%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU406+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:53:09 PM UTC 2026
% Result : Theorem 11.26s 3.52s
% Output : Refutation 11.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 26 unt; 5 def)
% Number of atoms : 214 ( 12 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 222 ( 102 ~; 82 |; 24 &)
% ( 12 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 76 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
fof(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d4_xboole_0) ).
fof(f39,axiom,
! [X0,X1,X2] :
( r2_hidden(X0,k5_xboole_0(X1,X2))
<=> ~ ( r2_hidden(X0,X1)
<=> r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',t1_xboole_0) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).
fof(f61,axiom,
! [X0,X1] : k5_xboole_0(X0,X1) = k5_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k5_xboole_0) ).
fof(f105,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t36_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(f163,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t94_xboole_1) ).
fof(f4434,conjecture,
! [X0,X1,X2,X3] :
~ ( r2_hidden(X0,k2_xboole_0(X2,X3))
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_latsum_1) ).
fof(f4435,negated_conjecture,
~ ! [X0,X1,X2,X3] :
~ ( r2_hidden(X0,k2_xboole_0(X2,X3))
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
inference(negated_conjecture,[status(cth)],[f4434]) ).
fof(f4606,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f4616,plain,
! [X0,X1,X2] :
( r2_hidden(X0,k5_xboole_0(X1,X2))
<=> ( r2_hidden(X0,X1)
<~> r2_hidden(X0,X2) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f10103,plain,
? [X0,X1,X2,X3] :
( r2_hidden(X0,k2_xboole_0(X2,X3))
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ( ~ r2_hidden(X0,k4_xboole_0(X2,X3))
| ~ r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ( ~ r2_hidden(X0,X3)
| ~ r2_hidden(X1,X3) )
& ( ~ r2_hidden(X0,k4_xboole_0(X2,X3))
| ~ r2_hidden(X1,X3) )
& ( ~ r2_hidden(X0,X3)
| ~ r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
inference(ennf_transformation,[],[f4435]) ).
fof(f10117,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4606]) ).
fof(f10195,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f32]) ).
fof(f10210,plain,
! [X2,X0,X1] :
( r2_hidden(X0,X2)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f4616]) ).
fof(f10243,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f10245,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k5_xboole_0(X1,X0),
inference(cnf_transformation,[],[f61]) ).
fof(f10293,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f10306,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f10356,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f163]) ).
fof(f19315,plain,
( ~ r2_hidden(sK1354,k4_xboole_0(sK1355,sK1356))
| ~ r2_hidden(sK1353,k4_xboole_0(sK1355,sK1356)) ),
inference(cnf_transformation,[],[f10103]) ).
fof(f19316,plain,
( ~ r2_hidden(sK1354,sK1356)
| ~ r2_hidden(sK1353,sK1356) ),
inference(cnf_transformation,[],[f10103]) ).
fof(f19317,plain,
( ~ r2_hidden(sK1354,sK1356)
| ~ r2_hidden(sK1353,k4_xboole_0(sK1355,sK1356)) ),
inference(cnf_transformation,[],[f10103]) ).
fof(f19318,plain,
( ~ r2_hidden(sK1354,k4_xboole_0(sK1355,sK1356))
| ~ r2_hidden(sK1353,sK1356) ),
inference(cnf_transformation,[],[f10103]) ).
fof(f19319,plain,
r2_hidden(sK1354,k2_xboole_0(sK1355,sK1356)),
inference(cnf_transformation,[],[f10103]) ).
fof(f19320,plain,
r2_hidden(sK1353,k2_xboole_0(sK1355,sK1356)),
inference(cnf_transformation,[],[f10103]) ).
fof(f19325,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f10356,f10306]) ).
fof(f19374,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f10243,f10306,f10306]) ).
fof(f21374,plain,
r2_hidden(sK1353,k5_xboole_0(k5_xboole_0(sK1355,sK1356),k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356)))),
inference(definition_unfolding,[],[f19320,f19325]) ).
