%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM740+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 : n017.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 12:16:45 PM UTC 2026
% Result : Theorem 13.34s 2.83s
% Output : Refutation 14.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 36
% Syntax : Number of formulae : 194 ( 35 unt; 18 def)
% Number of atoms : 479 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 487 ( 202 ~; 215 |; 30 &)
% ( 34 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 103 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,axiom,
! [X0] :
( pp(scratc1881789059_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc998000568nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f167,axiom,
scratc998000568nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f198,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc639384629_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f207,axiom,
pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_cq)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz41e) ).
fof(f209,axiom,
pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_cu)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz41c) ).
fof(f213,axiom,
pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_dg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz42) ).
fof(f555,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0))
<=> pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).
fof(f559,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0))
<=> pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__144) ).
fof(f561,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cq,X0))
<=> pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__146) ).
fof(f569,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__154) ).
fof(f611,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__196) ).
fof(f612,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__197) ).
fof(f620,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1))
=> pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__205) ).
fof(f635,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,X0),X1))
<=> ( pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__220) ).
fof(f883,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f884,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(f886,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(f893,conjecture,
pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f894,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f893]) ).
fof(f895,plain,
~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f894]) ).
fof(f912,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc639384629_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f198]) ).
fof(f913,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc639384629_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f912]) ).
fof(f989,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1)) ) ),
inference(ennf_transformation,[],[f611]) ).
fof(f990,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f612]) ).
fof(f998,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1))
<=> ( pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1)) ) ),
inference(ennf_transformation,[],[f620]) ).
fof(f1007,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X0),X1))
| ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1))) ) ),
inference(ennf_transformation,[],[f635]) ).
fof(f1193,plain,
! [X0] :
( ( pp(scratc1881789059_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc998000568nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc998000568nd_imp,X0),fFalse))
| ~ pp(scratc1881789059_d_not(X0)) ) ),
inference(nnf_transformation,[],[f166]) ).
fof(f1216,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc639384629_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc639384629_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f913]) ).
fof(f1217,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc639384629_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc639384629_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1)) ) ),
inference(rectify,[],[f1216]) ).
fof(f1218,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc639384629_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc639384629_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1217]) ).
fof(f1377,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0)) ) ),
inference(nnf_transformation,[],[f555]) ).
fof(f1381,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0)) ) ),
inference(nnf_transformation,[],[f559]) ).
fof(f1383,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cq,X0))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cq,X0)) ) ),
inference(nnf_transformation,[],[f561]) ).
fof(f1391,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f569]) ).
fof(f1449,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f989]) ).
fof(f1450,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f1449]) ).
fof(f1451,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1)) ) ),
inference(nnf_transformation,[],[f990]) ).
fof(f1452,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1)) ) ),
inference(flattening,[],[f1451]) ).
fof(f1467,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1))
| ( ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1)) ) )
& ( pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1)) ) ),
inference(nnf_transformation,[],[f998]) ).
fof(f1468,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1))
| ( ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1)) ) )
& ( pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1)) ) ),
inference(flattening,[],[f1467]) ).
fof(f1489,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X0),X1))
& pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X0),X1))
| ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,X0),X1)) ) ),
inference(nnf_transformation,[],[f1007]) ).
fof(f1490,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X0),X1))
& pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X0),X1))
| ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,X0),X1)) ) ),
inference(flattening,[],[f1489]) ).
fof(f2021,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc998000568nd_imp,X0),fFalse))
| ~ pp(scratc1881789059_d_not(X0)) ),
inference(cnf_transformation,[],[f1193]) ).
fof(f2022,plain,
! [X0] :
( pp(scratc1881789059_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc998000568nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1193]) ).
fof(f2023,plain,
scratc998000568nd_imp = fimplies,
inference(cnf_transformation,[],[f167]) ).
fof(f2085,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc639384629_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1218]) ).
fof(f2086,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1218]) ).
fof(f2087,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
| scratc639384629_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1218]) ).
fof(f2088,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1218]) ).
fof(f2098,plain,
pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_cq)),
inference(cnf_transformation,[],[f207]) ).
