%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU440+1 : 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 12:49:04 PM UTC 2026
% Result : Theorem 5.89s 1.87s
% Output : Refutation 9.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 174 ( 56 unt; 14 def)
% Number of atoms : 344 ( 75 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 301 ( 131 ~; 129 |; 12 &)
% ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-5 aty)
% Number of variables : 186 ( 0 sgn 181 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
& r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
& r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,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(f6,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(f17,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(f19,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(f22,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(f45,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(f47,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(f48,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(f49,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(f51,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(f52,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(f56,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f58,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(f59,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_relat_1) ).
fof(f67,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) != k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
| ~ r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) )
& m2_relset_1(X4,X1,X2) )
& m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f76,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f77,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,[],[f19]) ).
fof(f78,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,[],[f77]) ).
fof(f79,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,[],[f22]) ).
fof(f96,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,[],[f45]) ).
fof(f98,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f99,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,[],[f48]) ).
fof(f100,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,[],[f99]) ).
fof(f101,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,[],[f51]) ).
fof(f102,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,[],[f101]) ).
fof(f103,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,[],[f52]) ).
fof(f110,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,[],[f58]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f116,plain,
( ( k1_funct_5(k9_relset_2(sK0,sK1,sK2,sK3,sK4)) != k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK3),k1_funct_5(sK4))
| ~ r1_tarski(k1_funct_5(k9_relset_2(sK0,sK1,sK2,sK3,sK4)),k1_funct_5(sK3)) )
& m2_relset_1(sK4,sK1,sK2)
& m2_relset_1(sK3,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f67]) ).
fof(f125,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,[],[f49]) ).
fof(f126,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f127,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f128,plain,
m2_relset_1(sK4,sK1,sK2),
inference(cnf_transformation,[],[f116]) ).
fof(f129,plain,
( k1_funct_5(k9_relset_2(sK0,sK1,sK2,sK3,sK4)) != k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK3),k1_funct_5(sK4))
| ~ r1_tarski(k1_funct_5(k9_relset_2(sK0,sK1,sK2,sK3,sK4)),k1_funct_5(sK3)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f137,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f139,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,[],[f79]) ).
fof(f173,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,[],[f96]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f176,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)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(cnf_transformation,[],[f100]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f180,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f186,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f191,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f196,definition,
sF13 = k9_relset_2(sK0,sK1,sK2,sK3,sK4),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f197,plain,
k9_relset_2(sK0,sK1,sK2,sK3,sK4) = sF13,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF14 = k1_funct_5(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f199,plain,
k1_funct_5(sF13) = sF14,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF15 = k6_relset_1(sK0,sK1,sK3),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f201,plain,
k6_relset_1(sK0,sK1,sK3) = sF15,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF16 = k1_funct_5(sK4),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f203,plain,
k1_funct_5(sK4) = sF16,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF17 = k10_relset_1(sK1,sK0,sF15,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f205,plain,
k10_relset_1(sK1,sK0,sF15,sF16) = sF17,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF18 = k1_funct_5(sK3),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f207,plain,
k1_funct_5(sK3) = sF18,
inference(reorient_equations,[],[f206]) ).
fof(f208,plain,
( sF14 != sF17
| ~ r1_tarski(sF14,sF18) ),
inference(definition_folding,[],[f129,f207,f199,f197,f205,f203,f201,f199,f197]) ).
fof(f210,definition,
( spl19_1
<=> r1_tarski(sF14,sF18) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f212,plain,
( ~ r1_tarski(sF14,sF18)
| spl19_1 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f214,definition,
( spl19_2
<=> sF14 = sF17 ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f215,plain,
( sF14 = sF17
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f208,f214,f210]) ).
fof(f218,plain,
k1_funct_5(sK4) = k10_relset_1(sK2,sK1,k6_relset_1(sK1,sK2,sK4),sK2),
inference(resolution,[],[f190,f128]) ).
