%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP328_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 01:49:26 PM UTC 2026
% Result : Theorem 15.22s 2.85s
% Output : CNFRefutation 15.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP328_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 18:23:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running TFA theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 15.22/2.85 % SZS status Started for theBenchmark.p
% 15.22/2.85 ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.22/2.85 Fatal error: exception Failure("undefined enum value")
% 15.22/2.85 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_9b2vbrxz/rma0rdgu 2>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/rma0rdgu_error
% 15.22/2.85 ERROR - "ProverProcess:heur/schedule_none:304.9999680519104" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.22/2.85 Fatal error: exception Failure("undefined enum value")
% 15.22/2.85 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_9b2vbrxz/tov165a5 2>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/tov165a5_error
% 15.22/2.85 ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.22/2.85 Fatal error: exception Failure("undefined enum value")
% 15.22/2.85 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_9b2vbrxz/w9w62rcl 2>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/w9w62rcl_error
% 15.22/2.85 ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.22/2.85 Fatal error: exception Failure("undefined enum value")
% 15.22/2.85 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_9b2vbrxz/dnvw65ev 2>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/dnvw65ev_error
% 15.22/2.85 ERROR - "ProverProcess:heur/vip_66020:200.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.22/2.85 Fatal error: exception Failure("undefined enum value")
% 15.22/2.85 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_9b2vbrxz/kt5g2a6e 2>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/kt5g2a6e_error
% 15.22/2.85 ERROR - "ProverProcess:heur/vip_65511:44.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.22/2.85 Fatal error: exception Failure("undefined enum value")
% 15.22/2.85 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_9b2vbrxz/02rstxbk 2>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/02rstxbk_error
% 15.22/2.85 ERROR - "ProverProcess:heur/vip_64741:92.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.22/2.85 Fatal error: exception Failure("undefined enum value")
% 15.22/2.85 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 2 --comb_sup_mult 8 --conj_cone_tolerance 3 --demod_completeness_check fast --demod_use_ground true --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 --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 --inst_to_smt_solver 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 512 --res_to_smt_solver false --resolution_flag false --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 0 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod]" --sup_full_fixpoint true --sup_full_fw "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;LightNorm;ACNormalisation;GroundJoinability]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[UnitSubsAndRes;ACNormalisation]" --sup_immed_fw_main "[UnitSubsAndRes;LightNorm;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[FwDemod;LightNorm]" --sup_input_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACDemod]" --sup_input_fixpoint true --sup_input_fw "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;ACDemod;GroundJoinability]" --sup_input_triv "[Unflattening;SMTSimplify]" --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 12 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 512 --sup_symb_ordering invfreq --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 0 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 30.67 --show_fool true" --time_out_real 92.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/7yfql9ik 2>> /export/starexec/sandbox2/tmp/iprover_out_9b2vbrxz/7yfql9ik_error
% 15.22/2.85 % SZS status Theorem for theBenchmark.p
% 15.22/2.85
% 15.22/2.85 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.22/2.85
% 15.22/2.85 % ------ iProver source info
% 15.22/2.85
% 15.22/2.85 % git: date: 2026-07-19 20:42:38 +0200
% 15.22/2.85 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.22/2.85 % git: non_committed_changes: false
% 15.22/2.85
% 15.22/2.85 % ------ Parsing...
% 15.22/2.85 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 15.22/2.85 % ------ Proving...
% 15.22/2.85 % ------ Problem Properties
% 15.22/2.85
% 15.22/2.85 %
% 15.22/2.85 % clauses 1152
% 15.22/2.85 % conjectures 3
% 15.22/2.85 % EPR 113
% 15.22/2.85 % Horn 633
% 15.22/2.85 % unary 185
% 15.22/2.85 % binary 331
% 15.22/2.85 % lits 3147
% 15.22/2.85 % lits eq 435
% 15.22/2.85 % fd_pure 1
% 15.22/2.85 % fd_pseudo 0
% 15.22/2.85 % fd_cond 8
% 15.22/2.85 % fd_pseudo_cond 95
% 15.22/2.85 % AC symbols 2
% 15.22/2.85
% 15.22/2.85 % ------ Input Options Time Limit: Unbounded
% 15.22/2.85
% 15.22/2.85
% 15.22/2.85 % ------
% 15.22/2.85 % Current options:
% 15.22/2.85 % ------
% 15.22/2.85
% 15.22/2.85
% 15.22/2.85 %
% 15.22/2.85
% 15.22/2.85 % ------ Proving...
