%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM701+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:16:35 PM UTC 2026
% Result : Theorem 22.10s 3.88s
% Output : Refutation 23.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 44
% Syntax : Number of formulae : 235 ( 44 unt; 23 def)
% Number of atoms : 562 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 570 ( 243 ~; 250 |; 31 &)
% ( 40 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 24 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 18 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 115 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f115,axiom,
! [X0] :
( pp(scratc1319186508_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1032860463nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1032860463nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc76782078_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f152,axiom,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_bx)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz25a) ).
fof(f198,axiom,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_gy)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10h) ).
fof(f201,axiom,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_he)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10e) ).
fof(f236,axiom,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_jt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_suc__p) ).
fof(f309,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_jt,X0))
<=> scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0),aTP_Lamm_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__11) ).
fof(f340,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0))
<=> pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__42) ).
fof(f343,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
<=> pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__45) ).
fof(f383,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
<=> pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__85) ).
fof(f387,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__89) ).
fof(f404,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__106) ).
fof(f412,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X1),X0))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__114) ).
fof(f421,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X0),X1))
=> pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__123) ).
fof(f427,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
<=> ( pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__129) ).
fof(f585,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f586,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(f588,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(f595,conjecture,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f596,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f595]) ).
fof(f597,plain,
~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f596]) ).
fof(f614,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc76782078_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f615,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc76782078_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f614]) ).
fof(f678,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0))) ) ),
inference(ennf_transformation,[],[f404]) ).
fof(f683,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X1),X0)) ) ),
inference(ennf_transformation,[],[f412]) ).
fof(f691,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
<=> ( pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f421]) ).
fof(f692,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X0),X1))
| ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X0),X1))) ) ),
inference(ennf_transformation,[],[f427]) ).
fof(f817,plain,
! [X0] :
( ( pp(scratc1319186508_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1032860463nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1032860463nd_imp,X0),fFalse))
| ~ pp(scratc1319186508_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f840,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc76782078_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc76782078_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f615]) ).
fof(f841,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc76782078_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc76782078_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1)) ) ),
inference(rectify,[],[f840]) ).
fof(f842,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc76782078_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc76782078_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f841]) ).
fof(f872,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_jt,X0))
| ~ scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0),aTP_Lamm_a) )
& ( scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_jt,X0)) ) ),
inference(nnf_transformation,[],[f309]) ).
fof(f903,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0)) ) ),
inference(nnf_transformation,[],[f340]) ).
fof(f906,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0)) ) ),
inference(nnf_transformation,[],[f343]) ).
fof(f946,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ) ),
inference(nnf_transformation,[],[f383]) ).
fof(f950,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f387]) ).
fof(f972,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f678]) ).
fof(f973,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f972]) ).
fof(f985,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ) ),
inference(nnf_transformation,[],[f683]) ).
fof(f986,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ) ),
inference(flattening,[],[f985]) ).
fof(f1002,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
| ( ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X0),X1)) ) )
& ( pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ) ),
inference(nnf_transformation,[],[f691]) ).
fof(f1003,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
| ( ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X0),X1)) ) )
& ( pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ) ),
inference(flattening,[],[f1002]) ).
fof(f1008,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X0),X1))
& pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X0),X1))
| ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1)) ) ),
inference(nnf_transformation,[],[f692]) ).
fof(f1009,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X0),X1))
& pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X0),X1))
| ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1)) ) ),
inference(flattening,[],[f1008]) ).
fof(f1223,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f1360,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1032860463nd_imp,X0),fFalse))
| ~ pp(scratc1319186508_d_not(X0)) ),
inference(cnf_transformation,[],[f817]) ).
fof(f1361,plain,
! [X0] :
( pp(scratc1319186508_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1032860463nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f817]) ).
fof(f1362,plain,
scratc1032860463nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1424,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc76782078_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1)) ),
inference(cnf_transformation,[],[f842]) ).
fof(f1425,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f842]) ).
fof(f1426,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
| scratc76782078_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f842]) ).
fof(f1427,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f842]) ).
fof(f1433,plain,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_bx)),
inference(cnf_transformation,[],[f152]) ).
fof(f1479,plain,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_gy)),
inference(cnf_transformation,[],[f198]) ).
fof(f1482,plain,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_he)),
inference(cnf_transformation,[],[f201]) ).
fof(f1517,plain,
pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_jt)),
inference(cnf_transformation,[],[f236]) ).
fof(f1630,plain,
! [X0] :
( scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_jt,X0)) ),
inference(cnf_transformation,[],[f872]) ).
fof(f1692,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0)) ),
inference(cnf_transformation,[],[f903]) ).
