TSTP Solution File: LCL750-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL750-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n024.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 : Sun Jul 17 11:38:58 EDT 2022
% Result : Unknown 153.37s 153.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL750-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 2 13:09:00 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.20/0.53 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.53 % Orientation found
% 0.20/0.53 % 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/sandbox/tmp/iprover_proof_4502a9.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_403ff5.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0b1a1d | grep -v "SZS"
% 0.20/0.55
% 0.20/0.55 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.55
% 0.20/0.55 %
% 0.20/0.55 % ------ iProver source info
% 0.20/0.55
% 0.20/0.55 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.55 % git: non_committed_changes: true
% 0.20/0.55 % git: last_make_outside_of_git: true
% 0.20/0.55
% 0.20/0.55 %
% 0.20/0.55 % ------ Input Options
% 0.20/0.55
% 0.20/0.55 % --out_options all
% 0.20/0.55 % --tptp_safe_out true
% 0.20/0.55 % --problem_path ""
% 0.20/0.55 % --include_path ""
% 0.20/0.55 % --clausifier .//eprover
% 0.20/0.55 % --clausifier_options --tstp-format
% 0.20/0.55 % --stdin false
% 0.20/0.55 % --dbg_backtrace false
% 0.20/0.55 % --dbg_dump_prop_clauses false
% 0.20/0.55 % --dbg_dump_prop_clauses_file -
% 0.20/0.55 % --dbg_out_stat false
% 0.20/0.55
% 0.20/0.55 % ------ General Options
% 0.20/0.55
% 0.20/0.55 % --fof false
% 0.20/0.55 % --time_out_real 150.
% 0.20/0.55 % --time_out_prep_mult 0.2
% 0.20/0.55 % --time_out_virtual -1.
% 0.20/0.55 % --schedule none
% 0.20/0.55 % --ground_splitting input
% 0.20/0.56 % --splitting_nvd 16
% 0.20/0.56 % --non_eq_to_eq false
% 0.20/0.56 % --prep_gs_sim true
% 0.20/0.56 % --prep_unflatten false
% 0.20/0.56 % --prep_res_sim true
% 0.20/0.56 % --prep_upred true
% 0.20/0.56 % --res_sim_input true
% 0.20/0.56 % --clause_weak_htbl true
% 0.20/0.56 % --gc_record_bc_elim false
% 0.20/0.56 % --symbol_type_check false
% 0.20/0.56 % --clausify_out false
% 0.20/0.56 % --large_theory_mode false
% 0.20/0.56 % --prep_sem_filter none
% 0.20/0.56 % --prep_sem_filter_out false
% 0.20/0.56 % --preprocessed_out false
% 0.20/0.56 % --sub_typing false
% 0.20/0.56 % --brand_transform false
% 0.20/0.56 % --pure_diseq_elim true
% 0.20/0.56 % --min_unsat_core false
% 0.20/0.56 % --pred_elim true
% 0.20/0.56 % --add_important_lit false
% 0.20/0.56 % --soft_assumptions false
% 0.20/0.56 % --reset_solvers false
% 0.20/0.56 % --bc_imp_inh []
% 0.20/0.56 % --conj_cone_tolerance 1.5
% 0.20/0.56 % --prolific_symb_bound 500
% 0.20/0.56 % --lt_threshold 2000
% 0.20/0.56
% 0.20/0.56 % ------ SAT Options
% 0.20/0.56
% 0.20/0.56 % --sat_mode false
% 0.20/0.56 % --sat_fm_restart_options ""
% 0.20/0.56 % --sat_gr_def false
% 0.20/0.56 % --sat_epr_types true
% 0.20/0.56 % --sat_non_cyclic_types false
% 0.20/0.56 % --sat_finite_models false
% 0.20/0.56 % --sat_fm_lemmas false
% 0.20/0.56 % --sat_fm_prep false
% 0.20/0.56 % --sat_fm_uc_incr true
% 0.20/0.56 % --sat_out_model small
% 0.20/0.56 % --sat_out_clauses false
% 0.20/0.56
% 0.20/0.56 % ------ QBF Options
% 0.20/0.56
% 0.20/0.56 % --qbf_mode false
% 0.20/0.56 % --qbf_elim_univ true
% 0.20/0.56 % --qbf_sk_in true
% 0.20/0.56 % --qbf_pred_elim true
% 0.20/0.56 % --qbf_split 32
% 0.20/0.56
% 0.20/0.56 % ------ BMC1 Options
% 0.20/0.56
% 0.20/0.56 % --bmc1_incremental false
% 0.20/0.56 % --bmc1_axioms reachable_all
% 0.20/0.56 % --bmc1_min_bound 0
% 0.20/0.56 % --bmc1_max_bound -1
% 0.20/0.56 % --bmc1_max_bound_default -1
% 0.20/0.56 % --bmc1_symbol_reachability true
% 0.20/0.56 % --bmc1_property_lemmas false
% 0.20/0.56 % --bmc1_k_induction false
% 0.20/0.56 % --bmc1_non_equiv_states false
% 0.20/0.56 % --bmc1_deadlock false
% 0.20/0.56 % --bmc1_ucm false
% 0.20/0.56 % --bmc1_add_unsat_core none
% 0.20/0.56 % --bmc1_unsat_core_children false
% 0.20/0.56 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.56 % --bmc1_out_stat full
% 0.20/0.56 % --bmc1_ground_init false
% 0.20/0.56 % --bmc1_pre_inst_next_state false
% 0.20/0.56 % --bmc1_pre_inst_state false
% 0.20/0.56 % --bmc1_pre_inst_reach_state false
% 0.20/0.56 % --bmc1_out_unsat_core false
% 0.20/0.56 % --bmc1_aig_witness_out false
% 0.20/0.56 % --bmc1_verbose false
% 0.20/0.56 % --bmc1_dump_clauses_tptp false
% 3.00/3.37 % --bmc1_dump_unsat_core_tptp false
% 3.00/3.37 % --bmc1_dump_file -
% 3.00/3.37 % --bmc1_ucm_expand_uc_limit 128
% 3.00/3.37 % --bmc1_ucm_n_expand_iterations 6
% 3.00/3.37 % --bmc1_ucm_extend_mode 1
% 3.00/3.37 % --bmc1_ucm_init_mode 2
% 3.00/3.37 % --bmc1_ucm_cone_mode none
% 3.00/3.37 % --bmc1_ucm_reduced_relation_type 0
% 3.00/3.37 % --bmc1_ucm_relax_model 4
% 3.00/3.37 % --bmc1_ucm_full_tr_after_sat true
% 3.00/3.37 % --bmc1_ucm_expand_neg_assumptions false
% 3.00/3.37 % --bmc1_ucm_layered_model none
% 3.00/3.37 % --bmc1_ucm_max_lemma_size 10
% 3.00/3.37
% 3.00/3.37 % ------ AIG Options
% 3.00/3.37
% 3.00/3.37 % --aig_mode false
% 3.00/3.37
% 3.00/3.37 % ------ Instantiation Options
% 3.00/3.37
% 3.00/3.37 % --instantiation_flag true
% 3.00/3.37 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.00/3.37 % --inst_solver_per_active 750
% 3.00/3.37 % --inst_solver_calls_frac 0.5
% 3.00/3.37 % --inst_passive_queue_type priority_queues
% 3.00/3.37 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.00/3.37 % --inst_passive_queues_freq [25;2]
% 3.00/3.37 % --inst_dismatching true
% 3.00/3.37 % --inst_eager_unprocessed_to_passive true
% 3.00/3.37 % --inst_prop_sim_given true
% 3.00/3.37 % --inst_prop_sim_new false
% 3.00/3.37 % --inst_orphan_elimination true
% 3.00/3.37 % --inst_learning_loop_flag true
% 3.00/3.37 % --inst_learning_start 3000
% 3.00/3.37 % --inst_learning_factor 2
% 3.00/3.37 % --inst_start_prop_sim_after_learn 3
% 3.00/3.37 % --inst_sel_renew solver
% 3.00/3.37 % --inst_lit_activity_flag true
% 3.00/3.37 % --inst_out_proof true
% 3.00/3.37
% 3.00/3.37 % ------ Resolution Options
% 3.00/3.37
% 3.00/3.37 % --resolution_flag true
% 3.00/3.37 % --res_lit_sel kbo_max
% 3.00/3.37 % --res_to_prop_solver none
% 3.00/3.37 % --res_prop_simpl_new false
% 3.00/3.37 % --res_prop_simpl_given false
% 3.00/3.37 % --res_passive_queue_type priority_queues
% 3.00/3.37 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.00/3.37 % --res_passive_queues_freq [15;5]
% 3.00/3.37 % --res_forward_subs full
% 3.00/3.37 % --res_backward_subs full
% 3.00/3.37 % --res_forward_subs_resolution true
% 3.00/3.37 % --res_backward_subs_resolution true
% 3.00/3.37 % --res_orphan_elimination false
% 3.00/3.37 % --res_time_limit 1000.
% 3.00/3.37 % --res_out_proof true
% 3.00/3.37 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4502a9.s
% 3.00/3.37 % --modulo true
% 3.00/3.37
% 3.00/3.37 % ------ Combination Options
% 3.00/3.37
% 3.00/3.37 % --comb_res_mult 1000
% 3.00/3.37 % --comb_inst_mult 300
% 3.00/3.37 % ------
% 3.00/3.37
% 3.00/3.37 % ------ Parsing...% successful
% 3.00/3.37
% 3.00/3.37 % ------ 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 %
% 3.00/3.37
% 3.00/3.37 % ------ Proving...
% 3.00/3.37 % ------ Problem Properties
% 3.00/3.37
% 3.00/3.37 %
% 3.00/3.37 % EPR false
% 3.00/3.37 % Horn false
% 3.00/3.37 % Has equality true
% 3.00/3.37
% 3.00/3.37 % % ------ Input Options Time Limit: Unbounded
% 3.00/3.37
% 3.00/3.37
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 Compiling...
% 3.00/3.37 Loading plugin: done.
% 3.00/3.37 % % ------ Current options:
% 3.00/3.37
% 3.00/3.37 % ------ Input Options
% 3.00/3.37
% 3.00/3.37 % --out_options all
% 3.00/3.37 % --tptp_safe_out true
% 3.00/3.37 % --problem_path ""
% 3.00/3.37 % --include_path ""
% 3.00/3.37 % --clausifier .//eprover
% 3.00/3.37 % --clausifier_options --tstp-format
% 3.00/3.37 % --stdin false
% 3.00/3.37 % --dbg_backtrace false
% 3.00/3.37 % --dbg_dump_prop_clauses false
% 3.00/3.37 % --dbg_dump_prop_clauses_file -
% 3.00/3.37 % --dbg_out_stat false
% 3.00/3.37
% 3.00/3.37 % ------ General Options
% 3.00/3.37
% 3.00/3.37 % --fof false
% 3.00/3.37 % --time_out_real 150.
% 3.00/3.37 % --time_out_prep_mult 0.2
% 3.00/3.37 % --time_out_virtual -1.
