%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM692+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 : n014.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 12:16:31 PM UTC 2026
% Result : Theorem 64.77s 19.73s
% Output : Refutation 133.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 28
% Syntax : Number of formulae : 169 ( 53 unt; 2 def)
% Number of atoms : 403 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 417 ( 183 ~; 167 |; 36 &)
% ( 23 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 17 con; 0-2 aty)
% Number of variables : 207 ( 0 sgn 205 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
<=> pp(aa_bool_bool(scratc1489772233d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessis) ).
fof(f35,axiom,
! [X0] : scratc1621482756d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f53,axiom,
scratc1621023570d_n_is = scratc2102363209d_e_is(scratc1440335259nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc2102363209d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f110,axiom,
! [X0] : scratc1489772233d_l_or(X0) = aa_boo1142376798l_bool(scratc1399814918nd_imp,scratc1193310645_d_not(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f115,axiom,
! [X0] :
( pp(scratc1193310645_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1399814918nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1399814918nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2098389863_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f151,axiom,
pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_cd)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz22c) ).
fof(f163,axiom,
pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_dr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz19n) ).
fof(f354,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_dr,X0))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__66) ).
fof(f366,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__78) ).
fof(f369,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__81) ).
fof(f435,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__147) ).
fof(f447,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__159) ).
fof(f450,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__162) ).
fof(f479,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__191) ).
fof(f512,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__224) ).
fof(f515,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__227) ).
fof(f533,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__245) ).
fof(f534,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__246) ).
fof(f560,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f561,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(f563,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(f566,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f570,conjecture,
pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f571,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f570]) ).
fof(f572,plain,
~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f571]) ).
fof(f589,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2098389863_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f590,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2098389863_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f589]) ).
fof(f684,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f479]) ).
fof(f714,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f533]) ).
fof(f715,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) ),
inference(flattening,[],[f714]) ).
fof(f716,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f534]) ).
fof(f717,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) ),
inference(flattening,[],[f716]) ).
fof(f740,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f566]) ).
fof(f741,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f740]) ).
fof(f742,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc1489772233d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc1489772233d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f786,plain,
! [X0] :
( ( pp(scratc1193310645_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1399814918nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1399814918nd_imp,X0),fFalse))
| ~ pp(scratc1193310645_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f809,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2098389863_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2098389863_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f590]) ).
fof(f810,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2098389863_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2098389863_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1)) ) ),
inference(rectify,[],[f809]) ).
fof(f811,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc2098389863_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2098389863_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f810]) ).
fof(f896,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dr,X0))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dr,X0)) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f908,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0)) ) ),
inference(nnf_transformation,[],[f366]) ).
fof(f911,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f369]) ).
fof(f992,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,X0),X1)) ) ),
inference(nnf_transformation,[],[f435]) ).
fof(f1004,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1)) ) ),
inference(nnf_transformation,[],[f447]) ).
fof(f1007,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1)) ) ),
inference(nnf_transformation,[],[f450]) ).
fof(f1049,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f684]) ).
fof(f1050,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2)) ) ),
inference(flattening,[],[f1049]) ).
fof(f1095,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f512]) ).
fof(f1098,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f515]) ).
fof(f1123,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f715]) ).
fof(f1124,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1123]) ).
fof(f1125,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f717]) ).
fof(f1126,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1125]) ).
fof(f1178,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc1489772233d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ),
inference(cnf_transformation,[],[f742]) ).
fof(f1179,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc1489772233d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f742]) ).
fof(f1198,plain,
! [X0] : scratc1621482756d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1224,plain,
scratc1621023570d_n_is = scratc2102363209d_e_is(scratc1440335259nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1288,plain,
! [X0] : scratc2102363209d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1302,plain,
! [X0] : aa_boo1142376798l_bool(scratc1399814918nd_imp,scratc1193310645_d_not(X0)) = scratc1489772233d_l_or(X0),
inference(cnf_transformation,[],[f110]) ).
fof(f1308,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1399814918nd_imp,X0),fFalse))
| ~ pp(scratc1193310645_d_not(X0)) ),
inference(cnf_transformation,[],[f786]) ).
fof(f1309,plain,
! [X0] :
( pp(scratc1193310645_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1399814918nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f786]) ).
fof(f1310,plain,
scratc1399814918nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1372,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2098389863_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1)) ),
inference(cnf_transformation,[],[f811]) ).
fof(f1373,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f811]) ).
fof(f1374,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
| scratc2098389863_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f811]) ).
fof(f1375,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f811]) ).
fof(f1380,plain,
pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_cd)),
inference(cnf_transformation,[],[f151]) ).
fof(f1392,plain,
pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_dr)),
inference(cnf_transformation,[],[f163]) ).
fof(f1678,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dr,X0)) ),
inference(cnf_transformation,[],[f896]) ).
fof(f1702,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0)) ),
inference(cnf_transformation,[],[f908]) ).
fof(f1709,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f911]) ).
fof(f1853,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,X0),X1)) ),
inference(cnf_transformation,[],[f992]) ).
fof(f1877,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1)) ),
inference(cnf_transformation,[],[f1004]) ).
fof(f1884,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f1007]) ).
fof(f1956,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1050]) ).
fof(f2039,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1095]) ).
fof(f2046,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f1098]) ).
fof(f2096,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ),
inference(cnf_transformation,[],[f1124]) ).
fof(f2097,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X2),X3)) ),
inference(cnf_transformation,[],[f1124]) ).
