TSTP Solution File: NUM286-3 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM286-3 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 10:55:40 EDT 2022
% Result : Unknown 0.61s 1.12s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM286-3 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 11:59:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.20/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.43 % Orientation found
% 0.20/0.43 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_68e168.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0290b6 | grep -v "SZS"
% 0.20/0.46
% 0.20/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ iProver source info
% 0.20/0.46
% 0.20/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.46 % git: non_committed_changes: true
% 0.20/0.46 % git: last_make_outside_of_git: true
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ Input Options
% 0.20/0.46
% 0.20/0.46 % --out_options all
% 0.20/0.46 % --tptp_safe_out true
% 0.20/0.46 % --problem_path ""
% 0.20/0.46 % --include_path ""
% 0.20/0.46 % --clausifier .//eprover
% 0.20/0.46 % --clausifier_options --tstp-format
% 0.20/0.46 % --stdin false
% 0.20/0.46 % --dbg_backtrace false
% 0.20/0.46 % --dbg_dump_prop_clauses false
% 0.20/0.46 % --dbg_dump_prop_clauses_file -
% 0.20/0.46 % --dbg_out_stat false
% 0.20/0.46
% 0.20/0.46 % ------ General Options
% 0.20/0.46
% 0.20/0.46 % --fof false
% 0.20/0.46 % --time_out_real 150.
% 0.20/0.46 % --time_out_prep_mult 0.2
% 0.20/0.46 % --time_out_virtual -1.
% 0.20/0.46 % --schedule none
% 0.20/0.46 % --ground_splitting input
% 0.20/0.46 % --splitting_nvd 16
% 0.20/0.46 % --non_eq_to_eq false
% 0.20/0.46 % --prep_gs_sim true
% 0.20/0.46 % --prep_unflatten false
% 0.20/0.46 % --prep_res_sim true
% 0.20/0.46 % --prep_upred true
% 0.20/0.46 % --res_sim_input true
% 0.20/0.46 % --clause_weak_htbl true
% 0.20/0.46 % --gc_record_bc_elim false
% 0.20/0.46 % --symbol_type_check false
% 0.20/0.46 % --clausify_out false
% 0.20/0.46 % --large_theory_mode false
% 0.20/0.46 % --prep_sem_filter none
% 0.20/0.46 % --prep_sem_filter_out false
% 0.20/0.46 % --preprocessed_out false
% 0.20/0.46 % --sub_typing false
% 0.20/0.46 % --brand_transform false
% 0.20/0.46 % --pure_diseq_elim true
% 0.20/0.46 % --min_unsat_core false
% 0.20/0.46 % --pred_elim true
% 0.20/0.46 % --add_important_lit false
% 0.20/0.46 % --soft_assumptions false
% 0.20/0.46 % --reset_solvers false
% 0.20/0.46 % --bc_imp_inh []
% 0.20/0.46 % --conj_cone_tolerance 1.5
% 0.20/0.46 % --prolific_symb_bound 500
% 0.20/0.46 % --lt_threshold 2000
% 0.20/0.46
% 0.20/0.46 % ------ SAT Options
% 0.20/0.46
% 0.20/0.46 % --sat_mode false
% 0.20/0.46 % --sat_fm_restart_options ""
% 0.20/0.46 % --sat_gr_def false
% 0.20/0.46 % --sat_epr_types true
% 0.20/0.46 % --sat_non_cyclic_types false
% 0.20/0.46 % --sat_finite_models false
% 0.20/0.46 % --sat_fm_lemmas false
% 0.20/0.46 % --sat_fm_prep false
% 0.20/0.46 % --sat_fm_uc_incr true
% 0.20/0.46 % --sat_out_model small
% 0.20/0.46 % --sat_out_clauses false
% 0.20/0.46
% 0.20/0.46 % ------ QBF Options
% 0.20/0.46
% 0.20/0.46 % --qbf_mode false
% 0.20/0.46 % --qbf_elim_univ true
% 0.20/0.46 % --qbf_sk_in true
% 0.20/0.46 % --qbf_pred_elim true
% 0.20/0.46 % --qbf_split 32
% 0.20/0.46
% 0.20/0.46 % ------ BMC1 Options
% 0.20/0.46
% 0.20/0.46 % --bmc1_incremental false
% 0.20/0.46 % --bmc1_axioms reachable_all
% 0.20/0.46 % --bmc1_min_bound 0
% 0.20/0.46 % --bmc1_max_bound -1
% 0.20/0.46 % --bmc1_max_bound_default -1
% 0.20/0.46 % --bmc1_symbol_reachability true
% 0.20/0.46 % --bmc1_property_lemmas false
% 0.20/0.46 % --bmc1_k_induction false
% 0.20/0.46 % --bmc1_non_equiv_states false
% 0.20/0.46 % --bmc1_deadlock false
% 0.20/0.46 % --bmc1_ucm false
% 0.20/0.46 % --bmc1_add_unsat_core none
% 0.20/0.46 % --bmc1_unsat_core_children false
% 0.20/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.46 % --bmc1_out_stat full
% 0.20/0.46 % --bmc1_ground_init false
% 0.20/0.46 % --bmc1_pre_inst_next_state false
% 0.20/0.46 % --bmc1_pre_inst_state false
% 0.20/0.46 % --bmc1_pre_inst_reach_state false
% 0.20/0.46 % --bmc1_out_unsat_core false
% 0.20/0.46 % --bmc1_aig_witness_out false
% 0.20/0.46 % --bmc1_verbose false
% 0.20/0.46 % --bmc1_dump_clauses_tptp false
% 0.40/0.63 % --bmc1_dump_unsat_core_tptp false
% 0.40/0.63 % --bmc1_dump_file -
% 0.40/0.63 % --bmc1_ucm_expand_uc_limit 128
% 0.40/0.63 % --bmc1_ucm_n_expand_iterations 6
% 0.40/0.63 % --bmc1_ucm_extend_mode 1
% 0.40/0.63 % --bmc1_ucm_init_mode 2
% 0.40/0.63 % --bmc1_ucm_cone_mode none
% 0.40/0.63 % --bmc1_ucm_reduced_relation_type 0
% 0.40/0.63 % --bmc1_ucm_relax_model 4
% 0.40/0.63 % --bmc1_ucm_full_tr_after_sat true
% 0.40/0.63 % --bmc1_ucm_expand_neg_assumptions false
% 0.40/0.63 % --bmc1_ucm_layered_model none
% 0.40/0.63 % --bmc1_ucm_max_lemma_size 10
% 0.40/0.63
% 0.40/0.63 % ------ AIG Options
% 0.40/0.63
% 0.40/0.63 % --aig_mode false
% 0.40/0.63
% 0.40/0.63 % ------ Instantiation Options
% 0.40/0.63
% 0.40/0.63 % --instantiation_flag true
% 0.40/0.63 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.40/0.63 % --inst_solver_per_active 750
% 0.40/0.63 % --inst_solver_calls_frac 0.5
% 0.40/0.63 % --inst_passive_queue_type priority_queues
% 0.40/0.63 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.40/0.63 % --inst_passive_queues_freq [25;2]
% 0.40/0.63 % --inst_dismatching true
% 0.40/0.63 % --inst_eager_unprocessed_to_passive true
% 0.40/0.63 % --inst_prop_sim_given true
% 0.40/0.63 % --inst_prop_sim_new false
% 0.40/0.63 % --inst_orphan_elimination true
% 0.40/0.63 % --inst_learning_loop_flag true
% 0.40/0.63 % --inst_learning_start 3000
% 0.40/0.63 % --inst_learning_factor 2
% 0.40/0.63 % --inst_start_prop_sim_after_learn 3
% 0.40/0.63 % --inst_sel_renew solver
% 0.40/0.63 % --inst_lit_activity_flag true
% 0.40/0.63 % --inst_out_proof true
% 0.40/0.63
% 0.40/0.63 % ------ Resolution Options
% 0.40/0.63
% 0.40/0.63 % --resolution_flag true
% 0.40/0.63 % --res_lit_sel kbo_max
% 0.40/0.63 % --res_to_prop_solver none
% 0.40/0.63 % --res_prop_simpl_new false
% 0.40/0.63 % --res_prop_simpl_given false
% 0.40/0.63 % --res_passive_queue_type priority_queues
% 0.40/0.63 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.40/0.63 % --res_passive_queues_freq [15;5]
% 0.40/0.63 % --res_forward_subs full
% 0.40/0.63 % --res_backward_subs full
% 0.40/0.63 % --res_forward_subs_resolution true
% 0.40/0.63 % --res_backward_subs_resolution true
% 0.40/0.63 % --res_orphan_elimination false
% 0.40/0.63 % --res_time_limit 1000.
% 0.40/0.63 % --res_out_proof true
% 0.40/0.63 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_68e168.s
% 0.40/0.63 % --modulo true
% 0.40/0.63
% 0.40/0.63 % ------ Combination Options
% 0.40/0.63
% 0.40/0.63 % --comb_res_mult 1000
% 0.40/0.63 % --comb_inst_mult 300
% 0.40/0.63 % ------
% 0.40/0.63
% 0.40/0.63 % ------ Parsing...% successful
% 0.40/0.63
% 0.40/0.63 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.40/0.63
% 0.40/0.63 % ------ Proving...
% 0.40/0.63 % ------ Problem Properties
% 0.40/0.63
% 0.40/0.63 %
% 0.40/0.63 % EPR false
% 0.40/0.63 % Horn false
% 0.40/0.63 % Has equality true
% 0.40/0.63
% 0.40/0.63 % % ------ Input Options Time Limit: Unbounded
% 0.40/0.63
% 0.40/0.63
% 0.40/0.63 Compiling...
% 0.40/0.63 Loading plugin: done.
% 0.40/0.63 % % ------ Current options:
% 0.40/0.63
% 0.40/0.63 % ------ Input Options
% 0.40/0.63
% 0.40/0.63 % --out_options all
% 0.40/0.63 % --tptp_safe_out true
% 0.40/0.63 % --problem_path ""
% 0.40/0.63 % --include_path ""
% 0.40/0.63 % --clausifier .//eprover
% 0.40/0.63 % --clausifier_options --tstp-format
% 0.40/0.63 % --stdin false
% 0.40/0.63 % --dbg_backtrace false
% 0.40/0.63 % --dbg_dump_prop_clauses false
% 0.40/0.63 % --dbg_dump_prop_clauses_file -
% 0.40/0.63 % --dbg_out_stat false
% 0.40/0.63
% 0.40/0.63 % ------ General Options
% 0.40/0.63
% 0.40/0.63 % --fof false
% 0.40/0.63 % --time_out_real 150.
% 0.40/0.63 % --time_out_prep_mult 0.2
% 0.40/0.63 % --time_out_virtual -1.
% 0.40/0.63 % --schedule none
% 0.40/0.63 % --ground_splitting input
% 0.40/0.63 % --splitting_nvd 16
% 0.40/0.63 % --non_eq_to_eq false
% 0.40/0.63 % --prep_gs_sim true
% 0.40/0.63 % --prep_unflatten false
% 0.40/0.63 % --prep_res_sim true
% 0.40/0.63 % --prep_upred true
% 0.40/0.63 % --res_sim_input true
% 0.40/0.63 % --clause_weak_htbl true
% 0.40/0.63 % --gc_record_bc_elim false
% 0.40/0.63 % --symbol_type_check false
% 0.40/0.63 % --clausify_out false
% 0.40/0.63 % --large_theory_mode false
% 0.40/0.63 % --prep_sem_filter none
% 0.40/0.63 % --prep_sem_filter_out false
% 0.40/0.63 % --preprocessed_out false
% 0.40/0.63 % --sub_typing false
% 0.40/0.63 % --brand_transform false
% 0.40/0.63 % --pure_diseq_elim true
% 0.40/0.63 % --min_unsat_core false
% 0.40/0.63 % --pred_elim true
% 0.40/0.63 % --add_important_lit false
% 0.40/0.63 % --soft_assumptions false
% 0.40/0.63 % --reset_solvers false
% 0.40/0.63 % --bc_imp_inh []
% 0.40/0.63 % --conj_cone_tolerance 1.5
% 0.40/0.63 % --prolific_symb_bound 500
% 0.40/0.63 % --lt_threshold 2000
% 0.40/0.63
% 0.40/0.63 % ------ SAT Options
% 0.40/0.63
% 0.40/0.63 % --sat_mode false
% 0.40/0.63 % --sat_fm_restart_options ""
% 0.40/0.63 % --sat_gr_def false
% 0.40/0.63 % --sat_epr_types true
% 0.40/0.63 % --sat_non_cyclic_types false
% 0.40/0.63 % --sat_finite_models false
% 0.40/0.63 % --sat_fm_lemmas false
% 0.40/0.63 % --sat_fm_prep false
% 0.40/0.63 % --sat_fm_uc_incr true
% 0.40/0.63 % --sat_out_model small
% 0.40/0.63 % --sat_out_clauses false
% 0.40/0.63
% 0.40/0.63 % ------ QBF Options
% 0.40/0.63
% 0.40/0.63 % --qbf_mode false
% 0.40/0.63 % --qbf_elim_univ true
% 0.40/0.63 % --qbf_sk_in true
% 0.40/0.63 % --qbf_pred_elim true
% 0.40/0.63 % --qbf_split 32
% 0.40/0.63
% 0.40/0.63 % ------ BMC1 Options
% 0.40/0.63
% 0.40/0.63 % --bmc1_incremental false
% 0.40/0.63 % --bmc1_axioms reachable_all
% 0.40/0.63 % --bmc1_min_bound 0
% 0.40/0.63 % --bmc1_max_bound -1
% 0.40/0.63 % --bmc1_max_bound_default -1
% 0.40/0.63 % --bmc1_symbol_reachability true
% 0.40/0.63 % --bmc1_property_lemmas false
% 0.40/0.63 % --bmc1_k_induction false
% 0.40/0.63 % --bmc1_non_equiv_states false
% 0.40/0.63 % --bmc1_deadlock false
% 0.40/0.63 % --bmc1_ucm false
% 0.40/0.63 % --bmc1_add_unsat_core none
% 0.40/0.63 % --bmc1_unsat_core_children false
% 0.40/0.63 % --bmc1_unsat_core_extrapolate_axioms false
% 0.40/0.63 % --bmc1_out_stat full
% 0.40/0.63 % --bmc1_ground_init false
% 0.40/0.63 % --bmc1_pre_inst_next_state false
% 0.40/0.63 % --bmc1_pre_inst_state false
% 0.40/0.63 % --bmc1_pre_inst_reach_state false
% 0.40/0.63 % --bmc1_out_unsat_core false
% 0.40/0.63 % --bmc1_aig_witness_out false
% 0.40/0.63 % --bmc1_verbose false
% 0.40/0.63 % --bmc1_dump_clauses_tptp false
% 0.40/0.63 % --bmc1_dump_unsat_core_tptp false
% 0.40/0.63 % --bmc1_dump_file -
% 0.40/0.63 % --bmc1_ucm_expand_uc_limit 128
% 0.40/0.63 % --bmc1_ucm_n_expand_iterations 6
% 0.40/0.63 % --bmc1_ucm_extend_mode 1
% 0.40/0.63 % --bmc1_ucm_init_mode 2
% 0.40/0.63 % --bmc1_ucm_cone_mode none
% 0.40/0.63 % --bmc1_ucm_reduced_relation_type 0
% 0.40/0.63 % --bmc1_ucm_relax_model 4
% 0.40/0.63 % --bmc1_ucm_full_tr_after_sat true
% 0.40/0.63 % --bmc1_ucm_expand_neg_assumptions false
% 0.40/0.63 % --bmc1_ucm_layered_model none
% 0.40/0.63 % --bmc1_ucm_max_lemma_size 10
% 0.40/0.63
% 0.40/0.63 % ------ AIG Options
% 0.40/0.63
% 0.40/0.63 % --aig_mode false
% 0.40/0.63
% 0.40/0.63 % ------ Instantiation Options
% 0.40/0.63
% 0.40/0.63 % --instantiation_flag true
% 0.40/0.63 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.40/0.63 % --inst_solver_per_active 750
% 0.40/0.63 % --inst_solver_calls_frac 0.5
% 0.40/0.63 % --inst_passive_queue_type priority_queues
% 0.40/0.63 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.40/0.63 % --inst_passive_queues_freq [25;2]
% 0.40/0.63 % --inst_dismatching true
% 0.40/0.63 % --inst_eager_unprocessed_to_passive true
% 0.40/0.63 % --inst_prop_sim_given true
% 0.40/0.63 % --inst_prop_sim_new false
% 0.40/0.63 % --inst_orphan_elimination true
% 0.40/0.63 % --inst_learning_loop_flag true
% 0.40/0.63 % --inst_learning_start 3000
% 0.40/0.63 % --inst_learning_factor 2
% 0.40/0.63 % --inst_start_prop_sim_after_learn 3
% 0.40/0.63 % --inst_sel_renew solver
% 0.40/0.63 % --inst_lit_activity_flag true
% 0.40/0.63 % --inst_out_proof true
% 0.40/0.63
% 0.40/0.63 % ------ Resolution Options
% 0.40/0.63
% 0.40/0.63 % --resolution_flag true
% 0.40/0.63 % --res_lit_sel kbo_max
% 0.40/0.63 % --res_to_prop_solver none
% 0.40/0.63 % --res_prop_simpl_new false
% 0.40/0.63 % --res_prop_simpl_given false
% 0.40/0.63 % --res_passive_queue_type priority_queues
% 0.40/0.63 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.40/0.63 % --res_passive_queues_freq [15;5]
% 0.40/0.63 % --res_forward_subs full
% 0.40/0.63 % --res_backward_subs full
% 0.40/0.63 % --res_forward_subs_resolution true
% 0.40/0.63 % --res_backward_subs_resolution true
% 0.40/0.63 % --res_orphan_elimination false
% 0.40/0.63 % --res_time_limit 1000.
% 0.40/0.63 % --res_out_proof true
% 0.40/0.63 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_68e168.s
% 0.40/0.63 % --modulo true
% 0.40/0.63
% 0.40/0.63 % ------ Combination Options
% 0.40/0.63
% 0.40/0.63 % --comb_res_mult 1000
% 0.40/0.63 % --comb_inst_mult 300
% 0.40/0.63 % ------
% 0.40/0.63
% 0.40/0.63
% 0.40/0.63
% 0.40/0.63 % ------ Proving...
% 0.40/0.63 % warning: shown sat in sat incomplete mode
% 0.40/0.63 %
% 0.40/0.63
% 0.40/0.63
% 0.40/0.63
% 0.40/0.63
% 0.40/0.63 cnf(c_594,plain,
% 0.40/0.63 ( ~ relation(X0) | ~ single_valued_set(X0) | function(X0) ),
% 0.40/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1025_0) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2666,plain,
% 0.40/0.63 ( ~ relation(X0) | ~ single_valued_set(X0) | function(X0) ),
% 0.40/0.63 inference(copy,[status(esa)],[c_594]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2667,plain,
% 0.40/0.63 ( ~ single_valued_set(X0) | function(X0) | ~ relation(X0) ),
% 0.40/0.63 inference(rewriting,[status(thm)],[c_2666]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_558,plain,
% 0.40/0.63 ( ~ little_set(X0) | X0 = empty_set | member(f26(X0),X0) ),
% 0.40/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1008_0) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2594,plain,
% 0.40/0.63 ( ~ little_set(X0) | X0 = empty_set | member(f26(X0),X0) ),
% 0.40/0.63 inference(copy,[status(esa)],[c_558]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2595,plain,
% 0.40/0.63 ( member(f26(X0),X0) | ~ little_set(X0) | X0 = empty_set ),
% 0.40/0.63 inference(rewriting,[status(thm)],[c_2594]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_555,plain,
% 0.40/0.63 ( ~ little_set(X0) | member(X0,times) | little_set(f54(X0)) ),
% 0.40/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1007_0) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2588,plain,
% 0.40/0.63 ( ~ little_set(X0) | member(X0,times) | little_set(f54(X0)) ),
% 0.40/0.63 inference(copy,[status(esa)],[c_555]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2589,plain,
% 0.40/0.63 ( member(X0,times) | little_set(f54(X0)) | ~ little_set(X0) ),
% 0.40/0.63 inference(rewriting,[status(thm)],[c_2588]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_552,plain,
% 0.40/0.63 ( ~ little_set(X0) | member(X0,plus) | little_set(f49(X0)) ),
% 0.40/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1006_0) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2582,plain,
% 0.40/0.63 ( ~ little_set(X0) | member(X0,plus) | little_set(f49(X0)) ),
% 0.40/0.63 inference(copy,[status(esa)],[c_552]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2583,plain,
% 0.40/0.63 ( member(X0,plus) | little_set(f49(X0)) | ~ little_set(X0) ),
% 0.40/0.63 inference(rewriting,[status(thm)],[c_2582]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_549,plain,
% 0.40/0.63 ( ~ little_set(X0) | member(X0,natural_numbers) | little_set(f44(X0)) ),
% 0.40/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1005_0) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2576,plain,
% 0.40/0.63 ( ~ little_set(X0) | member(X0,natural_numbers) | little_set(f44(X0)) ),
% 0.40/0.63 inference(copy,[status(esa)],[c_549]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2577,plain,
% 0.40/0.63 ( member(X0,natural_numbers) | little_set(f44(X0)) | ~ little_set(X0) ),
% 0.40/0.63 inference(rewriting,[status(thm)],[c_2576]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_538,plain,
% 0.40/0.63 ( ~ relation(X0) | ~ member(X1,X0) | ordered_pair_predicate(X1) ),
% 0.40/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1000_0) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2554,plain,
% 0.40/0.63 ( ~ relation(X0) | ~ member(X1,X0) | ordered_pair_predicate(X1) ),
% 0.40/0.63 inference(copy,[status(esa)],[c_538]) ).
