TSTP Solution File: NUM018-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM018-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n029.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 10:53:52 EDT 2022
% Result : Unknown 150.74s 150.97s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM018-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.14 % Command : iprover_modulo %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jul 5 06:36:57 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Running in mono-core mode
% 0.22/0.47 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.47 % Orientation found
% 0.22/0.47 % 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_26e0d3.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_055df7.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_10b87b | grep -v "SZS"
% 0.22/0.50
% 0.22/0.50 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.50
% 0.22/0.50 %
% 0.22/0.50 % ------ iProver source info
% 0.22/0.50
% 0.22/0.50 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.50 % git: non_committed_changes: true
% 0.22/0.50 % git: last_make_outside_of_git: true
% 0.22/0.50
% 0.22/0.50 %
% 0.22/0.50 % ------ Input Options
% 0.22/0.50
% 0.22/0.50 % --out_options all
% 0.22/0.50 % --tptp_safe_out true
% 0.22/0.50 % --problem_path ""
% 0.22/0.50 % --include_path ""
% 0.22/0.50 % --clausifier .//eprover
% 0.22/0.50 % --clausifier_options --tstp-format
% 0.22/0.50 % --stdin false
% 0.22/0.50 % --dbg_backtrace false
% 0.22/0.50 % --dbg_dump_prop_clauses false
% 0.22/0.50 % --dbg_dump_prop_clauses_file -
% 0.22/0.50 % --dbg_out_stat false
% 0.22/0.50
% 0.22/0.50 % ------ General Options
% 0.22/0.50
% 0.22/0.50 % --fof false
% 0.22/0.50 % --time_out_real 150.
% 0.22/0.50 % --time_out_prep_mult 0.2
% 0.22/0.50 % --time_out_virtual -1.
% 0.22/0.50 % --schedule none
% 0.22/0.50 % --ground_splitting input
% 0.22/0.50 % --splitting_nvd 16
% 0.22/0.50 % --non_eq_to_eq false
% 0.22/0.50 % --prep_gs_sim true
% 0.22/0.50 % --prep_unflatten false
% 0.22/0.50 % --prep_res_sim true
% 0.22/0.50 % --prep_upred true
% 0.22/0.50 % --res_sim_input true
% 0.22/0.50 % --clause_weak_htbl true
% 0.22/0.50 % --gc_record_bc_elim false
% 0.22/0.50 % --symbol_type_check false
% 0.22/0.50 % --clausify_out false
% 0.22/0.50 % --large_theory_mode false
% 0.22/0.50 % --prep_sem_filter none
% 0.22/0.50 % --prep_sem_filter_out false
% 0.22/0.50 % --preprocessed_out false
% 0.22/0.50 % --sub_typing false
% 0.22/0.50 % --brand_transform false
% 0.22/0.50 % --pure_diseq_elim true
% 0.22/0.50 % --min_unsat_core false
% 0.22/0.50 % --pred_elim true
% 0.22/0.50 % --add_important_lit false
% 0.22/0.50 % --soft_assumptions false
% 0.22/0.50 % --reset_solvers false
% 0.22/0.50 % --bc_imp_inh []
% 0.22/0.50 % --conj_cone_tolerance 1.5
% 0.22/0.50 % --prolific_symb_bound 500
% 0.22/0.50 % --lt_threshold 2000
% 0.22/0.50
% 0.22/0.50 % ------ SAT Options
% 0.22/0.50
% 0.22/0.50 % --sat_mode false
% 0.22/0.50 % --sat_fm_restart_options ""
% 0.22/0.50 % --sat_gr_def false
% 0.22/0.50 % --sat_epr_types true
% 0.22/0.50 % --sat_non_cyclic_types false
% 0.22/0.50 % --sat_finite_models false
% 0.22/0.50 % --sat_fm_lemmas false
% 0.22/0.50 % --sat_fm_prep false
% 0.22/0.50 % --sat_fm_uc_incr true
% 0.22/0.50 % --sat_out_model small
% 0.22/0.50 % --sat_out_clauses false
% 0.22/0.50
% 0.22/0.50 % ------ QBF Options
% 0.22/0.50
% 0.22/0.50 % --qbf_mode false
% 0.22/0.50 % --qbf_elim_univ true
% 0.22/0.50 % --qbf_sk_in true
% 0.22/0.50 % --qbf_pred_elim true
% 0.22/0.50 % --qbf_split 32
% 0.22/0.50
% 0.22/0.50 % ------ BMC1 Options
% 0.22/0.50
% 0.22/0.50 % --bmc1_incremental false
% 0.22/0.50 % --bmc1_axioms reachable_all
% 0.22/0.50 % --bmc1_min_bound 0
% 0.22/0.50 % --bmc1_max_bound -1
% 0.22/0.50 % --bmc1_max_bound_default -1
% 0.22/0.50 % --bmc1_symbol_reachability true
% 0.22/0.50 % --bmc1_property_lemmas false
% 0.22/0.50 % --bmc1_k_induction false
% 0.22/0.50 % --bmc1_non_equiv_states false
% 0.22/0.50 % --bmc1_deadlock false
% 0.22/0.50 % --bmc1_ucm false
% 0.22/0.50 % --bmc1_add_unsat_core none
% 0.22/0.50 % --bmc1_unsat_core_children false
% 0.22/0.50 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.50 % --bmc1_out_stat full
% 0.22/0.50 % --bmc1_ground_init false
% 0.22/0.50 % --bmc1_pre_inst_next_state false
% 0.22/0.50 % --bmc1_pre_inst_state false
% 0.22/0.50 % --bmc1_pre_inst_reach_state false
% 0.22/0.50 % --bmc1_out_unsat_core false
% 0.22/0.50 % --bmc1_aig_witness_out false
% 0.22/0.50 % --bmc1_verbose false
% 0.22/0.50 % --bmc1_dump_clauses_tptp false
% 0.50/0.82 % --bmc1_dump_unsat_core_tptp false
% 0.50/0.82 % --bmc1_dump_file -
% 0.50/0.82 % --bmc1_ucm_expand_uc_limit 128
% 0.50/0.82 % --bmc1_ucm_n_expand_iterations 6
% 0.50/0.82 % --bmc1_ucm_extend_mode 1
% 0.50/0.82 % --bmc1_ucm_init_mode 2
% 0.50/0.82 % --bmc1_ucm_cone_mode none
% 0.50/0.82 % --bmc1_ucm_reduced_relation_type 0
% 0.50/0.82 % --bmc1_ucm_relax_model 4
% 0.50/0.82 % --bmc1_ucm_full_tr_after_sat true
% 0.50/0.82 % --bmc1_ucm_expand_neg_assumptions false
% 0.50/0.82 % --bmc1_ucm_layered_model none
% 0.50/0.82 % --bmc1_ucm_max_lemma_size 10
% 0.50/0.82
% 0.50/0.82 % ------ AIG Options
% 0.50/0.82
% 0.50/0.82 % --aig_mode false
% 0.50/0.82
% 0.50/0.82 % ------ Instantiation Options
% 0.50/0.82
% 0.50/0.82 % --instantiation_flag true
% 0.50/0.82 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.50/0.82 % --inst_solver_per_active 750
% 0.50/0.82 % --inst_solver_calls_frac 0.5
% 0.50/0.82 % --inst_passive_queue_type priority_queues
% 0.50/0.82 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.50/0.82 % --inst_passive_queues_freq [25;2]
% 0.50/0.82 % --inst_dismatching true
% 0.50/0.82 % --inst_eager_unprocessed_to_passive true
% 0.50/0.82 % --inst_prop_sim_given true
% 0.50/0.82 % --inst_prop_sim_new false
% 0.50/0.82 % --inst_orphan_elimination true
% 0.50/0.82 % --inst_learning_loop_flag true
% 0.50/0.82 % --inst_learning_start 3000
% 0.50/0.82 % --inst_learning_factor 2
% 0.50/0.82 % --inst_start_prop_sim_after_learn 3
% 0.50/0.82 % --inst_sel_renew solver
% 0.50/0.82 % --inst_lit_activity_flag true
% 0.50/0.82 % --inst_out_proof true
% 0.50/0.82
% 0.50/0.82 % ------ Resolution Options
% 0.50/0.82
% 0.50/0.82 % --resolution_flag true
% 0.50/0.82 % --res_lit_sel kbo_max
% 0.50/0.82 % --res_to_prop_solver none
% 0.50/0.82 % --res_prop_simpl_new false
% 0.50/0.82 % --res_prop_simpl_given false
% 0.50/0.82 % --res_passive_queue_type priority_queues
% 0.50/0.82 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.50/0.82 % --res_passive_queues_freq [15;5]
% 0.50/0.82 % --res_forward_subs full
% 0.50/0.82 % --res_backward_subs full
% 0.50/0.82 % --res_forward_subs_resolution true
% 0.50/0.82 % --res_backward_subs_resolution true
% 0.50/0.82 % --res_orphan_elimination false
% 0.50/0.82 % --res_time_limit 1000.
% 0.50/0.82 % --res_out_proof true
% 0.50/0.82 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_26e0d3.s
% 0.50/0.82 % --modulo true
% 0.50/0.82
% 0.50/0.82 % ------ Combination Options
% 0.50/0.82
% 0.50/0.82 % --comb_res_mult 1000
% 0.50/0.82 % --comb_inst_mult 300
% 0.50/0.82 % ------
% 0.50/0.82
% 0.50/0.82 % ------ Parsing...% successful
% 0.50/0.82
% 0.50/0.82 % ------ 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 %
% 0.50/0.82
% 0.50/0.82 % ------ Proving...
% 0.50/0.82 % ------ Problem Properties
% 0.50/0.82
% 0.50/0.82 %
% 0.50/0.82 % EPR false
% 0.50/0.82 % Horn false
% 0.50/0.82 % Has equality true
% 0.50/0.82
% 0.50/0.82 % % ------ Input Options Time Limit: Unbounded
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82 Compiling...
% 0.50/0.82 Loading plugin: done.
% 0.50/0.82 Compiling...
% 0.50/0.82 Loading plugin: done.
% 0.50/0.82 % % ------ Current options:
% 0.50/0.82
% 0.50/0.82 % ------ Input Options
% 0.50/0.82
% 0.50/0.82 % --out_options all
% 0.50/0.82 % --tptp_safe_out true
% 0.50/0.82 % --problem_path ""
% 0.50/0.82 % --include_path ""
% 0.50/0.82 % --clausifier .//eprover
% 0.50/0.82 % --clausifier_options --tstp-format
% 0.50/0.82 % --stdin false
% 0.50/0.82 % --dbg_backtrace false
% 0.50/0.82 % --dbg_dump_prop_clauses false
% 0.50/0.82 % --dbg_dump_prop_clauses_file -
% 0.50/0.82 % --dbg_out_stat false
% 0.50/0.82
% 0.50/0.82 % ------ General Options
% 0.50/0.82
% 0.50/0.82 % --fof false
% 0.50/0.82 % --time_out_real 150.
% 0.50/0.82 % --time_out_prep_mult 0.2
% 0.50/0.82 % --time_out_virtual -1.
% 0.50/0.82 % --schedule none
% 0.50/0.82 % --ground_splitting input
% 0.50/0.82 % --splitting_nvd 16
% 0.50/0.82 % --non_eq_to_eq false
% 0.50/0.82 % --prep_gs_sim true
% 0.50/0.82 % --prep_unflatten false
% 0.50/0.82 % --prep_res_sim true
% 0.50/0.82 % --prep_upred true
% 0.50/0.82 % --res_sim_input true
% 0.50/0.82 % --clause_weak_htbl true
% 0.50/0.82 % --gc_record_bc_elim false
% 0.50/0.82 % --symbol_type_check false
% 0.50/0.82 % --clausify_out false
% 0.50/0.82 % --large_theory_mode false
% 0.50/0.82 % --prep_sem_filter none
% 0.50/0.82 % --prep_sem_filter_out false
% 0.50/0.82 % --preprocessed_out false
% 0.50/0.82 % --sub_typing false
% 0.50/0.82 % --brand_transform false
% 0.50/0.82 % --pure_diseq_elim true
% 0.50/0.82 % --min_unsat_core false
% 0.50/0.82 % --pred_elim true
% 0.50/0.82 % --add_important_lit false
% 0.50/0.82 % --soft_assumptions false
% 0.50/0.82 % --reset_solvers false
% 0.50/0.82 % --bc_imp_inh []
% 0.50/0.82 % --conj_cone_tolerance 1.5
% 0.50/0.82 % --prolific_symb_bound 500
% 0.50/0.82 % --lt_threshold 2000
% 0.50/0.82
% 0.50/0.82 % ------ SAT Options
% 0.50/0.82
% 0.50/0.82 % --sat_mode false
% 0.50/0.82 % --sat_fm_restart_options ""
% 0.50/0.82 % --sat_gr_def false
% 0.50/0.82 % --sat_epr_types true
% 0.50/0.82 % --sat_non_cyclic_types false
% 0.50/0.82 % --sat_finite_models false
% 0.50/0.82 % --sat_fm_lemmas false
% 0.50/0.82 % --sat_fm_prep false
% 0.50/0.82 % --sat_fm_uc_incr true
% 0.50/0.82 % --sat_out_model small
% 0.50/0.82 % --sat_out_clauses false
% 0.50/0.82
% 0.50/0.82 % ------ QBF Options
% 0.50/0.82
% 0.50/0.82 % --qbf_mode false
% 0.50/0.82 % --qbf_elim_univ true
% 0.50/0.82 % --qbf_sk_in true
% 0.50/0.82 % --qbf_pred_elim true
% 0.50/0.82 % --qbf_split 32
% 0.50/0.82
% 0.50/0.82 % ------ BMC1 Options
% 0.50/0.82
% 0.50/0.82 % --bmc1_incremental false
% 0.50/0.82 % --bmc1_axioms reachable_all
% 0.50/0.82 % --bmc1_min_bound 0
% 0.50/0.82 % --bmc1_max_bound -1
% 0.50/0.82 % --bmc1_max_bound_default -1
% 0.50/0.82 % --bmc1_symbol_reachability true
% 0.50/0.82 % --bmc1_property_lemmas false
% 0.50/0.82 % --bmc1_k_induction false
% 0.50/0.82 % --bmc1_non_equiv_states false
% 0.50/0.82 % --bmc1_deadlock false
% 0.50/0.82 % --bmc1_ucm false
% 0.50/0.82 % --bmc1_add_unsat_core none
% 0.50/0.82 % --bmc1_unsat_core_children false
% 0.50/0.82 % --bmc1_unsat_core_extrapolate_axioms false
% 0.50/0.82 % --bmc1_out_stat full
% 0.50/0.82 % --bmc1_ground_init false
% 0.50/0.82 % --bmc1_pre_inst_next_state false
% 0.50/0.82 % --bmc1_pre_inst_state false
% 0.50/0.82 % --bmc1_pre_inst_reach_state false
% 0.50/0.82 % --bmc1_out_unsat_core false
% 0.50/0.82 % --bmc1_aig_witness_out false
% 0.50/0.82 % --bmc1_verbose false
% 0.50/0.82 % --bmc1_dump_clauses_tptp false
% 0.50/0.82 % --bmc1_dump_unsat_core_tptp false
% 0.50/0.82 % --bmc1_dump_file -
% 0.50/0.82 % --bmc1_ucm_expand_uc_limit 128
% 0.50/0.82 % --bmc1_ucm_n_expand_iterations 6
% 0.50/0.82 % --bmc1_ucm_extend_mode 1
% 0.50/0.82 % --bmc1_ucm_init_mode 2
% 0.50/0.82 % --bmc1_ucm_cone_mode none
% 0.50/0.82 % --bmc1_ucm_reduced_relation_type 0
% 0.50/0.82 % --bmc1_ucm_relax_model 4
% 0.50/0.82 % --bmc1_ucm_full_tr_after_sat true
% 0.50/0.82 % --bmc1_ucm_expand_neg_assumptions false
% 0.50/0.82 % --bmc1_ucm_layered_model none
% 0.50/0.82 % --bmc1_ucm_max_lemma_size 10
% 0.50/0.82
% 0.50/0.82 % ------ AIG Options
% 0.50/0.82
% 0.50/0.82 % --aig_mode false
% 0.50/0.82
% 0.50/0.82 % ------ Instantiation Options
% 0.50/0.82
% 0.50/0.82 % --instantiation_flag true
% 0.50/0.82 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.50/0.82 % --inst_solver_per_active 750
% 0.50/0.82 % --inst_solver_calls_frac 0.5
% 0.50/0.82 % --inst_passive_queue_type priority_queues
% 0.50/0.82 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.50/0.82 % --inst_passive_queues_freq [25;2]
% 0.50/0.82 % --inst_dismatching true
% 0.50/0.82 % --inst_eager_unprocessed_to_passive true
% 0.50/0.82 % --inst_prop_sim_given true
% 0.50/0.82 % --inst_prop_sim_new false
% 0.50/0.82 % --inst_orphan_elimination true
% 0.50/0.82 % --inst_learning_loop_flag true
% 0.50/0.82 % --inst_learning_start 3000
% 0.50/0.82 % --inst_learning_factor 2
% 0.50/0.82 % --inst_start_prop_sim_after_learn 3
% 0.50/0.82 % --inst_sel_renew solver
% 0.50/0.82 % --inst_lit_activity_flag true
% 0.50/0.82 % --inst_out_proof true
% 0.50/0.82
% 0.50/0.82 % ------ Resolution Options
% 0.50/0.82
% 0.50/0.82 % --resolution_flag true
% 0.50/0.82 % --res_lit_sel kbo_max
% 0.50/0.82 % --res_to_prop_solver none
% 0.50/0.82 % --res_prop_simpl_new false
% 0.50/0.82 % --res_prop_simpl_given false
% 0.50/0.82 % --res_passive_queue_type priority_queues
% 0.50/0.82 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.50/0.82 % --res_passive_queues_freq [15;5]
% 0.50/0.82 % --res_forward_subs full
% 0.50/0.82 % --res_backward_subs full
% 0.50/0.82 % --res_forward_subs_resolution true
% 0.50/0.82 % --res_backward_subs_resolution true
% 0.50/0.82 % --res_orphan_elimination false
% 0.50/0.82 % --res_time_limit 1000.