fof(f219,plain,
k1_funct_5(sK3) = k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK3),sK1),
inference(resolution,[],[f190,f127]) ).
fof(f220,plain,
k1_funct_5(sK3) = k10_relset_1(sK1,sK0,sF15,sK1),
inference(forward_demodulation,[],[f219,f201]) ).
fof(f221,plain,
sF16 = k10_relset_1(sK2,sK1,k6_relset_1(sK1,sK2,sK4),sK2),
inference(forward_demodulation,[],[f218,f203]) ).
fof(f222,plain,
sF18 = k10_relset_1(sK1,sK0,sF15,sK1),
inference(forward_demodulation,[],[f220,f207]) ).
fof(f225,plain,
m1_relset_1(sK4,sK1,sK2),
inference(resolution,[],[f177,f128]) ).
fof(f226,plain,
m1_relset_1(sK3,sK0,sK1),
inference(resolution,[],[f177,f127]) ).
fof(f227,plain,
k6_relset_1(sK0,sK1,sK3) = k4_relat_1(sK3),
inference(resolution,[],[f226,f175]) ).
fof(f228,plain,
sF15 = k4_relat_1(sK3),
inference(forward_demodulation,[],[f227,f201]) ).
fof(f229,plain,
k6_relset_1(sK1,sK2,sK4) = k4_relat_1(sK4),
inference(resolution,[],[f225,f175]) ).
fof(f230,plain,
sF16 = k10_relset_1(sK2,sK1,k4_relat_1(sK4),sK2),
inference(superposition,[],[f221,f229]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f139,f132]) ).
fof(f232,plain,
v1_relat_1(sK4),
inference(resolution,[],[f231,f128]) ).
fof(f233,plain,
v1_relat_1(sK3),
inference(resolution,[],[f231,f127]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X1,X2,X3,X0,X4) = k5_relat_1(X0,X4)
| ~ m2_relset_1(X4,X2,X3) ),
inference(resolution,[],[f176,f139]) ).
fof(f239,plain,
( m2_relset_1(sF13,sK0,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK1,sK2))) ),
inference(superposition,[],[f138,f197]) ).
fof(f241,definition,
( spl19_3
<=> m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f243,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))
| spl19_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl19_4
<=> m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f246,plain,
( m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl19_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl19_5
<=> m2_relset_1(sF13,sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f251,plain,
( m2_relset_1(sF13,sK0,sK2)
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( ~ spl19_3
| ~ spl19_4
| spl19_5 ),
inference(avatar_split_clause,[],[f239,f249,f245,f241]) ).
fof(f264,plain,
( ~ m2_relset_1(sK4,sK1,sK2)
| spl19_3 ),
inference(resolution,[],[f243,f139]) ).
fof(f265,plain,
( $false
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f264,f128]) ).
fof(f266,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f327,plain,
( ~ m2_relset_1(sK3,sK0,sK1)
| spl19_4 ),
inference(resolution,[],[f247,f139]) ).
fof(f328,plain,
( $false
| spl19_4 ),
inference(forward_subsumption_resolution,[],[f327,f127]) ).
fof(f329,plain,
spl19_4,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f331,plain,
( m1_relset_1(sF13,sK0,sK2)
| ~ spl19_5 ),
inference(resolution,[],[f251,f177]) ).
fof(f333,plain,
( k1_funct_5(sF13) = k10_relset_1(sK2,sK0,k6_relset_1(sK0,sK2,sF13),sK2)
| ~ spl19_5 ),
inference(resolution,[],[f251,f190]) ).
fof(f334,plain,
( sF14 = k10_relset_1(sK2,sK0,k6_relset_1(sK0,sK2,sF13),sK2)
| ~ spl19_5 ),
inference(forward_demodulation,[],[f333,f199]) ).
fof(f365,plain,
( m2_relset_1(sF15,sK1,sK0)
| ~ m1_relset_1(sK3,sK0,sK1) ),
inference(superposition,[],[f137,f201]) ).
