%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU417+2 : 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 : n002.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 12.86s 3.30s
% Output : Refutation 13.72s
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t108_xboole_1) ).
fof(f437,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/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f521,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/sandbox2/benchmark/theBenchmark.p',t59_setfam_1) ).
fof(f537,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/sandbox2/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(f4453,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/sandbox2/benchmark/theBenchmark.p',dt_k1_relset_2) ).
fof(f4456,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/sandbox2/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).
fof(f4475,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/sandbox2/benchmark/theBenchmark.p',t7_relset_2) ).
fof(f4476,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)],[f4475]) ).
fof(f4485,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,[],[f4453]) ).
fof(f4486,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,[],[f4485]) ).
fof(f4491,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,[],[f4456]) ).
fof(f4492,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,[],[f4491]) ).
fof(f4510,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,[],[f4476]) ).
fof(f4548,plain,
! [X0,X1,X2] :
( r1_tarski(k3_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f4812,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,[],[f437]) ).
fof(f4813,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,[],[f4812]) ).
fof(f4839,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,[],[f537]) ).
fof(f4840,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,[],[f521]) ).
fof(f4841,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,[],[f4840]) ).
fof(f4849,plain,
( ~ r1_tarski(k5_subset_1(sK1,k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,sK3)),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3)))
& m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f4510]) ).
fof(f4955,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,[],[f4486]) ).
fof(f4958,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,[],[f4492]) ).
fof(f4983,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f4849]) ).
fof(f4984,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f4849]) ).
fof(f4985,plain,
~ r1_tarski(k5_subset_1(sK1,k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,sK3)),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3))),
inference(cnf_transformation,[],[f4849]) ).
fof(f5045,plain,
! [X2,X0,X1] :
( r1_tarski(k3_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4548]) ).
fof(f5058,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f86]) ).
fof(f5440,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,[],[f4813]) ).
fof(f5459,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,[],[f4839]) ).
fof(f5460,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,[],[f4841]) ).
fof(f5545,plain,
( ~ r1_tarski(k3_xboole_0(k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,sK3)),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3)))
| ~ m1_subset_1(k8_setfam_1(sK1,sK2),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_setfam_1(sK1,sK3),k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f4985,f5440]) ).
fof(f5549,definition,
( spl65_5
<=> m1_subset_1(k8_setfam_1(sK1,sK3),k1_zfmisc_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl65_5])],[avatar_definition]) ).
fof(f5550,plain,
( ~ m1_subset_1(k8_setfam_1(sK1,sK3),k1_zfmisc_1(sK1))
| spl65_5 ),
inference(avatar_component_clause,[],[f5549]) ).
fof(f5552,definition,
( spl65_6
<=> m1_subset_1(k8_setfam_1(sK1,sK2),k1_zfmisc_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl65_6])],[avatar_definition]) ).
fof(f5553,plain,
( ~ m1_subset_1(k8_setfam_1(sK1,sK2),k1_zfmisc_1(sK1))
| spl65_6 ),
inference(avatar_component_clause,[],[f5552]) ).
fof(f5555,definition,
( spl65_7
<=> r1_tarski(k3_xboole_0(k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,sK3)),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl65_7])],[avatar_definition]) ).
fof(f5556,plain,
( ~ r1_tarski(k3_xboole_0(k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,sK3)),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3)))
| spl65_7 ),
inference(avatar_component_clause,[],[f5555]) ).
fof(f5557,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_7 ),
inference(avatar_split_clause,[],[f5545,f5555,f5552,f5549]) ).
fof(f5559,definition,
( spl65_8
<=> m1_subset_1(k1_relset_2(sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
introduced(definition,[new_symbols(definition,[spl65_8])],[avatar_definition]) ).
fof(f5560,plain,
( ~ m1_subset_1(k1_relset_2(sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_8 ),
inference(avatar_component_clause,[],[f5559]) ).
fof(f5615,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_5 ),
inference(resolution,[],[f5550,f5459]) ).
fof(f5618,plain,
( $false
| spl65_5 ),
inference(forward_subsumption_resolution,[],[f5615,f4984]) ).
fof(f5619,plain,
spl65_5,
inference(avatar_contradiction_clause,[],[f5618]) ).
fof(f5621,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_6 ),
inference(resolution,[],[f5553,f5459]) ).
fof(f5624,plain,
( $false
| spl65_6 ),
inference(forward_subsumption_resolution,[],[f5621,f4983]) ).
fof(f5625,plain,
spl65_6,
inference(avatar_contradiction_clause,[],[f5624]) ).
