%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM667+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:16:20 PM UTC 2026
% Result : Theorem 34.64s 6.44s
% Output : Refutation 40.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 55
% Syntax : Number of formulae : 302 ( 51 unt; 32 def)
% Number of atoms : 790 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 847 ( 359 ~; 383 |; 41 &)
% ( 55 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 37 ( 35 usr; 33 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 17 con; 0-2 aty)
% Number of variables : 172 ( 0 sgn 170 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,axiom,
! [X0] :
( pp(scratc1597439679_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1810067068nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc355035249_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f149,axiom,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_bt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz16d) ).
fof(f159,axiom,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_cr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz10e) ).
fof(f160,axiom,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ct)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz10d) ).
fof(f162,axiom,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_cx)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz14) ).
fof(f291,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cx,X0))
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__35) ).
fof(f293,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ct,X0))
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__37) ).
fof(f294,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cr,X0))
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__38) ).
fof(f304,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__48) ).
fof(f305,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__49) ).
fof(f327,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__71) ).
fof(f331,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
=> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__75) ).
fof(f337,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,X0),X1))
<=> ( pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__81) ).
fof(f355,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__99) ).
fof(f356,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__100) ).
fof(f373,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__117) ).
fof(f375,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__119) ).
fof(f426,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f427,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f429,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f436,conjecture,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f437,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f436]) ).
fof(f438,plain,
~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f437]) ).
fof(f455,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc355035249_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f456,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc355035249_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f455]) ).
fof(f521,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f327]) ).
fof(f525,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,X0),X1))
<=> ( pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f331]) ).
fof(f527,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))) ) ),
inference(ennf_transformation,[],[f337]) ).
fof(f536,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)) ) ),
inference(ennf_transformation,[],[f373]) ).
fof(f537,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)) ) ),
inference(flattening,[],[f536]) ).
fof(f540,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f375]) ).
fof(f541,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) ),
inference(flattening,[],[f540]) ).
fof(f612,plain,
! [X0] :
( ( pp(scratc1597439679_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X0),fFalse))
| ~ pp(scratc1597439679_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f635,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc355035249_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc355035249_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f456]) ).
fof(f636,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc355035249_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc355035249_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1)) ) ),
inference(rectify,[],[f635]) ).
fof(f637,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc355035249_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc355035249_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f636]) ).
fof(f691,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cx,X0))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cx,X0)) ) ),
inference(nnf_transformation,[],[f291]) ).
fof(f693,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ct,X0))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ct,X0)) ) ),
inference(nnf_transformation,[],[f293]) ).
fof(f694,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cr,X0))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cr,X0)) ) ),
inference(nnf_transformation,[],[f294]) ).
fof(f704,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ) ),
inference(nnf_transformation,[],[f304]) ).
fof(f705,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f305]) ).
fof(f734,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,X0),X1)) ) ),
inference(nnf_transformation,[],[f521]) ).
fof(f735,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,X0),X1)) ) ),
inference(flattening,[],[f734]) ).
fof(f742,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,X0),X1))
| ( ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) )
& ( pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,X0),X1)) ) ),
inference(nnf_transformation,[],[f525]) ).
fof(f743,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,X0),X1))
| ( ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) )
& ( pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,X0),X1)) ) ),
inference(flattening,[],[f742]) ).
fof(f749,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
& pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,X0),X1)) ) ),
inference(nnf_transformation,[],[f527]) ).
fof(f750,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
& pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,X0),X1)) ) ),
inference(flattening,[],[f749]) ).
fof(f770,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(nnf_transformation,[],[f355]) ).
fof(f771,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
inference(nnf_transformation,[],[f356]) ).
fof(f789,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f537]) ).
fof(f790,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(flattening,[],[f789]) ).
fof(f793,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f541]) ).
fof(f794,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f793]) ).
fof(f1004,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X0),fFalse))
| ~ pp(scratc1597439679_d_not(X0)) ),
inference(cnf_transformation,[],[f612]) ).
fof(f1005,plain,
! [X0] :
( pp(scratc1597439679_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f612]) ).
fof(f1006,plain,
scratc1810067068nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1068,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc355035249_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1)) ),
inference(cnf_transformation,[],[f637]) ).
fof(f1069,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f637]) ).
fof(f1070,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
| scratc355035249_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f637]) ).
fof(f1071,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f637]) ).
fof(f1074,plain,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_bt)),
inference(cnf_transformation,[],[f149]) ).
fof(f1084,plain,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_cr)),
inference(cnf_transformation,[],[f159]) ).
fof(f1085,plain,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ct)),
inference(cnf_transformation,[],[f160]) ).
fof(f1087,plain,
pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_cx)),
inference(cnf_transformation,[],[f162]) ).
fof(f1280,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cx,X0)) ),
inference(cnf_transformation,[],[f691]) ).
fof(f1284,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ct,X0)) ),
inference(cnf_transformation,[],[f693]) ).
fof(f1286,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cr,X0)) ),
inference(cnf_transformation,[],[f694]) ).
fof(f1306,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ),
inference(cnf_transformation,[],[f704]) ).
fof(f1309,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f705]) ).
fof(f1357,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,X0),X1)) ),
inference(cnf_transformation,[],[f735]) ).
fof(f1369,plain,
! [X0,X1] :
( pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,X0),X1)) ),
inference(cnf_transformation,[],[f743]) ).
fof(f1382,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1))
| ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,X0),X1)) ),
inference(cnf_transformation,[],[f750]) ).
fof(f1421,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(cnf_transformation,[],[f770]) ).
fof(f1424,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f771]) ).
fof(f1458,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ),
inference(cnf_transformation,[],[f790]) ).
fof(f1467,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X1)) ),
inference(cnf_transformation,[],[f794]) ).
