%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM752+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:16:50 PM UTC 2026
% Result : Theorem 13.79s 3.15s
% Output : Refutation 16.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 31
% Syntax : Number of formulae : 178 ( 30 unt; 19 def)
% Number of atoms : 439 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 452 ( 191 ~; 198 |; 25 &)
% ( 33 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 23 ( 22 usr; 20 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 111 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1472578231_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f211,axiom,
pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_dd)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz56) ).
fof(f246,axiom,
pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_gm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz37) ).
fof(f459,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gm,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__21) ).
fof(f603,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_dd,X0))
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__165) ).
fof(f612,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__174) ).
fof(f779,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__341) ).
fof(f785,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__347) ).
fof(f849,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__411) ).
fof(f901,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__463) ).
fof(f940,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__502) ).
fof(f977,conjecture,
pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f978,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f977]) ).
fof(f979,plain,
~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f978]) ).
fof(f996,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1472578231_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f199]) ).
fof(f997,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1472578231_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f996]) ).
fof(f1150,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ) ),
inference(ennf_transformation,[],[f849]) ).
fof(f1217,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ) ),
inference(ennf_transformation,[],[f940]) ).
fof(f1218,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ) ),
inference(flattening,[],[f1217]) ).
fof(f1321,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1472578231_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1472578231_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f997]) ).
fof(f1322,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1472578231_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1472578231_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1)) ) ),
inference(rectify,[],[f1321]) ).
fof(f1323,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1472578231_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1472578231_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1322]) ).
fof(f1363,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gm,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X0)) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gm,X0)) ) ),
inference(nnf_transformation,[],[f459]) ).
fof(f1507,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dd,X0))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,X0))) )
& ( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dd,X0)) ) ),
inference(nnf_transformation,[],[f603]) ).
fof(f1516,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f612]) ).
fof(f1719,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,X0),X1)) ) ),
inference(nnf_transformation,[],[f779]) ).
fof(f1725,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
inference(nnf_transformation,[],[f785]) ).
fof(f1829,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1150]) ).
fof(f1830,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f1829]) ).
fof(f1892,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f901]) ).
fof(f1957,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1218]) ).
fof(f1958,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1957]) ).
fof(f2266,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1472578231_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1323]) ).
fof(f2267,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1323]) ).
fof(f2268,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
| scratc1472578231_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1323]) ).
fof(f2269,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1323]) ).
fof(f2282,plain,
pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_dd)),
inference(cnf_transformation,[],[f211]) ).
fof(f2317,plain,
pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_gm)),
inference(cnf_transformation,[],[f246]) ).
fof(f2580,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gm,X0)) ),
inference(cnf_transformation,[],[f1363]) ).
fof(f2868,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dd,X0)) ),
inference(cnf_transformation,[],[f1507]) ).
fof(f2887,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f1516]) ).
fof(f3254,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,X0),X1)) ),
inference(cnf_transformation,[],[f1719]) ).
fof(f3267,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f1725]) ).
fof(f3445,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f1830]) ).
fof(f3446,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X2),X1))) ),
inference(cnf_transformation,[],[f1830]) ).
fof(f3562,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1892]) ).
fof(f3697,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f1958]) ).
fof(f3767,plain,
~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f979]) ).
fof(f4112,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f4114,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f4112]) ).
fof(f4115,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f3767,f4112]) ).
fof(f4116,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f4114,f2267]) ).
fof(f4117,plain,
( scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f4114,f2268]) ).
fof(f4118,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f4114,f2269]) ).
fof(f4131,definition,
( spl29_2
<=> scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f4133,plain,
( scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f4131]) ).
fof(f4134,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f4117,f4112,f4131]) ).
fof(f5119,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f5121,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f5119]) ).
fof(f5122,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f4116,f4112,f5119]) ).
fof(f5124,definition,
( spl29_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f5126,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_5 ),
inference(avatar_component_clause,[],[f5124]) ).
fof(f5127,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f4118,f4112,f5124]) ).