% 0.40/0.63
% 0.40/0.63 cnf(c_2555,plain,
% 0.40/0.63 ( ~ member(X0,X1) | ordered_pair_predicate(X0) | ~ relation(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2554]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_514,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | first(X0) != second(X0)
% 0.45/0.63 | member(X0,identity_relation) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_990_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2506,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | first(X0) != second(X0)
% 0.45/0.63 | member(X0,identity_relation) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_514]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2507,plain,
% 0.45/0.63 ( member(X0,identity_relation)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | first(X0) != second(X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2506]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_511,plain,
% 0.45/0.63 ( ~ little_set(X0) | member(X0,complement(X1)) | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_989_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2500,plain,
% 0.45/0.63 ( ~ little_set(X0) | member(X0,complement(X1)) | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_511]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2501,plain,
% 0.45/0.63 ( member(X0,complement(X1)) | member(X0,X1) | ~ little_set(X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2500]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_510,plain,
% 0.45/0.63 ( ordered_pair_predicate(X0)
% 0.45/0.63 | X0 != ordered_pair(X1,X2)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_988_3) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2498,plain,
% 0.45/0.63 ( ordered_pair_predicate(X0)
% 0.45/0.63 | X0 != ordered_pair(X1,X2)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_510]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2499,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ordered_pair_predicate(X2)
% 0.45/0.63 | X2 != ordered_pair(X1,X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2498]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_504,plain,
% 0.45/0.63 ( ~ little_set(X0) | ~ function(X1) | little_set(image(X0,X1)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_987_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2486,plain,
% 0.45/0.63 ( ~ little_set(X0) | ~ function(X1) | little_set(image(X0,X1)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_504]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2487,plain,
% 0.45/0.63 ( little_set(image(X0,X1)) | ~ little_set(X0) | ~ function(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2486]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_491,plain,
% 0.45/0.63 ( ~ little_set(X0) | ~ subset(X0,X1) | member(X0,powerset(X1)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_981_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2460,plain,
% 0.45/0.63 ( ~ little_set(X0) | ~ subset(X0,X1) | member(X0,powerset(X1)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_491]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2461,plain,
% 0.45/0.63 ( member(X0,powerset(X1)) | ~ little_set(X0) | ~ subset(X0,X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2460]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_488,plain,
% 0.45/0.63 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X2,X1)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_980_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2454,plain,
% 0.45/0.63 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X2,X1)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_488]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2455,plain,
% 0.45/0.63 ( member(X0,non_ordered_pair(X1,X2)) | ~ little_set(X0) | X0 != X2 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2454]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_485,plain,
% 0.45/0.63 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X1,X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_979_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2448,plain,
% 0.45/0.63 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X1,X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_485]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2449,plain,
% 0.45/0.63 ( member(X0,non_ordered_pair(X1,X2)) | ~ little_set(X0) | X0 != X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2448]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_460,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | X0 = successor(empty_set)
% 0.45/0.63 | member(f56(X0),natural_numbers) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_968_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2398,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | X0 = successor(empty_set)
% 0.45/0.63 | member(f56(X0),natural_numbers) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_460]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2399,plain,
% 0.45/0.63 ( member(f56(X0),natural_numbers)
% 0.45/0.63 | ~ member(X0,natural_numbers)
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = successor(empty_set)
% 0.45/0.63 | X0 = empty_set ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2398]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_455,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | X0 = successor(empty_set)
% 0.45/0.63 | member(f55(X0),natural_numbers) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_967_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2388,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | X0 = successor(empty_set)
% 0.45/0.63 | member(f55(X0),natural_numbers) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_455]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2389,plain,
% 0.45/0.63 ( member(f55(X0),natural_numbers)
% 0.45/0.63 | ~ member(X0,natural_numbers)
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = successor(empty_set)
% 0.45/0.63 | X0 = empty_set ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2388]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_452,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | member(ordered_pair(X0,f26(X0)),f25) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_966_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2382,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | member(ordered_pair(X0,f26(X0)),f25) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_452]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2383,plain,
% 0.45/0.63 ( member(ordered_pair(X0,f26(X0)),f25)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | X0 = empty_set ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2382]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_449,plain,
% 0.45/0.63 ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_965_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2376,plain,
% 0.45/0.63 ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_449]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2377,plain,
% 0.45/0.63 ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2376]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_416,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X1)
% 0.45/0.63 | ~ member(X1,X2)
% 0.45/0.63 | X0 != second(X1)
% 0.45/0.63 | member(X0,range_of(X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_950_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2310,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X1)
% 0.45/0.63 | ~ member(X1,X2)
% 0.45/0.63 | X0 != second(X1)
% 0.45/0.63 | member(X0,range_of(X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_416]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2311,plain,
% 0.45/0.63 ( member(X0,range_of(X1))
% 0.45/0.63 | ~ member(X2,X1)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X2)
% 0.45/0.63 | X0 != second(X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2310]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_413,plain,
% 0.45/0.63 ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sigma(X1)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_949_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2304,plain,
% 0.45/0.63 ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sigma(X1)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_413]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2305,plain,
% 0.45/0.63 ( member(X0,sigma(X1)) | ~ member(X2,X1) | ~ member(X0,X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2304]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_408,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X1)
% 0.45/0.63 | ~ member(X1,X2)
% 0.45/0.63 | X0 != first(X1)
% 0.45/0.63 | member(X0,domain_of(X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_948_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2294,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X1)
% 0.45/0.63 | ~ member(X1,X2)
% 0.45/0.63 | X0 != first(X1)
% 0.45/0.63 | member(X0,domain_of(X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_408]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2295,plain,
% 0.45/0.63 ( member(X0,domain_of(X1))
% 0.45/0.63 | ~ member(X2,X1)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X2)
% 0.45/0.63 | X0 != first(X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2294]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_400,plain,
% 0.45/0.63 ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_945_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2278,plain,
% 0.45/0.63 ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_400]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2279,plain,
% 0.45/0.63 ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X1,X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2278]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_396,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(first(X0),second(X0))
% 0.45/0.63 | member(X0,estin) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_944_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2270,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(first(X0),second(X0))
% 0.45/0.63 | member(X0,estin) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_396]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2271,plain,
% 0.45/0.63 ( ~ member(first(X0),second(X0))
% 0.45/0.63 | member(X0,estin)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2270]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_367,plain,
% 0.45/0.63 ( member(X0,second(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | X1 != ordered_pair(X3,X2)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_930_4) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2212,plain,
% 0.45/0.63 ( member(X0,second(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | X1 != ordered_pair(X3,X2)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_367]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2213,plain,
% 0.45/0.63 ( member(X0,second(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | X1 != ordered_pair(X3,X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2212]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_363,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | X2 != ordered_pair(X0,X1)
% 0.45/0.63 | ~ member(X3,X1)
% 0.45/0.63 | member(X3,second(X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_930_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2204,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | X2 != ordered_pair(X0,X1)
% 0.45/0.63 | ~ member(X3,X1)
% 0.45/0.63 | member(X3,second(X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_363]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2205,plain,
% 0.45/0.63 ( member(X0,second(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | X1 != ordered_pair(X3,X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2204]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_362,plain,
% 0.45/0.63 ( member(X0,first(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | X1 != ordered_pair(X2,X3)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X2) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_929_4) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2202,plain,
% 0.45/0.63 ( member(X0,first(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | X1 != ordered_pair(X2,X3)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X2) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_362]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2203,plain,
% 0.45/0.63 ( member(X0,first(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | X1 != ordered_pair(X2,X3) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2202]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_358,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | X2 != ordered_pair(X0,X1)
% 0.45/0.63 | ~ member(X3,X0)
% 0.45/0.63 | member(X3,first(X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_929_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2194,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | X2 != ordered_pair(X0,X1)
% 0.45/0.63 | ~ member(X3,X0)
% 0.45/0.63 | member(X3,first(X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_358]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2195,plain,
% 0.45/0.63 ( member(X0,first(X1))
% 0.45/0.63 | ~ member(X0,X2)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | X1 != ordered_pair(X2,X3) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2194]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_355,plain,
% 0.45/0.63 ( ~ member(X0,prime_numbers)
% 0.45/0.63 | ~ member(successor(successor(X0)),prime_numbers)
% 0.45/0.63 | member(X0,twin_prime_numbers) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_928_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2188,plain,
% 0.45/0.63 ( ~ member(X0,prime_numbers)
% 0.45/0.63 | ~ member(successor(successor(X0)),prime_numbers)
% 0.45/0.63 | member(X0,twin_prime_numbers) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_355]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2189,plain,
% 0.45/0.63 ( ~ member(successor(successor(X0)),prime_numbers)
% 0.45/0.63 | ~ member(X0,prime_numbers)
% 0.45/0.63 | member(X0,twin_prime_numbers) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2188]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_354,plain,
% 0.45/0.63 ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_927_2) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2186,plain,
% 0.45/0.63 ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_354]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2187,plain,
% 0.45/0.63 ( member(f1(X0,X1),X1) | member(f1(X0,X1),X0) | X0 = X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2186]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_345,plain,
% 0.45/0.63 ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_924_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2168,plain,
% 0.45/0.63 ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_345]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2169,plain,
% 0.45/0.63 ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2168]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_326,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ member(empty_set,X1)
% 0.45/0.63 | member(f43(X0,X1),X1)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_916_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2130,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ member(empty_set,X1)
% 0.45/0.63 | member(f43(X0,X1),X1)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_326]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2131,plain,
% 0.45/0.63 ( ~ member(empty_set,X0)
% 0.45/0.63 | member(f43(X1,X0),X0)
% 0.45/0.63 | ~ member(X1,natural_numbers)
% 0.45/0.63 | member(X1,X0)
% 0.45/0.63 | ~ little_set(X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2130]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_322,plain,
% 0.45/0.63 ( ~ function(X0)
% 0.45/0.63 | domain_of(X0) != X1
% 0.45/0.63 | ~ subset(range_of(X0),X2)
% 0.45/0.63 | maps(X0,X1,X2) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_915_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2122,plain,
% 0.45/0.63 ( ~ function(X0)
% 0.45/0.63 | domain_of(X0) != X1
% 0.45/0.63 | ~ subset(range_of(X0),X2)
% 0.45/0.63 | maps(X0,X1,X2) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_322]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2123,plain,
% 0.45/0.63 ( maps(X0,X1,X2)
% 0.45/0.63 | ~ subset(range_of(X0),X2)
% 0.45/0.63 | ~ function(X0)
% 0.45/0.63 | domain_of(X0) != X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2122]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_306,plain,
% 0.45/0.63 ( ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(X0,X1)
% 0.45/0.63 | first(X0) != X2
% 0.45/0.63 | ~ member(X3,second(X0))
% 0.45/0.63 | member(X3,apply(X1,X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_910_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2090,plain,
% 0.45/0.63 ( ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(X0,X1)
% 0.45/0.63 | first(X0) != X2
% 0.45/0.63 | ~ member(X3,second(X0))
% 0.45/0.63 | member(X3,apply(X1,X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_306]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2091,plain,
% 0.45/0.63 ( member(X0,apply(X1,X2))
% 0.45/0.63 | ~ member(X0,second(X3))
% 0.45/0.63 | ~ member(X3,X1)
% 0.45/0.63 | ~ ordered_pair_predicate(X3)
% 0.45/0.63 | first(X3) != X2 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2090]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_300,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X1)
% 0.45/0.63 | ~ member(X1,X2)
% 0.45/0.63 | ~ member(first(X1),X3)
% 0.45/0.63 | second(X1) != X0
% 0.45/0.63 | member(X0,image(X3,X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_909_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2078,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X1)
% 0.45/0.63 | ~ member(X1,X2)
% 0.45/0.63 | ~ member(first(X1),X3)
% 0.45/0.63 | second(X1) != X0
% 0.45/0.63 | member(X0,image(X3,X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_300]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2079,plain,
% 0.45/0.63 ( ~ member(first(X0),X1)
% 0.45/0.63 | member(X2,image(X1,X3))
% 0.45/0.63 | ~ member(X0,X3)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | second(X0) != X2 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2078]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_295,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(first(X0),X1)
% 0.45/0.63 | ~ member(second(X0),X2)
% 0.45/0.63 | member(X0,cross_product(X1,X2)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_908_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2068,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(first(X0),X1)
% 0.45/0.63 | ~ member(second(X0),X2)
% 0.45/0.63 | member(X0,cross_product(X1,X2)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_295]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2069,plain,
% 0.45/0.63 ( ~ member(first(X0),X1)
% 0.45/0.63 | ~ member(second(X0),X2)
% 0.45/0.63 | member(X0,cross_product(X1,X2))
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2068]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_290,plain,
% 0.45/0.63 ( ~ member(X0,times)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | member(f53(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_907_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2058,plain,
% 0.45/0.63 ( ~ member(X0,times)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | member(f53(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_290]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2059,plain,
% 0.45/0.63 ( member(f53(X0,X1),natural_numbers)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | ~ member(X0,times)
% 0.45/0.63 | member(X0,X1)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2058]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_285,plain,
% 0.45/0.63 ( ~ member(X0,times)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | member(f52(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_906_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2048,plain,
% 0.45/0.63 ( ~ member(X0,times)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | member(f52(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_285]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2049,plain,
% 0.45/0.63 ( member(f52(X0,X1),natural_numbers)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | ~ member(X0,times)
% 0.45/0.63 | member(X0,X1)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2048]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_280,plain,
% 0.45/0.63 ( ~ member(X0,times)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | member(f51(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_905_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2038,plain,
% 0.45/0.63 ( ~ member(X0,times)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | member(f51(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_280]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2039,plain,
% 0.45/0.63 ( member(f51(X0,X1),natural_numbers)
% 0.45/0.63 | member(f50(X0,X1),natural_numbers)
% 0.45/0.63 | ~ member(X0,times)
% 0.45/0.63 | member(X0,X1)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2038]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_275,plain,
% 0.45/0.63 ( ~ member(X0,plus)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | member(f48(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_904_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2028,plain,
% 0.45/0.63 ( ~ member(X0,plus)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | member(f48(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_275]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2029,plain,
% 0.45/0.63 ( member(f48(X0,X1),natural_numbers)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | ~ member(X0,plus)
% 0.45/0.63 | member(X0,X1)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2028]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_270,plain,
% 0.45/0.63 ( ~ member(X0,plus)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | member(f47(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_903_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2018,plain,
% 0.45/0.63 ( ~ member(X0,plus)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | member(f47(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_270]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2019,plain,
% 0.45/0.63 ( member(f47(X0,X1),natural_numbers)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | ~ member(X0,plus)
% 0.45/0.63 | member(X0,X1)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2018]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_265,plain,
% 0.45/0.63 ( ~ member(X0,plus)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | member(f46(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_902_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2008,plain,
% 0.45/0.63 ( ~ member(X0,plus)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | member(f46(X0,X1),natural_numbers)
% 0.45/0.63 | member(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_265]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_2009,plain,
% 0.45/0.63 ( member(f46(X0,X1),natural_numbers)
% 0.45/0.63 | member(f45(X0,X1),natural_numbers)
% 0.45/0.63 | ~ member(X0,plus)
% 0.45/0.63 | member(X0,X1)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_2008]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_260,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | X0 = successor(empty_set) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_901_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1998,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = empty_set
% 0.45/0.63 | X0 = successor(empty_set) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_260]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1999,plain,
% 0.45/0.63 ( ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.45/0.63 | ~ member(X0,natural_numbers)
% 0.45/0.63 | member(X0,prime_numbers)
% 0.45/0.63 | X0 = successor(empty_set)
% 0.45/0.63 | X0 = empty_set ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1998]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_255,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | ~ maps(X1,X0,X2)
% 0.45/0.63 | range_of(X1) != X2
% 0.45/0.63 | ~ one_to_one_function(X1)
% 0.45/0.63 | finite(X2) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_900_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1988,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | ~ maps(X1,X0,X2)
% 0.45/0.63 | range_of(X1) != X2
% 0.45/0.63 | ~ one_to_one_function(X1)
% 0.45/0.63 | finite(X2) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_255]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1989,plain,
% 0.45/0.63 ( ~ maps(X0,X1,X2)
% 0.45/0.63 | ~ member(X1,natural_numbers)
% 0.45/0.63 | finite(X2)
% 0.45/0.63 | ~ one_to_one_function(X0)
% 0.45/0.63 | range_of(X0) != X2 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1988]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_254,plain,
% 0.45/0.63 ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_899_2) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1986,plain,
% 0.45/0.63 ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_254]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1987,plain,
% 0.45/0.63 ( ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) | X0 = X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1986]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_240,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.45/0.63 | member(X0,converse(X1)) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_896_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1958,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0)
% 0.45/0.63 | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.45/0.63 | member(X0,converse(X1)) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_240]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1959,plain,
% 0.45/0.63 ( ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.45/0.63 | member(X0,converse(X1))
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ ordered_pair_predicate(X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1958]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_239,plain,
% 0.45/0.63 ( member(X0,even_numbers)
% 0.45/0.63 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.45/0.63 | ~ member(X1,natural_numbers)
% 0.45/0.63 | ~ member(X0,natural_numbers) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_895_3) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1956,plain,
% 0.45/0.63 ( member(X0,even_numbers)
% 0.45/0.63 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.45/0.63 | ~ member(X1,natural_numbers)
% 0.45/0.63 | ~ member(X0,natural_numbers) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_239]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1957,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.63 | ~ member(X1,natural_numbers)
% 0.45/0.63 | member(X1,even_numbers)
% 0.45/0.63 | apply_to_two_arguments(plus,X0,X0) != X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1956]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_235,plain,
% 0.45/0.63 ( closed(X0,X1)
% 0.45/0.63 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X0) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_894_3) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1948,plain,
% 0.45/0.63 ( closed(X0,X1)
% 0.45/0.63 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X0) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_235]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1949,plain,
% 0.45/0.63 ( ~ maps(X0,cross_product(X1,X1),X1)
% 0.45/0.63 | closed(X1,X0)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1948]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_232,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.45/0.63 | closed(X0,X1) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_894_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1942,plain,
% 0.45/0.63 ( ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.45/0.63 | closed(X0,X1) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_232]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1943,plain,
% 0.45/0.63 ( ~ maps(X0,cross_product(X1,X1),X1)
% 0.45/0.63 | closed(X1,X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X0) ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1942]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_230,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | X1 = X2
% 0.45/0.63 | ~ member(ordered_pair(X3,X2),X0)
% 0.45/0.63 | ~ member(ordered_pair(X3,X1),X0)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X3) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_893_5) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1938,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | X1 = X2
% 0.45/0.63 | ~ member(ordered_pair(X3,X2),X0)
% 0.45/0.63 | ~ member(ordered_pair(X3,X1),X0)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X3) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_230]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1939,plain,
% 0.45/0.63 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.63 | ~ member(ordered_pair(X0,X3),X2)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ single_valued_set(X2)
% 0.45/0.63 | X3 = X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1938]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_229,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | X2 = X3
% 0.45/0.63 | ~ member(ordered_pair(X1,X3),X0)
% 0.45/0.63 | ~ member(ordered_pair(X1,X2),X0)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X2) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_893_4) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1936,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | X2 = X3
% 0.45/0.63 | ~ member(ordered_pair(X1,X3),X0)
% 0.45/0.63 | ~ member(ordered_pair(X1,X2),X0)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X2) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_229]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1937,plain,
% 0.45/0.63 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.63 | ~ member(ordered_pair(X0,X3),X2)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ single_valued_set(X2)
% 0.45/0.63 | X3 = X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1936]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_227,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | X2 = X3
% 0.45/0.63 | ~ member(ordered_pair(X1,X3),X0)
% 0.45/0.63 | ~ member(ordered_pair(X1,X2),X0) ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_893_2) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1932,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | X2 = X3
% 0.45/0.63 | ~ member(ordered_pair(X1,X3),X0)
% 0.45/0.63 | ~ member(ordered_pair(X1,X2),X0) ),
% 0.45/0.63 inference(copy,[status(esa)],[c_227]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1933,plain,
% 0.45/0.63 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.63 | ~ member(ordered_pair(X0,X3),X2)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ single_valued_set(X2)
% 0.45/0.63 | X3 = X1 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1932]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_225,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ member(ordered_pair(X1,X2),X0)
% 0.45/0.63 | ~ member(ordered_pair(X1,X3),X0)
% 0.45/0.63 | X2 = X3 ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_893_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1928,plain,
% 0.45/0.63 ( ~ single_valued_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X2)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ member(ordered_pair(X1,X2),X0)
% 0.45/0.63 | ~ member(ordered_pair(X1,X3),X0)
% 0.45/0.63 | X2 = X3 ),
% 0.45/0.63 inference(copy,[status(esa)],[c_225]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1929,plain,
% 0.45/0.63 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.63 | ~ member(ordered_pair(X0,X3),X2)
% 0.45/0.63 | ~ little_set(X0)
% 0.45/0.63 | ~ little_set(X1)
% 0.45/0.63 | ~ little_set(X3)
% 0.45/0.63 | ~ single_valued_set(X2)
% 0.45/0.63 | X1 = X3 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1928]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_222,plain,
% 0.45/0.63 ( ~ identity(X0,X1,X2)
% 0.45/0.63 | ~ member(X3,X0)
% 0.45/0.63 | apply_to_two_arguments(X1,X3,X2) = X3 ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_892_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1922,plain,
% 0.45/0.63 ( ~ identity(X0,X1,X2)
% 0.45/0.63 | ~ member(X3,X0)
% 0.45/0.63 | apply_to_two_arguments(X1,X3,X2) = X3 ),
% 0.45/0.63 inference(copy,[status(esa)],[c_222]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1923,plain,
% 0.45/0.63 ( ~ member(X0,X1)
% 0.45/0.63 | ~ identity(X1,X2,X3)
% 0.45/0.63 | apply_to_two_arguments(X2,X0,X3) = X0 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1922]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_219,plain,
% 0.45/0.63 ( ~ identity(X0,X1,X2)
% 0.45/0.63 | ~ member(X3,X0)
% 0.45/0.63 | apply_to_two_arguments(X1,X2,X3) = X3 ),
% 0.45/0.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_891_0) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1916,plain,
% 0.45/0.63 ( ~ identity(X0,X1,X2)
% 0.45/0.63 | ~ member(X3,X0)
% 0.45/0.63 | apply_to_two_arguments(X1,X2,X3) = X3 ),
% 0.45/0.63 inference(copy,[status(esa)],[c_219]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_1917,plain,
% 0.45/0.63 ( ~ member(X0,X1)
% 0.45/0.63 | ~ identity(X1,X2,X3)
% 0.45/0.63 | apply_to_two_arguments(X2,X3,X0) = X0 ),
% 0.45/0.63 inference(rewriting,[status(thm)],[c_1916]) ).
% 0.45/0.63
% 0.45/0.63 cnf(c_200,plain,
% 0.45/0.63 ( ~ member(X0,natural_numbers)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ member(empty_set,X1)
% 0.45/0.64 | ~ member(successor(f43(X0,X1)),X1)
% 0.45/0.64 | member(X0,X1) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_883_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1878,plain,
% 0.45/0.64 ( ~ member(X0,natural_numbers)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ member(empty_set,X1)
% 0.45/0.64 | ~ member(successor(f43(X0,X1)),X1)
% 0.45/0.64 | member(X0,X1) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_200]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1879,plain,
% 0.45/0.64 ( ~ member(successor(f43(X0,X1)),X1)
% 0.45/0.64 | ~ member(empty_set,X1)
% 0.45/0.64 | ~ member(X0,natural_numbers)
% 0.45/0.64 | member(X0,X1)
% 0.45/0.64 | ~ little_set(X1) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1878]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_198,plain,
% 0.45/0.64 ( ~ commutes(X0,X1)
% 0.45/0.64 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 0.45/0.64 | ~ member(X3,X0)
% 0.45/0.64 | ~ member(X2,X0) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_882_2) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1874,plain,
% 0.45/0.64 ( ~ commutes(X0,X1)
% 0.45/0.64 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 0.45/0.64 | ~ member(X3,X0)
% 0.45/0.64 | ~ member(X2,X0) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_198]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1875,plain,
% 0.45/0.64 ( ~ member(X0,X1)
% 0.45/0.64 | ~ member(X2,X1)
% 0.45/0.64 | ~ commutes(X1,X3)
% 0.45/0.64 | apply_to_two_arguments(X3,X2,X0) = apply_to_two_arguments(X3,X0,X2) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1874]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_196,plain,
% 0.45/0.64 ( ~ commutes(X0,X1)
% 0.45/0.64 | ~ member(X2,X0)
% 0.45/0.64 | ~ member(X3,X0)
% 0.45/0.64 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_882_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1870,plain,
% 0.45/0.64 ( ~ commutes(X0,X1)
% 0.45/0.64 | ~ member(X2,X0)
% 0.45/0.64 | ~ member(X3,X0)
% 0.45/0.64 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_196]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1871,plain,
% 0.45/0.64 ( ~ member(X0,X1)
% 0.45/0.64 | ~ member(X2,X1)
% 0.45/0.64 | ~ commutes(X1,X3)
% 0.45/0.64 | apply_to_two_arguments(X3,X0,X2) = apply_to_two_arguments(X3,X2,X0) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1870]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_190,plain,
% 0.45/0.64 ( ~ member(X0,prime_numbers)
% 0.45/0.64 | member(X1,non_ordered_pair(successor(empty_set),X0))
% 0.45/0.64 | apply_to_two_arguments(times,X1,X2) != X0
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_879_3) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1858,plain,
% 0.45/0.64 ( ~ member(X0,prime_numbers)
% 0.45/0.64 | member(X1,non_ordered_pair(successor(empty_set),X0))
% 0.45/0.64 | apply_to_two_arguments(times,X1,X2) != X0
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_190]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1859,plain,
% 0.45/0.64 ( ~ member(X0,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | member(X1,non_ordered_pair(successor(empty_set),X2))
% 0.45/0.64 | ~ member(X2,prime_numbers)
% 0.45/0.64 | apply_to_two_arguments(times,X1,X0) != X2 ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1858]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_187,plain,
% 0.45/0.64 ( ~ member(X0,prime_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | apply_to_two_arguments(times,X1,X2) != X0
% 0.45/0.64 | member(X1,non_ordered_pair(successor(empty_set),X0)) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_879_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1852,plain,
% 0.45/0.64 ( ~ member(X0,prime_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | apply_to_two_arguments(times,X1,X2) != X0
% 0.45/0.64 | member(X1,non_ordered_pair(successor(empty_set),X0)) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_187]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1853,plain,
% 0.45/0.64 ( ~ member(X0,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | member(X0,non_ordered_pair(successor(empty_set),X2))
% 0.45/0.64 | ~ member(X2,prime_numbers)
% 0.45/0.64 | apply_to_two_arguments(times,X0,X1) != X2 ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1852]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_184,plain,
% 0.45/0.64 ( ~ member(X0,X1) | identity(X1,X2,X0) | member(f37(X1,X2,X0),X1) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_878_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1846,plain,
% 0.45/0.64 ( ~ member(X0,X1) | identity(X1,X2,X0) | member(f37(X1,X2,X0),X1) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_184]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1847,plain,
% 0.45/0.64 ( member(f37(X0,X1,X2),X0) | ~ member(X2,X0) | identity(X0,X1,X2) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1846]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_179,plain,
% 0.45/0.64 ( member(X0,compose(X1,X2))
% 0.45/0.64 | ~ member(ordered_pair(X3,X4),X2)
% 0.45/0.64 | ~ member(ordered_pair(X5,X3),X1)
% 0.45/0.64 | X0 != ordered_pair(X5,X4)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X5)
% 0.45/0.64 | ~ little_set(X0) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_875_7) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1836,plain,
% 0.45/0.64 ( member(X0,compose(X1,X2))
% 0.45/0.64 | ~ member(ordered_pair(X3,X4),X2)
% 0.45/0.64 | ~ member(ordered_pair(X5,X3),X1)
% 0.45/0.64 | X0 != ordered_pair(X5,X4)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X5)
% 0.45/0.64 | ~ little_set(X0) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_179]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1837,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.64 | ~ member(ordered_pair(X3,X0),X4)
% 0.45/0.64 | member(X5,compose(X4,X2))
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X5)
% 0.45/0.64 | X5 != ordered_pair(X3,X1) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1836]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_178,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(X0,compose(X1,X2))
% 0.45/0.64 | ~ member(ordered_pair(X3,X4),X2)
% 0.45/0.64 | ~ member(ordered_pair(X5,X3),X1)
% 0.45/0.64 | X0 != ordered_pair(X5,X4)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X5) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_875_6) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1834,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(X0,compose(X1,X2))
% 0.45/0.64 | ~ member(ordered_pair(X3,X4),X2)
% 0.45/0.64 | ~ member(ordered_pair(X5,X3),X1)
% 0.45/0.64 | X0 != ordered_pair(X5,X4)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X5) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_178]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1835,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.64 | ~ member(ordered_pair(X3,X0),X4)
% 0.45/0.64 | member(X5,compose(X4,X2))
% 0.45/0.64 | ~ little_set(X5)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X5 != ordered_pair(X3,X1) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1834]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_177,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | member(X0,compose(X2,X3))
% 0.45/0.64 | ~ member(ordered_pair(X4,X5),X3)
% 0.45/0.64 | ~ member(ordered_pair(X1,X4),X2)
% 0.45/0.64 | X0 != ordered_pair(X1,X5)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X5) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_875_5) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1832,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | member(X0,compose(X2,X3))
% 0.45/0.64 | ~ member(ordered_pair(X4,X5),X3)
% 0.45/0.64 | ~ member(ordered_pair(X1,X4),X2)
% 0.45/0.64 | X0 != ordered_pair(X1,X5)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X5) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_177]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1833,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.64 | ~ member(ordered_pair(X3,X0),X4)
% 0.45/0.64 | member(X5,compose(X4,X2))
% 0.45/0.64 | ~ little_set(X5)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | X5 != ordered_pair(X3,X1) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1832]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_174,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,X2)
% 0.45/0.64 | member(X0,compose(X4,X5))
% 0.45/0.64 | ~ member(ordered_pair(X3,X2),X5)
% 0.45/0.64 | ~ member(ordered_pair(X1,X3),X4) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_875_2) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1826,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,X2)
% 0.45/0.64 | member(X0,compose(X4,X5))
% 0.45/0.64 | ~ member(ordered_pair(X3,X2),X5)
% 0.45/0.64 | ~ member(ordered_pair(X1,X3),X4) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_174]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1827,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.64 | ~ member(ordered_pair(X3,X0),X4)
% 0.45/0.64 | member(X5,compose(X4,X2))
% 0.45/0.64 | ~ little_set(X5)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | X5 != ordered_pair(X3,X1) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1826]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_172,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,X2)
% 0.45/0.64 | ~ member(ordered_pair(X1,X3),X4)
% 0.45/0.64 | ~ member(ordered_pair(X3,X2),X5)
% 0.45/0.64 | member(X0,compose(X4,X5)) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_875_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1822,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,X2)
% 0.45/0.64 | ~ member(ordered_pair(X1,X3),X4)
% 0.45/0.64 | ~ member(ordered_pair(X3,X2),X5)
% 0.45/0.64 | member(X0,compose(X4,X5)) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_172]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1823,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,X1),X2)
% 0.45/0.64 | ~ member(ordered_pair(X1,X3),X4)
% 0.45/0.64 | member(X5,compose(X2,X4))
% 0.45/0.64 | ~ little_set(X5)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | X5 != ordered_pair(X0,X3) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1822]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_171,plain,
% 0.45/0.64 ( member(X0,flip_range_of(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X0) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_874_6) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1820,plain,
% 0.45/0.64 ( member(X0,flip_range_of(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X0) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_171]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1821,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,flip_range_of(X3))
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1820]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_170,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(X0,flip_range_of(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X2) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_874_5) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1818,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(X0,flip_range_of(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X2) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_170]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1819,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,flip_range_of(X3))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1818]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_169,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | member(X0,flip_range_of(X2))
% 0.45/0.64 | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_874_4) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1816,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | member(X0,flip_range_of(X2))
% 0.45/0.64 | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X4) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_169]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1817,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,flip_range_of(X3))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1816]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_165,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.45/0.64 | ~ member(ordered_pair(X1,ordered_pair(X3,X2)),X4)
% 0.45/0.64 | member(X0,flip_range_of(X4)) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_874_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1808,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.45/0.64 | ~ member(ordered_pair(X1,ordered_pair(X3,X2)),X4)
% 0.45/0.64 | member(X0,flip_range_of(X4)) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_165]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1809,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,flip_range_of(X3))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1808]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_164,plain,
% 0.45/0.64 ( member(X0,rotate_right(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X0) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_873_6) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1806,plain,
% 0.45/0.64 ( member(X0,rotate_right(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X0) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_164]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1807,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,rotate_right(X3))
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1806]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_163,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(X0,rotate_right(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X4) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_873_5) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1804,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(X0,rotate_right(X1))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.45/0.64 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X4) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_163]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1805,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,rotate_right(X3))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1804]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_162,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | member(X0,rotate_right(X2))
% 0.45/0.64 | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X3) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_873_4) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1802,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | member(X0,rotate_right(X2))
% 0.45/0.64 | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X3) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_162]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1803,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,rotate_right(X3))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1802]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_158,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X1)),X4)
% 0.45/0.64 | member(X0,rotate_right(X4)) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_873_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1794,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X3)
% 0.45/0.64 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.45/0.64 | ~ member(ordered_pair(X2,ordered_pair(X3,X1)),X4)
% 0.45/0.64 | member(X0,rotate_right(X4)) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_158]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1795,plain,
% 0.45/0.64 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.45/0.64 | member(X4,rotate_right(X3))
% 0.45/0.64 | ~ little_set(X4)
% 0.45/0.64 | ~ little_set(X2)
% 0.45/0.64 | ~ little_set(X0)
% 0.45/0.64 | ~ little_set(X1)
% 0.45/0.64 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1794]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_146,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.45/0.64 | member(X0,plus)
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.45/0.64 | ~ member(X3,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_867_5) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1770,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.45/0.64 | member(X0,plus)
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.45/0.64 | ~ member(X3,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_146]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1771,plain,
% 0.45/0.64 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.45/0.64 | member(X3,plus)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | ~ member(X0,natural_numbers)
% 0.45/0.64 | ~ little_set(X3) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1770]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_145,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.45/0.64 | member(X0,plus)
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.45/0.64 | ~ member(X3,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_867_4) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1768,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.45/0.64 | member(X0,plus)
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.45/0.64 | ~ member(X3,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_145]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1769,plain,
% 0.45/0.64 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.45/0.64 | member(X3,plus)
% 0.45/0.64 | ~ member(X0,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | ~ little_set(X3) ),
% 0.45/0.64 inference(rewriting,[status(thm)],[c_1768]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_141,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X3,natural_numbers)
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.45/0.64 | member(X0,plus)
% 0.45/0.64 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0)) ),
% 0.45/0.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_867_0) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1760,plain,
% 0.45/0.64 ( ~ little_set(X0)
% 0.45/0.64 | ~ member(X1,natural_numbers)
% 0.45/0.64 | ~ member(X2,natural_numbers)
% 0.45/0.64 | ~ member(X3,natural_numbers)
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.45/0.64 | member(X0,plus)
% 0.45/0.64 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0)) ),
% 0.45/0.64 inference(copy,[status(esa)],[c_141]) ).