fof(f1468,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X1),X2)) ),
inference(cnf_transformation,[],[f794]) ).
fof(f1469,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X0),X2)) ),
inference(cnf_transformation,[],[f794]) ).
fof(f1584,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f426]) ).
fof(f1585,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f427]) ).
fof(f1587,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f429]) ).
fof(f1594,plain,
~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f438]) ).
fof(f1646,plain,
! [X0] :
( pp(scratc1597439679_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f1005,f1006]) ).
fof(f1647,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1597439679_d_not(X0)) ),
inference(definition_unfolding,[],[f1004,f1006]) ).
fof(f1750,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f1752,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f1753,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1594,f1750]) ).
fof(f1754,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f1752,f1069]) ).
fof(f1755,plain,
( scratc355035249_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f1752,f1070]) ).
fof(f1756,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f1752,f1071]) ).
fof(f1769,definition,
( spl29_2
<=> scratc355035249_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f1771,plain,
( scratc355035249_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1772,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f1755,f1750,f1769]) ).
fof(f1774,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f1776,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_3 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f1777,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f1756,f1750,f1774]) ).
fof(f1778,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_3 ),
inference(resolution,[],[f1776,f1309]) ).
fof(f1816,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f1771,f1068]) ).
fof(f1817,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f1816,f1754]) ).
fof(f1819,definition,
( spl29_4
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f1820,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f1821,plain,
( spl29_4
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f1817,f1769,f1750,f1819]) ).
fof(f2095,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_bt))
| pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(resolution,[],[f1820,f1306]) ).
fof(f2105,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_cr))
| pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(resolution,[],[f1820,f1286]) ).
fof(f2106,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_ct))
| pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(resolution,[],[f1820,f1284]) ).
fof(f2190,plain,
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2106,f1085]) ).
fof(f2191,plain,
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2105,f1084]) ).
fof(f2201,plain,
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2095,f1074]) ).
fof(f2270,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f2272,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f2273,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f1778,f1774,f2270]) ).
fof(f2275,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(resolution,[],[f2272,f1069]) ).
fof(f2276,plain,
( scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f2272,f1070]) ).
fof(f2277,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_6 ),
inference(resolution,[],[f2272,f1071]) ).
fof(f2290,definition,
( spl29_7
<=> scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f2292,plain,
( scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f2293,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f2276,f2270,f2290]) ).
fof(f2295,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f2297,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f2298,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2277,f2270,f2295]) ).
fof(f2299,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_8 ),
inference(resolution,[],[f2297,f1424]) ).
fof(f2345,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f2347,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(avatar_component_clause,[],[f2345]) ).
fof(f2348,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2299,f2295,f2345]) ).
fof(f2350,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(resolution,[],[f2347,f1069]) ).
fof(f2351,plain,
( scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| spl29_9 ),
inference(resolution,[],[f2347,f1070]) ).
fof(f2352,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_9 ),
inference(resolution,[],[f2347,f1071]) ).
fof(f2365,definition,
( spl29_10
<=> scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f2367,plain,
( scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f2365]) ).
fof(f2368,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2351,f2345,f2365]) ).
fof(f2370,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(resolution,[],[f2367,f1068]) ).
fof(f2371,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f2370,f2350]) ).
fof(f2373,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f2292,f1068]) ).
fof(f2374,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f2373,f2275]) ).
fof(f2376,definition,
( spl29_11
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f2377,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f2378,plain,
( spl29_11
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f2374,f2290,f2270,f2376]) ).
fof(f2666,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aTP_Lamm_cx))
| pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_11 ),
inference(resolution,[],[f2377,f1280]) ).
fof(f2745,plain,
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f2666,f1087]) ).
fof(f2822,definition,
( spl29_12
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f2823,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f2822]) ).
fof(f2824,plain,
( spl29_12
| spl29_9
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f2371,f2365,f2345,f2822]) ).
fof(f2826,definition,
( spl29_13
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f2828,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f2829,plain,
( spl29_13
| spl29_6 ),
inference(avatar_split_clause,[],[f2275,f2270,f2826]) ).
fof(f2927,definition,
( spl29_15
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f2929,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(avatar_component_clause,[],[f2927]) ).
fof(f2930,plain,
( ~ spl29_15
| spl29_9 ),
inference(avatar_split_clause,[],[f2352,f2345,f2927]) ).
fof(f2931,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_15 ),
inference(resolution,[],[f2929,f1467]) ).
fof(f2932,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(resolution,[],[f2929,f1468]) ).
fof(f2933,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(resolution,[],[f2929,f1469]) ).
fof(f2983,definition,
( spl29_17
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f2985,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_17 ),
inference(avatar_component_clause,[],[f2983]) ).
fof(f2986,plain,
( ~ spl29_17
| spl29_15 ),
inference(avatar_split_clause,[],[f2933,f2927,f2983]) ).
fof(f2990,plain,
( ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_17 ),
inference(resolution,[],[f2985,f1382]) ).
fof(f3131,definition,
( spl29_18
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f3133,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f3134,plain,
( spl29_18
| spl29_15 ),
inference(avatar_split_clause,[],[f2931,f2927,f3131]) ).
fof(f3137,plain,
( pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_18 ),
inference(resolution,[],[f3133,f1369]) ).
fof(f3194,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f3196,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_20 ),
inference(avatar_component_clause,[],[f3194]) ).
fof(f3198,definition,
( spl29_21
<=> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f3200,plain,
( pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f3198]) ).
fof(f3201,plain,
( ~ spl29_20
| spl29_21
| ~ spl29_18 ),
inference(avatar_split_clause,[],[f3137,f3131,f3198,f3194]) ).
fof(f3210,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_11
| spl29_20 ),
inference(resolution,[],[f3196,f2377]) ).
