%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 02:57:17 PM UTC 2026
% Result : Theorem 3.58s 2.20s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 16 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 11 !; 1 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f140,axiom,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow_1) ).
fof(f672,axiom,
! [X0] :
( the_InternalRel(incl_POSet(X0)) = inclusion_order(X0)
& the_carrier(incl_POSet(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_yellow_1) ).
fof(f777,conjecture,
! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f778,negated_conjecture,
~ ! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
inference(negated_conjecture,[status(cth)],[f777]) ).
fof(f781,axiom,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f1198,plain,
? [X0] : powerset(X0) != the_carrier(boole_POSet(X0)),
inference(ennf_transformation,[],[f778]) ).
fof(f2138,plain,
powerset(sK208) != the_carrier(boole_POSet(sK208)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK208]),skolemize(X0,sK208)],[f1198]) ).
fof(f3004,plain,
! [X0] : the_carrier(incl_POSet(X0)) = X0,
inference(cnf_transformation,[],[f672]) ).
fof(f3164,plain,
powerset(sK208) != the_carrier(boole_POSet(sK208)),
inference(cnf_transformation,[],[f2138]) ).
fof(f3168,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[],[f781]) ).
fof(f4060,plain,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
inference(cnf_transformation,[],[f140]) ).
fof(f4943,plain,
! [X0] : boole_POSet(X0) = rel_str_of(powerset(X0),inclusion_order(powerset(X0))),
inference(definition_unfolding,[],[f3168,f4060]) ).
fof(f5068,plain,
! [X0] : the_carrier(rel_str_of(X0,inclusion_order(X0))) = X0,
inference(definition_unfolding,[],[f3004,f4060]) ).
fof(f5103,plain,
powerset(sK208) != the_carrier(rel_str_of(powerset(sK208),inclusion_order(powerset(sK208)))),
inference(definition_unfolding,[],[f3164,f4943]) ).
tcf(c_435,plain,
! [X0: $i] : the_carrier(rel_str_of(X0,inclusion_order(X0))) = X0,
inference(cnf_transformation,[],[f5068]) ).
tcf(c_594,negated_conjecture,
the_carrier(rel_str_of(powerset(sK208),inclusion_order(powerset(sK208)))) != powerset(sK208),
inference(cnf_transformation,[],[f5103]) ).
tcf(c_9718,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_594,c_435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n010.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Thu Sep 24 13:55:28 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.58/2.20 % SZS status Started for theBenchmark.p
% 3.58/2.20 ERROR - "ProverProcess:heur/346297:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 3.58/2.20 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 3.58/2.20 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 2.7380125131254 --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red false --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 1024 --inst_lit_activity_flag true --inst_lit_sel "[+depth;+sign;+num_symb;-split;-eq]" --inst_lit_sel_side cnt --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-num_lits];[-max_atom_input_occur;-ground]]" --inst_passive_queues_freq "[8;50]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.21724605765256222 --inst_solver_per_active 256 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-depth;+non_prol_conj_symb;-split;-ground;+num_var]" --inst_start_prop_sim_after_learn 8 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl true --prep_def_merge_tr_cl true --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim false --prep_sem_filter none --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten false --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 32 --pure_diseq_elim false --resolution_flag false --schedule none --share_sel_clauses false --smt_ac_axioms full --smt_preprocessing true --splitting_cvd true --splitting_cvd_svl false --splitting_grd true --splitting_mode full --splitting_nvd 128 --stats_out none --sub_typing true --subs_bck_mult 0 --sup_full_bw "[Demod]" --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability]" --sup_immed_fw_main "[SubsumptionRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm]" --sup_input_bw "[]" --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 4 --sup_passive_queue_type queue --sup_passive_queues "[[+num_symb]]" --sup_passive_queues_freq "[5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.4432297345384799 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_657khzzc/hp_6km1m 2>> /export/starexec/sandbox/tmp/iprover_out_657khzzc/hp_6km1m_error
% 3.58/2.20 % SZS status Theorem for theBenchmark.p
% 3.58/2.20
% 3.58/2.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.58/2.20
% 3.58/2.20 % ------ iProver source info
% 3.58/2.20
% 3.58/2.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.58/2.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.58/2.20 % git: non_committed_changes: false
% 3.58/2.20
% 3.58/2.20 % ------ Parsing...
% 3.58/2.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.58/2.20
% 3.58/2.20 % ------ Preprocessing...%
% 3.58/2.20
% 3.58/2.20 % SZS status Theorem for theBenchmark.p
% 3.58/2.20
% 3.58/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/2.20
% 3.58/2.20
%------------------------------------------------------------------------------