%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM788+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 : n009.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 12:17:01 PM UTC 2026
% Result : Theorem 17.10s 3.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of formulae : 154 ( 29 unt; 16 def)
% Number of atoms : 362 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 356 ( 148 ~; 158 |; 20 &)
% ( 26 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 77 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,axiom,
! [X0] :
( pp(scratc1223190007_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f191,axiom,
scratc1879547204nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f222,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2128269225_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f226,axiom,
pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_cg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz81d) ).
fof(f767,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
<=> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__239) ).
fof(f770,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__242) ).
fof(f833,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1))
=> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__305) ).
fof(f834,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1))
=> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__306) ).
fof(f1274,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1275,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f1277,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f1284,conjecture,
pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1285,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f1284]) ).
fof(f1286,plain,
~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f1285]) ).
fof(f1303,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2128269225_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f222]) ).
fof(f1304,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2128269225_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1303]) ).
fof(f1394,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f833]) ).
fof(f1395,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)) ) ),
inference(ennf_transformation,[],[f834]) ).
fof(f1700,plain,
! [X0] :
( ( pp(scratc1223190007_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X0),fFalse))
| ~ pp(scratc1223190007_d_not(X0)) ) ),
inference(nnf_transformation,[],[f190]) ).
fof(f1723,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2128269225_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2128269225_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1304]) ).
fof(f1724,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2128269225_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2128269225_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1)) ) ),
inference(rectify,[],[f1723]) ).
fof(f1725,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc2128269225_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2128269225_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1724]) ).
fof(f1983,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) )
& ( pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ) ),
inference(nnf_transformation,[],[f767]) ).
fof(f1986,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f770]) ).
fof(f2079,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)) ) )
& ( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(nnf_transformation,[],[f1394]) ).
fof(f2080,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)) ) )
& ( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(flattening,[],[f2079]) ).
fof(f2081,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)) ) )
& ( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f1395]) ).
fof(f2082,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)) ) )
& ( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f2081]) ).
fof(f2910,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X0),fFalse))
| ~ pp(scratc1223190007_d_not(X0)) ),
inference(cnf_transformation,[],[f1700]) ).
fof(f2911,plain,
! [X0] :
( pp(scratc1223190007_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1700]) ).
fof(f2912,plain,
scratc1879547204nd_imp = fimplies,
inference(cnf_transformation,[],[f191]) ).
fof(f2974,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2128269225_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1725]) ).
fof(f2975,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1725]) ).
fof(f2976,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
| scratc2128269225_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1725]) ).
fof(f2977,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc639425392all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1725]) ).
fof(f2982,plain,
pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_cg)),
inference(cnf_transformation,[],[f226]) ).
fof(f3791,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ),
inference(cnf_transformation,[],[f1983]) ).
fof(f3798,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f1986]) ).
fof(f3951,plain,
! [X0,X1] :
( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ),
inference(cnf_transformation,[],[f2080]) ).
fof(f3955,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X0),X1)) ),
inference(cnf_transformation,[],[f2082]) ).
fof(f3956,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X0),X1))) ),
inference(cnf_transformation,[],[f2082]) ).
fof(f5054,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f1274]) ).
fof(f5055,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f1275]) ).
fof(f5057,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f1277]) ).
fof(f5064,plain,
~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f1286]) ).
fof(f5164,plain,
! [X0] :
( pp(scratc1223190007_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f2911,f2912]) ).
fof(f5165,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1223190007_d_not(X0)) ),
inference(definition_unfolding,[],[f2910,f2912]) ).
fof(f5424,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f5426,plain,
( ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl29_1 ),
inference(avatar_component_clause,[],[f5424]) ).
fof(f5427,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f5064,f5424]) ).
fof(f5428,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl29_1 ),
inference(resolution,[],[f5426,f2975]) ).
fof(f5429,plain,
( scratc2128269225_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f5426,f2976]) ).
fof(f5430,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_1 ),
inference(resolution,[],[f5426,f2977]) ).
fof(f5443,definition,
( spl29_2
<=> scratc2128269225_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f5445,plain,
( scratc2128269225_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f5443]) ).
fof(f5446,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f5429,f5424,f5443]) ).
fof(f5448,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f5445,f2974]) ).
fof(f5449,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f5448,f5428]) ).
fof(f5451,definition,
( spl29_3
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f5452,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) )
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f5451]) ).
fof(f5453,plain,
( spl29_3
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f5449,f5443,f5424,f5451]) ).