% 0.45/0.64
% 0.45/0.64 cnf(c_1761,plain,
% 0.45/0.64 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.45/0.64 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.45/0.65 | member(X3,plus)
% 0.45/0.65 | ~ member(X0,natural_numbers)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ little_set(X3) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1760]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_136,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(f53(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_866_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1750,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(f53(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_136]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1751,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(f53(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,times)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1750]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_131,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(f52(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_865_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1740,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(f52(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_131]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1741,plain,
% 0.45/0.65 ( member(f52(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | ~ member(X0,times)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1740]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_126,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(f51(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_864_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1730,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(f51(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_126]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1731,plain,
% 0.45/0.65 ( member(f51(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | ~ member(X0,times)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1730]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_120,plain,
% 0.45/0.65 ( ~ associative(X0,X1)
% 0.45/0.65 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.45/0.65 | ~ member(X4,X0)
% 0.45/0.65 | ~ member(X3,X0)
% 0.45/0.65 | ~ member(X2,X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_861_3) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1718,plain,
% 0.45/0.65 ( ~ associative(X0,X1)
% 0.45/0.65 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.45/0.65 | ~ member(X4,X0)
% 0.45/0.65 | ~ member(X3,X0)
% 0.45/0.65 | ~ member(X2,X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_120]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1719,plain,
% 0.45/0.65 ( ~ member(X0,X1)
% 0.45/0.65 | ~ member(X2,X1)
% 0.45/0.65 | ~ member(X3,X1)
% 0.45/0.65 | ~ associative(X1,X4)
% 0.45/0.65 | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X3,X2),X0) = apply_to_two_arguments(X4,X3,apply_to_two_arguments(X4,X2,X0)) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1718]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_119,plain,
% 0.45/0.65 ( ~ associative(X0,X1)
% 0.45/0.65 | ~ member(X2,X0)
% 0.45/0.65 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.45/0.65 | ~ member(X4,X0)
% 0.45/0.65 | ~ member(X3,X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_861_2) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1716,plain,
% 0.45/0.65 ( ~ associative(X0,X1)
% 0.45/0.65 | ~ member(X2,X0)
% 0.45/0.65 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.45/0.65 | ~ member(X4,X0)
% 0.45/0.65 | ~ member(X3,X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_119]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1717,plain,
% 0.45/0.65 ( ~ member(X0,X1)
% 0.45/0.65 | ~ member(X2,X1)
% 0.45/0.65 | ~ member(X3,X1)
% 0.45/0.65 | ~ associative(X1,X4)
% 0.45/0.65 | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X0,X3),X2) = apply_to_two_arguments(X4,X0,apply_to_two_arguments(X4,X3,X2)) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1716]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_117,plain,
% 0.45/0.65 ( ~ associative(X0,X1)
% 0.45/0.65 | ~ member(X2,X0)
% 0.45/0.65 | ~ member(X3,X0)
% 0.45/0.65 | ~ member(X4,X0)
% 0.45/0.65 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_861_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1712,plain,
% 0.45/0.65 ( ~ associative(X0,X1)
% 0.45/0.65 | ~ member(X2,X0)
% 0.45/0.65 | ~ member(X3,X0)
% 0.45/0.65 | ~ member(X4,X0)
% 0.45/0.65 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_117]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1713,plain,
% 0.45/0.65 ( ~ member(X0,X1)
% 0.45/0.65 | ~ member(X2,X1)
% 0.45/0.65 | ~ member(X3,X1)
% 0.45/0.65 | ~ associative(X1,X4)
% 0.45/0.65 | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X0,X2),X3) = apply_to_two_arguments(X4,X0,apply_to_two_arguments(X4,X2,X3)) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1712]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_112,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | member(f50(X0,X1),natural_numbers)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_860_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1702,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | member(f50(X0,X1),natural_numbers)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_112]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1703,plain,
% 0.45/0.65 ( member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.45/0.65 | member(f50(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,times)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1702]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_107,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | member(f45(X0,X1),natural_numbers)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_859_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1692,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | member(f45(X0,X1),natural_numbers)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_107]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1693,plain,
% 0.45/0.65 ( member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.45/0.65 | member(f45(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,plus)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1692]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_100,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f48(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_857_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1678,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f48(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_100]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1679,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f48(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,plus)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1678]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_95,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f47(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_856_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1668,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f47(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_95]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1669,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f47(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,plus)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1668]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_90,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f46(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_855_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1658,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f46(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_90]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1659,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(f46(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,plus)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1658]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_75,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ associative(X0,X1)
% 0.45/0.65 | ~ identity(X0,X1,X2)
% 0.45/0.65 | ~ inverse(X0,X1,X2,X3)
% 0.45/0.65 | group(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_850_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1628,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ associative(X0,X1)
% 0.45/0.65 | ~ identity(X0,X1,X2)
% 0.45/0.65 | ~ inverse(X0,X1,X2,X3)
% 0.45/0.65 | group(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_75]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1629,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ inverse(X0,X1,X2,X3)
% 0.45/0.65 | ~ associative(X0,X1)
% 0.45/0.65 | ~ identity(X0,X1,X2)
% 0.45/0.65 | group(X0,X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1628]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_73,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.45/0.65 | member(X0,times)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.45/0.65 | ~ member(X3,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ member(X1,natural_numbers) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_849_5) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1624,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.45/0.65 | member(X0,times)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.45/0.65 | ~ member(X3,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ member(X1,natural_numbers) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_73]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1625,plain,
% 0.45/0.65 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.45/0.65 | member(X3,times)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | ~ member(X0,natural_numbers)
% 0.45/0.65 | ~ little_set(X3) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1624]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_72,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.45/0.65 | member(X0,times)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.45/0.65 | ~ member(X3,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_849_4) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1622,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.45/0.65 | member(X0,times)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.45/0.65 | ~ member(X3,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_72]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1623,plain,
% 0.45/0.65 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.45/0.65 | member(X3,times)
% 0.45/0.65 | ~ member(X0,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | ~ little_set(X3) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1622]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_68,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ member(X3,natural_numbers)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.45/0.65 | member(X0,times)
% 0.45/0.65 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_849_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1614,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ member(X3,natural_numbers)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.45/0.65 | member(X0,times)
% 0.45/0.65 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_68]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1615,plain,
% 0.45/0.65 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.45/0.65 | member(X3,times)
% 0.45/0.65 | ~ member(X0,natural_numbers)
% 0.45/0.65 | ~ member(X1,natural_numbers)
% 0.45/0.65 | ~ member(X2,natural_numbers)
% 0.45/0.65 | ~ little_set(X3) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1614]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_63,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_848_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1604,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_63]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1605,plain,
% 0.45/0.65 ( member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | ~ member(X0,times)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1604]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_54,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_846_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1586,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_54]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1587,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.45/0.65 | ~ member(X0,plus)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1586]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_44,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.45/0.65 | member(f45(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_843_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1566,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.45/0.65 | member(f45(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_44]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1567,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.45/0.65 | member(f45(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,plus)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1566]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_39,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_842_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1556,plain,
% 0.45/0.65 ( ~ member(X0,plus)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_39]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1557,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.45/0.65 | ~ member(X0,plus)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1556]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_34,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.45/0.65 | member(f50(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_841_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1546,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.45/0.65 | member(f50(X0,X1),natural_numbers)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_34]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1547,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.45/0.65 | member(f50(X0,X1),natural_numbers)
% 0.45/0.65 | ~ member(X0,times)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1546]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_29,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_840_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1536,plain,
% 0.45/0.65 ( ~ member(X0,times)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.45/0.65 | member(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_29]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1537,plain,
% 0.45/0.65 ( ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.45/0.65 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.45/0.65 | ~ member(X0,times)
% 0.45/0.65 | member(X0,X1)
% 0.45/0.65 | ~ little_set(X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1536]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_21,plain,
% 0.45/0.65 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 0.45/0.65 | ~ member(X6,X1)
% 0.45/0.65 | ~ member(X5,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_836_2) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1520,plain,
% 0.45/0.65 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 0.45/0.65 | ~ member(X6,X1)
% 0.45/0.65 | ~ member(X5,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_21]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1521,plain,
% 0.45/0.65 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ member(X5,X1)
% 0.45/0.65 | ~ member(X6,X1)
% 0.45/0.65 | apply(X0,apply_to_two_arguments(X2,X6,X5)) = apply_to_two_arguments(X4,apply(X0,X6),apply(X0,X5)) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1520]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_18,plain,
% 0.45/0.65 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.45/0.65 | homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_835_4) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1514,plain,
% 0.45/0.65 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.45/0.65 | homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_18]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1515,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2)
% 0.45/0.65 | member(f33(X0,X1,X2,X3,X4),X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1514]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_14,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ closed(X2,X3)
% 0.45/0.65 | ~ maps(X4,X0,X2)
% 0.45/0.65 | homomorphism(X4,X0,X1,X2,X3)
% 0.45/0.65 | member(f33(X4,X0,X1,X2,X3),X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_835_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1506,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ closed(X2,X3)
% 0.45/0.65 | ~ maps(X4,X0,X2)
% 0.45/0.65 | homomorphism(X4,X0,X1,X2,X3)
% 0.45/0.65 | member(f33(X4,X0,X1,X2,X3),X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_14]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1507,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X1,X2)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | member(f33(X0,X1,X2,X3,X4),X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1506]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_13,plain,
% 0.45/0.65 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.45/0.65 | homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_834_4) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1504,plain,
% 0.45/0.65 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.45/0.65 | homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_13]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1505,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2)
% 0.45/0.65 | member(f32(X0,X1,X2,X3,X4),X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1504]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_9,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ closed(X2,X3)
% 0.45/0.65 | ~ maps(X4,X0,X2)
% 0.45/0.65 | homomorphism(X4,X0,X1,X2,X3)
% 0.45/0.65 | member(f32(X4,X0,X1,X2,X3),X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_834_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1496,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ closed(X2,X3)
% 0.45/0.65 | ~ maps(X4,X0,X2)
% 0.45/0.65 | homomorphism(X4,X0,X1,X2,X3)
% 0.45/0.65 | member(f32(X4,X0,X1,X2,X3),X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_9]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1497,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X1,X2)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | member(f32(X0,X1,X2,X3,X4),X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1496]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_5,plain,
% 0.45/0.65 ( ~ maps(X0,X1,X1)
% 0.45/0.65 | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 0.45/0.65 | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3
% 0.45/0.65 | inverse(X1,X2,X3,X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_833_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1488,plain,
% 0.45/0.65 ( ~ maps(X0,X1,X1)
% 0.45/0.65 | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 0.45/0.65 | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3
% 0.45/0.65 | inverse(X1,X2,X3,X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_5]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1489,plain,
% 0.45/0.65 ( ~ maps(X0,X1,X1)
% 0.45/0.65 | inverse(X1,X2,X3,X0)
% 0.45/0.65 | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 0.45/0.65 | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3 ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1488]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_4,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4)))
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_832_4) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1486,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4)))
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_4]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1487,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | ~ closed(X1,X2)
% 0.45/0.65 | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4))) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1486]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_0,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ closed(X2,X3)
% 0.45/0.65 | ~ maps(X4,X0,X2)
% 0.45/0.65 | apply(X4,apply_to_two_arguments(X1,f32(X4,X0,X1,X2,X3),f33(X4,X0,X1,X2,X3))) != apply_to_two_arguments(X3,apply(X4,f32(X4,X0,X1,X2,X3)),apply(X4,f33(X4,X0,X1,X2,X3)))
% 0.45/0.65 | homomorphism(X4,X0,X1,X2,X3) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_832_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1478,plain,
% 0.45/0.65 ( ~ closed(X0,X1)
% 0.45/0.65 | ~ closed(X2,X3)
% 0.45/0.65 | ~ maps(X4,X0,X2)
% 0.45/0.65 | apply(X4,apply_to_two_arguments(X1,f32(X4,X0,X1,X2,X3),f33(X4,X0,X1,X2,X3))) != apply_to_two_arguments(X3,apply(X4,f32(X4,X0,X1,X2,X3)),apply(X4,f33(X4,X0,X1,X2,X3)))
% 0.45/0.65 | homomorphism(X4,X0,X1,X2,X3) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_0]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_1479,plain,
% 0.45/0.65 ( homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.65 | ~ maps(X0,X1,X3)
% 0.45/0.65 | ~ closed(X1,X2)
% 0.45/0.65 | ~ closed(X3,X4)
% 0.45/0.65 | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4))) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_1478]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_631,plain,
% 0.45/0.65 ( little_set(non_ordered_pair(X0,X1)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_48_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2738,plain,
% 0.45/0.65 ( little_set(non_ordered_pair(X0,X1)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_631]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_630,plain,
% 0.45/0.65 ( ~ member(X0,empty_set) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_49_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2736,plain,
% 0.45/0.65 ( ~ member(X0,empty_set) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_630]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_627,plain,
% 0.45/0.65 ( function(f25) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_52_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2732,plain,( function(f25) ),inference(copy,[status(esa)],[c_627]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_626,plain,
% 0.45/0.65 ( member(empty_set,infinity) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_53_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2730,plain,
% 0.45/0.65 ( member(empty_set,infinity) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_626]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_625,plain,
% 0.45/0.65 ( little_set(infinity) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_54_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2728,plain,
% 0.45/0.65 ( little_set(infinity) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_625]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_623,plain,
% 0.45/0.65 ( ~ one_to_one_function(X0) | function(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1039_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2724,plain,
% 0.45/0.65 ( ~ one_to_one_function(X0) | function(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_623]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_621,plain,
% 0.45/0.65 ( ~ function(X0) | single_valued_set(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1038_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2720,plain,
% 0.45/0.65 ( ~ function(X0) | single_valued_set(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_621]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2721,plain,
% 0.45/0.65 ( single_valued_set(X0) | ~ function(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2720]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_619,plain,
% 0.45/0.65 ( ~ function(X0) | relation(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1037_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2716,plain,
% 0.45/0.65 ( ~ function(X0) | relation(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_619]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_617,plain,
% 0.45/0.65 ( single_valued_set(X0) | little_set(f21(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1036_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2712,plain,
% 0.45/0.65 ( single_valued_set(X0) | little_set(f21(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_617]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2713,plain,
% 0.45/0.65 ( little_set(f21(X0)) | single_valued_set(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2712]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_615,plain,
% 0.45/0.65 ( single_valued_set(X0) | little_set(f20(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1035_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2708,plain,
% 0.45/0.65 ( single_valued_set(X0) | little_set(f20(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_615]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2709,plain,
% 0.45/0.65 ( little_set(f20(X0)) | single_valued_set(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2708]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_613,plain,
% 0.45/0.65 ( single_valued_set(X0) | little_set(f19(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1034_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2704,plain,
% 0.45/0.65 ( single_valued_set(X0) | little_set(f19(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_613]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2705,plain,
% 0.45/0.65 ( little_set(f19(X0)) | single_valued_set(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2704]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_611,plain,
% 0.45/0.65 ( f21(X0) != f20(X0) | single_valued_set(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1033_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2700,plain,
% 0.45/0.65 ( f21(X0) != f20(X0) | single_valued_set(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_611]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2701,plain,
% 0.45/0.65 ( single_valued_set(X0) | f21(X0) != f20(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2700]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_609,plain,
% 0.45/0.65 ( ~ finite(X0) | one_to_one_function(f58(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1032_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2696,plain,
% 0.45/0.65 ( ~ finite(X0) | one_to_one_function(f58(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_609]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_607,plain,
% 0.45/0.65 ( ~ one_to_one_function(X0) | function(converse(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1031_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2692,plain,
% 0.45/0.65 ( ~ one_to_one_function(X0) | function(converse(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_607]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_605,plain,
% 0.45/0.65 ( ~ little_set(X0) | little_set(powerset(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1030_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2688,plain,
% 0.45/0.65 ( ~ little_set(X0) | little_set(powerset(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_605]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2689,plain,
% 0.45/0.65 ( little_set(powerset(X0)) | ~ little_set(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2688]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_603,plain,
% 0.45/0.65 ( ~ little_set(X0) | little_set(sigma(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1029_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2684,plain,
% 0.45/0.65 ( ~ little_set(X0) | little_set(sigma(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_603]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2685,plain,
% 0.45/0.65 ( little_set(sigma(X0)) | ~ little_set(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2684]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_601,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(X0) | little_set(f3(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1028_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2680,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(X0) | little_set(f3(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_601]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2681,plain,
% 0.45/0.65 ( little_set(f3(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2680]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_599,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(X0) | little_set(f2(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1027_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2676,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(X0) | little_set(f2(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_599]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2677,plain,
% 0.45/0.65 ( little_set(f2(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2676]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_597,plain,
% 0.45/0.65 ( ~ finite(X0) | range_of(f58(X0)) = X0 ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1026_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2672,plain,
% 0.45/0.65 ( ~ finite(X0) | range_of(f58(X0)) = X0 ),
% 0.45/0.65 inference(copy,[status(esa)],[c_597]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_592,plain,
% 0.45/0.65 ( ~ little_set(X0) | member(X0,universal_set) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1024_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2662,plain,
% 0.45/0.65 ( ~ little_set(X0) | member(X0,universal_set) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_592]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2663,plain,
% 0.45/0.65 ( member(X0,universal_set) | ~ little_set(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2662]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_590,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(f18(X0)) | relation(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1023_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2658,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(f18(X0)) | relation(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_590]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_588,plain,
% 0.45/0.65 ( X0 = empty_set | disjoint(f24(X0),X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1022_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2654,plain,
% 0.45/0.65 ( X0 = empty_set | disjoint(f24(X0),X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_588]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2655,plain,
% 0.45/0.65 ( disjoint(f24(X0),X0) | X0 = empty_set ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2654]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_586,plain,
% 0.45/0.65 ( X0 = empty_set | member(f24(X0),X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1021_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2650,plain,
% 0.45/0.65 ( X0 = empty_set | member(f24(X0),X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_586]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2651,plain,
% 0.45/0.65 ( member(f24(X0),X0) | X0 = empty_set ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2650]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_584,plain,
% 0.45/0.65 ( ~ member(X0,prime_numbers) | X0 != empty_set ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1020_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2646,plain,
% 0.45/0.65 ( ~ member(X0,prime_numbers) | X0 != empty_set ),
% 0.45/0.65 inference(copy,[status(esa)],[c_584]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_582,plain,
% 0.45/0.65 ( ~ member(X0,identity_relation) | ordered_pair_predicate(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1019_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2642,plain,
% 0.45/0.65 ( ~ member(X0,identity_relation) | ordered_pair_predicate(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_582]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_580,plain,
% 0.45/0.65 ( ~ member(X0,estin) | ordered_pair_predicate(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1018_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2638,plain,
% 0.45/0.65 ( ~ member(X0,estin) | ordered_pair_predicate(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_580]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_578,plain,
% 0.45/0.65 ( relation(X0) | member(f18(X0),X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1017_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2634,plain,
% 0.45/0.65 ( relation(X0) | member(f18(X0),X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_578]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2635,plain,
% 0.45/0.65 ( member(f18(X0),X0) | relation(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2634]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_576,plain,
% 0.45/0.65 ( ~ finite(X0) | member(f57(X0),natural_numbers) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1016_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2630,plain,
% 0.45/0.65 ( ~ finite(X0) | member(f57(X0),natural_numbers) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_576]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2631,plain,
% 0.45/0.65 ( member(f57(X0),natural_numbers) | ~ finite(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2630]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_574,plain,
% 0.45/0.65 ( ~ member(X0,prime_numbers) | X0 != successor(empty_set) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1015_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2626,plain,
% 0.45/0.65 ( ~ member(X0,prime_numbers) | X0 != successor(empty_set) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_574]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_572,plain,
% 0.45/0.65 ( ~ proper_subset(X0,X1) | X0 != X1 ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1014_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2622,plain,
% 0.45/0.65 ( ~ proper_subset(X0,X1) | X0 != X1 ),
% 0.45/0.65 inference(copy,[status(esa)],[c_572]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_570,plain,
% 0.45/0.65 ( ~ closed(X0,X1) | little_set(X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1013_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2618,plain,
% 0.45/0.65 ( ~ closed(X0,X1) | little_set(X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_570]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_568,plain,
% 0.45/0.65 ( ~ closed(X0,X1) | little_set(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1012_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2614,plain,
% 0.45/0.65 ( ~ closed(X0,X1) | little_set(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_568]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_566,plain,
% 0.45/0.65 ( ~ member(X0,X1) | little_set(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1011_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2610,plain,
% 0.45/0.65 ( ~ member(X0,X1) | little_set(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_566]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_563,plain,
% 0.45/0.65 ( ~ function(X0) | ~ function(converse(X0)) | one_to_one_function(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1010_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2604,plain,
% 0.45/0.65 ( ~ function(X0) | ~ function(converse(X0)) | one_to_one_function(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_563]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2605,plain,
% 0.45/0.65 ( one_to_one_function(X0) | ~ function(converse(X0)) | ~ function(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2604]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_561,plain,
% 0.45/0.65 ( ~ member(X0,identity_relation) | first(X0) = second(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1009_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2600,plain,
% 0.45/0.65 ( ~ member(X0,identity_relation) | first(X0) = second(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_561]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_547,plain,
% 0.45/0.65 ( little_set(f1(X0,X1)) | X0 = X1 ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1004_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2572,plain,
% 0.45/0.65 ( little_set(f1(X0,X1)) | X0 = X1 ),
% 0.45/0.65 inference(copy,[status(esa)],[c_547]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_545,plain,
% 0.45/0.65 ( ~ member(X0,even_numbers) | member(X0,natural_numbers) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1003_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2568,plain,
% 0.45/0.65 ( ~ member(X0,even_numbers) | member(X0,natural_numbers) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_545]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2569,plain,
% 0.45/0.65 ( member(X0,natural_numbers) | ~ member(X0,even_numbers) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2568]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_543,plain,
% 0.45/0.65 ( ~ member(X0,twin_prime_numbers) | member(X0,prime_numbers) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1002_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2564,plain,
% 0.45/0.65 ( ~ member(X0,twin_prime_numbers) | member(X0,prime_numbers) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_543]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2565,plain,
% 0.45/0.65 ( member(X0,prime_numbers) | ~ member(X0,twin_prime_numbers) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2564]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_541,plain,
% 0.45/0.65 ( ~ member(X0,prime_numbers) | member(X0,natural_numbers) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1001_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2560,plain,
% 0.45/0.65 ( ~ member(X0,prime_numbers) | member(X0,natural_numbers) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_541]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2561,plain,
% 0.45/0.65 ( member(X0,natural_numbers) | ~ member(X0,prime_numbers) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2560]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_536,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(X0) | ordered_pair(f2(X0),f3(X0)) = X0 ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_999_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2550,plain,
% 0.45/0.65 ( ~ ordered_pair_predicate(X0) | ordered_pair(f2(X0),f3(X0)) = X0 ),
% 0.45/0.65 inference(copy,[status(esa)],[c_536]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_534,plain,
% 0.45/0.65 ( ~ member(X0,converse(X1)) | ordered_pair_predicate(X0) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_998_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2546,plain,
% 0.45/0.65 ( ~ member(X0,converse(X1)) | ordered_pair_predicate(X0) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_534]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_532,plain,
% 0.45/0.65 ( ~ group(X0,X1) | associative(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_997_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2542,plain,
% 0.45/0.65 ( ~ group(X0,X1) | associative(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_532]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2543,plain,
% 0.45/0.65 ( associative(X0,X1) | ~ group(X0,X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2542]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_530,plain,
% 0.45/0.65 ( ~ group(X0,X1) | closed(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_996_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2538,plain,
% 0.45/0.65 ( ~ group(X0,X1) | closed(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_530]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2539,plain,
% 0.45/0.65 ( closed(X0,X1) | ~ group(X0,X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2538]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_528,plain,
% 0.45/0.65 ( ~ proper_subset(X0,X1) | subset(X0,X1) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_995_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2534,plain,
% 0.45/0.65 ( ~ proper_subset(X0,X1) | subset(X0,X1) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_528]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2535,plain,
% 0.45/0.65 ( subset(X0,X1) | ~ proper_subset(X0,X1) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2534]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_525,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | member(X0,natural_numbers)
% 0.45/0.65 | member(empty_set,f44(X0)) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_994_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2528,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | member(X0,natural_numbers)
% 0.45/0.65 | member(empty_set,f44(X0)) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_525]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2529,plain,
% 0.45/0.65 ( member(empty_set,f44(X0))
% 0.45/0.65 | member(X0,natural_numbers)
% 0.45/0.65 | ~ little_set(X0) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2528]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_523,plain,
% 0.45/0.65 ( ~ member(X0,even_numbers) | member(f59(X0),natural_numbers) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_993_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2524,plain,
% 0.45/0.65 ( ~ member(X0,even_numbers) | member(f59(X0),natural_numbers) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_523]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2525,plain,
% 0.45/0.65 ( member(f59(X0),natural_numbers) | ~ member(X0,even_numbers) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2524]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_521,plain,
% 0.45/0.65 ( ~ member(X0,infinity) | member(successor(X0),infinity) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_992_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2520,plain,
% 0.45/0.65 ( ~ member(X0,infinity) | member(successor(X0),infinity) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_521]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2521,plain,
% 0.45/0.65 ( member(successor(X0),infinity) | ~ member(X0,infinity) ),
% 0.45/0.65 inference(rewriting,[status(thm)],[c_2520]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_518,plain,
% 0.45/0.65 ( ~ subset(X0,X1) | proper_subset(X0,X1) | X0 = X1 ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_991_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2514,plain,
% 0.45/0.65 ( ~ subset(X0,X1) | proper_subset(X0,X1) | X0 = X1 ),
% 0.45/0.65 inference(copy,[status(esa)],[c_518]) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_507,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | X2 != ordered_pair(X0,X1)
% 0.45/0.65 | ordered_pair_predicate(X2) ),
% 0.45/0.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_988_0) ).
% 0.45/0.65
% 0.45/0.65 cnf(c_2492,plain,
% 0.45/0.65 ( ~ little_set(X0)
% 0.45/0.65 | ~ little_set(X1)
% 0.45/0.65 | X2 != ordered_pair(X0,X1)
% 0.45/0.65 | ordered_pair_predicate(X2) ),
% 0.45/0.65 inference(copy,[status(esa)],[c_507]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2493,plain,
% 0.45/0.66 ( ~ little_set(X0)
% 0.45/0.66 | ~ little_set(X1)
% 0.45/0.66 | ordered_pair_predicate(X2)
% 0.45/0.66 | X2 != ordered_pair(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2492]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_502,plain,
% 0.45/0.66 ( ~ member(X0,f54(X0)) | member(X0,times) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_986_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2482,plain,
% 0.45/0.66 ( ~ member(X0,f54(X0)) | member(X0,times) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_502]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2483,plain,
% 0.45/0.66 ( member(X0,times) | ~ member(X0,f54(X0)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2482]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_500,plain,
% 0.45/0.66 ( ~ member(X0,f49(X0)) | member(X0,plus) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_985_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2478,plain,
% 0.45/0.66 ( ~ member(X0,f49(X0)) | member(X0,plus) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_500]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2479,plain,
% 0.45/0.66 ( member(X0,plus) | ~ member(X0,f49(X0)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2478]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_498,plain,
% 0.45/0.66 ( ~ member(X0,f44(X0)) | member(X0,natural_numbers) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_984_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2474,plain,
% 0.45/0.66 ( ~ member(X0,f44(X0)) | member(X0,natural_numbers) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_498]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2475,plain,
% 0.45/0.66 ( member(X0,natural_numbers) | ~ member(X0,f44(X0)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2474]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_496,plain,
% 0.45/0.66 ( ~ member(X0,powerset(X1)) | subset(X0,X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_983_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2470,plain,
% 0.45/0.66 ( ~ member(X0,powerset(X1)) | subset(X0,X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_496]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_494,plain,
% 0.45/0.66 ( ~ member(X0,estin) | member(first(X0),second(X0)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_982_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2466,plain,
% 0.45/0.66 ( ~ member(X0,estin) | member(first(X0),second(X0)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_494]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2467,plain,
% 0.45/0.66 ( member(first(X0),second(X0)) | ~ member(X0,estin) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2466]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_483,plain,
% 0.45/0.66 ( ~ member(X0,twin_prime_numbers)
% 0.45/0.66 | member(successor(successor(X0)),prime_numbers) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_978_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2444,plain,
% 0.45/0.66 ( ~ member(X0,twin_prime_numbers)
% 0.45/0.66 | member(successor(successor(X0)),prime_numbers) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_483]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2445,plain,
% 0.45/0.66 ( member(successor(successor(X0)),prime_numbers)
% 0.45/0.66 | ~ member(X0,twin_prime_numbers) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2444]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_481,plain,
% 0.45/0.66 ( commutes(X0,X1) | member(f42(X0,X1),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_977_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2440,plain,
% 0.45/0.66 ( commutes(X0,X1) | member(f42(X0,X1),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_481]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2441,plain,
% 0.45/0.66 ( member(f42(X0,X1),X0) | commutes(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2440]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_479,plain,
% 0.45/0.66 ( commutes(X0,X1) | member(f41(X0,X1),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_976_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2436,plain,
% 0.45/0.66 ( commutes(X0,X1) | member(f41(X0,X1),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_479]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2437,plain,
% 0.45/0.66 ( member(f41(X0,X1),X0) | commutes(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2436]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_477,plain,