fof(f5128,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_5 ),
inference(resolution,[],[f5126,f2887]) ).
fof(f5167,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f5169,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(avatar_component_clause,[],[f5167]) ).
fof(f5170,plain,
( ~ spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f5128,f5124,f5167]) ).
fof(f5172,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(resolution,[],[f5169,f2267]) ).
fof(f5173,plain,
( scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f5169,f2268]) ).
fof(f5174,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_6 ),
inference(resolution,[],[f5169,f2269]) ).
fof(f5187,definition,
( spl29_7
<=> scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f5189,plain,
( scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f5187]) ).
fof(f5190,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f5173,f5167,f5187]) ).
fof(f6175,definition,
( spl29_9
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f6177,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_9 ),
inference(avatar_component_clause,[],[f6175]) ).
fof(f6178,plain,
( ~ spl29_9
| spl29_6 ),
inference(avatar_split_clause,[],[f5174,f5167,f6175]) ).
fof(f6179,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(resolution,[],[f6177,f3267]) ).
fof(f6226,definition,
( spl29_10
<=> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f6228,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_10 ),
inference(avatar_component_clause,[],[f6226]) ).
fof(f6229,plain,
( ~ spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f6179,f6175,f6226]) ).
fof(f6231,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_10 ),
inference(resolution,[],[f6228,f2267]) ).
fof(f6232,plain,
( scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| spl29_10 ),
inference(resolution,[],[f6228,f2268]) ).
fof(f6233,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_10 ),
inference(resolution,[],[f6228,f2269]) ).
fof(f6246,definition,
( spl29_11
<=> scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f6248,plain,
( scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f6246]) ).
fof(f6249,plain,
( spl29_11
| spl29_10 ),
inference(avatar_split_clause,[],[f6232,f6226,f6246]) ).
fof(f6251,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(resolution,[],[f6248,f2266]) ).
fof(f6252,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),X0)) )
| spl29_10
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f6251,f6231]) ).
fof(f6254,definition,
( spl29_12
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f6255,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f6254]) ).
fof(f6256,plain,
( spl29_12
| spl29_10
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f6252,f6246,f6226,f6254]) ).
fof(f6258,definition,
( spl29_13
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f6260,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f6258]) ).
fof(f6261,plain,
( spl29_13
| spl29_6 ),
inference(avatar_split_clause,[],[f5172,f5167,f6258]) ).
fof(f6452,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f6454,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_16 ),
inference(avatar_component_clause,[],[f6452]) ).
fof(f6455,plain,
( ~ spl29_16
| spl29_10 ),
inference(avatar_split_clause,[],[f6233,f6226,f6452]) ).
fof(f6456,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_16 ),
inference(resolution,[],[f6454,f3445]) ).
fof(f6457,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_16 ),
inference(resolution,[],[f6454,f3446]) ).
fof(f6503,definition,
( spl29_17
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f6505,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_17 ),
inference(avatar_component_clause,[],[f6503]) ).
fof(f6506,plain,
( ~ spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f6457,f6452,f6503]) ).
fof(f6508,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_17 ),
inference(resolution,[],[f6505,f3697]) ).
fof(f6571,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_16
| spl29_17 ),
inference(forward_subsumption_resolution,[],[f6508,f6456]) ).
fof(f6573,definition,
( spl29_18
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f6575,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_18 ),
inference(avatar_component_clause,[],[f6573]) ).
fof(f6577,definition,
( spl29_19
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f6579,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_19 ),
inference(avatar_component_clause,[],[f6577]) ).
fof(f6580,plain,
( ~ spl29_18
| ~ spl29_19
| spl29_16
| spl29_17 ),
inference(avatar_split_clause,[],[f6571,f6503,f6452,f6577,f6573]) ).
fof(f6594,plain,
( ! [X0] :
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) )
| spl29_18 ),
inference(resolution,[],[f6575,f2266]) ).
fof(f6628,plain,
( ! [X0] :
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0)
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) )
| ~ spl29_13
| spl29_18 ),
inference(forward_subsumption_resolution,[],[f6594,f6260]) ).
