%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM782+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 : n017.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 12:16:58 PM UTC 2026
% Result : Theorem 10.02s 2.42s
% Output : Refutation 11.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 30 unt; 4 def)
% Number of atoms : 208 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 196 ( 76 ~; 87 |; 18 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 102 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
scratc1514943856_rt_is = scratc1457507211d_e_is(scratc914770913nd_rat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__rt__is) ).
fof(f122,axiom,
scratc976167572d_n_is = scratc1457507211d_e_is(scratc881724893nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f169,axiom,
! [X0] : scratc1457507211d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f216,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1322675365_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f744,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__232) ).
fof(f972,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__460) ).
fof(f1040,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(scratc1514943856_rt_is,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__528) ).
fof(f1240,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(f1244,conjecture,
pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1245,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f1244]) ).
fof(f1246,plain,
~ pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f1245]) ).
fof(f1263,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1322675365_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f216]) ).
fof(f1264,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1322675365_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1263]) ).
fof(f1419,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(scratc1514943856_rt_is,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X1)) ) ),
inference(ennf_transformation,[],[f1040]) ).
fof(f1420,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(scratc1514943856_rt_is,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X1)) ) ),
inference(flattening,[],[f1419]) ).
fof(f1586,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,[],[f1240]) ).
fof(f1587,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,[],[f1586]) ).
fof(f1670,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1322675365_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1322675365_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1264]) ).
fof(f1671,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1322675365_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1322675365_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1)) ) ),
inference(rectify,[],[f1670]) ).
fof(f1672,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1322675365_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1322675365_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1671]) ).
fof(f1923,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f744]) ).
fof(f2191,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1912896884all_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,[],[f972]) ).
fof(f2300,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(scratc1514943856_rt_is,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1420]) ).
fof(f2301,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(scratc1514943856_rt_is,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f2300]) ).
fof(f2617,plain,
scratc1514943856_rt_is = scratc1457507211d_e_is(scratc914770913nd_rat),
inference(cnf_transformation,[],[f41]) ).
fof(f2730,plain,
scratc976167572d_n_is = scratc1457507211d_e_is(scratc881724893nd_nat),
inference(cnf_transformation,[],[f122]) ).
fof(f2794,plain,
! [X0] : scratc1457507211d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f169]) ).
fof(f2879,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1672]) ).
fof(f2881,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1672]) ).
fof(f3672,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(cnf_transformation,[],[f1923]) ).
fof(f4166,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1912896884all_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(cnf_transformation,[],[f2191]) ).
fof(f4350,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(scratc1514943856_rt_is,X0),X1)) ),
inference(cnf_transformation,[],[f2301]) ).
fof(f4351,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(scratc1514943856_rt_is,X1),X2)) ),
inference(cnf_transformation,[],[f2301]) ).
fof(f4352,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(scratc1514943856_rt_is,X0),X2)) ),
inference(cnf_transformation,[],[f2301]) ).
fof(f4899,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,[],[f1587]) ).
fof(f4903,plain,
~ pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f1246]) ).
fof(f4914,plain,
scratc1514943856_rt_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f2617,f2794]) ).
fof(f4972,plain,
scratc976167572d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f2730,f2794]) ).
fof(f5248,definition,
sF25 = scratc1912896884all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f5249,plain,
scratc1912896884all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f5248]) ).
fof(f5250,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ac),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f5251,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ac) = sF26,
inference(reorient_equations,[],[f5250]) ).
fof(f5252,plain,
~ pp(sF26),
inference(definition_folding,[],[f4903,f5251,f5249]) ).
fof(f5304,plain,
scratc1514943856_rt_is = scratc976167572d_n_is,
inference(forward_demodulation,[],[f4914,f4972]) ).
fof(f5322,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(superposition,[],[f3672,f5249]) ).
fof(f5325,plain,
! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X2))))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X2))) ),
inference(resolution,[],[f4352,f2881]) ).
fof(f5326,plain,
! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc976167572d_n_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X2))))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X2))) ),
inference(forward_demodulation,[],[f5325,f5304]) ).
fof(f5330,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa(X2),X0))))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa(X2),X0))) ),
inference(resolution,[],[f4351,f2881]) ).
fof(f5331,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc976167572d_n_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa(X2),X0))))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa(X2),X0))) ),
inference(forward_demodulation,[],[f5330,f5304]) ).
fof(f5333,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1514943856_rt_is,X0),X1))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X2),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(resolution,[],[f4350,f2881]) ).