% 15.22/2.85 %
% 15.22/2.85
% 15.22/2.85 % SZS status Theorem for theBenchmark.p
% 15.22/2.85
% 15.22/2.85 % SZS output start CNFRefutation for theBenchmark.p
% 15.22/2.85
% 15.22/2.85 tff(func_def_0, type, 'fun_app$p': ('Int_n_fun$' * $int) > 'N$').
% 15.22/2.85 tff(pred_def_1, type, 'member$c': ('N_set$' * 'N_set_set$') > $o).
% 15.22/2.85 tff(pred_def_2, type, 'member$b': ('N$' * 'N_set$') > $o).
% 15.22/2.85 tff(pred_def_3, type, 'member$': ('Int_set$' * 'Int_set_set$') > $o).
% 15.22/2.85 tff(pred_def_4, type, 'less_eq$c': ('Int_set_set$' * 'Int_set_set$') > $o).
% 15.22/2.85 tff(pred_def_5, type, 'fun_app$c': ('Int_set_bool_fun$' * 'Int_set$') > $o).
% 15.22/2.85 tff(pred_def_6, type, 'less_eq$b': ('N_set$' * 'N_set$') > $o).
% 15.22/2.85 tff(pred_def_7, type, 'fun_app$': ('Int_bool_fun$' * $int) > $o).
% 15.22/2.85 tff(pred_def_8, type, 'member$d': ('Int_set_set$' * 'Int_set_set_set$') > $o).
% 15.22/2.85 tff(pred_def_9, type, 'fun_app$d': ('N_bool_fun$' * 'N$') > $o).
% 15.22/2.85 tff(pred_def_10, type, 'fun_app$j': ('Nat_bool_fun$' * 'Nat$') > $o).
% 15.22/2.85 tff(func_def_11, type, 'fun_app$m': ('Int_set_n_fun$' * 'Int_set$') > 'N$').
% 15.22/2.85 tff(func_def_12, type, 'uuc$': 'Int_int_bool_fun_fun$').
% 15.22/2.85 tff(pred_def_13, type, sP0: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_14, type, sP1: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_15, type, sP2: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_16, type, sP3: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_17, type, sP4: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_18, type, sP5: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_19, type, sP6: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_20, type, sP7: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_21, type, sP8: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_22, type, sP9: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_23, type, sP10: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_24, type, sP11: ('N$' * 'N$' * 'N$') > $o).
% 15.22/2.85 tff(pred_def_25, type, sP12: ('N$' * 'N$' * 'N$') > $o).
% 15.22/2.85 tff(pred_def_26, type, sP13: ('N$' * 'N$' * 'N$') > $o).
% 15.22/2.85 tff(pred_def_27, type, sP14: ('N$' * 'N$' * 'N$') > $o).
% 15.22/2.85 tff(pred_def_28, type, sP15: ('N$' * 'N$' * 'N$') > $o).
% 15.22/2.85 tff(pred_def_29, type, sP16: ('N$' * 'N$' * 'N$') > $o).
% 15.22/2.85 tff(pred_def_30, type, sP17: ($int * $int * $int) > $o).
% 15.22/2.85 tff(pred_def_31, type, sP18: ($int * $int * $int) > $o).
% 15.22/2.85 tff(pred_def_32, type, sP19: ($int * $int * $int) > $o).
% 15.22/2.85 tff(pred_def_33, type, sP20: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_34, type, sP21: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_35, type, sP22: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_36, type, sP23: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_37, type, sP24: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_38, type, sP25: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_39, type, sP26: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(pred_def_40, type, sP27: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 15.22/2.85 tff(func_def_41, type, 'minus$a': 'Int_set$' > 'Int_set_int_set_fun$').