fof(f2098,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3))) ),
inference(cnf_transformation,[],[f1124]) ).
fof(f2099,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1621482756d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f1126]) ).
fof(f2164,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f560]) ).
fof(f2165,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f561]) ).
fof(f2167,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f563]) ).
fof(f2170,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f741]) ).
fof(f2174,plain,
~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f572]) ).
fof(f2177,plain,
! [X0] : scratc1489772233d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1193310645_d_not(X0)),
inference(definition_unfolding,[],[f1302,f1310]) ).
fof(f2180,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),X1))) ),
inference(definition_unfolding,[],[f1179,f2177]) ).
fof(f2181,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1)) ),
inference(definition_unfolding,[],[f1178,f2177]) ).
fof(f2199,plain,
scratc1621023570d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1224,f1288]) ).
fof(f2226,plain,
! [X0] :
( pp(scratc1193310645_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f1309,f1310]) ).
fof(f2227,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1193310645_d_not(X0)) ),
inference(definition_unfolding,[],[f1308,f1310]) ).
fof(f2298,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X1)),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1956,f1198,f1198]) ).
fof(f2343,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X1)),X3))) ),
inference(definition_unfolding,[],[f2098,f1198,f1198]) ).
fof(f2346,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,X1)),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X0),X1),X2),X3)) ),
inference(definition_unfolding,[],[f2099,f1198,f1198]) ).
fof(f2381,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)),
inference(resolution,[],[f2174,f1373]) ).
fof(f2382,plain,
scratc2098389863_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a),
inference(resolution,[],[f2174,f1374]) ).
fof(f2383,plain,
~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))),
inference(resolution,[],[f2174,f1375]) ).
fof(f2396,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f2382,f1372]) ).
fof(f2397,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f2396,f2381]) ).
fof(f2398,plain,
~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f2383,f1709]) ).
fof(f2476,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f2398,f1373]) ).
fof(f2477,plain,
scratc2098389863_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a),
inference(resolution,[],[f2398,f1374]) ).
fof(f2478,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),
inference(resolution,[],[f2398,f1375]) ).
fof(f2490,plain,
~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(resolution,[],[f2478,f1884]) ).
fof(f2576,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(resolution,[],[f2490,f1373]) ).
fof(f2577,plain,
scratc2098389863_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a),
inference(resolution,[],[f2490,f1374]) ).
fof(f2578,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),
inference(resolution,[],[f2490,f1375]) ).
fof(f2738,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f2577,f1372]) ).
fof(f2739,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f2738,f2576]) ).
fof(f2742,plain,
~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(resolution,[],[f2578,f2046]) ).
fof(f3273,plain,
( ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_cd))
| pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
inference(resolution,[],[f2397,f1702]) ).
fof(f3285,plain,
( ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aTP_Lamm_dr))
| pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
inference(resolution,[],[f2397,f1678]) ).
fof(f3452,plain,
pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(forward_subsumption_resolution,[],[f3285,f1392]) ).
fof(f3464,plain,
pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(forward_subsumption_resolution,[],[f3273,f1380]) ).
fof(f4186,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(resolution,[],[f2742,f1373]) ).
fof(f4187,plain,
scratc2098389863_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a),
inference(resolution,[],[f2742,f1374]) ).
fof(f4188,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),
inference(resolution,[],[f2742,f1375]) ).
fof(f5698,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),
inference(resolution,[],[f4188,f2096]) ).
fof(f5699,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),
inference(resolution,[],[f4188,f2097]) ).
fof(f5700,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(resolution,[],[f4188,f2343]) ).
fof(f5795,plain,
~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),
inference(resolution,[],[f5700,f2180]) ).
fof(f5903,plain,
pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(resolution,[],[f5699,f2181]) ).
fof(f6086,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) = X0
| ~ gg_TPTP_ind(X0) ),
inference(resolution,[],[f4186,f2170]) ).
fof(f6099,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) = X0
| ~ gg_TPTP_ind(X0) ),
inference(forward_demodulation,[],[f6086,f2199]) ).
fof(f6166,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f4187,f1372]) ).
fof(f6167,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f6166,f4186]) ).
fof(f6171,plain,
( ~ pp(scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(resolution,[],[f5903,f2165]) ).
fof(f6446,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f2477,f1372]) ).
fof(f6447,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f6446,f2476]) ).
fof(f6826,plain,
pp(scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),
inference(resolution,[],[f5795,f2167]) ).
fof(f15936,definition,
( spl25_623
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_623])],[avatar_definition]) ).
fof(f15937,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621023570d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl25_623 ),
inference(avatar_component_clause,[],[f15936]) ).
fof(f15939,definition,
( spl25_624
<=> pp(scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_624])],[avatar_definition]) ).
fof(f15940,plain,
( ~ pp(scratc1193310645_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl25_624 ),
inference(avatar_component_clause,[],[f15939]) ).
fof(f15941,plain,
( spl25_623
| ~ spl25_624 ),
inference(avatar_split_clause,[],[f6171,f15939,f15936]) ).
fof(f16015,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),fFalse))
| spl25_624 ),
inference(resolution,[],[f15940,f2226]) ).
fof(f17061,plain,
pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),fFalse)),
inference(resolution,[],[f6826,f2227]) ).
fof(f17160,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| pp(fFalse) ),
inference(resolution,[],[f17061,f2165]) ).
fof(f17171,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(forward_subsumption_resolution,[],[f17160,f2164]) ).
fof(f17309,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_624 ),
inference(resolution,[],[f16015,f2167]) ).