fof(f3249,plain,
( $false
| ~ spl29_4
| ~ spl29_11
| spl29_20 ),
inference(forward_subsumption_resolution,[],[f3210,f2190]) ).
fof(f3250,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_20 ),
inference(avatar_contradiction_clause,[],[f3249]) ).
fof(f3254,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| ~ spl29_21 ),
inference(resolution,[],[f3200,f1647]) ).
fof(f3265,definition,
( spl29_22
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f3267,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f3268,plain,
( spl29_22
| spl29_9 ),
inference(avatar_split_clause,[],[f2350,f2345,f3265]) ).
fof(f3270,definition,
( spl29_23
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).
fof(f3272,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| ~ spl29_23 ),
inference(avatar_component_clause,[],[f3270]) ).
fof(f3273,plain,
( spl29_23
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f3254,f3198,f3270]) ).
fof(f3275,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| pp(fFalse)
| ~ spl29_23 ),
inference(resolution,[],[f3272,f1585]) ).
fof(f3286,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_23 ),
inference(forward_subsumption_resolution,[],[f3275,f1584]) ).
fof(f3817,definition,
( spl29_24
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_24])],[avatar_definition]) ).
fof(f3819,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_24 ),
inference(avatar_component_clause,[],[f3817]) ).
fof(f3820,plain,
( spl29_24
| spl29_15 ),
inference(avatar_split_clause,[],[f2932,f2927,f3817]) ).
fof(f3822,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_24 ),
inference(resolution,[],[f3819,f1357]) ).
fof(f4006,definition,
( spl29_30
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_30])],[avatar_definition]) ).
fof(f4008,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_30 ),
inference(avatar_component_clause,[],[f4006]) ).
fof(f4010,definition,
( spl29_31
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_31])],[avatar_definition]) ).
fof(f4012,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_31 ),
inference(avatar_component_clause,[],[f4010]) ).
fof(f4013,plain,
( ~ spl29_30
| spl29_31
| ~ spl29_24 ),
inference(avatar_split_clause,[],[f3822,f3817,f4010,f4006]) ).
fof(f4022,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_12
| spl29_30 ),
inference(resolution,[],[f4008,f2823]) ).
fof(f4061,plain,
( $false
| ~ spl29_11
| ~ spl29_12
| spl29_30 ),
inference(forward_subsumption_resolution,[],[f4022,f2745]) ).
fof(f4062,plain,
( ~ spl29_11
| ~ spl29_12
| spl29_30 ),
inference(avatar_contradiction_clause,[],[f4061]) ).
fof(f4067,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) )
| ~ spl29_31 ),
inference(resolution,[],[f4012,f1458]) ).
fof(f4251,definition,
( spl29_35
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_35])],[avatar_definition]) ).
fof(f4253,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_35 ),
inference(avatar_component_clause,[],[f4251]) ).
fof(f4254,plain,
( ~ spl29_35
| ~ spl29_23 ),
inference(avatar_split_clause,[],[f3286,f3270,f4251]) ).
fof(f4272,definition,
( spl29_37
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_37])],[avatar_definition]) ).
fof(f4274,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_37 ),
inference(avatar_component_clause,[],[f4272]) ).
fof(f4276,definition,
( spl29_38
<=> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_38])],[avatar_definition]) ).
fof(f4278,plain,
( ~ pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_38 ),
inference(avatar_component_clause,[],[f4276]) ).
fof(f4279,plain,
( ~ spl29_37
| ~ spl29_38
| spl29_17 ),
inference(avatar_split_clause,[],[f2990,f2983,f4276,f4272]) ).
fof(f4288,plain,
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_12
| spl29_37 ),
inference(resolution,[],[f4274,f2823]) ).
fof(f4327,plain,
( $false
| ~ spl29_4
| ~ spl29_12
| spl29_37 ),
inference(forward_subsumption_resolution,[],[f4288,f2191]) ).
fof(f4328,plain,
( ~ spl29_4
| ~ spl29_12
| spl29_37 ),
inference(avatar_contradiction_clause,[],[f4327]) ).
fof(f4332,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),fFalse))
| spl29_38 ),
inference(resolution,[],[f4278,f1646]) ).
fof(f4345,definition,
( spl29_39
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_39])],[avatar_definition]) ).
fof(f4347,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),fFalse))
| spl29_39 ),
inference(avatar_component_clause,[],[f4345]) ).
fof(f4348,plain,
( ~ spl29_39
| spl29_38 ),
inference(avatar_split_clause,[],[f4332,f4276,f4345]) ).
fof(f4574,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_39 ),
inference(resolution,[],[f4347,f1587]) ).
fof(f5737,definition,
( spl29_98
<=> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_98])],[avatar_definition]) ).
fof(f5739,plain,
( pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_98 ),
inference(avatar_component_clause,[],[f5737]) ).
fof(f5740,plain,
( spl29_98
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2201,f1819,f5737]) ).
fof(f5742,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ scratc355035249_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) )
| ~ spl29_98 ),
inference(resolution,[],[f5739,f1068]) ).
fof(f10756,definition,
( spl29_261
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ scratc355035249_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_261])],[avatar_definition]) ).
fof(f10757,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ scratc355035249_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) )
| ~ spl29_261 ),
inference(avatar_component_clause,[],[f10756]) ).
fof(f10758,plain,
( spl29_261
| ~ spl29_98 ),
inference(avatar_split_clause,[],[f5742,f5737,f10756]) ).
fof(f21321,definition,
( spl29_497
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_497])],[avatar_definition]) ).
fof(f21322,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) )
| ~ spl29_497 ),
inference(avatar_component_clause,[],[f21321]) ).
fof(f21323,plain,
( spl29_497
| ~ spl29_31 ),
inference(avatar_split_clause,[],[f4067,f4010,f21321]) ).