fof(f6630,definition,
( spl29_20
<=> ! [X0] :
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0)
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f6631,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0) )
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f6630]) ).
fof(f6632,plain,
( spl29_20
| ~ spl29_13
| spl29_18 ),
inference(avatar_split_clause,[],[f6628,f6573,f6258,f6630]) ).
fof(f7562,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_dd))
| pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_12 ),
inference(resolution,[],[f6255,f2868]) ).
fof(f7598,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aTP_Lamm_gm))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_12 ),
inference(resolution,[],[f6255,f2580]) ).
fof(f7741,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f7598,f2317]) ).
fof(f7776,plain,
( pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f7562,f2282]) ).
fof(f7851,plain,
( $false
| ~ spl29_12
| spl29_19 ),
inference(forward_subsumption_resolution,[],[f7741,f6579]) ).
fof(f7852,plain,
( ~ spl29_12
| spl29_19 ),
inference(avatar_contradiction_clause,[],[f7851]) ).
fof(f7904,plain,
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl29_20 ),
inference(resolution,[],[f6631,f3562]) ).
fof(f7920,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl29_7
| ~ spl29_20 ),
inference(forward_subsumption_resolution,[],[f7904,f5189]) ).
fof(f7922,definition,
( spl29_25
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_25])],[avatar_definition]) ).
fof(f7924,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_25 ),
inference(avatar_component_clause,[],[f7922]) ).
fof(f7925,plain,
( ~ spl29_25
| ~ spl29_7
| ~ spl29_20 ),
inference(avatar_split_clause,[],[f7920,f6630,f5187,f7922]) ).
fof(f7937,plain,
( ! [X0] :
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) )
| spl29_25 ),
inference(resolution,[],[f7924,f2266]) ).
fof(f7971,plain,
( ! [X0] :
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X0)
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) )
| ~ spl29_4
| spl29_25 ),
inference(forward_subsumption_resolution,[],[f7937,f5121]) ).
fof(f7978,definition,
( spl29_27
<=> ! [X0] :
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X0)
| ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_27])],[avatar_definition]) ).
fof(f7979,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_db(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X0) )
| ~ spl29_27 ),
inference(avatar_component_clause,[],[f7978]) ).
fof(f7980,plain,
( spl29_27
| ~ spl29_4
| spl29_25 ),
inference(avatar_split_clause,[],[f7971,f7922,f5119,f7978]) ).
fof(f7981,plain,
( ~ scratc1472578231_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_27 ),
inference(resolution,[],[f7979,f3254]) ).
fof(f7997,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_2
| ~ spl29_27 ),
inference(forward_subsumption_resolution,[],[f7981,f4133]) ).
fof(f7999,definition,
( spl29_28
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_28])],[avatar_definition]) ).
fof(f8001,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_28 ),
inference(avatar_component_clause,[],[f7999]) ).
fof(f8002,plain,
( ~ spl29_28
| ~ spl29_2
| ~ spl29_27 ),
inference(avatar_split_clause,[],[f7997,f7978,f4131,f7999]) ).
fof(f8010,plain,
( ~ pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_12
| spl29_28 ),
inference(resolution,[],[f8001,f6255]) ).
fof(f8049,plain,
( $false
| ~ spl29_12
| spl29_28 ),
inference(forward_subsumption_resolution,[],[f8010,f7776]) ).
fof(f8050,plain,
( ~ spl29_12
| spl29_28 ),
inference(avatar_contradiction_clause,[],[f8049]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f4115]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f4134]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f5122]) ).
cnf(s5,plain,
( spl29_1
| ~ spl29_5 ),
inference(sat_conversion,[],[f5127]) ).
cnf(s6,plain,
( spl29_5
| ~ spl29_6 ),
inference(sat_conversion,[],[f5170]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f5190]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_9 ),
inference(sat_conversion,[],[f6178]) ).