fof(f2100,plain,
pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_cu)),
inference(cnf_transformation,[],[f209]) ).
fof(f2104,plain,
pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_dg)),
inference(cnf_transformation,[],[f213]) ).
fof(f2615,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0)) ),
inference(cnf_transformation,[],[f1377]) ).
fof(f2623,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0)) ),
inference(cnf_transformation,[],[f1381]) ).
fof(f2627,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cq,X0)) ),
inference(cnf_transformation,[],[f1383]) ).
fof(f2644,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f1391]) ).
fof(f2742,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1)) ),
inference(cnf_transformation,[],[f1450]) ).
fof(f2743,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X1),X0)) ),
inference(cnf_transformation,[],[f1450]) ).
fof(f2744,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1)) ),
inference(cnf_transformation,[],[f1452]) ).
fof(f2768,plain,
! [X0,X1] :
( pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1)) ),
inference(cnf_transformation,[],[f1468]) ).
fof(f2805,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,X0),X1))
| ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,X0),X1)) ),
inference(cnf_transformation,[],[f1490]) ).
fof(f3411,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f883]) ).
fof(f3412,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f884]) ).
fof(f3414,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f886]) ).
fof(f3421,plain,
~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f895]) ).
fof(f3505,plain,
! [X0] :
( pp(scratc1881789059_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f2022,f2023]) ).
fof(f3506,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1881789059_d_not(X0)) ),
inference(definition_unfolding,[],[f2021,f2023]) ).
fof(f3761,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f3763,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl29_1 ),
inference(avatar_component_clause,[],[f3761]) ).
fof(f3764,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f3421,f3761]) ).
fof(f3765,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl29_1 ),
inference(resolution,[],[f3763,f2086]) ).
fof(f3766,plain,
( scratc639384629_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f3763,f2087]) ).
fof(f3767,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_1 ),
inference(resolution,[],[f3763,f2088]) ).
fof(f3780,definition,
( spl29_2
<=> scratc639384629_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f3782,plain,
( scratc639384629_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f3780]) ).
fof(f3783,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f3766,f3761,f3780]) ).
fof(f3785,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(scratc1002607076all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f3782,f2085]) ).
fof(f3786,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f3785,f3765]) ).
fof(f3788,definition,
( spl29_3
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f3789,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),X0)) )
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f3788]) ).
fof(f3790,plain,
( spl29_3
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f3786,f3780,f3761,f3788]) ).
fof(f4405,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_cu))
| pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_3 ),
inference(resolution,[],[f3789,f2623]) ).
fof(f4575,plain,
( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f4405,f2100]) ).
fof(f4661,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(f4663,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_5 ),
inference(avatar_component_clause,[],[f4661]) ).
fof(f4664,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f3767,f3761,f4661]) ).
fof(f4665,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_5 ),
inference(resolution,[],[f4663,f2644]) ).
fof(f4704,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1002607076all_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(f4706,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(avatar_component_clause,[],[f4704]) ).
fof(f4707,plain,
( ~ spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f4665,f4661,f4704]) ).
fof(f4709,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,[],[f4706,f2086]) ).
fof(f4710,plain,
( scratc639384629_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,[],[f4706,f2087]) ).
fof(f4711,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,[],[f4706,f2088]) ).
fof(f4724,definition,
( spl29_7
<=> scratc639384629_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(f4726,plain,
( scratc639384629_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,[],[f4724]) ).
fof(f4727,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f4710,f4704,f4724]) ).
fof(f4729,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(scratc1002607076all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f4726,f2085]) ).
fof(f4730,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(scratc1002607076all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f4729,f4709]) ).
fof(f4732,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(scratc1002607076all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f4733,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(scratc1002607076all_of(aTP_Lamm_a),X0)) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f4732]) ).
fof(f4734,plain,
( spl29_8
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f4730,f4724,f4704,f4732]) ).
fof(f5347,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_cq))
| pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_8 ),
inference(resolution,[],[f4733,f2627]) ).
fof(f5353,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aTP_Lamm_dg))
| pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_8 ),
inference(resolution,[],[f4733,f2615]) ).
