%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM689+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:16:29 PM UTC 2026
% Result : Theorem 37.45s 11.06s
% Output : Refutation 74.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 137 ( 43 unt; 4 def)
% Number of atoms : 363 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 397 ( 171 ~; 161 |; 34 &)
% ( 24 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 166 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f29,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f35,axiom,
! [X0] : scratc706173174d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc200434677_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f150,axiom,
pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_bz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz22a) ).
fof(f191,axiom,
pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_gj)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz14) ).
fof(f322,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gj,X0))
<=> pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__37) ).
fof(f361,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
<=> pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__76) ).
fof(f363,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__78) ).
fof(f385,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__100) ).
fof(f439,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__154) ).
fof(f441,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__156) ).
fof(f501,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__216) ).
fof(f503,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1932941860all_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__218) ).
fof(f519,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__234) ).
fof(f520,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(scratc1139136823lessis,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__235) ).
fof(f555,conjecture,
pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f556,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f555]) ).
fof(f557,plain,
~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f556]) ).
fof(f574,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc200434677_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f575,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc200434677_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f574]) ).
fof(f640,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f385]) ).
fof(f695,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1)) ) ),
inference(ennf_transformation,[],[f519]) ).
fof(f696,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1)) ) ),
inference(flattening,[],[f695]) ).
fof(f697,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(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f520]) ).
fof(f698,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(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1)) ) ),
inference(flattening,[],[f697]) ).
fof(f724,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f725,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f788,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc200434677_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc200434677_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f575]) ).
fof(f789,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc200434677_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc200434677_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1)) ) ),
inference(rectify,[],[f788]) ).
fof(f790,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc200434677_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc200434677_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f789]) ).
fof(f846,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gj,X0))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gj,X0)) ) ),
inference(nnf_transformation,[],[f322]) ).
fof(f885,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ) ),
inference(nnf_transformation,[],[f361]) ).
fof(f887,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f363]) ).
fof(f916,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,X0),X1)) ) ),
inference(nnf_transformation,[],[f640]) ).
fof(f917,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,X0),X1)) ) ),
inference(flattening,[],[f916]) ).
fof(f978,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ) ),
inference(nnf_transformation,[],[f439]) ).
fof(f980,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1932941860all_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,[],[f441]) ).
fof(f1066,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f501]) ).
fof(f1068,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1932941860all_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,[],[f503]) ).
fof(f1089,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f696]) ).
fof(f1090,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1089]) ).
fof(f1091,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(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f698]) ).
fof(f1092,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(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1091]) ).
fof(f1148,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f724]) ).
fof(f1149,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X1),X0))) ),
inference(cnf_transformation,[],[f724]) ).
fof(f1150,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f725]) ).
fof(f1151,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f725]) ).
fof(f1162,plain,
! [X0] : scratc706173174d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1336,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc200434677_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1)) ),
inference(cnf_transformation,[],[f790]) ).
fof(f1337,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f790]) ).
fof(f1338,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
| scratc200434677_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f790]) ).
fof(f1339,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f790]) ).
fof(f1343,plain,
pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_bz)),
inference(cnf_transformation,[],[f150]) ).
fof(f1384,plain,
pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_gj)),
inference(cnf_transformation,[],[f191]) ).
fof(f1581,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gj,X0)) ),
inference(cnf_transformation,[],[f846]) ).
fof(f1659,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ),
inference(cnf_transformation,[],[f885]) ).
fof(f1664,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f887]) ).
fof(f1712,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,X0),X1)) ),
inference(cnf_transformation,[],[f917]) ).
fof(f1828,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ),
inference(cnf_transformation,[],[f978]) ).
fof(f1833,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f980]) ).
fof(f1984,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1066]) ).
fof(f1989,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f1068]) ).
fof(f2030,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f1090]) ).
fof(f2035,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(scratc1139136823lessis,X0),X1)) ),
inference(cnf_transformation,[],[f1092]) ).
fof(f2036,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(scratc2027704053nd_iii,X2),X3)) ),
inference(cnf_transformation,[],[f1092]) ).
fof(f2037,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(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc706173174d_n_pl(X1),X3))) ),
inference(cnf_transformation,[],[f1092]) ).
fof(f2105,plain,
~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f557]) ).
fof(f2271,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_plus,X1)),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ),
inference(definition_unfolding,[],[f2030,f1162,f1162]) ).
fof(f2272,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(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_plus,X1)),X3))) ),
inference(definition_unfolding,[],[f2037,f1162,f1162]) ).
fof(f2306,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)),
inference(resolution,[],[f2105,f1337]) ).
fof(f2307,plain,
scratc200434677_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a),
inference(resolution,[],[f2105,f1338]) ).
fof(f2308,plain,
~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))),
inference(resolution,[],[f2105,f1339]) ).
fof(f2321,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(scratc1932941860all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f2307,f1336]) ).
fof(f2322,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f2321,f2306]) ).