fof(f21375,plain,
r2_hidden(sK1354,k5_xboole_0(k5_xboole_0(sK1355,sK1356),k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356)))),
inference(definition_unfolding,[],[f19319,f19325]) ).
fof(f21396,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f10195]) ).
fof(f22426,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0)
| r1_tarski(X0,X1) ),
inference(consistent_polarity_flipping,[],[f10117]) ).
fof(f22490,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,k4_xboole_0(X0,X1))
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) ),
inference(consistent_polarity_flipping,[],[f21396]) ).
fof(f22508,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k5_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2) ),
inference(consistent_polarity_flipping,[],[f10210]) ).
fof(f22564,plain,
! [X0,X1] : ~ r1_tarski(k4_xboole_0(X0,X1),X0),
inference(consistent_polarity_flipping,[],[f10293]) ).
fof(f30681,plain,
~ r2_hidden(sK1353,k5_xboole_0(k5_xboole_0(sK1355,sK1356),k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356)))),
inference(consistent_polarity_flipping,[],[f21374]) ).
fof(f30682,plain,
~ r2_hidden(sK1354,k5_xboole_0(k5_xboole_0(sK1355,sK1356),k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356)))),
inference(consistent_polarity_flipping,[],[f21375]) ).
fof(f30683,plain,
( r2_hidden(sK1354,k4_xboole_0(sK1355,sK1356))
| r2_hidden(sK1353,sK1356) ),
inference(consistent_polarity_flipping,[],[f19318]) ).
fof(f30684,plain,
( r2_hidden(sK1354,sK1356)
| r2_hidden(sK1353,k4_xboole_0(sK1355,sK1356)) ),
inference(consistent_polarity_flipping,[],[f19317]) ).
fof(f30685,plain,
( r2_hidden(sK1354,sK1356)
| r2_hidden(sK1353,sK1356) ),
inference(consistent_polarity_flipping,[],[f19316]) ).
fof(f30686,plain,
( r2_hidden(sK1354,k4_xboole_0(sK1355,sK1356))
| r2_hidden(sK1353,k4_xboole_0(sK1355,sK1356)) ),
inference(consistent_polarity_flipping,[],[f19315]) ).
fof(f30697,definition,
( spl1357_1
<=> r2_hidden(sK1353,k4_xboole_0(sK1355,sK1356)) ),
introduced(definition,[new_symbols(definition,[spl1357_1])],[avatar_definition]) ).
fof(f30699,plain,
( r2_hidden(sK1353,k4_xboole_0(sK1355,sK1356))
| ~ spl1357_1 ),
inference(avatar_component_clause,[],[f30697]) ).
fof(f30701,definition,
( spl1357_2
<=> r2_hidden(sK1354,k4_xboole_0(sK1355,sK1356)) ),
introduced(definition,[new_symbols(definition,[spl1357_2])],[avatar_definition]) ).
fof(f30703,plain,
( r2_hidden(sK1354,k4_xboole_0(sK1355,sK1356))
| ~ spl1357_2 ),
inference(avatar_component_clause,[],[f30701]) ).
fof(f30704,plain,
( spl1357_1
| spl1357_2 ),
inference(avatar_split_clause,[],[f30686,f30701,f30697]) ).
fof(f30706,definition,
( spl1357_3
<=> r2_hidden(sK1353,sK1356) ),
introduced(definition,[new_symbols(definition,[spl1357_3])],[avatar_definition]) ).
fof(f30708,plain,
( r2_hidden(sK1353,sK1356)
| ~ spl1357_3 ),
inference(avatar_component_clause,[],[f30706]) ).
fof(f30710,definition,
( spl1357_4
<=> r2_hidden(sK1354,sK1356) ),
introduced(definition,[new_symbols(definition,[spl1357_4])],[avatar_definition]) ).
fof(f30712,plain,
( r2_hidden(sK1354,sK1356)
| ~ spl1357_4 ),
inference(avatar_component_clause,[],[f30710]) ).
fof(f30713,plain,
( spl1357_3
| spl1357_4 ),
inference(avatar_split_clause,[],[f30685,f30710,f30706]) ).
