=> k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)) = k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13)) ),
introduced(definition,[new_symbols(definition,[spl544_2])],[avatar_definition]) ).
fof(f75762,plain,
( k2_funct_5(k9_relset_2(sK10,sK11,sK12,sK13,sK14)) != k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13))
| spl544_2 ),
inference(avatar_component_clause,[],[f75760]) ).
fof(f75763,plain,
( ~ spl544_1
| ~ spl544_2 ),
inference(avatar_split_clause,[],[f72811,f75760,f75756]) ).
fof(f75806,plain,
( ~ r1_tarski(k2_funct_5(k5_relat_1(sK13,sK14)),k2_funct_5(sK14))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12)))
| spl544_1 ),
inference(superposition,[],[f75758,f72725]) ).
fof(f75838,definition,
( spl544_3
<=> m2_relset_1(sK14,sK11,sK12) ),
introduced(definition,[new_symbols(definition,[spl544_3])],[avatar_definition]) ).
fof(f75840,plain,
( m2_relset_1(sK14,sK11,sK12)
| ~ spl544_3 ),
inference(avatar_component_clause,[],[f75838]) ).
fof(f75841,plain,
spl544_3,
inference(avatar_split_clause,[],[f72810,f75838]) ).
fof(f75854,plain,
( m1_relset_1(sK14,sK11,sK12)
| ~ spl544_3 ),
inference(resolution,[],[f75840,f72959]) ).
fof(f75855,plain,
( m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12)))
| ~ spl544_3 ),
inference(resolution,[],[f75840,f72974]) ).
fof(f75969,plain,
( ~ r1_tarski(k2_funct_5(k5_relat_1(sK13,sK14)),k2_funct_5(sK14))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| spl544_1
| ~ spl544_3 ),
inference(backward_subsumption_resolution,[],[f75806,f75855]) ).
fof(f75980,definition,
( spl544_4
<=> m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11))) ),
introduced(definition,[new_symbols(definition,[spl544_4])],[avatar_definition]) ).
fof(f75981,plain,
( m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| ~ spl544_4 ),
inference(avatar_component_clause,[],[f75980]) ).
fof(f75982,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| spl544_4 ),
inference(avatar_component_clause,[],[f75980]) ).
fof(f75984,definition,
( spl544_5
<=> r1_tarski(k2_funct_5(k5_relat_1(sK13,sK14)),k2_funct_5(sK14)) ),
introduced(definition,[new_symbols(definition,[spl544_5])],[avatar_definition]) ).
fof(f75986,plain,
( ~ r1_tarski(k2_funct_5(k5_relat_1(sK13,sK14)),k2_funct_5(sK14))
| spl544_5 ),
inference(avatar_component_clause,[],[f75984]) ).
fof(f75987,plain,
( ~ spl544_4
| ~ spl544_5
| spl544_1
| ~ spl544_3 ),
inference(avatar_split_clause,[],[f75969,f75838,f75756,f75984,f75980]) ).
fof(f75988,plain,
( ~ m2_relset_1(sK13,sK10,sK11)
| spl544_4 ),
inference(resolution,[],[f75982,f72974]) ).
fof(f76025,plain,
( $false
| spl544_4 ),
inference(forward_subsumption_resolution,[],[f75988,f72809]) ).
fof(f76026,plain,
spl544_4,
inference(avatar_contradiction_clause,[],[f76025]) ).
fof(f76159,plain,
( v1_relat_1(sK13)
| ~ spl544_4 ),
inference(resolution,[],[f75981,f72975]) ).
fof(f76795,plain,
( k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13)) != k2_funct_5(k5_relat_1(sK13,sK14))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12)))
| spl544_2 ),
inference(superposition,[],[f75762,f72725]) ).
fof(f76805,plain,
( k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13)) != k2_funct_5(k5_relat_1(sK13,sK14))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12)))
| spl544_2
| ~ spl544_4 ),
inference(forward_subsumption_resolution,[],[f76795,f75981]) ).
fof(f76807,plain,
( k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13)) != k2_funct_5(k5_relat_1(sK13,sK14))
| spl544_2
| ~ spl544_3
| ~ spl544_4 ),
inference(forward_subsumption_resolution,[],[f76805,f75855]) ).