fof(f6385,plain,
( ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aTP_Lamm_cg))
| pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_3 ),
inference(resolution,[],[f5452,f3791]) ).
fof(f6649,plain,
( pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f6385,f2982]) ).
fof(f6777,definition,
( spl29_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f6779,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_5 ),
inference(avatar_component_clause,[],[f6777]) ).
fof(f6780,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f5430,f5424,f6777]) ).
fof(f6781,plain,
( ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_5 ),
inference(resolution,[],[f6779,f3798]) ).
fof(f6820,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f6822,plain,
( ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(avatar_component_clause,[],[f6820]) ).
fof(f6823,plain,
( ~ spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f6781,f6777,f6820]) ).
fof(f6825,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(resolution,[],[f6822,f2975]) ).
fof(f6826,plain,
( scratc2128269225_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f6822,f2976]) ).
fof(f6827,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_6 ),
inference(resolution,[],[f6822,f2977]) ).
fof(f6840,definition,
( spl29_7
<=> scratc2128269225_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f6842,plain,
( scratc2128269225_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f6840]) ).
fof(f6843,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f6826,f6820,f6840]) ).
fof(f6845,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f6842,f2974]) ).
fof(f6846,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f6845,f6825]) ).
fof(f6848,definition,
( spl29_8
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f6849,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),X0)) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f6848]) ).
fof(f6850,plain,
( spl29_8
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f6846,f6840,f6820,f6848]) ).
fof(f8169,definition,
( spl29_9
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f8171,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_9 ),
inference(avatar_component_clause,[],[f8169]) ).
fof(f8172,plain,
( ~ spl29_9
| spl29_6 ),
inference(avatar_split_clause,[],[f6827,f6820,f8169]) ).
fof(f8173,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_9 ),
inference(resolution,[],[f8171,f3955]) ).
fof(f8174,plain,
( ~ pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_9 ),
inference(resolution,[],[f8171,f3956]) ).
fof(f8221,definition,
( spl29_10
<=> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f8223,plain,
( ~ pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_10 ),
inference(avatar_component_clause,[],[f8221]) ).
fof(f8224,plain,
( ~ spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f8174,f8169,f8221]) ).
fof(f8227,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| spl29_10 ),
inference(resolution,[],[f8223,f5164]) ).
fof(f8240,definition,
( spl29_11
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f8242,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| spl29_11 ),
inference(avatar_component_clause,[],[f8240]) ).
fof(f8243,plain,
( ~ spl29_11
| spl29_10 ),
inference(avatar_split_clause,[],[f8227,f8221,f8240]) ).
fof(f8245,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_11 ),
inference(resolution,[],[f8242,f5057]) ).
fof(f8449,definition,
( spl29_14
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f8451,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f8449]) ).
fof(f8452,plain,
( spl29_14
| spl29_9 ),
inference(avatar_split_clause,[],[f8173,f8169,f8449]) ).
fof(f8706,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f8708,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f8706]) ).
fof(f8709,plain,
( spl29_20
| spl29_11 ),
inference(avatar_split_clause,[],[f8245,f8240,f8706]) ).
fof(f8876,definition,
( spl29_33
<=> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_33])],[avatar_definition]) ).
fof(f8878,plain,
( pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_33 ),
inference(avatar_component_clause,[],[f8876]) ).
fof(f8879,plain,
( spl29_33
| ~ spl29_3 ),
inference(avatar_split_clause,[],[f6649,f5451,f8876]) ).
fof(f8908,plain,
( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_20 ),
inference(resolution,[],[f8708,f3951]) ).
fof(f9308,definition,
( spl29_52
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_52])],[avatar_definition]) ).
fof(f9310,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_52 ),
inference(avatar_component_clause,[],[f9308]) ).
fof(f9312,definition,
( spl29_53
<=> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_53])],[avatar_definition]) ).
fof(f9314,plain,
( pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_53 ),
inference(avatar_component_clause,[],[f9312]) ).
fof(f9315,plain,
( ~ spl29_52
| spl29_53
| ~ spl29_20 ),
inference(avatar_split_clause,[],[f8908,f8706,f9312,f9308]) ).
fof(f9324,plain,
( ~ pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_8
| spl29_52 ),
inference(resolution,[],[f9310,f6849]) ).
fof(f9364,plain,
( $false
| ~ spl29_8
| ~ spl29_33
| spl29_52 ),
inference(forward_subsumption_resolution,[],[f9324,f8878]) ).