fof(f5515,plain,
( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f5353,f2104]) ).
fof(f5521,plain,
( pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f5347,f2098]) ).
fof(f5600,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(f5602,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,[],[f5600]) ).
fof(f5603,plain,
( ~ spl29_9
| spl29_6 ),
inference(avatar_split_clause,[],[f4711,f4704,f5600]) ).
fof(f5604,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,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,[],[f5602,f2742]) ).
fof(f5605,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_9 ),
inference(resolution,[],[f5602,f2743]) ).
fof(f5661,definition,
( spl29_12
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f5663,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1577824377lesseq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_12 ),
inference(avatar_component_clause,[],[f5661]) ).
fof(f5664,plain,
( ~ spl29_12
| spl29_9 ),
inference(avatar_split_clause,[],[f5605,f5600,f5661]) ).
fof(f5670,plain,
( ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_12 ),
inference(resolution,[],[f5663,f2805]) ).
fof(f5897,definition,
( spl29_13
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,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_13])],[avatar_definition]) ).
fof(f5899,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042312_moreq,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_13 ),
inference(avatar_component_clause,[],[f5897]) ).
fof(f5900,plain,
( spl29_13
| spl29_9 ),
inference(avatar_split_clause,[],[f5604,f5600,f5897]) ).
fof(f5904,plain,
( pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_ct,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_13 ),
inference(resolution,[],[f5899,f2768]) ).
fof(f5956,definition,
( spl29_15
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,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_15])],[avatar_definition]) ).
fof(f5958,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,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_15 ),
inference(avatar_component_clause,[],[f5956]) ).
fof(f5960,definition,
( spl29_16
<=> pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_16])],[avatar_definition]) ).
fof(f5962,plain,
( pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_16 ),
inference(avatar_component_clause,[],[f5960]) ).
fof(f5963,plain,
( ~ spl29_15
| spl29_16
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f5904,f5897,f5960,f5956]) ).
fof(f5972,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_8
| spl29_15 ),
inference(resolution,[],[f5958,f4733]) ).
fof(f6011,plain,
( $false
| ~ spl29_3
| ~ spl29_8
| spl29_15 ),
inference(forward_subsumption_resolution,[],[f5972,f4575]) ).
fof(f6012,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_15 ),
inference(avatar_contradiction_clause,[],[f6011]) ).
fof(f6016,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_16 ),
inference(resolution,[],[f5962,f3506]) ).
fof(f6027,definition,
( spl29_17
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_17])],[avatar_definition]) ).
fof(f6029,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_17 ),
inference(avatar_component_clause,[],[f6027]) ).
fof(f6030,plain,
( spl29_17
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f6016,f5960,f6027]) ).
fof(f6032,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_17 ),
inference(resolution,[],[f6029,f3412]) ).
fof(f6043,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_17 ),
inference(forward_subsumption_resolution,[],[f6032,f3411]) ).
fof(f6105,definition,
( spl29_21
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f6107,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_21 ),
inference(avatar_component_clause,[],[f6105]) ).
fof(f6109,definition,
( spl29_22
<=> pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f6111,plain,
( ~ pp(scratc1881789059_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_22 ),
inference(avatar_component_clause,[],[f6109]) ).
fof(f6112,plain,
( ~ spl29_21
| ~ spl29_22
| spl29_12 ),
inference(avatar_split_clause,[],[f5670,f5661,f6109,f6105]) ).
fof(f6121,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_3
| spl29_21 ),
inference(resolution,[],[f6107,f3789]) ).
fof(f6160,plain,
( $false
| ~ spl29_3
| ~ spl29_8
| spl29_21 ),
inference(forward_subsumption_resolution,[],[f6121,f5521]) ).
fof(f6161,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_21 ),
inference(avatar_contradiction_clause,[],[f6160]) ).
fof(f6165,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| spl29_22 ),
inference(resolution,[],[f6111,f3505]) ).
fof(f6178,definition,
( spl29_23
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).
fof(f6180,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| spl29_23 ),
inference(avatar_component_clause,[],[f6178]) ).