fof(f77037,definition,
( spl544_7
<=> k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13)) = k2_funct_5(k5_relat_1(sK13,sK14)) ),
introduced(definition,[new_symbols(definition,[spl544_7])],[avatar_definition]) ).
fof(f77039,plain,
( k10_relset_1(sK11,sK12,sK14,k2_funct_5(sK13)) != k2_funct_5(k5_relat_1(sK13,sK14))
| spl544_7 ),
inference(avatar_component_clause,[],[f77037]) ).
fof(f77040,plain,
( ~ spl544_7
| spl544_2
| ~ spl544_3
| ~ spl544_4 ),
inference(avatar_split_clause,[],[f76807,f75980,f75838,f75760,f77037]) ).
fof(f77045,plain,
( k2_funct_5(k5_relat_1(sK13,sK14)) != k10_relset_1(sK11,sK12,sK14,k2_relat_1(sK13))
| ~ v1_relat_1(sK13)
| spl544_7 ),
inference(superposition,[],[f77039,f74344]) ).
fof(f77049,plain,
( k2_funct_5(k5_relat_1(sK13,sK14)) != k10_relset_1(sK11,sK12,sK14,k2_relat_1(sK13))
| ~ spl544_4
| spl544_7 ),
inference(forward_subsumption_resolution,[],[f77045,f76159]) ).
fof(f77250,definition,
( spl544_10
<=> v1_relat_1(sK13) ),
introduced(definition,[new_symbols(definition,[spl544_10])],[avatar_definition]) ).
fof(f77252,plain,
( v1_relat_1(sK13)
| ~ spl544_10 ),
inference(avatar_component_clause,[],[f77250]) ).
fof(f77253,plain,
( spl544_10
| ~ spl544_4 ),
inference(avatar_split_clause,[],[f76159,f75980,f77250]) ).
fof(f78170,definition,
( spl544_13
<=> v1_relat_1(k5_relat_1(sK13,sK14)) ),
introduced(definition,[new_symbols(definition,[spl544_13])],[avatar_definition]) ).
fof(f78171,plain,
( v1_relat_1(k5_relat_1(sK13,sK14))
| ~ spl544_13 ),
inference(avatar_component_clause,[],[f78170]) ).
fof(f78172,plain,
( ~ v1_relat_1(k5_relat_1(sK13,sK14))
| spl544_13 ),
inference(avatar_component_clause,[],[f78170]) ).
fof(f78184,plain,
( ~ v1_relat_1(sK13)
| ~ v1_relat_1(sK14)
| spl544_13 ),
inference(resolution,[],[f78172,f73169]) ).
fof(f78241,plain,
( ~ v1_relat_1(sK14)
| ~ spl544_10
| spl544_13 ),
inference(forward_subsumption_resolution,[],[f78184,f77252]) ).
fof(f78258,definition,
( spl544_15
<=> k2_funct_5(k5_relat_1(sK13,sK14)) = k10_relset_1(sK11,sK12,sK14,k2_relat_1(sK13)) ),
introduced(definition,[new_symbols(definition,[spl544_15])],[avatar_definition]) ).
fof(f78260,plain,
( k2_funct_5(k5_relat_1(sK13,sK14)) != k10_relset_1(sK11,sK12,sK14,k2_relat_1(sK13))
| spl544_15 ),
inference(avatar_component_clause,[],[f78258]) ).
fof(f78261,plain,
( ~ spl544_15
| ~ spl544_4
| spl544_7 ),
inference(avatar_split_clause,[],[f77049,f77037,f75980,f78258]) ).
fof(f78344,definition,
( spl544_17
<=> m1_relset_1(sK14,sK11,sK12) ),
introduced(definition,[new_symbols(definition,[spl544_17])],[avatar_definition]) ).
fof(f78346,plain,
( m1_relset_1(sK14,sK11,sK12)
| ~ spl544_17 ),
inference(avatar_component_clause,[],[f78344]) ).
fof(f78347,plain,
( spl544_17
| ~ spl544_3 ),
inference(avatar_split_clause,[],[f75854,f75838,f78344]) ).
fof(f78422,definition,
( spl544_19
<=> v1_relat_1(sK14) ),
introduced(definition,[new_symbols(definition,[spl544_19])],[avatar_definition]) ).
fof(f78423,plain,
( v1_relat_1(sK14)
| ~ spl544_19 ),
inference(avatar_component_clause,[],[f78422]) ).