fof(f2323,plain,
~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f2308,f1664]) ).
fof(f2401,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f2323,f1337]) ).
fof(f2402,plain,
scratc200434677_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a),
inference(resolution,[],[f2323,f1338]) ).
fof(f2403,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,[],[f2323,f1339]) ).
fof(f2415,plain,
~ pp(aa_fun171081125l_bool(scratc1932941860all_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,[],[f2403,f1833]) ).
fof(f2501,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,[],[f2415,f1337]) ).
fof(f2502,plain,
scratc200434677_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,[],[f2415,f1338]) ).
fof(f2503,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,[],[f2415,f1339]) ).
fof(f2667,plain,
~ pp(aa_fun171081125l_bool(scratc1932941860all_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,[],[f2503,f1989]) ).
fof(f3223,plain,
( ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_gj))
| pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
inference(resolution,[],[f2322,f1581]) ).
fof(f3328,plain,
pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(forward_subsumption_resolution,[],[f3223,f1384]) ).
fof(f4090,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,[],[f2667,f1337]) ).
fof(f4091,plain,
scratc200434677_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,[],[f2667,f1338]) ).
fof(f4092,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,[],[f2667,f1339]) ).
fof(f5554,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139136823lessis,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,[],[f4092,f2035]) ).
fof(f5555,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_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))))))))),
inference(resolution,[],[f4092,f2036]) ).
fof(f5556,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027704053nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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,[],[f4092,f2272]) ).
fof(f5639,plain,
~ pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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))))))))),
inference(resolution,[],[f5556,f1149]) ).
fof(f5756,definition,
( spl25_250
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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)))))))) ),
introduced(definition,[new_symbols(definition,[spl25_250])],[avatar_definition]) ).
fof(f5757,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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))))))))
| spl25_250 ),
inference(avatar_component_clause,[],[f5756]) ).
fof(f5783,plain,
pp(aa_fun171081125l_bool(scratc1787427310n_some,aa_TPT43085870d_bool(scratc169596924ffprop(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(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,[],[f5555,f1148]) ).
fof(f5847,definition,
( spl25_260
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,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(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_260])],[avatar_definition]) ).
fof(f5848,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,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(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_260 ),
inference(avatar_component_clause,[],[f5847]) ).
fof(f5851,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,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,[],[f5554,f1712]) ).
fof(f5903,definition,
( spl25_263
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,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_263])],[avatar_definition]) ).
fof(f5904,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,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_263 ),
inference(avatar_component_clause,[],[f5903]) ).
fof(f5906,definition,
( spl25_264
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl25_264])],[avatar_definition]) ).
fof(f5907,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1273120435moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ spl25_264 ),
inference(avatar_component_clause,[],[f5906]) ).
fof(f5908,plain,
( ~ spl25_263
| spl25_264 ),
inference(avatar_split_clause,[],[f5851,f5906,f5903]) ).
fof(f5978,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1885555843bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1415730542d_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)))))))),
inference(resolution,[],[f5639,f1150]) ).
fof(f5991,plain,
~ spl25_250,
inference(avatar_split_clause,[],[f5978,f5756]) ).
fof(f6139,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,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(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,[],[f5783,f1151]) ).
fof(f6416,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(scratc1932941860all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f2402,f1336]) ).
fof(f6417,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(scratc1932941860all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f6416,f2401]) ).
fof(f6943,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,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(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(scratc1273120435moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),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)))))))),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_250 ),
inference(resolution,[],[f5757,f2271]) ).
fof(f10220,plain,
( ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl25_263 ),
inference(resolution,[],[f6417,f5904]) ).
fof(f10275,plain,
( ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aTP_Lamm_bz))
| pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
inference(resolution,[],[f6417,f1659]) ).
fof(f10447,plain,
pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(forward_subsumption_resolution,[],[f10275,f1343]) ).
fof(f10461,plain,
( $false
| spl25_263 ),
inference(forward_subsumption_resolution,[],[f10220,f3328]) ).
fof(f10462,plain,
spl25_263,
inference(avatar_contradiction_clause,[],[f10461]) ).
fof(f10617,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105057911_29_ii,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(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(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),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)))))))),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_250
| ~ spl25_264 ),
inference(forward_subsumption_resolution,[],[f6943,f5907]) ).
fof(f12893,plain,
spl25_260,
inference(avatar_split_clause,[],[f6139,f5847]) ).
fof(f12932,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),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)))))))),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_250
| ~ spl25_260
| ~ spl25_264 ),
inference(forward_subsumption_resolution,[],[f10617,f5848]) ).
fof(f12963,plain,
( ! [X0] :
( ~ scratc200434677_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))))),X0)
| ~ 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(scratc1932941860all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),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_250
| ~ spl25_260
| ~ spl25_264 ),
inference(resolution,[],[f12932,f1336]) ).
fof(f13003,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),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))))))))))
| ~ scratc200434677_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))))),X0) )
| spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(forward_subsumption_resolution,[],[f12963,f2501]) ).
