%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP404_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 : n020.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 01:49:33 PM UTC 2026
% Result : Theorem 2.11s 1.09s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP404_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 18:33:34 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running TFA theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 2.11/1.09 % SZS status Started for theBenchmark.p
% 2.11/1.09 ERROR - "ProverProcess:heur/schedule_none:304.99998927116394" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.11/1.09 Fatal error: exception Failure("undefined enum value")
% 2.11/1.09 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_qr4z3bc4/4y7tfxr9 2>> /export/starexec/sandbox2/tmp/iprover_out_qr4z3bc4/4y7tfxr9_error
% 2.11/1.09 ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.11/1.09 Fatal error: exception Failure("undefined enum value")
% 2.11/1.09 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_qr4z3bc4/f01t3bo9 2>> /export/starexec/sandbox2/tmp/iprover_out_qr4z3bc4/f01t3bo9_error
% 2.11/1.09 ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.11/1.09 Fatal error: exception Failure("undefined enum value")
% 2.11/1.09 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_qr4z3bc4/yrio867q 2>> /export/starexec/sandbox2/tmp/iprover_out_qr4z3bc4/yrio867q_error
% 2.11/1.09 % SZS status Theorem for theBenchmark.p
% 2.11/1.09
% 2.11/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.11/1.09
% 2.11/1.09 % ------ iProver source info
% 2.11/1.09
% 2.11/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 2.11/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.11/1.09 % git: non_committed_changes: false
% 2.11/1.09
% 2.11/1.09 % ------ Parsing...
% 2.11/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.11/1.09 % ------ Proving...
% 2.11/1.09 % ------ Problem Properties
% 2.11/1.09
% 2.11/1.09 %
% 2.11/1.09 % clauses 1113
% 2.11/1.09 % conjectures 1
% 2.11/1.09 % EPR 161
% 2.11/1.09 % Horn 810
% 2.11/1.09 % unary 225
% 2.11/1.09 % binary 452
% 2.11/1.09 % lits 2635
% 2.11/1.09 % lits eq 358
% 2.11/1.09 % fd_pure 1
% 2.11/1.09 % fd_pseudo 0
% 2.11/1.09 % fd_cond 50
% 2.11/1.09 % fd_pseudo_cond 83
% 2.11/1.09 % AC symbols 1
% 2.11/1.09
% 2.11/1.09 % ------ Input Options Time Limit: Unbounded
% 2.11/1.09
% 2.11/1.09
% 2.11/1.09 % ------
% 2.11/1.09 % Current options:
% 2.11/1.09 % ------
% 2.11/1.09
% 2.11/1.09
% 2.11/1.09 %
% 2.11/1.09
% 2.11/1.09 % ------ Proving...
% 2.11/1.09 %
% 2.11/1.09
% 2.11/1.09 % SZS status Theorem for theBenchmark.p
% 2.11/1.09
% 2.11/1.09 % SZS output start CNFRefutation for theBenchmark.p
% 2.11/1.09
% 2.11/1.09 tff(func_def_0, type, 'uvs$': 'Int_set_int_bool_fun_fun$').
% 2.11/1.09 tff(pred_def_1, type, 'fun_app$d': ('Nat_set_set_bool_fun$' * 'Nat_set_set$') > $o).
% 2.11/1.09 tff(pred_def_2, type, 'less$e': ('Nat_bool_fun$' * 'Nat_bool_fun$') > $o).
% 2.11/1.09 tff(pred_def_3, type, 'less$f': ('Int_bool_fun$' * 'Int_bool_fun$') > $o).
% 2.11/1.09 tff(func_def_4, type, 'finite$b': 'Nat_set_set_bool_fun$').
% 2.11/1.09 tff(pred_def_5, type, 'contracting$': ('Nat_nat_fun$' * 'A_run$' * 'A_run$' * 'Nat_nat_fun$') > $o).
% 2.11/1.09 tff(pred_def_6, type, 'fun_app$': ('Nat_bool_fun$' * 'Nat$') > $o).
% 2.11/1.09 tff(pred_def_7, type, 'fun_app$h': ('Int_set_bool_fun$' * 'Int_set$') > $o).
% 2.11/1.09 tff(pred_def_8, type, 'member$d': ('Nat_bool_fun$' * 'Nat_bool_fun_set$') > $o).