cnf(s10,plain,
( spl29_9
| ~ spl29_10 ),
inference(sat_conversion,[],[f6229]) ).
cnf(s11,plain,
( spl29_10
| spl29_11 ),
inference(sat_conversion,[],[f6249]) ).
cnf(s12,plain,
( spl29_10
| ~ spl29_11
| spl29_12 ),
inference(sat_conversion,[],[f6256]) ).
cnf(s13,plain,
( spl29_6
| spl29_13 ),
inference(sat_conversion,[],[f6261]) ).
cnf(s16,plain,
( spl29_10
| ~ spl29_16 ),
inference(sat_conversion,[],[f6455]) ).
cnf(s17,plain,
( spl29_16
| ~ spl29_17 ),
inference(sat_conversion,[],[f6506]) ).
cnf(s18,plain,
( spl29_16
| spl29_17
| ~ spl29_18
| ~ spl29_19 ),
inference(sat_conversion,[],[f6580]) ).
cnf(s19,plain,
( ~ spl29_13
| spl29_18
| spl29_20 ),
inference(sat_conversion,[],[f6632]) ).
cnf(s25,plain,
( ~ spl29_12
| spl29_19 ),
inference(sat_conversion,[],[f7852]) ).
cnf(s26,plain,
( ~ spl29_7
| ~ spl29_20
| ~ spl29_25 ),
inference(sat_conversion,[],[f7925]) ).
cnf(s28,plain,
( ~ spl29_4
| spl29_25
| spl29_27 ),
inference(sat_conversion,[],[f7980]) ).
cnf(s29,plain,
( ~ spl29_2
| ~ spl29_27
| ~ spl29_28 ),
inference(sat_conversion,[],[f8002]) ).
cnf(s30,plain,
( ~ spl29_12
| spl29_28 ),
inference(sat_conversion,[],[f8050]) ).
cnf(s31,plain,
~ spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s32,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s33,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s34,plain,
~ spl29_6,
inference(rat,[],[s6,s31]) ).
cnf(s36,plain,
spl29_13,
inference(rat,[],[s13,s34]) ).
cnf(s37,plain,
~ spl29_9,
inference(rat,[],[s9,s34]) ).
cnf(s38,plain,
spl29_7,
inference(rat,[],[s7,s34]) ).
cnf(s40,plain,
~ spl29_10,
inference(rat,[],[s10,s37]) ).
cnf(s42,plain,
~ spl29_16,
inference(rat,[],[s16,s40]) ).
cnf(s44,plain,
spl29_11,
inference(rat,[],[s11,s40]) ).
cnf(s45,plain,
~ spl29_17,
inference(rat,[],[s17,s42]) ).
cnf(s47,plain,
spl29_12,
inference(rat,[],[s12,s40,s44]) ).
cnf(s49,plain,
spl29_28,
inference(rat,[],[s30,s47]) ).
cnf(s50,plain,
spl29_19,
inference(rat,[],[s25,s47]) ).
cnf(s52,plain,
~ spl29_27,
inference(rat,[],[s29,s33,s49]) ).
cnf(s53,plain,
~ spl29_18,
inference(rat,[],[s18,s45,s42,s50]) ).
cnf(s54,plain,
spl29_25,
inference(rat,[],[s28,s32,s52]) ).
cnf(s56,plain,
spl29_20,
inference(rat,[],[s19,s36,s53]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s26,s38,s54,s56]) ).
fof(f8051,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM752+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:16:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.23/2.34 % (1175423)Detected formulas, will run a generic FOF schedule.
% 10.23/2.34 % (1175434)dis-21_1_sil=8000:lcm=predicate:random_seed=332814390: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)
% 10.23/2.34 % (1175434)Instruction limit reached!