fof(f9365,plain,
( ~ spl29_8
| ~ spl29_33
| spl29_52 ),
inference(avatar_contradiction_clause,[],[f9364]) ).
fof(f9369,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| ~ spl29_53 ),
inference(resolution,[],[f9314,f5165]) ).
fof(f9568,definition,
( spl29_58
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_58])],[avatar_definition]) ).
fof(f9570,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| ~ spl29_58 ),
inference(avatar_component_clause,[],[f9568]) ).
fof(f9571,plain,
( spl29_58
| ~ spl29_53 ),
inference(avatar_split_clause,[],[f9369,f9312,f9568]) ).
fof(f9750,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| pp(fFalse)
| ~ spl29_58 ),
inference(resolution,[],[f9570,f5055]) ).
fof(f9762,plain,
( pp(fFalse)
| ~ spl29_14
| ~ spl29_58 ),
inference(forward_subsumption_resolution,[],[f9750,f8451]) ).
fof(f9763,plain,
( $false
| ~ spl29_14
| ~ spl29_58 ),
inference(forward_subsumption_resolution,[],[f9762,f5054]) ).
fof(f9764,plain,
( ~ spl29_14
| ~ spl29_58 ),
inference(avatar_contradiction_clause,[],[f9763]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f5427]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f5446]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_2
| spl29_3 ),
inference(sat_conversion,[],[f5453]) ).
cnf(s5,plain,
( spl29_1
| ~ spl29_5 ),
inference(sat_conversion,[],[f6780]) ).
cnf(s6,plain,
( spl29_5
| ~ spl29_6 ),
inference(sat_conversion,[],[f6823]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f6843]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_7
| spl29_8 ),
inference(sat_conversion,[],[f6850]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_9 ),
inference(sat_conversion,[],[f8172]) ).
cnf(s10,plain,
( spl29_9
| ~ spl29_10 ),
inference(sat_conversion,[],[f8224]) ).
cnf(s11,plain,
( spl29_10
| ~ spl29_11 ),
inference(sat_conversion,[],[f8243]) ).
cnf(s14,plain,
( spl29_9
| spl29_14 ),
inference(sat_conversion,[],[f8452]) ).
cnf(s20,plain,
( spl29_11
| spl29_20 ),
inference(sat_conversion,[],[f8709]) ).
cnf(s33,plain,
( ~ spl29_3
| spl29_33 ),
inference(sat_conversion,[],[f8879]) ).
cnf(s52,plain,
( ~ spl29_20
| ~ spl29_52
| spl29_53 ),
inference(sat_conversion,[],[f9315]) ).
cnf(s53,plain,
( ~ spl29_8
| ~ spl29_33
| spl29_52 ),
inference(sat_conversion,[],[f9365]) ).
cnf(s57,plain,
( ~ spl29_53
| spl29_58 ),
inference(sat_conversion,[],[f9571]) ).
cnf(s64,plain,
( ~ spl29_14
| ~ spl29_58 ),
inference(sat_conversion,[],[f9764]) ).
cnf(s65,plain,
~ spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s67,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s70,plain,
~ spl29_6,
inference(rat,[],[s6,s65]) ).
cnf(s75,plain,
spl29_3,
inference(rat,[],[s3,s1,s67]) ).
cnf(s79,plain,
~ spl29_9,
inference(rat,[],[s9,s70]) ).
cnf(s80,plain,
spl29_7,
inference(rat,[],[s7,s70]) ).
cnf(s87,plain,
spl29_33,
inference(rat,[],[s33,s75]) ).
cnf(s99,plain,
spl29_14,
inference(rat,[],[s14,s79]) ).
cnf(s101,plain,
~ spl29_10,
inference(rat,[],[s10,s79]) ).
cnf(s102,plain,
spl29_8,
inference(rat,[],[s8,s70,s80]) ).
cnf(s103,plain,
~ spl29_58,
inference(rat,[],[s64,s99]) ).
cnf(s106,plain,
~ spl29_11,
inference(rat,[],[s11,s101]) ).
cnf(s107,plain,
spl29_52,
inference(rat,[],[s53,s87,s102]) ).
cnf(s121,plain,
~ spl29_53,
inference(rat,[],[s57,s103]) ).
cnf(s123,plain,
spl29_20,
inference(rat,[],[s20,s106]) ).
cnf(s124,plain,
$false,
inference(rat,[],[s52,s121,s107,s123]) ).
fof(f9765,plain,
$false,
inference(avatar_sat_refutation,[],[s124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM788+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:24:45 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 12.01/2.69 % (2408859)Detected formulas, will run a generic FOF schedule.