fof(f23435,definition,
( spl29_568
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_568])],[avatar_definition]) ).
fof(f23437,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_568 ),
inference(avatar_component_clause,[],[f23435]) ).
fof(f23438,plain,
( spl29_568
| spl29_39 ),
inference(avatar_split_clause,[],[f4574,f4345,f23435]) ).
fof(f23662,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X1)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) )
| ~ spl29_497 ),
inference(resolution,[],[f21322,f1068]) ).
fof(f23699,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) )
| ~ spl29_13
| ~ spl29_497 ),
inference(forward_subsumption_resolution,[],[f23662,f2828]) ).
fof(f23702,definition,
( spl29_575
<=> ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_575])],[avatar_definition]) ).
fof(f23703,plain,
( ! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1010594984all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X1)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
| ~ spl29_575 ),
inference(avatar_component_clause,[],[f23702]) ).
fof(f23704,plain,
( spl29_575
| ~ spl29_13
| ~ spl29_497 ),
inference(avatar_split_clause,[],[f23699,f21321,f2826,f23702]) ).
fof(f23705,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
| ~ spl29_575 ),
inference(resolution,[],[f23703,f1421]) ).
fof(f23723,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
| ~ spl29_7
| ~ spl29_575 ),
inference(forward_subsumption_resolution,[],[f23705,f2292]) ).
fof(f23725,definition,
( spl29_576
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_576])],[avatar_definition]) ).
fof(f23726,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) )
| ~ spl29_576 ),
inference(avatar_component_clause,[],[f23725]) ).
fof(f23727,plain,
( spl29_576
| ~ spl29_7
| ~ spl29_575 ),
inference(avatar_split_clause,[],[f23723,f23702,f2290,f23725]) ).
fof(f23729,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_261
| ~ spl29_576 ),
inference(resolution,[],[f23726,f10757]) ).
fof(f23777,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_261
| ~ spl29_568
| ~ spl29_576 ),
inference(forward_subsumption_resolution,[],[f23729,f23437]) ).
fof(f23778,plain,
( ~ scratc355035249_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_35
| ~ spl29_261
| ~ spl29_568
| ~ spl29_576 ),
inference(forward_subsumption_resolution,[],[f23777,f4253]) ).
fof(f23779,plain,
( ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_10
| spl29_35
| ~ spl29_261
| ~ spl29_568
| ~ spl29_576 ),
inference(forward_subsumption_resolution,[],[f23778,f2367]) ).
fof(f23780,plain,
( $false
| ~ spl29_10
| ~ spl29_22
| spl29_35
| ~ spl29_261
| ~ spl29_568
| ~ spl29_576 ),
inference(forward_subsumption_resolution,[],[f23779,f3267]) ).
fof(f23781,plain,
( ~ spl29_10
| ~ spl29_22
| spl29_35
| ~ spl29_261
| ~ spl29_568
| ~ spl29_576 ),
inference(avatar_contradiction_clause,[],[f23780]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f1753]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s4,plain,
( spl29_1
| ~ spl29_2
| spl29_4 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f2273]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2298]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2348]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s11,plain,
( spl29_6
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f2378]) ).
cnf(s12,plain,
( spl29_9
| ~ spl29_10
| spl29_12 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s13,plain,
( spl29_6
| spl29_13 ),
inference(sat_conversion,[],[f2829]) ).
cnf(s15,plain,
( spl29_9
| ~ spl29_15 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s17,plain,
( spl29_15
| ~ spl29_17 ),
inference(sat_conversion,[],[f2986]) ).
cnf(s18,plain,
( spl29_15
| spl29_18 ),
inference(sat_conversion,[],[f3134]) ).
cnf(s20,plain,
( ~ spl29_18
| ~ spl29_20
| spl29_21 ),
inference(sat_conversion,[],[f3201]) ).
cnf(s21,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_20 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s22,plain,
( spl29_9
| spl29_22 ),
inference(sat_conversion,[],[f3268]) ).
cnf(s23,plain,
( ~ spl29_21
| spl29_23 ),
inference(sat_conversion,[],[f3273]) ).
cnf(s24,plain,
( spl29_15
| spl29_24 ),
inference(sat_conversion,[],[f3820]) ).
cnf(s30,plain,
( ~ spl29_24
| ~ spl29_30
| spl29_31 ),
inference(sat_conversion,[],[f4013]) ).
cnf(s31,plain,
( ~ spl29_11
| ~ spl29_12
| spl29_30 ),
inference(sat_conversion,[],[f4062]) ).
cnf(s35,plain,
( ~ spl29_23
| ~ spl29_35 ),
inference(sat_conversion,[],[f4254]) ).
cnf(s37,plain,
( spl29_17
| ~ spl29_37
| ~ spl29_38 ),
inference(sat_conversion,[],[f4279]) ).
cnf(s38,plain,
( ~ spl29_4
| ~ spl29_12
| spl29_37 ),
inference(sat_conversion,[],[f4328]) ).
cnf(s39,plain,
( spl29_38
| ~ spl29_39 ),
inference(sat_conversion,[],[f4348]) ).
cnf(s97,plain,
( ~ spl29_4
| spl29_98 ),
inference(sat_conversion,[],[f5740]) ).
cnf(s263,plain,
( ~ spl29_98
| spl29_261 ),
inference(sat_conversion,[],[f10758]) ).
cnf(s570,plain,
( ~ spl29_31
| spl29_497 ),
inference(sat_conversion,[],[f21323]) ).
cnf(s640,plain,
( spl29_39
| spl29_568 ),
inference(sat_conversion,[],[f23438]) ).
cnf(s647,plain,
( ~ spl29_13
| ~ spl29_497
| spl29_575 ),
inference(sat_conversion,[],[f23704]) ).