fof(f78424,plain,
( ~ v1_relat_1(sK14)
| spl544_19 ),
inference(avatar_component_clause,[],[f78422]) ).
fof(f78425,plain,
( ~ spl544_19
| ~ spl544_10
| spl544_13 ),
inference(avatar_split_clause,[],[f78241,f78170,f77250,f78422]) ).
fof(f78741,definition,
( spl544_26
<=> m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12))) ),
introduced(definition,[new_symbols(definition,[spl544_26])],[avatar_definition]) ).
fof(f78743,plain,
( m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12)))
| ~ spl544_26 ),
inference(avatar_component_clause,[],[f78741]) ).
fof(f78744,plain,
( spl544_26
| ~ spl544_3 ),
inference(avatar_split_clause,[],[f75855,f75838,f78741]) ).
fof(f78774,plain,
( v1_relat_1(sK14)
| ~ spl544_26 ),
inference(resolution,[],[f78743,f72975]) ).
fof(f79183,plain,
( $false
| spl544_19
| ~ spl544_26 ),
inference(forward_subsumption_resolution,[],[f78774,f78424]) ).
fof(f79184,plain,
( spl544_19
| ~ spl544_26 ),
inference(avatar_contradiction_clause,[],[f79183]) ).
fof(f79640,plain,
( k2_funct_5(k5_relat_1(sK13,sK14)) = k2_relat_1(k5_relat_1(sK13,sK14))
| ~ spl544_13 ),
inference(resolution,[],[f78171,f74344]) ).
fof(f82700,plain,
( k2_funct_5(k5_relat_1(sK13,sK14)) != k9_relat_1(sK14,k2_relat_1(sK13))
| ~ m1_relset_1(sK14,sK11,sK12)
| spl544_15 ),
inference(superposition,[],[f78260,f73657]) ).
fof(f82701,plain,
( k2_funct_5(k5_relat_1(sK13,sK14)) != k9_relat_1(sK14,k2_relat_1(sK13))
| spl544_15
| ~ spl544_17 ),
inference(forward_subsumption_resolution,[],[f82700,f78346]) ).
fof(f82720,plain,
( k2_relat_1(k5_relat_1(sK13,sK14)) != k9_relat_1(sK14,k2_relat_1(sK13))
| ~ spl544_13
| spl544_15
| ~ spl544_17 ),
inference(forward_demodulation,[],[f82701,f79640]) ).
fof(f83138,plain,
( k2_funct_5(sK14) = k2_relat_1(sK14)
| ~ spl544_19 ),
inference(resolution,[],[f78423,f74344]) ).
fof(f83631,definition,
( spl544_36
<=> k2_relat_1(k5_relat_1(sK13,sK14)) = k9_relat_1(sK14,k2_relat_1(sK13)) ),
introduced(definition,[new_symbols(definition,[spl544_36])],[avatar_definition]) ).
fof(f83632,plain,
( k2_relat_1(k5_relat_1(sK13,sK14)) = k9_relat_1(sK14,k2_relat_1(sK13))
| ~ spl544_36 ),
inference(avatar_component_clause,[],[f83631]) ).
fof(f83633,plain,
( k2_relat_1(k5_relat_1(sK13,sK14)) != k9_relat_1(sK14,k2_relat_1(sK13))
| spl544_36 ),
inference(avatar_component_clause,[],[f83631]) ).
fof(f83659,plain,
( k2_relat_1(k5_relat_1(sK13,sK14)) != k2_relat_1(k5_relat_1(sK13,sK14))
| ~ v1_relat_1(sK14)
| ~ v1_relat_1(sK13)
| spl544_36 ),
inference(superposition,[],[f83633,f73057]) ).
fof(f83677,plain,
( ~ v1_relat_1(sK14)
| ~ v1_relat_1(sK13)
| spl544_36 ),
inference(trivial_inequality_removal,[],[f83659]) ).
fof(f83686,plain,
( ~ v1_relat_1(sK13)
| ~ spl544_19
| spl544_36 ),
inference(forward_subsumption_resolution,[],[f83677,f78423]) ).
fof(f83691,plain,
( $false
| ~ spl544_10
| ~ spl544_19
| spl544_36 ),
inference(forward_subsumption_resolution,[],[f83686,f77252]) ).