% 15.22/2.85 tff(func_def_42, type, 'fun_app$h': ('Int_set_int_set_fun$' * 'Int_set$') > 'Int_set$').
% 15.22/2.85 tff(func_def_43, type, 'less$a': 'Int_set$' > 'Int_set_bool_fun$').
% 15.22/2.85 tff(func_def_44, type, 'less_eq$a': 'Int_set$' > 'Int_set_bool_fun$').
% 15.22/2.85 tff(func_def_45, type, 'fun_app$k': ('N_int_set_fun$' * 'N$') > 'Int_set$').
% 15.22/2.85 tff(func_def_46, type, 'fun_app$q': ('Nat_nat_bool_fun_fun$' * 'Nat$') > 'Nat_bool_fun$').
% 15.22/2.85 tff(func_def_47, type, 'uub$': 'Int_set$' > 'Int_bool_fun$').
% 15.22/2.85 tff(func_def_48, type, 'x$': 'N$').
% 15.22/2.85 tff(func_def_49, type, 'to_nat$': 'N$' > 'Nat$').
% 15.22/2.85 tff(func_def_55, type, sK28: ('Int_bool_fun$' * 'Int_bool_fun$') > $int).
% 15.22/2.85 tff(func_def_56, type, sK29: 'Nat_bool_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_57, type, sK30: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_58, type, sK31: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_59, type, sK32: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_60, type, sK33: 'N_int_set_fun$' > 'N$').
% 15.22/2.85 tff(func_def_61, type, sK34: 'N_int_set_fun$' > 'N$').
% 15.22/2.85 tff(func_def_62, type, sK35: 'Int_int_set_fun$' > $int).
% 15.22/2.85 tff(func_def_63, type, sK36: 'Int_int_set_fun$' > $int).
% 15.22/2.85 tff(func_def_64, type, sK37: 'Int_set_n_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_65, type, sK38: 'Int_set_n_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_66, type, sK39: 'Int_set_int_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_67, type, sK40: 'Int_set_int_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_68, type, sK41: 'Int_set_int_set_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_69, type, sK42: 'Int_set_int_set_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_70, type, sK43: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_71, type, sK44: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_72, type, sK45: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_73, type, sK46: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_74, type, sK47: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_75, type, sK48: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_76, type, sK49: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_77, type, sK50: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_78, type, sK51: 'N_int_set_fun$' > 'N$').
% 15.22/2.85 tff(func_def_79, type, sK52: 'N_int_set_fun$' > 'N$').
% 15.22/2.85 tff(func_def_80, type, sK53: 'Int_int_set_fun$' > $int).
% 15.22/2.85 tff(func_def_81, type, sK54: 'Int_int_set_fun$' > $int).
% 15.22/2.85 tff(func_def_82, type, sK55: 'Int_set_n_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_83, type, sK56: 'Int_set_n_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_84, type, sK57: 'Int_set_int_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_85, type, sK58: 'Int_set_int_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_86, type, sK59: 'Int_set_int_set_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_87, type, sK60: 'Int_set_int_set_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_88, type, sK61: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_89, type, sK62: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_90, type, sK63: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_91, type, sK64: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_92, type, sK65: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_93, type, sK66: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_94, type, sK67: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_95, type, sK68: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_96, type, sK69: 'Int_set_n_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_97, type, sK70: 'Int_set_n_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_98, type, sK71: 'Int_set_int_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_99, type, sK72: 'Int_set_int_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_100, type, sK73: 'Int_set_int_set_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_101, type, sK74: 'Int_set_int_set_fun$' > 'Int_set$').
% 15.22/2.85 tff(func_def_102, type, sK75: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_103, type, sK76: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_104, type, sK77: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_105, type, sK78: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_106, type, sK79: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_107, type, sK80: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_108, type, sK81: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_109, type, sK82: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_110, type, sK83: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_111, type, sK84: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_112, type, sK85: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_113, type, sK86: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_114, type, sK87: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_115, type, sK88: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_116, type, sK89: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_117, type, sK90: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_118, type, sK91: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_119, type, sK92: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_120, type, sK93: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_121, type, sK94: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_122, type, sK95: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_123, type, sK96: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_124, type, sK97: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_125, type, sK98: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_126, type, sK99: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_127, type, sK100: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_128, type, sK101: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_129, type, sK102: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_130, type, sK103: ('Int_set$' * 'Int_set_set$' * 'Int_set_set$') > 'Int_set$').