fof(f13004,plain,
( ~ scratc200434677_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)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),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_250
| ~ spl25_260
| ~ spl25_264 ),
inference(resolution,[],[f13003,f1984]) ).
fof(f13020,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),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_250
| ~ spl25_260
| ~ spl25_264 ),
inference(forward_subsumption_resolution,[],[f13004,f2502]) ).
fof(f13031,plain,
( ! [X0] :
( ~ scratc200434677_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))))))),X0)
| ~ 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(scratc1932941860all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(resolution,[],[f13020,f1336]) ).
fof(f13068,plain,
( ! [X0] :
( ~ scratc200434677_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))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(forward_subsumption_resolution,[],[f13031,f4090]) ).
fof(f13070,plain,
( ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(resolution,[],[f13068,f4091]) ).
fof(f13072,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(resolution,[],[f13070,f1828]) ).
fof(f13314,plain,
( ~ pp(aa_fun171081125l_bool(scratc1932941860all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(resolution,[],[f13072,f2322]) ).
fof(f13372,plain,
( $false
| spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(forward_subsumption_resolution,[],[f13314,f10447]) ).
fof(f13373,plain,
( spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(avatar_contradiction_clause,[],[f13372]) ).
cnf(s189,plain,
( ~ spl25_263
| spl25_264 ),
inference(sat_conversion,[],[f5908]) ).
cnf(s192,plain,
~ spl25_250,
inference(sat_conversion,[],[f5991]) ).
cnf(s345,plain,
spl25_263,
inference(sat_conversion,[],[f10462]) ).
cnf(s408,plain,
spl25_260,
inference(sat_conversion,[],[f12893]) ).
cnf(s430,plain,
( spl25_250
| ~ spl25_260
| ~ spl25_264 ),
inference(sat_conversion,[],[f13373]) ).
cnf(s435,plain,
~ spl25_264,
inference(rat,[],[s430,s408,s192]) ).
cnf(s439,plain,
$false,
inference(rat,[],[s189,s435,s345]) ).
fof(f13396,plain,
$false,
inference(avatar_sat_refutation,[],[s439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM689+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:06:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 10.15/2.09 % (2389516)Detected formulas, will run a generic FOF schedule.
% 10.15/2.09 % (2389526)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1534445856:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.15/2.09 % (2389527)dis-21_1_sil=8000:lcm=predicate:random_seed=169094228:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.15/2.09 % (2389525)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=935601828:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.15/2.09 % (2389523)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=422751663:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.15/2.09 % (2389521)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=4089193923:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.15/2.09 % (2389524)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=464317553:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.15/2.09 % (2389522)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=989349791:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.15/2.09 % (2389524)Refutation not found, incomplete strategy
% 10.15/2.09 % (2389524)------------------------------
% 10.15/2.09 % (2389524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.09 % (2389524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.09 % (2389524)CaDiCaL version: 2.1.3
% 10.15/2.09 % (2389524)Termination reason: Refutation not found, incomplete strategy
% 10.15/2.09 % (2389524)Time elapsed: 0.002 s
% 10.15/2.09 % (2389524)Peak memory usage: 88 MB
% 10.15/2.09 % (2389524)Instructions burned: 2 (million)
% 10.15/2.09 % (2389525)Refutation not found, incomplete strategy
% 10.15/2.09 % (2389525)------------------------------
% 10.15/2.09 % (2389525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.09 % (2389525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.09 % (2389525)CaDiCaL version: 2.1.3
% 10.15/2.09 % (2389525)Termination reason: Refutation not found, incomplete strategy
% 10.15/2.09 % (2389525)Time elapsed: 0.003 s
% 10.15/2.09 % (2389525)Peak memory usage: 88 MB
% 10.15/2.09 % (2389525)Instructions burned: 3 (million)
% 10.15/2.09 % (2389526)Instruction limit reached!
% 10.15/2.09 % (2389526)------------------------------
% 10.15/2.09 % (2389526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.09 % (2389526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.09 % (2389526)CaDiCaL version: 2.1.3
% 10.15/2.09 % (2389526)Termination reason: Instruction limit
% 10.15/2.09 % (2389526)Termination phase: Saturation
% 10.15/2.09 % (2389526)Time elapsed: 0.044 s
% 10.15/2.09 % (2389526)Peak memory usage: 90 MB
% 10.15/2.09 % (2389526)Instructions burned: 141 (million)
% 10.15/2.09 % (2389527)Instruction limit reached!