fof(f17514,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl25_623 ),
inference(resolution,[],[f15937,f6099]) ).
fof(f17557,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl25_623 ),
inference(forward_subsumption_resolution,[],[f17514,f2576]) ).
fof(f17562,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1930591733bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1219227104d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl25_623 ),
inference(superposition,[],[f5700,f17557]) ).
fof(f17657,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl25_623 ),
inference(resolution,[],[f17562,f2298]) ).
fof(f17722,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl25_623 ),
inference(forward_subsumption_resolution,[],[f17657,f5698]) ).
fof(f17731,plain,
( ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl25_623 ),
inference(resolution,[],[f17722,f2739]) ).
fof(f17779,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl25_623 ),
inference(resolution,[],[f17731,f1853]) ).
fof(f17801,plain,
( ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl25_623 ),
inference(resolution,[],[f17779,f6447]) ).
fof(f17846,plain,
( $false
| ~ spl25_623 ),
inference(forward_subsumption_resolution,[],[f17801,f3452]) ).
fof(f17847,plain,
~ spl25_623,
inference(avatar_contradiction_clause,[],[f17846]) ).
fof(f18631,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1399552515nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(resolution,[],[f17171,f2346]) ).
fof(f18719,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc889608361lessis,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_624 ),
inference(forward_subsumption_resolution,[],[f18631,f17309]) ).
fof(f18724,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_624 ),
inference(forward_subsumption_resolution,[],[f18719,f5698]) ).
fof(f18798,plain,
( ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl25_624 ),
inference(resolution,[],[f18724,f6167]) ).
fof(f18846,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl25_624 ),
inference(resolution,[],[f18798,f2039]) ).
fof(f18868,plain,
( ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl25_624 ),
inference(resolution,[],[f18846,f2739]) ).
fof(f18916,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl25_624 ),
inference(resolution,[],[f18868,f1877]) ).
fof(f18938,plain,
( ~ pp(aa_fun171081125l_bool(scratc1235728178all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl25_624 ),
inference(resolution,[],[f18916,f6447]) ).
fof(f18983,plain,
( $false
| spl25_624 ),
inference(forward_subsumption_resolution,[],[f18938,f3464]) ).
fof(f18984,plain,
spl25_624,
inference(avatar_contradiction_clause,[],[f18983]) ).
cnf(s464,plain,
( spl25_623
| ~ spl25_624 ),
inference(sat_conversion,[],[f15941]) ).
cnf(s518,plain,
~ spl25_623,
inference(sat_conversion,[],[f17847]) ).
cnf(s545,plain,
spl25_624,
inference(sat_conversion,[],[f18984]) ).
cnf(s547,plain,
$false,
inference(rat,[],[s464,s545,s518]) ).
fof(f18985,plain,
$false,
inference(avatar_sat_refutation,[],[s547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM692+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n014.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 21:06:31 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 18.01/3.60 % (1166327)Detected formulas, will run a generic FOF schedule.
% 18.01/3.60 % (1166338)dis-21_1_sil=8000:lcm=predicate:random_seed=3158855676: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)
% 18.01/3.60 % (1166335)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=695455430:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.01/3.60 % (1166335)Refutation not found, incomplete strategy
% 18.01/3.60 % (1166335)------------------------------
% 18.01/3.60 % (1166335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.60 % (1166335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.60 % (1166335)CaDiCaL version: 2.1.3
% 18.01/3.60 % (1166335)Termination reason: Refutation not found, incomplete strategy
% 18.01/3.60 % (1166335)Time elapsed: 0.003 s
% 18.01/3.60 % (1166335)Peak memory usage: 88 MB
% 18.01/3.60 % (1166335)Instructions burned: 2 (million)
% 18.01/3.60 % (1166338)Instruction limit reached!
% 18.01/3.60 % (1166338)------------------------------
% 18.01/3.60 % (1166338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.60 % (1166338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.60 % (1166338)CaDiCaL version: 2.1.3
% 18.01/3.60 % (1166338)Termination reason: Instruction limit
% 18.01/3.60 % (1166338)Termination phase: Saturation
% 18.01/3.60 % (1166338)Time elapsed: 0.065 s
% 18.01/3.60 % (1166338)Peak memory usage: 90 MB
% 18.01/3.60 % (1166338)Instructions burned: 130 (million)
% 18.01/3.60 % (1166333)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=4024824172:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.01/3.60 % (1166337)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3717896246:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.01/3.60 % (1166336)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3713388873:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.01/3.60 % (1166332)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=4262365588:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.01/3.60 % (1166334)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=3953558960:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.01/3.60 % (1166336)Refutation not found, incomplete strategy
% 18.01/3.60 % (1166336)------------------------------
% 18.01/3.60 % (1166336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.60 % (1166336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.60 % (1166336)CaDiCaL version: 2.1.3
% 18.01/3.60 % (1166336)Termination reason: Refutation not found, incomplete strategy
% 18.01/3.60 % (1166336)Time elapsed: 0.005 s
% 18.01/3.60 % (1166336)Peak memory usage: 88 MB
% 18.01/3.60 % (1166336)Instructions burned: 3 (million)
% 18.01/3.60 % (1166337)Instruction limit reached!