fof(f30714,plain,
( spl1357_1
| spl1357_4 ),
inference(avatar_split_clause,[],[f30684,f30710,f30697]) ).
fof(f30715,plain,
( spl1357_3
| spl1357_2 ),
inference(avatar_split_clause,[],[f30683,f30701,f30706]) ).
fof(f34677,plain,
~ r2_hidden(sK1353,k5_xboole_0(k5_xboole_0(sK1356,sK1355),k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356)))),
inference(superposition,[],[f30681,f10245]) ).
fof(f41957,plain,
( ! [X0] :
( r1_tarski(X0,sK1356)
| r2_hidden(sK1353,X0) )
| ~ spl1357_3 ),
inference(resolution,[],[f22426,f30708]) ).
fof(f41958,plain,
( ! [X0] :
( r1_tarski(X0,sK1356)
| r2_hidden(sK1354,X0) )
| ~ spl1357_4 ),
inference(resolution,[],[f22426,f30712]) ).
fof(f41971,plain,
( ! [X0] : r2_hidden(sK1354,k4_xboole_0(sK1356,X0))
| ~ spl1357_4 ),
inference(resolution,[],[f41958,f22564]) ).
fof(f52244,plain,
( ! [X0] : r2_hidden(sK1353,k4_xboole_0(sK1356,X0))
| ~ spl1357_3 ),
inference(resolution,[],[f41957,f22564]) ).
fof(f54427,plain,
( r2_hidden(sK1354,sK1355)
| ~ r2_hidden(sK1354,sK1356)
| ~ spl1357_2 ),
inference(resolution,[],[f22490,f30703]) ).
fof(f54441,plain,
( r2_hidden(sK1354,sK1355)
| ~ spl1357_2
| ~ spl1357_4 ),
inference(forward_subsumption_resolution,[],[f54427,f30712]) ).
fof(f54619,plain,
( ~ r2_hidden(sK1354,k5_xboole_0(sK1355,sK1356))
| ~ r2_hidden(sK1354,k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356))) ),
inference(resolution,[],[f22508,f30682]) ).
fof(f54621,plain,
( ~ r2_hidden(sK1353,k5_xboole_0(sK1356,sK1355))
| ~ r2_hidden(sK1353,k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356))) ),
inference(resolution,[],[f22508,f34677]) ).
fof(f54671,plain,
( ~ r2_hidden(sK1353,k4_xboole_0(sK1356,k4_xboole_0(sK1356,sK1355)))
| ~ r2_hidden(sK1353,k5_xboole_0(sK1356,sK1355)) ),
inference(forward_demodulation,[],[f54621,f19374]) ).
fof(f54673,plain,
( ~ r2_hidden(sK1354,k5_xboole_0(sK1356,sK1355))
| ~ r2_hidden(sK1354,k4_xboole_0(sK1355,k4_xboole_0(sK1355,sK1356))) ),
inference(forward_demodulation,[],[f54619,f10245]) ).
fof(f54675,plain,
( ~ r2_hidden(sK1353,k5_xboole_0(sK1356,sK1355))
| ~ spl1357_3 ),
inference(forward_subsumption_resolution,[],[f54671,f52244]) ).
fof(f54677,plain,
( ~ r2_hidden(sK1354,k4_xboole_0(sK1356,k4_xboole_0(sK1356,sK1355)))
| ~ r2_hidden(sK1354,k5_xboole_0(sK1356,sK1355)) ),
inference(forward_demodulation,[],[f54673,f19374]) ).
fof(f54679,plain,
( ~ r2_hidden(sK1354,k5_xboole_0(sK1356,sK1355))
| ~ spl1357_4 ),
inference(forward_subsumption_resolution,[],[f54677,f41971]) ).
fof(f62439,definition,
( spl1357_2075
<=> r2_hidden(sK1353,k5_xboole_0(sK1356,sK1355)) ),
introduced(definition,[new_symbols(definition,[spl1357_2075])],[avatar_definition]) ).