% 12.01/2.69 % (2408868)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=953233935:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.01/2.69 % (2408868)Refutation not found, incomplete strategy
% 12.01/2.69 % (2408868)------------------------------
% 12.01/2.69 % (2408868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.69 % (2408868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.69 % (2408868)CaDiCaL version: 2.1.3
% 12.01/2.69 % (2408868)Termination reason: Refutation not found, incomplete strategy
% 12.01/2.69 % (2408868)Time elapsed: 0.003 s
% 12.01/2.69 % (2408868)Peak memory usage: 89 MB
% 12.01/2.69 % (2408868)Instructions burned: 7 (million)
% 12.01/2.69 % (2408865)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=2192488323:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.01/2.69 % (2408866)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=3673228578:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.01/2.69 % (2408867)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2434907633:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.01/2.69 % (2408864)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=1011530514:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.01/2.69 % (2408867)Refutation not found, incomplete strategy
% 12.01/2.69 % (2408867)------------------------------
% 12.01/2.69 % (2408867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.69 % (2408867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.69 % (2408867)CaDiCaL version: 2.1.3
% 12.01/2.69 % (2408867)Termination reason: Refutation not found, incomplete strategy
% 12.01/2.69 % (2408867)Time elapsed: 0.005 s
% 12.01/2.69 % (2408867)Peak memory usage: 89 MB
% 12.01/2.69 % (2408867)Instructions burned: 6 (million)
% 12.01/2.69 % (2408869)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3096575933:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.01/2.69 % (2408870)dis-21_1_sil=8000:lcm=predicate:random_seed=1665807244: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)
% 12.01/2.69 % (2408870)Instruction limit reached!
% 12.01/2.69 % (2408870)------------------------------
% 12.01/2.69 % (2408870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.69 % (2408870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.69 % (2408870)CaDiCaL version: 2.1.3
% 12.01/2.69 % (2408870)Termination reason: Instruction limit
% 12.01/2.69 % (2408870)Termination phase: Saturation
% 12.01/2.69 % (2408870)Time elapsed: 0.056 s
% 12.01/2.69 % (2408870)Peak memory usage: 90 MB
% 12.01/2.69 % (2408870)Instructions burned: 130 (million)
% 12.01/2.69 % (2408869)Instruction limit reached!
% 12.01/2.69 % (2408869)------------------------------
% 12.01/2.69 % (2408869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.69 % (2408869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.69 % (2408869)CaDiCaL version: 2.1.3
% 12.01/2.69 % (2408869)Termination reason: Instruction limit
% 12.01/2.69 % (2408869)Termination phase: Saturation
% 12.01/2.69 % (2408869)Time elapsed: 0.062 s
% 12.01/2.69 % (2408869)Peak memory usage: 91 MB
% 12.01/2.69 % (2408869)Instructions burned: 139 (million)
% 12.01/2.69 % (2408868)------------------------------
% 12.01/2.69 % (2408868)------------------------------
% 12.01/2.69 % (2408878)lrs+10_1_sil=8000:sp=occurrence:random_seed=916415932:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.01/2.69 % (2408879)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1474376662:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.01/2.69 % (2408878)Refutation not found, incomplete strategy
% 12.01/2.69 % (2408878)------------------------------
% 12.01/2.69 % (2408878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.69 % (2408878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408878)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408878)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.38 % (2408878)Time elapsed: 0.005 s
% 17.10/3.38 % (2408878)Peak memory usage: 89 MB
% 17.10/3.38 % (2408878)Instructions burned: 6 (million)
% 17.10/3.38 % (2408880)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4179538106:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 17.10/3.38 % (2408879)Refutation not found, incomplete strategy
% 17.10/3.38 % (2408879)------------------------------
% 17.10/3.38 % (2408879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408879)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408879)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.38 % (2408879)Time elapsed: 0.010 s
% 17.10/3.38 % (2408879)Peak memory usage: 89 MB
% 17.10/3.38 % (2408879)Instructions burned: 21 (million)
% 17.10/3.38 % (2408880)Refutation not found, incomplete strategy
% 17.10/3.38 % (2408880)------------------------------
% 17.10/3.38 % (2408880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408880)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408880)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.38 % (2408880)Time elapsed: 0.005 s
% 17.10/3.38 % (2408880)Peak memory usage: 90 MB
% 17.10/3.38 % (2408880)Instructions burned: 14 (million)
% 17.10/3.38 % (2408867)------------------------------
% 17.10/3.38 % (2408867)------------------------------
% 17.10/3.38 % (2408880)------------------------------
% 17.10/3.38 % (2408880)------------------------------
% 17.10/3.38 % (2408884)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=2583768148:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.10/3.38 % (2408879)------------------------------
% 17.10/3.38 % (2408879)------------------------------
% 17.10/3.38 % (2408878)------------------------------
% 17.10/3.38 % (2408878)------------------------------
% 17.10/3.38 % (2408885)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1451361632:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 17.10/3.38 % (2408885)Refutation not found, incomplete strategy
% 17.10/3.38 % (2408885)------------------------------
% 17.10/3.38 % (2408885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408885)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408885)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.38 % (2408885)Time elapsed: 0.006 s
% 17.10/3.38 % (2408885)Peak memory usage: 90 MB
% 17.10/3.38 % (2408885)Instructions burned: 15 (million)
% 17.10/3.38 % (2408884)Instruction limit reached!