% 0.50/0.82 % --res_out_proof true
% 0.50/0.82 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_26e0d3.s
% 0.50/0.82 % --modulo true
% 0.50/0.82
% 0.50/0.82 % ------ Combination Options
% 0.50/0.82
% 0.50/0.82 % --comb_res_mult 1000
% 0.50/0.82 % --comb_inst_mult 300
% 0.50/0.82 % ------
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82 % ------ Proving...
% 0.50/0.82 % warning: shown sat in sat incomplete mode
% 0.50/0.82 %
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82 cnf(c_594,plain,
% 0.50/0.82 ( ~ relation(X0) | ~ single_valued_set(X0) | function(X0) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1025_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2675,plain,
% 0.50/0.82 ( ~ relation(X0) | ~ single_valued_set(X0) | function(X0) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_594]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2676,plain,
% 0.50/0.82 ( ~ single_valued_set(X0) | function(X0) | ~ relation(X0) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2675]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_558,plain,
% 0.50/0.82 ( ~ little_set(X0) | X0 = empty_set | member(f26(X0),X0) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1008_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2603,plain,
% 0.50/0.82 ( ~ little_set(X0) | X0 = empty_set | member(f26(X0),X0) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_558]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2604,plain,
% 0.50/0.82 ( member(f26(X0),X0) | ~ little_set(X0) | X0 = empty_set ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2603]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_555,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,times) | little_set(f54(X0)) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1007_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2597,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,times) | little_set(f54(X0)) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_555]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2598,plain,
% 0.50/0.82 ( member(X0,times) | little_set(f54(X0)) | ~ little_set(X0) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2597]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_552,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,plus) | little_set(f49(X0)) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1006_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2591,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,plus) | little_set(f49(X0)) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_552]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2592,plain,
% 0.50/0.82 ( member(X0,plus) | little_set(f49(X0)) | ~ little_set(X0) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2591]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_549,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,natural_numbers) | little_set(f44(X0)) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1005_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2585,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,natural_numbers) | little_set(f44(X0)) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_549]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2586,plain,
% 0.50/0.82 ( member(X0,natural_numbers) | little_set(f44(X0)) | ~ little_set(X0) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2585]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_538,plain,
% 0.50/0.82 ( ~ relation(X0) | ~ member(X1,X0) | ordered_pair_predicate(X1) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1000_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2563,plain,
% 0.50/0.82 ( ~ relation(X0) | ~ member(X1,X0) | ordered_pair_predicate(X1) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_538]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2564,plain,
% 0.50/0.82 ( ~ member(X0,X1) | ordered_pair_predicate(X0) | ~ relation(X1) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2563]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_514,plain,
% 0.50/0.82 ( ~ little_set(X0)
% 0.50/0.82 | ~ ordered_pair_predicate(X0)
% 0.50/0.82 | first(X0) != second(X0)
% 0.50/0.82 | member(X0,identity_relation) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_990_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2515,plain,
% 0.50/0.82 ( ~ little_set(X0)
% 0.50/0.82 | ~ ordered_pair_predicate(X0)
% 0.50/0.82 | first(X0) != second(X0)
% 0.50/0.82 | member(X0,identity_relation) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_514]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2516,plain,
% 0.50/0.82 ( member(X0,identity_relation)
% 0.50/0.82 | ~ little_set(X0)
% 0.50/0.82 | ~ ordered_pair_predicate(X0)
% 0.50/0.82 | first(X0) != second(X0) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2515]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_511,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,complement(X1)) | member(X0,X1) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_989_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2509,plain,
% 0.50/0.82 ( ~ little_set(X0) | member(X0,complement(X1)) | member(X0,X1) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_511]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2510,plain,
% 0.50/0.82 ( member(X0,complement(X1)) | member(X0,X1) | ~ little_set(X0) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2509]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_510,plain,
% 0.50/0.82 ( ordered_pair_predicate(X0)
% 0.50/0.82 | X0 != ordered_pair(X1,X2)
% 0.50/0.82 | ~ little_set(X2)
% 0.50/0.82 | ~ little_set(X1) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_988_3) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2507,plain,
% 0.50/0.82 ( ordered_pair_predicate(X0)
% 0.50/0.82 | X0 != ordered_pair(X1,X2)
% 0.50/0.82 | ~ little_set(X2)
% 0.50/0.82 | ~ little_set(X1) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_510]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2508,plain,
% 0.50/0.82 ( ~ little_set(X0)
% 0.50/0.82 | ~ little_set(X1)
% 0.50/0.82 | ordered_pair_predicate(X2)
% 0.50/0.82 | X2 != ordered_pair(X1,X0) ),
% 0.50/0.82 inference(rewriting,[status(thm)],[c_2507]) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_504,plain,
% 0.50/0.82 ( ~ little_set(X0) | ~ function(X1) | little_set(image(X0,X1)) ),
% 0.50/0.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_987_0) ).
% 0.50/0.82
% 0.50/0.82 cnf(c_2495,plain,
% 0.50/0.82 ( ~ little_set(X0) | ~ function(X1) | little_set(image(X0,X1)) ),
% 0.50/0.82 inference(copy,[status(esa)],[c_504]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2496,plain,
% 0.50/0.83 ( little_set(image(X0,X1)) | ~ little_set(X0) | ~ function(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2495]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_491,plain,
% 0.50/0.83 ( ~ little_set(X0) | ~ subset(X0,X1) | member(X0,powerset(X1)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_981_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2469,plain,
% 0.50/0.83 ( ~ little_set(X0) | ~ subset(X0,X1) | member(X0,powerset(X1)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_491]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2470,plain,
% 0.50/0.83 ( member(X0,powerset(X1)) | ~ little_set(X0) | ~ subset(X0,X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2469]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_488,plain,
% 0.50/0.83 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X2,X1)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_980_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2463,plain,
% 0.50/0.83 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X2,X1)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_488]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2464,plain,
% 0.50/0.83 ( member(X0,non_ordered_pair(X1,X2)) | ~ little_set(X0) | X0 != X2 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2463]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_485,plain,
% 0.50/0.83 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X1,X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_979_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2457,plain,
% 0.50/0.83 ( ~ little_set(X0) | X0 != X1 | member(X0,non_ordered_pair(X1,X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_485]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2458,plain,
% 0.50/0.83 ( member(X0,non_ordered_pair(X1,X2)) | ~ little_set(X0) | X0 != X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2457]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_460,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | X0 = successor(empty_set)
% 0.50/0.83 | member(f56(X0),natural_numbers) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_968_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2407,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | X0 = successor(empty_set)
% 0.50/0.83 | member(f56(X0),natural_numbers) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_460]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2408,plain,
% 0.50/0.83 ( member(f56(X0),natural_numbers)
% 0.50/0.83 | ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = successor(empty_set)
% 0.50/0.83 | X0 = empty_set ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2407]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_455,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | X0 = successor(empty_set)
% 0.50/0.83 | member(f55(X0),natural_numbers) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_967_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2397,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | X0 = successor(empty_set)
% 0.50/0.83 | member(f55(X0),natural_numbers) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_455]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2398,plain,
% 0.50/0.83 ( member(f55(X0),natural_numbers)
% 0.50/0.83 | ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = successor(empty_set)
% 0.50/0.83 | X0 = empty_set ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2397]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_452,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | member(ordered_pair(X0,f26(X0)),f25) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_966_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2391,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | member(ordered_pair(X0,f26(X0)),f25) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_452]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2392,plain,
% 0.50/0.83 ( member(ordered_pair(X0,f26(X0)),f25)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | X0 = empty_set ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2391]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_449,plain,
% 0.50/0.83 ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_965_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2385,plain,
% 0.50/0.83 ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_449]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2386,plain,
% 0.50/0.83 ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2385]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_416,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X1)
% 0.50/0.83 | ~ member(X1,X2)
% 0.50/0.83 | X0 != second(X1)
% 0.50/0.83 | member(X0,range_of(X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_950_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2319,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X1)
% 0.50/0.83 | ~ member(X1,X2)
% 0.50/0.83 | X0 != second(X1)
% 0.50/0.83 | member(X0,range_of(X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_416]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2320,plain,
% 0.50/0.83 ( member(X0,range_of(X1))
% 0.50/0.83 | ~ member(X2,X1)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X2)
% 0.50/0.83 | X0 != second(X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2319]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_413,plain,
% 0.50/0.83 ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sigma(X1)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_949_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2313,plain,
% 0.50/0.83 ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sigma(X1)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_413]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2314,plain,
% 0.50/0.83 ( member(X0,sigma(X1)) | ~ member(X2,X1) | ~ member(X0,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2313]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_408,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X1)
% 0.50/0.83 | ~ member(X1,X2)
% 0.50/0.83 | X0 != first(X1)
% 0.50/0.83 | member(X0,domain_of(X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_948_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2303,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X1)
% 0.50/0.83 | ~ member(X1,X2)
% 0.50/0.83 | X0 != first(X1)
% 0.50/0.83 | member(X0,domain_of(X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_408]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2304,plain,
% 0.50/0.83 ( member(X0,domain_of(X1))
% 0.50/0.83 | ~ member(X2,X1)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X2)
% 0.50/0.83 | X0 != first(X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2303]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_400,plain,
% 0.50/0.83 ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_945_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2287,plain,
% 0.50/0.83 ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_400]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2288,plain,
% 0.50/0.83 ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X1,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2287]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_396,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(first(X0),second(X0))
% 0.50/0.83 | member(X0,estin) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_944_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2279,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(first(X0),second(X0))
% 0.50/0.83 | member(X0,estin) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_396]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2280,plain,
% 0.50/0.83 ( ~ member(first(X0),second(X0))
% 0.50/0.83 | member(X0,estin)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2279]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_367,plain,
% 0.50/0.83 ( member(X0,second(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | X1 != ordered_pair(X3,X2)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_930_4) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2221,plain,
% 0.50/0.83 ( member(X0,second(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | X1 != ordered_pair(X3,X2)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_367]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2222,plain,
% 0.50/0.83 ( member(X0,second(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X1 != ordered_pair(X3,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2221]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_363,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X2 != ordered_pair(X0,X1)
% 0.50/0.83 | ~ member(X3,X1)
% 0.50/0.83 | member(X3,second(X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_930_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2213,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X2 != ordered_pair(X0,X1)
% 0.50/0.83 | ~ member(X3,X1)
% 0.50/0.83 | member(X3,second(X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_363]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2214,plain,
% 0.50/0.83 ( member(X0,second(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | X1 != ordered_pair(X3,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2213]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_362,plain,
% 0.50/0.83 ( member(X0,first(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | X1 != ordered_pair(X2,X3)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_929_4) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2211,plain,
% 0.50/0.83 ( member(X0,first(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | X1 != ordered_pair(X2,X3)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_362]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2212,plain,
% 0.50/0.83 ( member(X0,first(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | X1 != ordered_pair(X2,X3) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2211]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_358,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X2 != ordered_pair(X0,X1)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | member(X3,first(X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_929_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2203,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X2 != ordered_pair(X0,X1)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | member(X3,first(X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_358]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2204,plain,
% 0.50/0.83 ( member(X0,first(X1))
% 0.50/0.83 | ~ member(X0,X2)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X1 != ordered_pair(X2,X3) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2203]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_355,plain,
% 0.50/0.83 ( ~ member(X0,prime_numbers)
% 0.50/0.83 | ~ member(successor(successor(X0)),prime_numbers)
% 0.50/0.83 | member(X0,twin_prime_numbers) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_928_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2197,plain,
% 0.50/0.83 ( ~ member(X0,prime_numbers)
% 0.50/0.83 | ~ member(successor(successor(X0)),prime_numbers)
% 0.50/0.83 | member(X0,twin_prime_numbers) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_355]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2198,plain,
% 0.50/0.83 ( ~ member(successor(successor(X0)),prime_numbers)
% 0.50/0.83 | ~ member(X0,prime_numbers)
% 0.50/0.83 | member(X0,twin_prime_numbers) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2197]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_354,plain,
% 0.50/0.83 ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_927_2) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2195,plain,
% 0.50/0.83 ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_354]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2196,plain,
% 0.50/0.83 ( member(f1(X0,X1),X1) | member(f1(X0,X1),X0) | X0 = X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2195]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_345,plain,
% 0.50/0.83 ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_924_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2177,plain,
% 0.50/0.83 ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_345]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2178,plain,
% 0.50/0.83 ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2177]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_326,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ member(empty_set,X1)
% 0.50/0.83 | member(f43(X0,X1),X1)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_916_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2139,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ member(empty_set,X1)
% 0.50/0.83 | member(f43(X0,X1),X1)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_326]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2140,plain,
% 0.50/0.83 ( ~ member(empty_set,X0)
% 0.50/0.83 | member(f43(X1,X0),X0)
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | member(X1,X0)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2139]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_322,plain,
% 0.50/0.83 ( ~ function(X0)
% 0.50/0.83 | domain_of(X0) != X1
% 0.50/0.83 | ~ subset(range_of(X0),X2)
% 0.50/0.83 | maps(X0,X1,X2) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_915_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2131,plain,
% 0.50/0.83 ( ~ function(X0)
% 0.50/0.83 | domain_of(X0) != X1
% 0.50/0.83 | ~ subset(range_of(X0),X2)
% 0.50/0.83 | maps(X0,X1,X2) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_322]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2132,plain,
% 0.50/0.83 ( maps(X0,X1,X2)
% 0.50/0.83 | ~ subset(range_of(X0),X2)
% 0.50/0.83 | ~ function(X0)
% 0.50/0.83 | domain_of(X0) != X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2131]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_306,plain,
% 0.50/0.83 ( ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(X0,X1)
% 0.50/0.83 | first(X0) != X2
% 0.50/0.83 | ~ member(X3,second(X0))
% 0.50/0.83 | member(X3,apply(X1,X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_910_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2099,plain,
% 0.50/0.83 ( ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(X0,X1)
% 0.50/0.83 | first(X0) != X2
% 0.50/0.83 | ~ member(X3,second(X0))
% 0.50/0.83 | member(X3,apply(X1,X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_306]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2100,plain,
% 0.50/0.83 ( member(X0,apply(X1,X2))
% 0.50/0.83 | ~ member(X0,second(X3))
% 0.50/0.83 | ~ member(X3,X1)
% 0.50/0.83 | ~ ordered_pair_predicate(X3)
% 0.50/0.83 | first(X3) != X2 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2099]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_300,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X1)
% 0.50/0.83 | ~ member(X1,X2)
% 0.50/0.83 | ~ member(first(X1),X3)
% 0.50/0.83 | second(X1) != X0
% 0.50/0.83 | member(X0,image(X3,X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_909_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2087,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X1)
% 0.50/0.83 | ~ member(X1,X2)
% 0.50/0.83 | ~ member(first(X1),X3)
% 0.50/0.83 | second(X1) != X0
% 0.50/0.83 | member(X0,image(X3,X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_300]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2088,plain,
% 0.50/0.83 ( ~ member(first(X0),X1)
% 0.50/0.83 | member(X2,image(X1,X3))
% 0.50/0.83 | ~ member(X0,X3)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ ordered_pair_predicate(X0)
% 0.50/0.83 | second(X0) != X2 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2087]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_295,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(first(X0),X1)
% 0.50/0.83 | ~ member(second(X0),X2)
% 0.50/0.83 | member(X0,cross_product(X1,X2)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_908_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2077,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(first(X0),X1)
% 0.50/0.83 | ~ member(second(X0),X2)
% 0.50/0.83 | member(X0,cross_product(X1,X2)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_295]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2078,plain,
% 0.50/0.83 ( ~ member(first(X0),X1)
% 0.50/0.83 | ~ member(second(X0),X2)
% 0.50/0.83 | member(X0,cross_product(X1,X2))
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2077]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_290,plain,
% 0.50/0.83 ( ~ member(X0,times)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | member(f53(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_907_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2067,plain,
% 0.50/0.83 ( ~ member(X0,times)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | member(f53(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_290]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2068,plain,
% 0.50/0.83 ( member(f53(X0,X1),natural_numbers)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | ~ member(X0,times)
% 0.50/0.83 | member(X0,X1)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2067]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_285,plain,
% 0.50/0.83 ( ~ member(X0,times)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | member(f52(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_906_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2057,plain,
% 0.50/0.83 ( ~ member(X0,times)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | member(f52(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_285]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2058,plain,
% 0.50/0.83 ( member(f52(X0,X1),natural_numbers)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | ~ member(X0,times)
% 0.50/0.83 | member(X0,X1)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2057]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_280,plain,
% 0.50/0.83 ( ~ member(X0,times)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | member(f51(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_905_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2047,plain,
% 0.50/0.83 ( ~ member(X0,times)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | member(f51(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_280]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2048,plain,
% 0.50/0.83 ( member(f51(X0,X1),natural_numbers)
% 0.50/0.83 | member(f50(X0,X1),natural_numbers)
% 0.50/0.83 | ~ member(X0,times)
% 0.50/0.83 | member(X0,X1)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2047]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_275,plain,
% 0.50/0.83 ( ~ member(X0,plus)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | member(f48(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_904_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2037,plain,
% 0.50/0.83 ( ~ member(X0,plus)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | member(f48(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_275]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2038,plain,
% 0.50/0.83 ( member(f48(X0,X1),natural_numbers)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | ~ member(X0,plus)
% 0.50/0.83 | member(X0,X1)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2037]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_270,plain,
% 0.50/0.83 ( ~ member(X0,plus)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | member(f47(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_903_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2027,plain,