fof(f367,plain,
( m2_relset_1(k4_relat_1(sK4),sK2,sK1)
| ~ m1_relset_1(sK4,sK1,sK2) ),
inference(superposition,[],[f137,f229]) ).
fof(f378,plain,
m2_relset_1(k4_relat_1(sK4),sK2,sK1),
inference(forward_subsumption_resolution,[],[f367,f225]) ).
fof(f388,plain,
m2_relset_1(sF15,sK1,sK0),
inference(forward_subsumption_resolution,[],[f365,f226]) ).
fof(f389,plain,
v1_relat_1(sF15),
inference(resolution,[],[f388,f231]) ).
fof(f390,plain,
m1_relset_1(sF15,sK1,sK0),
inference(resolution,[],[f388,f177]) ).
fof(f395,plain,
! [X0] : k10_relset_1(sK1,sK0,sF15,X0) = k9_relat_1(sF15,X0),
inference(resolution,[],[f390,f173]) ).
fof(f401,plain,
sF17 = k9_relat_1(sF15,sF16),
inference(superposition,[],[f205,f395]) ).
fof(f402,plain,
sF18 = k9_relat_1(sF15,sK1),
inference(superposition,[],[f222,f395]) ).
fof(f408,plain,
! [X0] :
( r1_tarski(k9_relat_1(sF15,X0),sF18)
| ~ r1_tarski(X0,sK1)
| ~ v1_relat_1(sF15) ),
inference(superposition,[],[f180,f402]) ).
fof(f411,plain,
! [X0] :
( r1_tarski(k9_relat_1(sF15,X0),sF18)
| ~ r1_tarski(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f408,f389]) ).
fof(f412,plain,
v1_relat_1(k4_relat_1(sK4)),
inference(resolution,[],[f378,f231]) ).
fof(f413,plain,
m1_relset_1(k4_relat_1(sK4),sK2,sK1),
inference(resolution,[],[f378,f177]) ).
fof(f418,plain,
! [X0] : k10_relset_1(sK2,sK1,k4_relat_1(sK4),X0) = k9_relat_1(k4_relat_1(sK4),X0),
inference(resolution,[],[f413,f173]) ).
fof(f422,plain,
( r1_tarski(sF17,sF18)
| ~ r1_tarski(sF16,sK1) ),
inference(superposition,[],[f411,f401]) ).
fof(f425,definition,
( spl19_18
<=> r1_tarski(sF16,sK1) ),
introduced(definition,[new_symbols(definition,[spl19_18])],[avatar_definition]) ).
fof(f427,plain,
( ~ r1_tarski(sF16,sK1)
| spl19_18 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f429,definition,
( spl19_19
<=> r1_tarski(sF17,sF18) ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f431,plain,
( r1_tarski(sF17,sF18)
| ~ spl19_19 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,plain,
( ~ spl19_18
| spl19_19 ),
inference(avatar_split_clause,[],[f422,f429,f425]) ).
fof(f435,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(k5_relat_1(X0,sF15),X1) = k9_relat_1(sF15,k9_relat_1(X0,X1)) ),
inference(resolution,[],[f389,f181]) ).
fof(f443,plain,
! [X0] : k9_relat_1(k5_relat_1(k4_relat_1(sK4),sF15),X0) = k9_relat_1(sF15,k9_relat_1(k4_relat_1(sK4),X0)),
inference(resolution,[],[f412,f435]) ).
fof(f523,plain,
( k6_relset_1(sK0,sK2,sF13) = k4_relat_1(sF13)
| ~ spl19_5 ),
inference(resolution,[],[f331,f175]) ).
fof(f526,plain,
( sF14 = k10_relset_1(sK2,sK0,k4_relat_1(sF13),sK2)
| ~ spl19_5 ),
inference(superposition,[],[f334,f523]) ).
fof(f527,plain,
( m2_relset_1(k4_relat_1(sF13),sK2,sK0)
| ~ m1_relset_1(sF13,sK0,sK2)
| ~ spl19_5 ),
inference(superposition,[],[f137,f523]) ).