% 3.00/3.37 % --schedule none
% 3.00/3.37 % --ground_splitting input
% 3.00/3.37 % --splitting_nvd 16
% 3.00/3.37 % --non_eq_to_eq false
% 3.00/3.37 % --prep_gs_sim true
% 3.00/3.37 % --prep_unflatten false
% 3.00/3.37 % --prep_res_sim true
% 3.00/3.37 % --prep_upred true
% 3.00/3.37 % --res_sim_input true
% 3.00/3.37 % --clause_weak_htbl true
% 3.00/3.37 % --gc_record_bc_elim false
% 3.00/3.37 % --symbol_type_check false
% 3.00/3.37 % --clausify_out false
% 3.00/3.37 % --large_theory_mode false
% 3.00/3.37 % --prep_sem_filter none
% 3.00/3.37 % --prep_sem_filter_out false
% 3.00/3.37 % --preprocessed_out false
% 3.00/3.37 % --sub_typing false
% 3.00/3.37 % --brand_transform false
% 3.00/3.37 % --pure_diseq_elim true
% 3.00/3.37 % --min_unsat_core false
% 3.00/3.37 % --pred_elim true
% 3.00/3.37 % --add_important_lit false
% 3.00/3.37 % --soft_assumptions false
% 3.00/3.37 % --reset_solvers false
% 3.00/3.37 % --bc_imp_inh []
% 3.00/3.37 % --conj_cone_tolerance 1.5
% 3.00/3.37 % --prolific_symb_bound 500
% 3.00/3.37 % --lt_threshold 2000
% 3.00/3.37
% 3.00/3.37 % ------ SAT Options
% 3.00/3.37
% 3.00/3.37 % --sat_mode false
% 3.00/3.37 % --sat_fm_restart_options ""
% 3.00/3.37 % --sat_gr_def false
% 3.00/3.37 % --sat_epr_types true
% 3.00/3.37 % --sat_non_cyclic_types false
% 3.00/3.37 % --sat_finite_models false
% 3.00/3.37 % --sat_fm_lemmas false
% 3.00/3.37 % --sat_fm_prep false
% 3.00/3.37 % --sat_fm_uc_incr true
% 3.00/3.37 % --sat_out_model small
% 3.00/3.37 % --sat_out_clauses false
% 3.00/3.37
% 3.00/3.37 % ------ QBF Options
% 3.00/3.37
% 3.00/3.37 % --qbf_mode false
% 3.00/3.37 % --qbf_elim_univ true
% 3.00/3.37 % --qbf_sk_in true
% 3.00/3.37 % --qbf_pred_elim true
% 3.00/3.37 % --qbf_split 32
% 3.00/3.37
% 3.00/3.37 % ------ BMC1 Options
% 3.00/3.37
% 3.00/3.37 % --bmc1_incremental false
% 3.00/3.37 % --bmc1_axioms reachable_all
% 3.00/3.37 % --bmc1_min_bound 0
% 3.00/3.37 % --bmc1_max_bound -1
% 3.00/3.37 % --bmc1_max_bound_default -1
% 3.00/3.37 % --bmc1_symbol_reachability true
% 3.00/3.37 % --bmc1_property_lemmas false
% 3.00/3.37 % --bmc1_k_induction false
% 3.00/3.37 % --bmc1_non_equiv_states false
% 3.00/3.37 % --bmc1_deadlock false
% 3.00/3.37 % --bmc1_ucm false
% 3.00/3.37 % --bmc1_add_unsat_core none
% 3.00/3.37 % --bmc1_unsat_core_children false
% 3.00/3.37 % --bmc1_unsat_core_extrapolate_axioms false
% 3.00/3.37 % --bmc1_out_stat full
% 3.00/3.37 % --bmc1_ground_init false
% 3.00/3.37 % --bmc1_pre_inst_next_state false
% 3.00/3.37 % --bmc1_pre_inst_state false
% 3.00/3.37 % --bmc1_pre_inst_reach_state false
% 3.00/3.37 % --bmc1_out_unsat_core false
% 3.00/3.37 % --bmc1_aig_witness_out false
% 3.00/3.37 % --bmc1_verbose false
% 3.00/3.37 % --bmc1_dump_clauses_tptp false
% 3.00/3.37 % --bmc1_dump_unsat_core_tptp false
% 3.00/3.37 % --bmc1_dump_file -
% 3.00/3.37 % --bmc1_ucm_expand_uc_limit 128
% 3.00/3.37 % --bmc1_ucm_n_expand_iterations 6
% 3.00/3.37 % --bmc1_ucm_extend_mode 1
% 3.00/3.37 % --bmc1_ucm_init_mode 2
% 3.00/3.37 % --bmc1_ucm_cone_mode none
% 3.00/3.37 % --bmc1_ucm_reduced_relation_type 0
% 3.00/3.37 % --bmc1_ucm_relax_model 4
% 3.00/3.37 % --bmc1_ucm_full_tr_after_sat true
% 3.00/3.37 % --bmc1_ucm_expand_neg_assumptions false
% 3.00/3.37 % --bmc1_ucm_layered_model none
% 3.00/3.37 % --bmc1_ucm_max_lemma_size 10
% 3.00/3.37
% 3.00/3.37 % ------ AIG Options
% 3.00/3.37
% 3.00/3.37 % --aig_mode false
% 3.00/3.37
% 3.00/3.37 % ------ Instantiation Options
% 3.00/3.37
% 3.00/3.37 % --instantiation_flag true
% 3.00/3.37 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.00/3.37 % --inst_solver_per_active 750
% 3.00/3.37 % --inst_solver_calls_frac 0.5
% 3.00/3.37 % --inst_passive_queue_type priority_queues
% 3.00/3.37 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.00/3.37 % --inst_passive_queues_freq [25;2]
% 3.00/3.37 % --inst_dismatching true
% 3.00/3.37 % --inst_eager_unprocessed_to_passive true
% 3.00/3.37 % --inst_prop_sim_given true
% 3.00/3.37 % --inst_prop_sim_new false
% 3.00/3.37 % --inst_orphan_elimination true
% 3.00/3.37 % --inst_learning_loop_flag true
% 3.00/3.37 % --inst_learning_start 3000
% 3.00/3.37 % --inst_learning_factor 2
% 3.00/3.37 % --inst_start_prop_sim_after_learn 3
% 3.00/3.37 % --inst_sel_renew solver
% 3.00/3.37 % --inst_lit_activity_flag true
% 3.00/3.37 % --inst_out_proof true
% 3.00/3.37
% 3.00/3.37 % ------ Resolution Options
% 3.00/3.37
% 3.00/3.37 % --resolution_flag true
% 3.00/3.37 % --res_lit_sel kbo_max
% 3.00/3.37 % --res_to_prop_solver none
% 3.00/3.37 % --res_prop_simpl_new false
% 3.00/3.37 % --res_prop_simpl_given false
% 3.00/3.37 % --res_passive_queue_type priority_queues
% 3.00/3.37 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.00/3.37 % --res_passive_queues_freq [15;5]
% 3.00/3.37 % --res_forward_subs full
% 3.00/3.37 % --res_backward_subs full
% 3.00/3.37 % --res_forward_subs_resolution true
% 3.00/3.37 % --res_backward_subs_resolution true
% 3.00/3.37 % --res_orphan_elimination false
% 3.00/3.37 % --res_time_limit 1000.
% 3.00/3.37 % --res_out_proof true
% 3.00/3.37 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4502a9.s
% 3.00/3.37 % --modulo true
% 3.00/3.37
% 3.00/3.37 % ------ Combination Options
% 3.00/3.37
% 3.00/3.37 % --comb_res_mult 1000
% 3.00/3.37 % --comb_inst_mult 300
% 3.00/3.37 % ------
% 3.00/3.37
% 3.00/3.37
% 3.00/3.37
% 3.00/3.37 % ------ Proving...
% 3.00/3.37 % warning: shown sat in sat incomplete mode
% 3.00/3.37 %
% 3.00/3.37
% 3.00/3.37
% 3.00/3.37
% 3.00/3.37
% 3.00/3.37 cnf(c_1691,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.00/3.37 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2935_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7527,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.00/3.37 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1691]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7528,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.00/3.37 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.00/3.37 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = X2 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7527]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1620,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2900_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7385,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1620]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7386,plain,
% 3.00/3.37 ( ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7385]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1613,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2897_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7371,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1613]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7372,plain,
% 3.00/3.37 ( ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7371]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1608,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2895_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7361,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1608]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7362,plain,
% 3.00/3.37 ( ~ class_Power_Opower(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7361]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1604,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2894_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7353,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1604]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7354,plain,
% 3.00/3.37 ( ~ class_Power_Opower(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7353]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1601,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2893_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7347,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1601]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7348,plain,
% 3.00/3.37 ( ~ class_Power_Opower(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7347]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1560,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2876_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7265,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1560]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7266,plain,
% 3.00/3.37 ( ~ class_Power_Opower(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7265]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1522,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 3.00/3.37 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2863_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7189,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 3.00/3.37 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1522]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7190,plain,
% 3.00/3.37 ( ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 3.00/3.37 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7189]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1516,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = X2 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2861_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7177,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = X2 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1516]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7178,plain,
% 3.00/3.37 ( ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = X2 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7177]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1512,plain,
% 3.00/3.37 ( X0 = X1
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2859_2) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7169,plain,
% 3.00/3.37 ( X0 = X1
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1512]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7170,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7169]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1453,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 3.00/3.37 | c_lessequals(X1,X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2837_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7051,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 3.00/3.37 | c_lessequals(X1,X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1453]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7052,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X0,X1)
% 3.00/3.37 | c_lessequals(X0,X0,X1)
% 3.00/3.37 | ~ class_Orderings_Olinorder(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7051]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1435,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2832_1) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7015,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1435]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7016,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.00/3.37 | ~ class_Orderings_Olinorder(X2)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7015]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1434,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2832_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7013,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1434]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7014,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.00/3.37 | ~ class_Orderings_Olinorder(X2)
% 3.00/3.37 | X1 = X0 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7013]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1432,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2831_2) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7009,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1432]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7010,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7009]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1430,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.37 | X2 = X1 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2831_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7005,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.37 | X2 = X1 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1430]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7006,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 3.00/3.37 | X1 = X0 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_7005]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1427,plain,
% 3.00/3.37 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 3.00/3.37 | X0 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2830_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6999,plain,
% 3.00/3.37 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 3.00/3.37 | X0 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1427]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_7000,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 3.00/3.37 | X1 = X0 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6999]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1424,plain,
% 3.00/3.37 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 3.00/3.37 | X0 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2829_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6993,plain,
% 3.00/3.37 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 3.00/3.37 | X0 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1424]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6994,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 3.00/3.37 | X1 = X0 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6993]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1419,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2828_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6983,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1419]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6984,plain,
% 3.00/3.37 ( ~ class_Power_Opower(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6983]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1413,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2827_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6971,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Power_Opower(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1413]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6972,plain,
% 3.00/3.37 ( ~ class_Power_Opower(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.00/3.37 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6971]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1398,plain,
% 3.00/3.37 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2821_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6941,plain,
% 3.00/3.37 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1398]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6942,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6941]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1367,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_lessequals(X1,X2,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2806_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6879,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_lessequals(X1,X2,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1367]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6880,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6879]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1364,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_lessequals(X1,X2,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2805_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6873,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_lessequals(X1,X2,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1364]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6874,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6873]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1357,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.00/3.37 | c_Suc(X0) = X1 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2802_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6859,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.00/3.37 | c_Suc(X0) = X1 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1357]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6860,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | c_Suc(X0) = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6859]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1334,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2794_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6813,plain,
% 3.00/3.37 ( ~ class_Orderings_Olinorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1334]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6814,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | ~ c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ class_Orderings_Olinorder(X2)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6813]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1318,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2790_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6781,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1318]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6782,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | ~ c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ class_Orderings_Oorder(X2)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6781]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1310,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | X2 = X1 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2788_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6765,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | X2 = X1 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1310]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6766,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | ~ c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ class_Orderings_Oorder(X2)
% 3.00/3.37 | X1 = X0 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6765]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1292,plain,
% 3.00/3.37 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2779_2) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6729,plain,
% 3.00/3.37 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1292]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6730,plain,
% 3.00/3.37 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6729]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1281,plain,
% 3.00/3.37 ( X0 = X1
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2774_2) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6707,plain,
% 3.00/3.37 ( X0 = X1
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1281]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6708,plain,
% 3.00/3.37 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.00/3.37 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6707]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1219,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | ~ c_lessequals(X2,X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2753_2) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6583,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | X1 = X2
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | ~ c_lessequals(X2,X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1219]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6584,plain,
% 3.00/3.37 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ c_lessequals(X1,X0,X2)
% 3.00/3.37 | ~ class_Orderings_Oorder(X2)
% 3.00/3.37 | X0 = X1 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6583]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1217,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | ~ c_lessequals(X2,X1,X0)
% 3.00/3.37 | X2 = X1 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2753_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6579,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | ~ c_lessequals(X2,X1,X0)
% 3.00/3.37 | X2 = X1 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1217]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6580,plain,
% 3.00/3.37 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ c_lessequals(X1,X0,X2)
% 3.00/3.37 | ~ class_Orderings_Oorder(X2)
% 3.00/3.37 | X1 = X0 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6579]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1214,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2752_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6573,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1214]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6574,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6573]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1208,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.00/3.37 | X2 = X3 ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2750_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6561,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.00/3.37 | X2 = X3 ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1208]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6562,plain,
% 3.00/3.37 ( ~ class_Int_Onumber__ring(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oidom(X0)
% 3.00/3.37 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.00/3.37 | X2 = X3 ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6561]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1198,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2747_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6541,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1198]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6542,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6541]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1190,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2745_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6525,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1190]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6526,plain,
% 3.00/3.37 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6525]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1182,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2743_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6509,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1182]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6510,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.00/3.37 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6509]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1178,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2742_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6501,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1178]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6502,plain,
% 3.00/3.37 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6501]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1174,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2741_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6493,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1174]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6494,plain,
% 3.00/3.37 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.00/3.37 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6493]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1170,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.37 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2740_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6485,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.37 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1170]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6486,plain,
% 3.00/3.37 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.37 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6485]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1157,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | c_lessequals(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.37 | ~ c_lessequals(X2,X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2735_2) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6459,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | c_lessequals(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.37 | ~ c_lessequals(X2,X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1157]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6460,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_lessequals(X1,X0,X2)
% 3.00/3.37 | ~ c_lessequals(X0,X1,X2)
% 3.00/3.37 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6459]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1155,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_lessequals(X2,X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2735_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6455,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_lessequals(X2,X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1155]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6456,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | ~ c_lessequals(X0,X1,X2)
% 3.00/3.37 | c_lessequals(X1,X0,X2)
% 3.00/3.37 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6455]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1147,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2732_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6439,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1147]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6440,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6439]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1143,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2731_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6431,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1143]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6432,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X1)
% 3.00/3.37 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6431]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1137,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2729_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6419,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1137]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6420,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6419]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1133,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2728_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6411,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1133]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6412,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6411]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1129,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2727_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6403,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1129]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6404,plain,
% 3.00/3.37 ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6403]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1125,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2726_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6395,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1125]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6396,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6395]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1121,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2725_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6387,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1121]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6388,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6387]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1117,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2724_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6379,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1117]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6380,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X1)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6379]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1113,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2723_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6371,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1113]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6372,plain,
% 3.00/3.37 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6371]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1109,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2722_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6363,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1109]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6364,plain,
% 3.00/3.37 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6363]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1085,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2712_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6315,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 3.00/3.37 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1085]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6316,plain,
% 3.00/3.37 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6315]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1082,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2711_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6309,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1082]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6310,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6309]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1079,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.37 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 3.00/3.37 | c_lessequals(X1,X2,tc_nat) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2710_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6303,plain,
% 3.00/3.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.37 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 3.00/3.37 | c_lessequals(X1,X2,tc_nat) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1079]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6304,plain,
% 3.00/3.37 ( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 3.00/3.37 | c_lessequals(X0,X2,tc_nat)
% 3.00/3.37 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6303]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1060,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2701_1) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6265,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1060]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6266,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.00/3.37 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6265]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1059,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2701_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6263,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1059]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6264,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.00/3.37 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6263]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1056,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2700_1) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6257,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1056]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6258,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.00/3.37 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6257]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1055,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2700_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6255,plain,
% 3.00/3.37 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1055]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6256,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.00/3.37 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6255]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1051,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2699_0) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6247,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.37 inference(copy,[status(esa)],[c_1051]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_6248,plain,
% 3.00/3.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.00/3.37 | ~ c_lessequals(X1,X3,X2)
% 3.00/3.37 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.37 inference(rewriting,[status(thm)],[c_6247]) ).