% 0.50/0.83 ( ~ member(X0,plus)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | member(f47(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_270]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2028,plain,
% 0.50/0.83 ( member(f47(X0,X1),natural_numbers)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | ~ member(X0,plus)
% 0.50/0.83 | member(X0,X1)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2027]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_265,plain,
% 0.50/0.83 ( ~ member(X0,plus)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | member(f46(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_902_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2017,plain,
% 0.50/0.83 ( ~ member(X0,plus)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | member(f46(X0,X1),natural_numbers)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_265]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2018,plain,
% 0.50/0.83 ( member(f46(X0,X1),natural_numbers)
% 0.50/0.83 | member(f45(X0,X1),natural_numbers)
% 0.50/0.83 | ~ member(X0,plus)
% 0.50/0.83 | member(X0,X1)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2017]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_260,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | X0 = successor(empty_set) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_901_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2007,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = empty_set
% 0.50/0.83 | X0 = successor(empty_set) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_260]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_2008,plain,
% 0.50/0.83 ( ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 0.50/0.83 | ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,prime_numbers)
% 0.50/0.83 | X0 = successor(empty_set)
% 0.50/0.83 | X0 = empty_set ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_2007]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_255,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ maps(X1,X0,X2)
% 0.50/0.83 | range_of(X1) != X2
% 0.50/0.83 | ~ one_to_one_function(X1)
% 0.50/0.83 | finite(X2) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_900_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1997,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ maps(X1,X0,X2)
% 0.50/0.83 | range_of(X1) != X2
% 0.50/0.83 | ~ one_to_one_function(X1)
% 0.50/0.83 | finite(X2) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_255]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1998,plain,
% 0.50/0.83 ( ~ maps(X0,X1,X2)
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | finite(X2)
% 0.50/0.83 | ~ one_to_one_function(X0)
% 0.50/0.83 | range_of(X0) != X2 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1997]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_254,plain,
% 0.50/0.83 ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_899_2) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1995,plain,
% 0.50/0.83 ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_254]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1996,plain,
% 0.50/0.83 ( ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) | X0 = X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1995]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_240,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.50/0.83 | member(X0,converse(X1)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_896_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1967,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0)
% 0.50/0.83 | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.50/0.83 | member(X0,converse(X1)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_240]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1968,plain,
% 0.50/0.83 ( ~ member(ordered_pair(second(X0),first(X0)),X1)
% 0.50/0.83 | member(X0,converse(X1))
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ ordered_pair_predicate(X0) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1967]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_239,plain,
% 0.50/0.83 ( member(X0,even_numbers)
% 0.50/0.83 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | ~ member(X0,natural_numbers) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_895_3) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1965,plain,
% 0.50/0.83 ( member(X0,even_numbers)
% 0.50/0.83 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | ~ member(X0,natural_numbers) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_239]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1966,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | member(X1,even_numbers)
% 0.50/0.83 | apply_to_two_arguments(plus,X0,X0) != X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1965]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_235,plain,
% 0.50/0.83 ( closed(X0,X1)
% 0.50/0.83 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_894_3) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1957,plain,
% 0.50/0.83 ( closed(X0,X1)
% 0.50/0.83 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_235]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1958,plain,
% 0.50/0.83 ( ~ maps(X0,cross_product(X1,X1),X1)
% 0.50/0.83 | closed(X1,X0)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1957]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_232,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.50/0.83 | closed(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_894_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1951,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ maps(X1,cross_product(X0,X0),X0)
% 0.50/0.83 | closed(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_232]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1952,plain,
% 0.50/0.83 ( ~ maps(X0,cross_product(X1,X1),X1)
% 0.50/0.83 | closed(X1,X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1951]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_230,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | X1 = X2
% 0.50/0.83 | ~ member(ordered_pair(X3,X2),X0)
% 0.50/0.83 | ~ member(ordered_pair(X3,X1),X0)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X3) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_893_5) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1947,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | X1 = X2
% 0.50/0.83 | ~ member(ordered_pair(X3,X2),X0)
% 0.50/0.83 | ~ member(ordered_pair(X3,X1),X0)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X3) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_230]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1948,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X0,X3),X2)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ single_valued_set(X2)
% 0.50/0.83 | X3 = X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1947]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_229,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X2 = X3
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X0)
% 0.50/0.83 | ~ member(ordered_pair(X1,X2),X0)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_893_4) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1945,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X2 = X3
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X0)
% 0.50/0.83 | ~ member(ordered_pair(X1,X2),X0)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_229]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1946,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X0,X3),X2)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ single_valued_set(X2)
% 0.50/0.83 | X3 = X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1945]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_227,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X2 = X3
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X0)
% 0.50/0.83 | ~ member(ordered_pair(X1,X2),X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_893_2) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1941,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X2 = X3
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X0)
% 0.50/0.83 | ~ member(ordered_pair(X1,X2),X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_227]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1942,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X0,X3),X2)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ single_valued_set(X2)
% 0.50/0.83 | X3 = X1 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1941]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_225,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ member(ordered_pair(X1,X2),X0)
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X0)
% 0.50/0.83 | X2 = X3 ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_893_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1937,plain,
% 0.50/0.83 ( ~ single_valued_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ member(ordered_pair(X1,X2),X0)
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X0)
% 0.50/0.83 | X2 = X3 ),
% 0.50/0.83 inference(copy,[status(esa)],[c_225]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1938,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X0,X3),X2)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ single_valued_set(X2)
% 0.50/0.83 | X1 = X3 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1937]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_222,plain,
% 0.50/0.83 ( ~ identity(X0,X1,X2)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | apply_to_two_arguments(X1,X3,X2) = X3 ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_892_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1931,plain,
% 0.50/0.83 ( ~ identity(X0,X1,X2)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | apply_to_two_arguments(X1,X3,X2) = X3 ),
% 0.50/0.83 inference(copy,[status(esa)],[c_222]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1932,plain,
% 0.50/0.83 ( ~ member(X0,X1)
% 0.50/0.83 | ~ identity(X1,X2,X3)
% 0.50/0.83 | apply_to_two_arguments(X2,X0,X3) = X0 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1931]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_219,plain,
% 0.50/0.83 ( ~ identity(X0,X1,X2)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | apply_to_two_arguments(X1,X2,X3) = X3 ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_891_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1925,plain,
% 0.50/0.83 ( ~ identity(X0,X1,X2)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | apply_to_two_arguments(X1,X2,X3) = X3 ),
% 0.50/0.83 inference(copy,[status(esa)],[c_219]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1926,plain,
% 0.50/0.83 ( ~ member(X0,X1)
% 0.50/0.83 | ~ identity(X1,X2,X3)
% 0.50/0.83 | apply_to_two_arguments(X2,X3,X0) = X0 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1925]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_200,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ member(empty_set,X1)
% 0.50/0.83 | ~ member(successor(f43(X0,X1)),X1)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_883_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1887,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ member(empty_set,X1)
% 0.50/0.83 | ~ member(successor(f43(X0,X1)),X1)
% 0.50/0.83 | member(X0,X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_200]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1888,plain,
% 0.50/0.83 ( ~ member(successor(f43(X0,X1)),X1)
% 0.50/0.83 | ~ member(empty_set,X1)
% 0.50/0.83 | ~ member(X0,natural_numbers)
% 0.50/0.83 | member(X0,X1)
% 0.50/0.83 | ~ little_set(X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1887]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_198,plain,
% 0.50/0.83 ( ~ commutes(X0,X1)
% 0.50/0.83 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | ~ member(X2,X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_882_2) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1883,plain,
% 0.50/0.83 ( ~ commutes(X0,X1)
% 0.50/0.83 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | ~ member(X2,X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_198]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1884,plain,
% 0.50/0.83 ( ~ member(X0,X1)
% 0.50/0.83 | ~ member(X2,X1)
% 0.50/0.83 | ~ commutes(X1,X3)
% 0.50/0.83 | apply_to_two_arguments(X3,X2,X0) = apply_to_two_arguments(X3,X0,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1883]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_196,plain,
% 0.50/0.83 ( ~ commutes(X0,X1)
% 0.50/0.83 | ~ member(X2,X0)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_882_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1879,plain,
% 0.50/0.83 ( ~ commutes(X0,X1)
% 0.50/0.83 | ~ member(X2,X0)
% 0.50/0.83 | ~ member(X3,X0)
% 0.50/0.83 | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_196]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1880,plain,
% 0.50/0.83 ( ~ member(X0,X1)
% 0.50/0.83 | ~ member(X2,X1)
% 0.50/0.83 | ~ commutes(X1,X3)
% 0.50/0.83 | apply_to_two_arguments(X3,X0,X2) = apply_to_two_arguments(X3,X2,X0) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1879]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_190,plain,
% 0.50/0.83 ( ~ member(X0,prime_numbers)
% 0.50/0.83 | member(X1,non_ordered_pair(successor(empty_set),X0))
% 0.50/0.83 | apply_to_two_arguments(times,X1,X2) != X0
% 0.50/0.83 | ~ member(X2,natural_numbers)
% 0.50/0.83 | ~ member(X1,natural_numbers) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_879_3) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1867,plain,
% 0.50/0.83 ( ~ member(X0,prime_numbers)
% 0.50/0.83 | member(X1,non_ordered_pair(successor(empty_set),X0))
% 0.50/0.83 | apply_to_two_arguments(times,X1,X2) != X0
% 0.50/0.83 | ~ member(X2,natural_numbers)
% 0.50/0.83 | ~ member(X1,natural_numbers) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_190]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1868,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | member(X1,non_ordered_pair(successor(empty_set),X2))
% 0.50/0.83 | ~ member(X2,prime_numbers)
% 0.50/0.83 | apply_to_two_arguments(times,X1,X0) != X2 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1867]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_187,plain,
% 0.50/0.83 ( ~ member(X0,prime_numbers)
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | ~ member(X2,natural_numbers)
% 0.50/0.83 | apply_to_two_arguments(times,X1,X2) != X0
% 0.50/0.83 | member(X1,non_ordered_pair(successor(empty_set),X0)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_879_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1861,plain,
% 0.50/0.83 ( ~ member(X0,prime_numbers)
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | ~ member(X2,natural_numbers)
% 0.50/0.83 | apply_to_two_arguments(times,X1,X2) != X0
% 0.50/0.83 | member(X1,non_ordered_pair(successor(empty_set),X0)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_187]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1862,plain,
% 0.50/0.83 ( ~ member(X0,natural_numbers)
% 0.50/0.83 | ~ member(X1,natural_numbers)
% 0.50/0.83 | member(X0,non_ordered_pair(successor(empty_set),X2))
% 0.50/0.83 | ~ member(X2,prime_numbers)
% 0.50/0.83 | apply_to_two_arguments(times,X0,X1) != X2 ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1861]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_184,plain,
% 0.50/0.83 ( ~ member(X0,X1) | identity(X1,X2,X0) | member(f37(X1,X2,X0),X1) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_878_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1855,plain,
% 0.50/0.83 ( ~ member(X0,X1) | identity(X1,X2,X0) | member(f37(X1,X2,X0),X1) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_184]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1856,plain,
% 0.50/0.83 ( member(f37(X0,X1,X2),X0) | ~ member(X2,X0) | identity(X0,X1,X2) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1855]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_179,plain,
% 0.50/0.83 ( member(X0,compose(X1,X2))
% 0.50/0.83 | ~ member(ordered_pair(X3,X4),X2)
% 0.50/0.83 | ~ member(ordered_pair(X5,X3),X1)
% 0.50/0.83 | X0 != ordered_pair(X5,X4)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X5)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_875_7) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1845,plain,
% 0.50/0.83 ( member(X0,compose(X1,X2))
% 0.50/0.83 | ~ member(ordered_pair(X3,X4),X2)
% 0.50/0.83 | ~ member(ordered_pair(X5,X3),X1)
% 0.50/0.83 | X0 != ordered_pair(X5,X4)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X5)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_179]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1846,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X3,X0),X4)
% 0.50/0.83 | member(X5,compose(X4,X2))
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X5)
% 0.50/0.83 | X5 != ordered_pair(X3,X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1845]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_178,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | member(X0,compose(X1,X2))
% 0.50/0.83 | ~ member(ordered_pair(X3,X4),X2)
% 0.50/0.83 | ~ member(ordered_pair(X5,X3),X1)
% 0.50/0.83 | X0 != ordered_pair(X5,X4)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X5) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_875_6) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1843,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | member(X0,compose(X1,X2))
% 0.50/0.83 | ~ member(ordered_pair(X3,X4),X2)
% 0.50/0.83 | ~ member(ordered_pair(X5,X3),X1)
% 0.50/0.83 | X0 != ordered_pair(X5,X4)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X5) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_178]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1844,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X3,X0),X4)
% 0.50/0.83 | member(X5,compose(X4,X2))
% 0.50/0.83 | ~ little_set(X5)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X5 != ordered_pair(X3,X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1843]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_177,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(X0,compose(X2,X3))
% 0.50/0.83 | ~ member(ordered_pair(X4,X5),X3)
% 0.50/0.83 | ~ member(ordered_pair(X1,X4),X2)
% 0.50/0.83 | X0 != ordered_pair(X1,X5)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X5) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_875_5) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1841,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(X0,compose(X2,X3))
% 0.50/0.83 | ~ member(ordered_pair(X4,X5),X3)
% 0.50/0.83 | ~ member(ordered_pair(X1,X4),X2)
% 0.50/0.83 | X0 != ordered_pair(X1,X5)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X5) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_177]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1842,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X3,X0),X4)
% 0.50/0.83 | member(X5,compose(X4,X2))
% 0.50/0.83 | ~ little_set(X5)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X5 != ordered_pair(X3,X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1841]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_174,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,X2)
% 0.50/0.83 | member(X0,compose(X4,X5))
% 0.50/0.83 | ~ member(ordered_pair(X3,X2),X5)
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X4) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_875_2) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1835,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,X2)
% 0.50/0.83 | member(X0,compose(X4,X5))
% 0.50/0.83 | ~ member(ordered_pair(X3,X2),X5)
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X4) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_174]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1836,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X3,X0),X4)
% 0.50/0.83 | member(X5,compose(X4,X2))
% 0.50/0.83 | ~ little_set(X5)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | X5 != ordered_pair(X3,X1) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1835]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_172,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,X2)
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X4)
% 0.50/0.83 | ~ member(ordered_pair(X3,X2),X5)
% 0.50/0.83 | member(X0,compose(X4,X5)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_875_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1831,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,X2)
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X4)
% 0.50/0.83 | ~ member(ordered_pair(X3,X2),X5)
% 0.50/0.83 | member(X0,compose(X4,X5)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_172]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1832,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,X1),X2)
% 0.50/0.83 | ~ member(ordered_pair(X1,X3),X4)
% 0.50/0.83 | member(X5,compose(X2,X4))
% 0.50/0.83 | ~ little_set(X5)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X5 != ordered_pair(X0,X3) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1831]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_171,plain,
% 0.50/0.83 ( member(X0,flip_range_of(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_874_6) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1829,plain,
% 0.50/0.83 ( member(X0,flip_range_of(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_171]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1830,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,flip_range_of(X3))
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1829]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_170,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | member(X0,flip_range_of(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X2) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_874_5) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1827,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | member(X0,flip_range_of(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X2) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_170]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1828,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,flip_range_of(X3))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1827]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_169,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(X0,flip_range_of(X2))
% 0.50/0.83 | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_874_4) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1825,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(X0,flip_range_of(X2))
% 0.50/0.83 | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X4) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_169]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1826,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,flip_range_of(X3))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1825]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_165,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.50/0.83 | ~ member(ordered_pair(X1,ordered_pair(X3,X2)),X4)
% 0.50/0.83 | member(X0,flip_range_of(X4)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_874_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1817,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.50/0.83 | ~ member(ordered_pair(X1,ordered_pair(X3,X2)),X4)
% 0.50/0.83 | member(X0,flip_range_of(X4)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_165]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1818,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,flip_range_of(X3))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X4 != ordered_pair(X0,ordered_pair(X2,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1817]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_164,plain,
% 0.50/0.83 ( member(X0,rotate_right(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_873_6) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1815,plain,
% 0.50/0.83 ( member(X0,rotate_right(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X0) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_164]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1816,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,rotate_right(X3))
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1815]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_163,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | member(X0,rotate_right(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X4) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_873_5) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1813,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | member(X0,rotate_right(X1))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 0.50/0.83 | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X4) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_163]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1814,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,rotate_right(X3))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1813]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_162,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(X0,rotate_right(X2))
% 0.50/0.83 | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X3) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_873_4) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1811,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | member(X0,rotate_right(X2))
% 0.50/0.83 | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X3) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_162]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1812,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,rotate_right(X3))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1811]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_158,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X1)),X4)
% 0.50/0.83 | member(X0,rotate_right(X4)) ),
% 0.50/0.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_873_0) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1803,plain,
% 0.50/0.83 ( ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X3)
% 0.50/0.83 | X0 != ordered_pair(X1,ordered_pair(X2,X3))
% 0.50/0.83 | ~ member(ordered_pair(X2,ordered_pair(X3,X1)),X4)
% 0.50/0.83 | member(X0,rotate_right(X4)) ),
% 0.50/0.83 inference(copy,[status(esa)],[c_158]) ).