fof(f5334,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X2),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc976167572d_n_is,X0),X1)) ),
inference(forward_demodulation,[],[f5333,f5304]) ).
fof(f5336,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc976167572d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f4899,f4972]) ).
fof(f5345,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X1)))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X1))) ),
inference(resolution,[],[f5331,f5326]) ).
fof(f5347,plain,
! [X0,X1] : pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X1))),
inference(duplicate_literal_removal,[],[f5345]) ).
fof(f5367,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc976167572d_n_is,X0),X1)) ),
inference(resolution,[],[f4166,f5334]) ).
fof(f5368,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X0)),
inference(resolution,[],[f4166,f5347]) ).
fof(f5374,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc976167572d_n_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_ab,X0))))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(resolution,[],[f5367,f2881]) ).
fof(f5378,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ab,X1)))
| sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1)) = X1
| ~ gg_TPTP_ind(X1)
| ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1))) ),
inference(resolution,[],[f5374,f5336]) ).
fof(f5379,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ab,X1)))
| sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1)) = X1
| ~ gg_TPTP_ind(X1) ),
inference(forward_subsumption_resolution,[],[f5378,f2879]) ).
fof(f5380,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ gg_TPTP_ind(X0)
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)) = X0 ),
inference(resolution,[],[f5379,f3672]) ).
fof(f5383,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ac))
| sK12(X0,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(X0,aTP_Lamm_ac)))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),aTP_Lamm_ac)) ),
inference(resolution,[],[f5380,f2881]) ).
fof(f5384,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1912896884all_of(X0),aTP_Lamm_ac))
| sK12(X0,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(X0,aTP_Lamm_ac))) ),
inference(forward_subsumption_resolution,[],[f5383,f2879]) ).
fof(f5386,plain,
( pp(aa_fun171081125l_bool(sF25,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))) ),
inference(superposition,[],[f5384,f5249]) ).
fof(f5387,plain,
( pp(sF26)
| sK12(aTP_Lamm_a,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
inference(forward_demodulation,[],[f5386,f5251]) ).
fof(f5388,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))),
inference(forward_subsumption_resolution,[],[f5387,f5252]) ).
fof(f5393,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
inference(superposition,[],[f2881,f5388]) ).
fof(f5394,plain,
pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),
inference(forward_subsumption_resolution,[],[f5393,f5368]) ).
fof(f5398,definition,
( spl27_3
<=> pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f5400,plain,
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f5398]) ).
fof(f5407,definition,
( spl27_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f5408,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl27_5 ),
inference(avatar_component_clause,[],[f5407]) ).
fof(f5409,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f5407]) ).
fof(f5411,plain,
pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),
inference(forward_demodulation,[],[f5394,f5249]) ).
fof(f5422,plain,
spl27_3,
inference(avatar_split_clause,[],[f5411,f5398]) ).
fof(f5423,plain,
( pp(aa_fun171081125l_bool(scratc1912896884all_of(aTP_Lamm_a),aTP_Lamm_ac))
| ~ spl27_5 ),
inference(resolution,[],[f5409,f2881]) ).
fof(f5424,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ac))
| ~ spl27_5 ),
inference(forward_demodulation,[],[f5423,f5249]) ).
fof(f5425,plain,
( pp(sF26)
| ~ spl27_5 ),
inference(forward_demodulation,[],[f5424,f5251]) ).
fof(f5426,plain,
( $false
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f5425,f5252]) ).
fof(f5427,plain,
~ spl27_5,
inference(avatar_contradiction_clause,[],[f5426]) ).
fof(f5431,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl27_3 ),
inference(resolution,[],[f5400,f5322]) ).
fof(f5433,plain,
( $false
| ~ spl27_3
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f5431,f5408]) ).
fof(f5434,plain,
( ~ spl27_3
| spl27_5 ),
inference(avatar_contradiction_clause,[],[f5433]) ).
cnf(s7,plain,
spl27_3,
inference(sat_conversion,[],[f5422]) ).
cnf(s8,plain,
~ spl27_5,
inference(sat_conversion,[],[f5427]) ).
cnf(s9,plain,
( ~ spl27_3
| spl27_5 ),
inference(sat_conversion,[],[f5434]) ).
cnf(s10,plain,
~ spl27_3,
inference(rat,[],[s9,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s10]) ).
fof(f5435,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM782+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 21:18:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 10.02/2.42 % (2944856)Detected formulas, will run a generic FOF schedule.