fof(f5641,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_8 ),
inference(resolution,[],[f5560,f4955]) ).
fof(f5646,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_8 ),
inference(forward_subsumption_resolution,[],[f5641,f4983]) ).
fof(f5648,plain,
( $false
| spl65_8 ),
inference(forward_subsumption_resolution,[],[f5646,f4984]) ).
fof(f5649,plain,
spl65_8,
inference(avatar_contradiction_clause,[],[f5648]) ).
fof(f6195,plain,
( ~ r1_tarski(k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3)))
| spl65_7 ),
inference(resolution,[],[f5556,f5045]) ).
fof(f6208,definition,
( spl65_95
<=> r1_tarski(k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl65_95])],[avatar_definition]) ).
fof(f6209,plain,
( ~ r1_tarski(k8_setfam_1(sK1,sK2),k8_setfam_1(sK1,k1_relset_2(sK1,sK2,sK3)))
| spl65_95 ),
inference(avatar_component_clause,[],[f6208]) ).
fof(f6227,plain,
( ~ spl65_95
| spl65_7 ),
inference(avatar_split_clause,[],[f6195,f5555,f6208]) ).
fof(f6892,plain,
( ~ r1_tarski(k1_relset_2(sK1,sK2,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(k1_relset_2(sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_95 ),
inference(resolution,[],[f6209,f5460]) ).
fof(f6920,plain,
( ~ r1_tarski(k1_relset_2(sK1,sK2,sK3),sK2)
| ~ m1_subset_1(k1_relset_2(sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_95 ),
inference(forward_subsumption_resolution,[],[f6892,f4983]) ).
fof(f6923,definition,
( spl65_146
<=> r1_tarski(k1_relset_2(sK1,sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl65_146])],[avatar_definition]) ).
fof(f6924,plain,
( ~ r1_tarski(k1_relset_2(sK1,sK2,sK3),sK2)
| spl65_146 ),
inference(avatar_component_clause,[],[f6923]) ).
fof(f6925,plain,
( ~ spl65_8
| ~ spl65_146
| spl65_95 ),
inference(avatar_split_clause,[],[f6920,f6208,f6923,f5559]) ).
fof(f7298,plain,
( ~ r1_tarski(k3_xboole_0(sK2,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_146 ),
inference(superposition,[],[f6924,f4958]) ).
fof(f7299,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_146 ),
inference(forward_subsumption_resolution,[],[f7298,f5058]) ).
fof(f7300,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| spl65_146 ),
inference(forward_subsumption_resolution,[],[f7299,f4983]) ).
fof(f7301,plain,
( $false
| spl65_146 ),
inference(forward_subsumption_resolution,[],[f7300,f4984]) ).
fof(f7302,plain,
spl65_146,
inference(avatar_contradiction_clause,[],[f7301]) ).
cnf(s3,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_7 ),
inference(sat_conversion,[],[f5557]) ).
cnf(s11,plain,
spl65_5,
inference(sat_conversion,[],[f5619]) ).
cnf(s12,plain,
spl65_6,
inference(sat_conversion,[],[f5625]) ).
cnf(s14,plain,
spl65_8,
inference(sat_conversion,[],[f5649]) ).
cnf(s79,plain,
( spl65_7
| ~ spl65_95 ),
inference(sat_conversion,[],[f6227]) ).
cnf(s151,plain,
( ~ spl65_8
| spl65_95
| ~ spl65_146 ),
inference(sat_conversion,[],[f6925]) ).
cnf(s189,plain,
spl65_146,
inference(sat_conversion,[],[f7302]) ).
cnf(s190,plain,
( ~ spl65_8
| spl65_95 ),
inference(rat,[],[s151,s189]) ).
cnf(s212,plain,
spl65_95,
inference(rat,[],[s190,s14]) ).
cnf(s213,plain,
spl65_7,
inference(rat,[],[s79,s212]) ).
cnf(s241,plain,
$false,
inference(rat,[],[s3,s213,s12,s11]) ).
fof(f7303,plain,
$false,
inference(avatar_sat_refutation,[],[s241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU417+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n002.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 05:19:07 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.47 Running first-order theorem proving
% 0.13/0.47 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
% 12.86/3.30 % (4174035)Detected formulas, will run a generic FOF schedule.
% 12.86/3.30 % (4174046)dis-21_1_sil=8000:lcm=predicate:random_seed=1057967633:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 12.86/3.30 % (4174046)Instruction limit reached!
