%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : DAT041_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:13:55 PM UTC 2026
% Result : Theorem 3.88s 1.81s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 20 ( 12 ~; 6 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number arithmetic : 10 ( 0 atm; 0 fun; 0 num; 10 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
empty: collection ).
tff(pred_def_1,type,
in: ( collection * $int ) > $o ).
tff(func_def_2,type,
remove: ( collection * $int ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(type_def_5,type,
collection: $tType ).
tff(f2,axiom,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax2) ).
tff(f11,axiom,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(remove(X0,X1)) = count(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax6) ).
tff(f40,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(remove(X0,X1)) = count(X1) ) )
& ( ( count(X1) != count(remove(X0,X1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f42,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(cnf_transformation,[],[f2]) ).
tff(f60,plain,
! [X0: $int,X1: collection] :
( ( count(X1) != count(remove(X0,X1)) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_62,negated_conjecture,
! [X0_int: $int,X0_collection: collection] : in(X0_int,add(X0_int,X0_collection)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_79,negated_conjecture,
! [X0_int: $int,X0_collection: collection] :
( ~ in(X0_int,X0_collection)
| ( count(remove(X0_int,X0_collection)) != count(X0_collection) ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_120,plain,
! [X0_int: $int,X0_collection: collection] :
( ( count(remove(X0_int,X0_collection)) != count(X0_collection) )
| ~ in(X0_int,X0_collection) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
tcf(c_121,plain,
! [X0_int: $int,X0_collection: collection] :
( ~ in(X0_int,X0_collection)
| ( count(remove(X0_int,X0_collection)) != count(X0_collection) ) ),
inference(renaming,[status(thm)],[c_120]) ).
tcf(c_341,plain,
! [X0_int: $int,X0_collection: collection] : ~ in(X0_int,X0_collection),
inference(global_subsumption_just,[status(thm)],[c_121]) ).
tcf(c_420,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT041_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 10:22:14 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running TFA theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 3.88/1.81 % SZS status Started for theBenchmark.p
% 3.88/1.81 ERROR - "ProverProcess:heur/schedule_none:304.99997448921204" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.88/1.81 Fatal error: exception Failure("undefined enum value")
% 3.88/1.81 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --schedule none --sub_typing false --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.67 --show_fool true" --time_out_real 305.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/cpn91_de 2>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/cpn91_de_error
% 3.88/1.81 ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.88/1.81 Fatal error: exception Failure("undefined enum value")
% 3.88/1.81 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 0 --comb_sup_mult 6 --conj_cone_tolerance 1.8969679945890683 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 3.67 --show_fool true" --time_out_real 11.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/i52inrs0 2>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/i52inrs0_error
% 3.88/1.81 ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.88/1.81 Fatal error: exception Failure("undefined enum value")
% 3.88/1.81 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 0 --comb_sup_mult 0 --conj_cone_tolerance 4.0357851670394345 --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 2048 --inst_lit_activity_flag true --inst_lit_sel "[+split;-sign;-depth]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[+age;+num_lits;-age];[-age;-min_def_symb;+bc_imp_inh]]" --inst_passive_queues_freq "[2;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 1.0 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+split;-ground;-depth]" --inst_start_prop_sim_after_learn 3 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 256 --proof_out true --prop_solver_per_cl 16384 --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 8 --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 1.00 --show_fool true" --time_out_real 3.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/8j7tc_r6 2>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/8j7tc_r6_error
% 3.88/1.81 ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.88/1.81 Fatal error: exception Failure("undefined enum value")
% 3.88/1.81 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 4 --comb_sup_mult 6 --conj_cone_tolerance 1.895766803319499 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_pos_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 128 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 13.33 --show_fool true" --time_out_real 40.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/who_c5eb 2>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/who_c5eb_error
% 3.88/1.81 ERROR - "ProverProcess:heur/vip_66020:200.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.88/1.81 Fatal error: exception Failure("undefined enum value")
% 3.88/1.81 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 16 --comb_mode time_based --comb_res_mult 3 --comb_sup_deep_mult 1 --comb_sup_mult 0 --conj_cone_tolerance 2.250068292082666 --demod_completeness_check fastold --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 32 --inst_lit_activity_flag false --inst_lit_sel "[+ground;+num_var]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-num_lits;-has_eq]]" --inst_passive_queues_freq "[512]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.13028534399813618 --inst_solver_per_active 4096 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+non_prol_conj_symb;-depth;-non_prol_conj_symb;+non_prol_conj_symb;+eq]" --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 128 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver true --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 10000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;SubsumptionRes;FullSubsAndRes;ACJoinability;Connectedness]" --sup_fun_splitting false --sup_immed_bw_immed "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;UnitSubsAndRes;Demod;ACDemod;GroundJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint true --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[-min_def_symb;+reachable_state;-age];[-epr];[+horn;-reachable_state;-num_var]]" --sup_passive_queues_freq "[2;5;15]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 12 --sup_score sim --sup_share_max_num_cl 80 --sup_share_score_frac 0.1 --sup_smt_interval 16384 --sup_symb_ordering random --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 1000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 66.67 --show_fool true" --time_out_real 200.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/z1as6tfe 2>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/z1as6tfe_error
% 3.88/1.81 ERROR - "ProverProcess:heur/vip_65511:44.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.88/1.81 Fatal error: exception Failure("undefined enum value")
% 3.88/1.81 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 2 --comb_mode clause_based --comb_sup_deep_mult 3 --comb_sup_mult 0 --conj_cone_tolerance 3.378762210374529 --demod_completeness_check full --demod_use_ground false --extra_neg_conj all_pos --inst_activity_threshold 4 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 8192 --inst_lit_activity_flag true --inst_lit_sel "[-conj_symb;-conj_symb;+conj_symb;+num_var;-non_prol_conj_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-has_eq;-conj_dist];[+ground;-min_def_symb]]" --inst_passive_queues_freq "[5;3]" --inst_prop_sim_given true --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.60162165485836 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-conj_symb;-num_symb;+num_var;-eq;+num_var]" --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 16384 --proof_out true --prop_solver_per_cl 128 --resolution_flag false --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 4 --sup_bw_gjoin_interval 1000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm;FwACDemod;BwACDemod;SMTIncr;SMTSet;BwGjoin]" --sup_input_fixpoint true --sup_iter_deepening 8 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[+next_state;-horn;-epr];[+max_atom_input_occur];[-num_lits;-num_lits]]" --sup_passive_queues_freq "[2;1;5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 16 --sup_smt_interval 8192 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 10000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 14.67 --show_fool true" --time_out_real 44.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/u2tgb0ua 2>> /export/starexec/sandbox2/tmp/iprover_out_t22y2opb/u2tgb0ua_error
% 3.88/1.81 % SZS status Theorem for theBenchmark.p
% 3.88/1.81
% 3.88/1.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.88/1.81
% 3.88/1.81 % ------ iProver source info
% 3.88/1.81
% 3.88/1.81 % git: date: 2026-07-19 20:42:38 +0200
% 3.88/1.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.88/1.81 % git: non_committed_changes: false
% 3.88/1.81
% 3.88/1.81 % ------ Parsing...
% 3.88/1.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.88/1.81
% 3.88/1.81 % ------ Preprocessing... sup_sim: 7 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.88/1.81
% 3.88/1.81 % SZS status Theorem for theBenchmark.p
% 3.88/1.81
% 3.88/1.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.88/1.81
% 3.88/1.81
%------------------------------------------------------------------------------