fof(f1698,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0)) ),
inference(cnf_transformation,[],[f906]) ).
fof(f1699,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) ),
inference(cnf_transformation,[],[f906]) ).
fof(f1778,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
inference(cnf_transformation,[],[f946]) ).
fof(f1787,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f950]) ).
fof(f1824,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0))) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1825,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X1),X0)) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1844,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X1),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ),
inference(cnf_transformation,[],[f986]) ).
fof(f1870,plain,
! [X0,X1] :
( pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ),
inference(cnf_transformation,[],[f1003]) ).
fof(f1882,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,X0),X1))
| ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1)) ),
inference(cnf_transformation,[],[f1009]) ).
fof(f2262,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f585]) ).
fof(f2263,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f2265,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f588]) ).
fof(f2272,plain,
~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f597]) ).
fof(f2324,plain,
! [X0] :
( pp(scratc1319186508_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f1361,f1362]) ).
fof(f2325,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1319186508_d_not(X0)) ),
inference(definition_unfolding,[],[f1360,f1362]) ).
fof(f2494,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2496,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl29_1 ),
inference(avatar_component_clause,[],[f2494]) ).
fof(f2497,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f2272,f2494]) ).
fof(f2498,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl29_1 ),
inference(resolution,[],[f2496,f1425]) ).
fof(f2499,plain,
( scratc76782078_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2496,f1426]) ).
fof(f2500,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_1 ),
inference(resolution,[],[f2496,f1427]) ).
fof(f2513,definition,
( spl29_2
<=> scratc76782078_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2515,plain,
( scratc76782078_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2513]) ).
fof(f2516,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2499,f2494,f2513]) ).
fof(f2518,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2520,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2518]) ).
fof(f2521,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2500,f2494,f2518]) ).
fof(f2522,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_3 ),
inference(resolution,[],[f2520,f1787]) ).
fof(f2560,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2562,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2560]) ).
fof(f2563,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f2498,f2494,f2560]) ).
fof(f2565,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(scratc1491838555all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2515,f1424]) ).
fof(f2566,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2565,f2562]) ).
fof(f2568,definition,
( spl29_5
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2569,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f2570,plain,
( spl29_5
| ~ spl29_2
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2566,f2560,f2513,f2568]) ).
fof(f2973,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_bx))
| pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(resolution,[],[f2569,f1778]) ).
fof(f3057,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_jt))
| scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aTP_Lamm_a)
| ~ spl29_5 ),
inference(resolution,[],[f2569,f1630]) ).
fof(f3073,plain,
( scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aTP_Lamm_a)
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f3057,f1517]) ).
fof(f3155,plain,
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f2973,f1433]) ).
fof(f3222,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1491838555all_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(f3224,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(avatar_component_clause,[],[f3222]) ).
fof(f3225,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f2522,f2518,f3222]) ).
fof(f3227,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,[],[f3224,f1425]) ).
fof(f3228,plain,
( scratc76782078_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,[],[f3224,f1426]) ).
fof(f3229,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,[],[f3224,f1427]) ).
fof(f3242,definition,
( spl29_7
<=> scratc76782078_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(f3244,plain,
( scratc76782078_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,[],[f3242]) ).
fof(f3245,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f3228,f3222,f3242]) ).
fof(f3247,definition,
( spl29_8
<=> 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_8])],[avatar_definition]) ).
fof(f3249,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_8 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f3250,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f3229,f3222,f3247]) ).
fof(f3251,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_8 ),
inference(resolution,[],[f3249,f1824]) ).
fof(f3252,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,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_8 ),
inference(resolution,[],[f3249,f1825]) ).
fof(f3298,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(scratc1491838555all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f3244,f1424]) ).
fof(f3299,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(scratc1491838555all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f3298,f3227]) ).
fof(f3301,definition,
( spl29_9
<=> ! [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(scratc1491838555all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f3302,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(scratc1491838555all_of(aTP_Lamm_a),X0)) )
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f3301]) ).
fof(f3303,plain,
( spl29_9
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f3299,f3242,f3222,f3301]) ).
fof(f3752,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_gy))
| pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(resolution,[],[f3302,f1698]) ).
fof(f3755,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aTP_Lamm_he))
| pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(resolution,[],[f3302,f1692]) ).
fof(f3840,plain,
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(forward_subsumption_resolution,[],[f3755,f1482]) ).
fof(f3843,plain,
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(forward_subsumption_resolution,[],[f3752,f1479]) ).
fof(f3964,definition,
( spl29_12
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,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(f3966,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1015484224lessis,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,[],[f3964]) ).
fof(f3967,plain,
( ~ spl29_12
| spl29_8 ),
inference(avatar_split_clause,[],[f3252,f3247,f3964]) ).