fof(f62440,plain,
( ~ r2_hidden(sK1353,k5_xboole_0(sK1356,sK1355))
| spl1357_2075 ),
inference(avatar_component_clause,[],[f62439]) ).
fof(f62461,plain,
( ~ spl1357_2075
| ~ spl1357_3 ),
inference(avatar_split_clause,[],[f54675,f30706,f62439]) ).
fof(f74945,plain,
( r2_hidden(sK1353,sK1355)
| ~ r2_hidden(sK1353,sK1356)
| ~ spl1357_1 ),
inference(resolution,[],[f30699,f22490]) ).
fof(f74952,plain,
( r2_hidden(sK1353,sK1355)
| ~ spl1357_1
| ~ spl1357_3 ),
inference(forward_subsumption_resolution,[],[f74945,f30708]) ).
fof(f78649,plain,
( ~ r2_hidden(sK1353,sK1356)
| ~ r2_hidden(sK1353,sK1355)
| spl1357_2075 ),
inference(resolution,[],[f62440,f22508]) ).
fof(f78662,plain,
( ~ r2_hidden(sK1353,sK1355)
| ~ spl1357_3
| spl1357_2075 ),
inference(forward_subsumption_resolution,[],[f78649,f30708]) ).
fof(f78663,plain,
( $false
| ~ spl1357_1
| ~ spl1357_3
| spl1357_2075 ),
inference(forward_subsumption_resolution,[],[f78662,f74952]) ).
fof(f78664,plain,
( ~ spl1357_1
| ~ spl1357_3
| spl1357_2075 ),
inference(avatar_contradiction_clause,[],[f78663]) ).
fof(f82118,plain,
( ~ r2_hidden(sK1354,sK1356)
| ~ r2_hidden(sK1354,sK1355)
| ~ spl1357_4 ),
inference(resolution,[],[f54679,f22508]) ).
fof(f82130,plain,
( ~ r2_hidden(sK1354,sK1355)
| ~ spl1357_4 ),
inference(forward_subsumption_resolution,[],[f82118,f30712]) ).
fof(f82131,plain,
( $false
| ~ spl1357_2
| ~ spl1357_4 ),
inference(forward_subsumption_resolution,[],[f82130,f54441]) ).
fof(f82132,plain,
( ~ spl1357_2
| ~ spl1357_4 ),
inference(avatar_contradiction_clause,[],[f82131]) ).
cnf(s1,plain,
( spl1357_1
| spl1357_2 ),
inference(sat_conversion,[],[f30704]) ).
cnf(s2,plain,
( spl1357_3
| spl1357_4 ),
inference(sat_conversion,[],[f30713]) ).
cnf(s3,plain,
( spl1357_1
| spl1357_4 ),
inference(sat_conversion,[],[f30714]) ).
cnf(s4,plain,
( spl1357_2
| spl1357_3 ),
inference(sat_conversion,[],[f30715]) ).
cnf(s1975,plain,
( ~ spl1357_3
| ~ spl1357_2075 ),
inference(sat_conversion,[],[f62461]) ).
cnf(s2860,plain,
( ~ spl1357_1
| ~ spl1357_3
| spl1357_2075 ),
inference(sat_conversion,[],[f78664]) ).
cnf(s3022,plain,
( ~ spl1357_2
| ~ spl1357_4 ),
inference(sat_conversion,[],[f82132]) ).
cnf(s3052,plain,
spl1357_1,
inference(rat,[],[s3022,s1,s3]) ).
cnf(s3054,plain,
~ spl1357_3,
inference(rat,[],[s1975,s2860,s3052]) ).
cnf(s3056,plain,
spl1357_2,
inference(rat,[],[s4,s3054]) ).
cnf(s3057,plain,
spl1357_4,
inference(rat,[],[s2,s3054]) ).
cnf(s3058,plain,
$false,
inference(rat,[],[s3022,s3057,s3056]) ).