% 2.11/1.09 tff(pred_def_9, type, 'finite$f': 'Nat_bool_fun_set$' > $o).
% 2.11/1.09 tff(pred_def_10, type, 'fun_app$e': ('Int_set_set_bool_fun$' * 'Int_set_set$') > $o).
% 2.11/1.09 tff(pred_def_11, type, 'dense_run$': 'A_run$' > $o).
% 2.11/1.09 tff(pred_def_12, type, 'fun_app$f': ('Nat_set_bool_fun$' * 'Nat_set$') > $o).
% 2.11/1.09 tff(pred_def_13, type, 'dilating$': ('Nat_nat_fun$' * 'A_run$' * 'A_run$') > $o).
% 2.11/1.09 tff(pred_def_14, type, 'less_eq$g': (tlbool * tlbool) > $o).
% 2.11/1.09 tff(pred_def_15, type, 'finite$d': 'Int_set_set_set$' > $o).
% 2.11/1.09 tff(pred_def_16, type, 'less_eq$f': ('Int_bool_fun$' * 'Int_bool_fun$') > $o).
% 2.11/1.09 tff(pred_def_17, type, 'finite$e': 'Nat_set_set_set$' > $o).
% 2.11/1.09 tff(pred_def_18, type, 'less_eq$e': ('Nat_bool_fun$' * 'Nat_bool_fun$') > $o).
% 2.11/1.09 tff(pred_def_19, type, 'fun_app$i': ('Int_bool_fun$' * $int) > $o).
% 2.11/1.09 tff(func_def_20, type, 'tick_count_strict$': ('A_run$' * 'Clock$') > 'Nat_nat_fun$').
% 2.11/1.09 tff(func_def_21, type, 'uvd$': ('Nat_set_set$' * 'Nat_set_bool_fun$') > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(pred_def_22, type, sP0: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 2.11/1.09 tff(pred_def_23, type, sP1: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 2.11/1.09 tff(pred_def_24, type, sP2: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 2.11/1.09 tff(pred_def_25, type, sP3: ($int * $int * $int) > $o).
% 2.11/1.09 tff(pred_def_26, type, sP4: ($int * $int * $int) > $o).
% 2.11/1.09 tff(pred_def_27, type, sP5: ($int * $int * $int) > $o).
% 2.11/1.09 tff(func_def_28, type, 'member$': 'Nat_set$' > 'Nat_set_set_bool_fun$').
% 2.11/1.09 tff(func_def_29, type, 'finite$c': 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_30, type, 'fun_app$m': ('Int_int_set_bool_fun_fun$' * $int) > 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_31, type, 'g$': 'Nat_nat_fun$').
% 2.11/1.09 tff(func_def_32, type, 'bot$h': 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_33, type, 'n$': 'Nat$').
% 2.11/1.09 tff(func_def_34, type, 'uvp$': 'Nat_bool_fun$' > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_35, type, 'less$a': 'Nat_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_36, type, 'uvh$': 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_37, type, 'uuq$': 'Nat_set$' > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_38, type, 'fun_app$a': ('Nat_nat_bool_fun_fun$' * 'Nat$') > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_39, type, 'uus$': ('Nat_set$' * 'Nat_nat_bool_fun_fun$') > 'Nat_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_40, type, def_7: ('Nat_bool_fun$' * 'Nat$') > tlbool).
% 2.11/1.09 tff(func_def_41, type, 'fun_app$o': ('Int_set_nat_bool_fun_fun$' * 'Int_set$') > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_42, type, 'arg_min_on$a': ('Nat_int_fun$' * 'Nat_set$') > 'Nat$').
% 2.11/1.09 tff(func_def_43, type, 'less$b': 'Int_set_set$' > 'Int_set_set_bool_fun$').
% 2.11/1.09 tff(func_def_44, type, 'collect$d': 'Int_set_set_bool_fun$' > 'Int_set_set_set$').
% 2.11/1.09 tff(func_def_45, type, 'of_nat$': 'Nat_int_fun$').
% 2.11/1.09 tff(func_def_46, type, 'bot$': 'Nat_set$').
% 2.11/1.09 tff(func_def_47, type, 'uuc$': ('Int_set_bool_fun$' * 'Int_set_bool_fun$') > 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_48, type, 'of_int$': 'Int_int_fun$').