% 18.01/3.60 % (1166337)------------------------------
% 18.01/3.60 % (1166337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.60 % (1166337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.60 % (1166337)CaDiCaL version: 2.1.3
% 18.01/3.60 % (1166337)Termination reason: Instruction limit
% 18.01/3.60 % (1166337)Termination phase: Saturation
% 18.01/3.60 % (1166337)Time elapsed: 0.134 s
% 18.01/3.60 % (1166337)Peak memory usage: 90 MB
% 18.01/3.60 % (1166337)Instructions burned: 140 (million)
% 18.01/3.60 % (1166335)------------------------------
% 18.01/3.60 % (1166335)------------------------------
% 18.01/3.60 % (1166341)lrs+10_1_sil=8000:sp=occurrence:random_seed=1751401092:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 18.01/3.60 % (1166341)Refutation not found, incomplete strategy
% 18.01/3.60 % (1166341)------------------------------
% 18.01/3.60 % (1166341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.60 % (1166341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.60 % (1166341)CaDiCaL version: 2.1.3
% 18.01/3.60 % (1166341)Termination reason: Refutation not found, incomplete strategy
% 18.01/3.60 % (1166341)Time elapsed: 0.005 s
% 18.01/3.60 % (1166341)Peak memory usage: 88 MB
% 26.57/4.80 % (1166341)Instructions burned: 2 (million)
% 26.57/4.80 % (1166348)lrs+1011_1_sil=32000:sp=occurrence:random_seed=459773537:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 26.57/4.80 % (1166347)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1974409499:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 26.57/4.80 % (1166348)Refutation not found, incomplete strategy
% 26.57/4.80 % (1166348)------------------------------
% 26.57/4.80 % (1166348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.57/4.80 % (1166348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.57/4.80 % (1166348)CaDiCaL version: 2.1.3
% 26.57/4.80 % (1166348)Termination reason: Refutation not found, incomplete strategy
% 26.57/4.80 % (1166348)Time elapsed: 0.004 s
% 26.57/4.80 % (1166348)Peak memory usage: 89 MB
% 26.57/4.80 % (1166348)Instructions burned: 5 (million)
% 26.57/4.80 % (1166347)Refutation not found, incomplete strategy
% 26.57/4.80 % (1166347)------------------------------
% 26.57/4.80 % (1166347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.57/4.80 % (1166347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.57/4.80 % (1166347)CaDiCaL version: 2.1.3
% 26.57/4.80 % (1166347)Termination reason: Refutation not found, incomplete strategy
% 26.57/4.80 % (1166347)Time elapsed: 0.009 s
% 26.57/4.80 % (1166347)Peak memory usage: 88 MB
% 26.57/4.80 % (1166347)Instructions burned: 9 (million)
% 26.57/4.80 % (1166336)------------------------------
% 26.57/4.80 % (1166336)------------------------------
% 26.57/4.80 % (1166348)------------------------------
% 26.57/4.80 % (1166348)------------------------------
% 26.57/4.80 % (1166341)------------------------------
% 26.57/4.80 % (1166341)------------------------------
% 26.57/4.80 % (1166352)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=1078537749:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 26.57/4.80 % (1166347)------------------------------
% 26.57/4.80 % (1166347)------------------------------
% 26.57/4.80 % (1166353)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3152051835:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 26.57/4.80 % (1166353)Refutation not found, incomplete strategy
% 26.57/4.80 % (1166353)------------------------------
% 26.57/4.80 % (1166353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.57/4.80 % (1166353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.57/4.80 % (1166353)CaDiCaL version: 2.1.3
% 26.57/4.80 % (1166353)Termination reason: Refutation not found, incomplete strategy
% 26.57/4.80 % (1166353)Time elapsed: 0.008 s
% 26.57/4.80 % (1166353)Peak memory usage: 88 MB
% 26.57/4.80 % (1166353)Instructions burned: 6 (million)
% 26.57/4.80 % (1166354)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2820415183:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 26.57/4.80 % (1166352)Instruction limit reached!
% 26.57/4.80 % (1166352)------------------------------
% 26.57/4.80 % (1166352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.57/4.80 % (1166352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.57/4.80 % (1166352)CaDiCaL version: 2.1.3
% 26.57/4.80 % (1166352)Termination reason: Instruction limit
% 26.57/4.80 % (1166352)Termination phase: Saturation
% 26.57/4.80 % (1166352)Time elapsed: 0.214 s
% 26.57/4.80 % (1166352)Peak memory usage: 95 MB
% 26.57/4.80 % (1166352)Instructions burned: 248 (million)
% 26.57/4.80 % (1166356)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2747812311:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 26.57/4.80 % (1166356)Instruction limit reached!
% 26.57/4.80 % (1166356)------------------------------
% 26.57/4.80 % (1166356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.57/4.80 % (1166356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.57/4.80 % (1166356)CaDiCaL version: 2.1.3
% 26.57/4.80 % (1166356)Termination reason: Instruction limit
% 26.57/4.80 % (1166356)Termination phase: Saturation
% 26.57/4.80 % (1166356)Time elapsed: 0.104 s
% 26.57/4.80 % (1166356)Peak memory usage: 90 MB
% 26.57/4.80 % (1166356)Instructions burned: 113 (million)
% 26.57/4.80 % (1166360)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=379866917:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 69.56/10.85 % (1166353)------------------------------
% 69.56/10.85 % (1166353)------------------------------
% 69.56/10.85 % (1166360)Instruction limit reached!