fof(f6181,plain,
( ~ spl29_23
| spl29_22 ),
inference(avatar_split_clause,[],[f6165,f6109,f6178]) ).
fof(f6183,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_23 ),
inference(resolution,[],[f6180,f3414]) ).
fof(f6198,definition,
( spl29_24
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_24])],[avatar_definition]) ).
fof(f6200,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1742720505_lessf,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_24 ),
inference(avatar_component_clause,[],[f6198]) ).
fof(f6201,plain,
( ~ spl29_24
| ~ spl29_17 ),
inference(avatar_split_clause,[],[f6043,f6027,f6198]) ).
fof(f6515,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089042301_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_24 ),
inference(resolution,[],[f6200,f2744]) ).
fof(f6567,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_23
| spl29_24 ),
inference(forward_subsumption_resolution,[],[f6515,f6183]) ).
fof(f6569,definition,
( spl29_32
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_32])],[avatar_definition]) ).
fof(f6571,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_32 ),
inference(avatar_component_clause,[],[f6569]) ).
fof(f6572,plain,
( ~ spl29_32
| spl29_23
| spl29_24 ),
inference(avatar_split_clause,[],[f6567,f6198,f6178,f6569]) ).
fof(f6647,plain,
( ~ pp(aa_fun171081125l_bool(scratc1002607076all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_3
| spl29_32 ),
inference(resolution,[],[f6571,f3789]) ).
fof(f6686,plain,
( $false
| ~ spl29_3
| ~ spl29_8
| spl29_32 ),
inference(forward_subsumption_resolution,[],[f6647,f5515]) ).
fof(f6687,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_32 ),
inference(avatar_contradiction_clause,[],[f6686]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f3764]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f3783]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_2
| spl29_3 ),
inference(sat_conversion,[],[f3790]) ).
cnf(s5,plain,
( spl29_1
| ~ spl29_5 ),
inference(sat_conversion,[],[f4664]) ).
cnf(s6,plain,
( spl29_5
| ~ spl29_6 ),
inference(sat_conversion,[],[f4707]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f4727]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_7
| spl29_8 ),
inference(sat_conversion,[],[f4734]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_9 ),
inference(sat_conversion,[],[f5603]) ).
cnf(s12,plain,
( spl29_9
| ~ spl29_12 ),
inference(sat_conversion,[],[f5664]) ).
cnf(s13,plain,
( spl29_9
| spl29_13 ),
inference(sat_conversion,[],[f5900]) ).
cnf(s15,plain,
( ~ spl29_13
| ~ spl29_15
| spl29_16 ),
inference(sat_conversion,[],[f5963]) ).
cnf(s16,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_15 ),
inference(sat_conversion,[],[f6012]) ).
cnf(s17,plain,
( ~ spl29_16
| spl29_17 ),
inference(sat_conversion,[],[f6030]) ).
cnf(s21,plain,
( spl29_12
| ~ spl29_21
| ~ spl29_22 ),
inference(sat_conversion,[],[f6112]) ).
cnf(s22,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_21 ),
inference(sat_conversion,[],[f6161]) ).
cnf(s23,plain,
( spl29_22
| ~ spl29_23 ),
inference(sat_conversion,[],[f6181]) ).
cnf(s24,plain,
( ~ spl29_17
| ~ spl29_24 ),
inference(sat_conversion,[],[f6201]) ).
cnf(s31,plain,
( spl29_23
| spl29_24
| ~ spl29_32 ),
inference(sat_conversion,[],[f6572]) ).
cnf(s36,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_32 ),
inference(sat_conversion,[],[f6687]) ).
cnf(s37,plain,
~ spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s39,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s41,plain,
~ spl29_6,
inference(rat,[],[s6,s37]) ).
cnf(s43,plain,
spl29_3,
inference(rat,[],[s3,s1,s39]) ).
cnf(s45,plain,
~ spl29_9,
inference(rat,[],[s9,s41]) ).
cnf(s46,plain,
spl29_7,
inference(rat,[],[s7,s41]) ).
cnf(s49,plain,
spl29_13,
inference(rat,[],[s13,s45]) ).
cnf(s50,plain,
~ spl29_12,
inference(rat,[],[s12,s45]) ).