% 10.23/2.34 % (1175434)------------------------------
% 10.23/2.34 % (1175434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.23/2.34 % (1175434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.34 % (1175434)CaDiCaL version: 2.1.3
% 10.23/2.34 % (1175434)Termination reason: Instruction limit
% 10.23/2.34 % (1175434)Termination phase: Saturation
% 10.23/2.34 % (1175434)Time elapsed: 0.034 s
% 10.23/2.34 % (1175434)Peak memory usage: 90 MB
% 10.23/2.34 % (1175434)Instructions burned: 129 (million)
% 10.23/2.34 % (1175429)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=2547143533:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.23/2.34 % (1175433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2443134430:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.23/2.34 % (1175430)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=4085617013:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.23/2.34 % (1175428)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=3505179560:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.23/2.34 % (1175431)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1278093037:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.23/2.34 % (1175432)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2653490486:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.23/2.34 % (1175431)Refutation not found, incomplete strategy
% 10.23/2.34 % (1175431)------------------------------
% 10.23/2.34 % (1175431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.23/2.34 % (1175431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.34 % (1175431)CaDiCaL version: 2.1.3
% 10.23/2.34 % (1175431)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.34 % (1175431)Time elapsed: 0.004 s
% 10.23/2.34 % (1175431)Peak memory usage: 88 MB
% 10.23/2.34 % (1175431)Instructions burned: 4 (million)
% 10.23/2.34 % (1175432)Refutation not found, incomplete strategy
% 10.23/2.34 % (1175432)------------------------------
% 10.23/2.34 % (1175432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.23/2.34 % (1175432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.34 % (1175432)CaDiCaL version: 2.1.3
% 10.23/2.34 % (1175432)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.34 % (1175432)Time elapsed: 0.004 s
% 10.23/2.34 % (1175432)Peak memory usage: 88 MB
% 10.23/2.34 % (1175432)Instructions burned: 5 (million)
% 10.23/2.34 % (1175433)Instruction limit reached!
% 10.23/2.34 % (1175433)------------------------------
% 10.23/2.34 % (1175433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.23/2.34 % (1175433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.34 % (1175433)CaDiCaL version: 2.1.3
% 10.23/2.34 % (1175433)Termination reason: Instruction limit
% 10.23/2.34 % (1175433)Termination phase: Saturation
% 10.23/2.34 % (1175433)Time elapsed: 0.069 s
% 10.23/2.34 % (1175433)Peak memory usage: 90 MB
% 10.23/2.34 % (1175433)Instructions burned: 139 (million)
% 10.23/2.34 % (1175436)lrs+10_1_sil=8000:sp=occurrence:random_seed=2255296085:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.23/2.34 % (1175436)Refutation not found, incomplete strategy
% 10.23/2.34 % (1175436)------------------------------
% 10.23/2.34 % (1175436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.23/2.34 % (1175436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.34 % (1175436)CaDiCaL version: 2.1.3
% 10.23/2.34 % (1175436)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.34 % (1175436)Time elapsed: 0.002 s
% 10.23/2.34 % (1175436)Peak memory usage: 89 MB
% 10.23/2.34 % (1175436)Instructions burned: 4 (million)
% 10.23/2.34 % (1175432)------------------------------
% 13.79/3.15 % (1175432)------------------------------
% 13.79/3.15 % (1175431)------------------------------
% 13.79/3.15 % (1175431)------------------------------
% 13.79/3.15 % (1175443)lrs+10_1_sil=32000:urr=on:br=off:random_seed=565281195:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.79/3.15 % (1175443)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175443)------------------------------
% 13.79/3.15 % (1175443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175443)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175443)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175443)Time elapsed: 0.008 s
% 13.79/3.15 % (1175443)Peak memory usage: 89 MB
% 13.79/3.15 % (1175443)Instructions burned: 15 (million)
% 13.79/3.15 % (1175436)------------------------------
% 13.79/3.15 % (1175436)------------------------------
% 13.79/3.15 % (1175448)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=803260711:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.79/3.15 % (1175446)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2278852976:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.79/3.15 % (1175447)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=1511718170:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.79/3.15 % (1175448)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175448)------------------------------
% 13.79/3.15 % (1175448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175448)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175448)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175448)Time elapsed: 0.004 s
% 13.79/3.15 % (1175448)Peak memory usage: 89 MB
% 13.79/3.15 % (1175448)Instructions burned: 10 (million)
% 13.79/3.15 % (1175446)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175446)------------------------------
% 13.79/3.15 % (1175446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175446)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175446)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175446)Time elapsed: 0.006 s
% 13.79/3.15 % (1175446)Peak memory usage: 89 MB
% 13.79/3.15 % (1175446)Instructions burned: 7 (million)
% 13.79/3.15 % (1175443)------------------------------
% 13.79/3.15 % (1175443)------------------------------
% 13.79/3.15 % (1175447)Instruction limit reached!