fof(f4150,plain,
( ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_hd,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,[],[f3966,f1882]) ).
fof(f4219,definition,
( spl29_15
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f4221,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032598060nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f4219]) ).
fof(f4222,plain,
( spl29_15
| spl29_8 ),
inference(avatar_split_clause,[],[f3251,f3247,f4219]) ).
fof(f4228,plain,
( pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_15 ),
inference(resolution,[],[f4221,f1870]) ).
fof(f4408,definition,
( spl29_18
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,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_18])],[avatar_definition]) ).
fof(f4410,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,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_18 ),
inference(avatar_component_clause,[],[f4408]) ).
fof(f4412,definition,
( spl29_19
<=> pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_19])],[avatar_definition]) ).
fof(f4414,plain,
( ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_19 ),
inference(avatar_component_clause,[],[f4412]) ).
fof(f4415,plain,
( ~ spl29_18
| ~ spl29_19
| spl29_12 ),
inference(avatar_split_clause,[],[f4150,f3964,f4412,f4408]) ).
fof(f4424,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_5
| spl29_18 ),
inference(resolution,[],[f4410,f2569]) ).
fof(f4463,plain,
( $false
| ~ spl29_5
| ~ spl29_9
| spl29_18 ),
inference(forward_subsumption_resolution,[],[f4424,f3840]) ).
fof(f4464,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_18 ),
inference(avatar_contradiction_clause,[],[f4463]) ).
fof(f4468,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_19 ),
inference(resolution,[],[f4414,f2324]) ).
fof(f4481,definition,
( spl29_20
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_20])],[avatar_definition]) ).
fof(f4483,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_20 ),
inference(avatar_component_clause,[],[f4481]) ).
fof(f4484,plain,
( ~ spl29_20
| spl29_19 ),
inference(avatar_split_clause,[],[f4468,f4412,f4481]) ).
fof(f4606,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_20 ),
inference(resolution,[],[f4483,f2265]) ).
fof(f5148,definition,
( spl29_40
<=> scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_40])],[avatar_definition]) ).
fof(f5150,plain,
( scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aTP_Lamm_a)
| ~ spl29_40 ),
inference(avatar_component_clause,[],[f5148]) ).
fof(f5151,plain,
( spl29_40
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3073,f2568,f5148]) ).
fof(f6125,definition,
( spl29_88
<=> pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_88])],[avatar_definition]) ).
fof(f6127,plain,
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_88 ),
inference(avatar_component_clause,[],[f6125]) ).
fof(f6128,plain,
( spl29_88
| ~ spl29_9 ),
inference(avatar_split_clause,[],[f3843,f3301,f6125]) ).
fof(f6129,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_88 ),
inference(resolution,[],[f6127,f1699]) ).
fof(f8300,definition,
( spl29_193
<=> pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_193])],[avatar_definition]) ).
fof(f8302,plain,
( pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_193 ),
inference(avatar_component_clause,[],[f8300]) ).
fof(f8303,plain,
( spl29_193
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3155,f2568,f8300]) ).
fof(f9702,definition,
( spl29_233
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_233])],[avatar_definition]) ).
fof(f9704,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_233 ),
inference(avatar_component_clause,[],[f9702]) ).
fof(f9706,definition,
( spl29_234
<=> pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_234])],[avatar_definition]) ).
fof(f9708,plain,
( pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_234 ),
inference(avatar_component_clause,[],[f9706]) ).
fof(f9709,plain,
( ~ spl29_233
| spl29_234
| ~ spl29_15 ),
inference(avatar_split_clause,[],[f4228,f4219,f9706,f9702]) ).
fof(f9775,definition,
( spl29_235
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_235])],[avatar_definition]) ).
fof(f9776,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),fFalse))
| ~ spl29_235 ),
inference(avatar_component_clause,[],[f9775]) ).
fof(f9777,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),fFalse))
| spl29_235 ),
inference(avatar_component_clause,[],[f9775]) ).
fof(f9779,plain,
( ~ pp(scratc1319186508_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_235 ),
inference(resolution,[],[f9777,f2325]) ).
fof(f9799,plain,
( $false
| ~ spl29_234
| spl29_235 ),
inference(forward_subsumption_resolution,[],[f9779,f9708]) ).
fof(f9800,plain,
( ~ spl29_234
| spl29_235 ),
inference(avatar_contradiction_clause,[],[f9799]) ).
fof(f9802,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| pp(fFalse)
| ~ spl29_235 ),
inference(resolution,[],[f9776,f2263]) ).
fof(f9814,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_235 ),
inference(forward_subsumption_resolution,[],[f9802,f2262]) ).