% 0.45/0.66 ( associative(X0,X1) | member(f36(X0,X1),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_975_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2432,plain,
% 0.45/0.66 ( associative(X0,X1) | member(f36(X0,X1),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_477]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2433,plain,
% 0.45/0.66 ( member(f36(X0,X1),X0) | associative(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2432]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_475,plain,
% 0.45/0.66 ( associative(X0,X1) | member(f35(X0,X1),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_974_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2428,plain,
% 0.45/0.66 ( associative(X0,X1) | member(f35(X0,X1),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_475]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2429,plain,
% 0.45/0.66 ( member(f35(X0,X1),X0) | associative(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2428]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_473,plain,
% 0.45/0.66 ( associative(X0,X1) | member(f34(X0,X1),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_973_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2424,plain,
% 0.45/0.66 ( associative(X0,X1) | member(f34(X0,X1),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_473]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2425,plain,
% 0.45/0.66 ( member(f34(X0,X1),X0) | associative(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2424]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_471,plain,
% 0.45/0.66 ( disjoint(X0,X1) | member(f23(X0,X1),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_972_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2420,plain,
% 0.45/0.66 ( disjoint(X0,X1) | member(f23(X0,X1),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_471]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2421,plain,
% 0.45/0.66 ( member(f23(X0,X1),X1) | disjoint(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2420]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_469,plain,
% 0.45/0.66 ( disjoint(X0,X1) | member(f23(X0,X1),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_971_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2416,plain,
% 0.45/0.66 ( disjoint(X0,X1) | member(f23(X0,X1),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_469]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2417,plain,
% 0.45/0.66 ( member(f23(X0,X1),X0) | disjoint(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2416]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_467,plain,
% 0.45/0.66 ( subset(X0,X1) | member(f17(X0,X1),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_970_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2412,plain,
% 0.45/0.66 ( subset(X0,X1) | member(f17(X0,X1),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_467]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2413,plain,
% 0.45/0.66 ( member(f17(X0,X1),X0) | subset(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2412]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_465,plain,
% 0.45/0.66 ( ~ member(X0,complement(X1)) | ~ member(X0,X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_969_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2408,plain,
% 0.45/0.66 ( ~ member(X0,complement(X1)) | ~ member(X0,X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_465]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_450,plain,
% 0.45/0.66 ( ~ subset(X0,X1) | member(X2,X1) | ~ member(X2,X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_965_1) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2378,plain,
% 0.45/0.66 ( ~ subset(X0,X1) | member(X2,X1) | ~ member(X2,X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_450]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2379,plain,
% 0.45/0.66 ( member(X0,X1) | ~ member(X0,X2) | ~ subset(X2,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2378]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_447,plain,
% 0.45/0.66 ( ~ member(X0,range_of(X1)) | ordered_pair_predicate(f27(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_964_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2372,plain,
% 0.45/0.66 ( ~ member(X0,range_of(X1)) | ordered_pair_predicate(f27(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_447]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_445,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1)) | little_set(f14(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_963_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2368,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1)) | little_set(f14(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_445]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_443,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1)) | little_set(f13(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_962_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2364,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1)) | little_set(f13(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_443]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_441,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1)) | little_set(f12(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_961_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2360,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1)) | little_set(f12(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_441]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_439,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1)) | little_set(f11(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_960_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2356,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1)) | little_set(f11(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_439]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_437,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1)) | little_set(f10(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_959_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2352,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1)) | little_set(f10(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_437]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_435,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1)) | little_set(f9(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_958_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2348,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1)) | little_set(f9(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_435]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_433,plain,
% 0.45/0.66 ( ~ member(X0,domain_of(X1)) | ordered_pair_predicate(f8(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_957_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2344,plain,
% 0.45/0.66 ( ~ member(X0,domain_of(X1)) | ordered_pair_predicate(f8(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_433]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_431,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | little_set(f7(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_956_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2340,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | little_set(f7(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_431]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_429,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | little_set(f6(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_955_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2336,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | little_set(f6(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_429]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_427,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | little_set(f5(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_954_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2332,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | little_set(f5(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_427]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_425,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | little_set(f4(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_953_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2328,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | little_set(f4(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_425]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_423,plain,
% 0.45/0.66 ( ~ member(X0,range_of(X1)) | second(f27(X0,X1)) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_952_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2324,plain,
% 0.45/0.66 ( ~ member(X0,range_of(X1)) | second(f27(X0,X1)) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_423]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_421,plain,
% 0.45/0.66 ( ~ member(X0,domain_of(X1)) | first(f8(X0,X1)) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_951_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2320,plain,
% 0.45/0.66 ( ~ member(X0,domain_of(X1)) | first(f8(X0,X1)) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_421]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_415,plain,
% 0.45/0.66 ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_949_2) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2308,plain,
% 0.45/0.66 ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_415]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_406,plain,
% 0.45/0.66 ( ~ member(X0,cross_product(X1,X2)) | ordered_pair_predicate(X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_947_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2290,plain,
% 0.45/0.66 ( ~ member(X0,cross_product(X1,X2)) | ordered_pair_predicate(X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_406]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_404,plain,
% 0.45/0.66 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X2 | X0 = X1 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_946_1) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2286,plain,
% 0.45/0.66 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X2 | X0 = X1 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_404]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_403,plain,
% 0.45/0.66 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_946_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2284,plain,
% 0.45/0.66 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_403]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_401,plain,
% 0.45/0.66 ( ~ disjoint(X0,X1) | ~ member(X2,X1) | ~ member(X2,X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_945_1) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2280,plain,
% 0.45/0.66 ( ~ disjoint(X0,X1) | ~ member(X2,X1) | ~ member(X2,X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_401]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2281,plain,
% 0.45/0.66 ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X2,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2280]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_394,plain,
% 0.45/0.66 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f21(X0)),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_943_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2266,plain,
% 0.45/0.66 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f21(X0)),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_394]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2267,plain,
% 0.45/0.66 ( member(ordered_pair(f19(X0),f21(X0)),X0) | single_valued_set(X0) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2266]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_392,plain,
% 0.45/0.66 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f20(X0)),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_942_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2262,plain,
% 0.45/0.66 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f20(X0)),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_392]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2263,plain,
% 0.45/0.66 ( member(ordered_pair(f19(X0),f20(X0)),X0) | single_valued_set(X0) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2262]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_390,plain,
% 0.45/0.66 ( ~ member(X0,range_of(X1)) | member(f27(X0,X1),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_941_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2258,plain,
% 0.45/0.66 ( ~ member(X0,range_of(X1)) | member(f27(X0,X1),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_390]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2259,plain,
% 0.45/0.66 ( member(f27(X0,X1),X1) | ~ member(X0,range_of(X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2258]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_388,plain,
% 0.45/0.66 ( ~ member(X0,sigma(X1)) | member(X0,f16(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_940_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2254,plain,
% 0.45/0.66 ( ~ member(X0,sigma(X1)) | member(X0,f16(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_388]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2255,plain,
% 0.45/0.66 ( member(X0,f16(X0,X1)) | ~ member(X0,sigma(X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2254]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_386,plain,
% 0.45/0.66 ( ~ member(X0,sigma(X1)) | member(f16(X0,X1),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_939_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2250,plain,
% 0.45/0.66 ( ~ member(X0,sigma(X1)) | member(f16(X0,X1),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_386]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2251,plain,
% 0.45/0.66 ( member(f16(X0,X1),X1) | ~ member(X0,sigma(X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2250]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_384,plain,
% 0.45/0.66 ( ~ member(X0,domain_of(X1)) | member(f8(X0,X1),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_938_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2246,plain,
% 0.45/0.66 ( ~ member(X0,domain_of(X1)) | member(f8(X0,X1),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_384]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2247,plain,
% 0.45/0.66 ( member(f8(X0,X1),X1) | ~ member(X0,domain_of(X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2246]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_382,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | member(X0,f7(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_937_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2242,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | member(X0,f7(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_382]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_380,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | member(X0,f4(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_936_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2238,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | member(X0,f4(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_380]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_378,plain,
% 0.45/0.66 ( ~ finite(X0) | maps(f58(X0),f57(X0),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_935_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2234,plain,
% 0.45/0.66 ( ~ finite(X0) | maps(f58(X0),f57(X0),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_378]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2235,plain,
% 0.45/0.66 ( maps(f58(X0),f57(X0),X0) | ~ finite(X0) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2234]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_376,plain,
% 0.45/0.66 ( ~ member(f17(X0,X1),X1) | subset(X0,X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_934_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2230,plain,
% 0.45/0.66 ( ~ member(f17(X0,X1),X1) | subset(X0,X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_376]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_374,plain,
% 0.45/0.66 ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_933_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2226,plain,
% 0.45/0.66 ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_374]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_372,plain,
% 0.45/0.66 ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_932_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2222,plain,
% 0.45/0.66 ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_372]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_368,plain,
% 0.45/0.66 ( ~ little_set(X0)
% 0.45/0.66 | ~ member(X1,f44(X0))
% 0.45/0.66 | member(X0,natural_numbers)
% 0.45/0.66 | member(successor(X1),f44(X0)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_931_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2214,plain,
% 0.45/0.66 ( ~ little_set(X0)
% 0.45/0.66 | ~ member(X1,f44(X0))
% 0.45/0.66 | member(X0,natural_numbers)
% 0.45/0.66 | member(successor(X1),f44(X0)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_368]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2215,plain,
% 0.45/0.66 ( member(successor(X0),f44(X1))
% 0.45/0.66 | member(X1,natural_numbers)
% 0.45/0.66 | ~ member(X0,f44(X1))
% 0.45/0.66 | ~ little_set(X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2214]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_352,plain,
% 0.45/0.66 ( member(f1(X0,X1),X0) | member(f1(X0,X1),X1) | X0 = X1 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_927_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2182,plain,
% 0.45/0.66 ( member(f1(X0,X1),X0) | member(f1(X0,X1),X1) | X0 = X1 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_352]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_350,plain,
% 0.45/0.66 ( ~ member(X0,cross_product(X1,X2)) | member(second(X0),X2) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_926_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2178,plain,
% 0.45/0.66 ( ~ member(X0,cross_product(X1,X2)) | member(second(X0),X2) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_350]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2179,plain,
% 0.45/0.66 ( member(second(X0),X1) | ~ member(X0,cross_product(X2,X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2178]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_348,plain,
% 0.45/0.66 ( ~ member(X0,cross_product(X1,X2)) | member(first(X0),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_925_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2174,plain,
% 0.45/0.66 ( ~ member(X0,cross_product(X1,X2)) | member(first(X0),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_348]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2175,plain,
% 0.45/0.66 ( member(first(X0),X1) | ~ member(X0,cross_product(X1,X2)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2174]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_347,plain,
% 0.45/0.66 ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_924_2) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2172,plain,
% 0.45/0.66 ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_347]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_343,plain,
% 0.45/0.66 ( ~ member(X0,even_numbers)
% 0.45/0.66 | apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_923_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2164,plain,
% 0.45/0.66 ( ~ member(X0,even_numbers)
% 0.45/0.66 | apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_343]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_341,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X2) | function(X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_922_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2160,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X2) | function(X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_341]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_339,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X2) | domain_of(X0) = X1 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_921_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2156,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X2) | domain_of(X0) = X1 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_339]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_337,plain,
% 0.45/0.66 ( ~ member(X0,converse(X1))
% 0.45/0.66 | member(ordered_pair(second(X0),first(X0)),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_920_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2152,plain,
% 0.45/0.66 ( ~ member(X0,converse(X1))
% 0.45/0.66 | member(ordered_pair(second(X0),first(X0)),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_337]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2153,plain,
% 0.45/0.66 ( member(ordered_pair(second(X0),first(X0)),X1)
% 0.45/0.66 | ~ member(X0,converse(X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2152]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_335,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_919_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2148,plain,
% 0.45/0.66 ( ~ member(X0,second(X1)) | ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_335]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_333,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_918_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2144,plain,
% 0.45/0.66 ( ~ member(X0,first(X1)) | ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_333]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_331,plain,
% 0.45/0.66 ( ~ identity(X0,X1,X2) | member(X2,X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_917_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2140,plain,
% 0.45/0.66 ( ~ identity(X0,X1,X2) | member(X2,X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_331]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2141,plain,
% 0.45/0.66 ( member(X0,X1) | ~ identity(X1,X2,X0) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2140]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_320,plain,
% 0.45/0.66 ( ~ group(X0,X1) | identity(X0,X1,f39(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_914_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2118,plain,
% 0.45/0.66 ( ~ group(X0,X1) | identity(X0,X1,f39(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_320]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2119,plain,
% 0.45/0.66 ( identity(X0,X1,f39(X0,X1)) | ~ group(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2118]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_318,plain,
% 0.45/0.66 ( ~ closed(X0,X1) | maps(X1,cross_product(X0,X0),X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_913_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2114,plain,
% 0.45/0.66 ( ~ closed(X0,X1) | maps(X1,cross_product(X0,X0),X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_318]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2115,plain,
% 0.45/0.66 ( maps(X0,cross_product(X1,X1),X1) | ~ closed(X1,X0) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2114]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_313,plain,
% 0.45/0.66 ( ~ member(X0,natural_numbers)
% 0.45/0.66 | member(X0,prime_numbers)
% 0.45/0.66 | X0 = empty_set
% 0.45/0.66 | X0 = successor(empty_set)
% 0.45/0.66 | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_912_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2104,plain,
% 0.45/0.66 ( ~ member(X0,natural_numbers)
% 0.45/0.66 | member(X0,prime_numbers)
% 0.45/0.66 | X0 = empty_set
% 0.45/0.66 | X0 = successor(empty_set)
% 0.45/0.66 | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_313]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2105,plain,
% 0.45/0.66 ( ~ member(X0,natural_numbers)
% 0.45/0.66 | member(X0,prime_numbers)
% 0.45/0.66 | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 0.45/0.66 | X0 = successor(empty_set)
% 0.45/0.66 | X0 = empty_set ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_2104]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_311,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X2) | subset(range_of(X0),X2) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_911_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_2100,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X2) | subset(range_of(X0),X2) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_311]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_252,plain,
% 0.45/0.66 ( ~ member(f1(X0,X1),X0) | ~ member(f1(X0,X1),X1) | X0 = X1 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_899_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1982,plain,
% 0.45/0.66 ( ~ member(f1(X0,X1),X0) | ~ member(f1(X0,X1),X1) | X0 = X1 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_252]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_248,plain,
% 0.45/0.66 ( ~ little_set(X0)
% 0.45/0.66 | ~ member(X1,natural_numbers)
% 0.45/0.66 | member(X0,times)
% 0.45/0.66 | member(ordered_pair(ordered_pair(empty_set,X1),empty_set),f54(X0)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_898_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1974,plain,
% 0.45/0.66 ( ~ little_set(X0)
% 0.45/0.66 | ~ member(X1,natural_numbers)
% 0.45/0.66 | member(X0,times)
% 0.45/0.66 | member(ordered_pair(ordered_pair(empty_set,X1),empty_set),f54(X0)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_248]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1975,plain,
% 0.45/0.66 ( member(ordered_pair(ordered_pair(empty_set,X0),empty_set),f54(X1))
% 0.45/0.66 | member(X1,times)
% 0.45/0.66 | ~ member(X0,natural_numbers)
% 0.45/0.66 | ~ little_set(X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1974]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_244,plain,
% 0.45/0.66 ( ~ little_set(X0)
% 0.45/0.66 | ~ member(X1,natural_numbers)
% 0.45/0.66 | member(X0,plus)
% 0.45/0.66 | member(ordered_pair(ordered_pair(empty_set,X1),X1),f49(X0)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_897_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1966,plain,
% 0.45/0.66 ( ~ little_set(X0)
% 0.45/0.66 | ~ member(X1,natural_numbers)
% 0.45/0.66 | member(X0,plus)
% 0.45/0.66 | member(ordered_pair(ordered_pair(empty_set,X1),X1),f49(X0)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_244]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1967,plain,
% 0.45/0.66 ( member(ordered_pair(ordered_pair(empty_set,X0),X0),f49(X1))
% 0.45/0.66 | member(X1,plus)
% 0.45/0.66 | ~ member(X0,natural_numbers)
% 0.45/0.66 | ~ little_set(X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1966]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_236,plain,
% 0.45/0.66 ( ~ member(X0,natural_numbers)
% 0.45/0.66 | ~ member(X1,natural_numbers)
% 0.45/0.66 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.45/0.66 | member(X0,even_numbers) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_895_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1950,plain,
% 0.45/0.66 ( ~ member(X0,natural_numbers)
% 0.45/0.66 | ~ member(X1,natural_numbers)
% 0.45/0.66 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.45/0.66 | member(X0,even_numbers) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_236]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1951,plain,
% 0.45/0.66 ( ~ member(X0,natural_numbers)
% 0.45/0.66 | ~ member(X1,natural_numbers)
% 0.45/0.66 | member(X0,even_numbers)
% 0.45/0.66 | apply_to_two_arguments(plus,X1,X1) != X0 ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1950]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_217,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2)) | little_set(f31(X0,X1,X2)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_890_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1912,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2)) | little_set(f31(X0,X1,X2)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_217]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_215,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2)) | little_set(f30(X0,X1,X2)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_889_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1908,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2)) | little_set(f30(X0,X1,X2)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_215]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_213,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2)) | little_set(f29(X0,X1,X2)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_888_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1904,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2)) | little_set(f29(X0,X1,X2)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_213]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_211,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | ordered_pair_predicate(f28(X0,X1,X2)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_887_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1900,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | ordered_pair_predicate(f28(X0,X1,X2)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_211]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_209,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | ordered_pair_predicate(f22(X0,X1,X2)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_886_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1896,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | ordered_pair_predicate(f22(X0,X1,X2)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_209]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_207,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | first(f28(X0,X1,X2)) = X2 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_885_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1892,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | first(f28(X0,X1,X2)) = X2 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_207]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_205,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | second(f22(X0,X1,X2)) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_884_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1888,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | second(f22(X0,X1,X2)) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_205]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_194,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | member(f28(X0,X1,X2),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_881_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1866,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | member(f28(X0,X1,X2),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_194]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1867,plain,
% 0.45/0.66 ( member(f28(X0,X1,X2),X1) | ~ member(X0,apply(X1,X2)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1866]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_192,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | member(f22(X0,X1,X2),X2) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_880_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1862,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | member(f22(X0,X1,X2),X2) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_192]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1863,plain,
% 0.45/0.66 ( member(f22(X0,X1,X2),X2) | ~ member(X0,image(X1,X2)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1862]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_182,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1))
% 0.45/0.66 | ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_877_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1842,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1))
% 0.45/0.66 | ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_182]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_180,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1))
% 0.45/0.66 | ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_876_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1838,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1))
% 0.45/0.66 | ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_180]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_156,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2))
% 0.45/0.66 | ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_872_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1790,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2))
% 0.45/0.66 | ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_156]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_154,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | member(X0,second(f28(X0,X1,X2))) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_871_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1786,plain,
% 0.45/0.66 ( ~ member(X0,apply(X1,X2)) | member(X0,second(f28(X0,X1,X2))) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_154]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_152,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | member(first(f22(X0,X1,X2)),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_870_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1782,plain,
% 0.45/0.66 ( ~ member(X0,image(X1,X2)) | member(first(f22(X0,X1,X2)),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_152]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1783,plain,
% 0.45/0.66 ( member(first(f22(X0,X1,X2)),X1) | ~ member(X0,image(X1,X2)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1782]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_150,plain,
% 0.45/0.66 ( ~ group(X0,X1) | inverse(X0,X1,f39(X0,X1),f40(X0,X1)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_869_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1778,plain,
% 0.45/0.66 ( ~ group(X0,X1) | inverse(X0,X1,f39(X0,X1),f40(X0,X1)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_150]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1779,plain,
% 0.45/0.66 ( inverse(X0,X1,f39(X0,X1),f40(X0,X1)) | ~ group(X0,X1) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1778]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_148,plain,
% 0.45/0.66 ( apply_to_two_arguments(X0,f42(X1,X0),f41(X1,X0)) != apply_to_two_arguments(X0,f41(X1,X0),f42(X1,X0))
% 0.45/0.66 | commutes(X1,X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_868_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1774,plain,
% 0.45/0.66 ( apply_to_two_arguments(X0,f42(X1,X0),f41(X1,X0)) != apply_to_two_arguments(X0,f41(X1,X0),f42(X1,X0))
% 0.45/0.66 | commutes(X1,X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_148]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1775,plain,
% 0.45/0.66 ( commutes(X0,X1)
% 0.45/0.66 | apply_to_two_arguments(X1,f42(X0,X1),f41(X0,X1)) != apply_to_two_arguments(X1,f41(X0,X1),f42(X0,X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1774]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_124,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1))
% 0.45/0.66 | member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_863_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1726,plain,
% 0.45/0.66 ( ~ member(X0,flip_range_of(X1))
% 0.45/0.66 | member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_124]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1727,plain,
% 0.45/0.66 ( member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1)
% 0.45/0.66 | ~ member(X0,flip_range_of(X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1726]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_122,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1))
% 0.45/0.66 | member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_862_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1722,plain,
% 0.45/0.66 ( ~ member(X0,rotate_right(X1))
% 0.45/0.66 | member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_122]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1723,plain,
% 0.45/0.66 ( member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1)
% 0.45/0.66 | ~ member(X0,rotate_right(X1)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1722]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_105,plain,
% 0.45/0.66 ( ~ inverse(X0,X1,X2,X3) | maps(X3,X0,X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_858_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1688,plain,
% 0.45/0.66 ( ~ inverse(X0,X1,X2,X3) | maps(X3,X0,X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_105]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1689,plain,
% 0.45/0.66 ( maps(X0,X1,X1) | ~ inverse(X1,X2,X3,X0) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1688]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_87,plain,
% 0.45/0.66 ( ~ inverse(X0,X1,X2,X3)
% 0.45/0.66 | ~ member(X4,X0)
% 0.45/0.66 | apply_to_two_arguments(X1,X4,apply(X3,X4)) = X2 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_854_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1652,plain,
% 0.45/0.66 ( ~ inverse(X0,X1,X2,X3)
% 0.45/0.66 | ~ member(X4,X0)
% 0.45/0.66 | apply_to_two_arguments(X1,X4,apply(X3,X4)) = X2 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_87]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_84,plain,
% 0.45/0.66 ( ~ inverse(X0,X1,X2,X3)
% 0.45/0.66 | ~ member(X4,X0)
% 0.45/0.66 | apply_to_two_arguments(X1,apply(X3,X4),X4) = X2 ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_853_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1646,plain,
% 0.45/0.66 ( ~ inverse(X0,X1,X2,X3)
% 0.45/0.66 | ~ member(X4,X0)
% 0.45/0.66 | apply_to_two_arguments(X1,apply(X3,X4),X4) = X2 ),
% 0.45/0.66 inference(copy,[status(esa)],[c_84]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_82,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2))
% 0.45/0.66 | member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_852_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1642,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2))
% 0.45/0.66 | member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_82]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1643,plain,
% 0.45/0.66 ( member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2)
% 0.45/0.66 | ~ member(X0,compose(X1,X2)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1642]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_80,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2))
% 0.45/0.66 | member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_851_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1638,plain,
% 0.45/0.66 ( ~ member(X0,compose(X1,X2))
% 0.45/0.66 | member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_80]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1639,plain,
% 0.45/0.66 ( member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1)
% 0.45/0.66 | ~ member(X0,compose(X1,X2)) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1638]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_59,plain,
% 0.45/0.66 ( ~ member(X0,X1)
% 0.45/0.66 | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0)
% 0.45/0.66 | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 0.45/0.66 | identity(X1,X2,X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_847_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1596,plain,
% 0.45/0.66 ( ~ member(X0,X1)
% 0.45/0.66 | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0)
% 0.45/0.66 | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 0.45/0.66 | identity(X1,X2,X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_59]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1597,plain,
% 0.45/0.66 ( ~ member(X0,X1)
% 0.45/0.66 | identity(X1,X2,X0)
% 0.45/0.66 | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 0.45/0.66 | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1596]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_51,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X1) | inverse(X1,X2,X3,X0) | member(f38(X1,X2,X3,X0),X1) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_845_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1580,plain,
% 0.45/0.66 ( ~ maps(X0,X1,X1) | inverse(X1,X2,X3,X0) | member(f38(X1,X2,X3,X0),X1) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_51]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_49,plain,
% 0.45/0.66 ( apply_to_two_arguments(X0,apply_to_two_arguments(X0,f34(X1,X0),f35(X1,X0)),f36(X1,X0)) != apply_to_two_arguments(X0,f34(X1,X0),apply_to_two_arguments(X0,f35(X1,X0),f36(X1,X0)))
% 0.45/0.66 | associative(X1,X0) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_844_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1576,plain,
% 0.45/0.66 ( apply_to_two_arguments(X0,apply_to_two_arguments(X0,f34(X1,X0),f35(X1,X0)),f36(X1,X0)) != apply_to_two_arguments(X0,f34(X1,X0),apply_to_two_arguments(X0,f35(X1,X0),f36(X1,X0)))
% 0.45/0.66 | associative(X1,X0) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_49]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1577,plain,
% 0.45/0.66 ( associative(X0,X1)
% 0.45/0.66 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,f34(X0,X1),f35(X0,X1)),f36(X0,X1)) != apply_to_two_arguments(X1,f34(X0,X1),apply_to_two_arguments(X1,f35(X0,X1),f36(X0,X1))) ),
% 0.45/0.66 inference(rewriting,[status(thm)],[c_1576]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_27,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X3,X4) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_839_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1532,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X3,X4) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_27]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_25,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X1,X2) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_838_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1528,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X1,X2) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_25]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_23,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4) | maps(X0,X1,X3) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_837_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1524,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4) | maps(X0,X1,X3) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_23]) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_19,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.66 | ~ member(X5,X1)
% 0.45/0.66 | ~ member(X6,X1)
% 0.45/0.66 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6)) ),
% 0.45/0.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_836_0) ).
% 0.45/0.66
% 0.45/0.66 cnf(c_1516,plain,
% 0.45/0.66 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.45/0.66 | ~ member(X5,X1)
% 0.45/0.66 | ~ member(X6,X1)
% 0.45/0.66 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6)) ),
% 0.45/0.66 inference(copy,[status(esa)],[c_19]) ).
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 % ------ Statistics
% 0.45/0.66
% 0.45/0.66 % ------ General
% 0.45/0.66
% 0.45/0.66 % num_of_input_clauses: 636
% 0.45/0.66 % num_of_input_neg_conjectures: 0
% 0.45/0.66 % num_of_splits: 0
% 0.45/0.66 % num_of_split_atoms: 0
% 0.45/0.66 % num_of_sem_filtered_clauses: 0
% 0.45/0.66 % num_of_subtypes: 0
% 0.45/0.66 % monotx_restored_types: 0
% 0.45/0.66 % sat_num_of_epr_types: 0
% 0.45/0.66 % sat_num_of_non_cyclic_types: 0
% 0.45/0.66 % sat_guarded_non_collapsed_types: 0
% 0.45/0.66 % is_epr: 0
% 0.45/0.66 % is_horn: 0
% 0.45/0.66 % has_eq: 1
% 0.45/0.66 % num_pure_diseq_elim: 0
% 0.45/0.66 % simp_replaced_by: 0
% 0.45/0.66 % res_preprocessed: 0
% 0.45/0.66 % prep_upred: 0
% 0.45/0.66 % prep_unflattend: 0
% 0.45/0.66 % pred_elim_cands: 0
% 0.45/0.66 % pred_elim: 0
% 0.45/0.66 % pred_elim_cl: 0
% 0.45/0.66 % pred_elim_cycles: 0
% 0.45/0.66 % forced_gc_time: 0
% 0.45/0.66 % gc_basic_clause_elim: 0
% 0.45/0.66 % parsing_time: 0.031
% 0.45/0.66 % sem_filter_time: 0.
% 0.45/0.66 % pred_elim_time: 0.
% 0.45/0.66 % out_proof_time: 0.
% 0.45/0.66 % monotx_time: 0.
% 0.45/0.66 % subtype_inf_time: 0.
% 0.45/0.66 % unif_index_cands_time: 0.
% 0.45/0.66 % unif_index_add_time: 0.
% 0.45/0.66 % total_time: 0.222
% 0.45/0.66 % num_of_symbols: 135
% 0.45/0.66 % num_of_terms: 1740
% 0.45/0.66
% 0.45/0.66 % ------ Propositional Solver
% 0.45/0.66
% 0.45/0.66 % prop_solver_calls: 1
% 0.45/0.66 % prop_fast_solver_calls: 0
% 0.45/0.66 % prop_num_of_clauses: 494
% 0.45/0.66 % prop_preprocess_simplified: 2044
% 0.45/0.66 % prop_fo_subsumed: 0
% 0.45/0.66 % prop_solver_time: 0.
% 0.45/0.66 % prop_fast_solver_time: 0.
% 0.45/0.66 % prop_unsat_core_time: 0.
% 0.45/0.66
% 0.45/0.66 % ------ QBF
% 0.45/0.66
% 0.45/0.66 % qbf_q_res: 0
% 0.45/0.66 % qbf_num_tautologies: 0
% 0.45/0.66 % qbf_prep_cycles: 0
% 0.45/0.66
% 0.45/0.66 % ------ BMC1
% 0.45/0.66
% 0.45/0.66 % bmc1_current_bound: -1
% 0.45/0.66 % bmc1_last_solved_bound: -1
% 0.45/0.66 % bmc1_unsat_core_size: -1
% 0.45/0.66 % bmc1_unsat_core_parents_size: -1
% 0.45/0.66 % bmc1_merge_next_fun: 0
% 0.45/0.66 % bmc1_unsat_core_clauses_time: 0.
% 0.45/0.66
% 0.45/0.66 % ------ Instantiation
% 0.45/0.66
% 0.45/0.66 % inst_num_of_clauses: 636
% 0.45/0.66 % inst_num_in_passive: 0
% 0.45/0.66 % inst_num_in_active: 0
% 0.45/0.66 % inst_num_in_unprocessed: 636
% 0.45/0.66 % inst_num_of_loops: 0
% 0.45/0.66 % inst_num_of_learning_restarts: 0
% 0.45/0.66 % inst_num_moves_active_passive: 0
% 0.45/0.66 % inst_lit_activity: 0
% 0.45/0.66 % inst_lit_activity_moves: 0
% 0.45/0.66 % inst_num_tautologies: 0
% 0.45/0.66 % inst_num_prop_implied: 0
% 0.45/0.66 % inst_num_existing_simplified: 0
% 0.45/0.66 % inst_num_eq_res_simplified: 0
% 0.45/0.66 % inst_num_child_elim: 0
% 0.45/0.66 % inst_num_of_dismatching_blockings: 0
% 0.45/0.66 % inst_num_of_non_proper_insts: 0
% 0.45/0.66 % inst_num_of_duplicates: 0
% 0.45/0.66 % inst_inst_num_from_inst_to_res: 0
% 0.45/0.66 % inst_dismatching_checking_time: 0.
% 0.45/0.66
% 0.45/0.66 % ------ Resolution
% 0.45/0.66
% 0.45/0.66 % res_num_of_clauses: 740
% 0.45/0.66 % res_num_in_passive: 0
% 0.45/0.66 % res_num_in_active: 250
% 0.45/0.66 % res_num_of_loops: 1
% 0.45/0.66 % res_forward_subset_subsumed: 380
% 0.45/0.66 % res_backward_subset_subsumed: 0
% 0.45/0.66 % res_forward_subsumed: 0
% 0.45/0.66 % res_backward_subsumed: 0
% 0.45/0.66 % res_forward_subsumption_resolution: 0
% 0.45/0.66 % res_backward_subsumption_resolution: 0
% 0.45/0.66 % res_clause_to_clause_subsumption: 0
% 0.45/0.66 % res_orphan_elimination: 0
% 0.45/0.67 % res_tautology_del: 0
% 0.45/0.67 % res_num_eq_res_simplified: 0
% 0.45/0.67 % res_num_sel_changes: 0
% 0.45/0.67 % res_moves_from_active_to_pass: 0
% 0.45/0.67
% 0.45/0.67 % Status Unknown
% 0.53/0.75 % Orienting using strategy ClausalAll
% 0.53/0.75 % Orientation found
% 0.53/0.75 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_68e168.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_134729 | grep -v "SZS"
% 0.53/0.77
% 0.53/0.77 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.53/0.77
% 0.53/0.77 %
% 0.53/0.77 % ------ iProver source info
% 0.53/0.77
% 0.53/0.77 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.53/0.77 % git: non_committed_changes: true
% 0.53/0.77 % git: last_make_outside_of_git: true
% 0.53/0.77
% 0.53/0.77 %
% 0.53/0.77 % ------ Input Options
% 0.53/0.77
% 0.53/0.77 % --out_options all
% 0.53/0.77 % --tptp_safe_out true
% 0.53/0.77 % --problem_path ""
% 0.53/0.77 % --include_path ""
% 0.53/0.77 % --clausifier .//eprover
% 0.53/0.77 % --clausifier_options --tstp-format
% 0.53/0.77 % --stdin false
% 0.53/0.77 % --dbg_backtrace false
% 0.53/0.77 % --dbg_dump_prop_clauses false
% 0.53/0.77 % --dbg_dump_prop_clauses_file -
% 0.53/0.77 % --dbg_out_stat false
% 0.53/0.77
% 0.53/0.77 % ------ General Options
% 0.53/0.77
% 0.53/0.77 % --fof false
% 0.53/0.77 % --time_out_real 150.
% 0.53/0.77 % --time_out_prep_mult 0.2
% 0.53/0.77 % --time_out_virtual -1.