% 13.79/3.15 % (1175447)------------------------------
% 13.79/3.15 % (1175447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175447)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175447)Termination reason: Instruction limit
% 13.79/3.15 % (1175447)Termination phase: Saturation
% 13.79/3.15 % (1175447)Time elapsed: 0.131 s
% 13.79/3.15 % (1175447)Peak memory usage: 97 MB
% 13.79/3.15 % (1175447)Instructions burned: 249 (million)
% 13.79/3.15 % (1175448)------------------------------
% 13.79/3.15 % (1175448)------------------------------
% 13.79/3.15 % (1175446)------------------------------
% 13.79/3.15 % (1175446)------------------------------
% 13.79/3.15 % (1175454)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=725251391:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.79/3.15 % (1175452)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2197655904:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.79/3.15 % (1175453)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3083575240:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.79/3.15 % (1175454)Instruction limit reached!
% 13.79/3.15 % (1175454)------------------------------
% 13.79/3.15 % (1175454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175454)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175454)Termination reason: Instruction limit
% 13.79/3.15 % (1175454)Termination phase: Saturation
% 13.79/3.15 % (1175454)Time elapsed: 0.033 s
% 13.79/3.15 % (1175454)Peak memory usage: 90 MB
% 13.79/3.15 % (1175454)Instructions burned: 130 (million)
% 13.79/3.15 % (1175453)Instruction limit reached!
% 13.79/3.15 % (1175453)------------------------------
% 13.79/3.15 % (1175453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175453)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175453)Termination reason: Instruction limit
% 13.79/3.15 % (1175453)Termination phase: Saturation
% 13.79/3.15 % (1175453)Time elapsed: 0.055 s
% 13.79/3.15 % (1175453)Peak memory usage: 90 MB
% 13.79/3.15 % (1175453)Instructions burned: 114 (million)
% 13.79/3.15 % (1175455)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=204528935:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 13.79/3.15 % (1175459)lrs+10_1_sil=8000:sp=occurrence:random_seed=2179938960:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.79/3.15 % (1175459)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175459)------------------------------
% 13.79/3.15 % (1175459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175459)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175459)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175459)Time elapsed: 0.002 s
% 13.79/3.15 % (1175459)Peak memory usage: 89 MB
% 13.79/3.15 % (1175459)Instructions burned: 4 (million)
% 13.79/3.15 % (1175455)Instruction limit reached!
% 13.79/3.15 % (1175455)------------------------------
% 13.79/3.15 % (1175455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175455)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175455)Termination reason: Instruction limit
% 13.79/3.15 % (1175455)Termination phase: Saturation
% 13.79/3.15 % (1175455)Time elapsed: 0.062 s
% 13.79/3.15 % (1175455)Peak memory usage: 90 MB
% 13.79/3.15 % (1175455)Instructions burned: 115 (million)
% 13.79/3.15 % (1175460)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2324485194:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.79/3.15 % (1175460)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175460)------------------------------
% 13.79/3.15 % (1175460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175460)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175460)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175460)Time elapsed: 0.071 s
% 13.79/3.15 % (1175460)Peak memory usage: 92 MB
% 13.79/3.15 % (1175460)Instructions burned: 141 (million)
% 13.79/3.15 % (1175459)------------------------------
% 13.79/3.15 % (1175459)------------------------------
% 13.79/3.15 % (1175463)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1039714156:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.79/3.15 % (1175465)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2043942703:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 13.79/3.15 % (1175465)Instruction limit reached!
