%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM663+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 : n006.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 12:16:18 PM UTC 2026
% Result : Theorem 23.48s 4.17s
% Output : Refutation 23.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 47
% Syntax : Number of formulae : 256 ( 48 unt; 29 def)
% Number of atoms : 634 ( 22 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 653 ( 275 ~; 299 |; 28 &)
% ( 44 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 34 ( 32 usr; 30 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 147 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1))
<=> pp(aa_bool_bool(scratc688880767d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessis) ).
fof(f53,axiom,
scratc820132104d_n_is = scratc1301471743d_e_is(scratc522853969nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc1301471743d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f110,axiom,
! [X0] : scratc688880767d_l_or(X0) = aa_boo1142376798l_bool(scratc482333628nd_imp,scratc1701480831_d_not(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f115,axiom,
! [X0] :
( pp(scratc1701480831_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc482333628nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc482333628nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc459076401_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f149,axiom,
pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_bt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz15) ).
fof(f296,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__44) ).
fof(f297,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__45) ).
fof(f343,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__91) ).
fof(f344,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__92) ).
fof(f361,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(scratc1397778547lessis,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__109) ).
fof(f363,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__111) ).
fof(f411,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f413,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f416,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f420,conjecture,
pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f421,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f420]) ).
fof(f422,plain,
~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f421]) ).
fof(f439,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc459076401_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f440,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc459076401_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f439]) ).
fof(f520,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(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f361]) ).
fof(f521,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(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1)) ) ),
inference(flattening,[],[f520]) ).
fof(f523,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f363]) ).
fof(f524,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)) ) ),
inference(flattening,[],[f523]) ).
fof(f542,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f416]) ).
fof(f543,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f542]) ).
fof(f544,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc688880767d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc688880767d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f588,plain,
! [X0] :
( ( pp(scratc1701480831_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc482333628nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc482333628nd_imp,X0),fFalse))
| ~ pp(scratc1701480831_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f611,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc459076401_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc459076401_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f440]) ).
fof(f612,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc459076401_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc459076401_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1)) ) ),
inference(rectify,[],[f611]) ).
fof(f613,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc459076401_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc459076401_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f612]) ).
fof(f676,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ) ),
inference(nnf_transformation,[],[f296]) ).
fof(f677,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f297]) ).
fof(f738,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(nnf_transformation,[],[f343]) ).
fof(f739,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1303091688all_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,[],[f344]) ).
fof(f757,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(scratc482071225nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f521]) ).
fof(f758,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(scratc482071225nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f757]) ).
fof(f761,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f524]) ).
fof(f762,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(flattening,[],[f761]) ).
fof(f834,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc688880767d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1)) ),
inference(cnf_transformation,[],[f544]) ).
fof(f880,plain,
scratc820132104d_n_is = scratc1301471743d_e_is(scratc522853969nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f944,plain,
! [X0] : scratc1301471743d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f958,plain,
! [X0] : aa_boo1142376798l_bool(scratc482333628nd_imp,scratc1701480831_d_not(X0)) = scratc688880767d_l_or(X0),
inference(cnf_transformation,[],[f110]) ).
fof(f965,plain,
! [X0] :
( pp(scratc1701480831_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc482333628nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f588]) ).
fof(f966,plain,
scratc482333628nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1028,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc459076401_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1)) ),
inference(cnf_transformation,[],[f613]) ).
fof(f1029,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f613]) ).
fof(f1030,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
| scratc459076401_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f613]) ).
fof(f1031,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f613]) ).
fof(f1034,plain,
pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_bt)),
inference(cnf_transformation,[],[f149]) ).
fof(f1254,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ),
inference(cnf_transformation,[],[f676]) ).
fof(f1257,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f677]) ).
fof(f1361,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(cnf_transformation,[],[f738]) ).
fof(f1364,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f739]) ).
fof(f1399,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(scratc1397778547lessis,X0),X1)) ),
inference(cnf_transformation,[],[f758]) ).
fof(f1400,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(scratc482071225nd_iii,X1),X2)) ),
inference(cnf_transformation,[],[f758]) ).
fof(f1401,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(scratc482071225nd_iii,X0),X2)) ),
inference(cnf_transformation,[],[f758]) ).
fof(f1405,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ),
inference(cnf_transformation,[],[f762]) ).
fof(f1509,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1511,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f413]) ).
fof(f1514,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f543]) ).
fof(f1518,plain,
~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f422]) ).
fof(f1521,plain,
! [X0] : scratc688880767d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1701480831_d_not(X0)),
inference(definition_unfolding,[],[f958,f966]) ).
fof(f1525,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1701480831_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,X0),X1)) ),
inference(definition_unfolding,[],[f834,f1521]) ).
fof(f1543,plain,
scratc820132104d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f880,f944]) ).