% 0.53/0.77 % --schedule none
% 0.53/0.77 % --ground_splitting input
% 0.53/0.77 % --splitting_nvd 16
% 0.53/0.77 % --non_eq_to_eq false
% 0.53/0.77 % --prep_gs_sim true
% 0.53/0.77 % --prep_unflatten false
% 0.53/0.77 % --prep_res_sim true
% 0.53/0.77 % --prep_upred true
% 0.53/0.77 % --res_sim_input true
% 0.53/0.77 % --clause_weak_htbl true
% 0.53/0.77 % --gc_record_bc_elim false
% 0.53/0.77 % --symbol_type_check false
% 0.53/0.77 % --clausify_out false
% 0.53/0.77 % --large_theory_mode false
% 0.53/0.77 % --prep_sem_filter none
% 0.53/0.77 % --prep_sem_filter_out false
% 0.53/0.77 % --preprocessed_out false
% 0.53/0.77 % --sub_typing false
% 0.53/0.77 % --brand_transform false
% 0.53/0.77 % --pure_diseq_elim true
% 0.53/0.77 % --min_unsat_core false
% 0.53/0.77 % --pred_elim true
% 0.53/0.77 % --add_important_lit false
% 0.53/0.77 % --soft_assumptions false
% 0.53/0.77 % --reset_solvers false
% 0.53/0.77 % --bc_imp_inh []
% 0.53/0.77 % --conj_cone_tolerance 1.5
% 0.53/0.77 % --prolific_symb_bound 500
% 0.53/0.77 % --lt_threshold 2000
% 0.53/0.77
% 0.53/0.77 % ------ SAT Options
% 0.53/0.77
% 0.53/0.77 % --sat_mode false
% 0.53/0.77 % --sat_fm_restart_options ""
% 0.53/0.77 % --sat_gr_def false
% 0.53/0.77 % --sat_epr_types true
% 0.53/0.77 % --sat_non_cyclic_types false
% 0.53/0.77 % --sat_finite_models false
% 0.53/0.77 % --sat_fm_lemmas false
% 0.53/0.77 % --sat_fm_prep false
% 0.53/0.77 % --sat_fm_uc_incr true
% 0.53/0.77 % --sat_out_model small
% 0.53/0.77 % --sat_out_clauses false
% 0.53/0.77
% 0.53/0.77 % ------ QBF Options
% 0.53/0.77
% 0.53/0.77 % --qbf_mode false
% 0.53/0.77 % --qbf_elim_univ true
% 0.53/0.77 % --qbf_sk_in true
% 0.53/0.77 % --qbf_pred_elim true
% 0.53/0.77 % --qbf_split 32
% 0.53/0.77
% 0.53/0.77 % ------ BMC1 Options
% 0.53/0.77
% 0.53/0.77 % --bmc1_incremental false
% 0.53/0.77 % --bmc1_axioms reachable_all
% 0.53/0.77 % --bmc1_min_bound 0
% 0.53/0.77 % --bmc1_max_bound -1
% 0.53/0.77 % --bmc1_max_bound_default -1
% 0.53/0.77 % --bmc1_symbol_reachability true
% 0.53/0.77 % --bmc1_property_lemmas false
% 0.53/0.77 % --bmc1_k_induction false
% 0.53/0.77 % --bmc1_non_equiv_states false
% 0.53/0.77 % --bmc1_deadlock false
% 0.53/0.77 % --bmc1_ucm false
% 0.53/0.77 % --bmc1_add_unsat_core none
% 0.53/0.77 % --bmc1_unsat_core_children false
% 0.53/0.77 % --bmc1_unsat_core_extrapolate_axioms false
% 0.53/0.77 % --bmc1_out_stat full
% 0.53/0.77 % --bmc1_ground_init false
% 0.53/0.77 % --bmc1_pre_inst_next_state false
% 0.53/0.77 % --bmc1_pre_inst_state false
% 0.53/0.77 % --bmc1_pre_inst_reach_state false
% 0.53/0.77 % --bmc1_out_unsat_core false
% 0.53/0.77 % --bmc1_aig_witness_out false
% 0.53/0.77 % --bmc1_verbose false
% 0.53/0.77 % --bmc1_dump_clauses_tptp false
% 0.61/1.09 % --bmc1_dump_unsat_core_tptp false
% 0.61/1.09 % --bmc1_dump_file -
% 0.61/1.09 % --bmc1_ucm_expand_uc_limit 128
% 0.61/1.09 % --bmc1_ucm_n_expand_iterations 6
% 0.61/1.09 % --bmc1_ucm_extend_mode 1
% 0.61/1.09 % --bmc1_ucm_init_mode 2
% 0.61/1.09 % --bmc1_ucm_cone_mode none
% 0.61/1.09 % --bmc1_ucm_reduced_relation_type 0
% 0.61/1.09 % --bmc1_ucm_relax_model 4
% 0.61/1.09 % --bmc1_ucm_full_tr_after_sat true
% 0.61/1.09 % --bmc1_ucm_expand_neg_assumptions false
% 0.61/1.09 % --bmc1_ucm_layered_model none
% 0.61/1.09 % --bmc1_ucm_max_lemma_size 10
% 0.61/1.09
% 0.61/1.09 % ------ AIG Options
% 0.61/1.09
% 0.61/1.09 % --aig_mode false
% 0.61/1.09
% 0.61/1.09 % ------ Instantiation Options
% 0.61/1.09
% 0.61/1.09 % --instantiation_flag true
% 0.61/1.09 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.61/1.09 % --inst_solver_per_active 750
% 0.61/1.09 % --inst_solver_calls_frac 0.5
% 0.61/1.09 % --inst_passive_queue_type priority_queues
% 0.61/1.09 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.61/1.09 % --inst_passive_queues_freq [25;2]
% 0.61/1.09 % --inst_dismatching true
% 0.61/1.09 % --inst_eager_unprocessed_to_passive true
% 0.61/1.09 % --inst_prop_sim_given true
% 0.61/1.09 % --inst_prop_sim_new false
% 0.61/1.09 % --inst_orphan_elimination true
% 0.61/1.09 % --inst_learning_loop_flag true
% 0.61/1.09 % --inst_learning_start 3000
% 0.61/1.09 % --inst_learning_factor 2
% 0.61/1.09 % --inst_start_prop_sim_after_learn 3
% 0.61/1.09 % --inst_sel_renew solver
% 0.61/1.09 % --inst_lit_activity_flag true
% 0.61/1.09 % --inst_out_proof true
% 0.61/1.09
% 0.61/1.09 % ------ Resolution Options
% 0.61/1.09
% 0.61/1.09 % --resolution_flag true
% 0.61/1.09 % --res_lit_sel kbo_max
% 0.61/1.09 % --res_to_prop_solver none
% 0.61/1.09 % --res_prop_simpl_new false
% 0.61/1.09 % --res_prop_simpl_given false
% 0.61/1.09 % --res_passive_queue_type priority_queues
% 0.61/1.09 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.61/1.09 % --res_passive_queues_freq [15;5]
% 0.61/1.09 % --res_forward_subs full
% 0.61/1.09 % --res_backward_subs full
% 0.61/1.09 % --res_forward_subs_resolution true
% 0.61/1.09 % --res_backward_subs_resolution true
% 0.61/1.09 % --res_orphan_elimination false
% 0.61/1.09 % --res_time_limit 1000.
% 0.61/1.09 % --res_out_proof true
% 0.61/1.09 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_68e168.s
% 0.61/1.09 % --modulo true
% 0.61/1.09
% 0.61/1.09 % ------ Combination Options
% 0.61/1.09
% 0.61/1.09 % --comb_res_mult 1000
% 0.61/1.09 % --comb_inst_mult 300
% 0.61/1.09 % ------
% 0.61/1.09
% 0.61/1.09 % ------ Parsing...% successful
% 0.61/1.09
% 0.61/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.61/1.09
% 0.61/1.09 % ------ Proving...
% 0.61/1.09 % ------ Problem Properties
% 0.61/1.09
% 0.61/1.09 %
% 0.61/1.09 % EPR false
% 0.61/1.09 % Horn false
% 0.61/1.09 % Has equality true
% 0.61/1.09
% 0.61/1.09 % % ------ Input Options Time Limit: Unbounded
% 0.61/1.09
% 0.61/1.09
% 0.61/1.09 Compiling...
% 0.61/1.09 Loading plugin: done.
% 0.61/1.09 Compiling...
% 0.61/1.09 Loading plugin: done.
% 0.61/1.09 % % ------ Current options:
% 0.61/1.09
% 0.61/1.09 % ------ Input Options
% 0.61/1.09
% 0.61/1.09 % --out_options all
% 0.61/1.09 % --tptp_safe_out true
% 0.61/1.09 % --problem_path ""
% 0.61/1.09 % --include_path ""
% 0.61/1.09 % --clausifier .//eprover
% 0.61/1.09 % --clausifier_options --tstp-format
% 0.61/1.09 % --stdin false
% 0.61/1.09 % --dbg_backtrace false
% 0.61/1.09 % --dbg_dump_prop_clauses false
% 0.61/1.09 % --dbg_dump_prop_clauses_file -
% 0.61/1.09 % --dbg_out_stat false
% 0.61/1.09
% 0.61/1.09 % ------ General Options
% 0.61/1.09
% 0.61/1.09 % --fof false
% 0.61/1.09 % --time_out_real 150.
% 0.61/1.09 % --time_out_prep_mult 0.2
% 0.61/1.09 % --time_out_virtual -1.
% 0.61/1.09 % --schedule none
% 0.61/1.09 % --ground_splitting input
% 0.61/1.09 % --splitting_nvd 16
% 0.61/1.09 % --non_eq_to_eq false
% 0.61/1.09 % --prep_gs_sim true
% 0.61/1.09 % --prep_unflatten false
% 0.61/1.09 % --prep_res_sim true
% 0.61/1.09 % --prep_upred true
% 0.61/1.09 % --res_sim_input true
% 0.61/1.09 % --clause_weak_htbl true
% 0.61/1.09 % --gc_record_bc_elim false
% 0.61/1.09 % --symbol_type_check false
% 0.61/1.09 % --clausify_out false
% 0.61/1.09 % --large_theory_mode false
% 0.61/1.09 % --prep_sem_filter none
% 0.61/1.09 % --prep_sem_filter_out false
% 0.61/1.09 % --preprocessed_out false
% 0.61/1.09 % --sub_typing false
% 0.61/1.09 % --brand_transform false
% 0.61/1.09 % --pure_diseq_elim true
% 0.61/1.09 % --min_unsat_core false
% 0.61/1.09 % --pred_elim true
% 0.61/1.09 % --add_important_lit false
% 0.61/1.09 % --soft_assumptions false
% 0.61/1.09 % --reset_solvers false
% 0.61/1.09 % --bc_imp_inh []
% 0.61/1.09 % --conj_cone_tolerance 1.5
% 0.61/1.09 % --prolific_symb_bound 500
% 0.61/1.09 % --lt_threshold 2000
% 0.61/1.09
% 0.61/1.09 % ------ SAT Options
% 0.61/1.09
% 0.61/1.09 % --sat_mode false
% 0.61/1.09 % --sat_fm_restart_options ""
% 0.61/1.09 % --sat_gr_def false
% 0.61/1.09 % --sat_epr_types true
% 0.61/1.09 % --sat_non_cyclic_types false
% 0.61/1.09 % --sat_finite_models false
% 0.61/1.09 % --sat_fm_lemmas false
% 0.61/1.09 % --sat_fm_prep false
% 0.61/1.09 % --sat_fm_uc_incr true
% 0.61/1.09 % --sat_out_model small
% 0.61/1.09 % --sat_out_clauses false
% 0.61/1.09
% 0.61/1.09 % ------ QBF Options
% 0.61/1.09
% 0.61/1.09 % --qbf_mode false
% 0.61/1.09 % --qbf_elim_univ true
% 0.61/1.09 % --qbf_sk_in true
% 0.61/1.09 % --qbf_pred_elim true
% 0.61/1.09 % --qbf_split 32
% 0.61/1.09
% 0.61/1.09 % ------ BMC1 Options
% 0.61/1.09
% 0.61/1.09 % --bmc1_incremental false
% 0.61/1.09 % --bmc1_axioms reachable_all
% 0.61/1.09 % --bmc1_min_bound 0
% 0.61/1.09 % --bmc1_max_bound -1
% 0.61/1.09 % --bmc1_max_bound_default -1
% 0.61/1.09 % --bmc1_symbol_reachability true
% 0.61/1.09 % --bmc1_property_lemmas false
% 0.61/1.09 % --bmc1_k_induction false
% 0.61/1.09 % --bmc1_non_equiv_states false
% 0.61/1.09 % --bmc1_deadlock false
% 0.61/1.09 % --bmc1_ucm false
% 0.61/1.09 % --bmc1_add_unsat_core none
% 0.61/1.09 % --bmc1_unsat_core_children false
% 0.61/1.09 % --bmc1_unsat_core_extrapolate_axioms false
% 0.61/1.09 % --bmc1_out_stat full
% 0.61/1.09 % --bmc1_ground_init false
% 0.61/1.09 % --bmc1_pre_inst_next_state false
% 0.61/1.09 % --bmc1_pre_inst_state false
% 0.61/1.09 % --bmc1_pre_inst_reach_state false
% 0.61/1.09 % --bmc1_out_unsat_core false
% 0.61/1.09 % --bmc1_aig_witness_out false
% 0.61/1.09 % --bmc1_verbose false
% 0.61/1.09 % --bmc1_dump_clauses_tptp false
% 0.61/1.09 % --bmc1_dump_unsat_core_tptp false
% 0.61/1.09 % --bmc1_dump_file -
% 0.61/1.09 % --bmc1_ucm_expand_uc_limit 128
% 0.61/1.09 % --bmc1_ucm_n_expand_iterations 6
% 0.61/1.09 % --bmc1_ucm_extend_mode 1
% 0.61/1.09 % --bmc1_ucm_init_mode 2
% 0.61/1.09 % --bmc1_ucm_cone_mode none
% 0.61/1.09 % --bmc1_ucm_reduced_relation_type 0
% 0.61/1.09 % --bmc1_ucm_relax_model 4
% 0.61/1.09 % --bmc1_ucm_full_tr_after_sat true
% 0.61/1.09 % --bmc1_ucm_expand_neg_assumptions false
% 0.61/1.09 % --bmc1_ucm_layered_model none
% 0.61/1.09 % --bmc1_ucm_max_lemma_size 10
% 0.61/1.09
% 0.61/1.09 % ------ AIG Options
% 0.61/1.09
% 0.61/1.09 % --aig_mode false
% 0.61/1.09
% 0.61/1.09 % ------ Instantiation Options
% 0.61/1.09
% 0.61/1.09 % --instantiation_flag true
% 0.61/1.09 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.61/1.09 % --inst_solver_per_active 750
% 0.61/1.09 % --inst_solver_calls_frac 0.5
% 0.61/1.09 % --inst_passive_queue_type priority_queues
% 0.61/1.09 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.61/1.09 % --inst_passive_queues_freq [25;2]
% 0.61/1.09 % --inst_dismatching true
% 0.61/1.09 % --inst_eager_unprocessed_to_passive true
% 0.61/1.09 % --inst_prop_sim_given true
% 0.61/1.09 % --inst_prop_sim_new false
% 0.61/1.09 % --inst_orphan_elimination true
% 0.61/1.09 % --inst_learning_loop_flag true
% 0.61/1.09 % --inst_learning_start 3000
% 0.61/1.09 % --inst_learning_factor 2
% 0.61/1.09 % --inst_start_prop_sim_after_learn 3
% 0.61/1.09 % --inst_sel_renew solver
% 0.61/1.09 % --inst_lit_activity_flag true
% 0.61/1.09 % --inst_out_proof true
% 0.61/1.09
% 0.61/1.09 % ------ Resolution Options
% 0.61/1.09
% 0.61/1.09 % --resolution_flag true
% 0.61/1.09 % --res_lit_sel kbo_max
% 0.61/1.09 % --res_to_prop_solver none
% 0.61/1.09 % --res_prop_simpl_new false
% 0.61/1.09 % --res_prop_simpl_given false
% 0.61/1.09 % --res_passive_queue_type priority_queues
% 0.61/1.09 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.61/1.09 % --res_passive_queues_freq [15;5]
% 0.61/1.09 % --res_forward_subs full
% 0.61/1.09 % --res_backward_subs full
% 0.61/1.09 % --res_forward_subs_resolution true
% 0.61/1.09 % --res_backward_subs_resolution true
% 0.61/1.09 % --res_orphan_elimination false
% 0.61/1.09 % --res_time_limit 1000.
% 0.61/1.09 % --res_out_proof true
% 0.61/1.09 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_68e168.s
% 0.61/1.09 % --modulo true
% 0.61/1.09
% 0.61/1.09 % ------ Combination Options
% 0.61/1.09
% 0.61/1.09 % --comb_res_mult 1000
% 0.61/1.09 % --comb_inst_mult 300
% 0.61/1.09 % ------
% 0.61/1.09
% 0.61/1.09
% 0.61/1.09
% 0.61/1.09 % ------ Proving...
% 0.61/1.09 % warning: shown sat in sat incomplete mode
% 0.61/1.09 %
% 0.61/1.09
% 0.61/1.09
% 0.61/1.09
% 0.61/1.09
% 0.61/1.09 cnf(c_631,plain,
% 0.61/1.09 ( homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4)))
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_876_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2735,plain,
% 0.61/1.09 ( homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4)))
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_631]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2736,plain,
% 0.61/1.09 ( ~ closed(X0,X1)
% 0.61/1.09 | ~ closed(X2,X3)
% 0.61/1.09 | ~ maps(X4,X2,X0)
% 0.61/1.09 | homomorphism(X4,X2,X3,X0,X1)
% 0.61/1.09 | apply(X4,apply_to_two_arguments(X3,f32(X4,X2,X3,X0,X1),f33(X4,X2,X3,X0,X1))) != apply_to_two_arguments(X1,apply(X4,f32(X4,X2,X3,X0,X1)),apply(X4,f33(X4,X2,X3,X0,X1))) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2735]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_627,plain,
% 0.61/1.09 ( inverse(X0,X1,X2,X3)
% 0.61/1.09 | apply_to_two_arguments(X1,f38(X0,X1,X2,X3),apply(X3,f38(X0,X1,X2,X3))) != X2
% 0.61/1.09 | apply_to_two_arguments(X1,apply(X3,f38(X0,X1,X2,X3)),f38(X0,X1,X2,X3)) != X2
% 0.61/1.09 | ~ maps(X3,X0,X0) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_877_3) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2727,plain,
% 0.61/1.09 ( inverse(X0,X1,X2,X3)
% 0.61/1.09 | apply_to_two_arguments(X1,f38(X0,X1,X2,X3),apply(X3,f38(X0,X1,X2,X3))) != X2
% 0.61/1.09 | apply_to_two_arguments(X1,apply(X3,f38(X0,X1,X2,X3)),f38(X0,X1,X2,X3)) != X2
% 0.61/1.09 | ~ maps(X3,X0,X0) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_627]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2728,plain,
% 0.61/1.09 ( ~ maps(X0,X1,X1)
% 0.61/1.09 | inverse(X1,X2,X3,X0)
% 0.61/1.09 | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 0.61/1.09 | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3 ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2727]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_623,plain,
% 0.61/1.09 ( ~ closed(X0,X1)
% 0.61/1.09 | member(f33(X2,X0,X1,X3,X4),X0)
% 0.61/1.09 | homomorphism(X2,X0,X1,X3,X4)
% 0.61/1.09 | ~ maps(X2,X0,X3)
% 0.61/1.09 | ~ closed(X3,X4) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_878_3) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2719,plain,
% 0.61/1.09 ( ~ closed(X0,X1)
% 0.61/1.09 | member(f33(X2,X0,X1,X3,X4),X0)
% 0.61/1.09 | homomorphism(X2,X0,X1,X3,X4)
% 0.61/1.09 | ~ maps(X2,X0,X3)
% 0.61/1.09 | ~ closed(X3,X4) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_623]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2720,plain,
% 0.61/1.09 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | ~ closed(X1,X2)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2719]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_622,plain,
% 0.61/1.09 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_878_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2717,plain,
% 0.61/1.09 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_622]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2718,plain,
% 0.61/1.09 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2717]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_618,plain,
% 0.61/1.09 ( ~ closed(X0,X1)
% 0.61/1.09 | member(f32(X2,X0,X1,X3,X4),X0)
% 0.61/1.09 | homomorphism(X2,X0,X1,X3,X4)
% 0.61/1.09 | ~ maps(X2,X0,X3)
% 0.61/1.09 | ~ closed(X3,X4) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_879_3) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2709,plain,
% 0.61/1.09 ( ~ closed(X0,X1)
% 0.61/1.09 | member(f32(X2,X0,X1,X3,X4),X0)
% 0.61/1.09 | homomorphism(X2,X0,X1,X3,X4)
% 0.61/1.09 | ~ maps(X2,X0,X3)
% 0.61/1.09 | ~ closed(X3,X4) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_618]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2710,plain,
% 0.61/1.09 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | ~ closed(X1,X2)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2709]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_617,plain,
% 0.61/1.09 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_879_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2707,plain,
% 0.61/1.09 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_617]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2708,plain,
% 0.61/1.09 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.61/1.09 | ~ closed(X3,X4)
% 0.61/1.09 | ~ closed(X1,X2)
% 0.61/1.09 | ~ maps(X0,X1,X3)
% 0.61/1.09 | homomorphism(X0,X1,X2,X3,X4) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2707]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_615,plain,
% 0.61/1.09 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | ~ member(X5,X1)
% 0.61/1.09 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 0.61/1.09 | ~ member(X6,X1) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_880_1) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2703,plain,
% 0.61/1.09 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.61/1.09 | ~ member(X5,X1)
% 0.61/1.09 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 0.61/1.09 | ~ member(X6,X1) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_615]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2704,plain,
% 0.61/1.09 ( ~ member(X0,X1)
% 0.61/1.09 | ~ member(X2,X1)
% 0.61/1.09 | ~ homomorphism(X3,X1,X4,X5,X6)
% 0.61/1.09 | apply(X3,apply_to_two_arguments(X4,X0,X2)) = apply_to_two_arguments(X6,apply(X3,X0),apply(X3,X2)) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2703]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_613,plain,
% 0.61/1.09 ( apply(X0,apply_to_two_arguments(X1,X2,X3)) = apply_to_two_arguments(X4,apply(X0,X2),apply(X0,X3))
% 0.61/1.09 | ~ member(X3,X5)
% 0.61/1.09 | ~ member(X2,X5)
% 0.61/1.09 | ~ homomorphism(X0,X5,X1,X6,X4) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_880_3) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2699,plain,
% 0.61/1.09 ( apply(X0,apply_to_two_arguments(X1,X2,X3)) = apply_to_two_arguments(X4,apply(X0,X2),apply(X0,X3))
% 0.61/1.09 | ~ member(X3,X5)
% 0.61/1.09 | ~ member(X2,X5)
% 0.61/1.09 | ~ homomorphism(X0,X5,X1,X6,X4) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_613]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2700,plain,
% 0.61/1.09 ( ~ member(X0,X1)
% 0.61/1.09 | ~ member(X2,X1)
% 0.61/1.09 | ~ homomorphism(X3,X1,X4,X5,X6)
% 0.61/1.09 | apply(X3,apply_to_two_arguments(X4,X2,X0)) = apply_to_two_arguments(X6,apply(X3,X2),apply(X3,X0)) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2699]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_602,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_884_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2677,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_602]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2678,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f51(X1,X0)),f52(X1,X0)),apply_to_two_arguments(plus,f53(X1,X0),f52(X1,X0))),X0)
% 0.61/1.09 | ~ member(X1,times)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2677]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_597,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f50(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_885_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2667,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f50(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_597]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2668,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f51(X1,X0)),f52(X1,X0)),apply_to_two_arguments(plus,f53(X1,X0),f52(X1,X0))),X0)
% 0.61/1.09 | member(f50(X1,X0),natural_numbers)
% 0.61/1.09 | ~ member(X1,times)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2667]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_592,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_886_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2657,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_592]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2658,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f46(X1,X0)),f47(X1,X0)),successor(f48(X1,X0))),X0)
% 0.61/1.09 | ~ member(X1,plus)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2657]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_587,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f45(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_887_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2647,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f45(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_587]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2648,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(successor(f46(X1,X0)),f47(X1,X0)),successor(f48(X1,X0))),X0)
% 0.61/1.09 | member(f45(X1,X0),natural_numbers)
% 0.61/1.09 | ~ member(X1,plus)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2647]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_582,plain,
% 0.61/1.09 ( member(f38(X0,X1,X2,X3),X0) | inverse(X0,X1,X2,X3) | ~ maps(X3,X0,X0) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_889_2) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2637,plain,
% 0.61/1.09 ( member(f38(X0,X1,X2,X3),X0) | inverse(X0,X1,X2,X3) | ~ maps(X3,X0,X0) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_582]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2638,plain,
% 0.61/1.09 ( member(f38(X0,X1,X2,X3),X0) | ~ maps(X3,X0,X0) | inverse(X0,X1,X2,X3) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2637]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_577,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_890_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2627,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_577]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2628,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f46(X1,X0),f47(X1,X0)),f48(X1,X0)),X0)
% 0.61/1.09 | ~ member(X1,plus)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2627]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_568,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_892_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2609,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_568]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2610,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f51(X1,X0),f52(X1,X0)),f53(X1,X0)),X0)
% 0.61/1.09 | ~ member(X1,times)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2609]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_564,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | ~ member(X2,natural_numbers)
% 0.61/1.09 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.61/1.09 | member(X0,times)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.61/1.09 | ~ member(X3,natural_numbers) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_893_3) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2601,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | ~ member(X2,natural_numbers)
% 0.61/1.09 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.61/1.09 | member(X0,times)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.61/1.09 | ~ member(X3,natural_numbers) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_564]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2602,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | ~ member(X2,natural_numbers)
% 0.61/1.09 | ~ member(X3,natural_numbers)
% 0.61/1.09 | member(X0,times) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2601]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_563,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.61/1.09 | member(X0,times)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.61/1.09 | ~ member(X3,natural_numbers)
% 0.61/1.09 | ~ member(X2,natural_numbers) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_893_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2599,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.61/1.09 | member(X0,times)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.61/1.09 | ~ member(X3,natural_numbers)
% 0.61/1.09 | ~ member(X2,natural_numbers) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_563]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2600,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | ~ member(X3,natural_numbers)
% 0.61/1.09 | ~ member(X2,natural_numbers)
% 0.61/1.09 | member(X0,times) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2599]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_561,plain,
% 0.61/1.09 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.61/1.09 | member(X3,times)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.61/1.09 | ~ member(X2,natural_numbers)
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | ~ member(X0,natural_numbers)
% 0.61/1.09 | ~ little_set(X3) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_893_6) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2595,plain,
% 0.61/1.09 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.61/1.09 | member(X3,times)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.61/1.09 | ~ member(X2,natural_numbers)
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | ~ member(X0,natural_numbers)
% 0.61/1.09 | ~ little_set(X3) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_561]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2596,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.61/1.09 | ~ member(X3,natural_numbers)
% 0.61/1.09 | ~ member(X2,natural_numbers)
% 0.61/1.09 | ~ member(X1,natural_numbers)
% 0.61/1.09 | member(X0,times) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2595]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_556,plain,
% 0.61/1.09 ( group(X0,X1)
% 0.61/1.09 | ~ inverse(X0,X1,X2,X3)
% 0.61/1.09 | ~ identity(X0,X1,X2)
% 0.61/1.09 | ~ associative(X0,X1)
% 0.61/1.09 | ~ closed(X0,X1) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_894_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2585,plain,
% 0.61/1.09 ( group(X0,X1)
% 0.61/1.09 | ~ inverse(X0,X1,X2,X3)
% 0.61/1.09 | ~ identity(X0,X1,X2)
% 0.61/1.09 | ~ associative(X0,X1)
% 0.61/1.09 | ~ closed(X0,X1) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_556]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2586,plain,
% 0.61/1.09 ( ~ closed(X0,X1)
% 0.61/1.09 | group(X0,X1)
% 0.61/1.09 | ~ associative(X0,X1)
% 0.61/1.09 | ~ identity(X0,X1,X2)
% 0.61/1.09 | ~ inverse(X0,X1,X2,X3) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2585]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_549,plain,
% 0.61/1.09 ( apply_to_two_arguments(X0,X1,apply(X2,X1)) = X3
% 0.61/1.09 | ~ member(X1,X4)
% 0.61/1.09 | ~ inverse(X4,X0,X3,X2) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_897_2) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2571,plain,
% 0.61/1.09 ( apply_to_two_arguments(X0,X1,apply(X2,X1)) = X3
% 0.61/1.09 | ~ member(X1,X4)
% 0.61/1.09 | ~ inverse(X4,X0,X3,X2) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_549]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2572,plain,
% 0.61/1.09 ( ~ member(X0,X1)
% 0.61/1.09 | ~ inverse(X1,X2,X3,X4)
% 0.61/1.09 | apply_to_two_arguments(X2,X0,apply(X4,X0)) = X3 ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2571]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_546,plain,
% 0.61/1.09 ( apply_to_two_arguments(X0,apply(X1,X2),X2) = X3
% 0.61/1.09 | ~ member(X2,X4)
% 0.61/1.09 | ~ inverse(X4,X0,X3,X1) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_898_2) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2565,plain,
% 0.61/1.09 ( apply_to_two_arguments(X0,apply(X1,X2),X2) = X3
% 0.61/1.09 | ~ member(X2,X4)
% 0.61/1.09 | ~ inverse(X4,X0,X3,X1) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_546]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2566,plain,
% 0.61/1.09 ( ~ member(X0,X1)
% 0.61/1.09 | ~ inverse(X1,X2,X3,X4)
% 0.61/1.09 | apply_to_two_arguments(X2,apply(X4,X0),X0) = X3 ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2565]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_541,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f48(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_899_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2555,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f48(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_541]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2556,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 0.61/1.09 | member(f48(X1,X0),natural_numbers)
% 0.61/1.09 | ~ member(X1,plus)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2555]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_536,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f47(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_900_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2545,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f47(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_536]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2546,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 0.61/1.09 | member(f47(X1,X0),natural_numbers)
% 0.61/1.09 | ~ member(X1,plus)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2545]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_531,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f46(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_901_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2535,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(f46(X0,X1),natural_numbers)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_531]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2536,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 0.61/1.09 | member(f46(X1,X0),natural_numbers)
% 0.61/1.09 | ~ member(X1,plus)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2535]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_524,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.61/1.09 | member(f50(X0,X1),natural_numbers)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_903_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2521,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.61/1.09 | member(f50(X0,X1),natural_numbers)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,times) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_524]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2522,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f51(X1,X0),f52(X1,X0)),f53(X1,X0)),X0)
% 0.61/1.09 | member(f50(X1,X0),natural_numbers)
% 0.61/1.09 | ~ member(X1,times)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2521]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_519,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.61/1.09 | member(f45(X0,X1),natural_numbers)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_904_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2511,plain,
% 0.61/1.09 ( member(X0,X1)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.61/1.09 | member(f45(X0,X1),natural_numbers)
% 0.61/1.09 | ~ little_set(X1)
% 0.61/1.09 | ~ member(X0,plus) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_519]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2512,plain,
% 0.61/1.09 ( ~ little_set(X0)
% 0.61/1.09 | member(ordered_pair(ordered_pair(f46(X1,X0),f47(X1,X0)),f48(X1,X0)),X0)
% 0.61/1.09 | member(f45(X1,X0),natural_numbers)
% 0.61/1.09 | ~ member(X1,plus)
% 0.61/1.09 | member(X1,X0) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2511]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_517,plain,
% 0.61/1.09 ( ~ associative(X0,X1)
% 0.61/1.09 | ~ member(X2,X0)
% 0.61/1.09 | ~ member(X3,X0)
% 0.61/1.09 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.61/1.09 | ~ member(X4,X0) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_905_1) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2507,plain,
% 0.61/1.09 ( ~ associative(X0,X1)
% 0.61/1.09 | ~ member(X2,X0)
% 0.61/1.09 | ~ member(X3,X0)
% 0.61/1.09 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.61/1.09 | ~ member(X4,X0) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_517]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2508,plain,
% 0.61/1.09 ( ~ member(X0,X1)
% 0.61/1.09 | ~ member(X2,X1)
% 0.61/1.09 | ~ member(X3,X1)
% 0.61/1.09 | ~ associative(X1,X4)
% 0.61/1.09 | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X0,X2),X3) = apply_to_two_arguments(X4,X0,apply_to_two_arguments(X4,X2,X3)) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2507]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_516,plain,
% 0.61/1.09 ( ~ associative(X0,X1)
% 0.61/1.09 | ~ member(X2,X0)
% 0.61/1.09 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.61/1.09 | ~ member(X4,X0)
% 0.61/1.09 | ~ member(X3,X0) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_905_2) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2505,plain,
% 0.61/1.09 ( ~ associative(X0,X1)
% 0.61/1.09 | ~ member(X2,X0)
% 0.61/1.09 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 0.61/1.09 | ~ member(X4,X0)
% 0.61/1.09 | ~ member(X3,X0) ),
% 0.61/1.09 inference(copy,[status(esa)],[c_516]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2506,plain,
% 0.61/1.09 ( ~ member(X0,X1)
% 0.61/1.09 | ~ member(X2,X1)
% 0.61/1.09 | ~ member(X3,X1)
% 0.61/1.09 | ~ associative(X1,X4)
% 0.61/1.09 | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X0,X3),X2) = apply_to_two_arguments(X4,X0,apply_to_two_arguments(X4,X3,X2)) ),
% 0.61/1.09 inference(rewriting,[status(thm)],[c_2505]) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_514,plain,
% 0.61/1.09 ( apply_to_two_arguments(X0,apply_to_two_arguments(X0,X1,X2),X3) = apply_to_two_arguments(X0,X1,apply_to_two_arguments(X0,X2,X3))
% 0.61/1.09 | ~ member(X3,X4)
% 0.61/1.09 | ~ member(X2,X4)
% 0.61/1.09 | ~ member(X1,X4)
% 0.61/1.09 | ~ associative(X4,X0) ),
% 0.61/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_905_4) ).