fof(f9864,definition,
( spl29_237
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_237])],[avatar_definition]) ).
fof(f9866,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149467836moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_237 ),
inference(avatar_component_clause,[],[f9864]) ).
fof(f9867,plain,
( ~ spl29_237
| ~ spl29_235 ),
inference(avatar_split_clause,[],[f9814,f9775,f9864]) ).
fof(f9868,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1764208430_29_ii,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_bw,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_237 ),
inference(resolution,[],[f9866,f1844]) ).
fof(f9928,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,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
| spl29_237 ),
inference(forward_subsumption_resolution,[],[f9868,f4606]) ).
fof(f9930,definition,
( spl29_238
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,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_238])],[avatar_definition]) ).
fof(f9932,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,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_238 ),
inference(avatar_component_clause,[],[f9930]) ).
fof(f9933,plain,
( ~ spl29_238
| spl29_20
| spl29_237 ),
inference(avatar_split_clause,[],[f9928,f9864,f4481,f9930]) ).
fof(f9942,plain,
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_9
| spl29_238 ),
inference(resolution,[],[f9932,f3302]) ).
fof(f9982,plain,
( $false
| ~ spl29_9
| ~ spl29_193
| spl29_238 ),
inference(forward_subsumption_resolution,[],[f9942,f8302]) ).
fof(f9983,plain,
( ~ spl29_9
| ~ spl29_193
| spl29_238 ),
inference(avatar_contradiction_clause,[],[f9982]) ).
fof(f10011,plain,
( ! [X0] :
( ~ scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) )
| spl29_233 ),
inference(resolution,[],[f9704,f1424]) ).
fof(f10046,plain,
( ! [X0] :
( ~ scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0)
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) )
| spl29_233 ),
inference(forward_subsumption_resolution,[],[f10011,f1223]) ).
fof(f11526,definition,
( spl29_273
<=> ! [X0] :
( ~ scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0)
| ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_273])],[avatar_definition]) ).
fof(f11527,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1491838555all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0) )
| ~ spl29_273 ),
inference(avatar_component_clause,[],[f11526]) ).
fof(f11528,plain,
( spl29_273
| spl29_233 ),
inference(avatar_split_clause,[],[f10046,f9702,f11526]) ).
fof(f11530,plain,
( ~ scratc76782078_is_of(aa_TPTP_ind_TPTP_ind(scratc574464486rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_273 ),
inference(resolution,[],[f11527,f1698]) ).
fof(f11547,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_40
| ~ spl29_273 ),
inference(forward_subsumption_resolution,[],[f11530,f5150]) ).
fof(f11550,plain,
( $false
| ~ spl29_40
| ~ spl29_88
| ~ spl29_273 ),
inference(forward_subsumption_resolution,[],[f11547,f6129]) ).
fof(f11551,plain,
( ~ spl29_40
| ~ spl29_88
| ~ spl29_273 ),
inference(avatar_contradiction_clause,[],[f11550]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2497]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2516]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2521]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f2563]) ).
cnf(s5,plain,
( ~ spl29_2
| ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f2570]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f3225]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f3245]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_7
| spl29_9 ),
inference(sat_conversion,[],[f3303]) ).
cnf(s12,plain,
( spl29_8
| ~ spl29_12 ),
inference(sat_conversion,[],[f3967]) ).
cnf(s14,plain,
( spl29_8
| spl29_15 ),
inference(sat_conversion,[],[f4222]) ).
cnf(s18,plain,
( spl29_12
| ~ spl29_18
| ~ spl29_19 ),
inference(sat_conversion,[],[f4415]) ).
cnf(s19,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_18 ),
inference(sat_conversion,[],[f4464]) ).
cnf(s20,plain,
( spl29_19
| ~ spl29_20 ),
inference(sat_conversion,[],[f4484]) ).
cnf(s40,plain,
( ~ spl29_5
| spl29_40 ),
inference(sat_conversion,[],[f5151]) ).
cnf(s87,plain,
( ~ spl29_9
| spl29_88 ),
inference(sat_conversion,[],[f6128]) ).
cnf(s192,plain,
( ~ spl29_5
| spl29_193 ),
inference(sat_conversion,[],[f8303]) ).
cnf(s231,plain,
( ~ spl29_15
| ~ spl29_233
| spl29_234 ),
inference(sat_conversion,[],[f9709]) ).
cnf(s235,plain,
( ~ spl29_234
| spl29_235 ),
inference(sat_conversion,[],[f9800]) ).
cnf(s236,plain,
( ~ spl29_235
| ~ spl29_237 ),
inference(sat_conversion,[],[f9867]) ).