cnf(s648,plain,
( ~ spl29_7
| ~ spl29_575
| spl29_576 ),
inference(sat_conversion,[],[f23727]) ).
cnf(s649,plain,
( ~ spl29_10
| ~ spl29_22
| spl29_35
| ~ spl29_261
| ~ spl29_568
| ~ spl29_576 ),
inference(sat_conversion,[],[f23781]) ).
cnf(s652,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s653,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s665,plain,
~ spl29_6,
inference(rat,[],[s6,s652]) ).
cnf(s666,plain,
spl29_4,
inference(rat,[],[s4,s1,s653]) ).
cnf(s674,plain,
spl29_13,
inference(rat,[],[s13,s665]) ).
cnf(s675,plain,
~ spl29_8,
inference(rat,[],[s8,s665]) ).
cnf(s676,plain,
spl29_7,
inference(rat,[],[s7,s665]) ).
cnf(s684,plain,
spl29_98,
inference(rat,[],[s97,s666]) ).
cnf(s727,plain,
~ spl29_9,
inference(rat,[],[s9,s675]) ).
cnf(s728,plain,
spl29_11,
inference(rat,[],[s11,s665,s676]) ).
cnf(s739,plain,
spl29_261,
inference(rat,[],[s263,s684]) ).
cnf(s811,plain,
spl29_22,
inference(rat,[],[s22,s727]) ).
cnf(s812,plain,
~ spl29_15,
inference(rat,[],[s15,s727]) ).
cnf(s813,plain,
spl29_10,
inference(rat,[],[s10,s727]) ).
cnf(s857,plain,
spl29_20,
inference(rat,[],[s21,s666,s728]) ).
cnf(s879,plain,
spl29_24,
inference(rat,[],[s24,s812]) ).
cnf(s880,plain,
spl29_18,
inference(rat,[],[s18,s812]) ).
cnf(s881,plain,
~ spl29_17,
inference(rat,[],[s17,s812]) ).
cnf(s884,plain,
spl29_12,
inference(rat,[],[s12,s727,s813]) ).
cnf(s947,plain,
spl29_21,
inference(rat,[],[s20,s857,s880]) ).
cnf(s999,plain,
spl29_37,
inference(rat,[],[s38,s666,s884]) ).
cnf(s1001,plain,
spl29_30,
inference(rat,[],[s31,s728,s884]) ).
cnf(s1019,plain,
spl29_23,
inference(rat,[],[s23,s947]) ).
cnf(s1066,plain,
~ spl29_38,
inference(rat,[],[s37,s881,s999]) ).
cnf(s1068,plain,
spl29_31,
inference(rat,[],[s30,s879,s1001]) ).
cnf(s1079,plain,
~ spl29_35,
inference(rat,[],[s35,s1019]) ).
cnf(s1090,plain,
~ spl29_39,
inference(rat,[],[s39,s1066]) ).
cnf(s1096,plain,
spl29_497,
inference(rat,[],[s570,s1068]) ).
cnf(s1117,plain,
spl29_568,
inference(rat,[],[s640,s1090]) ).
cnf(s1122,plain,
spl29_575,
inference(rat,[],[s647,s674,s1096]) ).
cnf(s1142,plain,
~ spl29_576,
inference(rat,[],[s649,s1079,s813,s739,s811,s1117]) ).
cnf(s1144,plain,
$false,
inference(rat,[],[s648,s676,s1142,s1122]) ).
fof(f23782,plain,
$false,
inference(avatar_sat_refutation,[],[s1144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM667+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:06:18 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.18/2.34 % (2986802)Detected formulas, will run a generic FOF schedule.
% 11.18/2.34 % (2986835)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1109769159:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.18/2.34 % (2986830)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=1880576961:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.18/2.34 % (2986834)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=402023515:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.18/2.34 % (2986833)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2714758685:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.18/2.34 % (2986836)dis-21_1_sil=8000:lcm=predicate:random_seed=2761761695: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)
% 11.18/2.34 % (2986832)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=511846284:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.18/2.34 % (2986831)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=3517314746:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.18/2.34 % (2986833)Refutation not found, incomplete strategy
% 11.18/2.34 % (2986833)------------------------------
% 11.18/2.34 % (2986833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.34 % (2986833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.34 % (2986833)CaDiCaL version: 2.1.3
% 11.18/2.34 % (2986833)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.34 % (2986833)Time elapsed: 0.002 s
% 11.18/2.34 % (2986833)Peak memory usage: 87 MB
% 11.18/2.34 % (2986833)Instructions burned: 2 (million)
% 11.18/2.34 % (2986834)Refutation not found, incomplete strategy
% 11.18/2.34 % (2986834)------------------------------
% 11.18/2.34 % (2986834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.34 % (2986834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.34 % (2986834)CaDiCaL version: 2.1.3
% 11.18/2.34 % (2986834)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.34 % (2986834)Time elapsed: 0.002 s
% 11.18/2.34 % (2986834)Peak memory usage: 88 MB
% 11.18/2.34 % (2986834)Instructions burned: 2 (million)
% 11.18/2.34 % (2986835)Instruction limit reached!
% 11.18/2.34 % (2986835)------------------------------
% 11.18/2.34 % (2986835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.34 % (2986835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.34 % (2986835)CaDiCaL version: 2.1.3
% 11.18/2.34 % (2986835)Termination reason: Instruction limit
% 11.18/2.34 % (2986835)Termination phase: Saturation
% 11.18/2.34 % (2986835)Time elapsed: 0.047 s
% 11.18/2.34 % (2986835)Peak memory usage: 90 MB
% 11.18/2.34 % (2986835)Instructions burned: 141 (million)
% 11.18/2.34 % (2986836)Instruction limit reached!