fof(f1570,plain,
! [X0] :
( pp(scratc1701480831_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f965,f966]) ).
fof(f1674,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f1676,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1677,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1518,f1674]) ).
fof(f1678,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f1676,f1029]) ).
fof(f1679,plain,
( scratc459076401_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f1676,f1030]) ).
fof(f1680,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f1676,f1031]) ).
fof(f1693,definition,
( spl29_2
<=> scratc459076401_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f1695,plain,
( scratc459076401_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1696,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f1679,f1674,f1693]) ).
fof(f1698,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f1700,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_3 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1701,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f1680,f1674,f1698]) ).
fof(f1702,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_3 ),
inference(resolution,[],[f1700,f1257]) ).
fof(f1740,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f1695,f1028]) ).
fof(f1741,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f1740,f1678]) ).
fof(f1743,definition,
( spl29_4
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f1744,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) )
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f1745,plain,
( spl29_4
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f1741,f1693,f1674,f1743]) ).
fof(f1999,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aTP_Lamm_bt))
| pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(resolution,[],[f1744,f1254]) ).
fof(f2097,plain,
( pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f1999,f1034]) ).
fof(f2161,definition,
( spl29_5
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2163,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f2164,plain,
( spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f1678,f1674,f2161]) ).
fof(f2166,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1303091688all_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(f2168,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2166]) ).
fof(f2169,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f1702,f1698,f2166]) ).
fof(f2171,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,[],[f2168,f1029]) ).
fof(f2172,plain,
( scratc459076401_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,[],[f2168,f1030]) ).
fof(f2173,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,[],[f2168,f1031]) ).
fof(f2186,definition,
( spl29_7
<=> scratc459076401_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(f2188,plain,
( scratc459076401_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,[],[f2186]) ).
fof(f2189,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f2172,f2166,f2186]) ).
fof(f2191,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f2193,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f2194,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2173,f2166,f2191]) ).
fof(f2195,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_8 ),
inference(resolution,[],[f2193,f1364]) ).
fof(f2241,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f2243,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f2244,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2195,f2191,f2241]) ).
fof(f2246,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(resolution,[],[f2243,f1029]) ).
fof(f2247,plain,
( scratc459076401_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| spl29_9 ),
inference(resolution,[],[f2243,f1030]) ).
fof(f2248,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_9 ),
inference(resolution,[],[f2243,f1031]) ).
fof(f2261,definition,
( spl29_10
<=> scratc459076401_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f2263,plain,
( scratc459076401_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f2264,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2247,f2241,f2261]) ).
fof(f2269,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f2188,f1028]) ).
fof(f2270,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f2269,f2171]) ).
fof(f2272,definition,
( spl29_11
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f2273,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f2272]) ).
fof(f2274,plain,
( spl29_11
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f2270,f2186,f2166,f2272]) ).
fof(f2690,definition,
( spl29_12
<=> 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_12])],[avatar_definition]) ).
fof(f2692,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f2693,plain,
( spl29_12
| spl29_6 ),
inference(avatar_split_clause,[],[f2171,f2166,f2690]) ).
fof(f2768,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ac) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_5 ),
inference(resolution,[],[f2163,f1514]) ).
fof(f2788,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ac) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_5 ),
inference(forward_demodulation,[],[f2768,f1543]) ).
fof(f2878,definition,
( spl29_15
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f2880,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(avatar_component_clause,[],[f2878]) ).
fof(f2881,plain,
( ~ spl29_15
| spl29_9 ),
inference(avatar_split_clause,[],[f2248,f2241,f2878]) ).
fof(f2882,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_15 ),
inference(resolution,[],[f2880,f1399]) ).
fof(f2883,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(resolution,[],[f2880,f1400]) ).
fof(f2884,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(resolution,[],[f2880,f1401]) ).
fof(f2934,definition,
( spl29_17
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f2936,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_17 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f2937,plain,
( ~ spl29_17
| spl29_15 ),
inference(avatar_split_clause,[],[f2884,f2878,f2934]) ).
fof(f3070,definition,
( spl29_20
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f3072,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_20 ),
inference(avatar_component_clause,[],[f3070]) ).
fof(f3073,plain,
( spl29_20
| spl29_9 ),
inference(avatar_split_clause,[],[f2246,f2241,f3070]) ).
fof(f3078,definition,
( spl29_21
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f3080,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1397778547lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f3078]) ).
fof(f3081,plain,
( spl29_21
| spl29_15 ),
inference(avatar_split_clause,[],[f2882,f2878,f3078]) ).
fof(f3087,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1701480831_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_21 ),
inference(resolution,[],[f3080,f1525]) ).
fof(f3121,definition,
( spl29_22
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1701480831_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f3123,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1701480831_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f3121]) ).
fof(f3124,plain,
( spl29_22
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f3087,f3078,f3121]) ).
