%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU417+3 : 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 : n026.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 12:48:51 PM UTC 2026
% Result : Theorem 11.00s 3.36s
% Output : Refutation 11.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 17 unt; 6 def)
% Number of atoms : 173 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 170 ( 74 ~; 71 |; 7 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 0 sgn 73 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f177,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k3_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_xboole_1) ).
fof(f574,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f658,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( r1_tarski(X1,X2)
=> r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_setfam_1) ).
fof(f674,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(f19052,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
=> m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_relset_2) ).
fof(f19055,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
=> k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).
fof(f19074,conjecture,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relset_2) ).
fof(f19075,negated_conjecture,
~ ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
inference(negated_conjecture,[status(cth)],[f19074]) ).
fof(f19094,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f19052]) ).
fof(f19095,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f19094]) ).
fof(f19100,plain,
! [X0,X1,X2] :
( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f19055]) ).
fof(f19101,plain,
! [X0,X1,X2] :
( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f19100]) ).
fof(f19119,plain,
? [X0,X1] :
( ? [X2] :
( ~ r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2)))
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f19075]) ).
fof(f19142,plain,
! [X0,X1,X2] :
( r1_tarski(k3_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f19434,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f574]) ).
fof(f19435,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f19434]) ).
fof(f19469,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f674]) ).
fof(f19470,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f658]) ).
fof(f19471,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f19470]) ).
fof(f19485,plain,
( ~ r1_tarski(k5_subset_1(sK4,k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,sK6)),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6)))
& m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4)))
& m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(sK4))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f19119]) ).
fof(f19605,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19095]) ).
fof(f19608,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k1_relset_2(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19101]) ).
fof(f19633,plain,
m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(sK4))),
inference(cnf_transformation,[],[f19485]) ).
fof(f19634,plain,
m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4))),
inference(cnf_transformation,[],[f19485]) ).
fof(f19635,plain,
~ r1_tarski(k5_subset_1(sK4,k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,sK6)),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6))),
inference(cnf_transformation,[],[f19485]) ).
fof(f19666,plain,
! [X2,X0,X1] :
( r1_tarski(k3_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f19142]) ).
fof(f19683,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f86]) ).
fof(f20121,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f19435]) ).
fof(f20163,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19469]) ).
fof(f20164,plain,
! [X2,X0,X1] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19471]) ).
fof(f20280,plain,
( ~ r1_tarski(k3_xboole_0(k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,sK6)),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6)))
| ~ m1_subset_1(k8_setfam_1(sK4,sK5),k1_zfmisc_1(sK4))
| ~ m1_subset_1(k8_setfam_1(sK4,sK6),k1_zfmisc_1(sK4)) ),
inference(superposition,[],[f19635,f20121]) ).
fof(f20284,definition,
( spl71_9
<=> m1_subset_1(k1_relset_2(sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK4))) ),
introduced(definition,[new_symbols(definition,[spl71_9])],[avatar_definition]) ).
fof(f20285,plain,
( ~ m1_subset_1(k1_relset_2(sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_9 ),
inference(avatar_component_clause,[],[f20284]) ).
fof(f20295,definition,
( spl71_12
<=> m1_subset_1(k8_setfam_1(sK4,sK6),k1_zfmisc_1(sK4)) ),
introduced(definition,[new_symbols(definition,[spl71_12])],[avatar_definition]) ).
fof(f20296,plain,
( ~ m1_subset_1(k8_setfam_1(sK4,sK6),k1_zfmisc_1(sK4))
| spl71_12 ),
inference(avatar_component_clause,[],[f20295]) ).
fof(f20298,definition,
( spl71_13
<=> m1_subset_1(k8_setfam_1(sK4,sK5),k1_zfmisc_1(sK4)) ),
introduced(definition,[new_symbols(definition,[spl71_13])],[avatar_definition]) ).