% 15.22/2.85 tff(func_def_131, type, sK104: ('Int_set$' * 'Int_set_set$' * 'Int_set_set$') > 'Int_set$').
% 15.22/2.85 tff(func_def_132, type, sK105: ('N$' * 'N_set$' * 'N_set$') > 'N$').
% 15.22/2.85 tff(func_def_133, type, sK106: ('N$' * 'N_set$' * 'N_set$') > 'N$').
% 15.22/2.85 tff(func_def_134, type, sK107: ($int * 'Int_set$' * 'Int_set$') > $int).
% 15.22/2.85 tff(func_def_135, type, sK108: ($int * 'Int_set$' * 'Int_set$') > $int).
% 15.22/2.85 tff(func_def_136, type, sK109: ('Nat$' * 'Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_137, type, sK110: ('Nat$' * 'Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_138, type, sK111: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_139, type, sK112: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_140, type, sK113: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_141, type, sK114: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_142, type, sK115: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_143, type, sK116: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_144, type, sK117: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_145, type, sK118: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_146, type, sK119: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_147, type, sK120: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_148, type, sK121: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_149, type, sK122: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_150, type, sK123: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_151, type, sK124: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_152, type, sK125: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_153, type, sK126: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_154, type, sK127: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_155, type, sK128: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_156, type, sK129: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_157, type, sK130: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_158, type, sK131: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_159, type, sK132: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_160, type, sK133: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_161, type, sK134: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_162, type, sK135: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_163, type, sK136: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_164, type, sK137: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_165, type, sK138: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_166, type, sK139: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_167, type, sK140: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_168, type, sK141: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_169, type, sK142: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_170, type, sK143: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_171, type, sK144: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_172, type, sK145: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_173, type, sK146: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_174, type, sK147: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_175, type, sK148: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_176, type, sK149: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_177, type, sK150: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_178, type, sK151: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_179, type, sK152: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_180, type, sK153: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_181, type, sK154: 'Int_int_bool_fun_fun$' > $int).
% 15.22/2.85 tff(func_def_182, type, sK155: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_183, type, sK156: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_184, type, sK157: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_185, type, sK158: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_186, type, sK159: 'N_n_bool_fun_fun$' > 'N$').
% 15.22/2.85 tff(func_def_187, type, sK160: 'N_bool_fun$' > 'N$').
% 15.22/2.85 tff(func_def_188, type, sK161: ('N_bool_fun$' * 'N$') > 'N$').
% 15.22/2.85 tff(func_def_189, type, sK162: 'N_bool_fun$' > 'N$').
% 15.22/2.85 tff(func_def_190, type, sK163: 'N_bool_fun$' > 'N$').
% 15.22/2.85 tff(func_def_191, type, sK164: ('N_bool_fun$' * 'N$') > 'N$').
% 15.22/2.85 tff(func_def_192, type, sK165: 'N_bool_fun$' > 'N$').
% 15.22/2.85 tff(func_def_193, type, sK166: 'N_bool_fun$' > 'N$').
% 15.22/2.85 tff(func_def_194, type, sK167: 'N_bool_fun$' > 'N$').
% 15.22/2.85 tff(func_def_195, type, sK168: $int > $int).
% 15.22/2.85 tff(func_def_196, type, sK169: $int > $int).
% 15.22/2.85 tff(func_def_197, type, sK170: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_198, type, sK171: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_199, type, sK172: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_200, type, sK173: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_201, type, sK174: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_202, type, sK175: 'Nat_bool_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_203, type, sK176: 'Nat_bool_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_204, type, sK177: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_205, type, sK178: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_206, type, sK179: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_207, type, sK180: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_208, type, sK181: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_209, type, sK182: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_210, type, sK183: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_211, type, sK184: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_212, type, sK185: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_213, type, sK186: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_214, type, sK187: ('Nat$' * 'Nat$') > 'Nat$').