fof(f83692,plain,
( ~ spl544_10
| ~ spl544_19
| spl544_36 ),
inference(avatar_contradiction_clause,[],[f83691]) ).
fof(f83700,plain,
( ~ r1_tarski(k2_funct_5(k5_relat_1(sK13,sK14)),k2_relat_1(sK14))
| spl544_5
| ~ spl544_19 ),
inference(forward_demodulation,[],[f75986,f83138]) ).
fof(f83709,plain,
( $false
| ~ spl544_13
| spl544_15
| ~ spl544_17
| ~ spl544_36 ),
inference(forward_subsumption_resolution,[],[f82720,f83632]) ).
fof(f83710,plain,
( ~ spl544_13
| spl544_15
| ~ spl544_17
| ~ spl544_36 ),
inference(avatar_contradiction_clause,[],[f83709]) ).
fof(f83783,plain,
( ~ r1_tarski(k2_relat_1(k5_relat_1(sK13,sK14)),k2_relat_1(sK14))
| spl544_5
| ~ spl544_13
| ~ spl544_19 ),
inference(forward_demodulation,[],[f83700,f79640]) ).
fof(f84038,definition,
( spl544_38
<=> r1_tarski(k2_relat_1(k5_relat_1(sK13,sK14)),k2_relat_1(sK14)) ),
introduced(definition,[new_symbols(definition,[spl544_38])],[avatar_definition]) ).
fof(f84040,plain,
( ~ r1_tarski(k2_relat_1(k5_relat_1(sK13,sK14)),k2_relat_1(sK14))
| spl544_38 ),
inference(avatar_component_clause,[],[f84038]) ).
fof(f84041,plain,
( ~ spl544_38
| spl544_5
| ~ spl544_13
| ~ spl544_19 ),
inference(avatar_split_clause,[],[f83783,f78422,f78170,f75984,f84038]) ).
fof(f84042,plain,
( ~ v1_relat_1(sK14)
| ~ v1_relat_1(sK13)
| spl544_38 ),
inference(resolution,[],[f84040,f73185]) ).
fof(f84185,plain,
( ~ v1_relat_1(sK13)
| ~ spl544_19
| spl544_38 ),
inference(forward_subsumption_resolution,[],[f84042,f78423]) ).
fof(f84202,plain,
( $false
| ~ spl544_10
| ~ spl544_19
| spl544_38 ),
inference(forward_subsumption_resolution,[],[f84185,f77252]) ).
fof(f84203,plain,
( ~ spl544_10
| ~ spl544_19
| spl544_38 ),
inference(avatar_contradiction_clause,[],[f84202]) ).
cnf(s1,plain,
( ~ spl544_1
| ~ spl544_2 ),
inference(sat_conversion,[],[f75763]) ).
cnf(s2,plain,
spl544_3,
inference(sat_conversion,[],[f75841]) ).
cnf(s3,plain,
( spl544_1
| ~ spl544_3
| ~ spl544_4
| ~ spl544_5 ),
inference(sat_conversion,[],[f75987]) ).
cnf(s4,plain,
spl544_4,
inference(sat_conversion,[],[f76026]) ).
cnf(s6,plain,
( spl544_2
| ~ spl544_3
| ~ spl544_4
| ~ spl544_7 ),
inference(sat_conversion,[],[f77040]) ).
cnf(s9,plain,
( ~ spl544_4
| spl544_10 ),
inference(sat_conversion,[],[f77253]) ).
cnf(s13,plain,
( ~ spl544_4
| spl544_7
| ~ spl544_15 ),
inference(sat_conversion,[],[f78261]) ).
cnf(s15,plain,
( ~ spl544_3
| spl544_17 ),
inference(sat_conversion,[],[f78347]) ).
cnf(s17,plain,
( ~ spl544_10
| spl544_13
| ~ spl544_19 ),
inference(sat_conversion,[],[f78425]) ).
cnf(s24,plain,
( ~ spl544_3
| spl544_26 ),
inference(sat_conversion,[],[f78744]) ).
cnf(s25,plain,
( spl544_19
| ~ spl544_26 ),
inference(sat_conversion,[],[f79184]) ).
cnf(s38,plain,
( ~ spl544_10
| ~ spl544_19
| spl544_36 ),
inference(sat_conversion,[],[f83692]) ).
cnf(s40,plain,
( ~ spl544_13
| spl544_15
| ~ spl544_17
| ~ spl544_36 ),
inference(sat_conversion,[],[f83710]) ).