% 2.11/1.09 tff(func_def_49, type, 'uuk$': 'Int_set_set$' > 'Int_set_set_bool_fun$').
% 2.11/1.09 tff(func_def_50, type, 'bot$b': 'Nat_set_set$').
% 2.11/1.09 tff(func_def_51, type, 'bot$a': 'Int_set_set$').
% 2.11/1.09 tff(func_def_52, type, 'uue$': ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_53, type, def_1: ('Nat_bool_fun$' * 'Nat$') > tlbool).
% 2.11/1.09 tff(func_def_54, type, 'ordering_top$': ('Nat_set_nat_set_bool_fun_fun$' * 'Nat_set_nat_set_bool_fun_fun$') > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_55, type, 'uum$': 'Nat_set_nat_set_bool_fun_fun$').
% 2.11/1.09 tff(func_def_56, type, 'uminus$': 'Nat_set$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_57, type, 'fun_app$n': ('Nat_int_set_bool_fun_fun$' * 'Nat$') > 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_58, type, 'uua$': 'Nat_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_59, type, 'finite$': 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_60, type, 'fun_app$s': ('Int_int_fun$' * $int) > $int).
% 2.11/1.09 tff(func_def_61, type, tltrue: tlbool).
% 2.11/1.09 tff(func_def_62, type, def_8: ('Nat_bool_fun$' * 'Nat$') > tlbool).
% 2.11/1.09 tff(func_def_63, type, def_6: ('Nat_bool_fun$' * 'Nat$') > tlbool).
% 2.11/1.09 tff(func_def_64, type, 'r$': 'A_run$').
% 2.11/1.09 tff(func_def_65, type, 'uminus$b': 'Int_set$' > 'Int_set$').
% 2.11/1.09 tff(func_def_66, type, 'fun_app$g': ('Nat_set_nat_set_bool_fun_fun$' * 'Nat_set$') > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_67, type, 'uuh$': ('Nat_set_bool_fun$' * 'Nat_set_bool_fun$') > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_68, type, 'uub$': 'Nat_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_69, type, 'collect$e': 'Nat_set_set_bool_fun$' > 'Nat_set_set_set$').
% 2.11/1.09 tff(func_def_70, type, 'uvb$': ('Int_set_set$' * 'Int_set_int_bool_fun_fun$') > 'Int_int_set_bool_fun_fun$').
% 2.11/1.09 tff(func_def_71, type, 'uvg$': 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_72, type, 'less$c': 'Nat_set_set$' > 'Nat_set_set_bool_fun$').
% 2.11/1.09 tff(func_def_73, type, 'f$': 'Nat_nat_fun$').
% 2.11/1.09 tff(func_def_74, type, 'arg_min_on$': ('Int_int_fun$' * 'Int_set$') > $int).
% 2.11/1.09 tff(func_def_75, type, 'less_eq$d': 'Nat_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_76, type, 'collect$': 'Nat_bool_fun$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_77, type, 'sub$': 'A_run$').
% 2.11/1.09 tff(func_def_78, type, 'less_eq$c': 'Int_set$' > 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_79, type, 'fun_app$l': ('Int_set_int_bool_fun_fun$' * 'Int_set$') > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_80, type, 'member$c': 'Int_int_set_bool_fun_fun$').
% 2.11/1.09 tff(func_def_81, type, 'uut$': ('Nat_set$' * 'Nat_int_bool_fun_fun$') > 'Int_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_82, type, 'fun_app$k': ('Nat_nat_set_bool_fun_fun$' * 'Nat$') > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_83, type, 'uuy$': ('Int_set$' * 'Int_int_set_bool_fun_fun$') > 'Int_set_int_bool_fun_fun$').
% 2.11/1.09 tff(func_def_84, type, 'less_eq$b': 'Nat_set$' > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_85, type, 'bot$g': 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_86, type, 'fun_app$c': ('Nat_nat_fun$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_87, type, 'bot$d': 'Nat_bool_fun_set$').
% 2.11/1.09 tff(func_def_88, type, 'uvf$': ('Int_set$' * 'Int_bool_fun$') > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_89, type, 'less_eq$': 'Nat_set_set$' > 'Nat_set_set_bool_fun$').
% 2.11/1.09 tff(func_def_90, type, 'bot$c': 'Int_set$').