% 3.00/3.37
% 3.00/3.37 cnf(c_1049,plain,
% 3.00/3.37 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2698_2) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6243,plain,
% 3.00/3.38 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1049]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6244,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.00/3.38 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6243]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1047,plain,
% 3.00/3.38 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2698_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6239,plain,
% 3.00/3.38 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1047]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6240,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X3,X0,X2)
% 3.00/3.38 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6239]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1044,plain,
% 3.00/3.38 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | c_lessequals(X3,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X1,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2697_1) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6233,plain,
% 3.00/3.38 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | c_lessequals(X3,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X1,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1044]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6234,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.38 | c_lessequals(X3,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X3,X0,X2)
% 3.00/3.38 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6233]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1043,plain,
% 3.00/3.38 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X1,X0)
% 3.00/3.38 | c_lessequals(X3,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2697_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6231,plain,
% 3.00/3.38 ( ~ class_Orderings_Opreorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X1,X0)
% 3.00/3.38 | c_lessequals(X3,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1043]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6232,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X3,X0,X2)
% 3.00/3.38 | c_lessequals(X3,X1,X2)
% 3.00/3.38 | ~ class_Orderings_Opreorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6231]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1041,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2696_2) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6227,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X3,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1041]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6228,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.00/3.38 | ~ c_lessequals(X3,X1,X2)
% 3.00/3.38 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6227]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1039,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2696_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6223,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1039]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6224,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.00/3.38 | ~ c_lessequals(X1,X3,X2)
% 3.00/3.38 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6223]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1035,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2695_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6215,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1035]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6216,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X3,X0,X2)
% 3.00/3.38 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6215]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1032,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | c_lessequals(X1,X3,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2694_1) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6209,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | c_lessequals(X1,X3,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1032]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6210,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.38 | c_lessequals(X0,X3,X2)
% 3.00/3.38 | ~ c_lessequals(X1,X3,X2)
% 3.00/3.38 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6209]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_1031,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0)
% 3.00/3.38 | c_lessequals(X1,X3,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2694_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6207,plain,
% 3.00/3.38 ( ~ class_Orderings_Oorder(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0)
% 3.00/3.38 | c_lessequals(X1,X3,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_1031]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6208,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X1,X3,X2)
% 3.00/3.38 | c_lessequals(X0,X3,X2)
% 3.00/3.38 | ~ class_Orderings_Oorder(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6207]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_935,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2654_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6015,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_935]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6016,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6015]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_930,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2653_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6005,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_930]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_6006,plain,
% 3.00/3.38 ( c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_6005]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_924,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.38 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | X2 = X3 ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2651_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5993,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.38 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | X2 = X3 ),
% 3.00/3.38 inference(copy,[status(esa)],[c_924]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5994,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.38 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 3.00/3.38 | X2 = X3 ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5993]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_917,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2649_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5979,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_917]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5980,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5979]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_912,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2648_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5969,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_912]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5970,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5969]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_907,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2647_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5959,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_907]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5960,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5959]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_901,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2645_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5947,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_901]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5948,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5947]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_897,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2644_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5939,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_897]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5940,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5939]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_893,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_lessequals(X2,X1,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2643_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5931,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_lessequals(X2,X1,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_893]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5932,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.00/3.38 | ~ c_lessequals(X2,X0,X1)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5931]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_889,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2642_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5923,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_889]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5924,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5923]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_886,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2641_2) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5917,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_886]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5918,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5917]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_884,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2641_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5913,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_884]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5914,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5913]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_881,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2640_2) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5907,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_881]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5908,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5907]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_879,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2640_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5903,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_879]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5904,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.00/3.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5903]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_870,plain,
% 3.00/3.38 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2636_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5885,plain,
% 3.00/3.38 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_870]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5886,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.00/3.38 | c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5885]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_865,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oring__1(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,tc_nat)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2634_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5875,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oring__1(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,tc_nat)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_865]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5876,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.38 | ~ class_Ring__and__Field_Oring__1(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5875]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_862,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2633_1) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5869,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_862]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5870,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5869]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_861,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2633_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5867,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_861]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5868,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5867]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_858,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2632_1) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5861,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_858]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5862,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5861]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_857,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2632_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5859,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_857]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5860,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5859]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_854,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_lessequals(X2,X1,X0)
% 3.00/3.38 | ~ c_lessequals(X4,X3,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2631_1) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5853,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_lessequals(X2,X1,X0)
% 3.00/3.38 | ~ c_lessequals(X4,X3,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_854]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5854,plain,
% 3.00/3.38 ( c_lessequals(X0,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5853]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_853,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_lessequals(X4,X3,X0)
% 3.00/3.38 | c_lessequals(X2,X1,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2631_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5851,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_lessequals(X4,X3,X0)
% 3.00/3.38 | c_lessequals(X2,X1,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_853]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5852,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.38 | c_lessequals(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5851]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_850,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_lessequals(X4,X3,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X1,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2630_1) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5845,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | c_lessequals(X4,X3,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X1,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_850]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5846,plain,
% 3.00/3.38 ( c_lessequals(X0,X1,X2)
% 3.00/3.38 | ~ c_lessequals(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5845]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_849,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X1,X0)
% 3.00/3.38 | c_lessequals(X4,X3,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2630_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5843,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.00/3.38 | ~ c_lessequals(X2,X1,X0)
% 3.00/3.38 | c_lessequals(X4,X3,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_849]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5844,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,X2)
% 3.00/3.38 | c_lessequals(X3,X4,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5843]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_846,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2629_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5837,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_846]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5838,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5837]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_843,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_lessequals(X1,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2628_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5831,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_lessequals(X1,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_843]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5832,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.38 | c_lessequals(X0,X1,X2)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5831]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_839,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2627_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5823,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_839]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5824,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5823]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_835,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2626_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5815,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_835]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5816,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5815]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_831,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | c_lessequals(X1,X2,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2625_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5807,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.00/3.38 | c_lessequals(X1,X2,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_831]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5808,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.00/3.38 | c_lessequals(X0,X2,X1)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5807]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_827,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.00/3.38 | c_lessequals(X2,X1,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2624_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5799,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.00/3.38 | c_lessequals(X2,X1,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_827]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5800,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.00/3.38 | c_lessequals(X2,X1,X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5799]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_822,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2622_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5789,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_822]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5790,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
% 3.00/3.38 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5789]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_787,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2605_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5719,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_787]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5720,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5719]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_784,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2604_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5713,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_784]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5714,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5713]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_781,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.00/3.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2603_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5707,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.00/3.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_781]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5708,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.00/3.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5707]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_778,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2602_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5701,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_778]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5702,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5701]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_775,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2601_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5695,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_775]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5696,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.00/3.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5695]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_772,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2600_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5689,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.00/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_772]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5690,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5689]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_770,plain,
% 3.00/3.38 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 3.00/3.38 | X0 = X2
% 3.00/3.38 | ~ c_lessequals(X1,X0,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2599_2) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5685,plain,
% 3.00/3.38 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 3.00/3.38 | X0 = X2
% 3.00/3.38 | ~ c_lessequals(X1,X0,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_770]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5686,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X0,X2,tc_nat)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 3.00/3.38 | X1 = X2 ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5685]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_768,plain,
% 3.00/3.38 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X1,X2,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X1,X0,tc_nat)
% 3.00/3.38 | X0 = X2 ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2599_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5681,plain,
% 3.00/3.38 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X1,X2,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X1,X0,tc_nat)
% 3.00/3.38 | X0 = X2 ),
% 3.00/3.38 inference(copy,[status(esa)],[c_768]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5682,plain,
% 3.00/3.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.00/3.38 | ~ c_lessequals(X0,X2,tc_nat)
% 3.00/3.38 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 3.00/3.38 | X2 = X1 ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5681]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_746,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2589_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5637,plain,
% 3.00/3.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_746]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5638,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.00/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5637]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_741,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2588_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5627,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_741]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5628,plain,
% 3.00/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5627]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_736,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2587_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5617,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_736]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5618,plain,
% 3.00/3.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5617]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_731,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2586_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5607,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.00/3.38 inference(copy,[status(esa)],[c_731]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5608,plain,
% 3.00/3.38 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.38 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.00/3.38 | ~ c_lessequals(X2,X3,X0)
% 3.00/3.38 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 3.00/3.38 inference(rewriting,[status(thm)],[c_5607]) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_726,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.38 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.00/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2585_0) ).
% 3.00/3.38
% 3.00/3.38 cnf(c_5597,plain,
% 3.00/3.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.00/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.00/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_726]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5598,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.00/3.39 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.00/3.39 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5597]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_722,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2584_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5589,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_722]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5590,plain,
% 3.00/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5589]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_691,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2574_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5527,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_691]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5528,plain,
% 3.00/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5527]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_687,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2573_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5519,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_687]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5520,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5519]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_679,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2571_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5503,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_679]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5504,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5503]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_675,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2570_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5495,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_675]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5496,plain,
% 3.00/3.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5495]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_671,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2569_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5487,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_671]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5488,plain,
% 3.00/3.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5487]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_667,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2568_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5479,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_667]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5480,plain,
% 3.00/3.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5479]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_663,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2567_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5471,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_663]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5472,plain,
% 3.00/3.39 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5471]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_639,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2561_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5423,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_639]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5424,plain,
% 3.00/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.00/3.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5423]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_627,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2558_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5399,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_627]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5400,plain,
% 3.00/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5399]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_623,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2557_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5391,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_623]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5392,plain,
% 3.00/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5391]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_607,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2553_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5359,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_607]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5360,plain,
% 3.00/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5359]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_603,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2552_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5351,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_603]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5352,plain,
% 3.00/3.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5351]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_595,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2550_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5335,plain,
% 3.00/3.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_595]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5336,plain,
% 3.00/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5335]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_591,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2549_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5327,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_591]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5328,plain,
% 3.00/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5327]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_587,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2548_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5319,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_587]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5320,plain,
% 3.00/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5319]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_583,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2547_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5311,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_583]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5312,plain,
% 3.00/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5311]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_578,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 3.00/3.39 | X1 = X3
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2545_2) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5301,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 3.00/3.39 | X1 = X3
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_578]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5302,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 3.00/3.39 | X1 = X2 ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5301]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_576,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | X1 = X3 ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2545_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5297,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | X1 = X3 ),
% 3.00/3.39 inference(copy,[status(esa)],[c_576]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5298,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.00/3.39 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 3.00/3.39 | X2 = X1 ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5297]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_572,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2544_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5289,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_572]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5290,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5289]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_568,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2543_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5281,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_568]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5282,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5281]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_564,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2542_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5273,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_564]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5274,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5273]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_560,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2541_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5265,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_560]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5266,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5265]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_556,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2540_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5257,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_556]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5258,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.00/3.39 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5257]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_553,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2539_1) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5251,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_553]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5252,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5251]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_552,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2539_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5249,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_552]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5250,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5249]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_549,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2538_1) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5243,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_549]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5244,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5243]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_548,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2538_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5241,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_548]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5242,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5241]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_544,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2537_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5233,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.00/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_544]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5234,plain,
% 3.00/3.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.00/3.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5233]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_519,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2525_2) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5183,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_519]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5184,plain,
% 3.00/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5183]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_517,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2525_0) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5179,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 inference(copy,[status(esa)],[c_517]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5180,plain,
% 3.00/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.00/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.00/3.39 inference(rewriting,[status(thm)],[c_5179]) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_515,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.00/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.00/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2524_2) ).
% 3.00/3.39
% 3.00/3.39 cnf(c_5175,plain,
% 3.00/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.00/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_515]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5176,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5175]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_513,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2524_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5171,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_513]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5172,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5171]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_510,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2523_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5165,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_510]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5166,plain,
% 3.17/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5165]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_504,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2521_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5153,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_504]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5154,plain,
% 3.17/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5153]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_501,plain,
% 3.17/3.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.17/3.39 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2520_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5147,plain,
% 3.17/3.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.17/3.39 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_501]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5148,plain,
% 3.17/3.39 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 3.17/3.39 | ~ c_lessequals(X1,X3,tc_nat)
% 3.17/3.39 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5147]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_463,plain,
% 3.17/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.17/3.39 | ~ c_lessequals(X3,X4,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2504_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5071,plain,
% 3.17/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.17/3.39 | ~ c_lessequals(X3,X4,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_463]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5072,plain,
% 3.17/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.17/3.39 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.39 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5071]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_459,plain,
% 3.17/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2503_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5063,plain,
% 3.17/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_459]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5064,plain,
% 3.17/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.39 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5063]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_455,plain,
% 3.17/3.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | ~ c_lessequals(X3,X4,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2502_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5055,plain,
% 3.17/3.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | ~ c_lessequals(X3,X4,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_455]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5056,plain,
% 3.17/3.39 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.17/3.39 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.39 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.39 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5055]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_445,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2499_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5035,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_445]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5036,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5035]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_441,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2498_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5027,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,tc_nat)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_441]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5028,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5027]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_437,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2497_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5019,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_437]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5020,plain,
% 3.17/3.39 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5019]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_432,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2496_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5009,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_432]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5010,plain,
% 3.17/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.39 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_5009]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_427,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2495_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4999,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_427]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_5000,plain,
% 3.17/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4999]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_423,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2494_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4991,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_423]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4992,plain,
% 3.17/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4991]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_411,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2491_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4967,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_411]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4968,plain,
% 3.17/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4967]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_395,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2487_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4935,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_395]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4936,plain,
% 3.17/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4935]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_379,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2483_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4903,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_379]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4904,plain,
% 3.17/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.39 | ~ c_lessequals(X1,X3,X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4903]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_375,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2482_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4895,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_375]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4896,plain,
% 3.17/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.39 | ~ c_lessequals(X1,X3,X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4895]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_371,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2481_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4887,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_371]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4888,plain,
% 3.17/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.39 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.39 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4887]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_367,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2480_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4879,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_367]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4880,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | ~ c_lessequals(X3,X2,X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4879]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_363,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2479_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4871,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_363]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4872,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | ~ c_lessequals(X3,X1,X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4871]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_359,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2478_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4863,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_359]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4864,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.39 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4863]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_355,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2477_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4855,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_355]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4856,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.17/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.17/3.39 | ~ c_lessequals(X3,X2,X1)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4855]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_351,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2476_0) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4847,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_351]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4848,plain,
% 3.17/3.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 3.17/3.39 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4847]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_347,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.17/3.39 | X1 = X3
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.17/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2475_2) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4839,plain,
% 3.17/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.39 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 3.17/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.17/3.39 | X1 = X3
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.17/3.39 inference(copy,[status(esa)],[c_347]) ).