fof(f20299,plain,
( ~ m1_subset_1(k8_setfam_1(sK4,sK5),k1_zfmisc_1(sK4))
| spl71_13 ),
inference(avatar_component_clause,[],[f20298]) ).
fof(f20301,definition,
( spl71_14
<=> r1_tarski(k3_xboole_0(k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,sK6)),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl71_14])],[avatar_definition]) ).
fof(f20302,plain,
( ~ r1_tarski(k3_xboole_0(k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,sK6)),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6)))
| spl71_14 ),
inference(avatar_component_clause,[],[f20301]) ).
fof(f20303,plain,
( ~ spl71_12
| ~ spl71_13
| ~ spl71_14 ),
inference(avatar_split_clause,[],[f20280,f20301,f20298,f20295]) ).
fof(f20384,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_13 ),
inference(resolution,[],[f20299,f20163]) ).
fof(f20389,plain,
( $false
| spl71_13 ),
inference(forward_subsumption_resolution,[],[f20384,f19633]) ).
fof(f20390,plain,
spl71_13,
inference(avatar_contradiction_clause,[],[f20389]) ).
fof(f20396,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_12 ),
inference(resolution,[],[f20296,f20163]) ).
fof(f20401,plain,
( $false
| spl71_12 ),
inference(forward_subsumption_resolution,[],[f20396,f19634]) ).
fof(f20402,plain,
spl71_12,
inference(avatar_contradiction_clause,[],[f20401]) ).
fof(f20416,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_9 ),
inference(resolution,[],[f20285,f19605]) ).
fof(f20421,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_9 ),
inference(forward_subsumption_resolution,[],[f20416,f19633]) ).
fof(f20423,plain,
( $false
| spl71_9 ),
inference(forward_subsumption_resolution,[],[f20421,f19634]) ).
fof(f20424,plain,
spl71_9,
inference(avatar_contradiction_clause,[],[f20423]) ).
fof(f22472,plain,
( ~ r1_tarski(k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6)))
| spl71_14 ),
inference(resolution,[],[f20302,f19666]) ).
fof(f22492,definition,
( spl71_217
<=> r1_tarski(k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl71_217])],[avatar_definition]) ).
fof(f22493,plain,
( ~ r1_tarski(k8_setfam_1(sK4,sK5),k8_setfam_1(sK4,k1_relset_2(sK4,sK5,sK6)))
| spl71_217 ),
inference(avatar_component_clause,[],[f22492]) ).
fof(f22516,plain,
( ~ spl71_217
| spl71_14 ),
inference(avatar_split_clause,[],[f22472,f20301,f22492]) ).
fof(f23712,plain,
( ~ r1_tarski(k1_relset_2(sK4,sK5,sK6),sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| ~ m1_subset_1(k1_relset_2(sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_217 ),
inference(resolution,[],[f22493,f20164]) ).
fof(f23747,plain,
( ~ r1_tarski(k1_relset_2(sK4,sK5,sK6),sK5)
| ~ m1_subset_1(k1_relset_2(sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_217 ),
inference(forward_subsumption_resolution,[],[f23712,f19633]) ).
fof(f23754,definition,
( spl71_303
<=> r1_tarski(k1_relset_2(sK4,sK5,sK6),sK5) ),
introduced(definition,[new_symbols(definition,[spl71_303])],[avatar_definition]) ).
fof(f23755,plain,
( ~ r1_tarski(k1_relset_2(sK4,sK5,sK6),sK5)
| spl71_303 ),
inference(avatar_component_clause,[],[f23754]) ).
fof(f23756,plain,
( ~ spl71_9
| ~ spl71_303
| spl71_217 ),
inference(avatar_split_clause,[],[f23747,f22492,f23754,f20284]) ).
fof(f24353,plain,
( ~ r1_tarski(k3_xboole_0(sK5,sK6),sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_303 ),
inference(superposition,[],[f23755,f19608]) ).
fof(f24354,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_303 ),
inference(forward_subsumption_resolution,[],[f24353,f19683]) ).