% 17.10/3.38 % (2408884)------------------------------
% 17.10/3.38 % (2408884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408884)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408884)Termination reason: Instruction limit
% 17.10/3.38 % (2408884)Termination phase: Saturation
% 17.10/3.38 % (2408884)Time elapsed: 0.131 s
% 17.10/3.38 % (2408884)Peak memory usage: 96 MB
% 17.10/3.38 % (2408884)Instructions burned: 250 (million)
% 17.10/3.38 % (2408888)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2379615849:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 17.10/3.38 % (2408887)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1916837756:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.10/3.38 % (2408885)------------------------------
% 17.10/3.38 % (2408885)------------------------------
% 17.10/3.38 % (2408888)Instruction limit reached!
% 17.10/3.38 % (2408888)------------------------------
% 17.10/3.38 % (2408888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408888)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408888)Termination reason: Instruction limit
% 17.10/3.38 % (2408888)Termination phase: Saturation
% 17.10/3.38 % (2408888)Time elapsed: 0.054 s
% 17.10/3.38 % (2408888)Peak memory usage: 90 MB
% 17.10/3.38 % (2408888)Instructions burned: 114 (million)
% 17.10/3.38 % (2408890)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=431024828:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.10/3.38 % (2408890)Instruction limit reached!
% 17.10/3.38 % (2408890)------------------------------
% 17.10/3.38 % (2408890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408890)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408890)Termination reason: Instruction limit
% 17.10/3.38 % (2408890)Termination phase: Property scanning
% 17.10/3.38 % (2408890)Time elapsed: 0.058 s
% 17.10/3.38 % (2408890)Peak memory usage: 89 MB
% 17.10/3.38 % (2408890)Instructions burned: 128 (million)
% 17.10/3.38 % (2408893)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=853423980:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 17.10/3.38 % (2408894)lrs+10_1_sil=8000:sp=occurrence:random_seed=807307546:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 17.10/3.38 % (2408893)Instruction limit reached!
% 17.10/3.38 % (2408893)------------------------------
% 17.10/3.38 % (2408893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408893)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408893)Termination reason: Instruction limit
% 17.10/3.38 % (2408893)Termination phase: Saturation
% 17.10/3.38 % (2408893)Time elapsed: 0.058 s
% 17.10/3.38 % (2408893)Peak memory usage: 90 MB
% 17.10/3.38 % (2408893)Instructions burned: 114 (million)
% 17.10/3.38 % (2408896)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=970283459:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 17.10/3.38 % (2408896)Refutation not found, incomplete strategy
% 17.10/3.38 % (2408896)------------------------------
% 17.10/3.38 % (2408896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408896)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408896)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.38 % (2408896)Time elapsed: 0.094 s
% 17.10/3.38 % (2408896)Peak memory usage: 93 MB
% 17.10/3.38 % (2408896)Instructions burned: 192 (million)
% 17.10/3.38 % (2408899)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2808604809:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 17.10/3.38 % (2408896)------------------------------
% 17.10/3.38 % (2408896)------------------------------
% 17.10/3.38 % (2408894)Instruction limit reached!