% 11.18/2.34 % (2986836)------------------------------
% 11.18/2.34 % (2986836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.34 % (2986836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.34 % (2986836)CaDiCaL version: 2.1.3
% 11.18/2.34 % (2986836)Termination reason: Instruction limit
% 11.18/2.34 % (2986836)Termination phase: Saturation
% 11.18/2.34 % (2986836)Time elapsed: 0.076 s
% 11.18/2.34 % (2986836)Peak memory usage: 90 MB
% 11.18/2.34 % (2986836)Instructions burned: 129 (million)
% 11.18/2.34 % (2986844)lrs+10_1_sil=8000:sp=occurrence:random_seed=1034858436:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.18/2.34 % (2986844)Refutation not found, incomplete strategy
% 11.18/2.34 % (2986844)------------------------------
% 11.18/2.34 % (2986844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.34 % (2986844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.34 % (2986844)CaDiCaL version: 2.1.3
% 11.18/2.34 % (2986844)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.34 % (2986844)Time elapsed: 0.002 s
% 11.18/2.34 % (2986844)Peak memory usage: 88 MB
% 11.18/2.34 % (2986844)Instructions burned: 2 (million)
% 11.18/2.34 % (2986845)lrs+10_1_sil=32000:urr=on:br=off:random_seed=641461376:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.12/3.30 % (2986834)------------------------------
% 18.12/3.30 % (2986834)------------------------------
% 18.12/3.30 % (2986845)Refutation not found, incomplete strategy
% 18.12/3.30 % (2986845)------------------------------
% 18.12/3.30 % (2986845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.30 % (2986845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.30 % (2986845)CaDiCaL version: 2.1.3
% 18.12/3.30 % (2986845)Termination reason: Refutation not found, incomplete strategy
% 18.12/3.30 % (2986845)Time elapsed: 0.004 s
% 18.12/3.30 % (2986845)Peak memory usage: 88 MB
% 18.12/3.30 % (2986845)Instructions burned: 7 (million)
% 18.12/3.30 % (2986833)------------------------------
% 18.12/3.30 % (2986833)------------------------------
% 18.12/3.30 % (2986844)------------------------------
% 18.12/3.30 % (2986844)------------------------------
% 18.12/3.30 % (2986849)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=4025147984:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.12/3.30 % (2986848)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3818862471:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.12/3.30 % (2986848)Refutation not found, incomplete strategy
% 18.12/3.30 % (2986848)------------------------------
% 18.12/3.30 % (2986848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.30 % (2986848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.30 % (2986848)CaDiCaL version: 2.1.3
% 18.12/3.30 % (2986848)Termination reason: Refutation not found, incomplete strategy
% 18.12/3.30 % (2986848)Time elapsed: 0.005 s
% 18.12/3.30 % (2986848)Peak memory usage: 89 MB
% 18.12/3.30 % (2986848)Instructions burned: 5 (million)
% 18.12/3.30 % (2986845)------------------------------
% 18.12/3.30 % (2986845)------------------------------
% 18.12/3.30 % (2986850)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=914008384:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.12/3.30 % (2986850)Refutation not found, incomplete strategy
% 18.12/3.30 % (2986850)------------------------------
% 18.12/3.30 % (2986850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.30 % (2986850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.30 % (2986850)CaDiCaL version: 2.1.3
% 18.12/3.30 % (2986850)Termination reason: Refutation not found, incomplete strategy
% 18.12/3.30 % (2986850)Time elapsed: 0.003 s
% 18.12/3.30 % (2986850)Peak memory usage: 88 MB
% 18.12/3.30 % (2986850)Instructions burned: 6 (million)
% 18.12/3.30 % (2986849)Instruction limit reached!
% 18.12/3.30 % (2986849)------------------------------
% 18.12/3.30 % (2986849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.30 % (2986849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.30 % (2986849)CaDiCaL version: 2.1.3
% 18.12/3.30 % (2986849)Termination reason: Instruction limit
% 18.12/3.30 % (2986849)Termination phase: Saturation
% 18.12/3.30 % (2986849)Time elapsed: 0.134 s
% 18.12/3.30 % (2986849)Peak memory usage: 93 MB
% 18.12/3.30 % (2986849)Instructions burned: 249 (million)
% 18.12/3.30 % (2986850)------------------------------
% 18.12/3.30 % (2986850)------------------------------
% 18.12/3.30 % (2986854)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=751655770:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.12/3.30 % (2986848)------------------------------
% 18.12/3.30 % (2986848)------------------------------
% 18.12/3.30 % (2986855)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2154783693:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.12/3.30 % (2986856)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1976838323:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 18.12/3.30 % (2986855)Instruction limit reached!
% 18.12/3.30 % (2986855)------------------------------
% 18.12/3.30 % (2986855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.30 % (2986855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.30 % (2986855)CaDiCaL version: 2.1.3
% 18.12/3.30 % (2986855)Termination reason: Instruction limit
% 18.12/3.30 % (2986855)Termination phase: Saturation
% 18.12/3.30 % (2986855)Time elapsed: 0.066 s
% 35.57/5.84 % (2986855)Peak memory usage: 90 MB
% 35.57/5.84 % (2986855)Instructions burned: 113 (million)
% 35.57/5.84 % (2986856)Instruction limit reached!
% 35.57/5.84 % (2986856)------------------------------
% 35.57/5.84 % (2986856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.57/5.84 % (2986856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.84 % (2986856)CaDiCaL version: 2.1.3
% 35.57/5.84 % (2986856)Termination reason: Instruction limit
% 35.57/5.84 % (2986856)Termination phase: Saturation
% 35.57/5.84 % (2986856)Time elapsed: 0.033 s
% 35.57/5.84 % (2986856)Peak memory usage: 89 MB
% 35.57/5.84 % (2986856)Instructions burned: 130 (million)
% 35.57/5.84 % (2986858)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3884392715:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 35.57/5.84 % (2986858)Instruction limit reached!