% 69.56/10.85 % (1166360)------------------------------
% 69.56/10.85 % (1166360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.56/10.85 % (1166360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.56/10.85 % (1166360)CaDiCaL version: 2.1.3
% 69.56/10.85 % (1166360)Termination reason: Instruction limit
% 69.56/10.85 % (1166360)Termination phase: Saturation
% 69.56/10.85 % (1166360)Time elapsed: 0.109 s
% 69.56/10.85 % (1166360)Peak memory usage: 89 MB
% 69.56/10.85 % (1166360)Instructions burned: 127 (million)
% 69.56/10.85 % (1166362)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1951484665:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 69.56/10.85 % (1166362)Instruction limit reached!
% 69.56/10.85 % (1166362)------------------------------
% 69.56/10.85 % (1166362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.56/10.85 % (1166362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.56/10.85 % (1166362)CaDiCaL version: 2.1.3
% 69.56/10.85 % (1166362)Termination reason: Instruction limit
% 69.56/10.85 % (1166362)Termination phase: Saturation
% 69.56/10.85 % (1166362)Time elapsed: 0.105 s
% 69.56/10.85 % (1166362)Peak memory usage: 90 MB
% 69.56/10.85 % (1166362)Instructions burned: 115 (million)
% 69.56/10.85 % (1166364)lrs+10_1_sil=8000:sp=occurrence:random_seed=2555669269:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 69.56/10.85 % (1166365)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2897983265:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 69.56/10.85 % (1166364)Refutation not found, incomplete strategy
% 69.56/10.85 % (1166364)------------------------------
% 69.56/10.85 % (1166364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.56/10.85 % (1166364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.56/10.85 % (1166364)CaDiCaL version: 2.1.3
% 69.56/10.85 % (1166364)Termination reason: Refutation not found, incomplete strategy
% 69.56/10.85 % (1166364)Time elapsed: 0.005 s
% 69.56/10.85 % (1166364)Peak memory usage: 88 MB
% 69.56/10.85 % (1166364)Instructions burned: 3 (million)
% 69.56/10.85 % (1166365)Refutation not found, incomplete strategy
% 69.56/10.85 % (1166365)------------------------------
% 69.56/10.85 % (1166365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.56/10.85 % (1166365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.56/10.85 % (1166365)CaDiCaL version: 2.1.3
% 69.56/10.85 % (1166365)Termination reason: Refutation not found, incomplete strategy
% 69.56/10.85 % (1166365)Time elapsed: 0.074 s
% 69.56/10.85 % (1166365)Peak memory usage: 90 MB
% 69.56/10.85 % (1166365)Instructions burned: 81 (million)
% 69.56/10.85 % (1166369)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=865139481:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 69.56/10.85 % (1166364)------------------------------
% 69.56/10.85 % (1166364)------------------------------
% 69.56/10.85 % (1166365)------------------------------
% 69.56/10.85 % (1166365)------------------------------
% 69.56/10.85 % (1166372)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3516412350:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 69.56/10.85 % (1166371)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4144709999:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 69.56/10.85 % (1166372)Refutation not found, incomplete strategy
% 69.56/10.85 % (1166372)------------------------------
% 69.56/10.85 % (1166372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.56/10.85 % (1166372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.56/10.85 % (1166372)CaDiCaL version: 2.1.3
% 69.56/10.85 % (1166372)Termination reason: Refutation not found, incomplete strategy
% 69.56/10.85 % (1166372)Time elapsed: 0.029 s
% 69.56/10.85 % (1166372)Peak memory usage: 89 MB
% 69.56/10.85 % (1166372)Instructions burned: 30 (million)
% 69.56/10.85 % (1166354)Instruction limit reached!
% 69.56/10.85 % (1166354)------------------------------
% 69.56/10.85 % (1166354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.56/10.85 % (1166354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.18/15.51 % (1166354)CaDiCaL version: 2.1.3
% 103.18/15.51 % (1166354)Termination reason: Instruction limit
% 103.18/15.51 % (1166354)Termination phase: Saturation
% 103.18/15.51 % (1166354)Time elapsed: 1.431 s
% 103.18/15.51 % (1166354)Peak memory usage: 143 MB
% 103.18/15.51 % (1166354)Instructions burned: 2351 (million)
% 103.18/15.51 % (1166371)Instruction limit reached!
% 103.18/15.51 % (1166371)------------------------------
% 103.18/15.51 % (1166371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.18/15.51 % (1166371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.18/15.51 % (1166371)CaDiCaL version: 2.1.3
% 103.18/15.51 % (1166371)Termination reason: Instruction limit
% 103.18/15.51 % (1166371)Termination phase: Saturation
% 103.18/15.51 % (1166371)Time elapsed: 0.119 s
% 103.18/15.51 % (1166371)Peak memory usage: 94 MB
% 103.18/15.51 % (1166371)Instructions burned: 135 (million)
% 103.18/15.51 % (1166375)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1279321110:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 103.18/15.51 % (1166376)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=1667843104:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 103.18/15.51 % (1166376)Refutation not found, incomplete strategy
% 103.18/15.51 % (1166376)------------------------------
% 103.18/15.51 % (1166376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.18/15.51 % (1166376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.18/15.51 % (1166376)CaDiCaL version: 2.1.3
% 103.18/15.51 % (1166376)Termination reason: Refutation not found, incomplete strategy
% 103.18/15.51 % (1166376)Time elapsed: 0.007 s
% 103.18/15.51 % (1166376)Peak memory usage: 89 MB
% 103.18/15.51 % (1166376)Instructions burned: 12 (million)
% 103.18/15.51 % (1166372)------------------------------
% 103.18/15.51 % (1166372)------------------------------
% 103.18/15.51 % (1166376)------------------------------
% 103.18/15.51 % (1166376)------------------------------
% 103.18/15.51 % (1166379)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=914162001:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 103.18/15.51 % (1166380)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2842835870:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 103.18/15.51 % (1166380)Refutation not found, incomplete strategy
% 103.18/15.51 % (1166380)------------------------------
% 103.18/15.51 % (1166380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.18/15.51 % (1166380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.18/15.51 % (1166380)CaDiCaL version: 2.1.3
% 103.18/15.51 % (1166380)Termination reason: Refutation not found, incomplete strategy
% 103.18/15.51 % (1166380)Time elapsed: 0.002 s
% 103.18/15.51 % (1166380)Peak memory usage: 88 MB
% 103.18/15.51 % (1166380)Instructions burned: 2 (million)
% 103.18/15.51 % (1166379)Instruction limit reached!