fof(f3126,plain,
( ~ pp(scratc1701480831_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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(scratc820132104d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_22 ),
inference(resolution,[],[f3123,f1509]) ).
fof(f3312,definition,
( spl29_26
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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_26])],[avatar_definition]) ).
fof(f3314,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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_26 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f3315,plain,
( spl29_26
| spl29_15 ),
inference(avatar_split_clause,[],[f2883,f2878,f3312]) ).
fof(f3324,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),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_26 ),
inference(resolution,[],[f3314,f1405]) ).
fof(f4638,definition,
( spl29_53
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,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_53])],[avatar_definition]) ).
fof(f4640,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,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_53 ),
inference(avatar_component_clause,[],[f4638]) ).
fof(f4642,definition,
( spl29_54
<=> pp(scratc1701480831_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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_54])],[avatar_definition]) ).
fof(f4644,plain,
( ~ pp(scratc1701480831_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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_54 ),
inference(avatar_component_clause,[],[f4642]) ).
fof(f4645,plain,
( spl29_53
| ~ spl29_54
| ~ spl29_22 ),
inference(avatar_split_clause,[],[f3126,f3121,f4642,f4638]) ).
fof(f4649,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| spl29_54 ),
inference(resolution,[],[f4644,f1570]) ).
fof(f4662,definition,
( spl29_55
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_55])],[avatar_definition]) ).
fof(f4664,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| spl29_55 ),
inference(avatar_component_clause,[],[f4662]) ).
fof(f4665,plain,
( ~ spl29_55
| spl29_54 ),
inference(avatar_split_clause,[],[f4649,f4642,f4662]) ).
fof(f4667,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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_55 ),
inference(resolution,[],[f4664,f1511]) ).
fof(f5377,definition,
( spl29_92
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ac) = X0
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_92])],[avatar_definition]) ).
fof(f5378,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc820132104d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ac) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_92 ),
inference(avatar_component_clause,[],[f5377]) ).
fof(f5379,plain,
( spl29_92
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f2788,f2161,f5377]) ).
fof(f5381,definition,
( spl29_93
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_93])],[avatar_definition]) ).
fof(f5383,plain,
( pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_93 ),
inference(avatar_component_clause,[],[f5381]) ).
fof(f5384,plain,
( spl29_93
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2097,f1743,f5381]) ).
fof(f5608,definition,
( spl29_99
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),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_99])],[avatar_definition]) ).
fof(f5609,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),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(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
| ~ spl29_99 ),
inference(avatar_component_clause,[],[f5608]) ).
fof(f5610,plain,
( spl29_99
| ~ spl29_26 ),
inference(avatar_split_clause,[],[f3324,f3312,f5608]) ).
fof(f6468,plain,
( 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_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_53
| ~ spl29_92 ),
inference(resolution,[],[f4640,f5378]) ).
fof(f6505,plain,
( 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_53
| ~ spl29_92 ),
inference(forward_subsumption_resolution,[],[f6468,f2692]) ).
fof(f6536,definition,
( spl29_142
<=> 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_142])],[avatar_definition]) ).
fof(f6538,plain,
( 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_142 ),
inference(avatar_component_clause,[],[f6536]) ).
fof(f6539,plain,
( spl29_142
| ~ spl29_12
| ~ spl29_53
| ~ spl29_92 ),
inference(avatar_split_clause,[],[f6505,f5377,f4638,f2690,f6536]) ).
fof(f6796,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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)))))))
| ~ scratc459076401_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))))),X1)
| ~ 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(scratc1303091688all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
| ~ spl29_99 ),
inference(resolution,[],[f5609,f1028]) ).
fof(f6831,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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)))))))
| ~ scratc459076401_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))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
| ~ spl29_20
| ~ spl29_99 ),
inference(forward_subsumption_resolution,[],[f6796,f3072]) ).
fof(f8909,definition,
( spl29_211
<=> ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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)))))))
| ~ scratc459076401_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))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_211])],[avatar_definition]) ).
fof(f8910,plain,
( ! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc459076401_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))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
| ~ spl29_211 ),
inference(avatar_component_clause,[],[f8909]) ).
fof(f8911,plain,
( spl29_211
| ~ spl29_20
| ~ spl29_99 ),
inference(avatar_split_clause,[],[f6831,f5608,f3070,f8909]) ).
fof(f8922,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc459076401_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))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(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
| ~ spl29_211 ),
inference(resolution,[],[f8910,f2936]) ).
fof(f8956,plain,
( ! [X0] :
( ~ scratc459076401_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))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(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
| spl29_55
| ~ spl29_211 ),
inference(forward_subsumption_resolution,[],[f8922,f4667]) ).
fof(f8958,definition,
( spl29_212
<=> ! [X0] :
( ~ scratc459076401_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))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(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_212])],[avatar_definition]) ).