% 10.15/2.09 % (2389527)------------------------------
% 10.15/2.09 % (2389527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.10 % (2389527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.10 % (2389527)CaDiCaL version: 2.1.3
% 10.15/2.10 % (2389527)Termination reason: Instruction limit
% 10.15/2.10 % (2389527)Termination phase: Saturation
% 10.15/2.10 % (2389527)Time elapsed: 0.071 s
% 10.15/2.10 % (2389527)Peak memory usage: 90 MB
% 10.15/2.10 % (2389527)Instructions burned: 129 (million)
% 10.15/2.10 % (2389535)lrs+10_1_sil=8000:sp=occurrence:random_seed=3395533057:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.15/2.10 % (2389535)Refutation not found, incomplete strategy
% 10.15/2.10 % (2389535)------------------------------
% 10.15/2.10 % (2389535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.10 % (2389535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.10 % (2389535)CaDiCaL version: 2.1.3
% 10.15/2.10 % (2389535)Termination reason: Refutation not found, incomplete strategy
% 10.15/2.10 % (2389535)Time elapsed: 0.002 s
% 10.15/2.10 % (2389535)Peak memory usage: 88 MB
% 10.15/2.10 % (2389535)Instructions burned: 2 (million)
% 10.15/2.10 % (2389536)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2953712394:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.31/3.21 % (2389536)Refutation not found, incomplete strategy
% 18.31/3.21 % (2389536)------------------------------
% 18.31/3.21 % (2389536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.31/3.21 % (2389536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.21 % (2389536)CaDiCaL version: 2.1.3
% 18.31/3.21 % (2389536)Termination reason: Refutation not found, incomplete strategy
% 18.31/3.21 % (2389536)Time elapsed: 0.005 s
% 18.31/3.21 % (2389536)Peak memory usage: 88 MB
% 18.31/3.21 % (2389536)Instructions burned: 9 (million)
% 18.31/3.21 % (2389524)------------------------------
% 18.31/3.21 % (2389524)------------------------------
% 18.31/3.21 % (2389525)------------------------------
% 18.31/3.21 % (2389525)------------------------------
% 18.31/3.21 % (2389535)------------------------------
% 18.31/3.21 % (2389535)------------------------------
% 18.31/3.21 % (2389539)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1157480795:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.31/3.21 % (2389540)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=3244011435:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.31/3.21 % (2389539)Refutation not found, incomplete strategy
% 18.31/3.21 % (2389539)------------------------------
% 18.31/3.21 % (2389539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.31/3.21 % (2389539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.21 % (2389539)CaDiCaL version: 2.1.3
% 18.31/3.21 % (2389539)Termination reason: Refutation not found, incomplete strategy
% 18.31/3.21 % (2389539)Time elapsed: 0.005 s
% 18.31/3.21 % (2389539)Peak memory usage: 89 MB
% 18.31/3.21 % (2389539)Instructions burned: 5 (million)
% 18.31/3.21 % (2389541)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3643951843:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.31/3.21 % (2389541)Refutation not found, incomplete strategy
% 18.31/3.21 % (2389541)------------------------------
% 18.31/3.21 % (2389541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.31/3.21 % (2389541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.21 % (2389541)CaDiCaL version: 2.1.3
% 18.31/3.21 % (2389541)Termination reason: Refutation not found, incomplete strategy
% 18.31/3.21 % (2389541)Time elapsed: 0.003 s
% 18.31/3.21 % (2389541)Peak memory usage: 89 MB
% 18.31/3.21 % (2389541)Instructions burned: 6 (million)
% 18.31/3.21 % (2389536)------------------------------
% 18.31/3.21 % (2389536)------------------------------
% 18.31/3.21 % (2389540)Instruction limit reached!
% 18.31/3.21 % (2389540)------------------------------
% 18.31/3.21 % (2389540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.31/3.21 % (2389540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.21 % (2389540)CaDiCaL version: 2.1.3
% 18.31/3.21 % (2389540)Termination reason: Instruction limit
% 18.31/3.21 % (2389540)Termination phase: Saturation
% 18.31/3.21 % (2389540)Time elapsed: 0.125 s
% 18.31/3.21 % (2389540)Peak memory usage: 95 MB
% 18.31/3.21 % (2389540)Instructions burned: 248 (million)
% 18.31/3.21 % (2389541)------------------------------
% 18.31/3.21 % (2389541)------------------------------
% 18.31/3.21 % (2389545)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1285111075:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.31/3.21 % (2389539)------------------------------
% 18.31/3.21 % (2389539)------------------------------
% 18.31/3.21 % (2389546)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3287229974:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.31/3.21 % (2389547)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3486626378:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 18.31/3.21 % (2389547)Instruction limit reached!
% 18.31/3.21 % (2389547)------------------------------
% 18.31/3.21 % (2389547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.31/3.21 % (2389547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.21 % (2389547)CaDiCaL version: 2.1.3
% 18.31/3.21 % (2389547)Termination reason: Instruction limit
% 18.31/3.21 % (2389547)Termination phase: Saturation
% 18.31/3.21 % (2389547)Time elapsed: 0.033 s
% 41.73/6.55 % (2389547)Peak memory usage: 89 MB
% 41.73/6.55 % (2389547)Instructions burned: 130 (million)
% 41.73/6.55 % (2389546)Instruction limit reached!