% 2.11/1.09 tff(func_def_91, type, 'uuf$': ('Int_bool_fun$' * 'Int_bool_fun$') > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_92, type, def_4: ('Nat_bool_fun$' * 'Nat$') > tlbool).
% 2.11/1.09 tff(func_def_93, type, 'fun_app$j': ('Int_int_bool_fun_fun$' * $int) > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_94, type, 'uminus$a': 'Nat_bool_fun$' > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_95, type, 'uug$': ('Int_set_bool_fun$' * 'Int_set_bool_fun$') > 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_96, type, 'uuz$': ('Int_set$' * 'Int_nat_set_bool_fun_fun$' * 'Nat_set$') > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_97, type, 'dil_inverse$': 'Nat_nat_fun$' > 'Nat_nat_fun$').
% 2.11/1.09 tff(func_def_98, type, tlfalse: tlbool).
% 2.11/1.09 tff(func_def_99, type, 'nat$': $int > 'Nat$').
% 2.11/1.09 tff(func_def_100, type, 'fun_app$p': ('Int_nat_bool_fun_fun$' * $int) > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_101, type, 'uvn$': $int > 'Int_int_bool_fun_fun$').
% 2.11/1.09 tff(func_def_102, type, 'uvq$': 'Int_bool_fun$' > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_103, type, 'finite$a': 'Int_set_set_bool_fun$').
% 2.11/1.09 tff(func_def_104, type, 'uun$': 'Int_set$' > 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_105, type, 'uvk$': 'Nat_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_106, type, def_2: ('Nat_bool_fun$' * 'Nat$') > tlbool).
% 2.11/1.09 tff(func_def_107, type, 'fun_app$q': ('Nat_int_bool_fun_fun$' * 'Nat$') > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_108, type, 'member$b': 'Nat_nat_set_bool_fun_fun$').
% 2.11/1.09 tff(func_def_109, type, 'uud$': ('Nat_set_bool_fun$' * 'Nat_set_bool_fun$') > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_110, type, 'uve$': ('Nat_set$' * 'Nat_bool_fun$') > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_111, type, 'collect$b': 'Nat_set_bool_fun$' > 'Nat_set_set$').
% 2.11/1.09 tff(func_def_112, type, 'fun_app$r': ('Int_nat_set_bool_fun_fun$' * $int) > 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_113, type, 'uuj$': ('Int_bool_fun$' * 'Int_bool_fun$') > 'Int_bool_fun$').
% 2.11/1.09 tff(func_def_114, type, 'uvc$': ('Int_set_set$' * 'Int_set_bool_fun$') > 'Int_set_bool_fun$').
% 2.11/1.09 tff(func_def_115, type, 'fun_app$b': ('Nat_int_fun$' * 'Nat$') > $int).
% 2.11/1.09 tff(func_def_116, type, 'uuu$': ('Int_set$' * 'Int_nat_bool_fun_fun$') > 'Nat_int_bool_fun_fun$').
% 2.11/1.09 tff(func_def_117, type, 'dbl_dec$': 'Int_int_fun$').
% 2.11/1.09 tff(func_def_118, type, 'uu$': 'Nat_nat_bool_fun_fun$').
% 2.11/1.09 tff(func_def_119, type, 'uur$': 'Int_set_int_bool_fun_fun$').
% 2.11/1.09 tff(func_def_120, type, def_3: ('Nat_bool_fun$' * 'Nat$') > tlbool).
% 2.11/1.09 tff(func_def_121, type, 'uul$': 'Nat_set_set$' > 'Nat_set_set_bool_fun$').
% 2.11/1.09 tff(func_def_122, type, 'uuv$': ('Int_set$' * 'Int_int_bool_fun_fun$') > 'Int_int_bool_fun_fun$').
% 2.11/1.09 tff(func_def_123, type, 'bot$i': 'Nat_set_bool_fun$').
% 2.11/1.09 tff(func_def_124, type, 'uui$': ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat_bool_fun$').
% 2.11/1.09 tff(func_def_129, type, sK6: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_130, type, sK7: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_131, type, sK8: ('Nat_nat_fun$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_132, type, sK9: ('Nat_nat_fun$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_133, type, sK10: 'Int_set_set_bool_fun$' > 'Int_set_set$').