fof(f24355,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| spl71_303 ),
inference(forward_subsumption_resolution,[],[f24354,f19633]) ).
fof(f24356,plain,
( $false
| spl71_303 ),
inference(forward_subsumption_resolution,[],[f24355,f19634]) ).
fof(f24357,plain,
spl71_303,
inference(avatar_contradiction_clause,[],[f24356]) ).
cnf(s6,plain,
( ~ spl71_12
| ~ spl71_13
| ~ spl71_14 ),
inference(sat_conversion,[],[f20303]) ).
cnf(s17,plain,
spl71_13,
inference(sat_conversion,[],[f20390]) ).
cnf(s19,plain,
spl71_12,
inference(sat_conversion,[],[f20402]) ).
cnf(s21,plain,
spl71_9,
inference(sat_conversion,[],[f20424]) ).
cnf(s219,plain,
( spl71_14
| ~ spl71_217 ),
inference(sat_conversion,[],[f22516]) ).
cnf(s365,plain,
( ~ spl71_9
| spl71_217
| ~ spl71_303 ),
inference(sat_conversion,[],[f23756]) ).
cnf(s434,plain,
spl71_303,
inference(sat_conversion,[],[f24357]) ).
cnf(s435,plain,
( ~ spl71_9
| spl71_217 ),
inference(rat,[],[s365,s434]) ).
cnf(s480,plain,
spl71_217,
inference(rat,[],[s435,s21]) ).
cnf(s481,plain,
spl71_14,
inference(rat,[],[s219,s480]) ).
cnf(s504,plain,
$false,
inference(rat,[],[s6,s481,s17,s19]) ).
fof(f24358,plain,
$false,
inference(avatar_sat_refutation,[],[s504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU417+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n026.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 05:19:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 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
% 11.00/3.36 % (3490974)Detected formulas, will run a generic FOF schedule.
% 11.00/3.36 % (3490983)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2336682692:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 11.00/3.36 % (3490982)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=719860628:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 11.00/3.36 % (3490981)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=3551956599:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 11.00/3.36 % (3490979)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=2441533731:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 11.00/3.36 % (3490980)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=958962240:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 11.00/3.36 % (3490985)dis-21_1_sil=8000:lcm=predicate:random_seed=1614141643:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 11.00/3.36 % (3490984)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1254233558:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 11.00/3.36 % (3490983)Instruction limit reached!
% 11.00/3.36 % (3490983)------------------------------
% 11.00/3.36 % (3490983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490983)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490983)Termination reason: Instruction limit
% 11.00/3.36 % (3490983)Termination phase: Preprocessing 1
% 11.00/3.36 % (3490983)Time elapsed: 0.063 s
% 11.00/3.36 % (3490983)Peak memory usage: 113 MB
% 11.00/3.36 % (3490983)Instructions burned: 120 (million)
% 11.00/3.36 % (3490982)Instruction limit reached!
% 11.00/3.36 % (3490982)------------------------------
% 11.00/3.36 % (3490982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490982)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490982)Termination reason: Instruction limit
% 11.00/3.36 % (3490982)Termination phase: SInE selection
% 11.00/3.36 % (3490982)Time elapsed: 0.084 s
% 11.00/3.36 % (3490982)Peak memory usage: 112 MB
% 11.00/3.36 % (3490982)Instructions burned: 109 (million)
% 11.00/3.36 % (3490984)Instruction limit reached!
% 11.00/3.36 % (3490984)------------------------------
% 11.00/3.36 % (3490984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490984)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490984)Termination reason: Instruction limit
% 11.00/3.36 % (3490984)Termination phase: Property scanning
% 11.00/3.36 % (3490984)Time elapsed: 0.061 s
% 11.00/3.36 % (3490984)Peak memory usage: 112 MB
% 11.00/3.36 % (3490984)Instructions burned: 141 (million)
% 11.00/3.36 % (3490985)Instruction limit reached!
