%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM694+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:16:32 PM UTC 2026
% Result : Theorem 5.82s 1.49s
% Output : Refutation 6.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 89 ( 22 unt; 7 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 228 ( 99 ~; 97 |; 15 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
gg_TPTP_ind(scratc2094053556nd_n_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Scratch__tptp__translate__50151__9814_ONUM694__thf__4__p_Obnd__n__1) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2135361906_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f149,axiom,
pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aTP_Lamm_bo)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz24) ).
fof(f197,axiom,
pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aTP_Lamm_gy)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz13) ).
fof(f229,axiom,
scratc2135361906_is_of(scratc2094053556nd_n_1,aTP_Lamm_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__1__p) ).
fof(f305,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bo,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),scratc2094053556nd_n_1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__15) ).
fof(f327,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
<=> pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__37) ).
fof(f393,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__103) ).
fof(f573,conjecture,
pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f574,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),
inference(negated_conjecture,[status(cth)],[f573]) ).
fof(f575,plain,
~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),
inference(flattening,[],[f574]) ).
fof(f592,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2135361906_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f593,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2135361906_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f592]) ).
fof(f657,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),X1)) ) ),
inference(ennf_transformation,[],[f393]) ).
fof(f812,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2135361906_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2135361906_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f593]) ).
fof(f813,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2135361906_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2135361906_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1)) ) ),
inference(rectify,[],[f812]) ).
fof(f814,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc2135361906_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2135361906_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f813]) ).
fof(f848,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bo,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),scratc2094053556nd_n_1)) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),scratc2094053556nd_n_1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bo,X0)) ) ),
inference(nnf_transformation,[],[f305]) ).
fof(f870,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) )
& ( pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0)) ) ),
inference(nnf_transformation,[],[f327]) ).
fof(f942,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ) ),
inference(nnf_transformation,[],[f657]) ).
fof(f943,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ) ),
inference(flattening,[],[f942]) ).
fof(f1169,plain,
gg_TPTP_ind(scratc2094053556nd_n_1),
inference(cnf_transformation,[],[f12]) ).
fof(f1376,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2135361906_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1)) ),
inference(cnf_transformation,[],[f814]) ).
fof(f1377,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f814]) ).
fof(f1378,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
| scratc2135361906_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f814]) ).
fof(f1379,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f814]) ).
fof(f1382,plain,
pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aTP_Lamm_bo)),
inference(cnf_transformation,[],[f149]) ).
fof(f1430,plain,
pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aTP_Lamm_gy)),
inference(cnf_transformation,[],[f197]) ).
fof(f1462,plain,
scratc2135361906_is_of(scratc2094053556nd_n_1,aTP_Lamm_a),
inference(cnf_transformation,[],[f229]) ).
fof(f1582,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),scratc2094053556nd_n_1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bo,X0)) ),
inference(cnf_transformation,[],[f848]) ).
fof(f1626,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0)) ),
inference(cnf_transformation,[],[f870]) ).
fof(f1627,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) ),
inference(cnf_transformation,[],[f870]) ).
fof(f1762,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ),
inference(cnf_transformation,[],[f943]) ).
fof(f2182,plain,
~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),
inference(cnf_transformation,[],[f575]) ).
fof(f2398,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2400,plain,
( ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))
| spl29_1 ),
inference(avatar_component_clause,[],[f2398]) ).
fof(f2401,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f2182,f2398]) ).
fof(f2402,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))
| spl29_1 ),
inference(resolution,[],[f2400,f1377]) ).
fof(f2403,plain,
( scratc2135361906_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2400,f1378]) ).
fof(f2404,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| spl29_1 ),
inference(resolution,[],[f2400,f1379]) ).
fof(f2417,definition,
( spl29_2
<=> scratc2135361906_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2419,plain,
( scratc2135361906_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2420,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2403,f2398,f2417]) ).
fof(f2422,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2424,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| spl29_3 ),
inference(avatar_component_clause,[],[f2422]) ).
fof(f2425,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2404,f2398,f2422]) ).
fof(f2426,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),scratc2094053556nd_n_1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),scratc2094053556nd_n_1))
| spl29_3 ),
inference(resolution,[],[f2424,f1762]) ).
fof(f2487,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2419,f1376]) ).
fof(f2488,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f2487,f2402]) ).
fof(f2490,definition,
( spl29_4
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2491,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),X0)) )
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2490]) ).
fof(f2492,plain,
( spl29_4
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f2488,f2417,f2398,f2490]) ).
fof(f2879,plain,
( ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aTP_Lamm_bo))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),scratc2094053556nd_n_1))
| ~ spl29_4 ),
inference(resolution,[],[f2491,f1582]) ).