% 3.17/3.39
% 3.17/3.39 cnf(c_4840,plain,
% 3.17/3.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.17/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.17/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 3.17/3.39 | c_Power_Opower__class_Opower(X2,X0,X1) != c_Power_Opower__class_Opower(X3,X0,X1)
% 3.17/3.39 | X2 = X3 ),
% 3.17/3.39 inference(rewriting,[status(thm)],[c_4839]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_345,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | X1 = X3 ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2475_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4835,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | X1 = X3 ),
% 3.17/3.40 inference(copy,[status(esa)],[c_345]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4836,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 3.17/3.40 | c_Power_Opower__class_Opower(X3,X0,X1) != c_Power_Opower__class_Opower(X2,X0,X1)
% 3.17/3.40 | X3 = X2 ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4835]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_340,plain,
% 3.17/3.40 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X0,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2472_2) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4825,plain,
% 3.17/3.40 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X0,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_340]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4826,plain,
% 3.17/3.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X0,X2,tc_nat)
% 3.17/3.40 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4825]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_335,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2471_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4815,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_335]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4816,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4815]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_332,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2470_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4809,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_332]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4810,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4809]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_329,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2469_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4803,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_329]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4804,plain,
% 3.17/3.40 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.17/3.40 | c_lessequals(X1,X3,X2)
% 3.17/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4803]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_326,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.17/3.40 | c_lessequals(X1,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2468_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4797,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.17/3.40 | c_lessequals(X1,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_326]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4798,plain,
% 3.17/3.40 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.17/3.40 | c_lessequals(X0,X3,X2)
% 3.17/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4797]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_320,plain,
% 3.17/3.40 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 3.17/3.40 | ~ c_lessequals(X2,X1,tc_nat)
% 3.17/3.40 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2466_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4785,plain,
% 3.17/3.40 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 3.17/3.40 | ~ c_lessequals(X2,X1,tc_nat)
% 3.17/3.40 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_320]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4786,plain,
% 3.17/3.40 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4785]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_313,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.17/3.40 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.40 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 3.17/3.40 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2464_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4771,plain,
% 3.17/3.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.17/3.40 | ~ c_lessequals(X1,X2,X0)
% 3.17/3.40 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 3.17/3.40 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_313]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4772,plain,
% 3.17/3.40 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.17/3.40 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X3)
% 3.17/3.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4771]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_309,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X2,X1,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X2,X0,tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2463_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4763,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X2,X1,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X2,X0,tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_309]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4764,plain,
% 3.17/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4763]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_296,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.40 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.40 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.17/3.40 | X3 = X4
% 3.17/3.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2459_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4737,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.40 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.40 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.17/3.40 | X3 = X4
% 3.17/3.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_296]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4738,plain,
% 3.17/3.40 ( ~ class_Int_Onumber__ring(X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.40 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.17/3.40 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.40 | X3 = X4 ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4737]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_293,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2458_1) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4731,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_293]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4732,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4731]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_292,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2458_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4729,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_292]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4730,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4729]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_289,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2457_1) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4723,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_289]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4724,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4723]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_288,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2457_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4721,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_288]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4722,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4721]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_262,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2445_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4669,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_262]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4670,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4669]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_258,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2444_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4661,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_258]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4662,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4661]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_254,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2443_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4653,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_254]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4654,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4653]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_250,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2442_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4645,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_250]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4646,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4645]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_245,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2441_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4635,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_245]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4636,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X0,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4635]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_239,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.40 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.40 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2439_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4623,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.40 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.40 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_239]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4624,plain,
% 3.17/3.40 ( ~ class_Int_Onumber__ring(X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.40 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4623]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_235,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2438_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4615,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_235]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4616,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4615]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_231,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2437_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4607,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_231]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4608,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4607]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_226,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2436_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4597,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_226]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4598,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4597]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_221,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.40 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2435_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4587,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X3,tc_nat)
% 3.17/3.40 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_221]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4588,plain,
% 3.17/3.40 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.40 | ~ c_lessequals(X3,X2,tc_nat)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4587]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_201,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2430_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4547,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_201]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4548,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4547]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_193,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | c_lessequals(X2,X3,tc_nat) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2428_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4531,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | c_lessequals(X2,X3,tc_nat) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_193]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4532,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,tc_nat)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4531]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_189,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2427_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4523,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_189]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4524,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4523]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_185,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2426_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4515,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_185]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4516,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4515]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_181,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2425_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4507,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_181]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4508,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4507]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_177,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2424_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4499,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_177]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4500,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4499]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_173,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2423_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4491,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_173]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4492,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_lessequals(X2,X3,X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4491]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_169,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_lessequals(X3,X2,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2422_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4483,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.40 | c_lessequals(X3,X2,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_169]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4484,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.17/3.40 | c_lessequals(X3,X2,X1)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4483]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_165,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2421_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4475,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_165]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4476,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4475]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_161,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2420_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4467,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_161]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4468,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4467]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_157,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2419_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4459,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_157]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4460,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4459]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_153,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2418_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4451,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_153]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4452,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4451]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_149,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2417_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4443,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_149]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4444,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4443]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_146,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2416_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4437,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_146]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4438,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4437]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_139,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.17/3.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2413_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4423,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.17/3.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_139]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4424,plain,
% 3.17/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4423]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_136,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.17/3.40 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2412_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4417,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.17/3.40 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_136]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4418,plain,
% 3.17/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.40 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4417]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_132,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 3.17/3.40 | c_lessequals(X2,X1,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2411_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4409,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 3.17/3.40 | c_lessequals(X2,X1,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_132]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4410,plain,
% 3.17/3.40 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 3.17/3.40 | c_lessequals(X2,X1,X0)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4409]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_128,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X0,tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2410_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4401,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X0,tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_128]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4402,plain,
% 3.17/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.17/3.40 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X2,tc_nat)
% 3.17/3.40 | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4401]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_122,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2408_4) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4389,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_122]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4390,plain,
% 3.17/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4389]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_120,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2408_2) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4385,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X2,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_120]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4386,plain,
% 3.17/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4385]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_118,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2408_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4381,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_118]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4382,plain,
% 3.17/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.40 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4381]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_116,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2407_4) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4377,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_116]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4378,plain,
% 3.17/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4377]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_114,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X3,X2,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2407_2) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4373,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.17/3.40 | ~ c_lessequals(X3,X2,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_114]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4374,plain,
% 3.17/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.17/3.40 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4373]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_112,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X4,X2,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2407_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4369,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X4,X2,X0)
% 3.17/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_112]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4370,plain,
% 3.17/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.17/3.40 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.40 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4369]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_108,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2406_2) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4361,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_108]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4362,plain,
% 3.17/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4361]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_106,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2406_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4357,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_106]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4358,plain,
% 3.17/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.40 inference(rewriting,[status(thm)],[c_4357]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_100,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2405_0) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4345,plain,
% 3.17/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.40 | ~ c_lessequals(X2,X4,X0)
% 3.17/3.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.40 inference(copy,[status(esa)],[c_100]) ).
% 3.17/3.40
% 3.17/3.40 cnf(c_4346,plain,
% 3.17/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.40 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.41 | ~ c_lessequals(X0,X3,X2)
% 3.17/3.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4345]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_94,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.41 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2404_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4333,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.41 | ~ c_lessequals(X1,X3,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_94]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4334,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.17/3.41 | ~ c_lessequals(X1,X4,X2)
% 3.17/3.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4333]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_90,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2403_2) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4325,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_90]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4326,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4325]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_88,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2403_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4321,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_88]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4322,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.17/3.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4321]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_80,plain,
% 3.17/3.41 ( ~ class_Divides_Oring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2400_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4305,plain,
% 3.17/3.41 ( ~ class_Divides_Oring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_80]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4306,plain,
% 3.17/3.41 ( ~ class_Divides_Oring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4305]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_76,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2399_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4297,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_76]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4298,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4297]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_72,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2398_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4289,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_72]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4290,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4289]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_47,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.41 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.41 | X1 = X3
% 3.17/3.41 | X2 = X4 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2389_1) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4239,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.41 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.41 | X1 = X3
% 3.17/3.41 | X2 = X4 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_47]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4240,plain,
% 3.17/3.41 ( ~ class_Int_Onumber__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.41 | X1 = X3
% 3.17/3.41 | X2 = X4 ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4239]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_46,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.41 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.41 | X2 = X4
% 3.17/3.41 | X1 = X3 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2389_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4237,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.41 | ~ class_Int_Onumber__ring(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.41 | X2 = X4
% 3.17/3.41 | X1 = X3 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_46]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4238,plain,
% 3.17/3.41 ( ~ class_Int_Onumber__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Oidom(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.17/3.41 | X2 = X4
% 3.17/3.41 | X1 = X3 ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4237]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_33,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2384_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4211,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_33]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4212,plain,
% 3.17/3.41 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.17/3.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 3.17/3.41 | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4211]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_30,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2383_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4205,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.17/3.41 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_30]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4206,plain,
% 3.17/3.41 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.17/3.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 3.17/3.41 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4205]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_12,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2376_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4169,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_12]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4170,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.17/3.41 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.17/3.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4169]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_3,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2373_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4151,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.17/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_3]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_4152,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.17/3.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_4151]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1889,negated_conjecture,
% 3.17/3.41 ( c_InductTermi_OIT(v_r) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_9) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2243,negated_conjecture,
% 3.17/3.41 ( c_InductTermi_OIT(v_r) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1889]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2250,negated_conjecture,
% 3.17/3.41 ( c_InductTermi_OIT(v_r) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2243]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2251,negated_conjecture,
% 3.17/3.41 ( c_InductTermi_OIT(v_r) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2250]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2254,negated_conjecture,
% 3.17/3.41 ( c_InductTermi_OIT(v_r) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2251]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7879,negated_conjecture,
% 3.17/3.41 ( c_InductTermi_OIT(v_r) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2254]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1888,negated_conjecture,
% 3.17/3.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),v_j)) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_8) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2241,negated_conjecture,
% 3.17/3.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),v_j)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1888]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2249,negated_conjecture,
% 3.17/3.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),v_j)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2241]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2252,negated_conjecture,
% 3.17/3.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),v_j)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2249]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_2253,negated_conjecture,
% 3.17/3.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),v_j)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2252]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7877,negated_conjecture,
% 3.17/3.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),v_j)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_2253]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1884,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_491_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7872,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1884]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1882,plain,
% 3.17/3.41 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_493_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7869,plain,
% 3.17/3.41 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1882]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1881,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_494_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7867,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1881]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1880,plain,
% 3.17/3.41 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_495_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7865,plain,
% 3.17/3.41 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1880]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1878,plain,
% 3.17/3.41 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_497_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7862,plain,
% 3.17/3.41 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1878]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1871,plain,
% 3.17/3.41 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_504_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7854,plain,
% 3.17/3.41 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1871]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1866,plain,
% 3.17/3.41 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_509_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7848,plain,
% 3.17/3.41 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1866]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1865,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_510_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7846,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1865]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1863,plain,
% 3.17/3.41 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_512_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7843,plain,
% 3.17/3.41 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1863]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1861,plain,
% 3.17/3.41 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X0),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_514_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7840,plain,
% 3.17/3.41 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X0),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1861]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1860,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_515_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7838,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1860]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1856,plain,
% 3.17/3.41 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_519_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7833,plain,
% 3.17/3.41 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1856]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1854,plain,
% 3.17/3.41 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_521_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7830,plain,
% 3.17/3.41 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1854]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1851,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_524_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7826,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1851]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1850,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_525_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7824,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1850]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1846,plain,
% 3.17/3.41 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_529_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7818,plain,
% 3.17/3.41 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1846]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1845,plain,
% 3.17/3.41 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_530_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7816,plain,
% 3.17/3.41 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1845]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1841,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_534_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7810,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1841]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1840,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_535_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7808,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1840]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1839,plain,
% 3.17/3.41 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_536_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7806,plain,
% 3.17/3.41 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1839]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1836,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_539_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7801,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1836]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1831,plain,
% 3.17/3.41 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_544_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7795,plain,
% 3.17/3.41 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1831]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1829,plain,
% 3.17/3.41 ( c_lessequals(X0,X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_546_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7791,plain,
% 3.17/3.41 ( c_lessequals(X0,X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1829]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1828,plain,
% 3.17/3.41 ( X0 != c_Suc(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_547_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7789,plain,
% 3.17/3.41 ( X0 != c_Suc(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1828]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1827,plain,
% 3.17/3.41 ( c_Suc(X0) != X0 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_548_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7787,plain,
% 3.17/3.41 ( c_Suc(X0) != X0 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1827]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1826,plain,
% 3.17/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_549_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7785,plain,
% 3.17/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1826]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1824,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_551_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7781,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1824]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1821,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_554_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7776,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1821]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1820,plain,
% 3.17/3.41 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_555_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7774,plain,
% 3.17/3.41 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1820]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1818,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_557_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7770,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1818]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1816,plain,
% 3.17/3.41 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_559_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7766,plain,
% 3.17/3.41 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1816]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1811,plain,
% 3.17/3.41 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_564_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7759,plain,
% 3.17/3.41 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1811]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1808,plain,
% 3.17/3.41 ( class_Power_Opower(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_567_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7755,plain,
% 3.17/3.41 ( class_Power_Opower(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1808]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1807,plain,
% 3.17/3.41 ( class_Orderings_Oorder(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_568_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7753,plain,
% 3.17/3.41 ( class_Orderings_Oorder(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1807]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1806,plain,
% 3.17/3.41 ( class_Orderings_Olinorder(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_569_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7751,plain,
% 3.17/3.41 ( class_Orderings_Olinorder(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1806]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1805,plain,
% 3.17/3.41 ( class_Orderings_Opreorder(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_570_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7749,plain,
% 3.17/3.41 ( class_Orderings_Opreorder(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1805]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1804,plain,
% 3.17/3.41 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_571_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7747,plain,
% 3.17/3.41 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1804]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1803,plain,
% 3.17/3.41 ( class_Divides_Osemiring__div(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_572_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7745,plain,
% 3.17/3.41 ( class_Divides_Osemiring__div(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1803]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1802,plain,
% 3.17/3.41 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_573_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7743,plain,
% 3.17/3.41 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1802]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1801,plain,
% 3.17/3.41 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_574_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7741,plain,
% 3.17/3.41 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1801]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1800,plain,
% 3.17/3.41 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_575_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7739,plain,
% 3.17/3.41 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1800]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1799,plain,