fof(f8959,plain,
( ! [X0] :
( ~ scratc459076401_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))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(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_212 ),
inference(avatar_component_clause,[],[f8958]) ).
fof(f8960,plain,
( spl29_212
| spl29_17
| spl29_55
| ~ spl29_211 ),
inference(avatar_split_clause,[],[f8956,f8909,f4662,f2934,f8958]) ).
fof(f8962,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_10
| ~ spl29_212 ),
inference(resolution,[],[f8959,f2263]) ).
fof(f8966,definition,
( spl29_213
<=> pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(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_213])],[avatar_definition]) ).
fof(f8968,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(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_213 ),
inference(avatar_component_clause,[],[f8966]) ).
fof(f8969,plain,
( ~ spl29_213
| ~ spl29_10
| ~ spl29_212 ),
inference(avatar_split_clause,[],[f8962,f8958,f2261,f8966]) ).
fof(f8970,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,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_213 ),
inference(resolution,[],[f8968,f1361]) ).
fof(f11556,definition,
( spl29_265
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,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_265])],[avatar_definition]) ).
fof(f11558,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,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_265 ),
inference(avatar_component_clause,[],[f11556]) ).
fof(f11559,plain,
( ~ spl29_265
| spl29_213 ),
inference(avatar_split_clause,[],[f8970,f8966,f11556]) ).
fof(f11568,plain,
( ~ pp(aa_fun171081125l_bool(scratc1303091688all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_11
| spl29_265 ),
inference(resolution,[],[f11558,f2273]) ).
fof(f11608,plain,
( $false
| ~ spl29_11
| ~ spl29_93
| spl29_265 ),
inference(forward_subsumption_resolution,[],[f11568,f5383]) ).
fof(f11609,plain,
( ~ spl29_11
| ~ spl29_93
| spl29_265 ),
inference(avatar_contradiction_clause,[],[f11608]) ).
fof(f11782,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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,aTP_Lamm_ac)))))
| spl29_17
| ~ spl29_142 ),
inference(superposition,[],[f2936,f6538]) ).
fof(f11791,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc482071225nd_iii,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,aTP_Lamm_ac)))))
| ~ spl29_26
| ~ spl29_142 ),
inference(superposition,[],[f3314,f6538]) ).
fof(f11944,plain,
( $false
| spl29_17
| ~ spl29_26
| ~ spl29_142 ),
inference(forward_subsumption_resolution,[],[f11782,f11791]) ).
fof(f11945,plain,
( spl29_17
| ~ spl29_26
| ~ spl29_142 ),
inference(avatar_contradiction_clause,[],[f11944]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f1677]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f1696]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s4,plain,
( spl29_1
| ~ spl29_2
| spl29_4 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s5,plain,
( spl29_1
| spl29_5 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f2189]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2194]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2244]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f2264]) ).
cnf(s11,plain,
( spl29_6
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s12,plain,
( spl29_6
| spl29_12 ),
inference(sat_conversion,[],[f2693]) ).
cnf(s15,plain,
( spl29_9
| ~ spl29_15 ),
inference(sat_conversion,[],[f2881]) ).
cnf(s17,plain,
( spl29_15
| ~ spl29_17 ),
inference(sat_conversion,[],[f2937]) ).
cnf(s20,plain,
( spl29_9
| spl29_20 ),
inference(sat_conversion,[],[f3073]) ).
cnf(s21,plain,
( spl29_15
| spl29_21 ),
inference(sat_conversion,[],[f3081]) ).
cnf(s22,plain,
( ~ spl29_21
| spl29_22 ),
inference(sat_conversion,[],[f3124]) ).
cnf(s26,plain,
( spl29_15
| spl29_26 ),
inference(sat_conversion,[],[f3315]) ).
cnf(s53,plain,
( ~ spl29_22
| spl29_53
| ~ spl29_54 ),
inference(sat_conversion,[],[f4645]) ).
cnf(s54,plain,
( spl29_54
| ~ spl29_55 ),
inference(sat_conversion,[],[f4665]) ).
cnf(s91,plain,
( ~ spl29_5
| spl29_92 ),
inference(sat_conversion,[],[f5379]) ).
cnf(s92,plain,
( ~ spl29_4
| spl29_93 ),
inference(sat_conversion,[],[f5384]) ).
cnf(s98,plain,
( ~ spl29_26
| spl29_99 ),
inference(sat_conversion,[],[f5610]) ).
cnf(s143,plain,
( ~ spl29_12
| ~ spl29_53
| ~ spl29_92
| spl29_142 ),
inference(sat_conversion,[],[f6539]) ).
cnf(s212,plain,
( ~ spl29_20
| ~ spl29_99
| spl29_211 ),
inference(sat_conversion,[],[f8911]) ).