% 15.22/2.85 tff(func_def_215, type, sK188: 'Nat_int_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_216, type, sK189: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_217, type, sK190: 'Nat_int_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_218, type, sK191: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_219, type, sK192: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_220, type, sK193: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_221, type, sK194: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_222, type, sK195: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_223, type, sK196: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_224, type, sK197: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_225, type, sK198: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_226, type, sK199: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_227, type, sK200: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_228, type, sK201: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_229, type, sK202: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_230, type, sK203: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_231, type, sK204: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_232, type, sK205: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_233, type, sK206: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_234, type, sK207: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_235, type, sK208: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_236, type, sK209: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_237, type, sK210: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_238, type, sK211: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_239, type, sK212: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_240, type, sK213: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_241, type, sK214: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_242, type, sK215: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_243, type, sK216: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_244, type, sK217: 'Int_n_fun$' > $int).
% 15.22/2.85 tff(func_def_245, type, sK218: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_246, type, sK219: 'N_n_fun$' > 'N$').
% 15.22/2.85 tff(func_def_247, type, sK220: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_248, type, sK221: 'Int_int_fun$' > $int).
% 15.22/2.85 tff(func_def_249, type, sK222: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_250, type, sK223: 'N_int_fun$' > 'N$').
% 15.22/2.85 tff(func_def_251, type, sK224: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_252, type, sK225: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_253, type, sK226: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_254, type, sK227: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_255, type, sK228: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_256, type, sK229: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_257, type, sK230: 'Nat_bool_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_258, type, sK231: 'Nat$' > 'Nat$').
% 15.22/2.85 tff(func_def_259, type, sK232: 'Nat_bool_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_260, type, sK233: 'Nat_nat_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_261, type, sK234: 'Nat_nat_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_262, type, sK235: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_263, type, sK236: 'Nat_int_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_264, type, sK237: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_265, type, sK238: 'Nat_int_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_266, type, sK239: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_267, type, sK240: 'Nat_n_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_268, type, sK241: 'Nat_nat_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_269, type, sK242: 'Nat_nat_fun$' > 'Nat$').
% 15.22/2.85 tff(func_def_270, type, sK243: ('Int_set$' * 'Int_set$') > $int).
% 15.22/2.85 tff(func_def_271, type, sK244: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_272, type, sK245: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.22/2.85 tff(func_def_273, type, sK246: ('Int_set$' * 'Int_set$') > $int).
% 15.22/2.85 tff(func_def_274, type, sK247: ('Int_set$' * 'Int_set$') > $int).
% 15.22/2.85 tff(func_def_275, type, sK248: ('Int_set$' * 'Int_set$') > $int).
% 15.22/2.85 tff(f6,conjecture,(
% 15.22/2.85 ($less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))) => $sum('fun_app$e'('of_nat$','to_nat$'('i$')),0) = 'fun_app$e'('of_nat$','to_nat$'('x$'))) & (~$less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))) => $sum('fun_app$e'('of_nat$','to_nat$'('i$')),$difference('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))) = 'fun_app$e'('of_nat$','to_nat$'('x$')))),
% 15.22/2.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture5)).
% 15.22/2.85
% 15.22/2.85 tff(f7,negated_conjecture,(
% 15.22/2.85 ~(($less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))) => $sum('fun_app$e'('of_nat$','to_nat$'('i$')),0) = 'fun_app$e'('of_nat$','to_nat$'('x$'))) & (~$less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))) => $sum('fun_app$e'('of_nat$','to_nat$'('i$')),$difference('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))) = 'fun_app$e'('of_nat$','to_nat$'('x$'))))),
% 15.22/2.85 inference(negated_conjecture,[status(cth)],[f6])).
% 15.22/2.85
% 15.22/2.85 tff(f18,axiom,(
% 15.22/2.85 'fun_app$d'('fun_app$g'('less_eq$','i$'),'x$')),
% 15.22/2.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom16)).