fof(f2927,plain,
( ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aTP_Lamm_gy))
| pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))))
| ~ spl29_4 ),
inference(resolution,[],[f2491,f1626]) ).
fof(f3003,plain,
( pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2927,f1430]) ).
fof(f3051,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1060564016moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),scratc2094053556nd_n_1))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2879,f1382]) ).
fof(f3112,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),scratc2094053556nd_n_1))
| spl29_3
| ~ spl29_4 ),
inference(backward_subsumption_resolution,[],[f2426,f3051]) ).
fof(f3320,definition,
( spl29_9
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),scratc2094053556nd_n_1)) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f3322,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))),scratc2094053556nd_n_1))
| spl29_9 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f3323,plain,
( ~ spl29_9
| spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f3112,f2490,f2422,f3320]) ).
fof(f3335,plain,
( ! [X0] :
( ~ scratc2135361906_is_of(scratc2094053556nd_n_1,X0)
| ~ gg_TPTP_ind(scratc2094053556nd_n_1)
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))) )
| spl29_9 ),
inference(resolution,[],[f3322,f1376]) ).
fof(f3369,plain,
( ! [X0] :
( ~ scratc2135361906_is_of(scratc2094053556nd_n_1,X0)
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))) )
| spl29_9 ),
inference(forward_subsumption_resolution,[],[f3335,f1169]) ).
fof(f3540,definition,
( spl29_14
<=> ! [X0] :
( ~ scratc2135361906_is_of(scratc2094053556nd_n_1,X0)
| ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f3541,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))))
| ~ scratc2135361906_is_of(scratc2094053556nd_n_1,X0) )
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f3540]) ).
fof(f3542,plain,
( spl29_14
| spl29_9 ),
inference(avatar_split_clause,[],[f3369,f3320,f3540]) ).
fof(f3543,plain,
( ~ scratc2135361906_is_of(scratc2094053556nd_n_1,aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| ~ spl29_14 ),
inference(resolution,[],[f3541,f1626]) ).
fof(f3559,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| ~ spl29_14 ),
inference(forward_subsumption_resolution,[],[f3543,f1462]) ).
fof(f3739,definition,
( spl29_19
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_gy,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f3741,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1))))
| spl29_19 ),
inference(avatar_component_clause,[],[f3739]) ).
fof(f3742,plain,
( ~ spl29_19
| ~ spl29_14 ),
inference(avatar_split_clause,[],[f3559,f3540,f3739]) ).
fof(f4156,plain,
( ~ pp(aa_fun171081125l_bool(scratc2055738343all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(scratc926580404lessis,scratc2094053556nd_n_1)))))
| spl29_19 ),
inference(resolution,[],[f3741,f1627]) ).
fof(f4196,plain,
( $false
| ~ spl29_4
| spl29_19 ),
inference(forward_subsumption_resolution,[],[f4156,f3003]) ).
fof(f4197,plain,
( ~ spl29_4
| spl29_19 ),
inference(avatar_contradiction_clause,[],[f4196]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2401]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2425]) ).
cnf(s4,plain,
( spl29_1
| ~ spl29_2
| spl29_4 ),
inference(sat_conversion,[],[f2492]) ).
cnf(s8,plain,
( spl29_3
| ~ spl29_4
| ~ spl29_9 ),
inference(sat_conversion,[],[f3323]) ).
cnf(s13,plain,
( spl29_9
| spl29_14 ),
inference(sat_conversion,[],[f3542]) ).
cnf(s18,plain,
( ~ spl29_14
| ~ spl29_19 ),
inference(sat_conversion,[],[f3742]) ).
cnf(s31,plain,
( ~ spl29_4
| spl29_19 ),
inference(sat_conversion,[],[f4197]) ).
cnf(s33,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s34,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s45,plain,
spl29_4,
inference(rat,[],[s4,s1,s34]) ).
cnf(s48,plain,
spl29_19,
inference(rat,[],[s31,s45]) ).
cnf(s53,plain,
~ spl29_9,
inference(rat,[],[s8,s33,s45]) ).
cnf(s54,plain,
~ spl29_14,
inference(rat,[],[s18,s48]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s13,s54,s53]) ).
fof(f4198,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM694+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Sun Sep 27 21:06:19 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 Running first-order theorem proving
% 0.05/0.32 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
% 5.82/1.48 % (2739665)Detected formulas, will run a generic FOF schedule.