% 10.02/2.42 % (2944864)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=799991924:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.02/2.42 % (2944864)Refutation not found, incomplete strategy
% 10.02/2.42 % (2944864)------------------------------
% 10.02/2.42 % (2944864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944864)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944864)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.42 % (2944864)Time elapsed: 0.002 s
% 10.02/2.42 % (2944864)Peak memory usage: 89 MB
% 10.02/2.42 % (2944864)Instructions burned: 5 (million)
% 10.02/2.42 % (2944863)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=1532150477:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.02/2.42 % (2944861)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=583477806:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.02/2.42 % (2944862)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=2336766617:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.02/2.42 % (2944867)dis-21_1_sil=8000:lcm=predicate:random_seed=794836615: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)
% 10.02/2.42 % (2944865)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1288091425:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.02/2.42 % (2944866)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2749912823:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.02/2.42 % (2944865)Refutation not found, incomplete strategy
% 10.02/2.42 % (2944865)------------------------------
% 10.02/2.42 % (2944865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944865)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944865)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.42 % (2944865)Time elapsed: 0.006 s
% 10.02/2.42 % (2944865)Peak memory usage: 89 MB
% 10.02/2.42 % (2944865)Instructions burned: 8 (million)
% 10.02/2.42 % (2944867)Instruction limit reached!
% 10.02/2.42 % (2944867)------------------------------
% 10.02/2.42 % (2944867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944867)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944867)Termination reason: Instruction limit
% 10.02/2.42 % (2944867)Termination phase: Saturation
% 10.02/2.42 % (2944867)Time elapsed: 0.056 s
% 10.02/2.42 % (2944867)Peak memory usage: 90 MB
% 10.02/2.42 % (2944867)Instructions burned: 131 (million)
% 10.02/2.42 % (2944866)Instruction limit reached!
% 10.02/2.42 % (2944866)------------------------------
% 10.02/2.42 % (2944866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944866)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944866)Termination reason: Instruction limit
% 10.02/2.42 % (2944866)Termination phase: Saturation
% 10.02/2.42 % (2944866)Time elapsed: 0.064 s
% 10.02/2.42 % (2944866)Peak memory usage: 91 MB
% 10.02/2.42 % (2944866)Instructions burned: 139 (million)
% 10.02/2.42 % (2944864)------------------------------
% 10.02/2.42 % (2944864)------------------------------
% 10.02/2.42 % (2944875)lrs+10_1_sil=8000:sp=occurrence:random_seed=2533860178:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.02/2.42 % (2944877)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1675195343:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.02/2.42 % (2944876)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1938856464:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.02/2.42 % (2944877)Refutation not found, incomplete strategy
% 10.02/2.42 % (2944877)------------------------------
% 10.02/2.42 % (2944877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944877)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944877)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.42 % (2944877)Time elapsed: 0.004 s
% 10.02/2.42 % (2944877)Peak memory usage: 90 MB
% 10.02/2.42 % (2944877)Instructions burned: 9 (million)
% 10.02/2.42 % (2944876)Refutation not found, incomplete strategy
% 10.02/2.42 % (2944876)------------------------------
% 10.02/2.42 % (2944876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944876)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944876)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.42 % (2944876)Time elapsed: 0.010 s
% 10.02/2.42 % (2944876)Peak memory usage: 89 MB
% 10.02/2.42 % (2944876)Instructions burned: 21 (million)
% 10.02/2.42 % (2944865)------------------------------
% 10.02/2.42 % (2944865)------------------------------
% 10.02/2.42 % (2944875)Instruction limit reached!
% 10.02/2.42 % (2944875)------------------------------
% 10.02/2.42 % (2944875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944875)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944875)Termination reason: Instruction limit
% 10.02/2.42 % (2944875)Termination phase: Saturation
% 10.02/2.42 % (2944875)Time elapsed: 0.160 s
% 10.02/2.42 % (2944875)Peak memory usage: 91 MB
% 10.02/2.42 % (2944875)Instructions burned: 286 (million)
% 10.02/2.42 % (2944877)------------------------------
% 10.02/2.42 % (2944877)------------------------------
% 10.02/2.42 % (2944881)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=2306136126:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.02/2.42 % (2944876)------------------------------
% 10.02/2.42 % (2944876)------------------------------
% 10.02/2.42 % (2944883)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1278393782:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.02/2.42 % (2944882)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3965919671:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.02/2.42 % (2944882)Refutation not found, incomplete strategy
% 10.02/2.42 % (2944882)------------------------------
% 10.02/2.42 % (2944882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944882)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944882)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.42 % (2944882)Time elapsed: 0.010 s
% 10.02/2.42 % (2944882)Peak memory usage: 90 MB
% 10.02/2.42 % (2944882)Instructions burned: 15 (million)
% 10.02/2.42 % (2944881)Instruction limit reached!