% 11.00/3.36 % (3490985)------------------------------
% 11.00/3.36 % (3490985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490985)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490985)Termination reason: Instruction limit
% 11.00/3.36 % (3490985)Termination phase: SInE selection
% 11.00/3.36 % (3490985)Time elapsed: 0.093 s
% 11.00/3.36 % (3490985)Peak memory usage: 112 MB
% 11.00/3.36 % (3490985)Instructions burned: 130 (million)
% 11.00/3.36 % (3490993)lrs+10_1_sil=8000:sp=occurrence:random_seed=98915739:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 11.00/3.36 % (3490994)lrs+10_1_sil=32000:urr=on:br=off:random_seed=150899341:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 11.00/3.36 % (3490995)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3702703718:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 11.00/3.36 % (3490993)Instruction limit reached!
% 11.00/3.36 % (3490993)------------------------------
% 11.00/3.36 % (3490993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490993)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490993)Termination reason: Instruction limit
% 11.00/3.36 % (3490993)Termination phase: Saturation
% 11.00/3.36 % (3490993)Time elapsed: 0.117 s
% 11.00/3.36 % (3490993)Peak memory usage: 119 MB
% 11.00/3.36 % (3490993)Instructions burned: 285 (million)
% 11.00/3.36 % (3490996)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=2553077974:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 11.00/3.36 % (3490994)Instruction limit reached!
% 11.00/3.36 % (3490994)------------------------------
% 11.00/3.36 % (3490994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490994)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490994)Termination reason: Instruction limit
% 11.00/3.36 % (3490994)Termination phase: Property scanning
% 11.00/3.36 % (3490994)Time elapsed: 0.069 s
% 11.00/3.36 % (3490994)Peak memory usage: 112 MB
% 11.00/3.36 % (3490994)Instructions burned: 159 (million)
% 11.00/3.36 % (3491000)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=531821042:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 11.00/3.36 % (3490996)Instruction limit reached!
% 11.00/3.36 % (3490996)------------------------------
% 11.00/3.36 % (3490996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490996)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490996)Termination reason: Instruction limit
% 11.00/3.36 % (3490996)Termination phase: Property scanning
% 11.00/3.36 % (3490996)Time elapsed: 0.109 s
% 11.00/3.36 % (3490996)Peak memory usage: 112 MB
% 11.00/3.36 % (3490996)Instructions burned: 248 (million)
% 11.00/3.36 % (3491002)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2530506275:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 11.00/3.36 % (3490995)Instruction limit reached!
% 11.00/3.36 % (3490995)------------------------------
% 11.00/3.36 % (3490995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3490995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3490995)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3490995)Termination reason: Instruction limit
% 11.00/3.36 % (3490995)Termination phase: Saturation
% 11.00/3.36 % (3490995)Time elapsed: 0.245 s
% 11.00/3.36 % (3490995)Peak memory usage: 118 MB
% 11.00/3.36 % (3490995)Instructions burned: 325 (million)
% 11.00/3.36 % (3491000)Instruction limit reached!
% 11.00/3.36 % (3491000)------------------------------
% 11.00/3.36 % (3491000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3491000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3491000)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3491000)Termination reason: Instruction limit
% 11.00/3.36 % (3491000)Termination phase: Function definition elimination
% 11.00/3.36 % (3491000)Time elapsed: 0.121 s
% 11.00/3.36 % (3491000)Peak memory usage: 118 MB
% 11.00/3.36 % (3491000)Instructions burned: 295 (million)
% 11.00/3.36 % (3491004)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2171088077:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 11.00/3.36 % (3491007)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1408646969:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 11.00/3.36 % (3491007)Instruction limit reached!