fof(f528,plain,
( m2_relset_1(k4_relat_1(sF13),sK2,sK0)
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f527,f331]) ).
fof(f544,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k5_relat_1(X0,sK4)) = k5_relat_1(k4_relat_1(sK4),k4_relat_1(X0)) ),
inference(resolution,[],[f191,f232]) ).
fof(f577,plain,
sF16 = k9_relat_1(k4_relat_1(sK4),sK2),
inference(superposition,[],[f418,f230]) ).
fof(f597,plain,
( m1_subset_1(sF16,k1_zfmisc_1(sK1))
| ~ m1_relset_1(k4_relat_1(sK4),sK2,sK1) ),
inference(superposition,[],[f133,f230]) ).
fof(f606,plain,
m1_subset_1(sF16,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f597,f413]) ).
fof(f608,definition,
( spl19_32
<=> m1_relset_1(k4_relat_1(sF13),sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl19_32])],[avatar_definition]) ).
fof(f609,plain,
( m1_relset_1(k4_relat_1(sF13),sK2,sK0)
| ~ spl19_32 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( ~ m1_relset_1(k4_relat_1(sF13),sK2,sK0)
| spl19_32 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f662,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,sK1,X0)
| k9_relset_2(sK0,sK1,X0,sK3,X1) = k5_relat_1(sK3,X1) )
| ~ spl19_4 ),
inference(resolution,[],[f234,f246]) ).
fof(f711,plain,
( k9_relset_2(sK0,sK1,sK2,sK3,sK4) = k5_relat_1(sK3,sK4)
| ~ spl19_4 ),
inference(resolution,[],[f662,f128]) ).
fof(f713,plain,
( sF13 = k5_relat_1(sK3,sK4)
| ~ spl19_4 ),
inference(forward_demodulation,[],[f711,f197]) ).
fof(f771,plain,
k4_relat_1(k5_relat_1(sK3,sK4)) = k5_relat_1(k4_relat_1(sK4),k4_relat_1(sK3)),
inference(resolution,[],[f544,f233]) ).
fof(f776,plain,
k5_relat_1(k4_relat_1(sK4),sF15) = k4_relat_1(k5_relat_1(sK3,sK4)),
inference(forward_demodulation,[],[f771,f228]) ).
fof(f778,plain,
( k4_relat_1(sF13) = k5_relat_1(k4_relat_1(sK4),sF15)
| ~ spl19_4 ),
inference(forward_demodulation,[],[f776,f713]) ).
fof(f783,plain,
( ! [X0] : k9_relat_1(sF15,k9_relat_1(k4_relat_1(sK4),X0)) = k9_relat_1(k4_relat_1(sF13),X0)
| ~ spl19_4 ),
inference(superposition,[],[f443,f778]) ).
fof(f811,plain,
( k9_relat_1(sF15,sF16) = k9_relat_1(k4_relat_1(sF13),sK2)
| ~ spl19_4 ),
inference(superposition,[],[f783,f577]) ).
fof(f820,plain,
( sF17 = k9_relat_1(k4_relat_1(sF13),sK2)
| ~ spl19_4 ),
inference(forward_demodulation,[],[f811,f401]) ).
fof(f1325,plain,
r1_tarski(sF16,sK1),
inference(resolution,[],[f186,f606]) ).
fof(f1334,plain,
( $false
| spl19_18 ),
inference(forward_subsumption_resolution,[],[f1325,f427]) ).
fof(f1335,plain,
spl19_18,
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1518,plain,
( m1_relset_1(k4_relat_1(sF13),sK2,sK0)
| ~ spl19_5 ),
inference(resolution,[],[f528,f177]) ).
fof(f1523,plain,
( $false
| ~ spl19_5
| spl19_32 ),
inference(forward_subsumption_resolution,[],[f1518,f610]) ).