% 0.61/1.09
% 0.61/1.09 cnf(c_2501,plain,
% 0.61/1.09 ( apply_to_two_arguments(X0,apply_to_two_arguments(X0,X1,X2),X3) = apply_to_two_arguments(X0,X1,apply_to_two_arguments(X0,X2,X3))
% 0.61/1.09 | ~ member(X3,X4)
% 0.61/1.10 | ~ member(X2,X4)
% 0.61/1.10 | ~ member(X1,X4)
% 0.61/1.10 | ~ associative(X4,X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_514]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2502,plain,
% 0.61/1.10 ( ~ member(X0,X1)
% 0.61/1.10 | ~ member(X2,X1)
% 0.61/1.10 | ~ member(X3,X1)
% 0.61/1.10 | ~ associative(X1,X4)
% 0.61/1.10 | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X3,X2),X0) = apply_to_two_arguments(X4,X3,apply_to_two_arguments(X4,X2,X0)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2501]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_505,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f53(X0,X1),natural_numbers)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_908_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2483,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f53(X0,X1),natural_numbers)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_505]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2484,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 0.61/1.10 | member(f53(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,times)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2483]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_500,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f52(X0,X1),natural_numbers)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_909_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2473,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f52(X0,X1),natural_numbers)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_500]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2474,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 0.61/1.10 | member(f52(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,times)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2473]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_495,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f51(X0,X1),natural_numbers)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_910_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2463,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f51(X0,X1),natural_numbers)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_495]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2464,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 0.61/1.10 | member(f51(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,times)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2463]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_491,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.61/1.10 | member(X0,plus)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.61/1.10 | ~ member(X3,natural_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_911_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2455,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.61/1.10 | member(X0,plus)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.61/1.10 | ~ member(X3,natural_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_491]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2456,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | ~ member(X3,natural_numbers)
% 0.61/1.10 | member(X0,plus) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2455]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_490,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.61/1.10 | member(X0,plus)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.61/1.10 | ~ member(X3,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_911_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2453,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.61/1.10 | member(X0,plus)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.61/1.10 | ~ member(X3,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_490]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2454,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X3,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | member(X0,plus) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2453]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_488,plain,
% 0.61/1.10 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.61/1.10 | member(X3,plus)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ little_set(X3) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_911_6) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2449,plain,
% 0.61/1.10 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.61/1.10 | member(X3,plus)
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ little_set(X3) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_488]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2450,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.61/1.10 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.61/1.10 | ~ member(X3,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(X0,plus) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2449]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_474,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | member(X0,flip_range_of(X3))
% 0.61/1.10 | ~ member(ordered_pair(X1,ordered_pair(X4,X2)),X3)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_917_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2421,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | member(X0,flip_range_of(X3))
% 0.61/1.10 | ~ member(ordered_pair(X1,ordered_pair(X4,X2)),X3)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_474]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2422,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,ordered_pair(X3,X2)),X4)
% 0.61/1.10 | member(X0,flip_range_of(X4))
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X2,X3)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2421]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_473,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | member(X0,flip_range_of(X2))
% 0.61/1.10 | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_917_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2419,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | member(X0,flip_range_of(X2))
% 0.61/1.10 | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_473]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2420,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,ordered_pair(X2,X3)),X4)
% 0.61/1.10 | member(X0,flip_range_of(X4))
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X3,X2)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2419]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_472,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(X0,flip_range_of(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X2) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_917_5) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2417,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(X0,flip_range_of(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X2) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_472]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2418,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X3,ordered_pair(X1,X2)),X4)
% 0.61/1.10 | member(X0,flip_range_of(X4))
% 0.61/1.10 | X0 != ordered_pair(X3,ordered_pair(X2,X1)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2417]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_471,plain,
% 0.61/1.10 ( member(X0,flip_range_of(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_917_6) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2415,plain,
% 0.61/1.10 ( member(X0,flip_range_of(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_471]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2416,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X0,X1)),X4)
% 0.61/1.10 | member(X3,flip_range_of(X4))
% 0.61/1.10 | X3 != ordered_pair(X2,ordered_pair(X1,X0)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2415]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_467,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | member(X0,rotate_right(X3))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X4,X1)),X3)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_918_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2407,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | member(X0,rotate_right(X3))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X4,X1)),X3)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_467]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2408,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X1)),X4)
% 0.61/1.10 | member(X0,rotate_right(X4))
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X2,X3)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2407]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_466,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | member(X0,rotate_right(X2))
% 0.61/1.10 | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X3) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_918_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2405,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | member(X0,rotate_right(X2))
% 0.61/1.10 | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X3) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_466]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2406,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X3,ordered_pair(X2,X1)),X4)
% 0.61/1.10 | member(X0,rotate_right(X4))
% 0.61/1.10 | X0 != ordered_pair(X1,ordered_pair(X3,X2)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2405]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_465,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(X0,rotate_right(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_918_5) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2403,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(X0,rotate_right(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X4) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_465]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2404,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X1,X3)),X4)
% 0.61/1.10 | member(X0,rotate_right(X4))
% 0.61/1.10 | X0 != ordered_pair(X3,ordered_pair(X2,X1)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2403]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_464,plain,
% 0.61/1.10 ( member(X0,rotate_right(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_918_6) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2401,plain,
% 0.61/1.10 ( member(X0,rotate_right(X1))
% 0.61/1.10 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.61/1.10 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_464]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2402,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,ordered_pair(X0,X2)),X4)
% 0.61/1.10 | member(X3,rotate_right(X4))
% 0.61/1.10 | X3 != ordered_pair(X2,ordered_pair(X1,X0)) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2401]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_462,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | X0 != ordered_pair(X1,X2)
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X4)
% 0.61/1.10 | member(X0,compose(X4,X5))
% 0.61/1.10 | ~ member(ordered_pair(X3,X2),X5) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_919_1) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2397,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | X0 != ordered_pair(X1,X2)
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X4)
% 0.61/1.10 | member(X0,compose(X4,X5))
% 0.61/1.10 | ~ member(ordered_pair(X3,X2),X5) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_462]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2398,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X4)
% 0.61/1.10 | ~ member(ordered_pair(X3,X2),X5)
% 0.61/1.10 | member(X0,compose(X4,X5))
% 0.61/1.10 | X0 != ordered_pair(X1,X2) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2397]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_459,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | member(X0,compose(X3,X4))
% 0.61/1.10 | ~ member(ordered_pair(X5,X2),X4)
% 0.61/1.10 | ~ member(ordered_pair(X1,X5),X3)
% 0.61/1.10 | X0 != ordered_pair(X1,X2)
% 0.61/1.10 | ~ little_set(X5) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_919_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2391,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | member(X0,compose(X3,X4))
% 0.61/1.10 | ~ member(ordered_pair(X5,X2),X4)
% 0.61/1.10 | ~ member(ordered_pair(X1,X5),X3)
% 0.61/1.10 | X0 != ordered_pair(X1,X2)
% 0.61/1.10 | ~ little_set(X5) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_459]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2392,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X3,X2),X4)
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X5)
% 0.61/1.10 | member(X0,compose(X5,X4))
% 0.61/1.10 | X0 != ordered_pair(X1,X2) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2391]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_458,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | member(X0,compose(X2,X3))
% 0.61/1.10 | ~ member(ordered_pair(X4,X5),X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,X4),X2)
% 0.61/1.10 | X0 != ordered_pair(X1,X5)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X5) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_919_5) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2389,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | member(X0,compose(X2,X3))
% 0.61/1.10 | ~ member(ordered_pair(X4,X5),X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,X4),X2)
% 0.61/1.10 | X0 != ordered_pair(X1,X5)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X5) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_458]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2390,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X2,X3),X4)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X5)
% 0.61/1.10 | member(X0,compose(X5,X4))
% 0.61/1.10 | X0 != ordered_pair(X1,X3) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2389]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_457,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(X0,compose(X1,X2))
% 0.61/1.10 | ~ member(ordered_pair(X3,X4),X2)
% 0.61/1.10 | ~ member(ordered_pair(X5,X3),X1)
% 0.61/1.10 | X0 != ordered_pair(X5,X4)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X5) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_919_6) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2387,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(X0,compose(X1,X2))
% 0.61/1.10 | ~ member(ordered_pair(X3,X4),X2)
% 0.61/1.10 | ~ member(ordered_pair(X5,X3),X1)
% 0.61/1.10 | X0 != ordered_pair(X5,X4)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X5) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_457]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2388,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X4)
% 0.61/1.10 | ~ member(ordered_pair(X3,X1),X5)
% 0.61/1.10 | member(X0,compose(X5,X4))
% 0.61/1.10 | X0 != ordered_pair(X3,X2) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2387]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_456,plain,
% 0.61/1.10 ( member(X0,compose(X1,X2))
% 0.61/1.10 | ~ member(ordered_pair(X3,X4),X2)
% 0.61/1.10 | ~ member(ordered_pair(X5,X3),X1)
% 0.61/1.10 | X0 != ordered_pair(X5,X4)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X5)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_919_7) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2385,plain,
% 0.61/1.10 ( member(X0,compose(X1,X2))
% 0.61/1.10 | ~ member(ordered_pair(X3,X4),X2)
% 0.61/1.10 | ~ member(ordered_pair(X5,X3),X1)
% 0.61/1.10 | X0 != ordered_pair(X5,X4)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X4)
% 0.61/1.10 | ~ little_set(X5)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_456]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2386,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X0,X1),X4)
% 0.61/1.10 | ~ member(ordered_pair(X2,X0),X5)
% 0.61/1.10 | member(X3,compose(X5,X4))
% 0.61/1.10 | X3 != ordered_pair(X2,X1) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2385]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_449,plain,
% 0.61/1.10 ( member(f37(X0,X1,X2),X0) | identity(X0,X1,X2) | ~ member(X2,X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_922_2) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2371,plain,
% 0.61/1.10 ( member(f37(X0,X1,X2),X0) | identity(X0,X1,X2) | ~ member(X2,X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_449]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2372,plain,
% 0.61/1.10 ( member(f37(X0,X1,X2),X0) | ~ member(X2,X0) | identity(X0,X1,X2) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2371]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_446,plain,
% 0.61/1.10 ( ~ member(X0,prime_numbers)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(X1,non_ordered_pair(successor(empty_set),X0))
% 0.61/1.10 | apply_to_two_arguments(times,X1,X2) != X0
% 0.61/1.10 | ~ member(X2,natural_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_923_2) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2365,plain,
% 0.61/1.10 ( ~ member(X0,prime_numbers)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(X1,non_ordered_pair(successor(empty_set),X0))
% 0.61/1.10 | apply_to_two_arguments(times,X1,X2) != X0
% 0.61/1.10 | ~ member(X2,natural_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_446]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2366,plain,
% 0.61/1.10 ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 0.61/1.10 | ~ member(X1,prime_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | apply_to_two_arguments(times,X0,X2) != X1 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2365]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_444,plain,
% 0.61/1.10 ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 0.61/1.10 | apply_to_two_arguments(times,X0,X2) != X1
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ member(X1,prime_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_923_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2361,plain,
% 0.61/1.10 ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 0.61/1.10 | apply_to_two_arguments(times,X0,X2) != X1
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ member(X1,prime_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_444]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2362,plain,
% 0.61/1.10 ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 0.61/1.10 | ~ member(X1,prime_numbers)
% 0.61/1.10 | ~ member(X2,natural_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | apply_to_two_arguments(times,X0,X2) != X1 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2361]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_438,plain,
% 0.61/1.10 ( ~ commutes(X0,X1)
% 0.61/1.10 | ~ member(X2,X0)
% 0.61/1.10 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 0.61/1.10 | ~ member(X3,X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_926_1) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2349,plain,
% 0.61/1.10 ( ~ commutes(X0,X1)
% 0.61/1.10 | ~ member(X2,X0)
% 0.61/1.10 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 0.61/1.10 | ~ member(X3,X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_438]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2350,plain,
% 0.61/1.10 ( ~ member(X0,X1)
% 0.61/1.10 | ~ member(X2,X1)
% 0.61/1.10 | ~ commutes(X1,X3)
% 0.61/1.10 | apply_to_two_arguments(X3,X0,X2) = apply_to_two_arguments(X3,X2,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2349]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_436,plain,
% 0.61/1.10 ( apply_to_two_arguments(X0,X1,X2) = apply_to_two_arguments(X0,X2,X1)
% 0.61/1.10 | ~ member(X2,X3)
% 0.61/1.10 | ~ member(X1,X3)
% 0.61/1.10 | ~ commutes(X3,X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_926_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2345,plain,
% 0.61/1.10 ( apply_to_two_arguments(X0,X1,X2) = apply_to_two_arguments(X0,X2,X1)
% 0.61/1.10 | ~ member(X2,X3)
% 0.61/1.10 | ~ member(X1,X3)
% 0.61/1.10 | ~ commutes(X3,X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_436]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2346,plain,
% 0.61/1.10 ( ~ member(X0,X1)
% 0.61/1.10 | ~ member(X2,X1)
% 0.61/1.10 | ~ commutes(X1,X3)
% 0.61/1.10 | apply_to_two_arguments(X3,X2,X0) = apply_to_two_arguments(X3,X0,X2) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2345]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_431,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | ~ member(successor(f43(X0,X1)),X1)
% 0.61/1.10 | ~ member(empty_set,X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,natural_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_927_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2335,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | ~ member(successor(f43(X0,X1)),X1)
% 0.61/1.10 | ~ member(empty_set,X1)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,natural_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_431]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2336,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(empty_set,X0)
% 0.61/1.10 | ~ member(successor(f43(X1,X0)),X0)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2335]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_414,plain,
% 0.61/1.10 ( apply_to_two_arguments(X0,X1,X2) = X1
% 0.61/1.10 | ~ member(X1,X3)
% 0.61/1.10 | ~ identity(X3,X0,X2) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_935_2) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2301,plain,
% 0.61/1.10 ( apply_to_two_arguments(X0,X1,X2) = X1
% 0.61/1.10 | ~ member(X1,X3)
% 0.61/1.10 | ~ identity(X3,X0,X2) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_414]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2302,plain,
% 0.61/1.10 ( ~ member(X0,X1)
% 0.61/1.10 | ~ identity(X1,X2,X3)
% 0.61/1.10 | apply_to_two_arguments(X2,X0,X3) = X0 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2301]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_411,plain,
% 0.61/1.10 ( apply_to_two_arguments(X0,X1,X2) = X2
% 0.61/1.10 | ~ member(X2,X3)
% 0.61/1.10 | ~ identity(X3,X0,X1) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_936_2) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2295,plain,
% 0.61/1.10 ( apply_to_two_arguments(X0,X1,X2) = X2
% 0.61/1.10 | ~ member(X2,X3)
% 0.61/1.10 | ~ identity(X3,X0,X1) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_411]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2296,plain,
% 0.61/1.10 ( ~ member(X0,X1)
% 0.61/1.10 | ~ identity(X1,X2,X3)
% 0.61/1.10 | apply_to_two_arguments(X2,X3,X0) = X0 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2295]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_409,plain,
% 0.61/1.10 ( ~ single_valued_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X0)
% 0.61/1.10 | X2 = X3
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_937_1) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2291,plain,
% 0.61/1.10 ( ~ single_valued_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X0)
% 0.61/1.10 | X2 = X3
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_409]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2292,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ member(ordered_pair(X0,X1),X3)
% 0.61/1.10 | ~ member(ordered_pair(X0,X2),X3)
% 0.61/1.10 | ~ single_valued_set(X3)
% 0.61/1.10 | X1 = X2 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2291]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_407,plain,
% 0.61/1.10 ( ~ single_valued_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | X2 = X3
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X0)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X0)
% 0.61/1.10 | ~ little_set(X3) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_937_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2287,plain,
% 0.61/1.10 ( ~ single_valued_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | X2 = X3
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X0)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X0)
% 0.61/1.10 | ~ little_set(X3) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_407]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2288,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ member(ordered_pair(X0,X2),X3)
% 0.61/1.10 | ~ member(ordered_pair(X0,X1),X3)
% 0.61/1.10 | ~ single_valued_set(X3)
% 0.61/1.10 | X1 = X2 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2287]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_406,plain,
% 0.61/1.10 ( ~ single_valued_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | X2 = X3
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X0)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X0)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X2) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_937_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2285,plain,
% 0.61/1.10 ( ~ single_valued_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | X2 = X3
% 0.61/1.10 | ~ member(ordered_pair(X1,X3),X0)
% 0.61/1.10 | ~ member(ordered_pair(X1,X2),X0)
% 0.61/1.10 | ~ little_set(X3)
% 0.61/1.10 | ~ little_set(X2) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_406]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2286,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ member(ordered_pair(X0,X1),X3)
% 0.61/1.10 | ~ member(ordered_pair(X0,X2),X3)
% 0.61/1.10 | ~ single_valued_set(X3)
% 0.61/1.10 | X2 = X1 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2285]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_404,plain,
% 0.61/1.10 ( X0 = X1
% 0.61/1.10 | ~ member(ordered_pair(X2,X1),X3)
% 0.61/1.10 | ~ member(ordered_pair(X2,X0),X3)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ single_valued_set(X3) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_937_6) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2281,plain,
% 0.61/1.10 ( X0 = X1
% 0.61/1.10 | ~ member(ordered_pair(X2,X1),X3)
% 0.61/1.10 | ~ member(ordered_pair(X2,X0),X3)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ single_valued_set(X3) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_404]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2282,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X2)
% 0.61/1.10 | ~ member(ordered_pair(X2,X0),X3)
% 0.61/1.10 | ~ member(ordered_pair(X2,X1),X3)
% 0.61/1.10 | ~ single_valued_set(X3)
% 0.61/1.10 | X1 = X0 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2281]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_400,plain,
% 0.61/1.10 ( closed(X0,X1)
% 0.61/1.10 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_938_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2273,plain,
% 0.61/1.10 ( closed(X0,X1)
% 0.61/1.10 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_400]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2274,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | closed(X1,X0)
% 0.61/1.10 | ~ maps(X0,cross_product(X1,X1),X1) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2273]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_396,plain,
% 0.61/1.10 ( member(X0,even_numbers)
% 0.61/1.10 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_939_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2265,plain,
% 0.61/1.10 ( member(X0,even_numbers)
% 0.61/1.10 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_396]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2266,plain,
% 0.61/1.10 ( ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(X1,even_numbers)
% 0.61/1.10 | apply_to_two_arguments(plus,X0,X0) != X1 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2265]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_392,plain,
% 0.61/1.10 ( member(X0,converse(X1))
% 0.61/1.10 | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.61/1.10 | ~ ordered_pair_predicate(X0)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_940_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2257,plain,
% 0.61/1.10 ( member(X0,converse(X1))
% 0.61/1.10 | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.61/1.10 | ~ ordered_pair_predicate(X0)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_392]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2258,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.61/1.10 | member(X0,converse(X1))
% 0.61/1.10 | ~ ordered_pair_predicate(X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2257]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_388,plain,
% 0.61/1.10 ( member(ordered_pair(ordered_pair(empty_set,X0),X0),f49(X1))
% 0.61/1.10 | member(X1,plus)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ little_set(X1) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_941_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2249,plain,
% 0.61/1.10 ( member(ordered_pair(ordered_pair(empty_set,X0),X0),f49(X1))
% 0.61/1.10 | member(X1,plus)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ little_set(X1) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_388]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2250,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(ordered_pair(ordered_pair(empty_set,X1),X1),f49(X0))
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(X0,plus) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2249]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_384,plain,
% 0.61/1.10 ( member(ordered_pair(ordered_pair(empty_set,X0),empty_set),f54(X1))
% 0.61/1.10 | member(X1,times)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ little_set(X1) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_942_3) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2241,plain,
% 0.61/1.10 ( member(ordered_pair(ordered_pair(empty_set,X0),empty_set),f54(X1))
% 0.61/1.10 | member(X1,times)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ little_set(X1) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_384]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2242,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(ordered_pair(ordered_pair(empty_set,X1),empty_set),f54(X0))
% 0.61/1.10 | ~ member(X1,natural_numbers)
% 0.61/1.10 | member(X0,times) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2241]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_381,plain,
% 0.61/1.10 ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_943_2) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2235,plain,
% 0.61/1.10 ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_381]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2236,plain,
% 0.61/1.10 ( ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) | X0 = X1 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2235]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_376,plain,
% 0.61/1.10 ( finite(X0)
% 0.61/1.10 | ~ one_to_one_function(X1)
% 0.61/1.10 | range_of(X1) != X0
% 0.61/1.10 | ~ maps(X1,X2,X0)
% 0.61/1.10 | ~ member(X2,natural_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_944_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2225,plain,
% 0.61/1.10 ( finite(X0)
% 0.61/1.10 | ~ one_to_one_function(X1)
% 0.61/1.10 | range_of(X1) != X0
% 0.61/1.10 | ~ maps(X1,X2,X0)
% 0.61/1.10 | ~ member(X2,natural_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_376]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2226,plain,
% 0.61/1.10 ( ~ member(X0,natural_numbers)
% 0.61/1.10 | ~ one_to_one_function(X1)
% 0.61/1.10 | finite(X2)
% 0.61/1.10 | ~ maps(X1,X0,X2)
% 0.61/1.10 | range_of(X1) != X2 ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2225]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_371,plain,
% 0.61/1.10 ( X0 = successor(empty_set)
% 0.61/1.10 | X0 = empty_set
% 0.61/1.10 | member(X0,prime_numbers)
% 0.61/1.10 | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.61/1.10 | ~ member(X0,natural_numbers) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_945_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2215,plain,
% 0.61/1.10 ( X0 = successor(empty_set)
% 0.61/1.10 | X0 = empty_set
% 0.61/1.10 | member(X0,prime_numbers)
% 0.61/1.10 | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.61/1.10 | ~ member(X0,natural_numbers) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_371]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2216,plain,
% 0.61/1.10 ( ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.61/1.10 | member(X0,prime_numbers)
% 0.61/1.10 | ~ member(X0,natural_numbers)
% 0.61/1.10 | X0 = empty_set
% 0.61/1.10 | X0 = successor(empty_set) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2215]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_366,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f53(X0,X1),natural_numbers)
% 0.61/1.10 | member(f50(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_946_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2205,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f53(X0,X1),natural_numbers)
% 0.61/1.10 | member(f50(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_366]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2206,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(f50(X1,X0),natural_numbers)
% 0.61/1.10 | member(f53(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,times)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2205]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_361,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f52(X0,X1),natural_numbers)
% 0.61/1.10 | member(f50(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_947_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2195,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f52(X0,X1),natural_numbers)
% 0.61/1.10 | member(f50(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_361]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2196,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(f50(X1,X0),natural_numbers)
% 0.61/1.10 | member(f52(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,times)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2195]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_356,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f51(X0,X1),natural_numbers)
% 0.61/1.10 | member(f50(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_948_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2185,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f51(X0,X1),natural_numbers)
% 0.61/1.10 | member(f50(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,times) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_356]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2186,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(f50(X1,X0),natural_numbers)
% 0.61/1.10 | member(f51(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,times)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2185]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_351,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f48(X0,X1),natural_numbers)
% 0.61/1.10 | member(f45(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,plus) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_949_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2175,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f48(X0,X1),natural_numbers)
% 0.61/1.10 | member(f45(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,plus) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_351]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2176,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(f45(X1,X0),natural_numbers)
% 0.61/1.10 | member(f48(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,plus)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2175]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_346,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f47(X0,X1),natural_numbers)
% 0.61/1.10 | member(f45(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,plus) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_950_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2165,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f47(X0,X1),natural_numbers)
% 0.61/1.10 | member(f45(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,plus) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_346]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2166,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(f45(X1,X0),natural_numbers)
% 0.61/1.10 | member(f47(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,plus)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2165]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_341,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f46(X0,X1),natural_numbers)
% 0.61/1.10 | member(f45(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,plus) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_951_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2155,plain,
% 0.61/1.10 ( member(X0,X1)
% 0.61/1.10 | member(f46(X0,X1),natural_numbers)
% 0.61/1.10 | member(f45(X0,X1),natural_numbers)
% 0.61/1.10 | ~ little_set(X1)
% 0.61/1.10 | ~ member(X0,plus) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_341]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2156,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | member(f45(X1,X0),natural_numbers)
% 0.61/1.10 | member(f46(X1,X0),natural_numbers)
% 0.61/1.10 | ~ member(X1,plus)
% 0.61/1.10 | member(X1,X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2155]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_336,plain,
% 0.61/1.10 ( member(X0,cross_product(X1,X2))
% 0.61/1.10 | ~ member(second(X0),X2)
% 0.61/1.10 | ~ member(first(X0),X1)
% 0.61/1.10 | ~ ordered_pair_predicate(X0)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_952_4) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2145,plain,
% 0.61/1.10 ( member(X0,cross_product(X1,X2))
% 0.61/1.10 | ~ member(second(X0),X2)
% 0.61/1.10 | ~ member(first(X0),X1)
% 0.61/1.10 | ~ ordered_pair_predicate(X0)
% 0.61/1.10 | ~ little_set(X0) ),
% 0.61/1.10 inference(copy,[status(esa)],[c_336]) ).