% 0.50/0.83
% 0.50/0.83 cnf(c_1804,plain,
% 0.50/0.83 ( ~ member(ordered_pair(X0,ordered_pair(X1,X2)),X3)
% 0.50/0.83 | member(X4,rotate_right(X3))
% 0.50/0.83 | ~ little_set(X4)
% 0.50/0.83 | ~ little_set(X2)
% 0.50/0.83 | ~ little_set(X0)
% 0.50/0.83 | ~ little_set(X1)
% 0.50/0.83 | X4 != ordered_pair(X2,ordered_pair(X0,X1)) ),
% 0.50/0.83 inference(rewriting,[status(thm)],[c_1803]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_146,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.50/0.84 | member(X0,plus)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_867_5) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1779,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.50/0.84 | member(X0,plus)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_146]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1780,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.50/0.84 | member(X3,plus)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X0,natural_numbers)
% 0.50/0.84 | ~ little_set(X3) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1779]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_145,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.50/0.84 | member(X0,plus)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_867_4) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1777,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 0.50/0.84 | member(X0,plus)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_145]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1778,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.50/0.84 | member(X3,plus)
% 0.50/0.84 | ~ member(X0,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ little_set(X3) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1777]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_141,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.50/0.84 | member(X0,plus)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0)) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_867_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1769,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 0.50/0.84 | member(X0,plus)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0)) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_141]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1770,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 0.50/0.84 | member(X3,plus)
% 0.50/0.84 | ~ member(X0,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ little_set(X3) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1769]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_136,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(f53(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_866_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1759,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(f53(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_136]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1760,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(f53(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,times)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1759]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_131,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(f52(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_865_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1749,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(f52(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_131]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1750,plain,
% 0.50/0.84 ( member(f52(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | ~ member(X0,times)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1749]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_126,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(f51(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_864_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1739,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(f51(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_126]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1740,plain,
% 0.50/0.84 ( member(f51(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | ~ member(X0,times)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1739]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_120,plain,
% 0.50/0.84 ( ~ associative(X0,X1)
% 0.50/0.84 | 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))
% 0.50/0.84 | ~ member(X4,X0)
% 0.50/0.84 | ~ member(X3,X0)
% 0.50/0.84 | ~ member(X2,X0) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_861_3) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1727,plain,
% 0.50/0.84 ( ~ associative(X0,X1)
% 0.50/0.84 | 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))
% 0.50/0.84 | ~ member(X4,X0)
% 0.50/0.84 | ~ member(X3,X0)
% 0.50/0.84 | ~ member(X2,X0) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_120]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1728,plain,
% 0.50/0.84 ( ~ member(X0,X1)
% 0.50/0.84 | ~ member(X2,X1)
% 0.50/0.84 | ~ member(X3,X1)
% 0.50/0.84 | ~ associative(X1,X4)
% 0.50/0.84 | 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)) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1727]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_119,plain,
% 0.50/0.84 ( ~ associative(X0,X1)
% 0.50/0.84 | ~ member(X2,X0)
% 0.50/0.84 | 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))
% 0.50/0.84 | ~ member(X4,X0)
% 0.50/0.84 | ~ member(X3,X0) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_861_2) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1725,plain,
% 0.50/0.84 ( ~ associative(X0,X1)
% 0.50/0.84 | ~ member(X2,X0)
% 0.50/0.84 | 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))
% 0.50/0.84 | ~ member(X4,X0)
% 0.50/0.84 | ~ member(X3,X0) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_119]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1726,plain,
% 0.50/0.84 ( ~ member(X0,X1)
% 0.50/0.84 | ~ member(X2,X1)
% 0.50/0.84 | ~ member(X3,X1)
% 0.50/0.84 | ~ associative(X1,X4)
% 0.50/0.84 | 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)) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1725]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_117,plain,
% 0.50/0.84 ( ~ associative(X0,X1)
% 0.50/0.84 | ~ member(X2,X0)
% 0.50/0.84 | ~ member(X3,X0)
% 0.50/0.84 | ~ member(X4,X0)
% 0.50/0.84 | 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)) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_861_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1721,plain,
% 0.50/0.84 ( ~ associative(X0,X1)
% 0.50/0.84 | ~ member(X2,X0)
% 0.50/0.84 | ~ member(X3,X0)
% 0.50/0.84 | ~ member(X4,X0)
% 0.50/0.84 | 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)) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_117]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1722,plain,
% 0.50/0.84 ( ~ member(X0,X1)
% 0.50/0.84 | ~ member(X2,X1)
% 0.50/0.84 | ~ member(X3,X1)
% 0.50/0.84 | ~ associative(X1,X4)
% 0.50/0.84 | 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)) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1721]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_112,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | member(f50(X0,X1),natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_860_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1711,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | member(f50(X0,X1),natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_112]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1712,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.50/0.84 | member(f50(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,times)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1711]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_107,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | member(f45(X0,X1),natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_859_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1701,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | member(f45(X0,X1),natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_107]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1702,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.50/0.84 | member(f45(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,plus)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1701]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_100,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f48(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_857_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1687,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f48(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_100]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1688,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f48(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,plus)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1687]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_95,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f47(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_856_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1677,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f47(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_95]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1678,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f47(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,plus)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1677]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_90,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f46(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_855_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1667,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f46(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_90]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1668,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(f46(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,plus)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1667]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_75,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ associative(X0,X1)
% 0.50/0.84 | ~ identity(X0,X1,X2)
% 0.50/0.84 | ~ inverse(X0,X1,X2,X3)
% 0.50/0.84 | group(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_850_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1637,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ associative(X0,X1)
% 0.50/0.84 | ~ identity(X0,X1,X2)
% 0.50/0.84 | ~ inverse(X0,X1,X2,X3)
% 0.50/0.84 | group(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_75]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1638,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ inverse(X0,X1,X2,X3)
% 0.50/0.84 | ~ associative(X0,X1)
% 0.50/0.84 | ~ identity(X0,X1,X2)
% 0.50/0.84 | group(X0,X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1637]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_73,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.50/0.84 | member(X0,times)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_849_5) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1633,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.50/0.84 | member(X0,times)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_73]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1634,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.50/0.84 | member(X3,times)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X0,natural_numbers)
% 0.50/0.84 | ~ little_set(X3) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1633]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_72,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.50/0.84 | member(X0,times)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_849_4) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1631,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 0.50/0.84 | member(X0,times)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_72]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1632,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.50/0.84 | member(X3,times)
% 0.50/0.84 | ~ member(X0,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ little_set(X3) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1631]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_68,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.50/0.84 | member(X0,times)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0)) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_849_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1623,plain,
% 0.50/0.84 ( ~ little_set(X0)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ member(X3,natural_numbers)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 0.50/0.84 | member(X0,times)
% 0.50/0.84 | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0)) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_68]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1624,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 0.50/0.84 | member(X3,times)
% 0.50/0.84 | ~ member(X0,natural_numbers)
% 0.50/0.84 | ~ member(X1,natural_numbers)
% 0.50/0.84 | ~ member(X2,natural_numbers)
% 0.50/0.84 | ~ little_set(X3) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1623]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_63,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_848_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1613,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_63]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1614,plain,
% 0.50/0.84 ( member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | ~ member(X0,times)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1613]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_54,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_846_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1595,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_54]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1596,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 0.50/0.84 | ~ member(X0,plus)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1595]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_44,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.50/0.84 | member(f45(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_843_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1575,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.50/0.84 | member(f45(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_44]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1576,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.50/0.84 | member(f45(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,plus)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1575]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_39,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_842_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1565,plain,
% 0.50/0.84 ( ~ member(X0,plus)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_39]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1566,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 0.50/0.84 | ~ member(X0,plus)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1565]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_34,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.50/0.84 | member(f50(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_841_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1555,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.50/0.84 | member(f50(X0,X1),natural_numbers)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_34]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1556,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.50/0.84 | member(f50(X0,X1),natural_numbers)
% 0.50/0.84 | ~ member(X0,times)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1555]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_29,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_840_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1545,plain,
% 0.50/0.84 ( ~ member(X0,times)
% 0.50/0.84 | ~ little_set(X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.50/0.84 | member(X0,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_29]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1546,plain,
% 0.50/0.84 ( ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 0.50/0.84 | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 0.50/0.84 | ~ member(X0,times)
% 0.50/0.84 | member(X0,X1)
% 0.50/0.84 | ~ little_set(X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1545]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_21,plain,
% 0.50/0.84 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 0.50/0.84 | ~ member(X6,X1)
% 0.50/0.84 | ~ member(X5,X1) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_836_2) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1529,plain,
% 0.50/0.84 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 0.50/0.84 | ~ member(X6,X1)
% 0.50/0.84 | ~ member(X5,X1) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_21]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1530,plain,
% 0.50/0.84 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ member(X5,X1)
% 0.50/0.84 | ~ member(X6,X1)
% 0.50/0.84 | apply(X0,apply_to_two_arguments(X2,X6,X5)) = apply_to_two_arguments(X4,apply(X0,X6),apply(X0,X5)) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1529]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_18,plain,
% 0.50/0.84 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.50/0.84 | homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_835_4) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1523,plain,
% 0.50/0.84 ( member(f33(X0,X1,X2,X3,X4),X1)
% 0.50/0.84 | homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_18]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1524,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2)
% 0.50/0.84 | member(f33(X0,X1,X2,X3,X4),X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1523]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_14,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ closed(X2,X3)
% 0.50/0.84 | ~ maps(X4,X0,X2)
% 0.50/0.84 | homomorphism(X4,X0,X1,X2,X3)
% 0.50/0.84 | member(f33(X4,X0,X1,X2,X3),X0) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_835_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1515,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ closed(X2,X3)
% 0.50/0.84 | ~ maps(X4,X0,X2)
% 0.50/0.84 | homomorphism(X4,X0,X1,X2,X3)
% 0.50/0.84 | member(f33(X4,X0,X1,X2,X3),X0) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_14]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1516,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X1,X2)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | member(f33(X0,X1,X2,X3,X4),X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1515]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_13,plain,
% 0.50/0.84 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.50/0.84 | homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_834_4) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1513,plain,
% 0.50/0.84 ( member(f32(X0,X1,X2,X3,X4),X1)
% 0.50/0.84 | homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_13]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1514,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2)
% 0.50/0.84 | member(f32(X0,X1,X2,X3,X4),X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1513]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_9,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ closed(X2,X3)
% 0.50/0.84 | ~ maps(X4,X0,X2)
% 0.50/0.84 | homomorphism(X4,X0,X1,X2,X3)
% 0.50/0.84 | member(f32(X4,X0,X1,X2,X3),X0) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_834_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1505,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ closed(X2,X3)
% 0.50/0.84 | ~ maps(X4,X0,X2)
% 0.50/0.84 | homomorphism(X4,X0,X1,X2,X3)
% 0.50/0.84 | member(f32(X4,X0,X1,X2,X3),X0) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_9]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1506,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X1,X2)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | member(f32(X0,X1,X2,X3,X4),X1) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1505]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_5,plain,
% 0.50/0.84 ( ~ maps(X0,X1,X1)
% 0.50/0.84 | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 0.50/0.84 | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3
% 0.50/0.84 | inverse(X1,X2,X3,X0) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_833_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1497,plain,
% 0.50/0.84 ( ~ maps(X0,X1,X1)
% 0.50/0.84 | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 0.50/0.84 | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3
% 0.50/0.84 | inverse(X1,X2,X3,X0) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_5]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1498,plain,
% 0.50/0.84 ( ~ maps(X0,X1,X1)
% 0.50/0.84 | inverse(X1,X2,X3,X0)
% 0.50/0.84 | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 0.50/0.84 | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3 ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1497]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_4,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | 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)))
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_832_4) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1495,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | 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)))
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_4]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1496,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | ~ closed(X1,X2)
% 0.50/0.84 | 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))) ),
% 0.50/0.84 inference(rewriting,[status(thm)],[c_1495]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_0,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ closed(X2,X3)
% 0.50/0.84 | ~ maps(X4,X0,X2)
% 0.50/0.84 | 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)))
% 0.50/0.84 | homomorphism(X4,X0,X1,X2,X3) ),
% 0.50/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_832_0) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1487,plain,
% 0.50/0.84 ( ~ closed(X0,X1)
% 0.50/0.84 | ~ closed(X2,X3)
% 0.50/0.84 | ~ maps(X4,X0,X2)
% 0.50/0.84 | 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)))
% 0.50/0.84 | homomorphism(X4,X0,X1,X2,X3) ),
% 0.50/0.84 inference(copy,[status(esa)],[c_0]) ).
% 0.50/0.84
% 0.50/0.84 cnf(c_1488,plain,
% 0.50/0.84 ( homomorphism(X0,X1,X2,X3,X4)
% 0.50/0.84 | ~ maps(X0,X1,X3)
% 0.50/0.84 | ~ closed(X1,X2)
% 0.50/0.84 | ~ closed(X3,X4)
% 0.50/0.84 | 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))) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_1487]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_636,negated_conjecture,
% 0.63/0.84 ( finite(twin_prime_numbers) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_4) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_843,negated_conjecture,
% 0.63/0.84 ( finite(twin_prime_numbers) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_636]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_847,negated_conjecture,
% 0.63/0.84 ( finite(twin_prime_numbers) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_843]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_848,negated_conjecture,
% 0.63/0.84 ( finite(twin_prime_numbers) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_847]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_849,negated_conjecture,
% 0.63/0.84 ( finite(twin_prime_numbers) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_848]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2753,negated_conjecture,
% 0.63/0.84 ( finite(twin_prime_numbers) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_849]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_631,plain,
% 0.63/0.84 ( little_set(non_ordered_pair(X0,X1)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_48_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2747,plain,
% 0.63/0.84 ( little_set(non_ordered_pair(X0,X1)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_631]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_630,plain,
% 0.63/0.84 ( ~ member(X0,empty_set) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_49_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2745,plain,
% 0.63/0.84 ( ~ member(X0,empty_set) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_630]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_627,plain,
% 0.63/0.84 ( function(f25) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_52_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2741,plain,( function(f25) ),inference(copy,[status(esa)],[c_627]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_626,plain,
% 0.63/0.84 ( member(empty_set,infinity) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_53_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2739,plain,
% 0.63/0.84 ( member(empty_set,infinity) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_626]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_625,plain,
% 0.63/0.84 ( little_set(infinity) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_54_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2737,plain,
% 0.63/0.84 ( little_set(infinity) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_625]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_623,plain,
% 0.63/0.84 ( ~ one_to_one_function(X0) | function(X0) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1039_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2733,plain,
% 0.63/0.84 ( ~ one_to_one_function(X0) | function(X0) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_623]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_621,plain,
% 0.63/0.84 ( ~ function(X0) | single_valued_set(X0) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1038_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2729,plain,
% 0.63/0.84 ( ~ function(X0) | single_valued_set(X0) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_621]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2730,plain,
% 0.63/0.84 ( single_valued_set(X0) | ~ function(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2729]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_619,plain,
% 0.63/0.84 ( ~ function(X0) | relation(X0) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1037_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2725,plain,
% 0.63/0.84 ( ~ function(X0) | relation(X0) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_619]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_617,plain,
% 0.63/0.84 ( single_valued_set(X0) | little_set(f21(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1036_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2721,plain,
% 0.63/0.84 ( single_valued_set(X0) | little_set(f21(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_617]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2722,plain,
% 0.63/0.84 ( little_set(f21(X0)) | single_valued_set(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2721]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_615,plain,
% 0.63/0.84 ( single_valued_set(X0) | little_set(f20(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1035_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2717,plain,
% 0.63/0.84 ( single_valued_set(X0) | little_set(f20(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_615]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2718,plain,
% 0.63/0.84 ( little_set(f20(X0)) | single_valued_set(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2717]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_613,plain,
% 0.63/0.84 ( single_valued_set(X0) | little_set(f19(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1034_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2713,plain,
% 0.63/0.84 ( single_valued_set(X0) | little_set(f19(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_613]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2714,plain,
% 0.63/0.84 ( little_set(f19(X0)) | single_valued_set(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2713]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_611,plain,
% 0.63/0.84 ( f21(X0) != f20(X0) | single_valued_set(X0) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1033_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2709,plain,
% 0.63/0.84 ( f21(X0) != f20(X0) | single_valued_set(X0) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_611]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2710,plain,
% 0.63/0.84 ( single_valued_set(X0) | f21(X0) != f20(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2709]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_609,plain,
% 0.63/0.84 ( ~ finite(X0) | one_to_one_function(f58(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1032_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2705,plain,
% 0.63/0.84 ( ~ finite(X0) | one_to_one_function(f58(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_609]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_607,plain,
% 0.63/0.84 ( ~ one_to_one_function(X0) | function(converse(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1031_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2701,plain,
% 0.63/0.84 ( ~ one_to_one_function(X0) | function(converse(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_607]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_605,plain,
% 0.63/0.84 ( ~ little_set(X0) | little_set(powerset(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1030_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2697,plain,
% 0.63/0.84 ( ~ little_set(X0) | little_set(powerset(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_605]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2698,plain,
% 0.63/0.84 ( little_set(powerset(X0)) | ~ little_set(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2697]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_603,plain,
% 0.63/0.84 ( ~ little_set(X0) | little_set(sigma(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1029_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2693,plain,
% 0.63/0.84 ( ~ little_set(X0) | little_set(sigma(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_603]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2694,plain,
% 0.63/0.84 ( little_set(sigma(X0)) | ~ little_set(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2693]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_601,plain,
% 0.63/0.84 ( ~ ordered_pair_predicate(X0) | little_set(f3(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1028_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2689,plain,
% 0.63/0.84 ( ~ ordered_pair_predicate(X0) | little_set(f3(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_601]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2690,plain,
% 0.63/0.84 ( little_set(f3(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2689]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_599,plain,
% 0.63/0.84 ( ~ ordered_pair_predicate(X0) | little_set(f2(X0)) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1027_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2685,plain,
% 0.63/0.84 ( ~ ordered_pair_predicate(X0) | little_set(f2(X0)) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_599]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2686,plain,
% 0.63/0.84 ( little_set(f2(X0)) | ~ ordered_pair_predicate(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2685]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_597,plain,
% 0.63/0.84 ( ~ finite(X0) | range_of(f58(X0)) = X0 ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1026_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2681,plain,
% 0.63/0.84 ( ~ finite(X0) | range_of(f58(X0)) = X0 ),
% 0.63/0.84 inference(copy,[status(esa)],[c_597]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_592,plain,
% 0.63/0.84 ( ~ little_set(X0) | member(X0,universal_set) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1024_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2671,plain,
% 0.63/0.84 ( ~ little_set(X0) | member(X0,universal_set) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_592]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2672,plain,
% 0.63/0.84 ( member(X0,universal_set) | ~ little_set(X0) ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2671]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_590,plain,
% 0.63/0.84 ( ~ ordered_pair_predicate(f18(X0)) | relation(X0) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1023_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2667,plain,
% 0.63/0.84 ( ~ ordered_pair_predicate(f18(X0)) | relation(X0) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_590]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_588,plain,
% 0.63/0.84 ( X0 = empty_set | disjoint(f24(X0),X0) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1022_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2663,plain,
% 0.63/0.84 ( X0 = empty_set | disjoint(f24(X0),X0) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_588]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2664,plain,
% 0.63/0.84 ( disjoint(f24(X0),X0) | X0 = empty_set ),
% 0.63/0.84 inference(rewriting,[status(thm)],[c_2663]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_586,plain,
% 0.63/0.84 ( X0 = empty_set | member(f24(X0),X0) ),
% 0.63/0.84 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1021_0) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2659,plain,
% 0.63/0.84 ( X0 = empty_set | member(f24(X0),X0) ),
% 0.63/0.84 inference(copy,[status(esa)],[c_586]) ).
