%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM736+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 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 : Fri Sep 25 02:26:37 PM UTC 2026
% Result : Theorem 83.97s 12.22s
% Output : CNFRefutation 83.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 70 ( 15 unt; 0 def)
% Number of atoms : 181 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 185 ( 74 ~; 73 |; 22 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 123 !; 2 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__lessf) ).
fof(f32,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__moref) ).
fof(f64,axiom,
! [X0] : scratc128556792d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f77,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f78,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f196,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1458855606_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f539,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).
fof(f578,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__179) ).
fof(f581,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__182) ).
fof(f841,conjecture,
pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f842,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f841]) ).
fof(f843,plain,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f842]) ).
fof(f860,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
<=> ! [X2] :
( ~ gg_TPTP_ind(X2)
| ~ scratc1458855606_is_of(X2,X0)
| pp(aa_TPTP_ind_bool(X1,X2)) ) ),
inference(ennf_transformation,[],[f196]) ).
fof(f861,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
<=> ! [X2] :
( ~ gg_TPTP_ind(X2)
| ~ scratc1458855606_is_of(X2,X0)
| pp(aa_TPTP_ind_bool(X1,X2)) ) ),
inference(flattening,[],[f860]) ).
fof(f934,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
<=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ) ),
inference(ennf_transformation,[],[f578]) ).
fof(f937,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ) ),
inference(ennf_transformation,[],[f581]) ).
fof(f1065,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f1066,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f1080,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
| pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) )
& ( ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f1081,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
| pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) )
& ( ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f1144,plain,
! [X0,X1] :
( ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
| ! [X2] :
( ~ gg_TPTP_ind(X2)
| ~ scratc1458855606_is_of(X2,X0)
| pp(aa_TPTP_ind_bool(X1,X2)) ) )
& ( ? [X2] :
( gg_TPTP_ind(X2)
& scratc1458855606_is_of(X2,X0)
& ~ pp(aa_TPTP_ind_bool(X1,X2)) )
| pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f861]) ).
fof(f1145,plain,
! [X0,X1] :
( ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
| ! [X3] :
( ~ gg_TPTP_ind(X3)
| ~ scratc1458855606_is_of(X3,X0)
| pp(aa_TPTP_ind_bool(X1,X3)) ) )
& ( ? [X2] :
( gg_TPTP_ind(X2)
& scratc1458855606_is_of(X2,X0)
& ~ pp(aa_TPTP_ind_bool(X1,X2)) )
| pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
inference(rectify,[],[f1144]) ).
fof(f1146,plain,
! [X0,X1] :
( ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
| ! [X3] :
( ~ gg_TPTP_ind(X3)
| ~ scratc1458855606_is_of(X3,X0)
| pp(aa_TPTP_ind_bool(X1,X3)) ) )
& ( ( gg_TPTP_ind(sK12(X0,X1))
& scratc1458855606_is_of(sK12(X0,X1),X0)
& ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) )
| pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1145]) ).
fof(f1305,plain,
! [X0] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f539]) ).
fof(f1357,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) )
& ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
& ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) )
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1)) ) ),
inference(nnf_transformation,[],[f934]) ).
fof(f1358,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) )
& ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
& ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) )
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1)) ) ),
inference(flattening,[],[f1357]) ).
fof(f1363,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) )
& ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
& ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) )
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f937]) ).
fof(f1364,plain,
! [X0,X1] :
( ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) )
& ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
& ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) )
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f1363]) ).
fof(f1711,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ),
inference(cnf_transformation,[],[f1065]) ).
fof(f1712,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
inference(cnf_transformation,[],[f1066]) ).
fof(f1749,plain,
! [X0] : scratc128556792d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f1772,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f1080]) ).
fof(f1773,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
| pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f1081]) ).
fof(f1962,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1146]) ).
fof(f2476,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f1305]) ).
fof(f2564,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ),
inference(cnf_transformation,[],[f1358]) ).
fof(f2574,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f1364]) ).
fof(f2575,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f1364]) ).
fof(f3187,plain,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f843]) ).
fof(f3194,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ),
inference(definition_unfolding,[],[f1711,f1749,f1749]) ).
fof(f3197,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
inference(definition_unfolding,[],[f1712,f1749,f1749]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
inference(cnf_transformation,[],[f3194]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
inference(cnf_transformation,[],[f3197]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
| ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f1772]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] :
( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f1773]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X1),X0))
| ~ pp(aa_TPTP_ind_bool(X0,sK12(X1,X0))) ),
inference(cnf_transformation,[],[f1962]) ).
tcf(c_821,plain,
! [X0: $i] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f2476]) ).
tcf(c_912,plain,
! [X0: $i,X1: $i] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f2564]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ),
inference(cnf_transformation,[],[f2575]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
inference(cnf_transformation,[],[f2574]) ).
tcf(c_1532,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f3187]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ),
inference(global_subsumption_just,[status(thm)],[c_912,c_139,c_136]) ).
tcf(c_2997,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1_iProver_aa_TPT1791839040TP_ind_2),X0_iProver_aa_TPT1791839040TP_ind_2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)) ),
inference(subtyping,[status(esa)],[c_2797]) ).
tcf(c_3000,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(subtyping,[status(esa)],[c_1532]) ).
tcf(c_3611,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)) ),
inference(subtyping,[status(esa)],[c_920]) ).
tcf(c_3612,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1_iProver_aa_TPT1791839040TP_ind_2),X0_iProver_aa_TPT1791839040TP_ind_2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)) ),
inference(subtyping,[status(esa)],[c_919]) ).
tcf(c_3706,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0_iProver_aa_TPT1791839040TP_ind_2))
| ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0_iProver_aa_TPT1791839040TP_ind_2))) ),
inference(subtyping,[status(esa)],[c_821]) ).