% 12.86/3.30 % (4174046)------------------------------
% 12.86/3.30 % (4174046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174046)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174046)Termination reason: Instruction limit
% 12.86/3.30 % (4174046)Termination phase: Property scanning
% 12.86/3.30 % (4174046)Time elapsed: 0.067 s
% 12.86/3.30 % (4174046)Peak memory usage: 95 MB
% 12.86/3.30 % (4174046)Instructions burned: 129 (million)
% 12.86/3.30 % (4174041)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=1850646185:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 12.86/3.30 % (4174043)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3076309096:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 12.86/3.30 % (4174040)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=455889323:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 12.86/3.30 % (4174042)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=780671504:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 12.86/3.30 % (4174044)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=279952889:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 12.86/3.30 % (4174045)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3759093318:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 12.86/3.30 % (4174043)Instruction limit reached!
% 12.86/3.30 % (4174043)------------------------------
% 12.86/3.30 % (4174043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174043)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174043)Termination reason: Instruction limit
% 12.86/3.30 % (4174043)Termination phase: Saturation
% 12.86/3.30 % (4174043)Time elapsed: 0.110 s
% 12.86/3.30 % (4174043)Peak memory usage: 93 MB
% 12.86/3.30 % (4174043)Instructions burned: 109 (million)
% 12.86/3.30 % (4174044)Instruction limit reached!
% 12.86/3.30 % (4174044)------------------------------
% 12.86/3.30 % (4174044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174044)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174044)Termination reason: Instruction limit
% 12.86/3.30 % (4174044)Termination phase: Saturation
% 12.86/3.30 % (4174044)Time elapsed: 0.129 s
% 12.86/3.30 % (4174044)Peak memory usage: 94 MB
% 12.86/3.30 % (4174044)Instructions burned: 119 (million)
% 12.86/3.30 % (4174045)Instruction limit reached!
% 12.86/3.30 % (4174045)------------------------------
% 12.86/3.30 % (4174045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174045)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174045)Termination reason: Instruction limit
% 12.86/3.30 % (4174045)Termination phase: Preprocessing 3
% 12.86/3.30 % (4174045)Time elapsed: 0.150 s
% 12.86/3.30 % (4174045)Peak memory usage: 94 MB
% 12.86/3.30 % (4174045)Instructions burned: 139 (million)
% 12.86/3.30 % (4174048)lrs+10_1_sil=8000:sp=occurrence:random_seed=2868377165:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 12.86/3.30 % (4174048)Instruction limit reached!
% 12.86/3.30 % (4174048)------------------------------
% 12.86/3.30 % (4174048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174048)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174048)Termination reason: Instruction limit
% 12.86/3.30 % (4174048)Termination phase: Saturation
% 12.86/3.30 % (4174048)Time elapsed: 0.169 s
% 12.86/3.30 % (4174048)Peak memory usage: 97 MB
% 12.86/3.30 % (4174048)Instructions burned: 286 (million)
% 12.86/3.30 % (4174055)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3441947762:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 12.86/3.30 % (4174056)lrs+1011_1_sil=32000:sp=occurrence:random_seed=105289576:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 12.86/3.30 % (4174058)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=407524599:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 12.86/3.30 % (4174055)Instruction limit reached!
% 12.86/3.30 % (4174055)------------------------------
% 12.86/3.30 % (4174055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174055)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174055)Termination reason: Instruction limit
% 12.86/3.30 % (4174055)Termination phase: Saturation
% 12.86/3.30 % (4174055)Time elapsed: 0.151 s
% 12.86/3.30 % (4174055)Peak memory usage: 94 MB
% 12.86/3.30 % (4174055)Instructions burned: 157 (million)
% 12.86/3.30 % (4174059)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3847273724:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 12.86/3.30 % (4174058)Instruction limit reached!
% 12.86/3.30 % (4174058)------------------------------
% 12.86/3.30 % (4174058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174058)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174058)Termination reason: Instruction limit
% 12.86/3.30 % (4174058)Termination phase: Property scanning
% 12.86/3.30 % (4174058)Time elapsed: 0.248 s
% 12.86/3.30 % (4174058)Peak memory usage: 98 MB
% 12.86/3.30 % (4174058)Instructions burned: 248 (million)
% 12.86/3.30 % (4174059)Instruction limit reached!