% 0.63/0.84
% 0.63/0.84 cnf(c_2660,plain,
% 0.63/0.84 ( member(f24(X0),X0) | X0 = empty_set ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2659]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_584,plain,
% 0.63/0.85 ( ~ member(X0,prime_numbers) | X0 != empty_set ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1020_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2655,plain,
% 0.63/0.85 ( ~ member(X0,prime_numbers) | X0 != empty_set ),
% 0.63/0.85 inference(copy,[status(esa)],[c_584]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_582,plain,
% 0.63/0.85 ( ~ member(X0,identity_relation) | ordered_pair_predicate(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1019_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2651,plain,
% 0.63/0.85 ( ~ member(X0,identity_relation) | ordered_pair_predicate(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_582]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_580,plain,
% 0.63/0.85 ( ~ member(X0,estin) | ordered_pair_predicate(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1018_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2647,plain,
% 0.63/0.85 ( ~ member(X0,estin) | ordered_pair_predicate(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_580]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_578,plain,
% 0.63/0.85 ( relation(X0) | member(f18(X0),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1017_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2643,plain,
% 0.63/0.85 ( relation(X0) | member(f18(X0),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_578]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2644,plain,
% 0.63/0.85 ( member(f18(X0),X0) | relation(X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2643]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_576,plain,
% 0.63/0.85 ( ~ finite(X0) | member(f57(X0),natural_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1016_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2639,plain,
% 0.63/0.85 ( ~ finite(X0) | member(f57(X0),natural_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_576]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2640,plain,
% 0.63/0.85 ( member(f57(X0),natural_numbers) | ~ finite(X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2639]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_574,plain,
% 0.63/0.85 ( ~ member(X0,prime_numbers) | X0 != successor(empty_set) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1015_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2635,plain,
% 0.63/0.85 ( ~ member(X0,prime_numbers) | X0 != successor(empty_set) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_574]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_572,plain,
% 0.63/0.85 ( ~ proper_subset(X0,X1) | X0 != X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1014_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2631,plain,
% 0.63/0.85 ( ~ proper_subset(X0,X1) | X0 != X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_572]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_570,plain,
% 0.63/0.85 ( ~ closed(X0,X1) | little_set(X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1013_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2627,plain,
% 0.63/0.85 ( ~ closed(X0,X1) | little_set(X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_570]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_568,plain,
% 0.63/0.85 ( ~ closed(X0,X1) | little_set(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1012_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2623,plain,
% 0.63/0.85 ( ~ closed(X0,X1) | little_set(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_568]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_566,plain,
% 0.63/0.85 ( ~ member(X0,X1) | little_set(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1011_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2619,plain,
% 0.63/0.85 ( ~ member(X0,X1) | little_set(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_566]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_563,plain,
% 0.63/0.85 ( ~ function(X0) | ~ function(converse(X0)) | one_to_one_function(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1010_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2613,plain,
% 0.63/0.85 ( ~ function(X0) | ~ function(converse(X0)) | one_to_one_function(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_563]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2614,plain,
% 0.63/0.85 ( one_to_one_function(X0) | ~ function(converse(X0)) | ~ function(X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2613]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_561,plain,
% 0.63/0.85 ( ~ member(X0,identity_relation) | first(X0) = second(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1009_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2609,plain,
% 0.63/0.85 ( ~ member(X0,identity_relation) | first(X0) = second(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_561]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_547,plain,
% 0.63/0.85 ( little_set(f1(X0,X1)) | X0 = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1004_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2581,plain,
% 0.63/0.85 ( little_set(f1(X0,X1)) | X0 = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_547]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_545,plain,
% 0.63/0.85 ( ~ member(X0,even_numbers) | member(X0,natural_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1003_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2577,plain,
% 0.63/0.85 ( ~ member(X0,even_numbers) | member(X0,natural_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_545]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2578,plain,
% 0.63/0.85 ( member(X0,natural_numbers) | ~ member(X0,even_numbers) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2577]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_543,plain,
% 0.63/0.85 ( ~ member(X0,twin_prime_numbers) | member(X0,prime_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1002_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2573,plain,
% 0.63/0.85 ( ~ member(X0,twin_prime_numbers) | member(X0,prime_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_543]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2574,plain,
% 0.63/0.85 ( member(X0,prime_numbers) | ~ member(X0,twin_prime_numbers) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2573]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_541,plain,
% 0.63/0.85 ( ~ member(X0,prime_numbers) | member(X0,natural_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_1001_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2569,plain,
% 0.63/0.85 ( ~ member(X0,prime_numbers) | member(X0,natural_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_541]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2570,plain,
% 0.63/0.85 ( member(X0,natural_numbers) | ~ member(X0,prime_numbers) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2569]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_536,plain,
% 0.63/0.85 ( ~ ordered_pair_predicate(X0) | ordered_pair(f2(X0),f3(X0)) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_999_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2559,plain,
% 0.63/0.85 ( ~ ordered_pair_predicate(X0) | ordered_pair(f2(X0),f3(X0)) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_536]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_534,plain,
% 0.63/0.85 ( ~ member(X0,converse(X1)) | ordered_pair_predicate(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_998_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2555,plain,
% 0.63/0.85 ( ~ member(X0,converse(X1)) | ordered_pair_predicate(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_534]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_532,plain,
% 0.63/0.85 ( ~ group(X0,X1) | associative(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_997_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2551,plain,
% 0.63/0.85 ( ~ group(X0,X1) | associative(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_532]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2552,plain,
% 0.63/0.85 ( associative(X0,X1) | ~ group(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2551]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_530,plain,
% 0.63/0.85 ( ~ group(X0,X1) | closed(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_996_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2547,plain,
% 0.63/0.85 ( ~ group(X0,X1) | closed(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_530]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2548,plain,
% 0.63/0.85 ( closed(X0,X1) | ~ group(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2547]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_528,plain,
% 0.63/0.85 ( ~ proper_subset(X0,X1) | subset(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_995_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2543,plain,
% 0.63/0.85 ( ~ proper_subset(X0,X1) | subset(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_528]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2544,plain,
% 0.63/0.85 ( subset(X0,X1) | ~ proper_subset(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2543]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_525,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | member(X0,natural_numbers)
% 0.63/0.85 | member(empty_set,f44(X0)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_994_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2537,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | member(X0,natural_numbers)
% 0.63/0.85 | member(empty_set,f44(X0)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_525]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2538,plain,
% 0.63/0.85 ( member(empty_set,f44(X0))
% 0.63/0.85 | member(X0,natural_numbers)
% 0.63/0.85 | ~ little_set(X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2537]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_523,plain,
% 0.63/0.85 ( ~ member(X0,even_numbers) | member(f59(X0),natural_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_993_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2533,plain,
% 0.63/0.85 ( ~ member(X0,even_numbers) | member(f59(X0),natural_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_523]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2534,plain,
% 0.63/0.85 ( member(f59(X0),natural_numbers) | ~ member(X0,even_numbers) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2533]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_521,plain,
% 0.63/0.85 ( ~ member(X0,infinity) | member(successor(X0),infinity) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_992_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2529,plain,
% 0.63/0.85 ( ~ member(X0,infinity) | member(successor(X0),infinity) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_521]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2530,plain,
% 0.63/0.85 ( member(successor(X0),infinity) | ~ member(X0,infinity) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2529]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_518,plain,
% 0.63/0.85 ( ~ subset(X0,X1) | proper_subset(X0,X1) | X0 = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_991_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2523,plain,
% 0.63/0.85 ( ~ subset(X0,X1) | proper_subset(X0,X1) | X0 = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_518]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_507,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ little_set(X1)
% 0.63/0.85 | X2 != ordered_pair(X0,X1)
% 0.63/0.85 | ordered_pair_predicate(X2) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_988_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2501,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ little_set(X1)
% 0.63/0.85 | X2 != ordered_pair(X0,X1)
% 0.63/0.85 | ordered_pair_predicate(X2) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_507]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2502,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ little_set(X1)
% 0.63/0.85 | ordered_pair_predicate(X2)
% 0.63/0.85 | X2 != ordered_pair(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2501]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_502,plain,
% 0.63/0.85 ( ~ member(X0,f54(X0)) | member(X0,times) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_986_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2491,plain,
% 0.63/0.85 ( ~ member(X0,f54(X0)) | member(X0,times) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_502]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2492,plain,
% 0.63/0.85 ( member(X0,times) | ~ member(X0,f54(X0)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2491]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_500,plain,
% 0.63/0.85 ( ~ member(X0,f49(X0)) | member(X0,plus) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_985_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2487,plain,
% 0.63/0.85 ( ~ member(X0,f49(X0)) | member(X0,plus) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_500]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2488,plain,
% 0.63/0.85 ( member(X0,plus) | ~ member(X0,f49(X0)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2487]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_498,plain,
% 0.63/0.85 ( ~ member(X0,f44(X0)) | member(X0,natural_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_984_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2483,plain,
% 0.63/0.85 ( ~ member(X0,f44(X0)) | member(X0,natural_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_498]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2484,plain,
% 0.63/0.85 ( member(X0,natural_numbers) | ~ member(X0,f44(X0)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2483]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_496,plain,
% 0.63/0.85 ( ~ member(X0,powerset(X1)) | subset(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_983_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2479,plain,
% 0.63/0.85 ( ~ member(X0,powerset(X1)) | subset(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_496]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_494,plain,
% 0.63/0.85 ( ~ member(X0,estin) | member(first(X0),second(X0)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_982_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2475,plain,
% 0.63/0.85 ( ~ member(X0,estin) | member(first(X0),second(X0)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_494]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2476,plain,
% 0.63/0.85 ( member(first(X0),second(X0)) | ~ member(X0,estin) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2475]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_483,plain,
% 0.63/0.85 ( ~ member(X0,twin_prime_numbers)
% 0.63/0.85 | member(successor(successor(X0)),prime_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_978_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2453,plain,
% 0.63/0.85 ( ~ member(X0,twin_prime_numbers)
% 0.63/0.85 | member(successor(successor(X0)),prime_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_483]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2454,plain,
% 0.63/0.85 ( member(successor(successor(X0)),prime_numbers)
% 0.63/0.85 | ~ member(X0,twin_prime_numbers) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2453]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_481,plain,
% 0.63/0.85 ( commutes(X0,X1) | member(f42(X0,X1),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_977_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2449,plain,
% 0.63/0.85 ( commutes(X0,X1) | member(f42(X0,X1),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_481]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2450,plain,
% 0.63/0.85 ( member(f42(X0,X1),X0) | commutes(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2449]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_479,plain,
% 0.63/0.85 ( commutes(X0,X1) | member(f41(X0,X1),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_976_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2445,plain,
% 0.63/0.85 ( commutes(X0,X1) | member(f41(X0,X1),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_479]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2446,plain,
% 0.63/0.85 ( member(f41(X0,X1),X0) | commutes(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2445]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_477,plain,
% 0.63/0.85 ( associative(X0,X1) | member(f36(X0,X1),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_975_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2441,plain,
% 0.63/0.85 ( associative(X0,X1) | member(f36(X0,X1),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_477]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2442,plain,
% 0.63/0.85 ( member(f36(X0,X1),X0) | associative(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2441]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_475,plain,
% 0.63/0.85 ( associative(X0,X1) | member(f35(X0,X1),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_974_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2437,plain,
% 0.63/0.85 ( associative(X0,X1) | member(f35(X0,X1),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_475]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2438,plain,
% 0.63/0.85 ( member(f35(X0,X1),X0) | associative(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2437]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_473,plain,
% 0.63/0.85 ( associative(X0,X1) | member(f34(X0,X1),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_973_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2433,plain,
% 0.63/0.85 ( associative(X0,X1) | member(f34(X0,X1),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_473]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2434,plain,
% 0.63/0.85 ( member(f34(X0,X1),X0) | associative(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2433]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_471,plain,
% 0.63/0.85 ( disjoint(X0,X1) | member(f23(X0,X1),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_972_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2429,plain,
% 0.63/0.85 ( disjoint(X0,X1) | member(f23(X0,X1),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_471]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2430,plain,
% 0.63/0.85 ( member(f23(X0,X1),X1) | disjoint(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2429]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_469,plain,
% 0.63/0.85 ( disjoint(X0,X1) | member(f23(X0,X1),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_971_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2425,plain,
% 0.63/0.85 ( disjoint(X0,X1) | member(f23(X0,X1),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_469]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2426,plain,
% 0.63/0.85 ( member(f23(X0,X1),X0) | disjoint(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2425]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_467,plain,
% 0.63/0.85 ( subset(X0,X1) | member(f17(X0,X1),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_970_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2421,plain,
% 0.63/0.85 ( subset(X0,X1) | member(f17(X0,X1),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_467]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2422,plain,
% 0.63/0.85 ( member(f17(X0,X1),X0) | subset(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2421]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_465,plain,
% 0.63/0.85 ( ~ member(X0,complement(X1)) | ~ member(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_969_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2417,plain,
% 0.63/0.85 ( ~ member(X0,complement(X1)) | ~ member(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_465]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_450,plain,
% 0.63/0.85 ( ~ subset(X0,X1) | member(X2,X1) | ~ member(X2,X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_965_1) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2387,plain,
% 0.63/0.85 ( ~ subset(X0,X1) | member(X2,X1) | ~ member(X2,X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_450]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2388,plain,
% 0.63/0.85 ( member(X0,X1) | ~ member(X0,X2) | ~ subset(X2,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2387]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_447,plain,
% 0.63/0.85 ( ~ member(X0,range_of(X1)) | ordered_pair_predicate(f27(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_964_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2381,plain,
% 0.63/0.85 ( ~ member(X0,range_of(X1)) | ordered_pair_predicate(f27(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_447]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_445,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1)) | little_set(f14(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_963_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2377,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1)) | little_set(f14(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_445]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_443,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1)) | little_set(f13(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_962_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2373,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1)) | little_set(f13(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_443]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_441,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1)) | little_set(f12(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_961_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2369,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1)) | little_set(f12(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_441]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_439,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1)) | little_set(f11(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_960_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2365,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1)) | little_set(f11(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_439]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_437,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1)) | little_set(f10(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_959_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2361,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1)) | little_set(f10(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_437]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_435,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1)) | little_set(f9(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_958_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2357,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1)) | little_set(f9(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_435]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_433,plain,
% 0.63/0.85 ( ~ member(X0,domain_of(X1)) | ordered_pair_predicate(f8(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_957_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2353,plain,
% 0.63/0.85 ( ~ member(X0,domain_of(X1)) | ordered_pair_predicate(f8(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_433]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_431,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | little_set(f7(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_956_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2349,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | little_set(f7(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_431]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_429,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | little_set(f6(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_955_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2345,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | little_set(f6(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_429]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_427,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | little_set(f5(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_954_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2341,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | little_set(f5(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_427]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_425,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | little_set(f4(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_953_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2337,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | little_set(f4(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_425]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_423,plain,
% 0.63/0.85 ( ~ member(X0,range_of(X1)) | second(f27(X0,X1)) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_952_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2333,plain,
% 0.63/0.85 ( ~ member(X0,range_of(X1)) | second(f27(X0,X1)) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_423]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_421,plain,
% 0.63/0.85 ( ~ member(X0,domain_of(X1)) | first(f8(X0,X1)) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_951_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2329,plain,
% 0.63/0.85 ( ~ member(X0,domain_of(X1)) | first(f8(X0,X1)) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_421]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_415,plain,
% 0.63/0.85 ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_949_2) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2317,plain,
% 0.63/0.85 ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_415]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_406,plain,
% 0.63/0.85 ( ~ member(X0,cross_product(X1,X2)) | ordered_pair_predicate(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_947_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2299,plain,
% 0.63/0.85 ( ~ member(X0,cross_product(X1,X2)) | ordered_pair_predicate(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_406]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_404,plain,
% 0.63/0.85 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X2 | X0 = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_946_1) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2295,plain,
% 0.63/0.85 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X2 | X0 = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_404]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_403,plain,
% 0.63/0.85 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_946_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2293,plain,
% 0.63/0.85 ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_403]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_401,plain,
% 0.63/0.85 ( ~ disjoint(X0,X1) | ~ member(X2,X1) | ~ member(X2,X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_945_1) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2289,plain,
% 0.63/0.85 ( ~ disjoint(X0,X1) | ~ member(X2,X1) | ~ member(X2,X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_401]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2290,plain,
% 0.63/0.85 ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X2,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2289]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_394,plain,
% 0.63/0.85 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f21(X0)),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_943_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2275,plain,
% 0.63/0.85 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f21(X0)),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_394]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2276,plain,
% 0.63/0.85 ( member(ordered_pair(f19(X0),f21(X0)),X0) | single_valued_set(X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2275]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_392,plain,
% 0.63/0.85 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f20(X0)),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_942_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2271,plain,