% 2.11/1.09 tff(func_def_134, type, sK11: 'Nat_set_set_bool_fun$' > 'Nat_set_set$').
% 2.11/1.09 tff(func_def_135, type, sK12: 'Nat_set_bool_fun$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_136, type, sK13: 'Int_set_bool_fun$' > 'Int_set$').
% 2.11/1.09 tff(func_def_137, type, sK14: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_138, type, sK15: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_139, type, sK16: ('Int_set_bool_fun$' * 'Int_set_bool_fun$') > 'Int_set$').
% 2.11/1.09 tff(func_def_140, type, sK17: ('Nat_set_bool_fun$' * 'Nat_set_bool_fun$') > 'Nat_set$').
% 2.11/1.09 tff(func_def_141, type, sK18: ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_142, type, sK19: ('Int_bool_fun$' * 'Int_bool_fun$') > $int).
% 2.11/1.09 tff(func_def_143, type, sK20: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_144, type, sK21: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_145, type, sK22: ('Nat_set$' * 'Nat_set$' * 'Nat_nat_bool_fun_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_146, type, sK23: ('Nat_set$' * 'Nat_set$' * 'Nat_nat_bool_fun_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_147, type, sK24: ('Nat_set$' * 'Int_set$' * 'Nat_int_bool_fun_fun$') > $int).
% 2.11/1.09 tff(func_def_148, type, sK25: ('Nat_set$' * 'Int_set$' * 'Nat_int_bool_fun_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_149, type, sK26: ('Int_set$' * 'Nat_set$' * 'Int_nat_bool_fun_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_150, type, sK27: ('Int_set$' * 'Nat_set$' * 'Int_nat_bool_fun_fun$') > $int).
% 2.11/1.09 tff(func_def_151, type, sK28: ('Int_set$' * 'Int_set$' * 'Int_int_bool_fun_fun$') > $int).
% 2.11/1.09 tff(func_def_152, type, sK29: ('Int_set$' * 'Int_set$' * 'Int_int_bool_fun_fun$') > $int).
% 2.11/1.09 tff(func_def_153, type, sK30: ('Nat_set$' * 'Int_set_set$' * 'Nat_int_set_bool_fun_fun$') > 'Int_set$').
% 2.11/1.09 tff(func_def_154, type, sK31: ('Nat_set$' * 'Int_set_set$' * 'Nat_int_set_bool_fun_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_155, type, sK32: ('Nat_set$' * 'Nat_set_set$' * 'Nat_nat_set_bool_fun_fun$') > 'Nat_set$').
% 2.11/1.09 tff(func_def_156, type, sK33: ('Nat_set$' * 'Nat_set_set$' * 'Nat_nat_set_bool_fun_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_157, type, sK34: ('Int_set$' * 'Int_set_set$' * 'Int_int_set_bool_fun_fun$') > 'Int_set$').
% 2.11/1.09 tff(func_def_158, type, sK35: ('Int_set$' * 'Int_set_set$' * 'Int_int_set_bool_fun_fun$') > $int).
% 2.11/1.09 tff(func_def_159, type, sK36: ('Int_set$' * 'Nat_set_set$' * 'Int_nat_set_bool_fun_fun$') > 'Nat_set$').
% 2.11/1.09 tff(func_def_160, type, sK37: ('Int_set$' * 'Nat_set_set$' * 'Int_nat_set_bool_fun_fun$') > $int).
% 2.11/1.09 tff(func_def_161, type, sK38: ('Int_set_set$' * 'Nat_set$' * 'Int_set_nat_bool_fun_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_162, type, sK39: ('Int_set_set$' * 'Nat_set$' * 'Int_set_nat_bool_fun_fun$') > 'Int_set$').
% 2.11/1.09 tff(func_def_163, type, sK40: ('Int_set_set$' * 'Int_set$' * 'Int_set_int_bool_fun_fun$') > $int).
% 2.11/1.09 tff(func_def_164, type, sK41: ('Int_set_set$' * 'Int_set$' * 'Int_set_int_bool_fun_fun$') > 'Int_set$').
% 2.11/1.09 tff(func_def_165, type, sK42: 'Int_set_bool_fun$' > 'Int_set$').
% 2.11/1.09 tff(func_def_166, type, sK43: 'Nat_set_bool_fun$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_167, type, sK44: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_168, type, sK45: 'Int_bool_fun$' > $int).