% 35.57/5.84 % (2986858)------------------------------
% 35.57/5.84 % (2986858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.57/5.84 % (2986858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.84 % (2986858)CaDiCaL version: 2.1.3
% 35.57/5.84 % (2986858)Termination reason: Instruction limit
% 35.57/5.84 % (2986858)Termination phase: Saturation
% 35.57/5.84 % (2986858)Time elapsed: 0.065 s
% 35.57/5.84 % (2986858)Peak memory usage: 89 MB
% 35.57/5.84 % (2986858)Instructions burned: 116 (million)
% 35.57/5.84 % (2986862)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4080276648:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 35.57/5.84 % (2986861)lrs+10_1_sil=8000:sp=occurrence:random_seed=305529229:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 35.57/5.84 % (2986862)Refutation not found, incomplete strategy
% 35.57/5.84 % (2986862)------------------------------
% 35.57/5.84 % (2986862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.57/5.84 % (2986862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.84 % (2986862)CaDiCaL version: 2.1.3
% 35.57/5.84 % (2986862)Termination reason: Refutation not found, incomplete strategy
% 35.57/5.84 % (2986862)Time elapsed: 0.017 s
% 35.57/5.84 % (2986862)Peak memory usage: 90 MB
% 35.57/5.84 % (2986862)Instructions burned: 59 (million)
% 35.57/5.84 % (2986864)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=777669450:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 35.57/5.84 % (2986862)------------------------------
% 35.57/5.84 % (2986862)------------------------------
% 35.57/5.84 % (2986868)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1093188735:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 35.57/5.84 % (2986868)Instruction limit reached!
% 35.57/5.84 % (2986868)------------------------------
% 35.57/5.84 % (2986868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.57/5.84 % (2986868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.84 % (2986868)CaDiCaL version: 2.1.3
% 35.57/5.84 % (2986868)Termination reason: Instruction limit
% 35.57/5.84 % (2986868)Termination phase: Saturation
% 35.57/5.84 % (2986868)Time elapsed: 0.038 s
% 35.57/5.84 % (2986868)Peak memory usage: 92 MB
% 35.57/5.84 % (2986868)Instructions burned: 134 (million)
% 35.57/5.84 % (2986870)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1129700498:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 35.57/5.84 % (2986870)Refutation not found, incomplete strategy
% 35.57/5.84 % (2986870)------------------------------
% 35.57/5.84 % (2986870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.57/5.84 % (2986870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.84 % (2986870)CaDiCaL version: 2.1.3
% 35.57/5.84 % (2986870)Termination reason: Refutation not found, incomplete strategy
% 35.57/5.84 % (2986870)Time elapsed: 0.009 s
% 35.57/5.84 % (2986870)Peak memory usage: 89 MB
% 35.57/5.84 % (2986870)Instructions burned: 32 (million)
% 35.57/5.84 % (2986861)Instruction limit reached!
% 35.57/5.84 % (2986861)------------------------------
% 35.57/5.84 % (2986861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.57/5.84 % (2986861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.84 % (2986861)CaDiCaL version: 2.1.3
% 35.57/5.84 % (2986861)Termination reason: Instruction limit
% 34.64/6.44 % (2986861)Termination phase: Saturation
% 34.64/6.44 % (2986861)Time elapsed: 0.533 s
% 34.64/6.44 % (2986861)Peak memory usage: 99 MB
% 34.64/6.44 % (2986861)Instructions burned: 907 (million)
% 34.64/6.44 % (2986870)------------------------------
% 34.64/6.44 % (2986870)------------------------------
% 34.64/6.44 % (2986872)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3263968299:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 34.64/6.44 % (2986873)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=2723083736:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 34.64/6.44 % (2986873)Refutation not found, incomplete strategy
% 34.64/6.44 % (2986873)------------------------------
% 34.64/6.44 % (2986873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986873)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986873)Termination reason: Refutation not found, incomplete strategy
% 34.64/6.44 % (2986873)Time elapsed: 0.003 s
% 34.64/6.44 % (2986873)Peak memory usage: 88 MB
% 34.64/6.44 % (2986873)Instructions burned: 9 (million)
% 34.64/6.44 % (2986873)------------------------------
% 34.64/6.44 % (2986873)------------------------------
% 34.64/6.44 % (2986876)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=67356681:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 34.64/6.44 % (2986876)Instruction limit reached!
% 34.64/6.44 % (2986876)------------------------------
% 34.64/6.44 % (2986876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986876)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986876)Termination reason: Instruction limit
% 34.64/6.44 % (2986876)Termination phase: Saturation
% 34.64/6.44 % (2986876)Time elapsed: 0.039 s
% 34.64/6.44 % (2986876)Peak memory usage: 92 MB
% 34.64/6.44 % (2986876)Instructions burned: 138 (million)
% 34.64/6.44 % (2986878)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2237101723:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 34.64/6.44 % (2986878)Refutation not found, incomplete strategy
% 34.64/6.44 % (2986878)------------------------------
% 34.64/6.44 % (2986878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986878)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986878)Termination reason: Refutation not found, incomplete strategy
% 34.64/6.44 % (2986878)Time elapsed: 0.001 s
% 34.64/6.44 % (2986878)Peak memory usage: 88 MB
% 34.64/6.44 % (2986878)Instructions burned: 2 (million)
% 34.64/6.44 % (2986854)Instruction limit reached!