% 0.61/1.10
% 0.61/1.10 cnf(c_2146,plain,
% 0.61/1.10 ( ~ little_set(X0)
% 0.61/1.10 | ~ member(second(X0),X1)
% 0.61/1.10 | ~ member(first(X0),X2)
% 0.61/1.10 | member(X0,cross_product(X2,X1))
% 0.61/1.10 | ~ ordered_pair_predicate(X0) ),
% 0.61/1.10 inference(rewriting,[status(thm)],[c_2145]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_330,plain,
% 0.61/1.11 ( member(X0,image(X1,X2))
% 0.61/1.11 | second(X3) != X0
% 0.61/1.11 | ~ member(first(X3),X1)
% 0.61/1.11 | ~ member(X3,X2)
% 0.61/1.11 | ~ ordered_pair_predicate(X3)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_953_5) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2133,plain,
% 0.61/1.11 ( member(X0,image(X1,X2))
% 0.61/1.11 | second(X3) != X0
% 0.61/1.11 | ~ member(first(X3),X1)
% 0.61/1.11 | ~ member(X3,X2)
% 0.61/1.11 | ~ ordered_pair_predicate(X3)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_330]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2134,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ member(first(X1),X2)
% 0.61/1.11 | member(X0,image(X2,X3))
% 0.61/1.11 | ~ member(X1,X3)
% 0.61/1.11 | ~ ordered_pair_predicate(X1)
% 0.61/1.11 | second(X1) != X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2133]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_325,plain,
% 0.61/1.11 ( member(X0,apply(X1,X2))
% 0.61/1.11 | ~ member(X0,second(X3))
% 0.61/1.11 | first(X3) != X2
% 0.61/1.11 | ~ member(X3,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X3) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_954_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2123,plain,
% 0.61/1.11 ( member(X0,apply(X1,X2))
% 0.61/1.11 | ~ member(X0,second(X3))
% 0.61/1.11 | first(X3) != X2
% 0.61/1.11 | ~ member(X3,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X3) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_325]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2124,plain,
% 0.61/1.11 ( member(X0,apply(X1,X2))
% 0.61/1.11 | ~ member(X0,second(X3))
% 0.61/1.11 | ~ member(X3,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X3)
% 0.61/1.11 | first(X3) != X2 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2123]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_318,plain,
% 0.61/1.11 ( apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 0.61/1.11 | X0 = successor(empty_set)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_956_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2109,plain,
% 0.61/1.11 ( apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 0.61/1.11 | X0 = successor(empty_set)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_318]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2110,plain,
% 0.61/1.11 ( member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers)
% 0.61/1.11 | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | X0 = successor(empty_set) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2109]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_309,plain,
% 0.61/1.11 ( member(X0,X1)
% 0.61/1.11 | member(f43(X0,X1),X1)
% 0.61/1.11 | ~ member(empty_set,X1)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_959_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2091,plain,
% 0.61/1.11 ( member(X0,X1)
% 0.61/1.11 | member(f43(X0,X1),X1)
% 0.61/1.11 | ~ member(empty_set,X1)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_309]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2092,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ member(empty_set,X0)
% 0.61/1.11 | member(f43(X1,X0),X0)
% 0.61/1.11 | ~ member(X1,natural_numbers)
% 0.61/1.11 | member(X1,X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2091]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_305,plain,
% 0.61/1.11 ( maps(X0,X1,X2)
% 0.61/1.11 | ~ subset(range_of(X0),X2)
% 0.61/1.11 | domain_of(X0) != X1
% 0.61/1.11 | ~ function(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_960_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2083,plain,
% 0.61/1.11 ( maps(X0,X1,X2)
% 0.61/1.11 | ~ subset(range_of(X0),X2)
% 0.61/1.11 | domain_of(X0) != X1
% 0.61/1.11 | ~ function(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_305]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2084,plain,
% 0.61/1.11 ( ~ function(X0)
% 0.61/1.11 | ~ subset(range_of(X0),X1)
% 0.61/1.11 | maps(X0,X2,X1)
% 0.61/1.11 | domain_of(X0) != X2 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2083]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_289,plain,
% 0.61/1.11 ( ~ member(X0,X1) | member(X0,intersection(X1,X2)) | ~ member(X0,X2) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_969_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2051,plain,
% 0.61/1.11 ( ~ member(X0,X1) | member(X0,intersection(X1,X2)) | ~ member(X0,X2) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_289]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2052,plain,
% 0.61/1.11 ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2051]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_281,plain,
% 0.61/1.11 ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_972_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2035,plain,
% 0.61/1.11 ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_281]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2036,plain,
% 0.61/1.11 ( member(f1(X0,X1),X1) | member(f1(X0,X1),X0) | X0 = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2035]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_278,plain,
% 0.61/1.11 ( member(X0,twin_prime_numbers)
% 0.61/1.11 | ~ member(successor(successor(X0)),prime_numbers)
% 0.61/1.11 | ~ member(X0,prime_numbers) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_973_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2029,plain,
% 0.61/1.11 ( member(X0,twin_prime_numbers)
% 0.61/1.11 | ~ member(successor(successor(X0)),prime_numbers)
% 0.61/1.11 | ~ member(X0,prime_numbers) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_278]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2030,plain,
% 0.61/1.11 ( ~ member(successor(successor(X0)),prime_numbers)
% 0.61/1.11 | ~ member(X0,prime_numbers)
% 0.61/1.11 | member(X0,twin_prime_numbers) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2029]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_273,plain,
% 0.61/1.11 ( member(X0,second(X1))
% 0.61/1.11 | ~ member(X0,X2)
% 0.61/1.11 | X1 != ordered_pair(X3,X2)
% 0.61/1.11 | ~ little_set(X2)
% 0.61/1.11 | ~ little_set(X3) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_974_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2019,plain,
% 0.61/1.11 ( member(X0,second(X1))
% 0.61/1.11 | ~ member(X0,X2)
% 0.61/1.11 | X1 != ordered_pair(X3,X2)
% 0.61/1.11 | ~ little_set(X2)
% 0.61/1.11 | ~ little_set(X3) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_273]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2020,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | member(X2,second(X3))
% 0.61/1.11 | ~ member(X2,X0)
% 0.61/1.11 | X3 != ordered_pair(X1,X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2019]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_268,plain,
% 0.61/1.11 ( member(X0,first(X1))
% 0.61/1.11 | ~ member(X0,X2)
% 0.61/1.11 | X1 != ordered_pair(X2,X3)
% 0.61/1.11 | ~ little_set(X3)
% 0.61/1.11 | ~ little_set(X2) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_975_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2009,plain,
% 0.61/1.11 ( member(X0,first(X1))
% 0.61/1.11 | ~ member(X0,X2)
% 0.61/1.11 | X1 != ordered_pair(X2,X3)
% 0.61/1.11 | ~ little_set(X3)
% 0.61/1.11 | ~ little_set(X2) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_268]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2010,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | member(X2,first(X3))
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | X3 != ordered_pair(X1,X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2009]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_236,plain,
% 0.61/1.11 ( member(X0,estin)
% 0.61/1.11 | ~ member(first(X0),second(X0))
% 0.61/1.11 | ~ ordered_pair_predicate(X0)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_989_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1945,plain,
% 0.61/1.11 ( member(X0,estin)
% 0.61/1.11 | ~ member(first(X0),second(X0))
% 0.61/1.11 | ~ ordered_pair_predicate(X0)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_236]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1946,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ member(first(X0),second(X0))
% 0.61/1.11 | member(X0,estin)
% 0.61/1.11 | ~ ordered_pair_predicate(X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1945]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_235,plain,
% 0.61/1.11 ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_991_0) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1943,plain,
% 0.61/1.11 ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_235]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1944,plain,
% 0.61/1.11 ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X1,X2) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1943]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_223,plain,
% 0.61/1.11 ( member(X0,range_of(X1))
% 0.61/1.11 | X0 != second(X2)
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X2)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_994_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1919,plain,
% 0.61/1.11 ( member(X0,range_of(X1))
% 0.61/1.11 | X0 != second(X2)
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X2)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_223]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1920,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(X0,range_of(X1))
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X2)
% 0.61/1.11 | X0 != second(X2) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1919]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_221,plain,
% 0.61/1.11 ( ~ member(X0,X1) | member(X2,sigma(X1)) | ~ member(X2,X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_995_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1915,plain,
% 0.61/1.11 ( ~ member(X0,X1) | member(X2,sigma(X1)) | ~ member(X2,X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_221]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1916,plain,
% 0.61/1.11 ( member(X0,sigma(X1)) | ~ member(X2,X1) | ~ member(X0,X2) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1915]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_215,plain,
% 0.61/1.11 ( member(X0,domain_of(X1))
% 0.61/1.11 | X0 != first(X2)
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X2)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_996_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1903,plain,
% 0.61/1.11 ( member(X0,domain_of(X1))
% 0.61/1.11 | X0 != first(X2)
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X2)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_215]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1904,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(X0,domain_of(X1))
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | ~ ordered_pair_predicate(X2)
% 0.61/1.11 | X0 != first(X2) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1903]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_186,plain,
% 0.61/1.11 ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1012_0) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1845,plain,
% 0.61/1.11 ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_186]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1846,plain,
% 0.61/1.11 ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1845]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_176,plain,
% 0.61/1.11 ( member(f56(X0),natural_numbers)
% 0.61/1.11 | X0 = successor(empty_set)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1014_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1825,plain,
% 0.61/1.11 ( member(f56(X0),natural_numbers)
% 0.61/1.11 | X0 = successor(empty_set)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_176]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1826,plain,
% 0.61/1.11 ( member(f56(X0),natural_numbers)
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | X0 = successor(empty_set) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1825]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_171,plain,
% 0.61/1.11 ( member(f55(X0),natural_numbers)
% 0.61/1.11 | X0 = successor(empty_set)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1015_4) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1815,plain,
% 0.61/1.11 ( member(f55(X0),natural_numbers)
% 0.61/1.11 | X0 = successor(empty_set)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_171]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1816,plain,
% 0.61/1.11 ( member(f55(X0),natural_numbers)
% 0.61/1.11 | member(X0,prime_numbers)
% 0.61/1.11 | ~ member(X0,natural_numbers)
% 0.61/1.11 | X0 = empty_set
% 0.61/1.11 | X0 = successor(empty_set) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1815]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_129,plain,
% 0.61/1.11 ( little_set(image(X0,X1)) | ~ function(X1) | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1035_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1731,plain,
% 0.61/1.11 ( little_set(image(X0,X1)) | ~ function(X1) | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_129]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1732,plain,
% 0.61/1.11 ( little_set(image(X0,X1)) | ~ little_set(X0) | ~ function(X1) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1731]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_125,plain,
% 0.61/1.11 ( ordered_pair_predicate(X0)
% 0.61/1.11 | X0 != ordered_pair(X1,X2)
% 0.61/1.11 | ~ little_set(X2)
% 0.61/1.11 | ~ little_set(X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1036_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1723,plain,
% 0.61/1.11 ( ordered_pair_predicate(X0)
% 0.61/1.11 | X0 != ordered_pair(X1,X2)
% 0.61/1.11 | ~ little_set(X2)
% 0.61/1.11 | ~ little_set(X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_125]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1724,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | ordered_pair_predicate(X2)
% 0.61/1.11 | X2 != ordered_pair(X1,X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1723]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_118,plain,
% 0.61/1.11 ( member(X0,identity_relation)
% 0.61/1.11 | second(X0) != first(X0)
% 0.61/1.11 | ~ ordered_pair_predicate(X0)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1038_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1709,plain,
% 0.61/1.11 ( member(X0,identity_relation)
% 0.61/1.11 | second(X0) != first(X0)
% 0.61/1.11 | ~ ordered_pair_predicate(X0)
% 0.61/1.11 | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_118]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1710,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(X0,identity_relation)
% 0.61/1.11 | ~ ordered_pair_predicate(X0)
% 0.61/1.11 | second(X0) != first(X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1709]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_115,plain,
% 0.61/1.11 ( X0 = X1 | proper_subset(X0,X1) | ~ subset(X0,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1039_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1703,plain,
% 0.61/1.11 ( X0 = X1 | proper_subset(X0,X1) | ~ subset(X0,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_115]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1704,plain,
% 0.61/1.11 ( proper_subset(X0,X1) | ~ subset(X0,X1) | X0 = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1703]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_95,plain,
% 0.61/1.11 ( ordered_pair_predicate(X0) | ~ member(X0,X1) | ~ relation(X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1048_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1663,plain,
% 0.61/1.11 ( ordered_pair_predicate(X0) | ~ member(X0,X1) | ~ relation(X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_95]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1664,plain,
% 0.61/1.11 ( ~ member(X0,X1) | ~ relation(X1) | ordered_pair_predicate(X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1663]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_84,plain,
% 0.61/1.11 ( little_set(f54(X0)) | member(X0,times) | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1053_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1641,plain,
% 0.61/1.11 ( little_set(f54(X0)) | member(X0,times) | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_84]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1642,plain,
% 0.61/1.11 ( little_set(f54(X0)) | ~ little_set(X0) | member(X0,times) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1641]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_81,plain,
% 0.61/1.11 ( little_set(f49(X0)) | member(X0,plus) | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1054_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1635,plain,
% 0.61/1.11 ( little_set(f49(X0)) | member(X0,plus) | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_81]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1636,plain,
% 0.61/1.11 ( little_set(f49(X0)) | ~ little_set(X0) | member(X0,plus) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1635]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_78,plain,
% 0.61/1.11 ( little_set(f44(X0)) | member(X0,natural_numbers) | ~ little_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1055_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1629,plain,
% 0.61/1.11 ( little_set(f44(X0)) | member(X0,natural_numbers) | ~ little_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_78]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1630,plain,
% 0.61/1.11 ( little_set(f44(X0)) | ~ little_set(X0) | member(X0,natural_numbers) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1629]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_70,plain,
% 0.61/1.11 ( one_to_one_function(X0) | ~ function(converse(X0)) | ~ function(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1059_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1613,plain,
% 0.61/1.11 ( one_to_one_function(X0) | ~ function(converse(X0)) | ~ function(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_70]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1614,plain,
% 0.61/1.11 ( ~ function(converse(X0)) | ~ function(X0) | one_to_one_function(X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1613]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_39,plain,
% 0.61/1.11 ( function(X0) | ~ single_valued_set(X0) | ~ relation(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1076_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1551,plain,
% 0.61/1.11 ( function(X0) | ~ single_valued_set(X0) | ~ relation(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_39]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1552,plain,
% 0.61/1.11 ( function(X0) | ~ relation(X0) | ~ single_valued_set(X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1551]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_632,plain,
% 0.61/1.11 ( ~ closed(X0,X1)
% 0.61/1.11 | homomorphism(X2,X0,X1,X3,X4)
% 0.61/1.11 | apply(X2,apply_to_two_arguments(X1,f32(X2,X0,X1,X3,X4),f33(X2,X0,X1,X3,X4))) != apply_to_two_arguments(X4,apply(X2,f32(X2,X0,X1,X3,X4)),apply(X2,f33(X2,X0,X1,X3,X4)))
% 0.61/1.11 | ~ maps(X2,X0,X3)
% 0.61/1.11 | ~ closed(X3,X4) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_876_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2737,plain,
% 0.61/1.11 ( ~ closed(X0,X1)
% 0.61/1.11 | homomorphism(X2,X0,X1,X3,X4)
% 0.61/1.11 | apply(X2,apply_to_two_arguments(X1,f32(X2,X0,X1,X3,X4),f33(X2,X0,X1,X3,X4))) != apply_to_two_arguments(X4,apply(X2,f32(X2,X0,X1,X3,X4)),apply(X2,f33(X2,X0,X1,X3,X4)))
% 0.61/1.11 | ~ maps(X2,X0,X3)
% 0.61/1.11 | ~ closed(X3,X4) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_632]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2738,plain,
% 0.61/1.11 ( ~ closed(X0,X1)
% 0.61/1.11 | ~ closed(X2,X3)
% 0.61/1.11 | ~ maps(X4,X0,X2)
% 0.61/1.11 | homomorphism(X4,X0,X1,X2,X3)
% 0.61/1.11 | apply(X4,apply_to_two_arguments(X1,f32(X4,X0,X1,X2,X3),f33(X4,X0,X1,X2,X3))) != apply_to_two_arguments(X3,apply(X4,f32(X4,X0,X1,X2,X3)),apply(X4,f33(X4,X0,X1,X2,X3))) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2737]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_611,plain,
% 0.61/1.11 ( maps(X0,X1,X2) | ~ homomorphism(X0,X1,X3,X2,X4) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_881_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2695,plain,
% 0.61/1.11 ( maps(X0,X1,X2) | ~ homomorphism(X0,X1,X3,X2,X4) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_611]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_609,plain,
% 0.61/1.11 ( closed(X0,X1) | ~ homomorphism(X2,X3,X4,X0,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_882_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2691,plain,
% 0.61/1.11 ( closed(X0,X1) | ~ homomorphism(X2,X3,X4,X0,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_609]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_607,plain,
% 0.61/1.11 ( closed(X0,X1) | ~ homomorphism(X2,X0,X1,X3,X4) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_883_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2687,plain,
% 0.61/1.11 ( closed(X0,X1) | ~ homomorphism(X2,X0,X1,X3,X4) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_607]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_585,plain,
% 0.61/1.11 ( associative(X0,X1)
% 0.61/1.11 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,f34(X0,X1),f35(X0,X1)),f36(X0,X1)) != apply_to_two_arguments(X1,f34(X0,X1),apply_to_two_arguments(X1,f35(X0,X1),f36(X0,X1))) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_888_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2643,plain,
% 0.61/1.11 ( associative(X0,X1)
% 0.61/1.11 | apply_to_two_arguments(X1,apply_to_two_arguments(X1,f34(X0,X1),f35(X0,X1)),f36(X0,X1)) != apply_to_two_arguments(X1,f34(X0,X1),apply_to_two_arguments(X1,f35(X0,X1),f36(X0,X1))) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_585]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_573,plain,
% 0.61/1.11 ( identity(X0,X1,X2)
% 0.61/1.11 | apply_to_two_arguments(X1,f37(X0,X1,X2),X2) != f37(X0,X1,X2)
% 0.61/1.11 | apply_to_two_arguments(X1,X2,f37(X0,X1,X2)) != f37(X0,X1,X2)
% 0.61/1.11 | ~ member(X2,X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_891_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2619,plain,
% 0.61/1.11 ( identity(X0,X1,X2)
% 0.61/1.11 | apply_to_two_arguments(X1,f37(X0,X1,X2),X2) != f37(X0,X1,X2)
% 0.61/1.11 | apply_to_two_arguments(X1,X2,f37(X0,X1,X2)) != f37(X0,X1,X2)
% 0.61/1.11 | ~ member(X2,X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_573]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2620,plain,
% 0.61/1.11 ( ~ member(X0,X1)
% 0.61/1.11 | identity(X1,X2,X0)
% 0.61/1.11 | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 0.61/1.11 | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2619]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_554,plain,
% 0.61/1.11 ( member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2)
% 0.61/1.11 | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_895_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2581,plain,
% 0.61/1.11 ( member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2)
% 0.61/1.11 | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_554]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_552,plain,
% 0.61/1.11 ( member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1)
% 0.61/1.11 | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_896_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2577,plain,
% 0.61/1.11 ( member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1)
% 0.61/1.11 | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_552]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_529,plain,
% 0.61/1.11 ( maps(X0,X1,X1) | ~ inverse(X1,X2,X3,X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_902_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2531,plain,
% 0.61/1.11 ( maps(X0,X1,X1) | ~ inverse(X1,X2,X3,X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_529]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_512,plain,
% 0.61/1.11 ( member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1)
% 0.61/1.11 | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_906_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2497,plain,
% 0.61/1.11 ( member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1)
% 0.61/1.11 | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_512]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_510,plain,
% 0.61/1.11 ( member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1)
% 0.61/1.11 | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_907_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2493,plain,
% 0.61/1.11 ( member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1)
% 0.61/1.11 | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_510]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_486,plain,
% 0.61/1.11 ( commutes(X0,X1)
% 0.61/1.11 | apply_to_two_arguments(X1,f42(X0,X1),f41(X0,X1)) != apply_to_two_arguments(X1,f41(X0,X1),f42(X0,X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_912_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2445,plain,
% 0.61/1.11 ( commutes(X0,X1)
% 0.61/1.11 | apply_to_two_arguments(X1,f42(X0,X1),f41(X0,X1)) != apply_to_two_arguments(X1,f41(X0,X1),f42(X0,X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_486]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_484,plain,
% 0.61/1.11 ( inverse(X0,X1,f39(X0,X1),f40(X0,X1)) | ~ group(X0,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_913_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2441,plain,
% 0.61/1.11 ( inverse(X0,X1,f39(X0,X1),f40(X0,X1)) | ~ group(X0,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_484]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2442,plain,
% 0.61/1.11 ( ~ group(X0,X1) | inverse(X0,X1,f39(X0,X1),f40(X0,X1)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2441]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_482,plain,
% 0.61/1.11 ( member(X0,second(f28(X0,X1,X2))) | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_914_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2437,plain,
% 0.61/1.11 ( member(X0,second(f28(X0,X1,X2))) | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_482]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2438,plain,
% 0.61/1.11 ( ~ member(X0,apply(X1,X2)) | member(X0,second(f28(X0,X1,X2))) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2437]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_480,plain,
% 0.61/1.11 ( member(first(f22(X0,X1,X2)),X1) | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_915_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2433,plain,
% 0.61/1.11 ( member(first(f22(X0,X1,X2)),X1) | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_480]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_478,plain,
% 0.61/1.11 ( ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0
% 0.61/1.11 | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_916_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2429,plain,
% 0.61/1.11 ( ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0
% 0.61/1.11 | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_478]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2430,plain,
% 0.61/1.11 ( ~ member(X0,compose(X1,X2))
% 0.61/1.11 | ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2429]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_454,plain,
% 0.61/1.11 ( ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0
% 0.61/1.11 | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_920_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2381,plain,
% 0.61/1.11 ( ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0
% 0.61/1.11 | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_454]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2382,plain,
% 0.61/1.11 ( ~ member(X0,flip_range_of(X1))
% 0.61/1.11 | ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2381]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_452,plain,
% 0.61/1.11 ( ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0
% 0.61/1.11 | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_921_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2377,plain,
% 0.61/1.11 ( ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0
% 0.61/1.11 | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_452]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2378,plain,
% 0.61/1.11 ( ~ member(X0,rotate_right(X1))
% 0.61/1.11 | ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2377]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_442,plain,
% 0.61/1.11 ( member(f28(X0,X1,X2),X1) | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_924_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2357,plain,
% 0.61/1.11 ( member(f28(X0,X1,X2),X1) | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_442]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_440,plain,
% 0.61/1.11 ( member(f22(X0,X1,X2),X2) | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_925_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2353,plain,
% 0.61/1.11 ( member(f22(X0,X1,X2),X2) | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_440]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_429,plain,
% 0.61/1.11 ( first(f28(X0,X1,X2)) = X2 | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_928_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2331,plain,
% 0.61/1.11 ( first(f28(X0,X1,X2)) = X2 | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_429]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2332,plain,
% 0.61/1.11 ( ~ member(X0,apply(X1,X2)) | first(f28(X0,X1,X2)) = X2 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2331]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_427,plain,
% 0.61/1.11 ( second(f22(X0,X1,X2)) = X0 | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_929_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2327,plain,
% 0.61/1.11 ( second(f22(X0,X1,X2)) = X0 | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_427]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2328,plain,
% 0.61/1.11 ( ~ member(X0,image(X1,X2)) | second(f22(X0,X1,X2)) = X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2327]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_425,plain,
% 0.61/1.11 ( little_set(f31(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_930_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2323,plain,
% 0.61/1.11 ( little_set(f31(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_425]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_423,plain,
% 0.61/1.11 ( little_set(f30(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_931_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2319,plain,
% 0.61/1.11 ( little_set(f30(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_423]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_421,plain,
% 0.61/1.11 ( little_set(f29(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_932_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2315,plain,
% 0.61/1.11 ( little_set(f29(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_421]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_419,plain,
% 0.61/1.11 ( ordered_pair_predicate(f28(X0,X1,X2)) | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_933_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2311,plain,
% 0.61/1.11 ( ordered_pair_predicate(f28(X0,X1,X2)) | ~ member(X0,apply(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_419]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2312,plain,
% 0.61/1.11 ( ~ member(X0,apply(X1,X2)) | ordered_pair_predicate(f28(X0,X1,X2)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2311]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_417,plain,
% 0.61/1.11 ( ordered_pair_predicate(f22(X0,X1,X2)) | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_934_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2307,plain,
% 0.61/1.11 ( ordered_pair_predicate(f22(X0,X1,X2)) | ~ member(X0,image(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_417]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2308,plain,
% 0.61/1.11 ( ~ member(X0,image(X1,X2)) | ordered_pair_predicate(f22(X0,X1,X2)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2307]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_401,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | closed(X0,X1)
% 0.61/1.11 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.61/1.11 | ~ little_set(X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_938_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2275,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | closed(X0,X1)
% 0.61/1.11 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.61/1.11 | ~ little_set(X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_401]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2276,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | closed(X0,X1)
% 0.61/1.11 | ~ maps(X1,cross_product(X0,X0),X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2275]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_397,plain,
% 0.61/1.11 ( ~ member(X0,natural_numbers)
% 0.61/1.11 | member(X0,even_numbers)
% 0.61/1.11 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.61/1.11 | ~ member(X1,natural_numbers) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_939_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2267,plain,
% 0.61/1.11 ( ~ member(X0,natural_numbers)
% 0.61/1.11 | member(X0,even_numbers)
% 0.61/1.11 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.61/1.11 | ~ member(X1,natural_numbers) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_397]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2268,plain,
% 0.61/1.11 ( ~ member(X0,natural_numbers)
% 0.61/1.11 | ~ member(X1,natural_numbers)
% 0.61/1.11 | member(X0,even_numbers)
% 0.61/1.11 | apply_to_two_arguments(plus,X1,X1) != X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2267]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_382,plain,
% 0.61/1.11 ( ~ member(f1(X0,X1),X0) | X0 = X1 | ~ member(f1(X0,X1),X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_943_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2237,plain,
% 0.61/1.11 ( ~ member(f1(X0,X1),X0) | X0 = X1 | ~ member(f1(X0,X1),X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_382]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2238,plain,
% 0.61/1.11 ( ~ member(f1(X0,X1),X0) | ~ member(f1(X0,X1),X1) | X0 = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2237]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_323,plain,
% 0.61/1.11 ( subset(range_of(X0),X1) | ~ maps(X0,X2,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_955_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2119,plain,
% 0.61/1.11 ( subset(range_of(X0),X1) | ~ maps(X0,X2,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_323]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_316,plain,
% 0.61/1.11 ( identity(X0,X1,f39(X0,X1)) | ~ group(X0,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_957_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2105,plain,
% 0.61/1.11 ( identity(X0,X1,f39(X0,X1)) | ~ group(X0,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_316]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2106,plain,
% 0.61/1.11 ( ~ group(X0,X1) | identity(X0,X1,f39(X0,X1)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2105]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_314,plain,
% 0.61/1.11 ( maps(X0,cross_product(X1,X1),X1) | ~ closed(X1,X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_958_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2101,plain,
% 0.61/1.11 ( maps(X0,cross_product(X1,X1),X1) | ~ closed(X1,X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_314]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2102,plain,
% 0.61/1.11 ( ~ closed(X0,X1) | maps(X1,cross_product(X0,X0),X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2101]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_303,plain,
% 0.61/1.11 ( member(X0,X1) | ~ identity(X1,X2,X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_961_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2079,plain,
% 0.61/1.11 ( member(X0,X1) | ~ identity(X1,X2,X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_303]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_301,plain,
% 0.61/1.11 ( ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 | ~ member(X0,second(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_962_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2075,plain,
% 0.61/1.11 ( ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 | ~ member(X0,second(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_301]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2076,plain,
% 0.61/1.11 ( ~ member(X0,second(X1)) | ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2075]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_299,plain,
% 0.61/1.11 ( ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 | ~ member(X0,first(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_963_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2071,plain,
% 0.61/1.11 ( ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 | ~ member(X0,first(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_299]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2072,plain,
% 0.61/1.11 ( ~ member(X0,first(X1)) | ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2071]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_297,plain,
% 0.61/1.11 ( member(ordered_pair(second(X0),first(X0)),X1)
% 0.61/1.11 | ~ member(X0,converse(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_964_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2067,plain,
% 0.61/1.11 ( member(ordered_pair(second(X0),first(X0)),X1)
% 0.61/1.11 | ~ member(X0,converse(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_297]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_295,plain,
% 0.61/1.11 ( domain_of(X0) = X1 | ~ maps(X0,X1,X2) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_966_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2063,plain,
% 0.61/1.11 ( domain_of(X0) = X1 | ~ maps(X0,X1,X2) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_295]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2064,plain,
% 0.61/1.11 ( ~ maps(X0,X1,X2) | domain_of(X0) = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2063]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_293,plain,
% 0.61/1.11 ( function(X0) | ~ maps(X0,X1,X2) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_967_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2059,plain,
% 0.61/1.11 ( function(X0) | ~ maps(X0,X1,X2) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_293]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_291,plain,
% 0.61/1.11 ( apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0
% 0.61/1.11 | ~ member(X0,even_numbers) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_968_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2055,plain,
% 0.61/1.11 ( apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0
% 0.61/1.11 | ~ member(X0,even_numbers) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_291]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2056,plain,
% 0.61/1.11 ( ~ member(X0,even_numbers)
% 0.61/1.11 | apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2055]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_288,plain,
% 0.61/1.11 ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_969_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2049,plain,
% 0.61/1.11 ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_288]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_286,plain,
% 0.61/1.11 ( member(second(X0),X1) | ~ member(X0,cross_product(X2,X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_970_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2045,plain,
% 0.61/1.11 ( member(second(X0),X1) | ~ member(X0,cross_product(X2,X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_286]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_284,plain,
% 0.61/1.11 ( member(first(X0),X1) | ~ member(X0,cross_product(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_971_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2041,plain,
% 0.61/1.11 ( member(first(X0),X1) | ~ member(X0,cross_product(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_284]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_282,plain,
% 0.61/1.11 ( member(f1(X0,X1),X0) | X0 = X1 | member(f1(X0,X1),X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_972_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2037,plain,
% 0.61/1.11 ( member(f1(X0,X1),X0) | X0 = X1 | member(f1(X0,X1),X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_282]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2038,plain,
% 0.61/1.11 ( member(f1(X0,X1),X0) | member(f1(X0,X1),X1) | X0 = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2037]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_274,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(X1,second(X2))
% 0.61/1.11 | ~ member(X1,X3)
% 0.61/1.11 | X2 != ordered_pair(X0,X3)
% 0.61/1.11 | ~ little_set(X3) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_974_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2021,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(X1,second(X2))
% 0.61/1.11 | ~ member(X1,X3)
% 0.61/1.11 | X2 != ordered_pair(X0,X3)
% 0.61/1.11 | ~ little_set(X3) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_274]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2022,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | member(X2,second(X3))
% 0.61/1.11 | ~ member(X2,X1)
% 0.61/1.11 | X3 != ordered_pair(X0,X1) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2021]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_269,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(X1,first(X2))
% 0.61/1.11 | ~ member(X1,X0)
% 0.61/1.11 | X2 != ordered_pair(X0,X3)
% 0.61/1.11 | ~ little_set(X3) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_975_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2011,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(X1,first(X2))
% 0.61/1.11 | ~ member(X1,X0)
% 0.61/1.11 | X2 != ordered_pair(X0,X3)
% 0.61/1.11 | ~ little_set(X3) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_269]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2012,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | ~ little_set(X1)
% 0.61/1.11 | member(X2,first(X3))
% 0.61/1.11 | ~ member(X2,X0)
% 0.61/1.11 | X3 != ordered_pair(X0,X1) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2011]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_264,plain,
% 0.61/1.11 ( member(successor(X0),f44(X1))
% 0.61/1.11 | member(X1,natural_numbers)
% 0.61/1.11 | ~ member(X0,f44(X1))
% 0.61/1.11 | ~ little_set(X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_976_3) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2001,plain,
% 0.61/1.11 ( member(successor(X0),f44(X1))
% 0.61/1.11 | member(X1,natural_numbers)
% 0.61/1.11 | ~ member(X0,f44(X1))
% 0.61/1.11 | ~ little_set(X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_264]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_2002,plain,
% 0.61/1.11 ( ~ little_set(X0)
% 0.61/1.11 | member(successor(X1),f44(X0))
% 0.61/1.11 | member(X0,natural_numbers)
% 0.61/1.11 | ~ member(X1,f44(X0)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_2001]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_262,plain,
% 0.61/1.11 ( subset(X0,X1) | ~ member(f17(X0,X1),X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_977_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1997,plain,
% 0.61/1.11 ( subset(X0,X1) | ~ member(f17(X0,X1),X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_262]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1998,plain,
% 0.61/1.11 ( ~ member(f17(X0,X1),X1) | subset(X0,X1) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1997]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_260,plain,
% 0.61/1.11 ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_978_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1993,plain,
% 0.61/1.11 ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_260]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1994,plain,
% 0.61/1.11 ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1993]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_258,plain,
% 0.61/1.11 ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_979_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1989,plain,
% 0.61/1.11 ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_258]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1990,plain,
% 0.61/1.11 ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1989]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_256,plain,
% 0.61/1.11 ( maps(f58(X0),f57(X0),X0) | ~ finite(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_980_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1985,plain,
% 0.61/1.11 ( maps(f58(X0),f57(X0),X0) | ~ finite(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_256]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1986,plain,
% 0.61/1.11 ( ~ finite(X0) | maps(f58(X0),f57(X0),X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1985]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_254,plain,
% 0.61/1.11 ( member(f27(X0,X1),X1) | ~ member(X0,range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_981_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1981,plain,
% 0.61/1.11 ( member(f27(X0,X1),X1) | ~ member(X0,range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_254]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_252,plain,
% 0.61/1.11 ( member(X0,f16(X0,X1)) | ~ member(X0,sigma(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_982_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1977,plain,
% 0.61/1.11 ( member(X0,f16(X0,X1)) | ~ member(X0,sigma(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_252]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1978,plain,
% 0.61/1.11 ( ~ member(X0,sigma(X1)) | member(X0,f16(X0,X1)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1977]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_250,plain,
% 0.61/1.11 ( member(f16(X0,X1),X1) | ~ member(X0,sigma(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_983_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1973,plain,
% 0.61/1.11 ( member(f16(X0,X1),X1) | ~ member(X0,sigma(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_250]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_248,plain,
% 0.61/1.11 ( member(f8(X0,X1),X1) | ~ member(X0,domain_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_984_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1969,plain,
% 0.61/1.11 ( member(f8(X0,X1),X1) | ~ member(X0,domain_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_248]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_246,plain,
% 0.61/1.11 ( member(X0,f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_985_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1965,plain,
% 0.61/1.11 ( member(X0,f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_246]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1966,plain,
% 0.61/1.11 ( ~ member(X0,second(X1)) | member(X0,f7(X0,X1)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1965]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_244,plain,
% 0.61/1.11 ( member(X0,f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_986_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1961,plain,
% 0.61/1.11 ( member(X0,f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_244]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1962,plain,
% 0.61/1.11 ( ~ member(X0,first(X1)) | member(X0,f4(X0,X1)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1961]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_242,plain,
% 0.61/1.11 ( member(ordered_pair(f19(X0),f21(X0)),X0) | single_valued_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_987_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1957,plain,
% 0.61/1.11 ( member(ordered_pair(f19(X0),f21(X0)),X0) | single_valued_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_242]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_240,plain,
% 0.61/1.11 ( member(ordered_pair(f19(X0),f20(X0)),X0) | single_valued_set(X0) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_988_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1953,plain,
% 0.61/1.11 ( member(ordered_pair(f19(X0),f20(X0)),X0) | single_valued_set(X0) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_240]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_233,plain,
% 0.61/1.11 ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X2,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_991_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1939,plain,
% 0.61/1.11 ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X2,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_233]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_231,plain,
% 0.61/1.11 ( ordered_pair_predicate(X0) | ~ member(X0,cross_product(X1,X2)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_992_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1935,plain,
% 0.61/1.11 ( ordered_pair_predicate(X0) | ~ member(X0,cross_product(X1,X2)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_231]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1936,plain,
% 0.61/1.11 ( ~ member(X0,cross_product(X1,X2)) | ordered_pair_predicate(X0) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1935]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_230,plain,
% 0.61/1.11 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_993_0) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1933,plain,
% 0.61/1.11 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.61/1.11 inference(copy,[status(esa)],[c_230]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_228,plain,
% 0.61/1.11 ( X0 = X1 | X0 = X2 | ~ member(X0,non_ordered_pair(X2,X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_993_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1929,plain,
% 0.61/1.11 ( X0 = X1 | X0 = X2 | ~ member(X0,non_ordered_pair(X2,X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_228]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1930,plain,
% 0.61/1.11 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X2 | X0 = X1 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1929]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_220,plain,
% 0.61/1.11 ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_995_2) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1913,plain,
% 0.61/1.11 ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_220]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_213,plain,
% 0.61/1.11 ( second(f27(X0,X1)) = X0 | ~ member(X0,range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_997_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1899,plain,
% 0.61/1.11 ( second(f27(X0,X1)) = X0 | ~ member(X0,range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_213]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1900,plain,
% 0.61/1.11 ( ~ member(X0,range_of(X1)) | second(f27(X0,X1)) = X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1899]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_211,plain,
% 0.61/1.11 ( first(f8(X0,X1)) = X0 | ~ member(X0,domain_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_998_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1895,plain,
% 0.61/1.11 ( first(f8(X0,X1)) = X0 | ~ member(X0,domain_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_211]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1896,plain,
% 0.61/1.11 ( ~ member(X0,domain_of(X1)) | first(f8(X0,X1)) = X0 ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1895]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_209,plain,
% 0.61/1.11 ( ordered_pair_predicate(f27(X0,X1)) | ~ member(X0,range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_999_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1891,plain,
% 0.61/1.11 ( ordered_pair_predicate(f27(X0,X1)) | ~ member(X0,range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_209]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1892,plain,
% 0.61/1.11 ( ~ member(X0,range_of(X1)) | ordered_pair_predicate(f27(X0,X1)) ),
% 0.61/1.11 inference(rewriting,[status(thm)],[c_1891]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_207,plain,
% 0.61/1.11 ( little_set(f14(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1000_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1887,plain,
% 0.61/1.11 ( little_set(f14(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_207]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_205,plain,
% 0.61/1.11 ( little_set(f13(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1001_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1883,plain,
% 0.61/1.11 ( little_set(f13(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_205]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_203,plain,
% 0.61/1.11 ( little_set(f12(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1002_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1879,plain,
% 0.61/1.11 ( little_set(f12(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_203]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_201,plain,
% 0.61/1.11 ( little_set(f11(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1003_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1875,plain,
% 0.61/1.11 ( little_set(f11(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_201]) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_199,plain,
% 0.61/1.11 ( little_set(f10(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1004_1) ).