% 3.17/3.41 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_576_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7737,plain,
% 3.17/3.41 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1799]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1798,plain,
% 3.17/3.41 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_577_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7735,plain,
% 3.17/3.41 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1798]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1797,plain,
% 3.17/3.41 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_578_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7733,plain,
% 3.17/3.41 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1797]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1796,plain,
% 3.17/3.41 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_579_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7731,plain,
% 3.17/3.41 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1796]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1795,plain,
% 3.17/3.41 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_580_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7729,plain,
% 3.17/3.41 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1795]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1794,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_581_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7727,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1794]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1793,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_582_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7725,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1793]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1792,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_583_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7723,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1792]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1791,plain,
% 3.17/3.41 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_584_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7721,plain,
% 3.17/3.41 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1791]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1790,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_585_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7719,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1790]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1789,plain,
% 3.17/3.41 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_586_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7717,plain,
% 3.17/3.41 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1789]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1788,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_587_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7715,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1788]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1787,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_588_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7713,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1787]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1786,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_589_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7711,plain,
% 3.17/3.41 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1786]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1785,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_590_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7709,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1785]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1784,plain,
% 3.17/3.41 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_591_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7707,plain,
% 3.17/3.41 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1784]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1783,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_592_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7705,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1783]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1782,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_593_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7703,plain,
% 3.17/3.41 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1782]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1781,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_594_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7701,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1781]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1780,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_595_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7699,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1780]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1779,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_596_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7697,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1779]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1778,plain,
% 3.17/3.41 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_597_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7695,plain,
% 3.17/3.41 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1778]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1777,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_598_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7693,plain,
% 3.17/3.41 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1777]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1776,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_599_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7691,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1776]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1775,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_600_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7689,plain,
% 3.17/3.41 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1775]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1773,plain,
% 3.17/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_602_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7686,plain,
% 3.17/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1773]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1771,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_604_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7683,plain,
% 3.17/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1771]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1767,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_608_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7678,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1767]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1764,plain,
% 3.17/3.41 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2964_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7673,plain,
% 3.17/3.41 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1764]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1762,plain,
% 3.17/3.41 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2963_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7669,plain,
% 3.17/3.41 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1762]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1758,plain,
% 3.17/3.41 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2961_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7661,plain,
% 3.17/3.41 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1758]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1756,plain,
% 3.17/3.41 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2960_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7657,plain,
% 3.17/3.41 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1756]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7658,plain,
% 3.17/3.41 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_7657]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1752,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.17/3.41 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2958_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7649,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.17/3.41 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1752]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1750,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.17/3.41 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2957_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7645,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.17/3.41 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1750]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1748,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.17/3.41 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2956_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7641,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.17/3.41 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1748]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1746,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2955_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7637,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1746]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1744,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2954_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7633,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1744]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1742,plain,
% 3.17/3.41 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2953_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7629,plain,
% 3.17/3.41 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1742]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7630,plain,
% 3.17/3.41 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_7629]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1739,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2952_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7623,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1739]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1736,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2951_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7617,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1736]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1733,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2950_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7611,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1733]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1731,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2949_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7607,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1731]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1729,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2948_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7603,plain,
% 3.17/3.41 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1729]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1725,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.17/3.41 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2947_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7595,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.17/3.41 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1725]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1721,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2946_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7587,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1721]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1719,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(X0,X1)
% 3.17/3.41 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2945_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7583,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(X0,X1)
% 3.17/3.41 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1719]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7584,plain,
% 3.17/3.41 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 3.17/3.41 | ~ c_Lambda_Obeta(X0,X1) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_7583]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1716,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2944_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7577,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1716]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1713,plain,
% 3.17/3.41 ( ~ class_Nat_Osemiring__char__0(X0)
% 3.17/3.41 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 3.17/3.41 | X1 = X2 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2943_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7571,plain,
% 3.17/3.41 ( ~ class_Nat_Osemiring__char__0(X0)
% 3.17/3.41 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 3.17/3.41 | X1 = X2 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1713]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1710,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2942_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7565,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1710]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1708,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.17/3.41 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2941_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7561,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.17/3.41 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1708]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1704,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.17/3.41 | X1 = X2 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2940_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7553,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.17/3.41 | X1 = X2 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1704]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1702,plain,
% 3.17/3.41 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2939_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7549,plain,
% 3.17/3.41 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1702]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7550,plain,
% 3.17/3.41 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_7549]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1700,plain,
% 3.17/3.41 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2938_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7545,plain,
% 3.17/3.41 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1700]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7546,plain,
% 3.17/3.41 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_7545]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1698,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2937_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7541,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1698]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1696,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 3.17/3.41 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2936_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7537,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 3.17/3.41 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1696]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1692,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.17/3.41 | X1 = X2
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2935_1) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7529,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.17/3.41 | X1 = X2
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1692]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7530,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.17/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.17/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.17/3.41 | X1 = X2 ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_7529]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1689,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2934_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7523,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1689]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1687,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2933_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7519,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1687]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1685,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2932_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7515,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1685]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1681,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.17/3.41 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2930_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7507,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.17/3.41 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1681]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1679,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.17/3.41 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2929_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7503,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.17/3.41 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1679]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1675,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2927_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7495,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1675]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1673,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2926_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7491,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1673]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1671,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2925_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7487,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1671]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1669,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2924_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7483,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1669]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1667,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2923_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7479,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1667]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1665,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2922_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7475,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1665]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1663,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2921_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7471,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1663]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1661,plain,
% 3.17/3.41 ( ~ class_Power_Opower(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2920_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7467,plain,
% 3.17/3.41 ( ~ class_Power_Opower(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1661]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1657,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2918_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7459,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1657]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1655,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2917_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7455,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1655]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1653,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2916_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7451,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1653]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1651,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2915_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7447,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1651]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1649,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2914_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7443,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1649]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1647,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2913_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7439,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1647]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1645,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.17/3.41 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2912_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7435,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.17/3.41 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1645]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1643,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2911_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7431,plain,
% 3.17/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.17/3.41 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1643]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1641,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2910_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7427,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1641]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1639,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2909_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7423,plain,
% 3.17/3.41 ( ~ class_Divides_Osemiring__div(X0)
% 3.17/3.41 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1639]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1635,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2907_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7415,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1635]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1633,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2906_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7411,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1633]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1631,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2905_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7407,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1631]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1629,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2904_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7403,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1629]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1627,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2903_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7399,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1627]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1625,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2902_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7395,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.17/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1625]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1623,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 3.17/3.41 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2901_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7391,plain,
% 3.17/3.41 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 3.17/3.41 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1623]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1618,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2899_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7381,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1618]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7382,plain,
% 3.17/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.17/3.41 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.17/3.41 inference(rewriting,[status(thm)],[c_7381]) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_1616,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.41 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.17/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2898_0) ).
% 3.17/3.41
% 3.17/3.41 cnf(c_7377,plain,
% 3.17/3.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.17/3.41 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.17/3.41 inference(copy,[status(esa)],[c_1616]) ).
% 3.20/3.41
% 3.20/3.41 cnf(c_7378,plain,
% 3.20/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.20/3.41 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.20/3.41 inference(rewriting,[status(thm)],[c_7377]) ).
% 3.20/3.41
% 3.20/3.41 cnf(c_1611,plain,
% 3.20/3.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.20/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2896_0) ).
% 3.20/3.41
% 3.20/3.41 cnf(c_7367,plain,
% 3.20/3.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.20/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.41 inference(copy,[status(esa)],[c_1611]) ).
% 3.20/3.41
% 3.20/3.41 cnf(c_1597,plain,
% 3.20/3.41 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 3.20/3.41 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2891_0) ).
% 3.20/3.41
% 3.20/3.41 cnf(c_7339,plain,
% 3.20/3.41 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1597]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1595,plain,
% 3.20/3.42 ( ~ c_Lambda_Obeta(X0,X1)
% 3.20/3.42 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X2,X0),c_Lambda_OdB_OApp(X2,X1)) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2890_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7335,plain,
% 3.20/3.42 ( ~ c_Lambda_Obeta(X0,X1)
% 3.20/3.42 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X2,X0),c_Lambda_OdB_OApp(X2,X1)) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1595]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7336,plain,
% 3.20/3.42 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 3.20/3.42 | ~ c_Lambda_Obeta(X1,X2) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7335]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1593,plain,
% 3.20/3.42 ( ~ c_Lambda_Obeta(X0,X1)
% 3.20/3.42 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X2),c_Lambda_OdB_OApp(X1,X2)) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2889_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7331,plain,
% 3.20/3.42 ( ~ c_Lambda_Obeta(X0,X1)
% 3.20/3.42 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X2),c_Lambda_OdB_OApp(X1,X2)) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1593]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7332,plain,
% 3.20/3.42 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 3.20/3.42 | ~ c_Lambda_Obeta(X0,X2) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7331]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1591,plain,
% 3.20/3.42 ( ~ c_Lambda_Obeta(X0,X1)
% 3.20/3.42 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2888_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7327,plain,
% 3.20/3.42 ( ~ c_Lambda_Obeta(X0,X1)
% 3.20/3.42 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1591]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7328,plain,
% 3.20/3.42 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 3.20/3.42 | ~ c_Lambda_Obeta(X0,X2) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7327]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1589,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2887_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7323,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1589]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1587,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2886_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7319,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1587]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1585,plain,
% 3.20/3.42 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2885_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7315,plain,
% 3.20/3.42 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1585]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1583,plain,
% 3.20/3.42 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2884_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7311,plain,
% 3.20/3.42 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1583]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7312,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7311]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1581,plain,
% 3.20/3.42 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2883_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7307,plain,
% 3.20/3.42 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1581]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7308,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7307]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1579,plain,
% 3.20/3.42 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2882_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7303,plain,
% 3.20/3.42 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1579]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7304,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7303]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1575,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.20/3.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2880_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7295,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.20/3.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1575]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7296,plain,
% 3.20/3.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 3.20/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7295]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1572,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2879_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7289,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1572]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1569,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2878_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7283,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1569]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1566,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2877_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7277,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1566]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1557,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.20/3.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = X2 ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2875_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7259,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.20/3.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = X2 ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1557]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1554,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.20/3.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = X2 ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2874_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7253,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.20/3.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = X2 ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1554]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1549,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2872_1) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7243,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1549]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1548,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2872_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7241,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1548]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1545,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 3.20/3.42 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2871_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7235,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 3.20/3.42 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1545]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1542,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2870_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7229,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1542]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1540,plain,
% 3.20/3.42 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2869_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7225,plain,
% 3.20/3.42 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1540]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1531,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2866_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7207,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1531]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1528,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2865_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7201,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1528]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7202,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7201]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1526,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2864_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7197,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 3.20/3.42 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1526]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1520,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.20/3.42 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2862_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7185,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.20/3.42 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1520]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1510,plain,
% 3.20/3.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.20/3.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.20/3.42 | X1 = X0 ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2859_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7165,plain,
% 3.20/3.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.20/3.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.20/3.42 | X1 = X0 ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1510]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1503,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2857_1) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7151,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1503]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1502,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2857_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7149,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1502]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1499,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2856_1) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7143,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1499]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1498,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2856_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7141,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.20/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1498]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1493,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2854_1) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7131,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1493]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1492,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2854_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7129,plain,
% 3.20/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.20/3.42 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1492]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1490,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.20/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2853_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7125,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.20/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1490]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7126,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.20/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7125]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1488,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.20/3.42 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2852_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7121,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.20/3.42 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1488]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7122,plain,
% 3.20/3.42 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.20/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7121]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1486,plain,
% 3.20/3.42 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.20/3.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2851_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7117,plain,
% 3.20/3.42 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.20/3.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1486]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1482,plain,
% 3.20/3.42 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2849_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7109,plain,
% 3.20/3.42 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1482]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1480,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2848_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7105,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1480]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1477,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2847_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7099,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 3.20/3.42 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1477]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1475,plain,
% 3.20/3.42 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 3.20/3.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2846_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7095,plain,
% 3.20/3.42 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 3.20/3.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1475]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1471,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2844_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7087,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.20/3.42 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1471]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1467,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2842_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7079,plain,
% 3.20/3.42 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1467]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1465,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2841_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7075,plain,
% 3.20/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.20/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1465]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1462,plain,
% 3.20/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.20/3.42 | c_lessequals(X1,X2,X0)
% 3.20/3.42 | c_lessequals(X2,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2840_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7069,plain,
% 3.20/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.20/3.42 | c_lessequals(X1,X2,X0)
% 3.20/3.42 | c_lessequals(X2,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1462]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7070,plain,
% 3.20/3.42 ( c_lessequals(X0,X1,X2)
% 3.20/3.42 | c_lessequals(X1,X0,X2)
% 3.20/3.42 | ~ class_Orderings_Olinorder(X2) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7069]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1450,plain,
% 3.20/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.20/3.42 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.20/3.42 | c_lessequals(X2,X1,X0) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2836_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7045,plain,
% 3.20/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.20/3.42 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.20/3.42 | c_lessequals(X2,X1,X0) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1450]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_7046,plain,
% 3.20/3.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.20/3.42 | c_lessequals(X1,X0,X2)
% 3.20/3.42 | ~ class_Orderings_Olinorder(X2) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_7045]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1409,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2825_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_6963,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1409]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1407,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.20/3.42 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2824_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_6959,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.20/3.42 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1407]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1396,plain,
% 3.20/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.20/3.42 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2820_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_6937,plain,
% 3.20/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.20/3.42 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1396]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1394,plain,
% 3.20/3.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.20/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2819_0) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_6933,plain,
% 3.20/3.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.20/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.20/3.42 inference(copy,[status(esa)],[c_1394]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_6934,plain,
% 3.20/3.42 ( c_lessequals(X0,X1,tc_nat)
% 3.20/3.42 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.20/3.42 inference(rewriting,[status(thm)],[c_6933]) ).