fof(f82133,plain,
$false,
inference(avatar_sat_refutation,[],[s3058]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU406+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.45 % Computer : n002.cluster.edu
% 0.15/0.45 % Model : x86_64 x86_64
% 0.15/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.45 % Memory : 8046.5625MB
% 0.15/0.45 % OS : Linux 6.8.0-71-generic
% 0.15/0.45 % CPULimit : 300
% 0.15/0.45 % WCLimit : 300
% 0.15/0.45 % DateTime : Mon Sep 28 05:12:37 UTC 2026
% 0.15/0.45 % CPUTime :
% 0.15/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.51 Running first-order model finding
% 0.18/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.26/3.52 % (4164604)Will run a generic schedule for satisfiability detection.
% 11.26/3.52 % (4164611)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3935825729:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 11.26/3.52 % (4164609)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=489223159_2998 on theBenchmark for (2998ds/0Mi)
% 11.26/3.52 % (4164610)% WARNING: option uhcvi not known.
% 11.26/3.52 % (4164610)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2491348204:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 11.26/3.52 % (4164615)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1157148576:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 11.26/3.52 % (4164613)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=693636851:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 11.26/3.52 % (4164612)dis+10_1_sil=32000:sp=arity:random_seed=661547969:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 11.26/3.52 % (4164614)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3239238393:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 11.26/3.52 % (4164612)Instruction limit reached!
% 11.26/3.52 % (4164612)------------------------------
% 11.26/3.52 % (4164612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164612)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164612)Termination reason: Instruction limit
% 11.26/3.52 % (4164612)Termination phase: Preprocessing 3
% 11.26/3.52 % (4164612)Time elapsed: 0.116 s
% 11.26/3.52 % (4164612)Peak memory usage: 22 MB
% 11.26/3.52 % (4164612)Instructions burned: 103 (million)
% 11.26/3.52 % (4164613)Instruction limit reached!
% 11.26/3.52 % (4164613)------------------------------
% 11.26/3.52 % (4164613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164613)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164613)Termination reason: Instruction limit
% 11.26/3.52 % (4164613)Termination phase: NewCNF
% 11.26/3.52 % (4164613)Time elapsed: 0.128 s
% 11.26/3.52 % (4164613)Peak memory usage: 23 MB
% 11.26/3.52 % (4164613)Instructions burned: 116 (million)
% 11.26/3.52 % (4164614)Instruction limit reached!
% 11.26/3.52 % (4164614)------------------------------
% 11.26/3.52 % (4164614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164614)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164614)Termination reason: Instruction limit
% 11.26/3.52 % (4164614)Termination phase: Preprocessing 3
% 11.26/3.52 % (4164614)Time elapsed: 0.142 s
% 11.26/3.52 % (4164614)Peak memory usage: 23 MB
% 11.26/3.52 % (4164614)Instructions burned: 131 (million)
% 11.26/3.52 % (4164623)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3791046496:i=714:nm=2_2996 on theBenchmark for (2996ds/714Mi)
% 11.26/3.52 % (4164624)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3256539570:i=131:bd=preordered:fsd=on_2996 on theBenchmark for (2996ds/131Mi)
% 11.26/3.52 % (4164615)Instruction limit reached!
% 11.26/3.52 % (4164615)------------------------------
% 11.26/3.52 % (4164615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164615)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164615)Termination reason: Instruction limit
% 11.26/3.52 % (4164615)Termination phase: Preprocessing 3
% 11.26/3.52 % (4164615)Time elapsed: 0.172 s
% 11.26/3.52 % (4164615)Peak memory usage: 24 MB
% 11.26/3.52 % (4164615)Instructions burned: 160 (million)
% 11.26/3.52 % (4164626)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=990659128:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 11.26/3.52 % (4164628)ott-21_1_sil=16000:fs=off:random_seed=1356988970:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 11.26/3.52 % (4164624)Instruction limit reached!