% 0.61/1.11
% 0.61/1.11 cnf(c_1871,plain,
% 0.61/1.11 ( little_set(f10(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.11 inference(copy,[status(esa)],[c_199]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_197,plain,
% 0.61/1.12 ( little_set(f9(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1005_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1867,plain,
% 0.61/1.12 ( little_set(f9(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_197]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_195,plain,
% 0.61/1.12 ( ordered_pair_predicate(f8(X0,X1)) | ~ member(X0,domain_of(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1006_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1863,plain,
% 0.61/1.12 ( ordered_pair_predicate(f8(X0,X1)) | ~ member(X0,domain_of(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_195]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1864,plain,
% 0.61/1.12 ( ~ member(X0,domain_of(X1)) | ordered_pair_predicate(f8(X0,X1)) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1863]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_193,plain,
% 0.61/1.12 ( little_set(f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1007_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1859,plain,
% 0.61/1.12 ( little_set(f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_193]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_191,plain,
% 0.61/1.12 ( little_set(f6(X0,X1)) | ~ member(X0,second(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1008_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1855,plain,
% 0.61/1.12 ( little_set(f6(X0,X1)) | ~ member(X0,second(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_191]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_189,plain,
% 0.61/1.12 ( little_set(f5(X0,X1)) | ~ member(X0,first(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1009_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1851,plain,
% 0.61/1.12 ( little_set(f5(X0,X1)) | ~ member(X0,first(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_189]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_187,plain,
% 0.61/1.12 ( little_set(f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1010_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1847,plain,
% 0.61/1.12 ( little_set(f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_187]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_184,plain,
% 0.61/1.12 ( member(X0,X1) | ~ member(X0,X2) | ~ subset(X2,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1012_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1841,plain,
% 0.61/1.12 ( member(X0,X1) | ~ member(X0,X2) | ~ subset(X2,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_184]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_181,plain,
% 0.61/1.12 ( member(ordered_pair(X0,f26(X0)),f25)
% 0.61/1.12 | X0 = empty_set
% 0.61/1.12 | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1013_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1835,plain,
% 0.61/1.12 ( member(ordered_pair(X0,f26(X0)),f25)
% 0.61/1.12 | X0 = empty_set
% 0.61/1.12 | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_181]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1836,plain,
% 0.61/1.12 ( ~ little_set(X0)
% 0.61/1.12 | member(ordered_pair(X0,f26(X0)),f25)
% 0.61/1.12 | X0 = empty_set ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1835]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_169,plain,
% 0.61/1.12 ( ~ member(X0,X1) | ~ member(X0,complement(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1016_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1811,plain,
% 0.61/1.12 ( ~ member(X0,X1) | ~ member(X0,complement(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_169]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1812,plain,
% 0.61/1.12 ( ~ member(X0,complement(X1)) | ~ member(X0,X1) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1811]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_167,plain,
% 0.61/1.12 ( member(f42(X0,X1),X0) | commutes(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1017_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1807,plain,
% 0.61/1.12 ( member(f42(X0,X1),X0) | commutes(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_167]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_165,plain,
% 0.61/1.12 ( member(f41(X0,X1),X0) | commutes(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1018_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1803,plain,
% 0.61/1.12 ( member(f41(X0,X1),X0) | commutes(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_165]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_163,plain,
% 0.61/1.12 ( member(f36(X0,X1),X0) | associative(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1019_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1799,plain,
% 0.61/1.12 ( member(f36(X0,X1),X0) | associative(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_163]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_161,plain,
% 0.61/1.12 ( member(f35(X0,X1),X0) | associative(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1020_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1795,plain,
% 0.61/1.12 ( member(f35(X0,X1),X0) | associative(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_161]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_159,plain,
% 0.61/1.12 ( member(f34(X0,X1),X0) | associative(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1021_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1791,plain,
% 0.61/1.12 ( member(f34(X0,X1),X0) | associative(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_159]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_157,plain,
% 0.61/1.12 ( member(f23(X0,X1),X1) | disjoint(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1022_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1787,plain,
% 0.61/1.12 ( member(f23(X0,X1),X1) | disjoint(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_157]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_155,plain,
% 0.61/1.12 ( member(f23(X0,X1),X0) | disjoint(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1023_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1783,plain,
% 0.61/1.12 ( member(f23(X0,X1),X0) | disjoint(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_155]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_153,plain,
% 0.61/1.12 ( member(f17(X0,X1),X0) | subset(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1024_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1779,plain,
% 0.61/1.12 ( member(f17(X0,X1),X0) | subset(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_153]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_151,plain,
% 0.61/1.12 ( member(successor(successor(X0)),prime_numbers)
% 0.61/1.12 | ~ member(X0,twin_prime_numbers) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1025_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1775,plain,
% 0.61/1.12 ( member(successor(successor(X0)),prime_numbers)
% 0.61/1.12 | ~ member(X0,twin_prime_numbers) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_151]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_148,plain,
% 0.61/1.12 ( member(X0,non_ordered_pair(X1,X2)) | X0 != X2 | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1026_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1769,plain,
% 0.61/1.12 ( member(X0,non_ordered_pair(X1,X2)) | X0 != X2 | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_148]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1770,plain,
% 0.61/1.12 ( ~ little_set(X0) | member(X0,non_ordered_pair(X1,X2)) | X0 != X2 ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1769]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_145,plain,
% 0.61/1.12 ( member(X0,non_ordered_pair(X1,X2)) | X0 != X1 | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1027_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1763,plain,
% 0.61/1.12 ( member(X0,non_ordered_pair(X1,X2)) | X0 != X1 | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_145]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1764,plain,
% 0.61/1.12 ( ~ little_set(X0) | member(X0,non_ordered_pair(X1,X2)) | X0 != X1 ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1763]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_142,plain,
% 0.61/1.12 ( member(X0,powerset(X1)) | ~ subset(X0,X1) | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1029_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1757,plain,
% 0.61/1.12 ( member(X0,powerset(X1)) | ~ subset(X0,X1) | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_142]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1758,plain,
% 0.61/1.12 ( ~ little_set(X0) | member(X0,powerset(X1)) | ~ subset(X0,X1) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1757]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_140,plain,
% 0.61/1.12 ( member(first(X0),second(X0)) | ~ member(X0,estin) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1030_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1753,plain,
% 0.61/1.12 ( member(first(X0),second(X0)) | ~ member(X0,estin) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_140]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_138,plain,
% 0.61/1.12 ( subset(X0,X1) | ~ member(X0,powerset(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1031_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1749,plain,
% 0.61/1.12 ( subset(X0,X1) | ~ member(X0,powerset(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_138]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1750,plain,
% 0.61/1.12 ( ~ member(X0,powerset(X1)) | subset(X0,X1) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1749]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_136,plain,
% 0.61/1.12 ( member(X0,times) | ~ member(X0,f54(X0)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1032_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1745,plain,
% 0.61/1.12 ( member(X0,times) | ~ member(X0,f54(X0)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_136]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_134,plain,
% 0.61/1.12 ( member(X0,plus) | ~ member(X0,f49(X0)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1033_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1741,plain,
% 0.61/1.12 ( member(X0,plus) | ~ member(X0,f49(X0)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_134]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_132,plain,
% 0.61/1.12 ( member(X0,natural_numbers) | ~ member(X0,f44(X0)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1034_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1737,plain,
% 0.61/1.12 ( member(X0,natural_numbers) | ~ member(X0,f44(X0)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_132]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_126,plain,
% 0.61/1.12 ( ~ little_set(X0)
% 0.61/1.12 | ordered_pair_predicate(X1)
% 0.61/1.12 | X1 != ordered_pair(X0,X2)
% 0.61/1.12 | ~ little_set(X2) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1036_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1725,plain,
% 0.61/1.12 ( ~ little_set(X0)
% 0.61/1.12 | ordered_pair_predicate(X1)
% 0.61/1.12 | X1 != ordered_pair(X0,X2)
% 0.61/1.12 | ~ little_set(X2) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_126]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1726,plain,
% 0.61/1.12 ( ~ little_set(X0)
% 0.61/1.12 | ~ little_set(X1)
% 0.61/1.12 | ordered_pair_predicate(X2)
% 0.61/1.12 | X2 != ordered_pair(X0,X1) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1725]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_122,plain,
% 0.61/1.12 ( member(X0,X1) | member(X0,complement(X1)) | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1037_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1717,plain,
% 0.61/1.12 ( member(X0,X1) | member(X0,complement(X1)) | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_122]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1718,plain,
% 0.61/1.12 ( ~ little_set(X0) | member(X0,complement(X1)) | member(X0,X1) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1717]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_113,plain,
% 0.61/1.12 ( member(f59(X0),natural_numbers) | ~ member(X0,even_numbers) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1040_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1699,plain,
% 0.61/1.12 ( member(f59(X0),natural_numbers) | ~ member(X0,even_numbers) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_113]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_111,plain,
% 0.61/1.12 ( member(successor(X0),infinity) | ~ member(X0,infinity) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1041_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1695,plain,
% 0.61/1.12 ( member(successor(X0),infinity) | ~ member(X0,infinity) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_111]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_108,plain,
% 0.61/1.12 ( member(empty_set,f44(X0))
% 0.61/1.12 | member(X0,natural_numbers)
% 0.61/1.12 | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1042_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1689,plain,
% 0.61/1.12 ( member(empty_set,f44(X0))
% 0.61/1.12 | member(X0,natural_numbers)
% 0.61/1.12 | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_108]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1690,plain,
% 0.61/1.12 ( ~ little_set(X0)
% 0.61/1.12 | member(empty_set,f44(X0))
% 0.61/1.12 | member(X0,natural_numbers) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1689]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_106,plain,
% 0.61/1.12 ( associative(X0,X1) | ~ group(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1043_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1685,plain,
% 0.61/1.12 ( associative(X0,X1) | ~ group(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_106]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1686,plain,
% 0.61/1.12 ( ~ group(X0,X1) | associative(X0,X1) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1685]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_104,plain,
% 0.61/1.12 ( closed(X0,X1) | ~ group(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1044_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1681,plain,
% 0.61/1.12 ( closed(X0,X1) | ~ group(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_104]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_102,plain,
% 0.61/1.12 ( subset(X0,X1) | ~ proper_subset(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1045_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1677,plain,
% 0.61/1.12 ( subset(X0,X1) | ~ proper_subset(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_102]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1678,plain,
% 0.61/1.12 ( ~ proper_subset(X0,X1) | subset(X0,X1) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1677]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_100,plain,
% 0.61/1.12 ( ordered_pair_predicate(X0) | ~ member(X0,converse(X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1046_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1673,plain,
% 0.61/1.12 ( ordered_pair_predicate(X0) | ~ member(X0,converse(X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_100]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1674,plain,
% 0.61/1.12 ( ~ member(X0,converse(X1)) | ordered_pair_predicate(X0) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1673]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_98,plain,
% 0.61/1.12 ( ordered_pair(f2(X0),f3(X0)) = X0 | ~ ordered_pair_predicate(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1047_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1669,plain,
% 0.61/1.12 ( ordered_pair(f2(X0),f3(X0)) = X0 | ~ ordered_pair_predicate(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_98]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1670,plain,
% 0.61/1.12 ( ~ ordered_pair_predicate(X0) | ordered_pair(f2(X0),f3(X0)) = X0 ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1669]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_93,plain,
% 0.61/1.12 ( member(X0,natural_numbers) | ~ member(X0,even_numbers) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1049_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1659,plain,
% 0.61/1.12 ( member(X0,natural_numbers) | ~ member(X0,even_numbers) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_93]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_91,plain,
% 0.61/1.12 ( member(X0,prime_numbers) | ~ member(X0,twin_prime_numbers) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1050_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1655,plain,
% 0.61/1.12 ( member(X0,prime_numbers) | ~ member(X0,twin_prime_numbers) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_91]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_89,plain,
% 0.61/1.12 ( member(X0,natural_numbers) | ~ member(X0,prime_numbers) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1051_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1651,plain,
% 0.61/1.12 ( member(X0,natural_numbers) | ~ member(X0,prime_numbers) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_89]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1652,plain,
% 0.61/1.12 ( ~ member(X0,prime_numbers) | member(X0,natural_numbers) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1651]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_87,plain,
% 0.61/1.12 ( X0 = X1 | little_set(f1(X0,X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1052_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1647,plain,
% 0.61/1.12 ( X0 = X1 | little_set(f1(X0,X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_87]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1648,plain,
% 0.61/1.12 ( little_set(f1(X0,X1)) | X0 = X1 ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1647]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_75,plain,
% 0.61/1.12 ( member(f26(X0),X0) | X0 = empty_set | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1057_2) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1623,plain,
% 0.61/1.12 ( member(f26(X0),X0) | X0 = empty_set | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_75]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1624,plain,
% 0.61/1.12 ( ~ little_set(X0) | member(f26(X0),X0) | X0 = empty_set ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1623]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_73,plain,
% 0.61/1.12 ( second(X0) = first(X0) | ~ member(X0,identity_relation) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1058_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1619,plain,
% 0.61/1.12 ( second(X0) = first(X0) | ~ member(X0,identity_relation) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_73]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1620,plain,
% 0.61/1.12 ( ~ member(X0,identity_relation) | second(X0) = first(X0) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1619]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_68,plain,
% 0.61/1.12 ( little_set(X0) | ~ closed(X1,X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1060_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1609,plain,
% 0.61/1.12 ( little_set(X0) | ~ closed(X1,X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_68]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_66,plain,
% 0.61/1.12 ( little_set(X0) | ~ closed(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1061_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1605,plain,
% 0.61/1.12 ( little_set(X0) | ~ closed(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_66]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_64,plain,
% 0.61/1.12 ( little_set(X0) | ~ member(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1062_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1601,plain,
% 0.61/1.12 ( little_set(X0) | ~ member(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_64]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_62,plain,
% 0.61/1.12 ( X0 != successor(empty_set) | ~ member(X0,prime_numbers) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1063_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1597,plain,
% 0.61/1.12 ( X0 != successor(empty_set) | ~ member(X0,prime_numbers) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_62]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1598,plain,
% 0.61/1.12 ( ~ member(X0,prime_numbers) | X0 != successor(empty_set) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1597]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_60,plain,
% 0.61/1.12 ( X0 != X1 | ~ proper_subset(X0,X1) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1064_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1593,plain,
% 0.61/1.12 ( X0 != X1 | ~ proper_subset(X0,X1) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_60]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1594,plain,
% 0.61/1.12 ( ~ proper_subset(X0,X1) | X0 != X1 ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1593]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_58,plain,
% 0.61/1.12 ( member(f57(X0),natural_numbers) | ~ finite(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1065_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1589,plain,
% 0.61/1.12 ( member(f57(X0),natural_numbers) | ~ finite(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_58]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_56,plain,
% 0.61/1.12 ( member(f18(X0),X0) | relation(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1066_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1585,plain,
% 0.61/1.12 ( member(f18(X0),X0) | relation(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_56]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_54,plain,
% 0.61/1.12 ( ordered_pair_predicate(X0) | ~ member(X0,identity_relation) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1067_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1581,plain,
% 0.61/1.12 ( ordered_pair_predicate(X0) | ~ member(X0,identity_relation) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_54]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1582,plain,
% 0.61/1.12 ( ~ member(X0,identity_relation) | ordered_pair_predicate(X0) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1581]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_52,plain,
% 0.61/1.12 ( ordered_pair_predicate(X0) | ~ member(X0,estin) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1068_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1577,plain,
% 0.61/1.12 ( ordered_pair_predicate(X0) | ~ member(X0,estin) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_52]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1578,plain,
% 0.61/1.12 ( ~ member(X0,estin) | ordered_pair_predicate(X0) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1577]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_50,plain,
% 0.61/1.12 ( X0 != empty_set | ~ member(X0,prime_numbers) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1070_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1573,plain,
% 0.61/1.12 ( X0 != empty_set | ~ member(X0,prime_numbers) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_50]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1574,plain,
% 0.61/1.12 ( ~ member(X0,prime_numbers) | X0 != empty_set ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1573]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_48,plain,
% 0.61/1.12 ( disjoint(f24(X0),X0) | X0 = empty_set ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1071_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1569,plain,
% 0.61/1.12 ( disjoint(f24(X0),X0) | X0 = empty_set ),
% 0.61/1.12 inference(copy,[status(esa)],[c_48]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_46,plain,
% 0.61/1.12 ( member(f24(X0),X0) | X0 = empty_set ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1072_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1565,plain,
% 0.61/1.12 ( member(f24(X0),X0) | X0 = empty_set ),
% 0.61/1.12 inference(copy,[status(esa)],[c_46]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_44,plain,
% 0.61/1.12 ( relation(X0) | ~ ordered_pair_predicate(f18(X0)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1073_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1561,plain,
% 0.61/1.12 ( relation(X0) | ~ ordered_pair_predicate(f18(X0)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_44]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_42,plain,
% 0.61/1.12 ( member(X0,universal_set) | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1075_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1557,plain,
% 0.61/1.12 ( member(X0,universal_set) | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_42]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1558,plain,
% 0.61/1.12 ( ~ little_set(X0) | member(X0,universal_set) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1557]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_37,plain,
% 0.61/1.12 ( range_of(f58(X0)) = X0 | ~ finite(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1077_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1547,plain,
% 0.61/1.12 ( range_of(f58(X0)) = X0 | ~ finite(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_37]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1548,plain,
% 0.61/1.12 ( ~ finite(X0) | range_of(f58(X0)) = X0 ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1547]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_35,plain,
% 0.61/1.12 ( one_to_one_function(f58(X0)) | ~ finite(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1079_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1543,plain,
% 0.61/1.12 ( one_to_one_function(f58(X0)) | ~ finite(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_35]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_33,plain,
% 0.61/1.12 ( function(converse(X0)) | ~ one_to_one_function(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1080_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1539,plain,
% 0.61/1.12 ( function(converse(X0)) | ~ one_to_one_function(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_33]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_31,plain,
% 0.61/1.12 ( little_set(powerset(X0)) | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1081_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1535,plain,
% 0.61/1.12 ( little_set(powerset(X0)) | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_31]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_29,plain,
% 0.61/1.12 ( little_set(sigma(X0)) | ~ little_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1082_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1531,plain,
% 0.61/1.12 ( little_set(sigma(X0)) | ~ little_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_29]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_27,plain,
% 0.61/1.12 ( little_set(f3(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1083_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1527,plain,
% 0.61/1.12 ( little_set(f3(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_27]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_25,plain,
% 0.61/1.12 ( little_set(f2(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1084_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1523,plain,
% 0.61/1.12 ( little_set(f2(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_25]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_23,plain,
% 0.61/1.12 ( single_valued_set(X0) | f21(X0) != f20(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1085_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1519,plain,
% 0.61/1.12 ( single_valued_set(X0) | f21(X0) != f20(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_23]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_21,plain,
% 0.61/1.12 ( little_set(f21(X0)) | single_valued_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1086_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1515,plain,
% 0.61/1.12 ( little_set(f21(X0)) | single_valued_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_21]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_19,plain,
% 0.61/1.12 ( little_set(f20(X0)) | single_valued_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1087_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1511,plain,
% 0.61/1.12 ( little_set(f20(X0)) | single_valued_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_19]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_17,plain,
% 0.61/1.12 ( little_set(f19(X0)) | single_valued_set(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1088_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1507,plain,
% 0.61/1.12 ( little_set(f19(X0)) | single_valued_set(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_17]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_15,plain,
% 0.61/1.12 ( function(X0) | ~ one_to_one_function(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1089_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1503,plain,
% 0.61/1.12 ( function(X0) | ~ one_to_one_function(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_15]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_13,plain,
% 0.61/1.12 ( single_valued_set(X0) | ~ function(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1090_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1499,plain,
% 0.61/1.12 ( single_valued_set(X0) | ~ function(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_13]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1500,plain,
% 0.61/1.12 ( ~ function(X0) | single_valued_set(X0) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1499]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_11,plain,
% 0.61/1.12 ( relation(X0) | ~ function(X0) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1091_1) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1495,plain,
% 0.61/1.12 ( relation(X0) | ~ function(X0) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_11]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1496,plain,
% 0.61/1.12 ( ~ function(X0) | relation(X0) ),
% 0.61/1.12 inference(rewriting,[status(thm)],[c_1495]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_10,plain,
% 0.61/1.12 ( ~ member(X0,empty_set) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1074_0) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1493,plain,
% 0.61/1.12 ( ~ member(X0,empty_set) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_10]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_5,plain,
% 0.61/1.12 ( little_set(non_ordered_pair(X0,X1)) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1056_0) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1487,plain,
% 0.61/1.12 ( little_set(non_ordered_pair(X0,X1)) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_5]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_2,plain,
% 0.61/1.12 ( member(empty_set,infinity) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1092_0) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1483,plain,
% 0.61/1.12 ( member(empty_set,infinity) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_2]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1,plain,
% 0.61/1.12 ( function(f25) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1093_0) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1481,plain,( function(f25) ),inference(copy,[status(esa)],[c_1]) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_0,plain,
% 0.61/1.12 ( little_set(infinity) ),
% 0.61/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_5d0a14.p', c_0_1094_0) ).
% 0.61/1.12
% 0.61/1.12 cnf(c_1479,plain,
% 0.61/1.12 ( little_set(infinity) ),
% 0.61/1.12 inference(copy,[status(esa)],[c_0]) ).
% 0.61/1.12
% 0.61/1.12
% 0.61/1.12
% 0.61/1.12 % ------ Statistics
% 0.61/1.12
% 0.61/1.12 % ------ General
% 0.61/1.12
% 0.61/1.12 % num_of_input_clauses: 636
% 0.61/1.12 % num_of_input_neg_conjectures: 0
% 0.61/1.12 % num_of_splits: 0
% 0.61/1.12 % num_of_split_atoms: 0
% 0.61/1.12 % num_of_sem_filtered_clauses: 0
% 0.61/1.12 % num_of_subtypes: 0
% 0.61/1.12 % monotx_restored_types: 0
% 0.61/1.12 % sat_num_of_epr_types: 0
% 0.61/1.12 % sat_num_of_non_cyclic_types: 0
% 0.61/1.12 % sat_guarded_non_collapsed_types: 0
% 0.61/1.12 % is_epr: 0
% 0.61/1.12 % is_horn: 0
% 0.61/1.12 % has_eq: 1
% 0.61/1.12 % num_pure_diseq_elim: 0
% 0.61/1.12 % simp_replaced_by: 0
% 0.61/1.12 % res_preprocessed: 0
% 0.61/1.12 % prep_upred: 0
% 0.61/1.12 % prep_unflattend: 0
% 0.61/1.12 % pred_elim_cands: 0
% 0.61/1.12 % pred_elim: 0
% 0.61/1.12 % pred_elim_cl: 0
% 0.61/1.12 % pred_elim_cycles: 0
% 0.61/1.12 % forced_gc_time: 0
% 0.61/1.12 % gc_basic_clause_elim: 0
% 0.61/1.12 % parsing_time: 0.032
% 0.61/1.12 % sem_filter_time: 0.
% 0.61/1.12 % pred_elim_time: 0.
% 0.61/1.12 % out_proof_time: 0.
% 0.61/1.12 % monotx_time: 0.
% 0.61/1.12 % subtype_inf_time: 0.
% 0.61/1.12 % unif_index_cands_time: 0.
% 0.61/1.12 % unif_index_add_time: 0.
% 0.61/1.12 % total_time: 0.366
% 0.61/1.12 % num_of_symbols: 135
% 0.61/1.12 % num_of_terms: 1671
% 0.61/1.12
% 0.61/1.12 % ------ Propositional Solver
% 0.61/1.12
% 0.61/1.12 % prop_solver_calls: 1
% 0.61/1.12 % prop_fast_solver_calls: 0
% 0.61/1.12 % prop_num_of_clauses: 495
% 0.61/1.12 % prop_preprocess_simplified: 2043
% 0.61/1.12 % prop_fo_subsumed: 0
% 0.61/1.12 % prop_solver_time: 0.
% 0.61/1.12 % prop_fast_solver_time: 0.
% 0.61/1.12 % prop_unsat_core_time: 0.
% 0.61/1.12
% 0.61/1.12 % ------ QBF
% 0.61/1.12
% 0.61/1.12 % qbf_q_res: 0
% 0.61/1.12 % qbf_num_tautologies: 0
% 0.61/1.12 % qbf_prep_cycles: 0
% 0.61/1.12
% 0.61/1.12 % ------ BMC1
% 0.61/1.12
% 0.61/1.12 % bmc1_current_bound: -1
% 0.61/1.12 % bmc1_last_solved_bound: -1
% 0.61/1.12 % bmc1_unsat_core_size: -1
% 0.61/1.12 % bmc1_unsat_core_parents_size: -1
% 0.61/1.12 % bmc1_merge_next_fun: 0
% 0.61/1.12 % bmc1_unsat_core_clauses_time: 0.
% 0.61/1.12
% 0.61/1.12 % ------ Instantiation
% 0.61/1.12
% 0.61/1.12 % inst_num_of_clauses: 636
% 0.61/1.12 % inst_num_in_passive: 0
% 0.61/1.12 % inst_num_in_active: 0
% 0.61/1.12 % inst_num_in_unprocessed: 636
% 0.61/1.12 % inst_num_of_loops: 0
% 0.61/1.12 % inst_num_of_learning_restarts: 0
% 0.61/1.12 % inst_num_moves_active_passive: 0
% 0.61/1.12 % inst_lit_activity: 0
% 0.61/1.12 % inst_lit_activity_moves: 0
% 0.61/1.12 % inst_num_tautologies: 0
% 0.61/1.12 % inst_num_prop_implied: 0
% 0.61/1.12 % inst_num_existing_simplified: 0
% 0.61/1.12 % inst_num_eq_res_simplified: 0
% 0.61/1.12 % inst_num_child_elim: 0
% 0.61/1.12 % inst_num_of_dismatching_blockings: 0
% 0.61/1.12 % inst_num_of_non_proper_insts: 0
% 0.61/1.12 % inst_num_of_duplicates: 0
% 0.61/1.12 % inst_inst_num_from_inst_to_res: 0
% 0.61/1.12 % inst_dismatching_checking_time: 0.
% 0.61/1.12
% 0.61/1.12 % ------ Resolution
% 0.61/1.12
% 0.61/1.12 % res_num_of_clauses: 739
% 0.61/1.12 % res_num_in_passive: 0
% 0.61/1.12 % res_num_in_active: 250
% 0.61/1.12 % res_num_of_loops: 1
% 0.61/1.12 % res_forward_subset_subsumed: 380
% 0.61/1.12 % res_backward_subset_subsumed: 0
% 0.61/1.12 % res_forward_subsumed: 0
% 0.61/1.12 % res_backward_subsumed: 0
% 0.61/1.12 % res_forward_subsumption_resolution: 0
% 0.61/1.12 % res_backward_subsumption_resolution: 0
% 0.61/1.12 % res_clause_to_clause_subsumption: 0
% 0.61/1.12 % res_orphan_elimination: 0
% 0.61/1.12 % res_tautology_del: 0
% 0.61/1.12 % res_num_eq_res_simplified: 0
% 0.61/1.12 % res_num_sel_changes: 0
% 0.61/1.12 % res_moves_from_active_to_pass: 0
% 0.61/1.12
% 0.61/1.12 % Status Unknown
% 0.61/1.12 % Last status :
% 0.61/1.12 % SZS status Unknown
%------------------------------------------------------------------------------