cnf(s213,plain,
( spl29_17
| spl29_55
| ~ spl29_211
| spl29_212 ),
inference(sat_conversion,[],[f8960]) ).
cnf(s214,plain,
( ~ spl29_10
| ~ spl29_212
| ~ spl29_213 ),
inference(sat_conversion,[],[f8969]) ).
cnf(s267,plain,
( spl29_213
| ~ spl29_265 ),
inference(sat_conversion,[],[f11559]) ).
cnf(s268,plain,
( ~ spl29_11
| ~ spl29_93
| spl29_265 ),
inference(sat_conversion,[],[f11609]) ).
cnf(s288,plain,
( spl29_17
| ~ spl29_26
| ~ spl29_142 ),
inference(sat_conversion,[],[f11945]) ).
cnf(s290,plain,
spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s291,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s292,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s296,plain,
spl29_92,
inference(rat,[],[s91,s290]) ).
cnf(s303,plain,
~ spl29_6,
inference(rat,[],[s6,s291]) ).
cnf(s304,plain,
spl29_4,
inference(rat,[],[s4,s1,s292]) ).
cnf(s309,plain,
spl29_12,
inference(rat,[],[s12,s303]) ).
cnf(s310,plain,
~ spl29_8,
inference(rat,[],[s8,s303]) ).
cnf(s311,plain,
spl29_7,
inference(rat,[],[s7,s303]) ).
cnf(s316,plain,
spl29_93,
inference(rat,[],[s92,s304]) ).
cnf(s349,plain,
~ spl29_9,
inference(rat,[],[s9,s310]) ).
cnf(s350,plain,
spl29_11,
inference(rat,[],[s11,s303,s311]) ).
cnf(s384,plain,
spl29_20,
inference(rat,[],[s20,s349]) ).
cnf(s385,plain,
~ spl29_15,
inference(rat,[],[s15,s349]) ).
cnf(s386,plain,
spl29_10,
inference(rat,[],[s10,s349]) ).
cnf(s387,plain,
spl29_265,
inference(rat,[],[s268,s316,s350]) ).
cnf(s429,plain,
spl29_26,
inference(rat,[],[s26,s385]) ).
cnf(s430,plain,
spl29_21,
inference(rat,[],[s21,s385]) ).
cnf(s431,plain,
~ spl29_17,
inference(rat,[],[s17,s385]) ).
cnf(s434,plain,
spl29_213,
inference(rat,[],[s267,s387]) ).
cnf(s442,plain,
spl29_99,
inference(rat,[],[s98,s429]) ).
cnf(s448,plain,
spl29_22,
inference(rat,[],[s22,s430]) ).
cnf(s449,plain,
~ spl29_142,
inference(rat,[],[s288,s429,s431]) ).
cnf(s491,plain,
~ spl29_212,
inference(rat,[],[s214,s386,s434]) ).
cnf(s493,plain,
spl29_211,
inference(rat,[],[s212,s384,s442]) ).
cnf(s501,plain,
~ spl29_53,
inference(rat,[],[s143,s309,s296,s449]) ).
cnf(s506,plain,
spl29_55,
inference(rat,[],[s213,s491,s431,s493]) ).
cnf(s513,plain,
~ spl29_54,
inference(rat,[],[s53,s448,s501]) ).
cnf(s522,plain,
$false,
inference(rat,[],[s54,s506,s513]) ).
fof(f11946,plain,
$false,
inference(avatar_sat_refutation,[],[s522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM663+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 21:00:26 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 10.43/2.34 % (3309673)Detected formulas, will run a generic FOF schedule.
% 10.43/2.34 % (3309678)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=1162080015:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.43/2.34 % (3309684)dis-21_1_sil=8000:lcm=predicate:random_seed=678975620: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)
% 10.43/2.34 % (3309681)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1215311824:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.43/2.34 % (3309679)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=315790302:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.43/2.34 % (3309682)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=625549274:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.43/2.34 % (3309680)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=3794097830:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.43/2.34 % (3309683)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=722512868:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.43/2.34 % (3309681)Refutation not found, incomplete strategy
% 10.43/2.34 % (3309681)------------------------------
% 10.43/2.34 % (3309681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.34 % (3309681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.34 % (3309681)CaDiCaL version: 2.1.3
% 10.43/2.34 % (3309681)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.34 % (3309681)Time elapsed: 0.002 s
% 10.43/2.34 % (3309681)Peak memory usage: 88 MB
% 10.43/2.34 % (3309681)Instructions burned: 2 (million)
% 10.43/2.34 % (3309682)Refutation not found, incomplete strategy
% 10.43/2.34 % (3309682)------------------------------
% 10.43/2.34 % (3309682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.34 % (3309682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.34 % (3309682)CaDiCaL version: 2.1.3
% 10.43/2.34 % (3309682)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.34 % (3309682)Time elapsed: 0.002 s
% 10.43/2.34 % (3309682)Peak memory usage: 88 MB
% 10.43/2.34 % (3309682)Instructions burned: 2 (million)
% 10.43/2.34 % (3309684)Instruction limit reached!