cnf(s52,plain,
spl29_8,
inference(rat,[],[s8,s41,s46]) ).
cnf(s56,plain,
spl29_32,
inference(rat,[],[s36,s43,s52]) ).
cnf(s59,plain,
spl29_21,
inference(rat,[],[s22,s43,s52]) ).
cnf(s61,plain,
spl29_15,
inference(rat,[],[s16,s43,s52]) ).
cnf(s62,plain,
~ spl29_22,
inference(rat,[],[s21,s50,s59]) ).
cnf(s63,plain,
spl29_16,
inference(rat,[],[s15,s49,s61]) ).
cnf(s64,plain,
~ spl29_23,
inference(rat,[],[s23,s62]) ).
cnf(s65,plain,
spl29_17,
inference(rat,[],[s17,s63]) ).
cnf(s66,plain,
spl29_24,
inference(rat,[],[s31,s56,s64]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s24,s66,s65]) ).
fof(f6688,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM740+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:10:25 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 12.33/2.63 % (2939953)Detected formulas, will run a generic FOF schedule.
% 12.33/2.63 % (2939962)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2767218481:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.33/2.63 % (2939962)Refutation not found, incomplete strategy
% 12.33/2.63 % (2939962)------------------------------
% 12.33/2.63 % (2939962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.63 % (2939962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.63 % (2939962)CaDiCaL version: 2.1.3
% 12.33/2.63 % (2939962)Termination reason: Refutation not found, incomplete strategy
% 12.33/2.63 % (2939962)Time elapsed: 0.003 s
% 12.33/2.63 % (2939962)Peak memory usage: 88 MB
% 12.33/2.63 % (2939962)Instructions burned: 5 (million)
% 12.33/2.63 % (2939958)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=651069070:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.33/2.63 % (2939959)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=1173131990:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.33/2.63 % (2939961)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4237213008:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.33/2.63 % (2939960)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=1876769508:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.33/2.63 % (2939961)Refutation not found, incomplete strategy
% 12.33/2.63 % (2939961)------------------------------
% 12.33/2.63 % (2939961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.63 % (2939961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.63 % (2939961)CaDiCaL version: 2.1.3
% 12.33/2.63 % (2939961)Termination reason: Refutation not found, incomplete strategy
% 12.33/2.63 % (2939961)Time elapsed: 0.004 s
% 12.33/2.63 % (2939961)Peak memory usage: 88 MB
% 12.33/2.63 % (2939961)Instructions burned: 4 (million)
% 12.33/2.63 % (2939964)dis-21_1_sil=8000:lcm=predicate:random_seed=1856689115: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)
% 12.33/2.63 % (2939963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1027404485:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.33/2.63 % (2939964)Instruction limit reached!
% 12.33/2.63 % (2939964)------------------------------
% 12.33/2.63 % (2939964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.63 % (2939964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.63 % (2939964)CaDiCaL version: 2.1.3
% 12.33/2.63 % (2939964)Termination reason: Instruction limit
% 12.33/2.63 % (2939964)Termination phase: Saturation
% 12.33/2.63 % (2939964)Time elapsed: 0.064 s
% 12.33/2.63 % (2939964)Peak memory usage: 90 MB
% 12.33/2.63 % (2939964)Instructions burned: 129 (million)
% 12.33/2.63 % (2939963)Instruction limit reached!