cnf(s46,plain,
( spl544_5
| ~ spl544_13
| ~ spl544_19
| ~ spl544_38 ),
inference(sat_conversion,[],[f84041]) ).
cnf(s47,plain,
( ~ spl544_10
| ~ spl544_19
| spl544_38 ),
inference(sat_conversion,[],[f84203]) ).
cnf(s56,plain,
spl544_10,
inference(rat,[],[s9,s4]) ).
cnf(s57,plain,
( spl544_1
| ~ spl544_3
| ~ spl544_5 ),
inference(rat,[],[s3,s4]) ).
cnf(s59,plain,
spl544_26,
inference(rat,[],[s24,s2]) ).
cnf(s60,plain,
spl544_17,
inference(rat,[],[s15,s2]) ).
cnf(s62,plain,
spl544_19,
inference(rat,[],[s25,s59]) ).
cnf(s68,plain,
spl544_38,
inference(rat,[],[s47,s56,s62]) ).
cnf(s69,plain,
spl544_36,
inference(rat,[],[s38,s56,s62]) ).
cnf(s70,plain,
spl544_13,
inference(rat,[],[s17,s56,s62]) ).
cnf(s72,plain,
spl544_5,
inference(rat,[],[s46,s68,s62,s70]) ).
cnf(s73,plain,
spl544_15,
inference(rat,[],[s40,s69,s60,s70]) ).
cnf(s76,plain,
spl544_1,
inference(rat,[],[s57,s2,s72]) ).
cnf(s77,plain,
spl544_7,
inference(rat,[],[s13,s4,s73]) ).
cnf(s81,plain,
spl544_2,
inference(rat,[],[s6,s2,s4,s77]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s1,s81,s76]) ).
fof(f84220,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU441+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n016.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 05:36:18 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 18.59/8.29 % (3305869)Detected formulas, will run a generic FOF schedule.
% 18.59/8.29 % (3305879)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=487041569:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 18.59/8.29 % (3305874)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=3350811542:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 18.59/8.29 % (3305875)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=2406362351:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 18.59/8.29 % (3305877)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3145106662:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 18.59/8.29 % (3305876)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=4214116647:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 18.59/8.29 % (3305879)Instruction limit reached!
% 18.59/8.29 % (3305879)------------------------------
% 18.59/8.29 % (3305879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/8.29 % (3305879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/8.29 % (3305879)CaDiCaL version: 2.1.3
% 18.59/8.29 % (3305879)Termination reason: Instruction limit
% 18.59/8.29 % (3305879)Termination phase: Property scanning
% 18.59/8.29 % (3305879)Time elapsed: 0.039 s
% 18.59/8.29 % (3305879)Peak memory usage: 201 MB
% 18.59/8.29 % (3305879)Instructions burned: 142 (million)
% 18.59/8.29 % (3305878)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4066304623:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 18.59/8.29 % (3305880)dis-21_1_sil=8000:lcm=predicate:random_seed=2996572751:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 18.59/8.29 % (3305877)Instruction limit reached!
% 18.59/8.29 % (3305877)------------------------------
% 18.59/8.29 % (3305877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/8.29 % (3305877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/8.29 % (3305877)CaDiCaL version: 2.1.3
% 18.59/8.29 % (3305877)Termination reason: Instruction limit
% 18.59/8.29 % (3305877)Termination phase: SInE selection
% 18.59/8.29 % (3305877)Time elapsed: 0.086 s
% 18.59/8.29 % (3305877)Peak memory usage: 201 MB
% 18.59/8.29 % (3305877)Instructions burned: 110 (million)
% 18.59/8.29 % (3305878)Instruction limit reached!
% 18.59/8.29 % (3305878)------------------------------
% 18.59/8.29 % (3305878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/8.29 % (3305878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/8.29 % (3305878)CaDiCaL version: 2.1.3
% 18.59/8.29 % (3305878)Termination reason: Instruction limit
% 18.59/8.29 % (3305878)Termination phase: SInE selection
% 18.59/8.29 % (3305878)Time elapsed: 0.095 s
% 18.59/8.29 % (3305878)Peak memory usage: 201 MB
% 18.59/8.29 % (3305878)Instructions burned: 120 (million)
% 18.59/8.29 % (3305880)Instruction limit reached!