% 10.43/2.34 % (3309684)------------------------------
% 10.43/2.34 % (3309684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.34 % (3309684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.34 % (3309684)CaDiCaL version: 2.1.3
% 10.43/2.34 % (3309684)Termination reason: Instruction limit
% 10.43/2.34 % (3309684)Termination phase: Saturation
% 10.43/2.34 % (3309684)Time elapsed: 0.077 s
% 10.43/2.34 % (3309684)Peak memory usage: 90 MB
% 10.43/2.34 % (3309684)Instructions burned: 131 (million)
% 10.43/2.34 % (3309683)Instruction limit reached!
% 10.43/2.34 % (3309683)------------------------------
% 10.43/2.34 % (3309683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.34 % (3309683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.34 % (3309683)CaDiCaL version: 2.1.3
% 10.43/2.34 % (3309683)Termination reason: Instruction limit
% 10.43/2.34 % (3309683)Termination phase: Saturation
% 10.43/2.34 % (3309683)Time elapsed: 0.088 s
% 10.43/2.34 % (3309683)Peak memory usage: 90 MB
% 10.43/2.34 % (3309683)Instructions burned: 139 (million)
% 10.43/2.34 % (3309692)lrs+10_1_sil=8000:sp=occurrence:random_seed=1790912469:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.43/2.34 % (3309692)Refutation not found, incomplete strategy
% 10.43/2.34 % (3309692)------------------------------
% 10.43/2.34 % (3309692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.34 % (3309692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.34 % (3309692)CaDiCaL version: 2.1.3
% 10.43/2.34 % (3309692)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.34 % (3309692)Time elapsed: 0.003 s
% 10.43/2.34 % (3309692)Peak memory usage: 88 MB
% 10.43/2.34 % (3309692)Instructions burned: 2 (million)
% 10.43/2.34 % (3309693)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2433621674:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.52/3.36 % (3309693)Refutation not found, incomplete strategy
% 17.52/3.36 % (3309693)------------------------------
% 17.52/3.36 % (3309693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/3.36 % (3309693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.36 % (3309693)CaDiCaL version: 2.1.3
% 17.52/3.36 % (3309693)Termination reason: Refutation not found, incomplete strategy
% 17.52/3.36 % (3309693)Time elapsed: 0.004 s
% 17.52/3.36 % (3309693)Peak memory usage: 88 MB
% 17.52/3.36 % (3309693)Instructions burned: 6 (million)
% 17.52/3.36 % (3309681)------------------------------
% 17.52/3.36 % (3309681)------------------------------
% 17.52/3.36 % (3309682)------------------------------
% 17.52/3.36 % (3309682)------------------------------
% 17.52/3.36 % (3309697)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=4240069556:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.52/3.36 % (3309696)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4034285905:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 17.52/3.36 % (3309696)Refutation not found, incomplete strategy
% 17.52/3.36 % (3309696)------------------------------
% 17.52/3.36 % (3309696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/3.36 % (3309696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.36 % (3309696)CaDiCaL version: 2.1.3
% 17.52/3.36 % (3309696)Termination reason: Refutation not found, incomplete strategy
% 17.52/3.36 % (3309696)Time elapsed: 0.004 s
% 17.52/3.36 % (3309696)Peak memory usage: 89 MB
% 17.52/3.36 % (3309696)Instructions burned: 4 (million)
% 17.52/3.36 % (3309697)Instruction limit reached!
% 17.52/3.36 % (3309697)------------------------------
% 17.52/3.36 % (3309697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/3.36 % (3309697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.36 % (3309697)CaDiCaL version: 2.1.3
% 17.52/3.36 % (3309697)Termination reason: Instruction limit
% 17.52/3.36 % (3309697)Termination phase: Saturation
% 17.52/3.36 % (3309697)Time elapsed: 0.078 s
% 17.52/3.36 % (3309697)Peak memory usage: 93 MB
% 17.52/3.36 % (3309697)Instructions burned: 251 (million)
% 17.52/3.36 % (3309692)------------------------------
% 17.52/3.36 % (3309692)------------------------------
% 17.52/3.36 % (3309693)------------------------------
% 17.52/3.36 % (3309693)------------------------------
% 17.52/3.36 % (3309702)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1424119342:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 17.52/3.36 % (3309700)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3672864258:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 17.52/3.36 % (3309700)Refutation not found, incomplete strategy
% 17.52/3.36 % (3309700)------------------------------
% 17.52/3.36 % (3309700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/3.36 % (3309700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.36 % (3309700)CaDiCaL version: 2.1.3
% 17.52/3.36 % (3309700)Termination reason: Refutation not found, incomplete strategy
% 17.52/3.36 % (3309700)Time elapsed: 0.004 s
% 17.52/3.36 % (3309700)Peak memory usage: 88 MB
% 17.52/3.36 % (3309700)Instructions burned: 5 (million)
% 17.52/3.36 % (3309702)Instruction limit reached!