% 11.26/3.52 % (4164624)------------------------------
% 11.26/3.52 % (4164624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164624)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164624)Termination reason: Instruction limit
% 11.26/3.52 % (4164624)Termination phase: Preprocessing 3
% 11.26/3.52 % (4164624)Time elapsed: 0.145 s
% 11.26/3.52 % (4164624)Peak memory usage: 23 MB
% 11.26/3.52 % (4164624)Instructions burned: 131 (million)
% 11.26/3.52 % (4164631)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=647730034:i=477:bd=all_2994 on theBenchmark for (2994ds/477Mi)
% 11.26/3.52 % (4164628)Instruction limit reached!
% 11.26/3.52 % (4164628)------------------------------
% 11.26/3.52 % (4164628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164628)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164628)Termination reason: Instruction limit
% 11.26/3.52 % (4164628)Termination phase: Property scanning
% 11.26/3.52 % (4164628)Time elapsed: 0.197 s
% 11.26/3.52 % (4164628)Peak memory usage: 26 MB
% 11.26/3.52 % (4164628)Instructions burned: 180 (million)
% 11.26/3.52 % (4164633)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2231361020:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 11.26/3.52 % (4164623)Instruction limit reached!
% 11.26/3.52 % (4164623)------------------------------
% 11.26/3.52 % (4164623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164623)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164623)Termination reason: Instruction limit
% 11.26/3.52 % (4164623)Termination phase: Finite model building preprocessing
% 11.26/3.52 % (4164623)Time elapsed: 0.644 s
% 11.26/3.52 % (4164623)Peak memory usage: 36 MB
% 11.26/3.52 % (4164623)Instructions burned: 714 (million)
% 11.26/3.52 % (4164631)Instruction limit reached!
% 11.26/3.52 % (4164631)------------------------------
% 11.26/3.52 % (4164631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164631)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164631)Termination reason: Instruction limit
% 11.26/3.52 % (4164631)Termination phase: Saturation
% 11.26/3.52 % (4164631)Time elapsed: 0.448 s
% 11.26/3.52 % (4164631)Peak memory usage: 29 MB
% 11.26/3.52 % (4164631)Instructions burned: 477 (million)
% 11.26/3.52 % (4164626)Instruction limit reached!
% 11.26/3.52 % (4164626)------------------------------
% 11.26/3.52 % (4164626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164626)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164626)Termination reason: Instruction limit
% 11.26/3.52 % (4164626)Termination phase: Saturation
% 11.26/3.52 % (4164626)Time elapsed: 0.627 s
% 11.26/3.52 % (4164626)Peak memory usage: 32 MB
% 11.26/3.52 % (4164626)Instructions burned: 684 (million)
% 11.26/3.52 % (4164635)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=25968827:i=1179_2990 on theBenchmark for (2990ds/1179Mi)
% 11.26/3.52 % (4164636)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3335950794:i=889:ins=1_2989 on theBenchmark for (2989ds/889Mi)
% 11.26/3.52 % (4164637)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1374074986:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2989 on theBenchmark for (2989ds/692Mi)
% 11.26/3.52 % (4164633)Instruction limit reached!
% 11.26/3.52 % (4164633)------------------------------
% 11.26/3.52 % (4164633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164633)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164633)Termination reason: Instruction limit
% 11.26/3.52 % (4164633)Termination phase: Finite model building preprocessing
% 11.26/3.52 % (4164633)Time elapsed: 0.729 s
% 11.26/3.52 % (4164633)Peak memory usage: 35 MB
% 11.26/3.52 % (4164633)Instructions burned: 865 (million)
% 11.26/3.52 % (4164641)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=44374236:i=879:kws=inv_precedence:fsr=off_2986 on theBenchmark for (2986ds/879Mi)
% 11.26/3.52 % (4164637)Instruction limit reached!
% 11.26/3.52 % (4164637)------------------------------
% 11.26/3.52 % (4164637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164637)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164637)Termination reason: Instruction limit
% 11.26/3.52 % (4164637)Termination phase: Saturation
% 11.26/3.52 % (4164637)Time elapsed: 0.642 s
% 11.26/3.52 % (4164637)Peak memory usage: 33 MB
% 11.26/3.52 % (4164637)Instructions burned: 692 (million)
% 11.26/3.52 % (4164643)fmb+10_1_sil=64000:random_seed=463975252:i=22061:nm=2:gsp=on_2982 on theBenchmark for (2982ds/22061Mi)
% 11.26/3.52 % (4164636)Instruction limit reached!