% 12.33/2.63 % (2939963)------------------------------
% 12.33/2.63 % (2939963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.63 % (2939963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.63 % (2939963)CaDiCaL version: 2.1.3
% 12.33/2.63 % (2939963)Termination reason: Instruction limit
% 12.33/2.63 % (2939963)Termination phase: Saturation
% 12.33/2.63 % (2939963)Time elapsed: 0.075 s
% 12.33/2.63 % (2939963)Peak memory usage: 90 MB
% 12.33/2.63 % (2939963)Instructions burned: 140 (million)
% 12.33/2.63 % (2939962)------------------------------
% 12.33/2.63 % (2939962)------------------------------
% 12.33/2.63 % (2939974)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1749416742:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.33/2.63 % (2939972)lrs+10_1_sil=8000:sp=occurrence:random_seed=2723639603:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.33/2.63 % (2939973)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3842147024:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.33/2.63 % (2939974)Refutation not found, incomplete strategy
% 12.33/2.63 % (2939974)------------------------------
% 12.33/2.63 % (2939974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939974)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939974)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.83 % (2939974)Time elapsed: 0.003 s
% 13.34/2.83 % (2939974)Peak memory usage: 89 MB
% 13.34/2.83 % (2939974)Instructions burned: 6 (million)
% 13.34/2.83 % (2939972)Refutation not found, incomplete strategy
% 13.34/2.83 % (2939972)------------------------------
% 13.34/2.83 % (2939972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939972)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939972)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.83 % (2939972)Time elapsed: 0.005 s
% 13.34/2.83 % (2939972)Peak memory usage: 89 MB
% 13.34/2.83 % (2939972)Instructions burned: 6 (million)
% 13.34/2.83 % (2939973)Refutation not found, incomplete strategy
% 13.34/2.83 % (2939973)------------------------------
% 13.34/2.83 % (2939973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939973)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939973)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.83 % (2939973)Time elapsed: 0.007 s
% 13.34/2.83 % (2939973)Peak memory usage: 89 MB
% 13.34/2.83 % (2939973)Instructions burned: 14 (million)
% 13.34/2.83 % (2939961)------------------------------
% 13.34/2.83 % (2939961)------------------------------
% 13.34/2.83 % (2939974)------------------------------
% 13.34/2.83 % (2939974)------------------------------
% 13.34/2.83 % (2939978)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=1820165861:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.34/2.83 % (2939973)------------------------------
% 13.34/2.83 % (2939973)------------------------------
% 13.34/2.83 % (2939972)------------------------------
% 13.34/2.83 % (2939972)------------------------------
% 13.34/2.83 % (2939979)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=957574268:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 13.34/2.83 % (2939979)Refutation not found, incomplete strategy
% 13.34/2.83 % (2939979)------------------------------
% 13.34/2.83 % (2939979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939979)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939979)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.83 % (2939979)Time elapsed: 0.004 s
% 13.34/2.83 % (2939979)Peak memory usage: 89 MB
% 13.34/2.83 % (2939979)Instructions burned: 9 (million)
% 13.34/2.83 % (2939978)Instruction limit reached!
% 13.34/2.83 % (2939978)------------------------------
% 13.34/2.83 % (2939978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939978)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939978)Termination reason: Instruction limit
% 13.34/2.83 % (2939978)Termination phase: Saturation
% 13.34/2.83 % (2939978)Time elapsed: 0.141 s
% 13.34/2.83 % (2939978)Peak memory usage: 93 MB
% 13.34/2.83 % (2939978)Instructions burned: 248 (million)
% 13.34/2.83 % (2939981)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=303461081:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 13.34/2.83 % (2939982)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1416432699:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 13.34/2.83 % (2939979)------------------------------
% 13.34/2.83 % (2939979)------------------------------
% 13.34/2.83 % (2939982)Instruction limit reached!
% 13.34/2.83 % (2939982)------------------------------
% 13.34/2.83 % (2939982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939982)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939982)Termination reason: Instruction limit
% 13.34/2.83 % (2939982)Termination phase: Saturation
% 13.34/2.83 % (2939982)Time elapsed: 0.057 s
% 13.34/2.83 % (2939982)Peak memory usage: 90 MB
% 13.34/2.83 % (2939982)Instructions burned: 115 (million)
% 13.34/2.83 % (2939984)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2414313189:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.34/2.83 % (2939984)Instruction limit reached!
% 13.34/2.83 % (2939984)------------------------------
% 13.34/2.83 % (2939984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939984)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939984)Termination reason: Instruction limit
% 13.34/2.83 % (2939984)Termination phase: Saturation
% 13.34/2.83 % (2939984)Time elapsed: 0.059 s
% 13.34/2.83 % (2939984)Peak memory usage: 90 MB
% 13.34/2.83 % (2939984)Instructions burned: 129 (million)
% 13.34/2.83 % (2939987)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=841484453:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 13.34/2.83 % (2939988)lrs+10_1_sil=8000:sp=occurrence:random_seed=2527625066:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.34/2.83 % (2939987)Instruction limit reached!