% 0.63/0.85 ( single_valued_set(X0) | member(ordered_pair(f19(X0),f20(X0)),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_392]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2272,plain,
% 0.63/0.85 ( member(ordered_pair(f19(X0),f20(X0)),X0) | single_valued_set(X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2271]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_390,plain,
% 0.63/0.85 ( ~ member(X0,range_of(X1)) | member(f27(X0,X1),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_941_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2267,plain,
% 0.63/0.85 ( ~ member(X0,range_of(X1)) | member(f27(X0,X1),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_390]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2268,plain,
% 0.63/0.85 ( member(f27(X0,X1),X1) | ~ member(X0,range_of(X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2267]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_388,plain,
% 0.63/0.85 ( ~ member(X0,sigma(X1)) | member(X0,f16(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_940_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2263,plain,
% 0.63/0.85 ( ~ member(X0,sigma(X1)) | member(X0,f16(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_388]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2264,plain,
% 0.63/0.85 ( member(X0,f16(X0,X1)) | ~ member(X0,sigma(X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2263]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_386,plain,
% 0.63/0.85 ( ~ member(X0,sigma(X1)) | member(f16(X0,X1),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_939_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2259,plain,
% 0.63/0.85 ( ~ member(X0,sigma(X1)) | member(f16(X0,X1),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_386]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2260,plain,
% 0.63/0.85 ( member(f16(X0,X1),X1) | ~ member(X0,sigma(X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2259]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_384,plain,
% 0.63/0.85 ( ~ member(X0,domain_of(X1)) | member(f8(X0,X1),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_938_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2255,plain,
% 0.63/0.85 ( ~ member(X0,domain_of(X1)) | member(f8(X0,X1),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_384]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2256,plain,
% 0.63/0.85 ( member(f8(X0,X1),X1) | ~ member(X0,domain_of(X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2255]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_382,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | member(X0,f7(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_937_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2251,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | member(X0,f7(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_382]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_380,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | member(X0,f4(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_936_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2247,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | member(X0,f4(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_380]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_378,plain,
% 0.63/0.85 ( ~ finite(X0) | maps(f58(X0),f57(X0),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_935_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2243,plain,
% 0.63/0.85 ( ~ finite(X0) | maps(f58(X0),f57(X0),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_378]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2244,plain,
% 0.63/0.85 ( maps(f58(X0),f57(X0),X0) | ~ finite(X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2243]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_376,plain,
% 0.63/0.85 ( ~ member(f17(X0,X1),X1) | subset(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_934_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2239,plain,
% 0.63/0.85 ( ~ member(f17(X0,X1),X1) | subset(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_376]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_374,plain,
% 0.63/0.85 ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_933_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2235,plain,
% 0.63/0.85 ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_374]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_372,plain,
% 0.63/0.85 ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_932_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2231,plain,
% 0.63/0.85 ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_372]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_368,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ member(X1,f44(X0))
% 0.63/0.85 | member(X0,natural_numbers)
% 0.63/0.85 | member(successor(X1),f44(X0)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_931_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2223,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ member(X1,f44(X0))
% 0.63/0.85 | member(X0,natural_numbers)
% 0.63/0.85 | member(successor(X1),f44(X0)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_368]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2224,plain,
% 0.63/0.85 ( member(successor(X0),f44(X1))
% 0.63/0.85 | member(X1,natural_numbers)
% 0.63/0.85 | ~ member(X0,f44(X1))
% 0.63/0.85 | ~ little_set(X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2223]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_352,plain,
% 0.63/0.85 ( member(f1(X0,X1),X0) | member(f1(X0,X1),X1) | X0 = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_927_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2191,plain,
% 0.63/0.85 ( member(f1(X0,X1),X0) | member(f1(X0,X1),X1) | X0 = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_352]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_350,plain,
% 0.63/0.85 ( ~ member(X0,cross_product(X1,X2)) | member(second(X0),X2) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_926_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2187,plain,
% 0.63/0.85 ( ~ member(X0,cross_product(X1,X2)) | member(second(X0),X2) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_350]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2188,plain,
% 0.63/0.85 ( member(second(X0),X1) | ~ member(X0,cross_product(X2,X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2187]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_348,plain,
% 0.63/0.85 ( ~ member(X0,cross_product(X1,X2)) | member(first(X0),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_925_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2183,plain,
% 0.63/0.85 ( ~ member(X0,cross_product(X1,X2)) | member(first(X0),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_348]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2184,plain,
% 0.63/0.85 ( member(first(X0),X1) | ~ member(X0,cross_product(X1,X2)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2183]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_347,plain,
% 0.63/0.85 ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_924_2) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2181,plain,
% 0.63/0.85 ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_347]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_343,plain,
% 0.63/0.85 ( ~ member(X0,even_numbers)
% 0.63/0.85 | apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_923_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2173,plain,
% 0.63/0.85 ( ~ member(X0,even_numbers)
% 0.63/0.85 | apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_343]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_341,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X2) | function(X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_922_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2169,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X2) | function(X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_341]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_339,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X2) | domain_of(X0) = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_921_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2165,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X2) | domain_of(X0) = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_339]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_337,plain,
% 0.63/0.85 ( ~ member(X0,converse(X1))
% 0.63/0.85 | member(ordered_pair(second(X0),first(X0)),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_920_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2161,plain,
% 0.63/0.85 ( ~ member(X0,converse(X1))
% 0.63/0.85 | member(ordered_pair(second(X0),first(X0)),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_337]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2162,plain,
% 0.63/0.85 ( member(ordered_pair(second(X0),first(X0)),X1)
% 0.63/0.85 | ~ member(X0,converse(X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2161]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_335,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_919_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2157,plain,
% 0.63/0.85 ( ~ member(X0,second(X1)) | ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_335]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_333,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_918_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2153,plain,
% 0.63/0.85 ( ~ member(X0,first(X1)) | ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_333]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_331,plain,
% 0.63/0.85 ( ~ identity(X0,X1,X2) | member(X2,X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_917_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2149,plain,
% 0.63/0.85 ( ~ identity(X0,X1,X2) | member(X2,X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_331]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2150,plain,
% 0.63/0.85 ( member(X0,X1) | ~ identity(X1,X2,X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2149]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_320,plain,
% 0.63/0.85 ( ~ group(X0,X1) | identity(X0,X1,f39(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_914_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2127,plain,
% 0.63/0.85 ( ~ group(X0,X1) | identity(X0,X1,f39(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_320]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2128,plain,
% 0.63/0.85 ( identity(X0,X1,f39(X0,X1)) | ~ group(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2127]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_318,plain,
% 0.63/0.85 ( ~ closed(X0,X1) | maps(X1,cross_product(X0,X0),X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_913_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2123,plain,
% 0.63/0.85 ( ~ closed(X0,X1) | maps(X1,cross_product(X0,X0),X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_318]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2124,plain,
% 0.63/0.85 ( maps(X0,cross_product(X1,X1),X1) | ~ closed(X1,X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2123]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_313,plain,
% 0.63/0.85 ( ~ member(X0,natural_numbers)
% 0.63/0.85 | member(X0,prime_numbers)
% 0.63/0.85 | X0 = empty_set
% 0.63/0.85 | X0 = successor(empty_set)
% 0.63/0.85 | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_912_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2113,plain,
% 0.63/0.85 ( ~ member(X0,natural_numbers)
% 0.63/0.85 | member(X0,prime_numbers)
% 0.63/0.85 | X0 = empty_set
% 0.63/0.85 | X0 = successor(empty_set)
% 0.63/0.85 | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_313]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2114,plain,
% 0.63/0.85 ( ~ member(X0,natural_numbers)
% 0.63/0.85 | member(X0,prime_numbers)
% 0.63/0.85 | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 0.63/0.85 | X0 = successor(empty_set)
% 0.63/0.85 | X0 = empty_set ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_2113]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_311,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X2) | subset(range_of(X0),X2) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_911_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_2109,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X2) | subset(range_of(X0),X2) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_311]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_252,plain,
% 0.63/0.85 ( ~ member(f1(X0,X1),X0) | ~ member(f1(X0,X1),X1) | X0 = X1 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_899_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1991,plain,
% 0.63/0.85 ( ~ member(f1(X0,X1),X0) | ~ member(f1(X0,X1),X1) | X0 = X1 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_252]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_248,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ member(X1,natural_numbers)
% 0.63/0.85 | member(X0,times)
% 0.63/0.85 | member(ordered_pair(ordered_pair(empty_set,X1),empty_set),f54(X0)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_898_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1983,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ member(X1,natural_numbers)
% 0.63/0.85 | member(X0,times)
% 0.63/0.85 | member(ordered_pair(ordered_pair(empty_set,X1),empty_set),f54(X0)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_248]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1984,plain,
% 0.63/0.85 ( member(ordered_pair(ordered_pair(empty_set,X0),empty_set),f54(X1))
% 0.63/0.85 | member(X1,times)
% 0.63/0.85 | ~ member(X0,natural_numbers)
% 0.63/0.85 | ~ little_set(X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1983]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_244,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ member(X1,natural_numbers)
% 0.63/0.85 | member(X0,plus)
% 0.63/0.85 | member(ordered_pair(ordered_pair(empty_set,X1),X1),f49(X0)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_897_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1975,plain,
% 0.63/0.85 ( ~ little_set(X0)
% 0.63/0.85 | ~ member(X1,natural_numbers)
% 0.63/0.85 | member(X0,plus)
% 0.63/0.85 | member(ordered_pair(ordered_pair(empty_set,X1),X1),f49(X0)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_244]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1976,plain,
% 0.63/0.85 ( member(ordered_pair(ordered_pair(empty_set,X0),X0),f49(X1))
% 0.63/0.85 | member(X1,plus)
% 0.63/0.85 | ~ member(X0,natural_numbers)
% 0.63/0.85 | ~ little_set(X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1975]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_236,plain,
% 0.63/0.85 ( ~ member(X0,natural_numbers)
% 0.63/0.85 | ~ member(X1,natural_numbers)
% 0.63/0.85 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.63/0.85 | member(X0,even_numbers) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_895_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1959,plain,
% 0.63/0.85 ( ~ member(X0,natural_numbers)
% 0.63/0.85 | ~ member(X1,natural_numbers)
% 0.63/0.85 | apply_to_two_arguments(plus,X1,X1) != X0
% 0.63/0.85 | member(X0,even_numbers) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_236]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1960,plain,
% 0.63/0.85 ( ~ member(X0,natural_numbers)
% 0.63/0.85 | ~ member(X1,natural_numbers)
% 0.63/0.85 | member(X0,even_numbers)
% 0.63/0.85 | apply_to_two_arguments(plus,X1,X1) != X0 ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1959]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_217,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2)) | little_set(f31(X0,X1,X2)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_890_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1921,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2)) | little_set(f31(X0,X1,X2)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_217]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_215,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2)) | little_set(f30(X0,X1,X2)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_889_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1917,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2)) | little_set(f30(X0,X1,X2)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_215]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_213,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2)) | little_set(f29(X0,X1,X2)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_888_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1913,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2)) | little_set(f29(X0,X1,X2)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_213]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_211,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | ordered_pair_predicate(f28(X0,X1,X2)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_887_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1909,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | ordered_pair_predicate(f28(X0,X1,X2)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_211]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_209,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | ordered_pair_predicate(f22(X0,X1,X2)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_886_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1905,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | ordered_pair_predicate(f22(X0,X1,X2)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_209]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_207,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | first(f28(X0,X1,X2)) = X2 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_885_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1901,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | first(f28(X0,X1,X2)) = X2 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_207]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_205,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | second(f22(X0,X1,X2)) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_884_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1897,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | second(f22(X0,X1,X2)) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_205]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_194,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | member(f28(X0,X1,X2),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_881_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1875,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | member(f28(X0,X1,X2),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_194]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1876,plain,
% 0.63/0.85 ( member(f28(X0,X1,X2),X1) | ~ member(X0,apply(X1,X2)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1875]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_192,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | member(f22(X0,X1,X2),X2) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_880_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1871,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | member(f22(X0,X1,X2),X2) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_192]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1872,plain,
% 0.63/0.85 ( member(f22(X0,X1,X2),X2) | ~ member(X0,image(X1,X2)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1871]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_182,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1))
% 0.63/0.85 | ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_877_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1851,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1))
% 0.63/0.85 | ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_182]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_180,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1))
% 0.63/0.85 | ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_876_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1847,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1))
% 0.63/0.85 | ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_180]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_156,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2))
% 0.63/0.85 | ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_872_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1799,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2))
% 0.63/0.85 | ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_156]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_154,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | member(X0,second(f28(X0,X1,X2))) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_871_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1795,plain,
% 0.63/0.85 ( ~ member(X0,apply(X1,X2)) | member(X0,second(f28(X0,X1,X2))) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_154]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_152,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | member(first(f22(X0,X1,X2)),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_870_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1791,plain,
% 0.63/0.85 ( ~ member(X0,image(X1,X2)) | member(first(f22(X0,X1,X2)),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_152]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1792,plain,
% 0.63/0.85 ( member(first(f22(X0,X1,X2)),X1) | ~ member(X0,image(X1,X2)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1791]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_150,plain,
% 0.63/0.85 ( ~ group(X0,X1) | inverse(X0,X1,f39(X0,X1),f40(X0,X1)) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_869_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1787,plain,
% 0.63/0.85 ( ~ group(X0,X1) | inverse(X0,X1,f39(X0,X1),f40(X0,X1)) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_150]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1788,plain,
% 0.63/0.85 ( inverse(X0,X1,f39(X0,X1),f40(X0,X1)) | ~ group(X0,X1) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1787]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_148,plain,
% 0.63/0.85 ( apply_to_two_arguments(X0,f42(X1,X0),f41(X1,X0)) != apply_to_two_arguments(X0,f41(X1,X0),f42(X1,X0))
% 0.63/0.85 | commutes(X1,X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_868_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1783,plain,
% 0.63/0.85 ( apply_to_two_arguments(X0,f42(X1,X0),f41(X1,X0)) != apply_to_two_arguments(X0,f41(X1,X0),f42(X1,X0))
% 0.63/0.85 | commutes(X1,X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_148]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1784,plain,
% 0.63/0.85 ( commutes(X0,X1)
% 0.63/0.85 | apply_to_two_arguments(X1,f42(X0,X1),f41(X0,X1)) != apply_to_two_arguments(X1,f41(X0,X1),f42(X0,X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1783]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_124,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1))
% 0.63/0.85 | member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_863_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1735,plain,
% 0.63/0.85 ( ~ member(X0,flip_range_of(X1))
% 0.63/0.85 | member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_124]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1736,plain,
% 0.63/0.85 ( member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1)
% 0.63/0.85 | ~ member(X0,flip_range_of(X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1735]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_122,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1))
% 0.63/0.85 | member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_862_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1731,plain,
% 0.63/0.85 ( ~ member(X0,rotate_right(X1))
% 0.63/0.85 | member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_122]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1732,plain,
% 0.63/0.85 ( member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1)
% 0.63/0.85 | ~ member(X0,rotate_right(X1)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1731]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_105,plain,
% 0.63/0.85 ( ~ inverse(X0,X1,X2,X3) | maps(X3,X0,X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_858_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1697,plain,
% 0.63/0.85 ( ~ inverse(X0,X1,X2,X3) | maps(X3,X0,X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_105]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1698,plain,
% 0.63/0.85 ( maps(X0,X1,X1) | ~ inverse(X1,X2,X3,X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1697]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_87,plain,
% 0.63/0.85 ( ~ inverse(X0,X1,X2,X3)
% 0.63/0.85 | ~ member(X4,X0)
% 0.63/0.85 | apply_to_two_arguments(X1,X4,apply(X3,X4)) = X2 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_854_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1661,plain,
% 0.63/0.85 ( ~ inverse(X0,X1,X2,X3)
% 0.63/0.85 | ~ member(X4,X0)
% 0.63/0.85 | apply_to_two_arguments(X1,X4,apply(X3,X4)) = X2 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_87]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_84,plain,
% 0.63/0.85 ( ~ inverse(X0,X1,X2,X3)
% 0.63/0.85 | ~ member(X4,X0)
% 0.63/0.85 | apply_to_two_arguments(X1,apply(X3,X4),X4) = X2 ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_853_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1655,plain,
% 0.63/0.85 ( ~ inverse(X0,X1,X2,X3)
% 0.63/0.85 | ~ member(X4,X0)
% 0.63/0.85 | apply_to_two_arguments(X1,apply(X3,X4),X4) = X2 ),
% 0.63/0.85 inference(copy,[status(esa)],[c_84]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_82,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2))
% 0.63/0.85 | member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_852_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1651,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2))
% 0.63/0.85 | member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_82]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1652,plain,
% 0.63/0.85 ( member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2)
% 0.63/0.85 | ~ member(X0,compose(X1,X2)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1651]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_80,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2))
% 0.63/0.85 | member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_851_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1647,plain,
% 0.63/0.85 ( ~ member(X0,compose(X1,X2))
% 0.63/0.85 | member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_80]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1648,plain,
% 0.63/0.85 ( member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1)
% 0.63/0.85 | ~ member(X0,compose(X1,X2)) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1647]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_59,plain,
% 0.63/0.85 ( ~ member(X0,X1)
% 0.63/0.85 | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0)
% 0.63/0.85 | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 0.63/0.85 | identity(X1,X2,X0) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_847_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1605,plain,
% 0.63/0.85 ( ~ member(X0,X1)
% 0.63/0.85 | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0)
% 0.63/0.85 | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 0.63/0.85 | identity(X1,X2,X0) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_59]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1606,plain,
% 0.63/0.85 ( ~ member(X0,X1)
% 0.63/0.85 | identity(X1,X2,X0)
% 0.63/0.85 | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 0.63/0.85 | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0) ),
% 0.63/0.85 inference(rewriting,[status(thm)],[c_1605]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_51,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X1) | inverse(X1,X2,X3,X0) | member(f38(X1,X2,X3,X0),X1) ),
% 0.63/0.85 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_845_0) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_1589,plain,
% 0.63/0.85 ( ~ maps(X0,X1,X1) | inverse(X1,X2,X3,X0) | member(f38(X1,X2,X3,X0),X1) ),
% 0.63/0.85 inference(copy,[status(esa)],[c_51]) ).