cnf(s237,plain,
( spl29_20
| spl29_237
| ~ spl29_238 ),
inference(sat_conversion,[],[f9933]) ).
cnf(s238,plain,
( ~ spl29_9
| ~ spl29_193
| spl29_238 ),
inference(sat_conversion,[],[f9983]) ).
cnf(s280,plain,
( spl29_233
| spl29_273 ),
inference(sat_conversion,[],[f11528]) ).
cnf(s282,plain,
( ~ spl29_40
| ~ spl29_88
| ~ spl29_273 ),
inference(sat_conversion,[],[f11551]) ).
cnf(s284,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s285,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s286,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s296,plain,
~ spl29_6,
inference(rat,[],[s6,s285]) ).
cnf(s297,plain,
spl29_5,
inference(rat,[],[s5,s284,s286]) ).
cnf(s303,plain,
~ spl29_8,
inference(rat,[],[s8,s296]) ).
cnf(s304,plain,
spl29_7,
inference(rat,[],[s7,s296]) ).
cnf(s320,plain,
spl29_193,
inference(rat,[],[s192,s297]) ).
cnf(s381,plain,
spl29_40,
inference(rat,[],[s40,s297]) ).
cnf(s384,plain,
spl29_15,
inference(rat,[],[s14,s303]) ).
cnf(s385,plain,
~ spl29_12,
inference(rat,[],[s12,s303]) ).
cnf(s387,plain,
spl29_9,
inference(rat,[],[s9,s296,s304]) ).
cnf(s401,plain,
spl29_238,
inference(rat,[],[s238,s320,s387]) ).
cnf(s438,plain,
spl29_88,
inference(rat,[],[s87,s387]) ).
cnf(s480,plain,
spl29_18,
inference(rat,[],[s19,s297,s387]) ).
cnf(s487,plain,
~ spl29_273,
inference(rat,[],[s282,s381,s438]) ).
cnf(s490,plain,
~ spl29_19,
inference(rat,[],[s18,s385,s480]) ).
cnf(s495,plain,
spl29_233,
inference(rat,[],[s280,s487]) ).
cnf(s497,plain,
~ spl29_20,
inference(rat,[],[s20,s490]) ).
cnf(s503,plain,
spl29_234,
inference(rat,[],[s231,s384,s495]) ).
cnf(s506,plain,
spl29_237,
inference(rat,[],[s237,s401,s497]) ).
cnf(s512,plain,
spl29_235,
inference(rat,[],[s235,s503]) ).
cnf(s514,plain,
$false,
inference(rat,[],[s236,s506,s512]) ).
fof(f11552,plain,
$false,
inference(avatar_sat_refutation,[],[s514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM701+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:10:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.75/2.14 % (3882216)Detected formulas, will run a generic FOF schedule.
% 10.75/2.14 % (3882261)dis-21_1_sil=8000:lcm=predicate:random_seed=777089290: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)
% 10.75/2.14 % (3882261)Instruction limit reached!
% 10.75/2.14 % (3882261)------------------------------
% 10.75/2.14 % (3882261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (3882261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (3882261)CaDiCaL version: 2.1.3
% 10.75/2.14 % (3882261)Termination reason: Instruction limit
% 10.75/2.14 % (3882261)Termination phase: Saturation
% 10.75/2.14 % (3882261)Time elapsed: 0.039 s
% 10.75/2.14 % (3882261)Peak memory usage: 90 MB
% 10.75/2.14 % (3882261)Instructions burned: 130 (million)
% 10.75/2.14 % (3882257)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=2639594247:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.75/2.14 % (3882260)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2048565571:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.75/2.14 % (3882256)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=1561532016:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.75/2.14 % (3882259)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3242553681:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.75/2.14 % (3882258)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2876925876:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.75/2.14 % (3882255)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=2848638351:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.75/2.14 % (3882258)Refutation not found, incomplete strategy
% 10.75/2.14 % (3882258)------------------------------
% 10.75/2.14 % (3882258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (3882258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (3882258)CaDiCaL version: 2.1.3
% 10.75/2.14 % (3882258)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.14 % (3882258)Time elapsed: 0.002 s
% 10.75/2.14 % (3882258)Peak memory usage: 88 MB
% 10.75/2.14 % (3882258)Instructions burned: 2 (million)
% 10.75/2.14 % (3882259)Refutation not found, incomplete strategy
% 10.75/2.14 % (3882259)------------------------------
% 10.75/2.14 % (3882259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (3882259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (3882259)CaDiCaL version: 2.1.3
% 10.75/2.14 % (3882259)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.14 % (3882259)Time elapsed: 0.003 s
% 10.75/2.14 % (3882259)Peak memory usage: 88 MB
% 10.75/2.14 % (3882259)Instructions burned: 3 (million)
% 10.75/2.14 % (3882260)Instruction limit reached!