% 3.20/3.42
% 3.20/3.42 cnf(c_1392,plain,
% 3.20/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2818_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6929,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1392]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6930,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6929]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1390,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2817_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6925,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1390]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6926,plain,
% 3.21/3.42 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6925]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1386,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2815_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6917,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1386]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6918,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6917]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1382,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2813_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6909,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1382]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1380,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2812_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6905,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1380]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6906,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6905]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1378,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2811_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6901,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1378]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1376,plain,
% 3.21/3.42 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2810_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6897,plain,
% 3.21/3.42 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1376]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1374,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2809_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6893,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1374]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1370,plain,
% 3.21/3.42 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2807_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6885,plain,
% 3.21/3.42 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1370]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6886,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6885]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1362,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2804_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6869,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1362]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1360,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2803_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6865,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1360]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1351,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | X1 = X0
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2800_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6847,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | X1 = X0
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1351]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6848,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | X1 = X0 ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6847]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1348,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | X0 = X1
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2799_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6841,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | X0 = X1
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1348]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6842,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | X0 = X1 ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6841]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1344,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2797_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6833,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1344]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6834,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6833]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1342,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2796_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6829,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1342]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6830,plain,
% 3.21/3.42 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.21/3.42 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6829]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1307,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | X0 = c_Suc(X1)
% 3.21/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2787_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6759,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | X0 = c_Suc(X1)
% 3.21/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1307]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6760,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | X0 = c_Suc(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6759]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1305,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2786_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6755,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1305]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1303,plain,
% 3.21/3.42 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.21/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2785_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6751,plain,
% 3.21/3.42 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.21/3.42 | c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1303]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1299,plain,
% 3.21/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 3.21/3.42 | X0 = X2 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2783_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6743,plain,
% 3.21/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 3.21/3.42 | X0 = X2 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1299]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1297,plain,
% 3.21/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 3.21/3.42 | X1 = X2 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2782_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6739,plain,
% 3.21/3.42 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 3.21/3.42 | X1 = X2 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1297]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1295,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2781_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6735,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1295]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1293,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2780_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6731,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1293]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1290,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2779_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6725,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1290]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1288,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 3.21/3.42 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2778_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6721,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 3.21/3.42 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1288]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1286,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2777_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6717,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1286]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1284,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2776_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6713,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1284]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1282,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2775_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6709,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1282]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6710,plain,
% 3.21/3.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6709]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1279,plain,
% 3.21/3.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.21/3.42 | X1 = X0 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2774_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6703,plain,
% 3.21/3.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.21/3.42 | X1 = X0 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1279]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1277,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2773_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6699,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1277]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6700,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6699]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1275,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2772_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6695,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1275]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6696,plain,
% 3.21/3.42 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6695]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1273,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2771_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6691,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1273]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1270,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.42 | X0 = X1 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2770_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6685,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.21/3.42 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.42 | X0 = X1 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1270]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1264,plain,
% 3.21/3.42 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2768_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6673,plain,
% 3.21/3.42 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1264]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6674,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.21/3.42 | ~ class_Orderings_Opreorder(X2) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6673]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1261,plain,
% 3.21/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2767_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6667,plain,
% 3.21/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1261]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6668,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.21/3.42 | ~ class_Orderings_Olinorder(X2) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6667]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1258,plain,
% 3.21/3.42 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2766_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6661,plain,
% 3.21/3.42 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1258]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6662,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.21/3.42 | ~ class_Orderings_Oorder(X2) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6661]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1255,plain,
% 3.21/3.42 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.42 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2765_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6655,plain,
% 3.21/3.42 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.42 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1255]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6656,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.42 | ~ c_lessequals(X1,X0,X2)
% 3.21/3.42 | ~ class_Orderings_Opreorder(X2) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6655]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1249,plain,
% 3.21/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_lessequals(X2,X1,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2763_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6643,plain,
% 3.21/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.42 | ~ c_lessequals(X2,X1,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1249]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6644,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.42 | ~ c_lessequals(X1,X0,X2)
% 3.21/3.42 | ~ class_Orderings_Olinorder(X2) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6643]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1246,plain,
% 3.21/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.21/3.42 | ~ c_lessequals(X1,X1,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2762_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6637,plain,
% 3.21/3.42 ( ~ class_Orderings_Olinorder(X0)
% 3.21/3.42 | ~ c_lessequals(X1,X1,X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1246]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6638,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 3.21/3.42 | ~ c_lessequals(X0,X0,X1)
% 3.21/3.42 | ~ class_Orderings_Olinorder(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6637]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1243,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 3.21/3.42 | X1 = X2 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2761_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6631,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 3.21/3.42 | X1 = X2 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1243]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1240,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 3.21/3.42 | X2 = X3 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2760_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6625,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.42 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 3.21/3.42 | X2 = X3 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1240]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1237,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 3.21/3.42 | X1 = X3 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2759_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6619,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 3.21/3.42 | X1 = X3 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1237]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1234,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.21/3.42 | X2 = X3 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2758_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6613,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.21/3.42 | X2 = X3 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1234]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1231,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.21/3.42 | X2 = X3 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2757_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6607,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.21/3.42 | X2 = X3 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1231]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1229,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2756_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6603,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1229]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6604,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6603]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1212,plain,
% 3.21/3.42 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2751_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6569,plain,
% 3.21/3.42 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.21/3.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1212]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6570,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6569]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1205,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2749_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6555,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1205]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6556,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6555]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1202,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2748_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6549,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1202]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6550,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6549]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1167,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2739_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6479,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1167]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6480,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6479]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1164,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.42 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2738_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6473,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.42 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1164]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6474,plain,
% 3.21/3.42 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 3.21/3.42 | ~ c_lessequals(X0,X2,tc_nat)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6473]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1162,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2737_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6469,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1162]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6470,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6469]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1159,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2736_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6463,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 3.21/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1159]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6464,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 3.21/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6463]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1151,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.42 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2733_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6447,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.42 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1151]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1141,plain,
% 3.21/3.42 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 3.21/3.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2730_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6427,plain,
% 3.21/3.42 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 3.21/3.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1141]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6428,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6427]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1106,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.42 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.21/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2721_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6357,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.42 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.21/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1106]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1103,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.21/3.42 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2720_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6351,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.21/3.42 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1103]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1102,plain,
% 3.21/3.42 ( c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X0,X2,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X2,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2719_2) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6349,plain,
% 3.21/3.42 ( c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X0,X2,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X2,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1102]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1101,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | c_lessequals(X2,X1,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X2,X0,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2719_1) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6347,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | c_lessequals(X2,X1,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X2,X0,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1101]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1100,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X2,X0,tc_nat)
% 3.21/3.42 | c_lessequals(X2,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2719_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6345,plain,
% 3.21/3.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.42 | ~ c_lessequals(X2,X0,tc_nat)
% 3.21/3.42 | c_lessequals(X2,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1100]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1098,plain,
% 3.21/3.42 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))
% 3.21/3.42 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2718_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6341,plain,
% 3.21/3.42 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))
% 3.21/3.42 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1098]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6342,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.42 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 3.21/3.42 inference(rewriting,[status(thm)],[c_6341]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1096,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.42 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2717_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6337,plain,
% 3.21/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.42 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1096]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1094,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2716_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6333,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1094]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1092,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2715_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6329,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1092]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1090,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2714_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6325,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1090]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1088,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2713_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6321,plain,
% 3.21/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.42 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1088]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1087,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2712_2) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6319,plain,
% 3.21/3.42 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1087]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1077,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2709_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6299,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1077]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1071,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2706_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6287,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1071]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1069,plain,
% 3.21/3.42 ( ~ class_Power_Opower(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2705_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6283,plain,
% 3.21/3.42 ( ~ class_Power_Opower(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1069]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1067,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2704_0) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_6279,plain,
% 3.21/3.42 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.21/3.42 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.21/3.42 inference(copy,[status(esa)],[c_1067]) ).
% 3.21/3.42
% 3.21/3.42 cnf(c_1065,plain,
% 3.21/3.42 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.21/3.42 | c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2703_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6275,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1065]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1063,plain,
% 3.21/3.43 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 3.21/3.43 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2702_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6271,plain,
% 3.21/3.43 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 3.21/3.43 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1063]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6272,plain,
% 3.21/3.43 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.21/3.43 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6271]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1061,plain,
% 3.21/3.43 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2701_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6267,plain,
% 3.21/3.43 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1061]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6268,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.21/3.43 | ~ class_Orderings_Opreorder(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6267]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1057,plain,
% 3.21/3.43 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2700_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6259,plain,
% 3.21/3.43 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1057]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6260,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.43 | ~ class_Orderings_Oorder(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6259]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1052,plain,
% 3.21/3.43 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2699_1) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6249,plain,
% 3.21/3.43 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1052]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6250,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.43 | ~ c_lessequals(X3,X1,X2)
% 3.21/3.43 | ~ class_Orderings_Opreorder(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6249]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1045,plain,
% 3.21/3.43 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.43 | c_lessequals(X1,X2,X0)
% 3.21/3.43 | ~ c_lessequals(X1,X3,X0)
% 3.21/3.43 | ~ c_lessequals(X3,X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2697_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6235,plain,
% 3.21/3.43 ( ~ class_Orderings_Opreorder(X0)
% 3.21/3.43 | c_lessequals(X1,X2,X0)
% 3.21/3.43 | ~ c_lessequals(X1,X3,X0)
% 3.21/3.43 | ~ c_lessequals(X3,X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1045]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6236,plain,
% 3.21/3.43 ( c_lessequals(X0,X1,X2)
% 3.21/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.21/3.43 | ~ c_lessequals(X3,X1,X2)
% 3.21/3.43 | ~ class_Orderings_Opreorder(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6235]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1036,plain,
% 3.21/3.43 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2695_1) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6217,plain,
% 3.21/3.43 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1036]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6218,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.21/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.21/3.43 | ~ class_Orderings_Oorder(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6217]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1033,plain,
% 3.21/3.43 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.43 | c_lessequals(X1,X2,X0)
% 3.21/3.43 | ~ c_lessequals(X3,X2,X0)
% 3.21/3.43 | ~ c_lessequals(X1,X3,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2694_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6211,plain,
% 3.21/3.43 ( ~ class_Orderings_Oorder(X0)
% 3.21/3.43 | c_lessequals(X1,X2,X0)
% 3.21/3.43 | ~ c_lessequals(X3,X2,X0)
% 3.21/3.43 | ~ c_lessequals(X1,X3,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1033]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6212,plain,
% 3.21/3.43 ( c_lessequals(X0,X1,X2)
% 3.21/3.43 | ~ c_lessequals(X3,X1,X2)
% 3.21/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.21/3.43 | ~ class_Orderings_Oorder(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6211]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1029,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2693_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6203,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1029]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6204,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6203]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1023,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2690_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6191,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1023]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6192,plain,
% 3.21/3.43 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6191]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1021,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2689_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6187,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1021]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6188,plain,
% 3.21/3.43 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6187]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1015,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2686_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6175,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1015]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6176,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6175]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1013,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2685_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6171,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1013]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6172,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6171]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1010,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.21/3.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2684_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6165,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.21/3.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1010]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1008,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2683_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6161,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1008]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1004,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1 ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2681_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6153,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1 ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1004]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1002,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2680_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6149,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1002]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_1000,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2679_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6145,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_1000]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6146,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6145]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_997,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.21/3.43 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2678_1) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6139,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.21/3.43 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_997]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_996,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.21/3.43 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2678_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6137,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.21/3.43 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_996]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_994,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2677_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6133,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_994]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_992,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2676_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6129,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_992]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_990,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2675_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6125,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_990]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_988,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2674_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6121,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_988]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6122,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6121]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_986,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2673_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6117,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_986]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6118,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6117]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_984,plain,
% 3.21/3.43 ( ~ c_Lambda_Obeta(X0,X1)
% 3.21/3.43 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2672_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6113,plain,
% 3.21/3.43 ( ~ c_Lambda_Obeta(X0,X1)
% 3.21/3.43 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_984]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6114,plain,
% 3.21/3.43 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 3.21/3.43 | ~ c_Lambda_Obeta(X0,X3) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6113]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_982,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2671_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6109,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_982]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_980,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2670_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6105,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_980]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6106,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6105]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_976,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2668_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6097,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_976]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_974,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2667_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6093,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_974]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_971,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2666_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6087,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_971]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6088,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6087]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_968,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2665_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6081,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_968]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6082,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.43 | ~ c_lessequals(X0,X1,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6081]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_966,plain,
% 3.21/3.43 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2664_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6077,plain,
% 3.21/3.43 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_966]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6078,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6077]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_963,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2663_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6071,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_963]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6072,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6071]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_961,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2662_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6067,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_961]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6068,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6067]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_958,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2661_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6061,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_958]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6062,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6061]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_955,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2660_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6055,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_955]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6056,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6055]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_952,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2659_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6049,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_952]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6050,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6049]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_949,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2658_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6043,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_949]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6044,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6043]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_946,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2657_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6037,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_946]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6038,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6037]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_943,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2656_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6031,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_943]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6032,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.43 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6031]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_940,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2655_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6025,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_940]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6026,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_6025]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_928,plain,
% 3.21/3.43 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 3.21/3.43 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2652_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_6001,plain,
% 3.21/3.43 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 3.21/3.43 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 3.21/3.43 inference(copy,[status(esa)],[c_928]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_921,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2650_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5987,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_921]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5988,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5987]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_905,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2646_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5955,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_905]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_877,plain,
% 3.21/3.43 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.43 | c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2639_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5899,plain,
% 3.21/3.43 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.43 | c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_877]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_875,plain,
% 3.21/3.43 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.43 | c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2638_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5895,plain,
% 3.21/3.43 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.43 | c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_875]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_873,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2637_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5891,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_873]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_871,plain,
% 3.21/3.43 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2636_1) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5887,plain,
% 3.21/3.43 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_871]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5888,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5887]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_868,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2635_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5881,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_868]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_825,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2623_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5795,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_825]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_818,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2620_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5781,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_818]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_814,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2618_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5773,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_814]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_812,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2617_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5769,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_812]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_810,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2616_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5765,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_810]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_806,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2614_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5757,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_806]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_804,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2613_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5753,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_804]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_800,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2611_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5745,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_800]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_798,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2610_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5741,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_798]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_796,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2609_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5737,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_796]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_794,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2608_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5733,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_794]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_792,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2607_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5729,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_792]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_790,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2606_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5725,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.21/3.43 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_790]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_774,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2600_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5693,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_774]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_766,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2598_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5677,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_766]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_764,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2597_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5673,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_764]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_762,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.43 | c_Lambda_Olift(c_Lambda_Olift(X2,X0),c_Suc(X1)) = c_Lambda_Olift(c_Lambda_Olift(X2,X1),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2596_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5669,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.43 | c_Lambda_Olift(c_Lambda_Olift(X2,X0),c_Suc(X1)) = c_Lambda_Olift(c_Lambda_Olift(X2,X1),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_762]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_760,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2595_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5665,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_760]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5666,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5665]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_758,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2594_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5661,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_758]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5662,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5661]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_756,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2593_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5657,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_756]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5658,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5657]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_754,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2592_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5653,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_754]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5654,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_lessequals(X2,X1,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5653]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_752,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2591_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5649,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_752]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5650,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5649]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_750,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2590_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5645,plain,
% 3.21/3.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_750]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5646,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 3.21/3.43 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5645]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_719,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2583_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5583,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_719]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5584,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5583]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_716,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2582_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5577,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_716]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5578,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5577]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_713,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2581_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5571,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_713]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5572,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5571]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_710,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2580_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5565,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_710]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5566,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5565]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_707,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2579_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5559,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_707]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5560,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.21/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5559]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_704,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2578_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5553,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_704]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5554,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.21/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5553]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_701,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2577_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5547,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_701]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5548,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.21/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5547]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_698,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2576_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5541,plain,
% 3.21/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.21/3.43 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_698]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5542,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.21/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.21/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5541]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_696,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2575_1) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5537,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_696]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_695,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2575_0) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5535,plain,
% 3.21/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_695]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_693,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2574_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5531,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_693]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5532,plain,
% 3.21/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.21/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.21/3.43 inference(rewriting,[status(thm)],[c_5531]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_689,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2573_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5523,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_689]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_681,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2571_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5507,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_681]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_677,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2570_2) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5499,plain,
% 3.21/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.43 inference(copy,[status(esa)],[c_677]) ).