% 17.52/3.36 % (3309702)------------------------------
% 17.52/3.36 % (3309702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/3.36 % (3309702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.36 % (3309702)CaDiCaL version: 2.1.3
% 17.52/3.36 % (3309702)Termination reason: Instruction limit
% 17.52/3.36 % (3309702)Termination phase: Saturation
% 17.52/3.36 % (3309702)Time elapsed: 0.036 s
% 17.52/3.36 % (3309702)Peak memory usage: 90 MB
% 17.52/3.36 % (3309702)Instructions burned: 115 (million)
% 17.52/3.36 % (3309701)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1747751085:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.52/3.36 % (3309696)------------------------------
% 17.52/3.36 % (3309696)------------------------------
% 17.52/3.36 % (3309705)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3673812651:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 23.48/4.17 % (3309705)Instruction limit reached!
% 23.48/4.17 % (3309705)------------------------------
% 23.48/4.17 % (3309705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309705)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309705)Termination reason: Instruction limit
% 23.48/4.17 % (3309705)Termination phase: Saturation
% 23.48/4.17 % (3309705)Time elapsed: 0.033 s
% 23.48/4.17 % (3309705)Peak memory usage: 89 MB
% 23.48/4.17 % (3309705)Instructions burned: 128 (million)
% 23.48/4.17 % (3309707)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=540533719:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 23.48/4.17 % (3309709)lrs+10_1_sil=8000:sp=occurrence:random_seed=2661009581:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 23.48/4.17 % (3309700)------------------------------
% 23.48/4.17 % (3309700)------------------------------
% 23.48/4.17 % (3309707)Instruction limit reached!
% 23.48/4.17 % (3309707)------------------------------
% 23.48/4.17 % (3309707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309707)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309707)Termination reason: Instruction limit
% 23.48/4.17 % (3309707)Termination phase: Saturation
% 23.48/4.17 % (3309707)Time elapsed: 0.064 s
% 23.48/4.17 % (3309707)Peak memory usage: 89 MB
% 23.48/4.17 % (3309707)Instructions burned: 115 (million)
% 23.48/4.17 % (3309712)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=894117408:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 23.48/4.17 % (3309713)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3599971949:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 23.48/4.17 % (3309712)Refutation not found, incomplete strategy
% 23.48/4.17 % (3309712)------------------------------
% 23.48/4.17 % (3309712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309712)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309712)Termination reason: Refutation not found, incomplete strategy
% 23.48/4.17 % (3309712)Time elapsed: 0.030 s
% 23.48/4.17 % (3309712)Peak memory usage: 90 MB
% 23.48/4.17 % (3309712)Instructions burned: 56 (million)
% 23.48/4.17 % (3309709)Instruction limit reached!
% 23.48/4.17 % (3309709)------------------------------
% 23.48/4.17 % (3309709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309709)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309709)Termination reason: Instruction limit
% 23.48/4.17 % (3309709)Termination phase: Saturation
% 23.48/4.17 % (3309709)Time elapsed: 0.281 s
% 23.48/4.17 % (3309709)Peak memory usage: 99 MB
% 23.48/4.17 % (3309709)Instructions burned: 909 (million)
% 23.48/4.17 % (3309716)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4158918943:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 23.48/4.17 % (3309716)Instruction limit reached!
% 23.48/4.17 % (3309716)------------------------------
% 23.48/4.17 % (3309716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309716)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309716)Termination reason: Instruction limit
% 23.48/4.17 % (3309716)Termination phase: Saturation
% 23.48/4.17 % (3309716)Time elapsed: 0.038 s
% 23.48/4.17 % (3309716)Peak memory usage: 92 MB
% 23.48/4.17 % (3309716)Instructions burned: 137 (million)
% 23.48/4.17 % (3309712)------------------------------
% 23.48/4.17 % (3309712)------------------------------
% 23.48/4.17 % (3309718)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2798522657:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 23.48/4.17 % (3309718)Refutation not found, incomplete strategy
% 23.48/4.17 % (3309718)------------------------------
% 23.48/4.17 % (3309718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309718)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309718)Termination reason: Refutation not found, incomplete strategy
% 23.48/4.17 % (3309718)Time elapsed: 0.009 s
% 23.48/4.17 % (3309718)Peak memory usage: 89 MB
% 23.48/4.17 % (3309718)Instructions burned: 30 (million)
% 23.48/4.17 % (3309719)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=267493994:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 23.48/4.17 % (3309718)------------------------------
% 23.48/4.17 % (3309718)------------------------------
% 23.48/4.17 % (3309722)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=3931603309:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 23.48/4.17 % (3309722)Instruction limit reached!