% 41.73/6.55 % (2389546)------------------------------
% 41.73/6.55 % (2389546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/6.55 % (2389546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/6.55 % (2389546)CaDiCaL version: 2.1.3
% 41.73/6.55 % (2389546)Termination reason: Instruction limit
% 41.73/6.55 % (2389546)Termination phase: Saturation
% 41.73/6.55 % (2389546)Time elapsed: 0.060 s
% 41.73/6.55 % (2389546)Peak memory usage: 91 MB
% 41.73/6.55 % (2389546)Instructions burned: 113 (million)
% 41.73/6.55 % (2389549)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1036997780:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 41.73/6.55 % (2389552)lrs+10_1_sil=8000:sp=occurrence:random_seed=39745146:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 41.73/6.55 % (2389552)Refutation not found, incomplete strategy
% 41.73/6.55 % (2389552)------------------------------
% 41.73/6.55 % (2389552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/6.55 % (2389552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/6.55 % (2389552)CaDiCaL version: 2.1.3
% 41.73/6.55 % (2389552)Termination reason: Refutation not found, incomplete strategy
% 41.73/6.55 % (2389552)Time elapsed: 0.002 s
% 41.73/6.55 % (2389552)Peak memory usage: 88 MB
% 41.73/6.55 % (2389552)Instructions burned: 3 (million)
% 41.73/6.55 % (2389549)Instruction limit reached!
% 41.73/6.55 % (2389549)------------------------------
% 41.73/6.55 % (2389549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/6.55 % (2389549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/6.55 % (2389549)CaDiCaL version: 2.1.3
% 41.73/6.55 % (2389549)Termination reason: Instruction limit
% 41.73/6.55 % (2389549)Termination phase: Saturation
% 41.73/6.55 % (2389549)Time elapsed: 0.063 s
% 41.73/6.55 % (2389549)Peak memory usage: 90 MB
% 41.73/6.55 % (2389549)Instructions burned: 115 (million)
% 41.73/6.55 % (2389553)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3059716410:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 41.73/6.55 % (2389553)Refutation not found, incomplete strategy
% 41.73/6.55 % (2389553)------------------------------
% 41.73/6.55 % (2389553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/6.55 % (2389553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/6.55 % (2389553)CaDiCaL version: 2.1.3
% 41.73/6.55 % (2389553)Termination reason: Refutation not found, incomplete strategy
% 41.73/6.55 % (2389553)Time elapsed: 0.040 s
% 41.73/6.55 % (2389553)Peak memory usage: 90 MB
% 41.73/6.55 % (2389553)Instructions burned: 77 (million)
% 41.73/6.55 % (2389552)------------------------------
% 41.73/6.55 % (2389552)------------------------------
% 41.73/6.55 % (2389556)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1858359626:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 41.73/6.55 % (2389558)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1144407109:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 41.73/6.55 % (2389558)Instruction limit reached!
% 41.73/6.55 % (2389558)------------------------------
% 41.73/6.55 % (2389558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/6.55 % (2389558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/6.55 % (2389558)CaDiCaL version: 2.1.3
% 41.73/6.55 % (2389558)Termination reason: Instruction limit
% 41.73/6.55 % (2389558)Termination phase: Saturation
% 41.73/6.55 % (2389558)Time elapsed: 0.038 s
% 41.73/6.55 % (2389558)Peak memory usage: 94 MB
% 41.73/6.55 % (2389558)Instructions burned: 134 (million)
% 41.73/6.55 % (2389553)------------------------------
% 41.73/6.55 % (2389553)------------------------------
% 41.73/6.55 % (2389561)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3864964441:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 41.73/6.55 % (2389561)Refutation not found, incomplete strategy
% 41.73/6.55 % (2389561)------------------------------
% 41.73/6.55 % (2389561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/6.55 % (2389561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.07/9.43 % (2389561)CaDiCaL version: 2.1.3
% 62.07/9.43 % (2389561)Termination reason: Refutation not found, incomplete strategy
% 62.07/9.43 % (2389561)Time elapsed: 0.008 s
% 62.07/9.43 % (2389561)Peak memory usage: 89 MB
% 62.07/9.43 % (2389561)Instructions burned: 29 (million)
% 62.07/9.43 % (2389562)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3421266565:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 62.07/9.43 % (2389561)------------------------------
% 62.07/9.43 % (2389561)------------------------------
% 62.07/9.43 % (2389565)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=2362245725:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 62.07/9.43 % (2389565)Refutation not found, incomplete strategy
% 62.07/9.43 % (2389565)------------------------------
% 62.07/9.43 % (2389565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.07/9.43 % (2389565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.07/9.43 % (2389565)CaDiCaL version: 2.1.3
% 62.07/9.43 % (2389565)Termination reason: Refutation not found, incomplete strategy
% 62.07/9.43 % (2389565)Time elapsed: 0.004 s
% 62.07/9.43 % (2389565)Peak memory usage: 89 MB
% 62.07/9.43 % (2389565)Instructions burned: 11 (million)
% 62.07/9.43 % (2389565)------------------------------
% 62.07/9.43 % (2389565)------------------------------
% 62.07/9.43 % (2389567)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2240737121:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 62.07/9.43 % (2389567)Instruction limit reached!