% 0.63/0.85
% 0.63/0.85 cnf(c_49,plain,
% 0.63/0.85 ( 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)))
% 0.63/0.86 | associative(X1,X0) ),
% 0.63/0.86 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_844_0) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_1585,plain,
% 0.63/0.86 ( 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)))
% 0.63/0.86 | associative(X1,X0) ),
% 0.63/0.86 inference(copy,[status(esa)],[c_49]) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_1586,plain,
% 0.63/0.86 ( associative(X0,X1)
% 0.63/0.86 | 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))) ),
% 0.63/0.86 inference(rewriting,[status(thm)],[c_1585]) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_27,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X3,X4) ),
% 0.63/0.86 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_839_0) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_1541,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X3,X4) ),
% 0.63/0.86 inference(copy,[status(esa)],[c_27]) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_25,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X1,X2) ),
% 0.63/0.86 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_838_0) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_1537,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4) | closed(X1,X2) ),
% 0.63/0.86 inference(copy,[status(esa)],[c_25]) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_23,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4) | maps(X0,X1,X3) ),
% 0.63/0.86 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_837_0) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_1533,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4) | maps(X0,X1,X3) ),
% 0.63/0.86 inference(copy,[status(esa)],[c_23]) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_19,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.63/0.86 | ~ member(X5,X1)
% 0.63/0.86 | ~ member(X6,X1)
% 0.63/0.86 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6)) ),
% 0.63/0.86 file('/export/starexec/sandbox2/tmp/iprover_modulo_055df7.p', c_0_836_0) ).
% 0.63/0.86
% 0.63/0.86 cnf(c_1525,plain,
% 0.63/0.86 ( ~ homomorphism(X0,X1,X2,X3,X4)
% 0.63/0.86 | ~ member(X5,X1)
% 0.63/0.86 | ~ member(X6,X1)
% 0.63/0.86 | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6)) ),
% 0.63/0.86 inference(copy,[status(esa)],[c_19]) ).
% 0.63/0.86
% 0.63/0.86
% 0.63/0.86
% 0.63/0.86 % ------ Statistics
% 0.63/0.86
% 0.63/0.86 % ------ General
% 0.63/0.86
% 0.63/0.86 % num_of_input_clauses: 637
% 0.63/0.86 % num_of_input_neg_conjectures: 1
% 0.63/0.86 % num_of_splits: 0
% 0.63/0.86 % num_of_split_atoms: 0
% 0.63/0.86 % num_of_sem_filtered_clauses: 0
% 0.63/0.86 % num_of_subtypes: 0
% 0.63/0.86 % monotx_restored_types: 0
% 0.63/0.86 % sat_num_of_epr_types: 0
% 0.63/0.86 % sat_num_of_non_cyclic_types: 0
% 0.63/0.86 % sat_guarded_non_collapsed_types: 0
% 0.63/0.86 % is_epr: 0
% 0.63/0.86 % is_horn: 0
% 0.63/0.86 % has_eq: 1
% 0.63/0.86 % num_pure_diseq_elim: 0
% 0.63/0.86 % simp_replaced_by: 0
% 0.63/0.86 % res_preprocessed: 2
% 0.63/0.86 % prep_upred: 0
% 0.63/0.86 % prep_unflattend: 0
% 0.63/0.86 % pred_elim_cands: 0
% 0.63/0.86 % pred_elim: 0
% 0.63/0.86 % pred_elim_cl: 0
% 0.63/0.86 % pred_elim_cycles: 0
% 0.63/0.86 % forced_gc_time: 0
% 0.63/0.86 % gc_basic_clause_elim: 0
% 0.63/0.86 % parsing_time: 0.031
% 0.63/0.86 % sem_filter_time: 0.
% 0.63/0.86 % pred_elim_time: 0.
% 0.63/0.86 % out_proof_time: 0.
% 0.63/0.86 % monotx_time: 0.
% 0.63/0.86 % subtype_inf_time: 0.
% 0.63/0.86 % unif_index_cands_time: 0.
% 0.63/0.86 % unif_index_add_time: 0.
% 0.63/0.86 % total_time: 0.376
% 0.63/0.86 % num_of_symbols: 135
% 0.63/0.86 % num_of_terms: 1742
% 0.63/0.86
% 0.63/0.86 % ------ Propositional Solver
% 0.63/0.86
% 0.63/0.86 % prop_solver_calls: 1
% 0.63/0.86 % prop_fast_solver_calls: 3
% 0.63/0.86 % prop_num_of_clauses: 495
% 0.63/0.86 % prop_preprocess_simplified: 2053
% 0.63/0.86 % prop_fo_subsumed: 0
% 0.63/0.86 % prop_solver_time: 0.
% 0.63/0.86 % prop_fast_solver_time: 0.
% 0.63/0.86 % prop_unsat_core_time: 0.
% 0.63/0.86
% 0.63/0.86 % ------ QBF
% 0.63/0.86
% 0.63/0.86 % qbf_q_res: 0
% 0.63/0.86 % qbf_num_tautologies: 0
% 0.63/0.86 % qbf_prep_cycles: 0
% 0.63/0.86
% 0.63/0.86 % ------ BMC1
% 0.63/0.86
% 0.63/0.86 % bmc1_current_bound: -1
% 0.63/0.86 % bmc1_last_solved_bound: -1
% 0.63/0.86 % bmc1_unsat_core_size: -1
% 0.63/0.86 % bmc1_unsat_core_parents_size: -1
% 0.63/0.86 % bmc1_merge_next_fun: 0
% 0.63/0.86 % bmc1_unsat_core_clauses_time: 0.
% 0.63/0.86
% 0.63/0.86 % ------ Instantiation
% 0.63/0.86
% 0.63/0.86 % inst_num_of_clauses: 637
% 0.63/0.86 % inst_num_in_passive: 0
% 0.63/0.86 % inst_num_in_active: 0
% 0.63/0.86 % inst_num_in_unprocessed: 637
% 0.63/0.86 % inst_num_of_loops: 0
% 0.63/0.86 % inst_num_of_learning_restarts: 0
% 0.63/0.86 % inst_num_moves_active_passive: 0
% 0.63/0.86 % inst_lit_activity: 0
% 0.63/0.86 % inst_lit_activity_moves: 0
% 0.63/0.86 % inst_num_tautologies: 0
% 0.63/0.86 % inst_num_prop_implied: 0
% 0.63/0.86 % inst_num_existing_simplified: 0
% 0.63/0.86 % inst_num_eq_res_simplified: 0
% 0.63/0.86 % inst_num_child_elim: 0
% 0.63/0.86 % inst_num_of_dismatching_blockings: 0
% 0.63/0.86 % inst_num_of_non_proper_insts: 0
% 0.63/0.86 % inst_num_of_duplicates: 0
% 0.63/0.86 % inst_inst_num_from_inst_to_res: 0
% 0.63/0.86 % inst_dismatching_checking_time: 0.
% 0.63/0.86
% 0.63/0.86 % ------ Resolution
% 0.63/0.86
% 0.63/0.86 % res_num_of_clauses: 741
% 0.63/0.86 % res_num_in_passive: 0
% 0.63/0.86 % res_num_in_active: 251
% 0.63/0.86 % res_num_of_loops: 2
% 0.63/0.86 % res_forward_subset_subsumed: 380
% 0.63/0.86 % res_backward_subset_subsumed: 0
% 0.63/0.86 % res_forward_subsumed: 0
% 0.63/0.86 % res_backward_subsumed: 0
% 0.63/0.86 % res_forward_subsumption_resolution: 0
% 0.63/0.86 % res_backward_subsumption_resolution: 0
% 0.63/0.86 % res_clause_to_clause_subsumption: 0
% 0.63/0.86 % res_orphan_elimination: 0
% 0.63/0.86 % res_tautology_del: 0
% 0.63/0.86 % res_num_eq_res_simplified: 0
% 0.63/0.86 % res_num_sel_changes: 0
% 0.63/0.86 % res_moves_from_active_to_pass: 0
% 0.63/0.86
% 0.63/0.86 % Status Unknown
% 0.69/0.94 % Orienting using strategy ClausalAll
% 0.69/0.94 % Orientation found
% 0.69/0.94 % 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_26e0d3.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_055df7.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_3cd40b | grep -v "SZS"
% 0.77/0.97
% 0.77/0.97 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.77/0.97
% 0.77/0.97 %
% 0.77/0.97 % ------ iProver source info
% 0.77/0.97
% 0.77/0.97 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.77/0.97 % git: non_committed_changes: true
% 0.77/0.97 % git: last_make_outside_of_git: true
% 0.77/0.97
% 0.77/0.97 %
% 0.77/0.97 % ------ Input Options
% 0.77/0.97
% 0.77/0.97 % --out_options all
% 0.77/0.97 % --tptp_safe_out true
% 0.77/0.97 % --problem_path ""
% 0.77/0.97 % --include_path ""
% 0.77/0.97 % --clausifier .//eprover
% 0.77/0.97 % --clausifier_options --tstp-format
% 0.77/0.97 % --stdin false
% 0.77/0.97 % --dbg_backtrace false
% 0.77/0.97 % --dbg_dump_prop_clauses false
% 0.77/0.97 % --dbg_dump_prop_clauses_file -
% 0.77/0.97 % --dbg_out_stat false
% 0.77/0.97
% 0.77/0.97 % ------ General Options
% 0.77/0.97
% 0.77/0.97 % --fof false
% 0.77/0.97 % --time_out_real 150.
% 0.77/0.97 % --time_out_prep_mult 0.2
% 0.77/0.97 % --time_out_virtual -1.
% 0.77/0.97 % --schedule none
% 0.77/0.97 % --ground_splitting input
% 0.77/0.97 % --splitting_nvd 16
% 0.77/0.97 % --non_eq_to_eq false
% 0.77/0.97 % --prep_gs_sim true
% 0.77/0.97 % --prep_unflatten false
% 0.77/0.97 % --prep_res_sim true
% 0.77/0.97 % --prep_upred true
% 0.77/0.97 % --res_sim_input true
% 0.77/0.97 % --clause_weak_htbl true
% 0.77/0.97 % --gc_record_bc_elim false
% 0.77/0.97 % --symbol_type_check false
% 0.77/0.97 % --clausify_out false
% 0.77/0.97 % --large_theory_mode false
% 0.77/0.97 % --prep_sem_filter none
% 0.77/0.97 % --prep_sem_filter_out false
% 0.77/0.97 % --preprocessed_out false
% 0.77/0.97 % --sub_typing false
% 0.77/0.97 % --brand_transform false
% 0.77/0.97 % --pure_diseq_elim true
% 0.77/0.97 % --min_unsat_core false
% 0.77/0.97 % --pred_elim true
% 0.77/0.97 % --add_important_lit false
% 0.77/0.97 % --soft_assumptions false
% 0.77/0.97 % --reset_solvers false
% 0.77/0.97 % --bc_imp_inh []
% 0.77/0.97 % --conj_cone_tolerance 1.5
% 0.77/0.97 % --prolific_symb_bound 500
% 0.77/0.97 % --lt_threshold 2000
% 0.77/0.97
% 0.77/0.97 % ------ SAT Options
% 0.77/0.97
% 0.77/0.97 % --sat_mode false
% 0.77/0.97 % --sat_fm_restart_options ""
% 0.77/0.97 % --sat_gr_def false
% 0.77/0.97 % --sat_epr_types true
% 0.77/0.97 % --sat_non_cyclic_types false
% 0.77/0.97 % --sat_finite_models false
% 0.77/0.97 % --sat_fm_lemmas false
% 0.77/0.97 % --sat_fm_prep false
% 0.77/0.97 % --sat_fm_uc_incr true
% 0.77/0.97 % --sat_out_model small
% 0.77/0.97 % --sat_out_clauses false
% 0.77/0.97
% 0.77/0.97 % ------ QBF Options
% 0.77/0.97
% 0.77/0.97 % --qbf_mode false
% 0.77/0.97 % --qbf_elim_univ true
% 0.77/0.97 % --qbf_sk_in true
% 0.77/0.97 % --qbf_pred_elim true
% 0.77/0.97 % --qbf_split 32
% 0.77/0.97
% 0.77/0.97 % ------ BMC1 Options
% 0.77/0.97
% 0.77/0.97 % --bmc1_incremental false
% 0.77/0.97 % --bmc1_axioms reachable_all
% 0.77/0.97 % --bmc1_min_bound 0
% 0.77/0.97 % --bmc1_max_bound -1
% 0.77/0.97 % --bmc1_max_bound_default -1
% 0.77/0.97 % --bmc1_symbol_reachability true
% 0.77/0.97 % --bmc1_property_lemmas false
% 0.77/0.97 % --bmc1_k_induction false
% 0.77/0.97 % --bmc1_non_equiv_states false
% 0.77/0.97 % --bmc1_deadlock false
% 0.77/0.97 % --bmc1_ucm false
% 0.77/0.97 % --bmc1_add_unsat_core none
% 0.77/0.97 % --bmc1_unsat_core_children false
% 0.77/0.97 % --bmc1_unsat_core_extrapolate_axioms false
% 0.77/0.97 % --bmc1_out_stat full
% 0.77/0.97 % --bmc1_ground_init false
% 0.77/0.97 % --bmc1_pre_inst_next_state false
% 0.77/0.97 % --bmc1_pre_inst_state false
% 0.77/0.97 % --bmc1_pre_inst_reach_state false
% 0.77/0.97 % --bmc1_out_unsat_core false
% 0.77/0.97 % --bmc1_aig_witness_out false
% 0.77/0.97 % --bmc1_verbose false
% 0.77/0.97 % --bmc1_dump_clauses_tptp false
% 0.94/1.29 % --bmc1_dump_unsat_core_tptp false
% 0.94/1.29 % --bmc1_dump_file -
% 0.94/1.29 % --bmc1_ucm_expand_uc_limit 128
% 0.94/1.29 % --bmc1_ucm_n_expand_iterations 6
% 0.94/1.29 % --bmc1_ucm_extend_mode 1
% 0.94/1.29 % --bmc1_ucm_init_mode 2
% 0.94/1.29 % --bmc1_ucm_cone_mode none
% 0.94/1.29 % --bmc1_ucm_reduced_relation_type 0
% 0.94/1.29 % --bmc1_ucm_relax_model 4
% 0.94/1.29 % --bmc1_ucm_full_tr_after_sat true
% 0.94/1.29 % --bmc1_ucm_expand_neg_assumptions false
% 0.94/1.29 % --bmc1_ucm_layered_model none
% 0.94/1.29 % --bmc1_ucm_max_lemma_size 10
% 0.94/1.29
% 0.94/1.29 % ------ AIG Options
% 0.94/1.29
% 0.94/1.29 % --aig_mode false
% 0.94/1.29
% 0.94/1.29 % ------ Instantiation Options
% 0.94/1.29
% 0.94/1.29 % --instantiation_flag true
% 0.94/1.29 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.94/1.29 % --inst_solver_per_active 750
% 0.94/1.29 % --inst_solver_calls_frac 0.5
% 0.94/1.29 % --inst_passive_queue_type priority_queues
% 0.94/1.29 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.94/1.29 % --inst_passive_queues_freq [25;2]
% 0.94/1.29 % --inst_dismatching true
% 0.94/1.29 % --inst_eager_unprocessed_to_passive true
% 0.94/1.29 % --inst_prop_sim_given true
% 0.94/1.29 % --inst_prop_sim_new false
% 0.94/1.29 % --inst_orphan_elimination true
% 0.94/1.29 % --inst_learning_loop_flag true
% 0.94/1.29 % --inst_learning_start 3000
% 0.94/1.29 % --inst_learning_factor 2
% 0.94/1.29 % --inst_start_prop_sim_after_learn 3
% 0.94/1.29 % --inst_sel_renew solver
% 0.94/1.29 % --inst_lit_activity_flag true
% 0.94/1.29 % --inst_out_proof true
% 0.94/1.29
% 0.94/1.29 % ------ Resolution Options
% 0.94/1.29
% 0.94/1.29 % --resolution_flag true
% 0.94/1.29 % --res_lit_sel kbo_max
% 0.94/1.29 % --res_to_prop_solver none
% 0.94/1.29 % --res_prop_simpl_new false
% 0.94/1.29 % --res_prop_simpl_given false
% 0.94/1.29 % --res_passive_queue_type priority_queues
% 0.94/1.29 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.94/1.29 % --res_passive_queues_freq [15;5]
% 0.94/1.29 % --res_forward_subs full
% 0.94/1.29 % --res_backward_subs full
% 0.94/1.29 % --res_forward_subs_resolution true
% 0.94/1.29 % --res_backward_subs_resolution true
% 0.94/1.29 % --res_orphan_elimination false
% 0.94/1.29 % --res_time_limit 1000.