% 3.21/3.43
% 3.21/3.43 cnf(c_5500,plain,
% 3.21/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5499]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_673,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2569_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5491,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_673]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5492,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5491]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_669,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2568_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5483,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_669]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5484,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5483]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_665,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2567_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5475,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_665]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5476,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5475]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_647,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2563_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5439,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_647]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5440,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.21/3.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5439]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_643,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2562_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5431,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_643]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5432,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5431]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_635,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2560_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5415,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_635]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5416,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5415]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_631,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2559_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5407,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_631]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5408,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5407]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_625,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2557_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5395,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_625]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5396,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5395]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_615,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2555_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5375,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_615]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5376,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5375]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_611,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2554_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5367,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_611]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5368,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5367]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_609,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2553_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5363,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_609]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5364,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5363]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_605,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2552_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5355,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_605]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5356,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5355]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_599,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2551_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5343,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_599]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5344,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5343]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_593,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2549_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5331,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_593]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5332,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5331]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_589,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2548_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5323,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_589]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5324,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5323]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_581,plain,
% 3.21/3.44 ( c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)
% 3.21/3.44 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2546_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5307,plain,
% 3.21/3.44 ( c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)
% 3.21/3.44 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_581]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_538,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2534_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5221,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_538]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_536,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2533_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5217,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_536]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_534,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X0,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2532_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5213,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X0,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_534]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_531,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2531_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5207,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 3.21/3.44 inference(copy,[status(esa)],[c_531]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_529,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2530_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5203,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_529]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_527,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2529_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5199,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_527]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5200,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5199]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_525,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2528_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5195,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_525]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5196,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5195]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_523,plain,
% 3.21/3.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2527_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5191,plain,
% 3.21/3.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_523]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_521,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2526_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5187,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 3.21/3.44 inference(copy,[status(esa)],[c_521]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_512,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2523_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5169,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_512]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_507,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2522_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5159,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_507]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5160,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5159]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_506,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2521_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5157,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_506]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_503,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_lessequals(X0,X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2520_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5151,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_lessequals(X0,X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_503]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_499,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2519_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5143,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_499]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_497,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2518_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5139,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_497]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_493,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2516_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5131,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_493]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_491,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2515_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5127,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_491]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_489,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2514_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5123,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_489]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_487,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2513_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5119,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_487]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_485,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2512_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5115,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_485]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_483,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2511_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5111,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_483]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_481,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2510_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5107,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_481]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_479,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2509_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5103,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_479]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_477,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2508_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5099,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_477]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_474,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2507_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5093,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_474]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_471,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2506_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5087,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_471]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_467,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.44 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2505_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5079,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.44 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_467]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5080,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.44 | ~ c_lessequals(X1,X4,X2)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5079]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_461,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2503_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5067,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_461]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5068,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5067]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_457,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.21/3.44 | ~ c_lessequals(X1,X3,X0)
% 3.21/3.44 | ~ c_lessequals(X2,X4,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2502_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5059,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.21/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.21/3.44 | ~ c_lessequals(X1,X3,X0)
% 3.21/3.44 | ~ c_lessequals(X2,X4,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_457]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5060,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.21/3.44 | ~ c_lessequals(X0,X3,X2)
% 3.21/3.44 | ~ c_lessequals(X1,X4,X2)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5059]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_453,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2501_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5051,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_453]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5052,plain,
% 3.21/3.44 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5051]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_434,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2496_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5013,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_434]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5014,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.44 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5013]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_429,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2495_2) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5003,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.21/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_429]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_5004,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.21/3.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_5003]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_407,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2490_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4959,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_407]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4960,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_4959]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_415,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2492_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4975,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_415]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4976,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_4975]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_387,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2485_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4919,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_387]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4920,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_4919]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_383,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2484_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4911,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_383]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4912,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_4911]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_343,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2474_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4831,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_343]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_341,plain,
% 3.21/3.44 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2473_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4827,plain,
% 3.21/3.44 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 3.21/3.44 | c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_341]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_338,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X0,X2,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2472_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4821,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X0,X2,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_338]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_323,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2467_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4791,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_323]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4792,plain,
% 3.21/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.21/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.21/3.44 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_4791]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_317,plain,
% 3.21/3.44 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.44 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2465_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4779,plain,
% 3.21/3.44 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.44 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_317]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4780,plain,
% 3.21/3.44 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 3.21/3.44 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_4779]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_314,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.21/3.44 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.44 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2464_1) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4773,plain,
% 3.21/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.21/3.44 | ~ c_lessequals(X1,X2,X0)
% 3.21/3.44 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.21/3.44 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_314]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4774,plain,
% 3.21/3.44 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.21/3.44 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 3.21/3.44 | ~ c_lessequals(X4,X2,X3)
% 3.21/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 3.21/3.44 inference(rewriting,[status(thm)],[c_4773]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_308,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2462_3) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4761,plain,
% 3.21/3.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_308]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_303,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2461_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4751,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_303]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_301,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2460_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4747,plain,
% 3.21/3.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.21/3.44 | c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_301]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_286,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2456_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4717,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_286]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_284,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2455_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4713,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_284]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_276,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2451_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4697,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_276]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_274,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2450_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4693,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_274]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_272,plain,
% 3.21/3.44 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2449_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4689,plain,
% 3.21/3.44 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_272]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_270,plain,
% 3.21/3.44 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2448_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4685,plain,
% 3.21/3.44 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_270]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_268,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2447_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4681,plain,
% 3.21/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.44 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_268]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_266,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2446_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4677,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_266]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_218,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2434_1) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4581,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_218]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_217,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2434_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4579,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_217]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_214,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2433_1) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4573,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_214]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_213,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2433_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4571,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_213]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_210,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2432_1) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4565,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_210]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_209,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2432_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4563,plain,
% 3.21/3.44 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.21/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.21/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.21/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.21/3.44 inference(copy,[status(esa)],[c_209]) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_144,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.44 | c_Lambda_Osubst(c_Lambda_Olift(X2,X0),c_Lambda_Olift(X3,X0),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X1),X0) ),
% 3.21/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2415_0) ).
% 3.21/3.44
% 3.21/3.44 cnf(c_4433,plain,
% 3.21/3.44 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.44 | c_Lambda_Osubst(c_Lambda_Olift(X2,X0),c_Lambda_Olift(X3,X0),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X1),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_144]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_142,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2414_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4429,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_142]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4430,plain,
% 3.21/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.21/3.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4429]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_130,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2410_2) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4405,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_130]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_126,plain,
% 3.21/3.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | c_lessequals(X0,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2409_2) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4397,plain,
% 3.21/3.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | c_lessequals(X0,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_126]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_125,plain,
% 3.21/3.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.45 | c_lessequals(X0,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2409_1) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4395,plain,
% 3.21/3.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.45 | c_lessequals(X0,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_125]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_124,plain,
% 3.21/3.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.45 | c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2409_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4393,plain,
% 3.21/3.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X2,tc_nat)
% 3.21/3.45 | ~ c_lessequals(X1,X0,tc_nat)
% 3.21/3.45 | c_lessequals(X0,X2,tc_nat) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_124]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_110,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2406_4) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4365,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_110]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4366,plain,
% 3.21/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.21/3.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4365]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_86,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2402_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4317,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_86]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_84,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2401_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4313,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.21/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_84]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_82,plain,
% 3.21/3.45 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2400_2) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4309,plain,
% 3.21/3.45 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_82]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_78,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2399_2) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4301,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_78]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_74,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2398_2) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4293,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_74]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_68,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2397_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4281,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_68]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4282,plain,
% 3.21/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.21/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4281]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_66,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2396_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4277,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_66]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4278,plain,
% 3.21/3.45 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.21/3.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4277]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_64,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.45 | c_Lambda_Osubst(c_Lambda_Olift(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X3,X1),X0) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X0),X1) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2395_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4273,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.45 | c_Lambda_Osubst(c_Lambda_Olift(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X3,X1),X0) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X0),X1) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_64]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_62,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.45 | c_Lambda_Osubst(c_Lambda_Osubst(X2,c_Lambda_Olift(X3,X0),c_Suc(X1)),c_Lambda_Osubst(X4,X3,X1),X0) = c_Lambda_Osubst(c_Lambda_Osubst(X2,X4,X0),X3,X1) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2394_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4269,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 3.21/3.45 | c_Lambda_Osubst(c_Lambda_Osubst(X2,c_Lambda_Olift(X3,X0),c_Suc(X1)),c_Lambda_Osubst(X4,X3,X1),X0) = c_Lambda_Osubst(c_Lambda_Osubst(X2,X4,X0),X3,X1) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_62]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_60,plain,
% 3.21/3.45 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2393_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4265,plain,
% 3.21/3.45 ( ~ class_Divides_Oring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_60]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_58,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2392_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4261,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_58]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_56,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2391_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4257,plain,
% 3.21/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.21/3.45 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_56]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_44,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2388_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4233,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_44]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_41,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 3.21/3.45 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2387_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4227,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 3.21/3.45 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_41]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_38,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2386_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4221,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 3.21/3.45 inference(copy,[status(esa)],[c_38]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4222,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4221]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_36,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2385_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4217,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_36]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4218,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.21/3.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4217]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_26,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2381_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4197,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.21/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_26]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_24,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2380_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4193,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_24]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4194,plain,
% 3.21/3.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 3.21/3.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4193]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_21,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.21/3.45 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2379_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4187,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.21/3.45 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_21]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_18,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2378_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4181,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_18]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4182,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4181]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_15,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2377_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4175,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_15]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4176,plain,
% 3.21/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.21/3.45 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4175]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_9,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2375_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4163,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_9]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4164,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.21/3.45 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4163]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_6,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2374_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4157,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.21/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_6]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_0,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 3.21/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_403ff5.p', c_0_2372_0) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4145,plain,
% 3.21/3.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 3.21/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 3.21/3.45 inference(copy,[status(esa)],[c_0]) ).
% 3.21/3.45
% 3.21/3.45 cnf(c_4146,plain,
% 3.21/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.21/3.45 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.21/3.45 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.21/3.45 inference(rewriting,[status(thm)],[c_4145]) ).
% 3.21/3.45
% 3.21/3.45
% 3.21/3.45
% 3.21/3.45 % ------ Statistics
% 3.21/3.45
% 3.21/3.45 % ------ General
% 3.21/3.45
% 3.21/3.45 % num_of_input_clauses: 1890
% 3.21/3.45 % num_of_input_neg_conjectures: 2
% 3.21/3.45 % num_of_splits: 0
% 3.21/3.45 % num_of_split_atoms: 0
% 3.21/3.45 % num_of_sem_filtered_clauses: 0
% 3.21/3.45 % num_of_subtypes: 0
% 3.21/3.45 % monotx_restored_types: 0
% 3.21/3.45 % sat_num_of_epr_types: 0
% 3.21/3.45 % sat_num_of_non_cyclic_types: 0
% 3.21/3.45 % sat_guarded_non_collapsed_types: 0
% 3.21/3.45 % is_epr: 0
% 3.21/3.45 % is_horn: 0
% 3.21/3.45 % has_eq: 1
% 3.21/3.45 % num_pure_diseq_elim: 0
% 3.21/3.45 % simp_replaced_by: 0
% 3.21/3.45 % res_preprocessed: 4
% 3.21/3.45 % prep_upred: 0
% 3.21/3.45 % prep_unflattend: 0
% 3.21/3.45 % pred_elim_cands: 0
% 3.21/3.45 % pred_elim: 0
% 3.21/3.45 % pred_elim_cl: 0
% 3.21/3.45 % pred_elim_cycles: 0
% 3.21/3.45 % forced_gc_time: 0
% 3.21/3.45 % gc_basic_clause_elim: 0
% 3.21/3.45 % parsing_time: 0.101
% 3.21/3.45 % sem_filter_time: 0.
% 3.21/3.45 % pred_elim_time: 0.
% 3.21/3.45 % out_proof_time: 0.
% 3.21/3.45 % monotx_time: 0.
% 3.21/3.45 % subtype_inf_time: 0.
% 3.21/3.45 % unif_index_cands_time: 0.
% 3.21/3.45 % unif_index_add_time: 0.001
% 3.21/3.45 % total_time: 2.912
% 3.21/3.45 % num_of_symbols: 106
% 3.21/3.45 % num_of_terms: 4063
% 3.21/3.45
% 3.21/3.45 % ------ Propositional Solver
% 3.21/3.45
% 3.21/3.45 % prop_solver_calls: 1
% 3.21/3.45 % prop_fast_solver_calls: 6
% 3.21/3.45 % prop_num_of_clauses: 1531
% 3.21/3.45 % prop_preprocess_simplified: 5955
% 3.21/3.45 % prop_fo_subsumed: 0
% 3.21/3.45 % prop_solver_time: 0.
% 3.21/3.45 % prop_fast_solver_time: 0.
% 3.21/3.45 % prop_unsat_core_time: 0.
% 3.21/3.45
% 3.21/3.45 % ------ QBF
% 3.21/3.45
% 3.21/3.45 % qbf_q_res: 0
% 3.21/3.45 % qbf_num_tautologies: 0
% 3.21/3.45 % qbf_prep_cycles: 0
% 3.21/3.45
% 3.21/3.45 % ------ BMC1
% 3.21/3.45
% 3.21/3.45 % bmc1_current_bound: -1
% 3.21/3.45 % bmc1_last_solved_bound: -1
% 3.21/3.45 % bmc1_unsat_core_size: -1
% 3.21/3.45 % bmc1_unsat_core_parents_size: -1
% 3.21/3.45 % bmc1_merge_next_fun: 0
% 3.21/3.45 % bmc1_unsat_core_clauses_time: 0.