% 18.59/8.29 % (3305880)------------------------------
% 18.59/8.29 % (3305880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/8.29 % (3305880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/8.29 % (3305880)CaDiCaL version: 2.1.3
% 18.59/8.29 % (3305880)Termination reason: Instruction limit
% 18.59/8.29 % (3305880)Termination phase: SInE selection
% 18.59/8.29 % (3305880)Time elapsed: 0.104 s
% 18.59/8.29 % (3305880)Peak memory usage: 201 MB
% 18.59/8.29 % (3305880)Instructions burned: 129 (million)
% 18.59/8.29 % (3305888)lrs+10_1_sil=8000:sp=occurrence:random_seed=1450126153:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 18.59/8.29 % (3305889)lrs+10_1_sil=32000:urr=on:br=off:random_seed=287152187:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/157Mi)
% 18.59/8.29 % (3305888)Instruction limit reached!
% 18.59/8.29 % (3305888)------------------------------
% 18.59/8.29 % (3305888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/8.29 % (3305888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/8.29 % (3305888)CaDiCaL version: 2.1.3
% 18.59/8.29 % (3305888)Termination reason: Instruction limit
% 16.85/9.32 % (3305888)Termination phase: SInE selection
% 16.85/9.32 % (3305888)Time elapsed: 0.125 s
% 16.85/9.32 % (3305888)Peak memory usage: 201 MB
% 16.85/9.32 % (3305888)Instructions burned: 287 (million)
% 16.85/9.32 % (3305890)lrs+1011_1_sil=32000:sp=occurrence:random_seed=413704086:i=325:sd=1:ss=axioms:sgt=32_2941 on theBenchmark for (2941ds/325Mi)
% 16.85/9.32 % (3305891)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=1028160782:s2a=on:i=248:s2at=1.23:gtg=position_2941 on theBenchmark for (2941ds/248Mi)
% 16.85/9.32 % (3305889)Instruction limit reached!
% 16.85/9.32 % (3305889)------------------------------
% 16.85/9.32 % (3305889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305889)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305889)Termination reason: Instruction limit
% 16.85/9.32 % (3305889)Termination phase: Property scanning
% 16.85/9.32 % (3305889)Time elapsed: 0.078 s
% 16.85/9.32 % (3305889)Peak memory usage: 201 MB
% 16.85/9.32 % (3305889)Instructions burned: 158 (million)
% 16.85/9.32 % (3305895)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3054935472:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2940 on theBenchmark for (2940ds/294Mi)
% 16.85/9.32 % (3305891)Instruction limit reached!
% 16.85/9.32 % (3305891)------------------------------
% 16.85/9.32 % (3305891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305891)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305891)Termination reason: Instruction limit
% 16.85/9.32 % (3305891)Termination phase: Property scanning
% 16.85/9.32 % (3305891)Time elapsed: 0.118 s
% 16.85/9.32 % (3305891)Peak memory usage: 201 MB
% 16.85/9.32 % (3305891)Instructions burned: 250 (million)
% 16.85/9.32 % (3305897)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1667701398:i=2350_2939 on theBenchmark for (2939ds/2350Mi)
% 16.85/9.32 % (3305890)Instruction limit reached!
% 16.85/9.32 % (3305890)------------------------------
% 16.85/9.32 % (3305890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305890)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305890)Termination reason: Instruction limit
% 16.85/9.32 % (3305890)Termination phase: SInE selection
% 16.85/9.32 % (3305890)Time elapsed: 0.245 s
% 16.85/9.32 % (3305890)Peak memory usage: 201 MB
% 16.85/9.32 % (3305890)Instructions burned: 325 (million)
% 16.85/9.32 % (3305895)Instruction limit reached!
% 16.85/9.32 % (3305895)------------------------------
% 16.85/9.32 % (3305895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305895)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305895)Termination reason: Instruction limit
% 16.85/9.32 % (3305895)Termination phase: SInE selection
% 16.85/9.32 % (3305895)Time elapsed: 0.125 s
% 16.85/9.32 % (3305895)Peak memory usage: 201 MB
% 16.85/9.32 % (3305895)Instructions burned: 294 (million)
% 16.85/9.32 % (3305899)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2807523934:cts=off:i=113:fsr=off:ss=included:sgt=4_2938 on theBenchmark for (2938ds/113Mi)
% 16.85/9.32 % (3305902)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=799576049:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2937 on theBenchmark for (2937ds/114Mi)
% 16.85/9.32 % (3305899)Instruction limit reached!