% 62.07/9.43 % (2389567)------------------------------
% 62.07/9.43 % (2389567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.07/9.43 % (2389567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.07/9.43 % (2389567)CaDiCaL version: 2.1.3
% 62.07/9.43 % (2389567)Termination reason: Instruction limit
% 62.07/9.43 % (2389567)Termination phase: Saturation
% 62.07/9.43 % (2389567)Time elapsed: 0.035 s
% 62.07/9.43 % (2389567)Peak memory usage: 92 MB
% 62.07/9.43 % (2389567)Instructions burned: 134 (million)
% 62.07/9.43 % (2389569)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=602063692:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 62.07/9.43 % (2389569)Refutation not found, incomplete strategy
% 62.07/9.43 % (2389569)------------------------------
% 62.07/9.43 % (2389569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.07/9.43 % (2389569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.07/9.43 % (2389569)CaDiCaL version: 2.1.3
% 62.07/9.43 % (2389569)Termination reason: Refutation not found, incomplete strategy
% 62.07/9.43 % (2389569)Time elapsed: 0.001 s
% 62.07/9.43 % (2389569)Peak memory usage: 89 MB
% 62.07/9.43 % (2389569)Instructions burned: 2 (million)
% 62.07/9.43 % (2389569)------------------------------
% 62.07/9.43 % (2389569)------------------------------
% 62.07/9.43 % (2389545)Instruction limit reached!
% 62.07/9.43 % (2389545)------------------------------
% 62.07/9.43 % (2389545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.07/9.43 % (2389545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.07/9.43 % (2389545)CaDiCaL version: 2.1.3
% 62.07/9.43 % (2389545)Termination reason: Instruction limit
% 62.07/9.43 % (2389545)Termination phase: Saturation
% 62.07/9.43 % (2389545)Time elapsed: 1.604 s
% 62.07/9.43 % (2389545)Peak memory usage: 144 MB
% 62.07/9.43 % (2389545)Instructions burned: 2350 (million)
% 62.07/9.43 % (2389571)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1606543453:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 62.07/9.43 % (2389571)Refutation not found, incomplete strategy
% 62.07/9.43 % (2389571)------------------------------
% 62.07/9.43 % (2389571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.07/9.43 % (2389571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.07/9.43 % (2389571)CaDiCaL version: 2.1.3
% 62.07/9.43 % (2389571)Termination reason: Refutation not found, incomplete strategy
% 62.07/9.43 % (2389571)Time elapsed: 0.002 s
% 62.07/9.43 % (2389571)Peak memory usage: 89 MB
% 62.07/9.43 % (2389571)Instructions burned: 2 (million)
% 62.07/9.43 % (2389572)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=3367729170:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 37.45/11.06 % (2389571)------------------------------
% 37.45/11.06 % (2389571)------------------------------
% 37.45/11.06 % (2389575)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=2064947867:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 37.45/11.06 % (2389575)Instruction limit reached!
% 37.45/11.06 % (2389575)------------------------------
% 37.45/11.06 % (2389575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389575)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389575)Termination reason: Instruction limit
% 37.45/11.06 % (2389575)Termination phase: Saturation
% 37.45/11.06 % (2389575)Time elapsed: 0.043 s
% 37.45/11.06 % (2389575)Peak memory usage: 91 MB
% 37.45/11.06 % (2389575)Instructions burned: 152 (million)
% 37.45/11.06 % (2389577)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4172421684:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 37.45/11.06 % (2389556)Instruction limit reached!
% 37.45/11.06 % (2389556)------------------------------
% 37.45/11.06 % (2389556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389556)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389556)Termination reason: Instruction limit
% 37.45/11.06 % (2389556)Termination phase: Saturation
% 37.45/11.06 % (2389556)Time elapsed: 3.401 s
% 37.45/11.06 % (2389556)Peak memory usage: 160 MB
% 37.45/11.06 % (2389556)Instructions burned: 5202 (million)
% 37.45/11.06 % (2389579)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1050880186:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 37.45/11.06 % (2389579)Instruction limit reached!
% 37.45/11.06 % (2389579)------------------------------
% 37.45/11.06 % (2389579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389579)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389579)Termination reason: Instruction limit
% 37.45/11.06 % (2389579)Termination phase: Saturation
% 37.45/11.06 % (2389579)Time elapsed: 0.326 s
% 37.45/11.06 % (2389579)Peak memory usage: 100 MB
% 37.45/11.06 % (2389579)Instructions burned: 668 (million)
% 37.45/11.06 % (2389581)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=605628325:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 37.45/11.06 % (2389581)Instruction limit reached!