% 10.75/2.14 % (3882260)------------------------------
% 10.75/2.14 % (3882260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (3882260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (3882260)CaDiCaL version: 2.1.3
% 10.75/2.14 % (3882260)Termination reason: Instruction limit
% 10.75/2.14 % (3882260)Termination phase: Saturation
% 10.75/2.14 % (3882260)Time elapsed: 0.101 s
% 10.75/2.14 % (3882260)Peak memory usage: 90 MB
% 10.75/2.14 % (3882260)Instructions burned: 139 (million)
% 10.75/2.14 % (3882273)lrs+10_1_sil=8000:sp=occurrence:random_seed=2869090919:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.75/2.14 % (3882273)Refutation not found, incomplete strategy
% 10.75/2.14 % (3882273)------------------------------
% 10.75/2.14 % (3882273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.14 % (3882273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.14 % (3882273)CaDiCaL version: 2.1.3
% 10.75/2.14 % (3882273)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.14 % (3882273)Time elapsed: 0.002 s
% 10.75/2.14 % (3882273)Peak memory usage: 88 MB
% 10.75/2.14 % (3882273)Instructions burned: 2 (million)
% 10.75/2.14 % (3882259)------------------------------
% 20.34/3.57 % (3882259)------------------------------
% 20.34/3.57 % (3882258)------------------------------
% 20.34/3.57 % (3882258)------------------------------
% 20.34/3.57 % (3882299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=612633633:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 20.34/3.57 % (3882299)Refutation not found, incomplete strategy
% 20.34/3.57 % (3882299)------------------------------
% 20.34/3.57 % (3882299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/3.57 % (3882299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.57 % (3882299)CaDiCaL version: 2.1.3
% 20.34/3.57 % (3882299)Termination reason: Refutation not found, incomplete strategy
% 20.34/3.57 % (3882299)Time elapsed: 0.005 s
% 20.34/3.57 % (3882299)Peak memory usage: 88 MB
% 20.34/3.57 % (3882299)Instructions burned: 9 (million)
% 20.34/3.57 % (3882273)------------------------------
% 20.34/3.57 % (3882273)------------------------------
% 20.34/3.57 % (3882325)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4044850410:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.34/3.57 % (3882325)Refutation not found, incomplete strategy
% 20.34/3.57 % (3882325)------------------------------
% 20.34/3.57 % (3882325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/3.57 % (3882325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.57 % (3882325)CaDiCaL version: 2.1.3
% 20.34/3.57 % (3882325)Termination reason: Refutation not found, incomplete strategy
% 20.34/3.57 % (3882325)Time elapsed: 0.003 s
% 20.34/3.57 % (3882325)Peak memory usage: 89 MB
% 20.34/3.57 % (3882325)Instructions burned: 7 (million)
% 20.34/3.57 % (3882312)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3972747160:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 20.34/3.57 % (3882313)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=1037312351:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.34/3.57 % (3882312)Refutation not found, incomplete strategy
% 20.34/3.57 % (3882312)------------------------------
% 20.34/3.57 % (3882312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/3.57 % (3882312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.57 % (3882312)CaDiCaL version: 2.1.3
% 20.34/3.57 % (3882312)Termination reason: Refutation not found, incomplete strategy
% 20.34/3.57 % (3882312)Time elapsed: 0.005 s
% 20.34/3.57 % (3882312)Peak memory usage: 89 MB
% 20.34/3.57 % (3882312)Instructions burned: 5 (million)
% 20.34/3.57 % (3882299)------------------------------
% 20.34/3.57 % (3882299)------------------------------
% 20.34/3.57 % (3882313)Instruction limit reached!
% 20.34/3.57 % (3882313)------------------------------
% 20.34/3.57 % (3882313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/3.57 % (3882313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.57 % (3882313)CaDiCaL version: 2.1.3
% 20.34/3.57 % (3882313)Termination reason: Instruction limit
% 20.34/3.57 % (3882313)Termination phase: Saturation
% 20.34/3.57 % (3882313)Time elapsed: 0.119 s
% 20.34/3.57 % (3882313)Peak memory usage: 90 MB
% 20.34/3.57 % (3882313)Instructions burned: 249 (million)
% 20.34/3.57 % (3882325)------------------------------
% 20.34/3.57 % (3882325)------------------------------
% 20.34/3.57 % (3882312)------------------------------
% 20.34/3.57 % (3882312)------------------------------
% 20.34/3.57 % (3882402)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=865428342:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.34/3.57 % (3882415)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3179772714:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.34/3.57 % (3882403)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=657382965:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.34/3.57 % (3882415)Instruction limit reached!