tcf(c_4215,plain,
! [X0_iProver_aa_fun171081125l_bool_2: iProver_aa_fun171081125l_bool_2,X1_iProver_aa_fun171081125l_bool_2: iProver_aa_fun171081125l_bool_2] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X1_iProver_aa_fun171081125l_bool_2),X0_iProver_aa_fun171081125l_bool_2))
| ~ pp(aa_TPTP_ind_bool(X0_iProver_aa_fun171081125l_bool_2,sK12(X1_iProver_aa_fun171081125l_bool_2,X0_iProver_aa_fun171081125l_bool_2))) ),
inference(subtyping,[status(esa)],[c_306]) ).
tcf(c_4439,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0_iProver_aa_TPT1791839040TP_ind_2))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)) ),
inference(subtyping,[status(esa)],[c_82]) ).
tcf(c_4442,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0_iProver_aa_TPT1791839040TP_ind_2)))) ),
inference(subtyping,[status(esa)],[c_79]) ).
tcf(c_5902,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0_iProver_aa_TPT1791839040TP_ind_2))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1_iProver_aa_TPT1791839040TP_ind_2))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)) ),
inference(superposition,[status(thm)],[c_4439,c_2997]) ).
tcf(c_5912,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1_iProver_aa_TPT1791839040TP_ind_2),X0_iProver_aa_TPT1791839040TP_ind_2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)) ),
inference(superposition,[status(thm)],[c_5902,c_4442]) ).
tcf(c_5918,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1_iProver_aa_TPT1791839040TP_ind_2),X0_iProver_aa_TPT1791839040TP_ind_2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)) ),
inference(superposition,[status(thm)],[c_3611,c_5912]) ).
tcf(c_5920,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1_iProver_aa_TPT1791839040TP_ind_2),X0_iProver_aa_TPT1791839040TP_ind_2)),
inference(global_subsumption_just,[status(thm)],[c_5918,c_3612,c_5918]) ).
tcf(c_5921,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)),
inference(renaming,[status(thm)],[c_5920]) ).
tcf(c_24326,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2,X1_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0_iProver_aa_TPT1791839040TP_ind_2),X1_iProver_aa_TPT1791839040TP_ind_2)),
inference(global_subsumption_just,[status(thm)],[c_3611,c_5921]) ).
tcf(c_31182,plain,
! [X0_iProver_aa_fun171081125l_bool_2: iProver_aa_fun171081125l_bool_2,X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] : pp(aa_fun171081125l_bool(scratc1668550563all_of(X0_iProver_aa_fun171081125l_bool_2),aa_TPT43085870d_bool(aTP_Lamm_aa,X0_iProver_aa_TPT1791839040TP_ind_2))),
inference(resolution,[status(thm)],[c_4215,c_24326]) ).
tcf(c_31469,plain,
! [X0_iProver_aa_TPT1791839040TP_ind_2: iProver_aa_TPT1791839040TP_ind_2] : pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0_iProver_aa_TPT1791839040TP_ind_2)),
inference(backward_subsumption_resolution,[status(thm)],[c_3706,c_31182]) ).
tcf(c_31486,plain,
! [X0_iProver_aa_fun171081125l_bool_2: iProver_aa_fun171081125l_bool_2] : pp(aa_fun171081125l_bool(scratc1668550563all_of(X0_iProver_aa_fun171081125l_bool_2),aTP_Lamm_ab)),
inference(resolution,[status(thm)],[c_31469,c_4215]) ).
tcf(c_32770,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3000,c_31486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM736+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Thu Sep 24 05:19:51 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 83.97/12.22 % SZS status Started for theBenchmark.p
% 83.97/12.22 % SZS status Theorem for theBenchmark.p
% 83.97/12.22
% 83.97/12.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 83.97/12.22
% 83.97/12.22 % ------ iProver source info
% 83.97/12.22
% 83.97/12.22 % git: date: 2026-07-19 20:42:38 +0200
% 83.97/12.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 83.97/12.22 % git: non_committed_changes: false
% 83.97/12.22
% 83.97/12.22 % ------ Parsing...
% 83.97/12.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 83.97/12.22
% 83.97/12.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 83.97/12.22
% 83.97/12.22 % ------ Preprocessing...%
% 83.97/12.22
% 83.97/12.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 83.97/12.22 % ------ Proving...
% 83.97/12.22 % ------ Problem Properties
% 83.97/12.22
% 83.97/12.22 %
% 83.97/12.22 % clauses 1476
% 83.97/12.22 % conjectures 1
% 83.97/12.22 % EPR 19
% 83.97/12.22 % Horn 1293
% 83.97/12.22 % unary 288
% 83.97/12.22 % binary 1022
% 83.97/12.22 % lits 2924
% 83.97/12.22 % lits eq 132
% 83.97/12.22 % fd_pure 0
% 83.97/12.22 % fd_pseudo 0
% 83.97/12.22 % fd_cond 4
% 83.97/12.22 % fd_pseudo_cond 9
% 83.97/12.22 % AC symbols 0
% 83.97/12.22
% 83.97/12.22 % ------ Input Options Time Limit: Unbounded
% 83.97/12.22
% 83.97/12.22
% 83.97/12.22 % ------
% 83.97/12.22 % Current options:
% 83.97/12.22 % ------
% 83.97/12.22
% 83.97/12.22
% 83.97/12.22 %
% 83.97/12.22
% 83.97/12.22 % ------ Proving...
% 83.97/12.22 %
% 83.97/12.22
% 83.97/12.22 % SZS status Theorem for theBenchmark.p
% 83.97/12.22
% 83.97/12.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 83.97/12.22
% 83.97/12.22
%------------------------------------------------------------------------------