fof(f1524,plain,
( ~ spl19_5
| spl19_32 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1529,plain,
( ! [X0] : k9_relat_1(k4_relat_1(sF13),X0) = k10_relset_1(sK2,sK0,k4_relat_1(sF13),X0)
| ~ spl19_32 ),
inference(resolution,[],[f609,f173]) ).
fof(f1534,plain,
( sF14 = k9_relat_1(k4_relat_1(sF13),sK2)
| ~ spl19_5
| ~ spl19_32 ),
inference(superposition,[],[f526,f1529]) ).
fof(f1536,plain,
( sF14 = sF17
| ~ spl19_4
| ~ spl19_5
| ~ spl19_32 ),
inference(forward_demodulation,[],[f1534,f820]) ).
fof(f1538,plain,
( spl19_2
| ~ spl19_4
| ~ spl19_5
| ~ spl19_32 ),
inference(avatar_split_clause,[],[f1536,f608,f249,f245,f214]) ).
fof(f1540,plain,
( r1_tarski(sF14,sF18)
| ~ spl19_2
| ~ spl19_19 ),
inference(superposition,[],[f431,f215]) ).
fof(f1544,plain,
( $false
| spl19_1
| ~ spl19_2
| ~ spl19_19 ),
inference(forward_subsumption_resolution,[],[f1540,f212]) ).
fof(f1545,plain,
( spl19_1
| ~ spl19_2
| ~ spl19_19 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f217]) ).
cnf(s2,plain,
( ~ spl19_3
| ~ spl19_4
| spl19_5 ),
inference(sat_conversion,[],[f252]) ).
cnf(s3,plain,
spl19_3,
inference(sat_conversion,[],[f266]) ).
cnf(s12,plain,
spl19_4,
inference(sat_conversion,[],[f329]) ).
cnf(s15,plain,
( ~ spl19_18
| spl19_19 ),
inference(sat_conversion,[],[f432]) ).
cnf(s75,plain,
spl19_18,
inference(sat_conversion,[],[f1335]) ).
cnf(s85,plain,
( ~ spl19_5
| spl19_32 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s86,plain,
( spl19_2
| ~ spl19_4
| ~ spl19_5
| ~ spl19_32 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s88,plain,
( spl19_1
| ~ spl19_2
| ~ spl19_19 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s92,plain,
spl19_19,
inference(rat,[],[s15,s75]) ).
cnf(s99,plain,
spl19_5,
inference(rat,[],[s2,s12,s3]) ).
cnf(s100,plain,
spl19_32,
inference(rat,[],[s85,s99]) ).
cnf(s104,plain,
spl19_2,
inference(rat,[],[s86,s100,s12,s99]) ).
cnf(s110,plain,
spl19_1,
inference(rat,[],[s88,s92,s104]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s1,s104,s110]) ).
fof(f1546,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU440+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 05:30:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.89/1.87 % (1609185)Detected formulas, will run a generic FOF schedule.
% 5.89/1.87 % (1609195)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3022698709:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.89/1.87 % (1609196)dis-21_1_sil=8000:lcm=predicate:random_seed=1948021722: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)
% 5.89/1.87 % (1609194)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1405377786:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.89/1.87 % (1609191)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=246198734:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.89/1.87 % (1609193)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1308369734:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.89/1.87 % (1609190)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=366190912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.89/1.87 % (1609192)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=769821534:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.89/1.87 % (1609193)Refutation not found, incomplete strategy
% 5.89/1.87 % (1609193)------------------------------
% 5.89/1.87 % (1609193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609193)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609193)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.87 % (1609193)Time elapsed: 0.002 s
% 5.89/1.87 % (1609193)Peak memory usage: 88 MB
% 5.89/1.87 % (1609193)Instructions burned: 1 (million)
% 5.89/1.87 % (1609195)Instruction limit reached!