% 20.34/3.57 % (3882415)------------------------------
% 20.34/3.57 % (3882415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/3.57 % (3882415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.57 % (3882415)CaDiCaL version: 2.1.3
% 20.34/3.57 % (3882415)Termination reason: Instruction limit
% 20.34/3.57 % (3882415)Termination phase: Saturation
% 20.34/3.57 % (3882415)Time elapsed: 0.033 s
% 22.10/3.88 % (3882415)Peak memory usage: 89 MB
% 22.10/3.88 % (3882415)Instructions burned: 128 (million)
% 22.10/3.88 % (3882403)Instruction limit reached!
% 22.10/3.88 % (3882403)------------------------------
% 22.10/3.88 % (3882403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882403)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882403)Termination reason: Instruction limit
% 22.10/3.88 % (3882403)Termination phase: Saturation
% 22.10/3.88 % (3882403)Time elapsed: 0.060 s
% 22.10/3.88 % (3882403)Peak memory usage: 91 MB
% 22.10/3.88 % (3882403)Instructions burned: 113 (million)
% 22.10/3.88 % (3882417)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1474761051:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 22.10/3.88 % (3882425)lrs+10_1_sil=8000:sp=occurrence:random_seed=2800155904:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 22.10/3.88 % (3882417)Instruction limit reached!
% 22.10/3.88 % (3882417)------------------------------
% 22.10/3.88 % (3882417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882417)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882417)Termination reason: Instruction limit
% 22.10/3.88 % (3882417)Termination phase: Saturation
% 22.10/3.88 % (3882417)Time elapsed: 0.063 s
% 22.10/3.88 % (3882417)Peak memory usage: 90 MB
% 22.10/3.88 % (3882417)Instructions burned: 116 (million)
% 22.10/3.88 % (3882442)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2003265974:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 22.10/3.88 % (3882442)Refutation not found, incomplete strategy
% 22.10/3.88 % (3882442)------------------------------
% 22.10/3.88 % (3882442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882442)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882442)Termination reason: Refutation not found, incomplete strategy
% 22.10/3.88 % (3882442)Time elapsed: 0.043 s
% 22.10/3.88 % (3882442)Peak memory usage: 90 MB
% 22.10/3.88 % (3882442)Instructions burned: 84 (million)
% 22.10/3.88 % (3882425)Instruction limit reached!
% 22.10/3.88 % (3882425)------------------------------
% 22.10/3.88 % (3882425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882425)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882425)Termination reason: Instruction limit
% 22.10/3.88 % (3882425)Termination phase: Saturation
% 22.10/3.88 % (3882425)Time elapsed: 0.201 s
% 22.10/3.88 % (3882425)Peak memory usage: 94 MB
% 22.10/3.88 % (3882425)Instructions burned: 908 (million)
% 22.10/3.88 % (3882471)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2264908145:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 22.10/3.88 % (3882473)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2465731081:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 22.10/3.88 % (3882442)------------------------------
% 22.10/3.88 % (3882442)------------------------------
% 22.10/3.88 % (3882473)Instruction limit reached!
% 22.10/3.88 % (3882473)------------------------------
% 22.10/3.88 % (3882473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882473)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882473)Termination reason: Instruction limit
% 22.10/3.88 % (3882473)Termination phase: Saturation
% 22.10/3.88 % (3882473)Time elapsed: 0.042 s
% 22.10/3.88 % (3882473)Peak memory usage: 94 MB
% 22.10/3.88 % (3882473)Instructions burned: 138 (million)
% 22.10/3.88 % (3882477)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=763008584:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 22.10/3.88 % (3882476)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2581013568:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 22.10/3.88 % (3882476)Refutation not found, incomplete strategy
% 22.10/3.88 % (3882476)------------------------------
% 22.10/3.88 % (3882476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882476)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882476)Termination reason: Refutation not found, incomplete strategy
% 22.10/3.88 % (3882476)Time elapsed: 0.013 s
% 22.10/3.88 % (3882476)Peak memory usage: 89 MB
% 22.10/3.88 % (3882476)Instructions burned: 23 (million)
% 22.10/3.88 % (3882476)------------------------------
% 22.10/3.88 % (3882476)------------------------------
% 22.10/3.88 % (3882480)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=3099013159:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 22.10/3.88 % (3882480)Refutation not found, incomplete strategy
% 22.10/3.88 % (3882480)------------------------------
% 22.10/3.88 % (3882480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882480)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882480)Termination reason: Refutation not found, incomplete strategy
% 22.10/3.88 % (3882480)Time elapsed: 0.007 s
% 22.10/3.88 % (3882480)Peak memory usage: 89 MB
% 22.10/3.88 % (3882480)Instructions burned: 12 (million)
% 22.10/3.88 % (3882480)------------------------------
% 22.10/3.88 % (3882480)------------------------------
% 22.10/3.88 % (3882482)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=712676640:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 22.10/3.88 % (3882402)Instruction limit reached!