% 5.82/1.48 % (2739737)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=402431210:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.82/1.48 % (2739731)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=2100692604:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.82/1.48 % (2739734)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1999552017:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.82/1.48 % (2739730)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=3293922479:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.82/1.48 % (2739739)dis-21_1_sil=8000:lcm=predicate:random_seed=2666514386: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)
% 5.82/1.48 % (2739733)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=789950412:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.82/1.48 % (2739736)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3264103890:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.82/1.48 % (2739734)Refutation not found, incomplete strategy
% 5.82/1.48 % (2739734)------------------------------
% 5.82/1.48 % (2739734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.48 % (2739734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.48 % (2739734)CaDiCaL version: 2.1.3
% 5.82/1.48 % (2739734)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.48 % (2739734)Time elapsed: 0.001 s
% 5.82/1.48 % (2739734)Peak memory usage: 88 MB
% 5.82/1.48 % (2739734)Instructions burned: 2 (million)
% 5.82/1.48 % (2739736)Refutation not found, incomplete strategy
% 5.82/1.48 % (2739736)------------------------------
% 5.82/1.48 % (2739736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.48 % (2739736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.48 % (2739736)CaDiCaL version: 2.1.3
% 5.82/1.48 % (2739736)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.48 % (2739736)Time elapsed: 0.002 s
% 5.82/1.48 % (2739736)Peak memory usage: 88 MB
% 5.82/1.48 % (2739736)Instructions burned: 3 (million)
% 5.82/1.48 % (2739739)Instruction limit reached!
% 5.82/1.48 % (2739739)------------------------------
% 5.82/1.48 % (2739739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.48 % (2739739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.48 % (2739739)CaDiCaL version: 2.1.3
% 5.82/1.48 % (2739739)Termination reason: Instruction limit
% 5.82/1.48 % (2739739)Termination phase: Saturation
% 5.82/1.48 % (2739739)Time elapsed: 0.039 s
% 5.82/1.48 % (2739739)Peak memory usage: 90 MB
% 5.82/1.48 % (2739739)Instructions burned: 132 (million)
% 5.82/1.48 % (2739737)Instruction limit reached!
% 5.82/1.48 % (2739737)------------------------------
% 5.82/1.48 % (2739737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739737)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739737)Termination reason: Instruction limit
% 5.82/1.49 % (2739737)Termination phase: Saturation
% 5.82/1.49 % (2739737)Time elapsed: 0.044 s
% 5.82/1.49 % (2739737)Peak memory usage: 90 MB
% 5.82/1.49 % (2739737)Instructions burned: 139 (million)
% 5.82/1.49 % (2739734)------------------------------
% 5.82/1.49 % (2739734)------------------------------
% 5.82/1.49 % (2739736)------------------------------
% 5.82/1.49 % (2739736)------------------------------
% 5.82/1.49 % (2739790)lrs+10_1_sil=8000:sp=occurrence:random_seed=2203067817:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.82/1.49 % (2739791)lrs+10_1_sil=32000:urr=on:br=off:random_seed=643451684:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.82/1.49 % (2739790)Refutation not found, incomplete strategy
% 5.82/1.49 % (2739790)------------------------------
% 5.82/1.49 % (2739790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739790)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739790)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.49 % (2739790)Time elapsed: 0.002 s
% 5.82/1.49 % (2739790)Peak memory usage: 89 MB
% 5.82/1.49 % (2739790)Instructions burned: 3 (million)
% 5.82/1.49 % (2739791)Refutation not found, incomplete strategy
% 5.82/1.49 % (2739791)------------------------------
% 5.82/1.49 % (2739791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739791)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739791)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.49 % (2739791)Time elapsed: 0.003 s
% 5.82/1.49 % (2739791)Peak memory usage: 89 MB
% 5.82/1.49 % (2739791)Instructions burned: 9 (million)
% 5.82/1.49 % (2739797)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=55069415:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.82/1.49 % (2739795)lrs+1011_1_sil=32000:sp=occurrence:random_seed=624009661:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.82/1.49 % (2739790)------------------------------
% 5.82/1.49 % (2739790)------------------------------
% 5.82/1.49 % (2739791)------------------------------
% 5.82/1.49 % (2739791)------------------------------
% 5.82/1.49 % (2739795)Refutation not found, incomplete strategy
% 5.82/1.49 % (2739795)------------------------------
% 5.82/1.49 % (2739795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739795)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739795)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.49 % (2739795)Time elapsed: 0.056 s
% 5.82/1.49 % (2739795)Peak memory usage: 90 MB
% 5.82/1.49 % (2739795)Instructions burned: 153 (million)
% 5.82/1.49 % (2739797)Instruction limit reached!
