%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM658+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:16:16 PM UTC 2026
% Result : Theorem 4.79s 1.41s
% Output : Refutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 84 ( 21 unt; 3 def)
% Number of atoms : 229 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 250 ( 105 ~; 110 |; 20 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 98 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,axiom,
! [X0] :
( pp(scratc1337552657_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1302855850nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1302855850nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc95148227_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f151,axiom,
pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aTP_Lamm_bv)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10f) ).
fof(f288,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
<=> pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__39) ).
fof(f291,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__42) ).
fof(f324,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__75) ).
fof(f325,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
<=> ( pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__76) ).
fof(f399,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f400,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f402,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f409,conjecture,
pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f410,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f409]) ).
fof(f411,plain,
~ pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f410]) ).
fof(f428,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc95148227_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f429,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc95148227_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f428]) ).
fof(f501,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))
| ~ pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))) ) ),
inference(ennf_transformation,[],[f324]) ).
fof(f502,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
| ~ pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))) ) ),
inference(ennf_transformation,[],[f325]) ).
fof(f572,plain,
! [X0] :
( ( pp(scratc1337552657_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1302855850nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1302855850nd_imp,X0),fFalse))
| ~ pp(scratc1337552657_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f595,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc95148227_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc95148227_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f429]) ).
fof(f596,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc95148227_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc95148227_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1)) ) ),
inference(rectify,[],[f595]) ).
fof(f597,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc95148227_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc95148227_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f596]) ).
fof(f655,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0)) ) ),
inference(nnf_transformation,[],[f288]) ).
fof(f658,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f291]) ).
fof(f704,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))
& pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))
| ~ pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f501]) ).
fof(f705,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))
& pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))
| ~ pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f704]) ).
fof(f706,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
& pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
| ~ pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ) ),
inference(nnf_transformation,[],[f502]) ).
fof(f707,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
& pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
| ~ pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ) ),
inference(flattening,[],[f706]) ).
fof(f937,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1302855850nd_imp,X0),fFalse))
| ~ pp(scratc1337552657_d_not(X0)) ),
inference(cnf_transformation,[],[f572]) ).
fof(f938,plain,
! [X0] :
( pp(scratc1337552657_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1302855850nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f572]) ).
fof(f939,plain,
scratc1302855850nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1001,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
| ~ scratc95148227_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f1002,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f1003,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1))
| scratc95148227_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f597]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),X1)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f1009,plain,
pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aTP_Lamm_bv)),
inference(cnf_transformation,[],[f151]) ).
fof(f1214,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0)) ),
inference(cnf_transformation,[],[f655]) ).
fof(f1221,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f658]) ).
fof(f1298,plain,
! [X0,X1] :
( pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f705]) ).
fof(f1299,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f705]) ).
fof(f1300,plain,
! [X0,X1] :
( ~ pp(scratc1337552657_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(cnf_transformation,[],[f707]) ).
fof(f1457,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f399]) ).
fof(f1458,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f400]) ).
fof(f1460,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| pp(X0) ),
inference(cnf_transformation,[],[f402]) ).
fof(f1467,plain,
~ pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f411]) ).
fof(f1519,plain,
! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| pp(scratc1337552657_d_not(X0)) ),
inference(definition_unfolding,[],[f938,f939]) ).
fof(f1520,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1337552657_d_not(X0)) ),
inference(definition_unfolding,[],[f937,f939]) ).
fof(f1612,definition,
sF25 = scratc1554520278all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1613,plain,
scratc1554520278all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f1612]) ).
fof(f1614,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1615,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f1614]) ).
fof(f1616,plain,
~ pp(sF26),
inference(definition_folding,[],[f1467,f1615,f1613]) ).
fof(f1667,plain,
! [X0] :
( scratc95148227_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)),aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f1003,f1221]) ).
fof(f1669,plain,
! [X0] :
( scratc95148227_is_of(sK12(aTP_Lamm_a,X0),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(sF25,X0)) ),
inference(superposition,[],[f1003,f1613]) ).
fof(f1671,plain,
! [X0] :
( ~ pp(scratc1337552657_d_not(X0))
| ~ pp(X0)
| pp(fFalse) ),
inference(resolution,[],[f1520,f1458]) ).