% 13.34/2.83 % (2939987)------------------------------
% 13.34/2.83 % (2939987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939987)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939987)Termination reason: Instruction limit
% 13.34/2.83 % (2939987)Termination phase: Saturation
% 13.34/2.83 % (2939987)Time elapsed: 0.062 s
% 13.34/2.83 % (2939987)Peak memory usage: 90 MB
% 13.34/2.83 % (2939987)Instructions burned: 115 (million)
% 13.34/2.83 % (2939990)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1893748568:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.34/2.83 % (2939990)Refutation not found, incomplete strategy
% 13.34/2.83 % (2939990)------------------------------
% 13.34/2.83 % (2939990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939990)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939990)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.83 % (2939990)Time elapsed: 0.065 s
% 13.34/2.83 % (2939990)Peak memory usage: 92 MB
% 13.34/2.83 % (2939990)Instructions burned: 130 (million)
% 13.34/2.83 % (2939993)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=407164879:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.34/2.83 % (2939990)------------------------------
% 13.34/2.83 % (2939990)------------------------------
% 13.34/2.83 % (2939988)Instruction limit reached!
% 13.34/2.83 % (2939988)------------------------------
% 13.34/2.83 % (2939988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939988)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939988)Termination reason: Instruction limit
% 13.34/2.83 % (2939988)Termination phase: Saturation
% 13.34/2.83 % (2939988)Time elapsed: 0.530 s
% 13.34/2.83 % (2939988)Peak memory usage: 101 MB
% 13.34/2.83 % (2939988)Instructions burned: 908 (million)
% 13.34/2.83 % (2939996)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3771955878:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 13.34/2.83 % (2939960)First to succeed.
% 13.34/2.83 % (2939960)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2939953"
% 13.34/2.83 % (2939996)Instruction limit reached!
% 13.34/2.83 % (2939996)------------------------------
% 13.34/2.83 % (2939996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939996)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939996)Termination reason: Instruction limit
% 13.34/2.83 % (2939996)Termination phase: Saturation
% 13.34/2.83 % (2939996)Time elapsed: 0.069 s
% 13.34/2.83 % (2939996)Peak memory usage: 92 MB
% 13.34/2.83 % (2939996)Instructions burned: 135 (million)
% 13.34/2.83 % (2939997)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3732587223:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 13.34/2.83 % (2939997)Refutation not found, incomplete strategy
% 13.34/2.83 % (2939997)------------------------------
% 13.34/2.83 % (2939997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.83 % (2939997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.83 % (2939997)CaDiCaL version: 2.1.3
% 13.34/2.83 % (2939997)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.83 % (2939997)Time elapsed: 0.017 s
% 13.34/2.83 % (2939997)Peak memory usage: 89 MB
% 13.34/2.83 % (2939997)Instructions burned: 32 (million)
% 13.34/2.83 % (2939999)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1747769601:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 13.34/2.83 % (2939960)Refutation found. Thanks to Tanya!
% 13.34/2.83 % SZS status Theorem for theBenchmark
% 13.34/2.83 % SZS output start Proof for theBenchmark
% See solution above
% 14.24/3.02 % (2939960)------------------------------
% 14.24/3.02 % (2939960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.24/3.02 % (2939960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.24/3.02 % (2939960)CaDiCaL version: 2.1.3
% 14.24/3.02 % (2939960)Termination reason: Refutation
% 14.24/3.02 % (2939960)Time elapsed: 1.501 s
% 14.24/3.02 % (2939960)Peak memory usage: 149 MB
% 14.24/3.02 % (2939960)Instructions burned: 2592 (million)
% 14.24/3.02 % (2939960)------------------------------
% 14.24/3.02 % (2939960)------------------------------
% 14.24/3.02 % (2939953)Success in time 1.974 s
% 14.24/3.02 % Vampire exiting
%------------------------------------------------------------------------------