% 2.11/1.09 tff(func_def_169, type, sK46: ('Int_set_set$' * 'Int_set$') > 'Int_set$').
% 2.11/1.09 tff(func_def_170, type, sK47: ('Nat_set_set$' * 'Nat_set$') > 'Nat_set$').
% 2.11/1.09 tff(func_def_171, type, sK48: ('Nat_set$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_172, type, sK49: ('Int_set$' * $int) > $int).
% 2.11/1.09 tff(func_def_173, type, sK50: ('Int_set_set$' * 'Int_set$') > 'Int_set$').
% 2.11/1.09 tff(func_def_174, type, sK51: ('Nat_set_set$' * 'Nat_set$') > 'Nat_set$').
% 2.11/1.09 tff(func_def_175, type, sK52: ('Nat_set$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_176, type, sK53: ('Int_set$' * $int) > $int).
% 2.11/1.09 tff(func_def_177, type, sK54: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_178, type, sK55: 'Nat_nat_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_179, type, sK56: 'Nat_nat_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_180, type, sK57: 'Int_set_set$' > 'Int_set$').
% 2.11/1.09 tff(func_def_181, type, sK58: 'Nat_set_set$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_182, type, sK59: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_183, type, sK60: 'Int_set$' > $int).
% 2.11/1.09 tff(func_def_184, type, sK61: 'Int_set_set$' > 'Int_set$').
% 2.11/1.09 tff(func_def_185, type, sK62: 'Nat_set_set$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_186, type, sK63: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_187, type, sK64: 'Int_set$' > $int).
% 2.11/1.09 tff(func_def_188, type, sK65: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_189, type, sK66: 'Int_set_set$' > 'Int_set$').
% 2.11/1.09 tff(func_def_190, type, sK67: 'Nat_set_set$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_191, type, sK68: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_192, type, sK69: 'Int_set$' > $int).
% 2.11/1.09 tff(func_def_193, type, sK70: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_194, type, sK71: 'Int_set$' > $int).
% 2.11/1.09 tff(func_def_195, type, sK72: 'Int_set_bool_fun$' > 'Int_set$').
% 2.11/1.09 tff(func_def_196, type, sK73: 'Nat_set_bool_fun$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_197, type, sK74: 'Int_bool_fun$' > $int).
% 2.11/1.09 tff(func_def_198, type, sK75: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_199, type, sK76: 'Int_set_bool_fun$' > 'Int_set$').
% 2.11/1.09 tff(func_def_200, type, sK77: 'Nat_set_bool_fun$' > 'Nat_set$').
% 2.11/1.09 tff(func_def_201, type, sK78: 'Int_bool_fun$' > $int).
% 2.11/1.09 tff(func_def_202, type, sK79: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_203, type, sK80: 'Int_set$' > $int).
% 2.11/1.09 tff(func_def_204, type, sK81: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_205, type, sK82: ('Int_set$' * 'Int_set$') > $int).
% 2.11/1.09 tff(func_def_206, type, sK83: ('Nat_set$' * 'Nat_set$') > 'Nat$').
% 2.11/1.09 tff(func_def_207, type, sK84: ('Int_set$' * 'Int_set$') > $int).
% 2.11/1.09 tff(func_def_208, type, sK85: ('Nat_set$' * 'Nat_set$') > 'Nat$').
% 2.11/1.09 tff(func_def_209, type, sK86: ('Int_set$' * 'Int_set$') > $int).
% 2.11/1.09 tff(func_def_210, type, sK87: ('Nat_set$' * 'Nat_set$') > 'Nat$').
% 2.11/1.09 tff(func_def_211, type, sK88: ('Int_set_bool_fun$' * 'Int_set_bool_fun$') > 'Int_set$').
% 2.11/1.09 tff(func_def_212, type, sK89: ('Nat_set_bool_fun$' * 'Nat_set_bool_fun$') > 'Nat_set$').
% 2.11/1.09 tff(func_def_213, type, sK90: ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_214, type, sK91: ('Int_bool_fun$' * 'Int_bool_fun$') > $int).
% 2.11/1.09 tff(func_def_215, type, sK92: ('Int_set_bool_fun$' * 'Int_set_bool_fun$') > 'Int_set$').