% 103.18/15.51 % (1166379)------------------------------
% 103.18/15.51 % (1166379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.18/15.51 % (1166379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.18/15.51 % (1166379)CaDiCaL version: 2.1.3
% 103.18/15.51 % (1166379)Termination reason: Instruction limit
% 103.18/15.51 % (1166379)Termination phase: Saturation
% 103.18/15.51 % (1166379)Time elapsed: 0.116 s
% 103.18/15.51 % (1166379)Peak memory usage: 92 MB
% 103.18/15.51 % (1166379)Instructions burned: 134 (million)
% 103.18/15.51 % (1166383)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3068503256:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 103.18/15.51 % (1166383)Refutation not found, incomplete strategy
% 103.18/15.51 % (1166383)------------------------------
% 103.18/15.51 % (1166383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.18/15.51 % (1166383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.18/15.51 % (1166383)CaDiCaL version: 2.1.3
% 103.18/15.51 % (1166383)Termination reason: Refutation not found, incomplete strategy
% 103.18/15.51 % (1166383)Time elapsed: 0.003 s
% 103.18/15.51 % (1166383)Peak memory usage: 89 MB
% 103.18/15.51 % (1166383)Instructions burned: 2 (million)
% 103.18/15.51 % (1166380)------------------------------
% 103.18/15.51 % (1166380)------------------------------
% 103.18/15.51 % (1166383)------------------------------
% 103.18/15.51 % (1166383)------------------------------
% 123.04/18.33 % (1166385)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=151678462:i=6060:aac=none:ins=25_2963 on theBenchmark for (2963ds/6060Mi)
% 123.04/18.33 % (1166386)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=989156373:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2962 on theBenchmark for (2962ds/150Mi)
% 123.04/18.33 % (1166386)Instruction limit reached!
% 123.04/18.33 % (1166386)------------------------------
% 123.04/18.33 % (1166386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.04/18.33 % (1166386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.04/18.33 % (1166386)CaDiCaL version: 2.1.3
% 123.04/18.33 % (1166386)Termination reason: Instruction limit
% 123.04/18.33 % (1166386)Termination phase: Saturation
% 123.04/18.33 % (1166386)Time elapsed: 0.074 s
% 123.04/18.33 % (1166386)Peak memory usage: 91 MB
% 123.04/18.33 % (1166386)Instructions burned: 152 (million)
% 123.04/18.33 % (1166389)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3297754958:i=14155:bd=all_2959 on theBenchmark for (2959ds/14155Mi)
% 123.04/18.33 % (1166369)Instruction limit reached!
% 123.04/18.33 % (1166369)------------------------------
% 123.04/18.33 % (1166369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.04/18.33 % (1166369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.04/18.33 % (1166369)CaDiCaL version: 2.1.3
% 123.04/18.33 % (1166369)Termination reason: Instruction limit
% 123.04/18.33 % (1166369)Termination phase: Saturation
% 123.04/18.33 % (1166369)Time elapsed: 5.577 s
% 123.04/18.33 % (1166369)Peak memory usage: 161 MB
% 123.04/18.33 % (1166369)Instructions burned: 5202 (million)
% 123.04/18.33 % (1166391)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1854956132:i=667:av=off:fsr=off_2923 on theBenchmark for (2923ds/667Mi)
% 123.04/18.33 % (1166391)Instruction limit reached!
% 123.04/18.33 % (1166391)------------------------------
% 123.04/18.33 % (1166391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.04/18.33 % (1166391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.04/18.33 % (1166391)CaDiCaL version: 2.1.3
% 123.04/18.33 % (1166391)Termination reason: Instruction limit
% 123.04/18.33 % (1166391)Termination phase: Saturation
% 123.04/18.33 % (1166391)Time elapsed: 0.551 s
% 123.04/18.33 % (1166391)Peak memory usage: 100 MB
% 123.04/18.33 % (1166391)Instructions burned: 668 (million)
% 123.04/18.33 % (1166393)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=3805976636:s2a=on:i=185:s2at=1.8:fdi=4_2915 on theBenchmark for (2915ds/185Mi)
% 123.04/18.33 % (1166393)Instruction limit reached!