% 5.89/1.87 % (1609195)------------------------------
% 5.89/1.87 % (1609195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609195)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609195)Termination reason: Instruction limit
% 5.89/1.87 % (1609195)Termination phase: Saturation
% 5.89/1.87 % (1609195)Time elapsed: 0.050 s
% 5.89/1.87 % (1609195)Peak memory usage: 90 MB
% 5.89/1.87 % (1609195)Instructions burned: 140 (million)
% 5.89/1.87 % (1609194)Instruction limit reached!
% 5.89/1.87 % (1609194)------------------------------
% 5.89/1.87 % (1609194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609194)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609194)Termination reason: Instruction limit
% 5.89/1.87 % (1609194)Termination phase: Saturation
% 5.89/1.87 % (1609194)Time elapsed: 0.067 s
% 5.89/1.87 % (1609194)Peak memory usage: 88 MB
% 5.89/1.87 % (1609194)Instructions burned: 120 (million)
% 5.89/1.87 % (1609196)Instruction limit reached!
% 5.89/1.87 % (1609196)------------------------------
% 5.89/1.87 % (1609196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609196)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609196)Termination reason: Instruction limit
% 5.89/1.87 % (1609196)Termination phase: Saturation
% 5.89/1.87 % (1609196)Time elapsed: 0.080 s
% 5.89/1.87 % (1609196)Peak memory usage: 90 MB
% 5.89/1.87 % (1609196)Instructions burned: 130 (million)
% 5.89/1.87 % (1609204)lrs+10_1_sil=8000:sp=occurrence:random_seed=1292474843:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.89/1.87 % (1609205)lrs+10_1_sil=32000:urr=on:br=off:random_seed=563773392:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.89/1.87 % (1609206)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1420172857:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.89/1.87 % (1609193)------------------------------
% 5.89/1.87 % (1609193)------------------------------
% 5.89/1.87 % (1609204)Instruction limit reached!
% 5.89/1.87 % (1609204)------------------------------
% 5.89/1.87 % (1609204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609204)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609204)Termination reason: Instruction limit
% 5.89/1.87 % (1609204)Termination phase: Saturation
% 5.89/1.87 % (1609204)Time elapsed: 0.089 s
% 5.89/1.87 % (1609204)Peak memory usage: 92 MB
% 5.89/1.87 % (1609204)Instructions burned: 286 (million)
% 5.89/1.87 % (1609205)Instruction limit reached!
% 5.89/1.87 % (1609205)------------------------------
% 5.89/1.87 % (1609205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609205)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609205)Termination reason: Instruction limit
% 5.89/1.87 % (1609205)Termination phase: Saturation
% 5.89/1.87 % (1609205)Time elapsed: 0.096 s
% 5.89/1.87 % (1609205)Peak memory usage: 91 MB
% 5.89/1.87 % (1609205)Instructions burned: 159 (million)
% 5.89/1.87 % (1609211)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2953099399:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.89/1.87 % (1609210)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=3826245268:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.89/1.87 % (1609211)Refutation not found, incomplete strategy
% 5.89/1.87 % (1609211)------------------------------
% 5.89/1.87 % (1609211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609211)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609211)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.87 % (1609211)Time elapsed: 0.003 s
% 5.89/1.87 % (1609211)Peak memory usage: 89 MB
% 5.89/1.87 % (1609211)Instructions burned: 6 (million)
% 5.89/1.87 % (1609206)Instruction limit reached!
% 5.89/1.87 % (1609206)------------------------------
% 5.89/1.87 % (1609206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609206)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609206)Termination reason: Instruction limit
% 5.89/1.87 % (1609206)Termination phase: Saturation
% 5.89/1.87 % (1609206)Time elapsed: 0.221 s
% 5.89/1.87 % (1609206)Peak memory usage: 92 MB
% 5.89/1.87 % (1609206)Instructions burned: 325 (million)
% 5.89/1.87 % (1609212)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3017722917:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.89/1.87 % (1609210)Instruction limit reached!