% 2.11/1.09 tff(func_def_216, type, sK93: ('Nat_set_bool_fun$' * 'Nat_set_bool_fun$') > 'Nat_set$').
% 2.11/1.09 tff(func_def_217, type, sK94: ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_218, type, sK95: ('Int_bool_fun$' * 'Int_bool_fun$') > $int).
% 2.11/1.09 tff(func_def_219, type, sK96: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_220, type, sK97: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_221, type, sK98: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_222, type, sK99: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_223, type, sK100: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_224, type, sK101: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_225, type, sK102: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_226, type, sK103: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_227, type, sK104: ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_228, type, sK105: ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_229, type, sK106: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_230, type, sK107: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_231, type, sK108: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_232, type, sK109: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_233, type, sK110: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_234, type, sK111: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_235, type, sK112: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_236, type, sK113: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_237, type, sK114: $int > $int).
% 2.11/1.09 tff(func_def_238, type, sK115: $int > $int).
% 2.11/1.09 tff(func_def_239, type, sK116: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_240, type, sK117: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_241, type, sK118: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_242, type, sK119: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_243, type, sK120: 'Int_int_bool_fun_fun$' > $int).
% 2.11/1.09 tff(func_def_244, type, sK121: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_245, type, sK122: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_246, type, sK123: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_247, type, sK124: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_248, type, sK125: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_249, type, sK126: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_250, type, sK127: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_251, type, sK128: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_252, type, sK129: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_253, type, sK130: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_254, type, sK131: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_255, type, sK132: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_256, type, sK133: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_257, type, sK134: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_258, type, sK135: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_259, type, sK136: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_260, type, sK137: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_261, type, sK138: 'Int_int_fun$' > $int).
% 2.11/1.09 tff(func_def_262, type, sK139: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_263, type, sK140: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_264, type, sK141: 'Nat_set$' > 'Nat$').
% 2.11/1.09 tff(func_def_265, type, sK142: ('Nat_set$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_266, type, sK143: ('Int_set$' * 'Int_bool_fun$') > $int).
% 2.11/1.09 tff(func_def_267, type, sK144: ('Nat_set$' * 'Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_268, type, sK145: ('Int_set$' * 'Int_bool_fun$' * 'Int_bool_fun$') > $int).
% 2.11/1.09 tff(func_def_269, type, sK146: $int > 'Nat$').
% 2.11/1.09 tff(func_def_270, type, sK147: $int > 'Nat$').
% 2.11/1.09 tff(func_def_271, type, sK148: $int > 'Nat$').
% 2.11/1.09 tff(func_def_272, type, sK149: $int > 'Nat$').
% 2.11/1.09 tff(func_def_273, type, sK150: $int > 'Nat$').
% 2.11/1.09 tff(func_def_274, type, sK151: ('Nat_bool_fun$' * $int) > 'Nat$').
% 2.11/1.09 tff(func_def_275, type, sK152: $int > 'Nat$').
% 2.11/1.09 tff(func_def_276, type, sK153: $int > 'Nat$').
% 2.11/1.09 tff(func_def_277, type, sK154: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_278, type, sK155: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_279, type, sK156: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_280, type, sK157: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_281, type, sK158: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_282, type, sK159: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_283, type, sK160: ('Nat$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_284, type, sK161: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_285, type, sK162: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_286, type, sK163: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_287, type, sK164: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(func_def_288, type, sK165: ('Nat$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_289, type, sK166: ('Nat$' * 'Nat$') > 'Nat$').
% 2.11/1.09 tff(func_def_290, type, sK167: 'Nat$' > 'Nat$').
% 2.11/1.09 tff(func_def_291, type, sK168: 'Nat_bool_fun$' > 'Nat$').
% 2.11/1.09 tff(func_def_292, type, sK169: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 2.11/1.09 tff(f47,conjecture,(
% 2.11/1.09 'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) = 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$'))),
% 2.11/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture46)).
% 2.11/1.09
% 2.11/1.09 tff(f48,negated_conjecture,(
% 2.11/1.09 ~ 'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) = 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$'))),
% 2.11/1.09 inference(negated_conjecture,[status(cth)],[f47])).
% 2.11/1.09
% 2.11/1.09 tff(f50,axiom,(
% 2.11/1.09 ! [X0 : 'Nat$'] : ~$less('fun_app$b'('of_nat$','fun_app$c'('g$',X0)),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0)))),
% 2.11/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom48)).