% 11.00/3.36 % (3491007)------------------------------
% 11.00/3.36 % (3491007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3491007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3491007)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3491007)Termination reason: Instruction limit
% 11.00/3.36 % (3491007)Termination phase: Property scanning
% 11.00/3.36 % (3491007)Time elapsed: 0.027 s
% 11.00/3.36 % (3491007)Peak memory usage: 112 MB
% 11.00/3.36 % (3491007)Instructions burned: 116 (million)
% 11.00/3.36 % (3491006)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1647197221:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 11.00/3.36 % (3491004)Instruction limit reached!
% 11.00/3.36 % (3491004)------------------------------
% 11.00/3.36 % (3491004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3491004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3491004)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3491004)Termination reason: Instruction limit
% 11.00/3.36 % (3491004)Termination phase: SInE selection
% 11.00/3.36 % (3491004)Time elapsed: 0.092 s
% 11.00/3.36 % (3491004)Peak memory usage: 112 MB
% 11.00/3.36 % (3491004)Instructions burned: 113 (million)
% 11.00/3.36 % (3491006)Instruction limit reached!
% 11.00/3.36 % (3491006)------------------------------
% 11.00/3.36 % (3491006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3491006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3491006)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3491006)Termination reason: Instruction limit
% 11.00/3.36 % (3491006)Termination phase: Preprocessing 1
% 11.00/3.36 % (3491006)Time elapsed: 0.093 s
% 11.00/3.36 % (3491006)Peak memory usage: 113 MB
% 11.00/3.36 % (3491006)Instructions burned: 128 (million)
% 11.00/3.36 % (3491011)lrs+10_1_sil=8000:sp=occurrence:random_seed=2055785505:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 11.00/3.36 % (3491012)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=97135842:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 11.00/3.36 % (3491014)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3123521156:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 11.00/3.36 % (3491012)First to succeed.
% 11.00/3.36 % (3491012)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3490974"
% 11.00/3.36 % (3491011)Instruction limit reached!
% 11.00/3.36 % (3491011)------------------------------
% 11.00/3.36 % (3491011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3491011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3491011)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3491011)Termination reason: Instruction limit
% 11.00/3.36 % (3491011)Termination phase: Saturation
% 11.00/3.36 % (3491011)Time elapsed: 0.309 s
% 11.00/3.36 % (3491011)Peak memory usage: 131 MB
% 11.00/3.36 % (3491011)Instructions burned: 910 (million)
% 11.00/3.36 % (3491017)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1328179087:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 11.00/3.36 % (3491017)Instruction limit reached!
% 11.00/3.36 % (3491017)------------------------------
% 11.00/3.36 % (3491017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/3.36 % (3491017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/3.36 % (3491017)CaDiCaL version: 2.1.3
% 11.00/3.36 % (3491017)Termination reason: Instruction limit
% 11.00/3.36 % (3491017)Termination phase: NewCNF
% 11.00/3.36 % (3491017)Time elapsed: 0.069 s
% 11.00/3.36 % (3491017)Peak memory usage: 115 MB
% 11.00/3.36 % (3491017)Instructions burned: 136 (million)
% 11.00/3.36 % (3491012)Refutation found. Thanks to Tanya!
% 11.00/3.36 % SZS status Theorem for theBenchmark
% 11.00/3.36 % SZS output start Proof for theBenchmark
% See solution above
% 11.60/3.57 % (3491012)------------------------------
% 11.60/3.57 % (3491012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/3.57 % (3491012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/3.57 % (3491012)CaDiCaL version: 2.1.3
% 11.60/3.57 % (3491012)Termination reason: Refutation
% 11.60/3.57 % (3491012)Time elapsed: 0.230 s
% 11.60/3.57 % (3491012)Peak memory usage: 120 MB
% 11.60/3.57 % (3491012)Instructions burned: 300 (million)
% 11.60/3.57 % (3491012)------------------------------
% 11.60/3.57 % (3491012)------------------------------
% 11.60/3.57 % (3490974)Success in time 2.505 s
% 11.60/3.57 % Vampire exiting
%------------------------------------------------------------------------------