% 5.82/1.49 % (2739797)------------------------------
% 5.82/1.49 % (2739797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739797)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739797)Termination reason: Instruction limit
% 5.82/1.49 % (2739797)Termination phase: Saturation
% 5.82/1.49 % (2739797)Time elapsed: 0.065 s
% 5.82/1.49 % (2739797)Peak memory usage: 90 MB
% 5.82/1.49 % (2739797)Instructions burned: 252 (million)
% 5.82/1.49 % (2739845)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1160003665:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.82/1.49 % (2739846)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4148679155:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.82/1.49 % (2739845)Refutation not found, incomplete strategy
% 5.82/1.49 % (2739845)------------------------------
% 5.82/1.49 % (2739845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739845)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739845)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.49 % (2739845)Time elapsed: 0.004 s
% 5.82/1.49 % (2739845)Peak memory usage: 89 MB
% 5.82/1.49 % (2739845)Instructions burned: 11 (million)
% 5.82/1.49 % (2739847)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2736692035:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.82/1.49 % (2739795)------------------------------
% 5.82/1.49 % (2739795)------------------------------
% 5.82/1.49 % (2739847)Instruction limit reached!
% 5.82/1.49 % (2739847)------------------------------
% 5.82/1.49 % (2739847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739847)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739847)Termination reason: Instruction limit
% 5.82/1.49 % (2739847)Termination phase: Saturation
% 5.82/1.49 % (2739847)Time elapsed: 0.033 s
% 5.82/1.49 % (2739847)Peak memory usage: 91 MB
% 5.82/1.49 % (2739847)Instructions burned: 115 (million)
% 5.82/1.49 % (2739845)------------------------------
% 5.82/1.49 % (2739845)------------------------------
% 5.82/1.49 % (2739851)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1294071040:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.82/1.49 % (2739852)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=808778985:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.82/1.49 % (2739851)Instruction limit reached!
% 5.82/1.49 % (2739851)------------------------------
% 5.82/1.49 % (2739851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739851)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739851)Termination reason: Instruction limit
% 5.82/1.49 % (2739851)Termination phase: Saturation
% 5.82/1.49 % (2739851)Time elapsed: 0.034 s
% 5.82/1.49 % (2739851)Peak memory usage: 90 MB
% 5.82/1.49 % (2739851)Instructions burned: 130 (million)
% 5.82/1.49 % (2739852)Instruction limit reached!
% 5.82/1.49 % (2739852)------------------------------
% 5.82/1.49 % (2739852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739852)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739852)Termination reason: Instruction limit
% 5.82/1.49 % (2739852)Termination phase: Saturation
% 5.82/1.49 % (2739852)Time elapsed: 0.034 s
% 5.82/1.49 % (2739852)Peak memory usage: 89 MB
% 5.82/1.49 % (2739852)Instructions burned: 116 (million)
% 5.82/1.49 % (2739733)First to succeed.
% 5.82/1.49 % (2739733)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2739665"
% 5.82/1.49 % (2739853)lrs+10_1_sil=8000:sp=occurrence:random_seed=484217693:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.82/1.49 % (2739853)Refutation not found, incomplete strategy
% 5.82/1.49 % (2739853)------------------------------
% 5.82/1.49 % (2739853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739853)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739853)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.49 % (2739853)Time elapsed: 0.002 s
% 5.82/1.49 % (2739853)Peak memory usage: 89 MB
% 5.82/1.49 % (2739853)Instructions burned: 3 (million)
% 5.82/1.49 % (2739857)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2709668453:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.82/1.49 % (2739856)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4045040637:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.82/1.49 % (2739856)Refutation not found, incomplete strategy
% 5.82/1.49 % (2739856)------------------------------
% 5.82/1.49 % (2739856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.49 % (2739856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.49 % (2739856)CaDiCaL version: 2.1.3
% 5.82/1.49 % (2739856)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.49 % (2739856)Time elapsed: 0.023 s
% 5.82/1.49 % (2739856)Peak memory usage: 90 MB
% 5.82/1.49 % (2739856)Instructions burned: 81 (million)
% 5.82/1.49 % (2739733)Refutation found. Thanks to Tanya!
% 5.82/1.49 % SZS status Theorem for theBenchmark
% 5.82/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 6.79/1.59 % (2739733)------------------------------
% 6.79/1.59 % (2739733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.59 % (2739733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.59 % (2739733)CaDiCaL version: 2.1.3
% 6.79/1.59 % (2739733)Termination reason: Refutation
% 6.79/1.59 % (2739733)Time elapsed: 0.647 s
% 6.79/1.59 % (2739733)Peak memory usage: 140 MB
% 6.79/1.59 % (2739733)Instructions burned: 1926 (million)
% 6.79/1.59 % (2739733)------------------------------
% 6.79/1.59 % (2739733)------------------------------
% 6.79/1.59 % (2739665)Success in time 0.946 s
% 6.79/1.59 % Vampire exiting
%------------------------------------------------------------------------------