% 17.10/3.38 % (2408894)------------------------------
% 17.10/3.38 % (2408894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408894)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408894)Termination reason: Instruction limit
% 17.10/3.38 % (2408894)Termination phase: Saturation
% 17.10/3.38 % (2408894)Time elapsed: 0.537 s
% 17.10/3.38 % (2408894)Peak memory usage: 102 MB
% 17.10/3.38 % (2408894)Instructions burned: 907 (million)
% 17.10/3.38 % (2408902)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1805811741:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 17.10/3.38 % (2408902)Instruction limit reached!
% 17.10/3.38 % (2408902)------------------------------
% 17.10/3.38 % (2408902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408902)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408902)Termination reason: Instruction limit
% 17.10/3.38 % (2408902)Termination phase: Saturation
% 17.10/3.38 % (2408902)Time elapsed: 0.062 s
% 17.10/3.38 % (2408902)Peak memory usage: 91 MB
% 17.10/3.38 % (2408902)Instructions burned: 134 (million)
% 17.10/3.38 % (2408903)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1753498171:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 17.10/3.38 % (2408903)Refutation not found, incomplete strategy
% 17.10/3.38 % (2408903)------------------------------
% 17.10/3.38 % (2408903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408903)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408903)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.38 % (2408903)Time elapsed: 0.021 s
% 17.10/3.38 % (2408903)Peak memory usage: 90 MB
% 17.10/3.38 % (2408903)Instructions burned: 40 (million)
% 17.10/3.38 % (2408905)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2375245265:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 17.10/3.38 % (2408903)------------------------------
% 17.10/3.38 % (2408903)------------------------------
% 17.10/3.38 % (2408908)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4198072231:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 17.10/3.38 % (2408866)First to succeed.
% 17.10/3.38 % (2408866)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2408859"
% 17.10/3.38 % (2408908)Refutation not found, incomplete strategy
% 17.10/3.38 % (2408908)------------------------------
% 17.10/3.38 % (2408908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408908)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408908)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.38 % (2408908)Time elapsed: 0.015 s
% 17.10/3.38 % (2408908)Peak memory usage: 90 MB
% 17.10/3.38 % (2408908)Instructions burned: 28 (million)
% 17.10/3.38 % (2408887)Instruction limit reached!
% 17.10/3.38 % (2408887)------------------------------
% 17.10/3.38 % (2408887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408887)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408887)Termination reason: Instruction limit
% 17.10/3.38 % (2408887)Termination phase: Saturation
% 17.10/3.38 % (2408887)Time elapsed: 1.382 s
% 17.10/3.38 % (2408887)Peak memory usage: 163 MB
% 17.10/3.38 % (2408887)Instructions burned: 2350 (million)
% 17.10/3.38 % (2408899)Also succeeded, but the first one will report.
% 17.10/3.38 % (2408910)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=299808650:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 17.10/3.38 % (2408910)Instruction limit reached!
% 17.10/3.38 % (2408910)------------------------------
% 17.10/3.38 % (2408910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.38 % (2408910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.38 % (2408910)CaDiCaL version: 2.1.3
% 17.10/3.38 % (2408910)Termination reason: Instruction limit
% 17.10/3.38 % (2408910)Termination phase: Twee Goal Transformation
% 17.10/3.38 % (2408910)Time elapsed: 0.064 s
% 17.10/3.38 % (2408910)Peak memory usage: 91 MB
% 17.10/3.38 % (2408910)Instructions burned: 135 (million)
% 17.10/3.38 % (2408908)------------------------------
% 17.10/3.38 % (2408908)------------------------------
% 17.10/3.38 % (2408866)Refutation found. Thanks to Tanya!
% 17.10/3.38 % SZS status Theorem for theBenchmark
% 17.10/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/3.60 % (2408866)------------------------------
% 0.18/3.60 % (2408866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.60 % (2408866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.60 % (2408866)CaDiCaL version: 2.1.3
% 0.18/3.60 % (2408866)Termination reason: Refutation
% 0.18/3.60 % (2408866)Time elapsed: 2.010 s
% 0.18/3.60 % (2408866)Peak memory usage: 161 MB
% 0.18/3.60 % (2408866)Instructions burned: 3490 (million)
% 0.18/3.60 % (2408866)------------------------------
% 0.18/3.60 % (2408866)------------------------------
% 0.18/3.60 % (2408859)Success in time 2.513 s
% 0.18/3.60 % Vampire exiting
%------------------------------------------------------------------------------