% 37.45/11.06 % (2389581)------------------------------
% 37.45/11.06 % (2389581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389581)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389581)Termination reason: Instruction limit
% 37.45/11.06 % (2389581)Termination phase: Saturation
% 37.45/11.06 % (2389581)Time elapsed: 0.082 s
% 37.45/11.06 % (2389581)Peak memory usage: 91 MB
% 37.45/11.06 % (2389581)Instructions burned: 187 (million)
% 37.45/11.06 % (2389583)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1406672070:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2946 on theBenchmark for (2946ds/193Mi)
% 37.45/11.06 % (2389583)Refutation not found, incomplete strategy
% 37.45/11.06 % (2389583)------------------------------
% 37.45/11.06 % (2389583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389583)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389583)Termination reason: Refutation not found, incomplete strategy
% 37.45/11.06 % (2389583)Time elapsed: 0.005 s
% 37.45/11.06 % (2389583)Peak memory usage: 89 MB
% 37.45/11.06 % (2389583)Instructions burned: 5 (million)
% 37.45/11.06 % (2389583)------------------------------
% 37.45/11.06 % (2389583)------------------------------
% 37.45/11.06 % (2389585)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1447662917:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2942 on theBenchmark for (2942ds/4850Mi)
% 37.45/11.06 % (2389572)Instruction limit reached!
% 37.45/11.06 % (2389572)------------------------------
% 37.45/11.06 % (2389572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389572)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389572)Termination reason: Instruction limit
% 37.45/11.06 % (2389572)Termination phase: Saturation
% 37.45/11.06 % (2389572)Time elapsed: 3.955 s
% 37.45/11.06 % (2389572)Peak memory usage: 207 MB
% 37.45/11.06 % (2389572)Instructions burned: 6062 (million)
% 37.45/11.06 % (2389587)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3184319781:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 37.45/11.06 % (2389577)Instruction limit reached!
% 37.45/11.06 % (2389577)------------------------------
% 37.45/11.06 % (2389577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389577)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389577)Termination reason: Instruction limit
% 37.45/11.06 % (2389577)Termination phase: Saturation
% 37.45/11.06 % (2389577)Time elapsed: 4.143 s
% 37.45/11.06 % (2389577)Peak memory usage: 218 MB
% 37.45/11.06 % (2389577)Instructions burned: 14157 (million)
% 37.45/11.06 % (2389589)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2636635034:i=319:kws=precedence:fsr=off_2928 on theBenchmark for (2928ds/319Mi)
% 37.45/11.06 % (2389589)Instruction limit reached!
% 37.45/11.06 % (2389589)------------------------------
% 37.45/11.06 % (2389589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389589)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389589)Termination reason: Instruction limit
% 37.45/11.06 % (2389589)Termination phase: Saturation
% 37.45/11.06 % (2389589)Time elapsed: 0.091 s
% 37.45/11.06 % (2389589)Peak memory usage: 93 MB
% 37.45/11.06 % (2389589)Instructions burned: 321 (million)
% 37.45/11.06 % (2389591)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1864192912:i=2064:ep=RST_2926 on theBenchmark for (2926ds/2064Mi)
% 37.45/11.06 % (2389591)Refutation not found, incomplete strategy
% 37.45/11.06 % (2389591)------------------------------
% 37.45/11.06 % (2389591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389591)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389591)Termination reason: Refutation not found, incomplete strategy
% 37.45/11.06 % (2389591)Time elapsed: 0.017 s
% 37.45/11.06 % (2389591)Peak memory usage: 90 MB
% 37.45/11.06 % (2389591)Instructions burned: 68 (million)
% 37.45/11.06 % (2389591)------------------------------
% 37.45/11.06 % (2389591)------------------------------
% 37.45/11.06 % (2389593)dis-1011_128_sil=32000:random_seed=3752443834:i=3706:ep=RST:av=off_2923 on theBenchmark for (2923ds/3706Mi)
% 37.45/11.06 % (2389562)Instruction limit reached!
% 37.45/11.06 % (2389562)------------------------------
% 37.45/11.06 % (2389562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389562)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389562)Termination reason: Instruction limit
% 37.45/11.06 % (2389562)Termination phase: Saturation
% 37.45/11.06 % (2389562)Time elapsed: 6.859 s
% 37.45/11.06 % (2389562)Peak memory usage: 190 MB
% 37.45/11.06 % (2389562)Instructions burned: 13194 (million)
% 37.45/11.06 % (2389595)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=633904463:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2915 on theBenchmark for (2915ds/757Mi)
% 37.45/11.06 % (2389595)Refutation not found, incomplete strategy
% 37.45/11.06 % (2389595)------------------------------
% 37.45/11.06 % (2389595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389595)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389595)Termination reason: Refutation not found, incomplete strategy
% 37.45/11.06 % (2389595)Time elapsed: 0.007 s
% 37.45/11.06 % (2389595)Peak memory usage: 89 MB
% 37.45/11.06 % (2389595)Instructions burned: 9 (million)
% 37.45/11.06 % (2389595)------------------------------
% 37.45/11.06 % (2389595)------------------------------
% 37.45/11.06 % (2389593)Instruction limit reached!