% 15.22/2.85
% 15.22/2.85 tff(f26,axiom,(
% 15.22/2.85 ! [X0 : 'N$',X1 : 'N$'] : ('fun_app$d'('fun_app$g'('less_eq$',X0),X1) => $lesseq('fun_app$e'('of_nat$','to_nat$'(X0)),'fun_app$e'('of_nat$','to_nat$'(X1))))),
% 15.22/2.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom24)).
% 15.22/2.85
% 15.22/2.85 tff(f100,axiom,(
% 15.22/2.85 ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => $sum(X0,$difference(X1,X0)) = X1)),
% 15.22/2.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom98)).
% 15.22/2.85
% 15.22/2.85 tff(f623,plain,(
% 15.22/2.85 ~(($less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))) => $sum('fun_app$e'('of_nat$','to_nat$'('i$')),0) = 'fun_app$e'('of_nat$','to_nat$'('x$'))) & (~$less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))) => 'fun_app$e'('of_nat$','to_nat$'('x$')) = $sum('fun_app$e'('of_nat$','to_nat$'('i$')),$sum('fun_app$e'('of_nat$','to_nat$'('x$')),$uminus('fun_app$e'('of_nat$','to_nat$'('i$')))))))),
% 15.22/2.85 inference(theory_normalization,[],[f7])).
% 15.22/2.85
% 15.22/2.85 tff(f634,plain,(
% 15.22/2.85 ! [X0 : 'N$',X1 : 'N$'] : ('fun_app$d'('fun_app$g'('less_eq$',X0),X1) => ~$less('fun_app$e'('of_nat$','to_nat$'(X1)),'fun_app$e'('of_nat$','to_nat$'(X0))))),
% 15.22/2.85 inference(theory_normalization,[],[f26])).
% 15.22/2.85
% 15.22/2.85 tff(f666,plain,(
% 15.22/2.85 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => $sum(X0,$sum(X1,$uminus(X0))) = X1)),
% 15.22/2.85 inference(theory_normalization,[],[f100])).
% 15.22/2.85
% 15.22/2.85 tff(f967,plain,(
% 15.22/2.85 ('fun_app$e'('of_nat$','to_nat$'('x$')) != $sum('fun_app$e'('of_nat$','to_nat$'('i$')),0) & $less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))) | ('fun_app$e'('of_nat$','to_nat$'('x$')) != $sum('fun_app$e'('of_nat$','to_nat$'('i$')),$sum('fun_app$e'('of_nat$','to_nat$'('x$')),$uminus('fun_app$e'('of_nat$','to_nat$'('i$'))))) & ~$less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))))),
% 15.22/2.85 inference(ennf_transformation,[],[f623])).
% 15.22/2.85
% 15.22/2.85 tff(f971,plain,(
% 15.22/2.85 ! [X0 : 'N$',X1 : 'N$'] : (~$less('fun_app$e'('of_nat$','to_nat$'(X1)),'fun_app$e'('of_nat$','to_nat$'(X0))) | ~'fun_app$d'('fun_app$g'('less_eq$',X0),X1))),
% 15.22/2.85 inference(ennf_transformation,[],[f634])).
% 15.22/2.85
% 15.22/2.85 tff(f1013,plain,(
% 15.22/2.85 ! [X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,$uminus(X0))) = X1 | $less(X1,X0))),
% 15.22/2.85 inference(ennf_transformation,[],[f666])).
% 15.22/2.85
% 15.22/2.85 tff(f2018,plain,(
% 15.22/2.85 $less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))) | 'fun_app$e'('of_nat$','to_nat$'('x$')) != $sum('fun_app$e'('of_nat$','to_nat$'('i$')),$sum('fun_app$e'('of_nat$','to_nat$'('x$')),$uminus('fun_app$e'('of_nat$','to_nat$'('i$')))))),
% 15.22/2.85 inference(cnf_transformation,[],[f967])).
% 15.22/2.85
% 15.22/2.85 tff(f2047,plain,(
% 15.22/2.85 'fun_app$d'('fun_app$g'('less_eq$','i$'),'x$')),
% 15.22/2.86 inference(cnf_transformation,[],[f18])).