% 0.94/1.29 % --res_out_proof true
% 0.94/1.29 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_26e0d3.s
% 0.94/1.29 % --modulo true
% 0.94/1.29
% 0.94/1.29 % ------ Combination Options
% 0.94/1.29
% 0.94/1.29 % --comb_res_mult 1000
% 0.94/1.29 % --comb_inst_mult 300
% 0.94/1.29 % ------
% 0.94/1.29
% 0.94/1.29 % ------ Parsing...% successful
% 0.94/1.29
% 0.94/1.29 % ------ 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 %
% 0.94/1.29
% 0.94/1.29 % ------ Proving...
% 0.94/1.29 % ------ Problem Properties
% 0.94/1.29
% 0.94/1.29 %
% 0.94/1.29 % EPR false
% 0.94/1.29 % Horn false
% 0.94/1.29 % Has equality true
% 0.94/1.29
% 0.94/1.29 % % ------ Input Options Time Limit: Unbounded
% 0.94/1.29
% 0.94/1.29
% 0.94/1.29 Compiling...
% 0.94/1.29 Loading plugin: done.
% 0.94/1.29 Compiling...
% 0.94/1.29 Loading plugin: done.
% 0.94/1.29 % % ------ Current options:
% 0.94/1.29
% 0.94/1.29 % ------ Input Options
% 0.94/1.29
% 0.94/1.29 % --out_options all
% 0.94/1.29 % --tptp_safe_out true
% 0.94/1.29 % --problem_path ""
% 0.94/1.29 % --include_path ""
% 0.94/1.29 % --clausifier .//eprover
% 0.94/1.29 % --clausifier_options --tstp-format
% 0.94/1.29 % --stdin false
% 0.94/1.29 % --dbg_backtrace false
% 0.94/1.29 % --dbg_dump_prop_clauses false
% 0.94/1.29 % --dbg_dump_prop_clauses_file -
% 0.94/1.29 % --dbg_out_stat false
% 0.94/1.29
% 0.94/1.29 % ------ General Options
% 0.94/1.29
% 0.94/1.29 % --fof false
% 0.94/1.29 % --time_out_real 150.
% 0.94/1.29 % --time_out_prep_mult 0.2
% 0.94/1.29 % --time_out_virtual -1.
% 0.94/1.29 % --schedule none
% 0.94/1.29 % --ground_splitting input
% 0.94/1.29 % --splitting_nvd 16
% 0.94/1.29 % --non_eq_to_eq false
% 0.94/1.29 % --prep_gs_sim true
% 0.94/1.29 % --prep_unflatten false
% 0.94/1.29 % --prep_res_sim true
% 0.94/1.29 % --prep_upred true
% 0.94/1.29 % --res_sim_input true
% 0.94/1.29 % --clause_weak_htbl true
% 0.94/1.29 % --gc_record_bc_elim false
% 0.94/1.29 % --symbol_type_check false
% 0.94/1.29 % --clausify_out false
% 0.94/1.29 % --large_theory_mode false
% 0.94/1.29 % --prep_sem_filter none
% 0.94/1.29 % --prep_sem_filter_out false
% 0.94/1.29 % --preprocessed_out false
% 0.94/1.29 % --sub_typing false
% 0.94/1.29 % --brand_transform false
% 0.94/1.29 % --pure_diseq_elim true
% 0.94/1.29 % --min_unsat_core false
% 0.94/1.29 % --pred_elim true
% 0.94/1.29 % --add_important_lit false
% 0.94/1.29 % --soft_assumptions false
% 0.94/1.29 % --reset_solvers false
% 0.94/1.29 % --bc_imp_inh []
% 0.94/1.29 % --conj_cone_tolerance 1.5
% 0.94/1.29 % --prolific_symb_bound 500
% 0.94/1.29 % --lt_threshold 2000
% 0.94/1.29
% 0.94/1.29 % ------ SAT Options
% 0.94/1.29
% 0.94/1.29 % --sat_mode false
% 0.94/1.29 % --sat_fm_restart_options ""
% 0.94/1.29 % --sat_gr_def false
% 0.94/1.29 % --sat_epr_types true
% 0.94/1.29 % --sat_non_cyclic_types false
% 0.94/1.29 % --sat_finite_models false
% 0.94/1.29 % --sat_fm_lemmas false
% 0.94/1.29 % --sat_fm_prep false
% 0.94/1.29 % --sat_fm_uc_incr true
% 0.94/1.29 % --sat_out_model small
% 0.94/1.29 % --sat_out_clauses false
% 0.94/1.29
% 0.94/1.29 % ------ QBF Options
% 0.94/1.29
% 0.94/1.29 % --qbf_mode false
% 0.94/1.29 % --qbf_elim_univ true
% 0.94/1.29 % --qbf_sk_in true
% 0.94/1.29 % --qbf_pred_elim true
% 0.94/1.29 % --qbf_split 32
% 0.94/1.29
% 0.94/1.29 % ------ BMC1 Options
% 0.94/1.29
% 0.94/1.29 % --bmc1_incremental false
% 0.94/1.29 % --bmc1_axioms reachable_all
% 0.94/1.29 % --bmc1_min_bound 0
% 0.94/1.29 % --bmc1_max_bound -1
% 0.94/1.29 % --bmc1_max_bound_default -1
% 0.94/1.29 % --bmc1_symbol_reachability true
% 0.94/1.29 % --bmc1_property_lemmas false
% 0.94/1.29 % --bmc1_k_induction false
% 0.94/1.29 % --bmc1_non_equiv_states false
% 0.94/1.29 % --bmc1_deadlock false
% 0.94/1.29 % --bmc1_ucm false
% 0.94/1.29 % --bmc1_add_unsat_core none
% 0.94/1.29 % --bmc1_unsat_core_children false
% 0.94/1.29 % --bmc1_unsat_core_extrapolate_axioms false
% 0.94/1.29 % --bmc1_out_stat full
% 0.94/1.29 % --bmc1_ground_init false
% 0.94/1.29 % --bmc1_pre_inst_next_state false
% 0.94/1.29 % --bmc1_pre_inst_state false
% 0.94/1.29 % --bmc1_pre_inst_reach_state false
% 0.94/1.29 % --bmc1_out_unsat_core false
% 0.94/1.29 % --bmc1_aig_witness_out false
% 0.94/1.29 % --bmc1_verbose false
% 0.94/1.29 % --bmc1_dump_clauses_tptp false
% 0.94/1.29 % --bmc1_dump_unsat_core_tptp false
% 0.94/1.29 % --bmc1_dump_file -
% 0.94/1.29 % --bmc1_ucm_expand_uc_limit 128
% 0.94/1.29 % --bmc1_ucm_n_expand_iterations 6
% 0.94/1.29 % --bmc1_ucm_extend_mode 1
% 0.94/1.29 % --bmc1_ucm_init_mode 2
% 0.94/1.29 % --bmc1_ucm_cone_mode none
% 0.94/1.29 % --bmc1_ucm_reduced_relation_type 0
% 0.94/1.29 % --bmc1_ucm_relax_model 4
% 0.94/1.29 % --bmc1_ucm_full_tr_after_sat true
% 0.94/1.29 % --bmc1_ucm_expand_neg_assumptions false
% 0.94/1.29 % --bmc1_ucm_layered_model none
% 0.94/1.29 % --bmc1_ucm_max_lemma_size 10
% 0.94/1.29
% 0.94/1.29 % ------ AIG Options
% 0.94/1.29
% 0.94/1.29 % --aig_mode false
% 0.94/1.29
% 0.94/1.29 % ------ Instantiation Options
% 0.94/1.29
% 0.94/1.29 % --instantiation_flag true
% 0.94/1.29 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.94/1.29 % --inst_solver_per_active 750
% 0.94/1.29 % --inst_solver_calls_frac 0.5
% 0.94/1.29 % --inst_passive_queue_type priority_queues
% 0.94/1.29 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.94/1.29 % --inst_passive_queues_freq [25;2]
% 0.94/1.29 % --inst_dismatching true
% 150.74/150.97 % --inst_eager_unprocessed_to_passive true
% 150.74/150.97 % --inst_prop_sim_given true
% 150.74/150.97 % --inst_prop_sim_new false
% 150.74/150.97 % --inst_orphan_elimination true
% 150.74/150.97 % --inst_learning_loop_flag true
% 150.74/150.97 % --inst_learning_start 3000
% 150.74/150.97 % --inst_learning_factor 2
% 150.74/150.97 % --inst_start_prop_sim_after_learn 3
% 150.74/150.97 % --inst_sel_renew solver
% 150.74/150.97 % --inst_lit_activity_flag true
% 150.74/150.97 % --inst_out_proof true
% 150.74/150.97
% 150.74/150.97 % ------ Resolution Options
% 150.74/150.97
% 150.74/150.97 % --resolution_flag true
% 150.74/150.97 % --res_lit_sel kbo_max
% 150.74/150.97 % --res_to_prop_solver none
% 150.74/150.97 % --res_prop_simpl_new false
% 150.74/150.97 % --res_prop_simpl_given false
% 150.74/150.97 % --res_passive_queue_type priority_queues
% 150.74/150.97 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.74/150.97 % --res_passive_queues_freq [15;5]
% 150.74/150.97 % --res_forward_subs full
% 150.74/150.97 % --res_backward_subs full
% 150.74/150.97 % --res_forward_subs_resolution true
% 150.74/150.97 % --res_backward_subs_resolution true
% 150.74/150.97 % --res_orphan_elimination false
% 150.74/150.97 % --res_time_limit 1000.
% 150.74/150.97 % --res_out_proof true
% 150.74/150.97 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_26e0d3.s
% 150.74/150.97 % --modulo true
% 150.74/150.97
% 150.74/150.97 % ------ Combination Options
% 150.74/150.97
% 150.74/150.97 % --comb_res_mult 1000
% 150.74/150.97 % --comb_inst_mult 300
% 150.74/150.97 % ------
% 150.74/150.97
% 150.74/150.97
% 150.74/150.97
% 150.74/150.97 % ------ Proving...
% 150.74/150.97 %
% 150.74/150.97
% 150.74/150.97
% 150.74/150.97 % Time Out Real
% 150.74/150.97
% 150.74/150.97 % ------ Statistics
% 150.74/150.97
% 150.74/150.97 % ------ General
% 150.74/150.97
% 150.74/150.97 % num_of_input_clauses: 637
% 150.74/150.97 % num_of_input_neg_conjectures: 1
% 150.74/150.97 % num_of_splits: 0
% 150.74/150.97 % num_of_split_atoms: 0
% 150.74/150.97 % num_of_sem_filtered_clauses: 0
% 150.74/150.97 % num_of_subtypes: 0
% 150.74/150.97 % monotx_restored_types: 0
% 150.74/150.97 % sat_num_of_epr_types: 0
% 150.74/150.97 % sat_num_of_non_cyclic_types: 0
% 150.74/150.97 % sat_guarded_non_collapsed_types: 0
% 150.74/150.97 % is_epr: 0
% 150.74/150.97 % is_horn: 0
% 150.74/150.97 % has_eq: 1
% 150.74/150.97 % num_pure_diseq_elim: 0
% 150.74/150.97 % simp_replaced_by: 0
% 150.74/150.97 % res_preprocessed: 2
% 150.74/150.97 % prep_upred: 0
% 150.74/150.97 % prep_unflattend: 0
% 150.74/150.97 % pred_elim_cands: 0
% 150.74/150.97 % pred_elim: 0
% 150.74/150.97 % pred_elim_cl: 0
% 150.74/150.97 % pred_elim_cycles: 0
% 150.74/150.97 % forced_gc_time: 0
% 150.74/150.97 % gc_basic_clause_elim: 0
% 150.74/150.97 % parsing_time: 0.032
% 150.74/150.97 % sem_filter_time: 0.
% 150.74/150.97 % pred_elim_time: 0.
% 150.74/150.97 % out_proof_time: 0.
% 150.74/150.97 % monotx_time: 0.
% 150.74/150.97 % subtype_inf_time: 0.
% 150.74/150.97 % unif_index_cands_time: 0.038
% 150.74/150.97 % unif_index_add_time: 0.026
% 150.74/150.97 % total_time: 150.018
% 150.74/150.97 % num_of_symbols: 135
% 150.74/150.97 % num_of_terms: 57854
% 150.74/150.97
% 150.74/150.97 % ------ Propositional Solver
% 150.74/150.97
% 150.74/150.97 % prop_solver_calls: 10
% 150.74/150.97 % prop_fast_solver_calls: 3
% 150.74/150.97 % prop_num_of_clauses: 8277
% 150.74/150.97 % prop_preprocess_simplified: 12445
% 150.74/150.97 % prop_fo_subsumed: 0
% 150.74/150.97 % prop_solver_time: 0.002
% 150.74/150.97 % prop_fast_solver_time: 0.
% 150.74/150.97 % prop_unsat_core_time: 0.
% 150.74/150.97
% 150.74/150.97 % ------ QBF
% 150.74/150.97
% 150.74/150.97 % qbf_q_res: 0
% 150.74/150.97 % qbf_num_tautologies: 0
% 150.74/150.97 % qbf_prep_cycles: 0
% 150.74/150.97
% 150.74/150.97 % ------ BMC1
% 150.74/150.97
% 150.74/150.97 % bmc1_current_bound: -1
% 150.74/150.97 % bmc1_last_solved_bound: -1
% 150.74/150.97 % bmc1_unsat_core_size: -1
% 150.74/150.97 % bmc1_unsat_core_parents_size: -1
% 150.74/150.97 % bmc1_merge_next_fun: 0
% 150.74/150.97 % bmc1_unsat_core_clauses_time: 0.
% 150.74/150.97
% 150.74/150.97 % ------ Instantiation
% 150.74/150.97
% 150.74/150.97 % inst_num_of_clauses: 5384
% 150.74/150.97 % inst_num_in_passive: 4046
% 150.74/150.97 % inst_num_in_active: 1281
% 150.74/150.97 % inst_num_in_unprocessed: 57
% 150.74/150.97 % inst_num_of_loops: 1800
% 150.74/150.97 % inst_num_of_learning_restarts: 0
% 150.74/150.97 % inst_num_moves_active_passive: 517
% 150.74/150.97 % inst_lit_activity: 513
% 150.74/150.97 % inst_lit_activity_moves: 2
% 150.74/150.97 % inst_num_tautologies: 0
% 150.74/150.97 % inst_num_prop_implied: 0
% 150.74/150.97 % inst_num_existing_simplified: 0
% 150.74/150.97 % inst_num_eq_res_simplified: 0
% 150.74/150.97 % inst_num_child_elim: 0
% 150.74/150.97 % inst_num_of_dismatching_blockings: 1824
% 150.74/150.97 % inst_num_of_non_proper_insts: 3311
% 150.74/150.97 % inst_num_of_duplicates: 4909
% 150.74/150.97 % inst_inst_num_from_inst_to_res: 0
% 150.74/150.97 % inst_dismatching_checking_time: 0.01
% 150.74/150.97
% 150.74/150.97 % ------ Resolution
% 150.74/150.97
% 150.74/150.97 % res_num_of_clauses: 15904
% 150.74/150.97 % res_num_in_passive: 10097
% 150.74/150.97 % res_num_in_active: 5319
% 150.74/150.97 % res_num_of_loops: 6672
% 150.74/150.97 % res_forward_subset_subsumed: 2543
% 150.74/150.97 % res_backward_subset_subsumed: 2
% 150.74/150.97 % res_forward_subsumed: 1602
% 150.74/150.97 % res_backward_subsumed: 0
% 150.74/150.97 % res_forward_subsumption_resolution: 2056
% 150.74/150.97 % res_backward_subsumption_resolution: 0
% 150.74/150.97 % res_clause_to_clause_subsumption: 447868
% 150.74/150.97 % res_orphan_elimination: 0
% 150.74/150.97 % res_tautology_del: 26
% 150.74/150.97 % res_num_eq_res_simplified: 0
% 150.74/150.97 % res_num_sel_changes: 0
% 150.74/150.97 % res_moves_from_active_to_pass: 0
% 150.74/150.97
% 150.74/150.97 % Status Unknown
% 150.74/150.97 % Last status :
% 150.74/150.97 % SZS status Unknown
%------------------------------------------------------------------------------