% 2.11/1.09
% 2.11/1.09 tff(f51,axiom,(
% 2.11/1.09 ! [X0 : 'Nat$'] : ~$less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0)),'fun_app$b'('of_nat$','fun_app$c'('g$',X0)))),
% 2.11/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom49)).
% 2.11/1.09
% 2.11/1.09 tff(f826,plain,(
% 2.11/1.09 'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) != 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$'))),
% 2.11/1.09 inference(flattening,[],[f48])).
% 2.11/1.09
% 2.11/1.09 tff(f2008,plain,(
% 2.11/1.09 'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) != 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$'))),
% 2.11/1.09 inference(cnf_transformation,[],[f826])).
% 2.11/1.09
% 2.11/1.09 tff(f2009,plain,(
% 2.11/1.09 ( ! [X0 : 'Nat$'] : (~$less('fun_app$b'('of_nat$','fun_app$c'('g$',X0)),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0)))) )),
% 2.11/1.09 inference(cnf_transformation,[],[f50])).
% 2.11/1.09
% 2.11/1.09 tff(f2010,plain,(
% 2.11/1.09 ( ! [X0 : 'Nat$'] : (~$less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0)),'fun_app$b'('of_nat$','fun_app$c'('g$',X0)))) )),
% 2.11/1.09 inference(cnf_transformation,[],[f51])).
% 2.11/1.09
% 2.11/1.09 tcf(c_53,plain,![X0_int:$int,X1_int:$int]:
% 2.11/1.09 (X0_int = X1_int|$less(X0_int,X1_int)|$less(X1_int,X0_int)),
% 2.11/1.09 inference(cnf_transformation,[],[f817])).
% 2.11/1.09
% 2.11/1.09 tcf(c_176,negated_conjecture,
% 2.11/1.09 ('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')) != 'fun_app$b'('of_nat$','fun_app$c'('g$','n$'))),
% 2.11/1.09 inference(cnf_transformation,[],[f2008])).
% 2.11/1.09
% 2.11/1.09 tcf(c_177,plain,![X0_'Nat':'Nat$']:
% 2.11/1.09 (~$less('fun_app$b'('of_nat$','fun_app$c'('g$',X0_'Nat')),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0_'Nat')))),
% 2.11/1.09 inference(cnf_transformation,[],[f2009])).
% 2.11/1.09
% 2.11/1.09 tcf(c_178,plain,![X0_'Nat':'Nat$']:
% 2.11/1.09 (~$less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0_'Nat')),'fun_app$b'('of_nat$','fun_app$c'('g$',X0_'Nat')))),
% 2.11/1.09 inference(cnf_transformation,[],[f2010])).
% 2.11/1.09
% 2.11/1.09 tcf(c_1621,plain,
% 2.11/1.09 ('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')) = 'fun_app$b'('of_nat$','fun_app$c'('g$','n$'))|
% 2.11/1.09 $less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),'fun_app$b'('of_nat$','fun_app$c'('g$','n$')))|
% 2.11/1.09 $less('fun_app$b'('of_nat$','fun_app$c'('g$','n$')),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')))),
% 2.11/1.09 inference(instantiation,[status(thm)],[c_53])).
% 2.11/1.09
% 2.11/1.09 tcf(c_1828,plain,
% 2.11/1.09 (~$less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),'fun_app$b'('of_nat$','fun_app$c'('g$','n$')))),
% 2.11/1.09 inference(instantiation,[status(thm)],[c_178])).
% 2.11/1.09
% 2.11/1.09 tcf(c_2602,plain,
% 2.11/1.09 (~$less('fun_app$b'('of_nat$','fun_app$c'('g$','n$')),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')))),
% 2.11/1.09 inference(instantiation,[status(thm)],[c_177])).
% 2.11/1.09
% 2.11/1.09 tcf(c_2604,plain,
% 2.11/1.09 ($false),
% 2.11/1.09 inference(prop_impl_just,[status(thm)],[c_2602,c_1828,c_1621,c_176])).
% 2.11/1.09
% 2.11/1.09
% 2.11/1.09 % SZS output end CNFRefutation for theBenchmark.p
% 2.11/1.09
% 2.11/1.09
%------------------------------------------------------------------------------