% 15.22/2.86
% 15.22/2.86 tff(f2062,plain,(
% 15.22/2.86 ( ! [X0 : 'N$',X1 : 'N$'] : (~$less('fun_app$e'('of_nat$','to_nat$'(X1)),'fun_app$e'('of_nat$','to_nat$'(X0))) | ~'fun_app$d'('fun_app$g'('less_eq$',X0),X1)) )),
% 15.22/2.86 inference(cnf_transformation,[],[f971])).
% 15.22/2.86
% 15.22/2.86 tff(f2192,plain,(
% 15.22/2.86 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,$uminus(X0))) = X1 | $less(X1,X0)) )),
% 15.22/2.86 inference(cnf_transformation,[],[f1013])).
% 15.22/2.86
% 15.22/2.86 tcf(c_72,negated_conjecture,
% 15.22/2.86 ($sum('fun_app$e'('of_nat$','to_nat$'('i$')),$sum('fun_app$e'('of_nat$','to_nat$'('x$')),$uminus('fun_app$e'('of_nat$','to_nat$'('i$'))))) != 'fun_app$e'('of_nat$','to_nat$'('x$'))|
% 15.22/2.86 $less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))),
% 15.22/2.86 inference(cnf_transformation,[],[f2018])).
% 15.22/2.86
% 15.22/2.86 tcf(c_90,plain,
% 15.22/2.86 ('fun_app$d'('fun_app$g'('less_eq$','i$'),'x$')),
% 15.22/2.86 inference(cnf_transformation,[],[f2047])).
% 15.22/2.86
% 15.22/2.86 tcf(c_100,plain,![X0_'N':'N$',X1_'N':'N$']:
% 15.22/2.86 (~$less('fun_app$e'('of_nat$','to_nat$'(X0_'N')),'fun_app$e'('of_nat$','to_nat$'(X1_'N')))|
% 15.22/2.86 ~'fun_app$d'('fun_app$g'('less_eq$',X1_'N'),X0_'N')),
% 15.22/2.86 inference(cnf_transformation,[],[f2062])).
% 15.22/2.86
% 15.22/2.86 tcf(c_210,plain,![X0_int:$int,X1_int:$int]:
% 15.22/2.86 ($sum(X0_int,$sum(X1_int,$uminus(X0_int))) = X1_int|$less(X1_int,X0_int)),
% 15.22/2.86 inference(cnf_transformation,[],[f2192])).
% 15.22/2.86
% 15.22/2.86 tcf(c_1906,plain,
% 15.22/2.86 ($sum('fun_app$e'('of_nat$','to_nat$'('i$')),$sum('fun_app$e'('of_nat$','to_nat$'('x$')),$uminus('fun_app$e'('of_nat$','to_nat$'('i$'))))) = 'fun_app$e'('of_nat$','to_nat$'('x$'))|
% 15.22/2.86 $less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))),
% 15.22/2.86 inference(instantiation,[status(thm)],[c_210])).
% 15.22/2.86
% 15.22/2.86 tcf(c_2211,negated_conjecture,
% 15.22/2.86 ($less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))),
% 15.22/2.86 inference(global_subsumption_just,[status(thm)],[c_72,c_72,c_1906])).
% 15.22/2.86
% 15.22/2.86 tcf(c_3382,plain,
% 15.22/2.86 (~$less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))|
% 15.22/2.86 ~'fun_app$d'('fun_app$g'('less_eq$','i$'),'x$')),
% 15.22/2.86 inference(instantiation,[status(thm)],[c_100])).
% 15.22/2.86
% 15.22/2.86 tcf(c_3383,plain,
% 15.22/2.86 ($false),
% 15.22/2.86 inference(prop_impl_just,[status(thm)],[c_3382,c_2211,c_90])).
% 15.22/2.86
% 15.22/2.86
% 15.22/2.86 % SZS output end CNFRefutation for theBenchmark.p
% 15.22/2.86
% 15.22/2.86
%------------------------------------------------------------------------------