% 16.85/9.32 % (3305899)------------------------------
% 16.85/9.32 % (3305899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305899)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305899)Termination reason: Instruction limit
% 16.85/9.32 % (3305899)Termination phase: SInE selection
% 16.85/9.32 % (3305899)Time elapsed: 0.089 s
% 16.85/9.32 % (3305899)Peak memory usage: 201 MB
% 16.85/9.32 % (3305899)Instructions burned: 113 (million)
% 16.85/9.32 % (3305902)Instruction limit reached!
% 16.85/9.32 % (3305902)------------------------------
% 16.85/9.32 % (3305902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305902)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305902)Termination reason: Instruction limit
% 16.85/9.32 % (3305902)Termination phase: Property scanning
% 16.85/9.32 % (3305902)Time elapsed: 0.033 s
% 16.85/9.32 % (3305902)Peak memory usage: 201 MB
% 16.85/9.32 % (3305902)Instructions burned: 116 (million)
% 16.85/9.32 % (3305901)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2917906545:i=127:av=off:fsr=off:sup=off_2937 on theBenchmark for (2937ds/127Mi)
% 16.85/9.32 % (3305901)Instruction limit reached!
% 16.85/9.32 % (3305901)------------------------------
% 16.85/9.32 % (3305901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305901)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305901)Termination reason: Instruction limit
% 16.85/9.32 % (3305901)Termination phase: Preprocessing 1
% 16.85/9.32 % (3305901)Time elapsed: 0.104 s
% 16.85/9.32 % (3305901)Peak memory usage: 202 MB
% 16.85/9.32 % (3305901)Instructions burned: 128 (million)
% 16.85/9.32 % (3305907)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3377622382:i=437:sd=1:aac=none:ss=included_2936 on theBenchmark for (2936ds/437Mi)
% 16.85/9.32 % (3305905)lrs+10_1_sil=8000:sp=occurrence:random_seed=3326823869:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2936 on theBenchmark for (2936ds/907Mi)
% 16.85/9.32 % (3305909)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2656447123:i=5202:ss=axioms:sgt=16_2934 on theBenchmark for (2934ds/5202Mi)
% 16.85/9.32 % (3305907)Instruction limit reached!
% 16.85/9.32 % (3305907)------------------------------
% 16.85/9.32 % (3305907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305907)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305907)Termination reason: Instruction limit
% 16.85/9.32 % (3305907)Termination phase: SInE selection
% 16.85/9.32 % (3305907)Time elapsed: 0.185 s
% 16.85/9.32 % (3305907)Peak memory usage: 202 MB
% 16.85/9.32 % (3305907)Instructions burned: 438 (million)
% 16.85/9.32 % (3305912)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1120206723:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2932 on theBenchmark for (2932ds/134Mi)
% 16.85/9.32 % (3305912)Instruction limit reached!
% 16.85/9.32 % (3305912)------------------------------
% 16.85/9.32 % (3305912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305912)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305912)Termination reason: Instruction limit
% 16.85/9.32 % (3305912)Termination phase: SInE selection
% 16.85/9.32 % (3305912)Time elapsed: 0.059 s
% 16.85/9.32 % (3305912)Peak memory usage: 201 MB
% 16.85/9.32 % (3305912)Instructions burned: 134 (million)
% 16.85/9.32 % (3305914)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=836191394:st=8:i=592:sd=3:ep=RST:ss=axioms_2931 on theBenchmark for (2931ds/592Mi)
% 16.85/9.32 % (3305905)Instruction limit reached!
% 16.85/9.32 % (3305905)------------------------------
% 16.85/9.32 % (3305905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305905)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305905)Termination reason: Instruction limit
% 16.85/9.32 % (3305905)Termination phase: Preprocessing 1
% 16.85/9.32 % (3305905)Time elapsed: 0.684 s
% 16.85/9.32 % (3305905)Peak memory usage: 204 MB
% 16.85/9.32 % (3305905)Instructions burned: 907 (million)
% 16.85/9.32 % (3305914)Instruction limit reached!