% 13.79/3.15 % (1175465)------------------------------
% 13.79/3.15 % (1175465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175465)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175465)Termination reason: Instruction limit
% 13.79/3.15 % (1175465)Termination phase: Saturation
% 13.79/3.15 % (1175465)Time elapsed: 0.036 s
% 13.79/3.15 % (1175465)Peak memory usage: 92 MB
% 13.79/3.15 % (1175465)Instructions burned: 134 (million)
% 13.79/3.15 % (1175460)------------------------------
% 13.79/3.15 % (1175460)------------------------------
% 13.79/3.15 % (1175468)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3031257817:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 13.79/3.15 % (1175468)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175468)------------------------------
% 13.79/3.15 % (1175468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175468)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175468)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175468)Time elapsed: 0.009 s
% 13.79/3.15 % (1175468)Peak memory usage: 89 MB
% 13.79/3.15 % (1175468)Instructions burned: 31 (million)
% 13.79/3.15 % (1175469)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3101912346:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 13.79/3.15 % (1175468)------------------------------
% 13.79/3.15 % (1175468)------------------------------
% 13.79/3.15 % (1175472)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=161805816:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 13.79/3.15 % (1175472)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175472)------------------------------
% 13.79/3.15 % (1175472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175472)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175472)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175472)Time elapsed: 0.006 s
% 13.79/3.15 % (1175472)Peak memory usage: 89 MB
% 13.79/3.15 % (1175472)Instructions burned: 20 (million)
% 13.79/3.15 % (1175472)------------------------------
% 13.79/3.15 % (1175472)------------------------------
% 13.79/3.15 % (1175430)First to succeed.
% 13.79/3.15 % (1175430)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1175423"
% 13.79/3.15 % (1175474)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1647763092:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 13.79/3.15 % (1175474)Instruction limit reached!
% 13.79/3.15 % (1175474)------------------------------
% 13.79/3.15 % (1175474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175474)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175474)Termination reason: Instruction limit
% 13.79/3.15 % (1175474)Termination phase: Property scanning
% 13.79/3.15 % (1175474)Time elapsed: 0.034 s
% 13.79/3.15 % (1175474)Peak memory usage: 90 MB
% 13.79/3.15 % (1175474)Instructions burned: 134 (million)
% 13.79/3.15 % (1175476)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1536682682:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 13.79/3.15 % (1175476)Refutation not found, incomplete strategy
% 13.79/3.15 % (1175476)------------------------------
% 13.79/3.15 % (1175476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/3.15 % (1175476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/3.15 % (1175476)CaDiCaL version: 2.1.3
% 13.79/3.15 % (1175476)Termination reason: Refutation not found, incomplete strategy
% 13.79/3.15 % (1175476)Time elapsed: 0.002 s
% 13.79/3.15 % (1175476)Peak memory usage: 89 MB
% 13.79/3.15 % (1175476)Instructions burned: 4 (million)
% 13.79/3.15 % (1175430)Refutation found. Thanks to Tanya!
% 13.79/3.15 % SZS status Theorem for theBenchmark
% 13.79/3.15 % SZS output start Proof for theBenchmark
% See solution above
% 16.50/3.34 % (1175430)------------------------------
% 16.50/3.34 % (1175430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.34 % (1175430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.34 % (1175430)CaDiCaL version: 2.1.3
% 16.50/3.34 % (1175430)Termination reason: Refutation
% 16.50/3.34 % (1175430)Time elapsed: 1.779 s
% 16.50/3.34 % (1175430)Peak memory usage: 158 MB
% 16.50/3.34 % (1175430)Instructions burned: 3139 (million)
% 16.50/3.34 % (1175430)------------------------------
% 16.50/3.34 % (1175430)------------------------------
% 16.50/3.34 % (1175423)Success in time 2.287 s
% 16.50/3.34 % Vampire exiting
%------------------------------------------------------------------------------