% 23.48/4.17 % (3309722)------------------------------
% 23.48/4.17 % (3309722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309722)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309722)Termination reason: Instruction limit
% 23.48/4.17 % (3309722)Termination phase: Saturation
% 23.48/4.17 % (3309722)Time elapsed: 0.036 s
% 23.48/4.17 % (3309722)Peak memory usage: 91 MB
% 23.48/4.17 % (3309722)Instructions burned: 127 (million)
% 23.48/4.17 % (3309724)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=411122206:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 23.48/4.17 % (3309724)Instruction limit reached!
% 23.48/4.17 % (3309724)------------------------------
% 23.48/4.17 % (3309724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309724)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309724)Termination reason: Instruction limit
% 23.48/4.17 % (3309724)Termination phase: Saturation
% 23.48/4.17 % (3309724)Time elapsed: 0.038 s
% 23.48/4.17 % (3309724)Peak memory usage: 92 MB
% 23.48/4.17 % (3309724)Instructions burned: 134 (million)
% 23.48/4.17 % (3309726)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1001096557:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 23.48/4.17 % (3309726)Refutation not found, incomplete strategy
% 23.48/4.17 % (3309726)------------------------------
% 23.48/4.17 % (3309726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309726)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309726)Termination reason: Refutation not found, incomplete strategy
% 23.48/4.17 % (3309726)Time elapsed: 0.001 s
% 23.48/4.17 % (3309726)Peak memory usage: 88 MB
% 23.48/4.17 % (3309726)Instructions burned: 2 (million)
% 23.48/4.17 % (3309726)------------------------------
% 23.48/4.17 % (3309726)------------------------------
% 23.48/4.17 % (3309728)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3583453457:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 23.48/4.17 % (3309728)Refutation not found, incomplete strategy
% 23.48/4.17 % (3309728)------------------------------
% 23.48/4.17 % (3309728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309728)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309728)Termination reason: Refutation not found, incomplete strategy
% 23.48/4.17 % (3309728)Time elapsed: 0.002 s
% 23.48/4.17 % (3309728)Peak memory usage: 89 MB
% 23.48/4.17 % (3309728)Instructions burned: 2 (million)
% 23.48/4.17 % (3309701)Instruction limit reached!
% 23.48/4.17 % (3309701)------------------------------
% 23.48/4.17 % (3309701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309701)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309701)Termination reason: Instruction limit
% 23.48/4.17 % (3309701)Termination phase: Saturation
% 23.48/4.17 % (3309701)Time elapsed: 1.594 s
% 23.48/4.17 % (3309701)Peak memory usage: 142 MB
% 23.48/4.17 % (3309701)Instructions burned: 2350 (million)
% 23.48/4.17 % (3309728)------------------------------
% 23.48/4.17 % (3309728)------------------------------
% 23.48/4.17 % (3309730)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=2510734661:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 23.48/4.17 % (3309731)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=3619950777:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 23.48/4.17 % (3309731)Instruction limit reached!
% 23.48/4.17 % (3309731)------------------------------
% 23.48/4.17 % (3309731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.17 % (3309731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.17 % (3309731)CaDiCaL version: 2.1.3
% 23.48/4.17 % (3309731)Termination reason: Instruction limit
% 23.48/4.17 % (3309731)Termination phase: Saturation
% 23.48/4.17 % (3309731)Time elapsed: 0.077 s
% 23.48/4.17 % (3309731)Peak memory usage: 91 MB
% 23.48/4.17 % (3309731)Instructions burned: 150 (million)
% 23.48/4.17 % (3309734)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3111204777:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 23.48/4.17 % (3309680)First to succeed.
% 23.48/4.17 % (3309680)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3309673"
% 23.48/4.17 % (3309680)Refutation found. Thanks to Tanya!
% 23.48/4.17 % SZS status Theorem for theBenchmark
% 23.48/4.17 % SZS output start Proof for theBenchmark
% See solution above
% 23.93/4.37 % (3309680)------------------------------
% 23.93/4.37 % (3309680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.93/4.37 % (3309680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.93/4.37 % (3309680)CaDiCaL version: 2.1.3
% 23.93/4.37 % (3309680)Termination reason: Refutation
% 23.93/4.37 % (3309680)Time elapsed: 2.886 s
% 23.93/4.37 % (3309680)Peak memory usage: 167 MB
% 23.93/4.37 % (3309680)Instructions burned: 4688 (million)
% 23.93/4.37 % (3309680)------------------------------
% 23.93/4.37 % (3309680)------------------------------
% 23.93/4.37 % (3309673)Success in time 3.32 s
% 23.93/4.37 % Vampire exiting
%------------------------------------------------------------------------------