% 16.85/9.32 % (3305914)------------------------------
% 16.85/9.32 % (3305914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305914)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305914)Termination reason: Instruction limit
% 16.85/9.32 % (3305914)Termination phase: SInE selection
% 16.85/9.32 % (3305914)Time elapsed: 0.218 s
% 16.85/9.32 % (3305914)Peak memory usage: 203 MB
% 16.85/9.32 % (3305914)Instructions burned: 593 (million)
% 16.85/9.32 % (3305916)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=679200824:st=3:i=13193:sd=3:ss=axioms_2927 on theBenchmark for (2927ds/13193Mi)
% 16.85/9.32 % (3305917)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=2298450274:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/125Mi)
% 16.85/9.32 % (3305917)Instruction limit reached!
% 16.85/9.32 % (3305917)------------------------------
% 16.85/9.32 % (3305917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305917)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305917)Termination reason: Instruction limit
% 16.85/9.32 % (3305917)Termination phase: Property scanning
% 16.85/9.32 % (3305917)Time elapsed: 0.064 s
% 16.85/9.32 % (3305917)Peak memory usage: 201 MB
% 16.85/9.32 % (3305917)Instructions burned: 127 (million)
% 16.85/9.32 % (3305920)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3839266144:i=134:gtgl=5:slsql=off:gtg=exists_sym_2925 on theBenchmark for (2925ds/134Mi)
% 16.85/9.32 % (3305920)Instruction limit reached!
% 16.85/9.32 % (3305920)------------------------------
% 16.85/9.32 % (3305920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305920)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305920)Termination reason: Instruction limit
% 16.85/9.32 % (3305920)Termination phase: Property scanning
% 16.85/9.32 % (3305920)Time elapsed: 0.066 s
% 16.85/9.32 % (3305920)Peak memory usage: 201 MB
% 16.85/9.32 % (3305920)Instructions burned: 136 (million)
% 16.85/9.32 % (3305922)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1620618974:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2922 on theBenchmark for (2922ds/141Mi)
% 16.85/9.32 % (3305922)Instruction limit reached!
% 16.85/9.32 % (3305922)------------------------------
% 16.85/9.32 % (3305922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305922)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305922)Termination reason: Instruction limit
% 16.85/9.32 % (3305922)Termination phase: SInE selection
% 16.85/9.32 % (3305922)Time elapsed: 0.112 s
% 16.85/9.32 % (3305922)Peak memory usage: 201 MB
% 16.85/9.32 % (3305922)Instructions burned: 142 (million)
% 16.85/9.32 % (3305897)Instruction limit reached!
% 16.85/9.32 % (3305897)------------------------------
% 16.85/9.32 % (3305897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.85/9.32 % (3305897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/9.32 % (3305897)CaDiCaL version: 2.1.3
% 16.85/9.32 % (3305897)Termination reason: Instruction limit
% 16.85/9.32 % (3305897)Termination phase: Preprocessing 3
% 16.85/9.32 % (3305897)Time elapsed: 1.848 s
% 16.85/9.32 % (3305897)Peak memory usage: 305 MB
% 16.85/9.32 % (3305897)Instructions burned: 2351 (million)
% 16.85/9.32 % (3305924)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=502414938:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2919 on theBenchmark for (2919ds/431Mi)
% 16.85/9.32 % (3305876)First to succeed.
% 16.85/9.32 % (3305876)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3305869"
% 16.85/9.32 % (3305925)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=1610472018:i=6060:aac=none:ins=25_2919 on theBenchmark for (2919ds/6060Mi)
% 16.85/9.32 % (3305876)Refutation found. Thanks to Tanya!
% 16.85/9.32 % SZS status Theorem for theBenchmark
% 16.85/9.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/9.60 % (3305876)------------------------------
% 0.17/9.60 % (3305876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/9.60 % (3305876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/9.60 % (3305876)CaDiCaL version: 2.1.3
% 0.17/9.60 % (3305876)Termination reason: Refutation
% 0.17/9.60 % (3305876)Time elapsed: 2.528 s
% 0.17/9.60 % (3305876)Peak memory usage: 289 MB
% 0.17/9.60 % (3305876)Instructions burned: 5218 (million)
% 0.17/9.60 % (3305876)------------------------------
% 0.17/9.60 % (3305876)------------------------------
% 0.17/9.60 % (3305869)Success in time 8.451 s
% 0.17/9.60 % Vampire exiting
%------------------------------------------------------------------------------