% 22.10/3.88 % (3882402)------------------------------
% 22.10/3.88 % (3882402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882402)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882402)Termination reason: Instruction limit
% 22.10/3.88 % (3882402)Termination phase: Saturation
% 22.10/3.88 % (3882402)Time elapsed: 1.556 s
% 22.10/3.88 % (3882402)Peak memory usage: 143 MB
% 22.10/3.88 % (3882402)Instructions burned: 2351 (million)
% 22.10/3.88 % (3882482)Instruction limit reached!
% 22.10/3.88 % (3882482)------------------------------
% 22.10/3.88 % (3882482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882482)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882482)Termination reason: Instruction limit
% 22.10/3.88 % (3882482)Termination phase: Saturation
% 22.10/3.88 % (3882482)Time elapsed: 0.066 s
% 22.10/3.88 % (3882482)Peak memory usage: 92 MB
% 22.10/3.88 % (3882482)Instructions burned: 139 (million)
% 22.10/3.88 % (3882485)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2941509685:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 22.10/3.88 % (3882485)Refutation not found, incomplete strategy
% 22.10/3.88 % (3882485)------------------------------
% 22.10/3.88 % (3882485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882485)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882485)Termination reason: Refutation not found, incomplete strategy
% 22.10/3.88 % (3882485)Time elapsed: 0.003 s
% 22.10/3.88 % (3882485)Peak memory usage: 89 MB
% 22.10/3.88 % (3882485)Instructions burned: 2 (million)
% 22.10/3.88 % (3882486)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=192455922:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 22.10/3.88 % (3882486)Refutation not found, incomplete strategy
% 22.10/3.88 % (3882486)------------------------------
% 22.10/3.88 % (3882486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882486)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882486)Termination reason: Refutation not found, incomplete strategy
% 22.10/3.88 % (3882486)Time elapsed: 0.003 s
% 22.10/3.88 % (3882486)Peak memory usage: 89 MB
% 22.10/3.88 % (3882486)Instructions burned: 3 (million)
% 22.10/3.88 % (3882485)------------------------------
% 22.10/3.88 % (3882485)------------------------------
% 22.10/3.88 % (3882486)------------------------------
% 22.10/3.88 % (3882486)------------------------------
% 22.10/3.88 % (3882489)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2764533324:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 22.10/3.88 % (3882490)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1636941837:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 22.10/3.88 % (3882257)First to succeed.
% 22.10/3.88 % (3882257)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3882216"
% 22.10/3.88 % (3882490)Instruction limit reached!
% 22.10/3.88 % (3882490)------------------------------
% 22.10/3.88 % (3882490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.10/3.88 % (3882490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.10/3.88 % (3882490)CaDiCaL version: 2.1.3
% 22.10/3.88 % (3882490)Termination reason: Instruction limit
% 22.10/3.88 % (3882490)Termination phase: Saturation
% 22.10/3.88 % (3882490)Time elapsed: 0.078 s
% 22.10/3.88 % (3882490)Peak memory usage: 91 MB
% 22.10/3.88 % (3882490)Instructions burned: 150 (million)
% 22.10/3.88 % (3882493)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1277277433:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 22.10/3.88 % (3882257)Refutation found. Thanks to Tanya!
% 22.10/3.88 % SZS status Theorem for theBenchmark
% 22.10/3.88 % SZS output start Proof for theBenchmark
% See solution above
% 23.33/4.07 % (3882257)------------------------------
% 23.33/4.07 % (3882257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.33/4.07 % (3882257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.07 % (3882257)CaDiCaL version: 2.1.3
% 23.33/4.07 % (3882257)Termination reason: Refutation
% 23.33/4.07 % (3882257)Time elapsed: 2.807 s
% 23.33/4.07 % (3882257)Peak memory usage: 165 MB
% 23.33/4.07 % (3882257)Instructions burned: 4487 (million)
% 23.33/4.07 % (3882257)------------------------------
% 23.33/4.07 % (3882257)------------------------------
% 23.33/4.07 % (3882216)Success in time 3.252 s
% 23.33/4.07 % Vampire exiting
%------------------------------------------------------------------------------