fof(f1672,plain,
! [X0] :
( ~ pp(scratc1337552657_d_not(X0))
| ~ pp(X0) ),
inference(forward_subsumption_resolution,[],[f1671,f1457]) ).
fof(f1673,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(resolution,[],[f1672,f1298]) ).
fof(f1684,plain,
! [X0] :
( pp(scratc1337552657_d_not(X0))
| pp(X0) ),
inference(resolution,[],[f1519,f1460]) ).
fof(f1803,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X0),X1)) ),
inference(resolution,[],[f1300,f1684]) ).
fof(f2150,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc95148227_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1009,f1001]) ).
fof(f2980,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| ~ scratc95148227_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0)) ),
inference(resolution,[],[f1214,f1001]) ).
fof(f2986,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167833985moreis,X1),X0))
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X1))
| ~ scratc95148227_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X1),X0)) ),
inference(resolution,[],[f2980,f1803]) ).
fof(f3020,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X1))
| ~ scratc95148227_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1302593447nd_iii,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0)) ),
inference(resolution,[],[f2986,f1673]) ).
fof(f3026,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X1))
| ~ scratc95148227_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ),
inference(forward_subsumption_resolution,[],[f3020,f1299]) ).
fof(f3028,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ scratc95148227_is_of(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_fun171081125l_bool(scratc1554520278all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f3026,f1004]) ).
fof(f3033,plain,
! [X0,X1] :
( ~ scratc95148227_is_of(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_fun171081125l_bool(scratc1554520278all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(forward_subsumption_resolution,[],[f3028,f1002]) ).
fof(f3044,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f3033,f1667]) ).
fof(f3048,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(forward_subsumption_resolution,[],[f3044,f1221]) ).
fof(f3049,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc95148227_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f3048,f2150]) ).
fof(f3056,definition,
( spl27_48
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ scratc95148227_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_48])],[avatar_definition]) ).
fof(f3057,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ scratc95148227_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) )
| ~ spl27_48 ),
inference(avatar_component_clause,[],[f3056]) ).
fof(f3059,plain,
spl27_48,
inference(avatar_split_clause,[],[f3049,f3056]) ).
fof(f3084,plain,
( ! [X0] :
( ~ scratc95148227_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),aTP_Lamm_ab)) )
| ~ spl27_48 ),
inference(resolution,[],[f3057,f1004]) ).
fof(f3088,plain,
( ! [X0] :
( ~ scratc95148227_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1554520278all_of(X0),aTP_Lamm_ab)) )
| ~ spl27_48 ),
inference(forward_subsumption_resolution,[],[f3084,f1002]) ).
fof(f3108,plain,
( pp(aa_fun171081125l_bool(scratc1554520278all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| ~ spl27_48 ),
inference(resolution,[],[f3088,f1669]) ).
fof(f3109,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| ~ spl27_48 ),
inference(forward_demodulation,[],[f3108,f1613]) ).
fof(f3110,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| ~ spl27_48 ),
inference(duplicate_literal_removal,[],[f3109]) ).
fof(f3111,plain,
( pp(sF26)
| ~ spl27_48 ),
inference(forward_demodulation,[],[f3110,f1615]) ).
fof(f3112,plain,
( $false
| ~ spl27_48 ),
inference(forward_subsumption_resolution,[],[f3111,f1616]) ).
fof(f3113,plain,
~ spl27_48,
inference(avatar_contradiction_clause,[],[f3112]) ).
cnf(s47,plain,
spl27_48,
inference(sat_conversion,[],[f3059]) ).
cnf(s52,plain,
~ spl27_48,
inference(sat_conversion,[],[f3113]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s47,s52]) ).
fof(f3114,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM658+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 20:58:43 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.79/1.41 % (2731329)Detected formulas, will run a generic FOF schedule.