% 11.26/3.52 % (4164636)------------------------------
% 11.26/3.52 % (4164636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164636)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164636)Termination reason: Instruction limit
% 11.26/3.52 % (4164636)Termination phase: Finite model building preprocessing
% 11.26/3.52 % (4164636)Time elapsed: 0.803 s
% 11.26/3.52 % (4164636)Peak memory usage: 35 MB
% 11.26/3.52 % (4164636)Instructions burned: 889 (million)
% 11.26/3.52 % (4164645)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=813753287:i=9515:nm=5_2981 on theBenchmark for (2981ds/9515Mi)
% 11.26/3.52 % (4164635)Instruction limit reached!
% 11.26/3.52 % (4164635)------------------------------
% 11.26/3.52 % (4164635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164635)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164635)Termination reason: Instruction limit
% 11.26/3.52 % (4164635)Termination phase: Saturation
% 11.26/3.52 % (4164635)Time elapsed: 1.074 s
% 11.26/3.52 % (4164635)Peak memory usage: 40 MB
% 11.26/3.52 % (4164635)Instructions burned: 1180 (million)
% 11.26/3.52 % (4164647)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2219226841:fmbsr=1.7:i=920_2978 on theBenchmark for (2978ds/920Mi)
% 11.26/3.52 % (4164641)Instruction limit reached!
% 11.26/3.52 % (4164641)------------------------------
% 11.26/3.52 % (4164641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164641)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164641)Termination reason: Instruction limit
% 11.26/3.52 % (4164641)Termination phase: Saturation
% 11.26/3.52 % (4164641)Time elapsed: 0.820 s
% 11.26/3.52 % (4164641)Peak memory usage: 40 MB
% 11.26/3.52 % (4164641)Instructions burned: 880 (million)
% 11.26/3.52 % (4164649)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=96004106:i=5131_2977 on theBenchmark for (2977ds/5131Mi)
% 11.26/3.52 % (4164647)Instruction limit reached!
% 11.26/3.52 % (4164647)------------------------------
% 11.26/3.52 % (4164647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.52 % (4164647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.52 % (4164647)CaDiCaL version: 2.1.3
% 11.26/3.52 % (4164647)Termination reason: Instruction limit
% 11.26/3.52 % (4164647)Termination phase: Finite model building preprocessing
% 11.26/3.52 % (4164647)Time elapsed: 0.718 s
% 11.26/3.52 % (4164647)Peak memory usage: 36 MB
% 11.26/3.52 % (4164647)Instructions burned: 920 (million)
% 11.26/3.52 % (4164653)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2586912554:i=1472:ins=7:fdi=8:gsp=on_2971 on theBenchmark for (2971ds/1472Mi)
% 11.26/3.52 % (4164610) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4164604-4164610"...
% 11.26/3.52 % (4164610)...printing done.
% 11.26/3.52 % (4164610)Refutation found. Thanks to Tanya!
% 11.26/3.52 % SZS status Theorem for theBenchmark
% 11.26/3.52 % SZS output start Proof for theBenchmark
% See solution above
% 11.26/3.53 % (4164610)------------------------------
% 11.26/3.53 % (4164610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/3.53 % (4164610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/3.53 % (4164610)CaDiCaL version: 2.1.3
% 11.26/3.53 % (4164610)Termination reason: Refutation
% 11.26/3.53 % (4164610)Time elapsed: 2.751 s
% 11.26/3.53 % (4164610)Peak memory usage: 55 MB
% 11.26/3.53 % (4164610)Instructions burned: 2696 (million)
% 11.26/3.53 % (4164604)Success in time 2.999 s
% 11.26/3.53 % Vampire exiting
%------------------------------------------------------------------------------