% 34.64/6.44 % (2986854)------------------------------
% 34.64/6.44 % (2986854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986854)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986854)Termination reason: Instruction limit
% 34.64/6.44 % (2986854)Termination phase: Saturation
% 34.64/6.44 % (2986854)Time elapsed: 1.553 s
% 34.64/6.44 % (2986854)Peak memory usage: 141 MB
% 34.64/6.44 % (2986854)Instructions burned: 2350 (million)
% 34.64/6.44 % (2986878)------------------------------
% 34.64/6.44 % (2986878)------------------------------
% 34.64/6.44 % (2986880)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1586876887:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 34.64/6.44 % (2986880)Refutation not found, incomplete strategy
% 34.64/6.44 % (2986880)------------------------------
% 34.64/6.44 % (2986880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986880)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986880)Termination reason: Refutation not found, incomplete strategy
% 34.64/6.44 % (2986880)Time elapsed: 0.003 s
% 34.64/6.44 % (2986880)Peak memory usage: 89 MB
% 34.64/6.44 % (2986880)Instructions burned: 2 (million)
% 34.64/6.44 % (2986881)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=4087673650:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 34.64/6.44 % (2986880)------------------------------
% 34.64/6.44 % (2986880)------------------------------
% 34.64/6.44 % (2986884)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=3230697829:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 34.64/6.44 % (2986884)Instruction limit reached!
% 34.64/6.44 % (2986884)------------------------------
% 34.64/6.44 % (2986884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986884)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986884)Termination reason: Instruction limit
% 34.64/6.44 % (2986884)Termination phase: Saturation
% 34.64/6.44 % (2986884)Time elapsed: 0.078 s
% 34.64/6.44 % (2986884)Peak memory usage: 91 MB
% 34.64/6.44 % (2986884)Instructions burned: 151 (million)
% 34.64/6.44 % (2986886)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4254075442:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 34.64/6.44 % (2986864)Instruction limit reached!
% 34.64/6.44 % (2986864)------------------------------
% 34.64/6.44 % (2986864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986864)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986864)Termination reason: Instruction limit
% 34.64/6.44 % (2986864)Termination phase: Saturation
% 34.64/6.44 % (2986864)Time elapsed: 3.361 s
% 34.64/6.44 % (2986864)Peak memory usage: 161 MB
% 34.64/6.44 % (2986864)Instructions burned: 5202 (million)
% 34.64/6.44 % (2986881)Instruction limit reached!
% 34.64/6.44 % (2986881)------------------------------
% 34.64/6.44 % (2986881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986881)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986881)Termination reason: Instruction limit
% 34.64/6.44 % (2986881)Termination phase: Saturation
% 34.64/6.44 % (2986881)Time elapsed: 2.172 s
% 34.64/6.44 % (2986881)Peak memory usage: 200 MB
% 34.64/6.44 % (2986881)Instructions burned: 6062 (million)
% 34.64/6.44 % (2986888)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2767895261:i=667:av=off:fsr=off_2954 on theBenchmark for (2954ds/667Mi)
% 34.64/6.44 % (2986889)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1579009961:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 34.64/6.44 % (2986889)Instruction limit reached!
% 34.64/6.44 % (2986889)------------------------------
% 34.64/6.44 % (2986889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986889)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986889)Termination reason: Instruction limit
% 34.64/6.44 % (2986889)Termination phase: Saturation
% 34.64/6.44 % (2986889)Time elapsed: 0.047 s
% 34.64/6.44 % (2986889)Peak memory usage: 91 MB
% 34.64/6.44 % (2986889)Instructions burned: 192 (million)
% 34.64/6.44 % (2986892)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3227361099:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 34.64/6.44 % (2986892)Refutation not found, incomplete strategy
% 34.64/6.44 % (2986892)------------------------------
% 34.64/6.44 % (2986892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986892)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986892)Termination reason: Refutation not found, incomplete strategy
% 34.64/6.44 % (2986892)Time elapsed: 0.002 s
% 34.64/6.44 % (2986892)Peak memory usage: 89 MB
% 34.64/6.44 % (2986892)Instructions burned: 4 (million)
% 34.64/6.44 % (2986888)Instruction limit reached!
% 34.64/6.44 % (2986888)------------------------------
% 34.64/6.44 % (2986888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.64/6.44 % (2986888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.64/6.44 % (2986888)CaDiCaL version: 2.1.3
% 34.64/6.44 % (2986888)Termination reason: Instruction limit
% 34.64/6.44 % (2986888)Termination phase: Saturation
% 34.64/6.44 % (2986888)Time elapsed: 0.333 s
% 34.64/6.44 % (2986888)Peak memory usage: 100 MB
% 34.64/6.44 % (2986888)Instructions burned: 668 (million)
% 34.64/6.44 % (2986892)------------------------------
% 34.64/6.44 % (2986892)------------------------------
% 34.64/6.44 % (2986894)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1470064183:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 34.64/6.44 % (2986895)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1144474409:i=12111:sd=1:ss=included_2947 on theBenchmark for (2947ds/12111Mi)
% 34.64/6.44 % (2986832)First to succeed.
% 34.64/6.44 % (2986832)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2986802"
% 34.64/6.44 % (2986832)Refutation found. Thanks to Tanya!
% 34.64/6.44 % SZS status Theorem for theBenchmark
% 34.64/6.44 % SZS output start Proof for theBenchmark
% See solution above
% 40.79/6.63 % (2986832)------------------------------
% 40.79/6.63 % (2986832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.79/6.63 % (2986832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.79/6.63 % (2986832)CaDiCaL version: 2.1.3
% 40.79/6.63 % (2986832)Termination reason: Refutation
% 40.79/6.63 % (2986832)Time elapsed: 5.247 s
% 40.79/6.63 % (2986832)Peak memory usage: 199 MB
% 40.79/6.63 % (2986832)Instructions burned: 8434 (million)
% 40.79/6.63 % (2986832)------------------------------
% 40.79/6.63 % (2986832)------------------------------
% 40.79/6.63 % (2986802)Success in time 5.707 s
% 40.79/6.63 % Vampire exiting
%------------------------------------------------------------------------------