% 4.79/1.41 % (2731338)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3466278913:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.79/1.41 % (2731335)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=1643469412:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.79/1.41 % (2731336)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=2760274826:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.79/1.41 % (2731340)dis-21_1_sil=8000:lcm=predicate:random_seed=4070480043: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)
% 4.79/1.41 % (2731334)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=678757661:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.79/1.41 % (2731339)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=424363214:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.79/1.41 % (2731337)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1943517802:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.79/1.41 % (2731337)Refutation not found, incomplete strategy
% 4.79/1.41 % (2731337)------------------------------
% 4.79/1.41 % (2731337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731337)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731337)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.41 % (2731337)Time elapsed: 0.001 s
% 4.79/1.41 % (2731337)Peak memory usage: 88 MB
% 4.79/1.41 % (2731337)Instructions burned: 2 (million)
% 4.79/1.41 % (2731338)Refutation not found, incomplete strategy
% 4.79/1.41 % (2731338)------------------------------
% 4.79/1.41 % (2731338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731338)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731338)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.41 % (2731338)Time elapsed: 0.001 s
% 4.79/1.41 % (2731338)Peak memory usage: 88 MB
% 4.79/1.41 % (2731338)Instructions burned: 2 (million)
% 4.79/1.41 % (2731340)Instruction limit reached!
% 4.79/1.41 % (2731340)------------------------------
% 4.79/1.41 % (2731340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731340)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731340)Termination reason: Instruction limit
% 4.79/1.41 % (2731340)Termination phase: Saturation
% 4.79/1.41 % (2731340)Time elapsed: 0.042 s
% 4.79/1.41 % (2731340)Peak memory usage: 90 MB
% 4.79/1.41 % (2731340)Instructions burned: 130 (million)
% 4.79/1.41 % (2731339)Instruction limit reached!
% 4.79/1.41 % (2731339)------------------------------
% 4.79/1.41 % (2731339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731339)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731339)Termination reason: Instruction limit
% 4.79/1.41 % (2731339)Termination phase: Saturation
% 4.79/1.41 % (2731339)Time elapsed: 0.049 s
% 4.79/1.41 % (2731339)Peak memory usage: 90 MB
% 4.79/1.41 % (2731339)Instructions burned: 141 (million)
% 4.79/1.41 % (2731348)lrs+10_1_sil=8000:sp=occurrence:random_seed=2098642841:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.79/1.41 % (2731348)Refutation not found, incomplete strategy
% 4.79/1.41 % (2731348)------------------------------
% 4.79/1.41 % (2731348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731348)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731348)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.41 % (2731348)Time elapsed: 0.002 s
% 4.79/1.41 % (2731348)Peak memory usage: 88 MB
% 4.79/1.41 % (2731348)Instructions burned: 3 (million)
% 4.79/1.41 % (2731349)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4093297223:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.79/1.41 % (2731349)Refutation not found, incomplete strategy
% 4.79/1.41 % (2731349)------------------------------
% 4.79/1.41 % (2731349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731349)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731349)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.41 % (2731349)Time elapsed: 0.002 s
% 4.79/1.41 % (2731349)Peak memory usage: 88 MB
% 4.79/1.41 % (2731349)Instructions burned: 6 (million)
% 4.79/1.41 % (2731338)------------------------------
% 4.79/1.41 % (2731338)------------------------------
% 4.79/1.41 % (2731337)------------------------------
% 4.79/1.41 % (2731337)------------------------------
% 4.79/1.41 % (2731352)lrs+1011_1_sil=32000:sp=occurrence:random_seed=812251687:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.79/1.41 % (2731353)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=1074465369:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.79/1.41 % (2731352)Refutation not found, incomplete strategy
% 4.79/1.41 % (2731352)------------------------------
% 4.79/1.41 % (2731352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731352)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731352)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.41 % (2731352)Time elapsed: 0.002 s
% 4.79/1.41 % (2731352)Peak memory usage: 89 MB
% 4.79/1.41 % (2731352)Instructions burned: 4 (million)
% 4.79/1.41 % (2731348)------------------------------
% 4.79/1.41 % (2731348)------------------------------
% 4.79/1.41 % (2731349)------------------------------
% 4.79/1.41 % (2731349)------------------------------
% 4.79/1.41 % (2731353)Instruction limit reached!