% 10.02/2.42 % (2944881)------------------------------
% 10.02/2.42 % (2944881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944881)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944881)Termination reason: Instruction limit
% 10.02/2.42 % (2944881)Termination phase: Saturation
% 10.02/2.42 % (2944881)Time elapsed: 0.139 s
% 10.02/2.42 % (2944881)Peak memory usage: 93 MB
% 10.02/2.42 % (2944881)Instructions burned: 249 (million)
% 10.02/2.42 % (2944886)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3308832891:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.02/2.42 % (2944886)Instruction limit reached!
% 10.02/2.42 % (2944886)------------------------------
% 10.02/2.42 % (2944886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944886)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944886)Termination reason: Instruction limit
% 10.02/2.42 % (2944886)Termination phase: Saturation
% 10.02/2.42 % (2944886)Time elapsed: 0.055 s
% 10.02/2.42 % (2944886)Peak memory usage: 91 MB
% 10.02/2.42 % (2944886)Instructions burned: 113 (million)
% 10.02/2.42 % (2944888)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=644447192:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.02/2.42 % (2944882)------------------------------
% 10.02/2.42 % (2944882)------------------------------
% 10.02/2.42 % (2944888)Instruction limit reached!
% 10.02/2.42 % (2944888)------------------------------
% 10.02/2.42 % (2944888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944888)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944888)Termination reason: Instruction limit
% 10.02/2.42 % (2944888)Termination phase: Property scanning
% 10.02/2.42 % (2944888)Time elapsed: 0.058 s
% 10.02/2.42 % (2944888)Peak memory usage: 89 MB
% 10.02/2.42 % (2944888)Instructions burned: 128 (million)
% 10.02/2.42 % (2944890)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1410124030:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.02/2.42 % (2944890)Instruction limit reached!
% 10.02/2.42 % (2944890)------------------------------
% 10.02/2.42 % (2944890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944890)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944890)Termination reason: Instruction limit
% 10.02/2.42 % (2944890)Termination phase: Saturation
% 10.02/2.42 % (2944890)Time elapsed: 0.059 s
% 10.02/2.42 % (2944890)Peak memory usage: 90 MB
% 10.02/2.42 % (2944890)Instructions burned: 115 (million)
% 10.02/2.42 % (2944893)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1226364820:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.02/2.42 % (2944892)lrs+10_1_sil=8000:sp=occurrence:random_seed=3365056399:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.02/2.42 % (2944893)Refutation not found, incomplete strategy
% 10.02/2.42 % (2944893)------------------------------
% 10.02/2.42 % (2944893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.42 % (2944893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.42 % (2944893)CaDiCaL version: 2.1.3
% 10.02/2.42 % (2944893)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.42 % (2944893)Time elapsed: 0.091 s
% 10.02/2.42 % (2944893)Peak memory usage: 93 MB
% 10.02/2.42 % (2944893)Instructions burned: 186 (million)
% 10.02/2.42 % (2944895)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4146342678:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.02/2.42 % (2944883)First to succeed.
% 10.02/2.42 % (2944883)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2944856"
% 10.02/2.42 % (2944861)Also succeeded, but the first one will report.
% 10.02/2.42 % (2944893)------------------------------
% 10.02/2.42 % (2944893)------------------------------
% 10.02/2.42 % (2944862)Also succeeded, but the first one will report.
% 10.02/2.42 % (2944883)Refutation found. Thanks to Tanya!
% 10.02/2.42 % SZS status Theorem for theBenchmark
% 10.02/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 11.35/2.62 % (2944883)------------------------------
% 11.35/2.62 % (2944883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.62 % (2944883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.62 % (2944883)CaDiCaL version: 2.1.3
% 11.35/2.62 % (2944883)Termination reason: Refutation
% 11.35/2.62 % (2944883)Time elapsed: 0.681 s
% 11.35/2.62 % (2944883)Peak memory usage: 160 MB
% 11.35/2.62 % (2944883)Instructions burned: 2108 (million)
% 11.35/2.62 % (2944883)------------------------------
% 11.35/2.62 % (2944883)------------------------------
% 11.35/2.62 % (2944856)Success in time 1.569 s
% 11.35/2.62 % Vampire exiting
%------------------------------------------------------------------------------