% 12.86/3.30 % (4174059)------------------------------
% 12.86/3.30 % (4174059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174059)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174059)Termination reason: Instruction limit
% 12.86/3.30 % (4174059)Termination phase: Saturation
% 12.86/3.30 % (4174059)Time elapsed: 0.137 s
% 12.86/3.30 % (4174059)Peak memory usage: 97 MB
% 12.86/3.30 % (4174059)Instructions burned: 295 (million)
% 12.86/3.30 % (4174063)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2592037773:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 12.86/3.30 % (4174056)Instruction limit reached!
% 12.86/3.30 % (4174056)------------------------------
% 12.86/3.30 % (4174056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174056)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174056)Termination reason: Instruction limit
% 12.86/3.30 % (4174056)Termination phase: Saturation
% 12.86/3.30 % (4174056)Time elapsed: 0.343 s
% 12.86/3.30 % (4174056)Peak memory usage: 96 MB
% 12.86/3.30 % (4174056)Instructions burned: 325 (million)
% 12.86/3.30 % (4174067)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1315136060:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 12.86/3.30 % (4174067)Instruction limit reached!
% 12.86/3.30 % (4174067)------------------------------
% 12.86/3.30 % (4174067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174067)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174067)Termination reason: Instruction limit
% 12.86/3.30 % (4174067)Termination phase: Preprocessing 3
% 12.86/3.30 % (4174067)Time elapsed: 0.050 s
% 12.86/3.30 % (4174067)Peak memory usage: 97 MB
% 12.86/3.30 % (4174067)Instructions burned: 127 (million)
% 12.86/3.30 % (4174065)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3119576366:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 12.86/3.30 % (4174065)Instruction limit reached!
% 12.86/3.30 % (4174065)------------------------------
% 12.86/3.30 % (4174065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174065)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174065)Termination reason: Instruction limit
% 12.86/3.30 % (4174065)Termination phase: Saturation
% 12.86/3.30 % (4174065)Time elapsed: 0.072 s
% 12.86/3.30 % (4174065)Peak memory usage: 94 MB
% 12.86/3.30 % (4174065)Instructions burned: 115 (million)
% 12.86/3.30 % (4174070)lrs+10_1_sil=8000:sp=occurrence:random_seed=1039593544:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 12.86/3.30 % (4174068)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=751720560:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 12.86/3.30 % (4174068)Instruction limit reached!
% 12.86/3.30 % (4174068)------------------------------
% 12.86/3.30 % (4174068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174068)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174068)Termination reason: Instruction limit
% 12.86/3.30 % (4174068)Termination phase: SInE selection
% 12.86/3.30 % (4174068)Time elapsed: 0.100 s
% 12.86/3.30 % (4174068)Peak memory usage: 89 MB
% 12.86/3.30 % (4174068)Instructions burned: 114 (million)
% 12.86/3.30 % (4174072)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1590465783:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 12.86/3.30 % (4174072)First to succeed.
% 12.86/3.30 % (4174072)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4174035"
% 12.86/3.30 % (4174075)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2646145355:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 12.86/3.30 % (4174070)Instruction limit reached!
% 12.86/3.30 % (4174070)------------------------------
% 12.86/3.30 % (4174070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.30 % (4174070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.30 % (4174070)CaDiCaL version: 2.1.3
% 12.86/3.30 % (4174070)Termination reason: Instruction limit
% 12.86/3.30 % (4174070)Termination phase: Saturation
% 12.86/3.30 % (4174070)Time elapsed: 0.338 s
% 12.86/3.30 % (4174070)Peak memory usage: 105 MB
% 12.86/3.30 % (4174070)Instructions burned: 909 (million)
% 12.86/3.30 % (4174078)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3792517770:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 12.86/3.30 % (4174072)Refutation found. Thanks to Tanya!
% 12.86/3.30 % SZS status Theorem for theBenchmark
% 12.86/3.30 % SZS output start Proof for theBenchmark
% See solution above
% 13.72/3.50 % (4174072)------------------------------
% 13.72/3.50 % (4174072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/3.50 % (4174072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/3.50 % (4174072)CaDiCaL version: 2.1.3
% 13.72/3.50 % (4174072)Termination reason: Refutation
% 13.72/3.50 % (4174072)Time elapsed: 0.079 s
% 13.72/3.50 % (4174072)Peak memory usage: 96 MB
% 13.72/3.50 % (4174072)Instructions burned: 115 (million)
% 13.72/3.50 % (4174072)------------------------------
% 13.72/3.50 % (4174072)------------------------------
% 13.72/3.50 % (4174035)Success in time 2.055 s
% 13.72/3.50 % Vampire exiting
%------------------------------------------------------------------------------