% 4.79/1.41 % (2731353)------------------------------
% 4.79/1.41 % (2731353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731353)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731353)Termination reason: Instruction limit
% 4.79/1.41 % (2731353)Termination phase: Saturation
% 4.79/1.41 % (2731353)Time elapsed: 0.085 s
% 4.79/1.41 % (2731353)Peak memory usage: 93 MB
% 4.79/1.41 % (2731353)Instructions burned: 250 (million)
% 4.79/1.41 % (2731356)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3990130209:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.79/1.41 % (2731356)Refutation not found, incomplete strategy
% 4.79/1.41 % (2731356)------------------------------
% 4.79/1.41 % (2731356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731356)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731356)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.41 % (2731356)Time elapsed: 0.002 s
% 4.79/1.41 % (2731356)Peak memory usage: 88 MB
% 4.79/1.41 % (2731356)Instructions burned: 5 (million)
% 4.79/1.41 % (2731357)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1641634580:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.79/1.41 % (2731352)------------------------------
% 4.79/1.41 % (2731352)------------------------------
% 4.79/1.41 % (2731358)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3951434452:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.79/1.41 % (2731358)Instruction limit reached!
% 4.79/1.41 % (2731358)------------------------------
% 4.79/1.41 % (2731358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731358)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731358)Termination reason: Instruction limit
% 4.79/1.41 % (2731358)Termination phase: Saturation
% 4.79/1.41 % (2731358)Time elapsed: 0.036 s
% 4.79/1.41 % (2731358)Peak memory usage: 90 MB
% 4.79/1.41 % (2731358)Instructions burned: 113 (million)
% 4.79/1.41 % (2731361)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3313680999:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.79/1.41 % (2731356)------------------------------
% 4.79/1.41 % (2731356)------------------------------
% 4.79/1.41 % (2731361)Instruction limit reached!
% 4.79/1.41 % (2731361)------------------------------
% 4.79/1.41 % (2731361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731361)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731361)Termination reason: Instruction limit
% 4.79/1.41 % (2731361)Termination phase: Saturation
% 4.79/1.41 % (2731361)Time elapsed: 0.034 s
% 4.79/1.41 % (2731361)Peak memory usage: 89 MB
% 4.79/1.41 % (2731361)Instructions burned: 128 (million)
% 4.79/1.41 % (2731363)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3168260361:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.79/1.41 % (2731334)First to succeed.
% 4.79/1.41 % (2731334)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2731329"
% 4.79/1.41 % (2731363)Instruction limit reached!
% 4.79/1.41 % (2731363)------------------------------
% 4.79/1.41 % (2731363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731363)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731363)Termination reason: Instruction limit
% 4.79/1.41 % (2731363)Termination phase: Saturation
% 4.79/1.41 % (2731363)Time elapsed: 0.034 s
% 4.79/1.41 % (2731363)Peak memory usage: 89 MB
% 4.79/1.41 % (2731363)Instructions burned: 114 (million)
% 4.79/1.41 % (2731365)lrs+10_1_sil=8000:sp=occurrence:random_seed=33874011:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 4.79/1.41 % (2731366)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3446633856:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 4.79/1.41 % (2731336)Also succeeded, but the first one will report.
% 4.79/1.41 % (2731366)Refutation not found, incomplete strategy
% 4.79/1.41 % (2731366)------------------------------
% 4.79/1.41 % (2731366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.41 % (2731366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.41 % (2731366)CaDiCaL version: 2.1.3
% 4.79/1.41 % (2731366)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.41 % (2731366)Time elapsed: 0.016 s
% 4.79/1.41 % (2731366)Peak memory usage: 90 MB
% 4.79/1.41 % (2731366)Instructions burned: 54 (million)
% 4.79/1.41 % (2731368)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3783183285:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 4.79/1.41 % (2731335)Also succeeded, but the first one will report.
% 4.79/1.41 % (2731334)Refutation found. Thanks to Tanya!
% 4.79/1.41 % SZS status Theorem for theBenchmark
% 4.79/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 6.43/1.51 % (2731334)------------------------------
% 6.43/1.51 % (2731334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.51 % (2731334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.51 % (2731334)CaDiCaL version: 2.1.3
% 6.43/1.51 % (2731334)Termination reason: Refutation
% 6.43/1.51 % (2731334)Time elapsed: 0.608 s
% 6.43/1.51 % (2731334)Peak memory usage: 139 MB
% 6.43/1.51 % (2731334)Instructions burned: 1646 (million)
% 6.43/1.51 % (2731334)------------------------------
% 6.43/1.51 % (2731334)------------------------------
% 6.43/1.51 % (2731329)Success in time 0.889 s
% 6.43/1.51 % Vampire exiting
%------------------------------------------------------------------------------