% 123.04/18.33 % (1166393)------------------------------
% 123.04/18.33 % (1166393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.04/18.33 % (1166393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.04/18.33 % (1166393)CaDiCaL version: 2.1.3
% 123.04/18.33 % (1166393)Termination reason: Instruction limit
% 123.04/18.33 % (1166393)Termination phase: Saturation
% 123.04/18.33 % (1166393)Time elapsed: 0.149 s
% 123.04/18.33 % (1166393)Peak memory usage: 91 MB
% 123.04/18.33 % (1166393)Instructions burned: 185 (million)
% 123.04/18.33 % (1166395)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=418248298:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2911 on theBenchmark for (2911ds/193Mi)
% 123.04/18.33 % (1166395)Refutation not found, incomplete strategy
% 123.04/18.33 % (1166395)------------------------------
% 123.04/18.33 % (1166395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.04/18.33 % (1166395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.04/18.33 % (1166395)CaDiCaL version: 2.1.3
% 123.04/18.33 % (1166395)Termination reason: Refutation not found, incomplete strategy
% 123.04/18.33 % (1166395)Time elapsed: 0.008 s
% 123.04/18.33 % (1166395)Peak memory usage: 89 MB
% 123.04/18.33 % (1166395)Instructions burned: 5 (million)
% 123.04/18.33 % (1166395)------------------------------
% 123.04/18.33 % (1166395)------------------------------
% 123.04/18.33 % (1166399)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3801808316:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2904 on theBenchmark for (2904ds/4850Mi)
% 64.77/19.73 % (1166385)Instruction limit reached!
% 64.77/19.73 % (1166385)------------------------------
% 64.77/19.73 % (1166385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166385)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166385)Termination reason: Instruction limit
% 64.77/19.73 % (1166385)Termination phase: Saturation
% 64.77/19.73 % (1166385)Time elapsed: 6.204 s
% 64.77/19.73 % (1166385)Peak memory usage: 185 MB
% 64.77/19.73 % (1166385)Instructions burned: 6060 (million)
% 64.77/19.73 % (1166401)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3161306201:i=12111:sd=1:ss=included_2898 on theBenchmark for (2898ds/12111Mi)
% 64.77/19.73 % (1166389)Instruction limit reached!
% 64.77/19.73 % (1166389)------------------------------
% 64.77/19.73 % (1166389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166389)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166389)Termination reason: Instruction limit
% 64.77/19.73 % (1166389)Termination phase: Saturation
% 64.77/19.73 % (1166389)Time elapsed: 7.508 s
% 64.77/19.73 % (1166389)Peak memory usage: 227 MB
% 64.77/19.73 % (1166389)Instructions burned: 14157 (million)
% 64.77/19.73 % (1166403)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1719947146:i=319:kws=precedence:fsr=off_2881 on theBenchmark for (2881ds/319Mi)
% 64.77/19.73 % (1166403)Instruction limit reached!
% 64.77/19.73 % (1166403)------------------------------
% 64.77/19.73 % (1166403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166403)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166403)Termination reason: Instruction limit
% 64.77/19.73 % (1166403)Termination phase: Saturation
% 64.77/19.73 % (1166403)Time elapsed: 0.152 s
% 64.77/19.73 % (1166403)Peak memory usage: 93 MB
% 64.77/19.73 % (1166403)Instructions burned: 320 (million)
% 64.77/19.73 % (1166405)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1317258166:i=2064:ep=RST_2877 on theBenchmark for (2877ds/2064Mi)
% 64.77/19.73 % (1166405)Refutation not found, incomplete strategy
% 64.77/19.73 % (1166405)------------------------------
% 64.77/19.73 % (1166405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166405)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166405)Termination reason: Refutation not found, incomplete strategy
% 64.77/19.73 % (1166405)Time elapsed: 0.033 s
% 64.77/19.73 % (1166405)Peak memory usage: 90 MB
% 64.77/19.73 % (1166405)Instructions burned: 70 (million)
% 64.77/19.73 % (1166405)------------------------------
% 64.77/19.73 % (1166405)------------------------------
% 64.77/19.73 % (1166407)dis-1011_128_sil=32000:random_seed=1810773163:i=3706:ep=RST:av=off_2872 on theBenchmark for (2872ds/3706Mi)
% 64.77/19.73 % (1166375)Instruction limit reached!
% 64.77/19.73 % (1166375)------------------------------
% 64.77/19.73 % (1166375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166375)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166375)Termination reason: Instruction limit
% 64.77/19.73 % (1166375)Termination phase: Saturation
% 64.77/19.73 % (1166375)Time elapsed: 11.061 s
% 64.77/19.73 % (1166375)Peak memory usage: 187 MB
% 64.77/19.73 % (1166375)Instructions burned: 13194 (million)
% 64.77/19.73 % (1166411)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3840357958:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2861 on theBenchmark for (2861ds/757Mi)
% 64.77/19.73 % (1166411)Refutation not found, incomplete strategy
% 64.77/19.73 % (1166411)------------------------------
% 64.77/19.73 % (1166411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166411)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166411)Termination reason: Refutation not found, incomplete strategy
% 64.77/19.73 % (1166411)Time elapsed: 0.007 s
% 64.77/19.73 % (1166411)Peak memory usage: 89 MB
% 64.77/19.73 % (1166411)Instructions burned: 9 (million)
% 64.77/19.73 % (1166411)------------------------------
% 64.77/19.73 % (1166411)------------------------------
% 64.77/19.73 % (1166399)Instruction limit reached!
% 64.77/19.73 % (1166399)------------------------------
% 64.77/19.73 % (1166399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166399)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166399)Termination reason: Instruction limit
% 64.77/19.73 % (1166399)Termination phase: Saturation
% 64.77/19.73 % (1166399)Time elapsed: 4.833 s
% 64.77/19.73 % (1166399)Peak memory usage: 152 MB
% 64.77/19.73 % (1166399)Instructions burned: 4851 (million)
% 64.77/19.73 % (1166415)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3987564017:i=13913:ss=axioms:sgt=8_2855 on theBenchmark for (2855ds/13913Mi)
% 64.77/19.73 % (1166407)Instruction limit reached!