% 5.89/1.87 % (1609210)------------------------------
% 5.89/1.87 % (1609210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609210)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609210)Termination reason: Instruction limit
% 5.89/1.87 % (1609210)Termination phase: Saturation
% 5.89/1.87 % (1609210)Time elapsed: 0.134 s
% 5.89/1.87 % (1609210)Peak memory usage: 93 MB
% 5.89/1.87 % (1609210)Instructions burned: 249 (million)
% 5.89/1.87 % (1609211)------------------------------
% 5.89/1.87 % (1609211)------------------------------
% 5.89/1.87 % (1609215)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1677207808:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.89/1.87 % (1609217)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=777880508:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.89/1.87 % (1609215)Instruction limit reached!
% 5.89/1.87 % (1609215)------------------------------
% 5.89/1.87 % (1609215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609215)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609215)Termination reason: Instruction limit
% 5.89/1.87 % (1609215)Termination phase: Saturation
% 5.89/1.87 % (1609215)Time elapsed: 0.080 s
% 5.89/1.87 % (1609215)Peak memory usage: 90 MB
% 5.89/1.87 % (1609215)Instructions burned: 113 (million)
% 5.89/1.87 % (1609217)Instruction limit reached!
% 5.89/1.87 % (1609217)------------------------------
% 5.89/1.87 % (1609217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609217)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609217)Termination reason: Instruction limit
% 5.89/1.87 % (1609217)Termination phase: Saturation
% 5.89/1.87 % (1609217)Time elapsed: 0.058 s
% 5.89/1.87 % (1609217)Peak memory usage: 89 MB
% 5.89/1.87 % (1609217)Instructions burned: 128 (million)
% 5.89/1.87 % (1609219)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4165679741:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.89/1.87 % (1609190)First to succeed.
% 5.89/1.87 % (1609219)Instruction limit reached!
% 5.89/1.87 % (1609219)------------------------------
% 5.89/1.87 % (1609219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609219)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609219)Termination reason: Instruction limit
% 5.89/1.87 % (1609219)Termination phase: Saturation
% 5.89/1.87 % (1609219)Time elapsed: 0.060 s
% 5.89/1.87 % (1609219)Peak memory usage: 89 MB
% 5.89/1.87 % (1609219)Instructions burned: 114 (million)
% 5.89/1.87 % (1609190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1609185"
% 5.89/1.87 % (1609221)lrs+10_1_sil=8000:sp=occurrence:random_seed=3778877518:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.89/1.87 % (1609191)Also succeeded, but the first one will report.
% 5.89/1.87 % (1609222)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4135046492:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.89/1.87 % (1609222)Refutation not found, incomplete strategy
% 5.89/1.87 % (1609222)------------------------------
% 5.89/1.87 % (1609222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.87 % (1609222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.87 % (1609222)CaDiCaL version: 2.1.3
% 5.89/1.87 % (1609222)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.87 % (1609222)Time elapsed: 0.003 s
% 5.89/1.87 % (1609222)Peak memory usage: 88 MB
% 5.89/1.87 % (1609222)Instructions burned: 3 (million)
% 5.89/1.87 % (1609225)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1422979446:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 5.89/1.87 % (1609190)Refutation found. Thanks to Tanya!
% 5.89/1.87 % SZS status Theorem for theBenchmark
% 5.89/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 9.28/2.07 % (1609190)------------------------------
% 9.28/2.07 % (1609190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.28/2.07 % (1609190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/2.07 % (1609190)CaDiCaL version: 2.1.3
% 9.28/2.07 % (1609190)Termination reason: Refutation
% 9.28/2.07 % (1609190)Time elapsed: 0.840 s
% 9.28/2.07 % (1609190)Peak memory usage: 131 MB
% 9.28/2.07 % (1609190)Instructions burned: 1225 (million)
% 9.28/2.07 % (1609190)------------------------------
% 9.28/2.07 % (1609190)------------------------------
% 9.28/2.07 % (1609185)Success in time 1.261 s
% 9.28/2.07 % Vampire exiting
%------------------------------------------------------------------------------