% 37.45/11.06 % (2389593)------------------------------
% 37.45/11.06 % (2389593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389593)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389593)Termination reason: Instruction limit
% 37.45/11.06 % (2389593)Termination phase: Saturation
% 37.45/11.06 % (2389593)Time elapsed: 1.129 s
% 37.45/11.06 % (2389593)Peak memory usage: 113 MB
% 37.45/11.06 % (2389593)Instructions burned: 3708 (million)
% 37.45/11.06 % (2389597)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2129505493:i=13913:ss=axioms:sgt=8_2911 on theBenchmark for (2911ds/13913Mi)
% 37.45/11.06 % (2389598)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1909419396:i=9925:aac=none_2910 on theBenchmark for (2910ds/9925Mi)
% 37.45/11.06 % (2389585)Instruction limit reached!
% 37.45/11.06 % (2389585)------------------------------
% 37.45/11.06 % (2389585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389585)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389585)Termination reason: Instruction limit
% 37.45/11.06 % (2389585)Termination phase: Saturation
% 37.45/11.06 % (2389585)Time elapsed: 3.145 s
% 37.45/11.06 % (2389585)Peak memory usage: 152 MB
% 37.45/11.06 % (2389585)Instructions burned: 4851 (million)
% 37.45/11.06 % (2389601)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3695501758:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2909 on theBenchmark for (2909ds/2479Mi)
% 37.45/11.06 % (2389601)Refutation not found, incomplete strategy
% 37.45/11.06 % (2389601)------------------------------
% 37.45/11.06 % (2389601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389601)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389601)Termination reason: Refutation not found, incomplete strategy
% 37.45/11.06 % (2389601)Time elapsed: 0.004 s
% 37.45/11.06 % (2389601)Peak memory usage: 88 MB
% 37.45/11.06 % (2389601)Instructions burned: 4 (million)
% 37.45/11.06 % (2389601)------------------------------
% 37.45/11.06 % (2389601)------------------------------
% 37.45/11.06 % (2389597)Refutation not found, incomplete strategy
% 37.45/11.06 % (2389597)------------------------------
% 37.45/11.06 % (2389597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389597)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389597)Termination reason: Refutation not found, incomplete strategy
% 37.45/11.06 % (2389597)Time elapsed: 0.590 s
% 37.45/11.06 % (2389597)Peak memory usage: 129 MB
% 37.45/11.06 % (2389597)Instructions burned: 876 (million)
% 37.45/11.06 % (2389603)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=4160794534:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2904 on theBenchmark for (2904ds/440Mi)
% 37.45/11.06 % (2389597)------------------------------
% 37.45/11.06 % (2389597)------------------------------
% 37.45/11.06 % (2389603)Instruction limit reached!
% 37.45/11.06 % (2389603)------------------------------
% 37.45/11.06 % (2389603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.45/11.06 % (2389603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.45/11.06 % (2389603)CaDiCaL version: 2.1.3
% 37.45/11.06 % (2389603)Termination reason: Instruction limit
% 37.45/11.06 % (2389603)Termination phase: Saturation
% 37.45/11.06 % (2389603)Time elapsed: 0.178 s
% 37.45/11.06 % (2389603)Peak memory usage: 91 MB
% 37.45/11.06 % (2389603)Instructions burned: 441 (million)
% 37.45/11.06 % (2389605)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2938057104:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2901 on theBenchmark for (2901ds/11145Mi)
% 37.45/11.06 % (2389606)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=2428519065:cts=off:i=3034:av=off:er=known:fsd=on_2901 on theBenchmark for (2901ds/3034Mi)
% 37.45/11.06 % (2389598)First to succeed.
% 37.45/11.06 % (2389598)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2389516"
% 37.45/11.06 % (2389598)Refutation found. Thanks to Tanya!
% 37.45/11.06 % SZS status Theorem for theBenchmark
% 37.45/11.06 % SZS output start Proof for theBenchmark
% See solution above
% 74.30/11.25 % (2389598)------------------------------
% 74.30/11.25 % (2389598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.30/11.25 % (2389598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.30/11.25 % (2389598)CaDiCaL version: 2.1.3
% 74.30/11.25 % (2389598)Termination reason: Refutation
% 74.30/11.25 % (2389598)Time elapsed: 1.213 s
% 74.30/11.25 % (2389598)Peak memory usage: 159 MB
% 74.30/11.25 % (2389598)Instructions burned: 3891 (million)
% 74.30/11.25 % (2389598)------------------------------
% 74.30/11.25 % (2389598)------------------------------
% 74.30/11.25 % (2389516)Success in time 10.451 s
% 74.30/11.25 % Vampire exiting
%------------------------------------------------------------------------------