% 64.77/19.73 % (1166407)------------------------------
% 64.77/19.73 % (1166407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166407)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166407)Termination reason: Instruction limit
% 64.77/19.73 % (1166407)Termination phase: Saturation
% 64.77/19.73 % (1166407)Time elapsed: 1.829 s
% 64.77/19.73 % (1166407)Peak memory usage: 113 MB
% 64.77/19.73 % (1166407)Instructions burned: 3707 (million)
% 64.77/19.73 % (1166416)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2775566074:i=9925:aac=none_2853 on theBenchmark for (2853ds/9925Mi)
% 64.77/19.73 % (1166418)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1362615849:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2851 on theBenchmark for (2851ds/2479Mi)
% 64.77/19.73 % (1166418)Refutation not found, incomplete strategy
% 64.77/19.73 % (1166418)------------------------------
% 64.77/19.73 % (1166418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166418)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166418)Termination reason: Refutation not found, incomplete strategy
% 64.77/19.73 % (1166418)Time elapsed: 0.007 s
% 64.77/19.73 % (1166418)Peak memory usage: 88 MB
% 64.77/19.73 % (1166418)Instructions burned: 5 (million)
% 64.77/19.73 % (1166418)------------------------------
% 64.77/19.73 % (1166418)------------------------------
% 64.77/19.73 % (1166415)Refutation not found, incomplete strategy
% 64.77/19.73 % (1166415)------------------------------
% 64.77/19.73 % (1166415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166415)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166415)Termination reason: Refutation not found, incomplete strategy
% 64.77/19.73 % (1166415)Time elapsed: 0.922 s
% 64.77/19.73 % (1166415)Peak memory usage: 130 MB
% 64.77/19.73 % (1166415)Instructions burned: 876 (million)
% 64.77/19.73 % (1166421)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1390513528:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2845 on theBenchmark for (2845ds/440Mi)
% 64.77/19.73 % (1166421)Instruction limit reached!
% 64.77/19.73 % (1166421)------------------------------
% 64.77/19.73 % (1166421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166421)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166421)Termination reason: Instruction limit
% 64.77/19.73 % (1166421)Termination phase: Saturation
% 64.77/19.73 % (1166421)Time elapsed: 0.320 s
% 64.77/19.73 % (1166421)Peak memory usage: 91 MB
% 64.77/19.73 % (1166421)Instructions burned: 440 (million)
% 64.77/19.73 % (1166415)------------------------------
% 64.77/19.73 % (1166415)------------------------------
% 64.77/19.73 % (1166423)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2892897232:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2839 on theBenchmark for (2839ds/11145Mi)
% 64.77/19.73 % (1166424)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2907327757:cts=off:i=3034:av=off:er=known:fsd=on_2839 on theBenchmark for (2839ds/3034Mi)
% 64.77/19.73 % (1166423)Refutation not found, incomplete strategy
% 64.77/19.73 % (1166423)------------------------------
% 64.77/19.73 % (1166423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166423)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166423)Termination reason: Refutation not found, incomplete strategy
% 64.77/19.73 % (1166423)Time elapsed: 0.983 s
% 64.77/19.73 % (1166423)Peak memory usage: 129 MB
% 64.77/19.73 % (1166423)Instructions burned: 917 (million)
% 64.77/19.73 % (1166423)------------------------------
% 64.77/19.73 % (1166423)------------------------------
% 64.77/19.73 % (1166427)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=43716747:st=2:s2a=on:i=524:s2at=2:ss=axioms_2822 on theBenchmark for (2822ds/524Mi)
% 64.77/19.73 % (1166427)Refutation not found, incomplete strategy
% 64.77/19.73 % (1166427)------------------------------
% 64.77/19.73 % (1166427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/19.73 % (1166427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/19.73 % (1166427)CaDiCaL version: 2.1.3
% 64.77/19.73 % (1166427)Termination reason: Refutation not found, incomplete strategy
% 64.77/19.73 % (1166427)Time elapsed: 0.009 s
% 64.77/19.73 % (1166427)Peak memory usage: 88 MB
% 64.77/19.73 % (1166427)Instructions burned: 8 (million)
% 64.77/19.73 % (1166416)First to succeed.
% 64.77/19.73 % (1166416)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1166327"
% 64.77/19.73 % (1166427)------------------------------
% 64.77/19.73 % (1166427)------------------------------
% 64.77/19.73 % (1166416)Refutation found. Thanks to Tanya!
% 64.77/19.73 % SZS status Theorem for theBenchmark
% 64.77/19.73 % SZS output start Proof for theBenchmark
% See solution above
% 133.10/19.86 % (1166416)------------------------------
% 133.10/19.86 % (1166416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.86 % (1166416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.86 % (1166416)CaDiCaL version: 2.1.3
% 133.10/19.86 % (1166416)Termination reason: Refutation
% 133.10/19.86 % (1166416)Time elapsed: 3.411 s
% 133.10/19.86 % (1166416)Peak memory usage: 178 MB
% 133.10/19.86 % (1166416)Instructions burned: 6213 (million)
% 133.10/19.86 % (1166416)------------------------------
% 133.10/19.86 % (1166416)------------------------------
% 133.10/19.86 % (1166327)Success in time 18.699 s
% 133.10/19.86 % Vampire exiting
%------------------------------------------------------------------------------