% 3.21/3.45
% 3.21/3.45 % ------ Instantiation
% 3.21/3.45
% 3.21/3.45 % inst_num_of_clauses: 1706
% 3.21/3.45 % inst_num_in_passive: 0
% 3.21/3.45 % inst_num_in_active: 0
% 3.21/3.45 % inst_num_in_unprocessed: 1890
% 3.21/3.45 % inst_num_of_loops: 0
% 3.21/3.45 % inst_num_of_learning_restarts: 0
% 3.21/3.45 % inst_num_moves_active_passive: 0
% 3.21/3.45 % inst_lit_activity: 0
% 3.21/3.45 % inst_lit_activity_moves: 0
% 3.21/3.45 % inst_num_tautologies: 0
% 3.21/3.45 % inst_num_prop_implied: 0
% 3.21/3.45 % inst_num_existing_simplified: 0
% 3.21/3.45 % inst_num_eq_res_simplified: 0
% 3.21/3.45 % inst_num_child_elim: 0
% 3.21/3.45 % inst_num_of_dismatching_blockings: 0
% 3.21/3.45 % inst_num_of_non_proper_insts: 0
% 3.21/3.45 % inst_num_of_duplicates: 0
% 3.21/3.45 % inst_inst_num_from_inst_to_res: 0
% 3.21/3.45 % inst_dismatching_checking_time: 0.
% 3.21/3.45
% 3.21/3.45 % ------ Resolution
% 3.21/3.45
% 3.21/3.45 % res_num_of_clauses: 1934
% 3.21/3.45 % res_num_in_passive: 0
% 3.21/3.45 % res_num_in_active: 672
% 3.21/3.45 % res_num_of_loops: 3
% 3.21/3.45 % res_forward_subset_subsumed: 1167
% 3.21/3.45 % res_backward_subset_subsumed: 7
% 3.21/3.45 % res_forward_subsumed: 0
% 3.21/3.45 % res_backward_subsumed: 0
% 3.21/3.45 % res_forward_subsumption_resolution: 0
% 3.21/3.45 % res_backward_subsumption_resolution: 0
% 3.21/3.45 % res_clause_to_clause_subsumption: 0
% 3.21/3.45 % res_orphan_elimination: 0
% 3.21/3.45 % res_tautology_del: 0
% 3.21/3.45 % res_num_eq_res_simplified: 0
% 3.21/3.45 % res_num_sel_changes: 0
% 3.21/3.45 % res_moves_from_active_to_pass: 0
% 3.21/3.45
% 3.21/3.45 % Status Unknown
% 3.29/3.62 % Orienting using strategy ClausalAll
% 3.29/3.62 % Orientation found
% 3.29/3.62 % 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/sandbox/tmp/iprover_proof_4502a9.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_403ff5.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_3369e5 | grep -v "SZS"
% 3.29/3.65
% 3.29/3.65 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 3.29/3.65
% 3.29/3.65 %
% 3.29/3.65 % ------ iProver source info
% 3.29/3.65
% 3.29/3.65 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 3.29/3.65 % git: non_committed_changes: true
% 3.29/3.65 % git: last_make_outside_of_git: true
% 3.29/3.65
% 3.29/3.65 %
% 3.29/3.65 % ------ Input Options
% 3.29/3.65
% 3.29/3.65 % --out_options all
% 3.29/3.65 % --tptp_safe_out true
% 3.29/3.65 % --problem_path ""
% 3.29/3.65 % --include_path ""
% 3.29/3.65 % --clausifier .//eprover
% 3.29/3.65 % --clausifier_options --tstp-format
% 3.29/3.65 % --stdin false
% 3.29/3.65 % --dbg_backtrace false
% 3.29/3.65 % --dbg_dump_prop_clauses false
% 3.29/3.65 % --dbg_dump_prop_clauses_file -
% 3.29/3.65 % --dbg_out_stat false
% 3.29/3.65
% 3.29/3.65 % ------ General Options
% 3.29/3.65
% 3.29/3.65 % --fof false
% 3.29/3.65 % --time_out_real 150.
% 3.29/3.65 % --time_out_prep_mult 0.2
% 3.29/3.65 % --time_out_virtual -1.
% 3.29/3.65 % --schedule none
% 3.29/3.65 % --ground_splitting input
% 3.29/3.65 % --splitting_nvd 16
% 3.29/3.65 % --non_eq_to_eq false
% 3.29/3.65 % --prep_gs_sim true
% 3.29/3.65 % --prep_unflatten false
% 3.29/3.65 % --prep_res_sim true
% 3.29/3.65 % --prep_upred true
% 3.29/3.65 % --res_sim_input true
% 3.29/3.65 % --clause_weak_htbl true
% 3.29/3.65 % --gc_record_bc_elim false
% 3.29/3.65 % --symbol_type_check false
% 3.29/3.65 % --clausify_out false
% 3.29/3.65 % --large_theory_mode false
% 3.29/3.65 % --prep_sem_filter none
% 3.29/3.65 % --prep_sem_filter_out false
% 3.29/3.65 % --preprocessed_out false
% 3.29/3.65 % --sub_typing false
% 3.29/3.65 % --brand_transform false
% 3.29/3.65 % --pure_diseq_elim true
% 3.29/3.65 % --min_unsat_core false
% 3.29/3.65 % --pred_elim true
% 3.29/3.65 % --add_important_lit false
% 3.29/3.65 % --soft_assumptions false
% 3.29/3.65 % --reset_solvers false
% 3.29/3.65 % --bc_imp_inh []
% 3.29/3.65 % --conj_cone_tolerance 1.5
% 3.29/3.65 % --prolific_symb_bound 500
% 3.29/3.65 % --lt_threshold 2000
% 3.29/3.65
% 3.29/3.65 % ------ SAT Options
% 3.29/3.65
% 3.29/3.65 % --sat_mode false
% 3.29/3.65 % --sat_fm_restart_options ""
% 3.29/3.65 % --sat_gr_def false
% 3.29/3.65 % --sat_epr_types true
% 3.29/3.65 % --sat_non_cyclic_types false
% 3.29/3.65 % --sat_finite_models false
% 3.29/3.65 % --sat_fm_lemmas false
% 3.29/3.65 % --sat_fm_prep false
% 3.29/3.65 % --sat_fm_uc_incr true
% 3.29/3.65 % --sat_out_model small
% 3.29/3.65 % --sat_out_clauses false
% 3.29/3.65
% 3.29/3.65 % ------ QBF Options
% 3.29/3.65
% 3.29/3.65 % --qbf_mode false
% 3.29/3.65 % --qbf_elim_univ true
% 3.29/3.65 % --qbf_sk_in true
% 3.29/3.65 % --qbf_pred_elim true
% 3.29/3.65 % --qbf_split 32
% 3.29/3.65
% 3.29/3.65 % ------ BMC1 Options
% 3.29/3.65
% 3.29/3.65 % --bmc1_incremental false
% 3.29/3.65 % --bmc1_axioms reachable_all
% 3.29/3.65 % --bmc1_min_bound 0
% 3.29/3.65 % --bmc1_max_bound -1
% 3.29/3.65 % --bmc1_max_bound_default -1
% 3.29/3.65 % --bmc1_symbol_reachability true
% 3.29/3.65 % --bmc1_property_lemmas false
% 3.29/3.65 % --bmc1_k_induction false
% 3.29/3.65 % --bmc1_non_equiv_states false
% 3.29/3.65 % --bmc1_deadlock false
% 3.29/3.65 % --bmc1_ucm false
% 3.29/3.65 % --bmc1_add_unsat_core none
% 3.29/3.65 % --bmc1_unsat_core_children false
% 3.29/3.65 % --bmc1_unsat_core_extrapolate_axioms false
% 3.29/3.65 % --bmc1_out_stat full
% 3.29/3.65 % --bmc1_ground_init false
% 3.29/3.65 % --bmc1_pre_inst_next_state false
% 3.29/3.65 % --bmc1_pre_inst_state false
% 3.29/3.65 % --bmc1_pre_inst_reach_state false
% 3.29/3.65 % --bmc1_out_unsat_core false
% 3.29/3.65 % --bmc1_aig_witness_out false
% 3.29/3.65 % --bmc1_verbose false
% 3.29/3.65 % --bmc1_dump_clauses_tptp false
% 5.18/5.59 % --bmc1_dump_unsat_core_tptp false
% 5.18/5.59 % --bmc1_dump_file -
% 5.18/5.59 % --bmc1_ucm_expand_uc_limit 128
% 5.18/5.59 % --bmc1_ucm_n_expand_iterations 6
% 5.18/5.59 % --bmc1_ucm_extend_mode 1
% 5.18/5.59 % --bmc1_ucm_init_mode 2
% 5.18/5.59 % --bmc1_ucm_cone_mode none
% 5.18/5.59 % --bmc1_ucm_reduced_relation_type 0
% 5.18/5.59 % --bmc1_ucm_relax_model 4
% 5.18/5.59 % --bmc1_ucm_full_tr_after_sat true
% 5.18/5.59 % --bmc1_ucm_expand_neg_assumptions false
% 5.18/5.59 % --bmc1_ucm_layered_model none
% 5.18/5.59 % --bmc1_ucm_max_lemma_size 10
% 5.18/5.59
% 5.18/5.59 % ------ AIG Options
% 5.18/5.59
% 5.18/5.59 % --aig_mode false
% 5.18/5.59
% 5.18/5.59 % ------ Instantiation Options
% 5.18/5.59
% 5.18/5.59 % --instantiation_flag true
% 5.18/5.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.18/5.59 % --inst_solver_per_active 750
% 5.18/5.59 % --inst_solver_calls_frac 0.5
% 5.18/5.59 % --inst_passive_queue_type priority_queues
% 5.18/5.59 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.18/5.59 % --inst_passive_queues_freq [25;2]
% 5.18/5.59 % --inst_dismatching true
% 5.18/5.59 % --inst_eager_unprocessed_to_passive true
% 5.18/5.59 % --inst_prop_sim_given true
% 5.18/5.59 % --inst_prop_sim_new false
% 5.18/5.59 % --inst_orphan_elimination true
% 5.18/5.59 % --inst_learning_loop_flag true
% 5.18/5.59 % --inst_learning_start 3000
% 5.18/5.59 % --inst_learning_factor 2
% 5.18/5.59 % --inst_start_prop_sim_after_learn 3
% 5.18/5.59 % --inst_sel_renew solver
% 5.18/5.59 % --inst_lit_activity_flag true
% 5.18/5.59 % --inst_out_proof true
% 5.18/5.59
% 5.18/5.59 % ------ Resolution Options
% 5.18/5.59
% 5.18/5.59 % --resolution_flag true
% 5.18/5.59 % --res_lit_sel kbo_max
% 5.18/5.59 % --res_to_prop_solver none
% 5.18/5.59 % --res_prop_simpl_new false
% 5.18/5.59 % --res_prop_simpl_given false
% 5.18/5.59 % --res_passive_queue_type priority_queues
% 5.18/5.59 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.18/5.59 % --res_passive_queues_freq [15;5]
% 5.18/5.59 % --res_forward_subs full
% 5.18/5.59 % --res_backward_subs full
% 5.18/5.59 % --res_forward_subs_resolution true
% 5.18/5.59 % --res_backward_subs_resolution true
% 5.18/5.59 % --res_orphan_elimination false
% 5.18/5.59 % --res_time_limit 1000.
% 5.18/5.59 % --res_out_proof true
% 5.18/5.59 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4502a9.s
% 5.18/5.59 % --modulo true
% 5.18/5.59
% 5.18/5.59 % ------ Combination Options
% 5.18/5.59
% 5.18/5.59 % --comb_res_mult 1000
% 5.18/5.59 % --comb_inst_mult 300
% 5.18/5.59 % ------
% 5.18/5.59
% 5.18/5.59 % ------ Parsing...% successful
% 5.18/5.59
% 5.18/5.59 % ------ 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 %
% 5.18/5.59
% 5.18/5.59 % ------ Proving...
% 5.18/5.59 % ------ Problem Properties
% 5.18/5.59
% 5.18/5.59 %
% 5.18/5.59 % EPR false
% 5.18/5.59 % Horn false
% 5.18/5.59 % Has equality true
% 5.18/5.59
% 5.18/5.59 % % ------ Input Options Time Limit: Unbounded
% 5.18/5.59
% 5.18/5.59
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 Compiling...
% 5.18/5.59 Loading plugin: done.
% 5.18/5.59 % % ------ Current options:
% 5.18/5.59
% 5.18/5.59 % ------ Input Options
% 5.18/5.59
% 5.18/5.59 % --out_options all
% 5.18/5.59 % --tptp_safe_out true
% 5.18/5.59 % --problem_path ""
% 5.18/5.59 % --include_path ""
% 5.18/5.59 % --clausifier .//eprover
% 5.18/5.59 % --clausifier_options --tstp-format
% 5.18/5.59 % --stdin false
% 5.18/5.59 % --dbg_backtrace false
% 5.18/5.59 % --dbg_dump_prop_clauses false
% 5.18/5.59 % --dbg_dump_prop_clauses_file -
% 5.18/5.59 % --dbg_out_stat false
% 5.18/5.59
% 5.18/5.59 % ------ General Options
% 5.18/5.59
% 5.18/5.59 % --fof false
% 5.18/5.59 % --time_out_real 150.
% 5.18/5.59 % --time_out_prep_mult 0.2
% 5.18/5.59 % --time_out_virtual -1.
% 5.18/5.59 % --schedule none
% 5.18/5.59 % --ground_splitting input
% 5.18/5.59 % --splitting_nvd 16
% 5.18/5.59 % --non_eq_to_eq false
% 5.18/5.59 % --prep_gs_sim true
% 5.18/5.59 % --prep_unflatten false
% 5.18/5.59 % --prep_res_sim true
% 5.18/5.59 % --prep_upred true
% 5.18/5.59 % --res_sim_input true
% 5.18/5.59 % --clause_weak_htbl true
% 5.18/5.59 % --gc_record_bc_elim false
% 5.18/5.59 % --symbol_type_check false
% 5.18/5.59 % --clausify_out false
% 5.18/5.59 % --large_theory_mode false
% 5.18/5.59 % --prep_sem_filter none
% 5.18/5.59 % --prep_sem_filter_out false
% 5.18/5.59 % --preprocessed_out false
% 5.18/5.59 % --sub_typing false
% 5.18/5.59 % --brand_transform false
% 5.18/5.59 % --pure_diseq_elim true
% 5.18/5.59 % --min_unsat_core false
% 5.18/5.59 % --pred_elim true
% 5.18/5.59 % --add_important_lit false
% 5.18/5.59 % --soft_assumptions false
% 5.18/5.59 % --reset_solvers false
% 5.18/5.59 % --bc_imp_inh []
% 5.18/5.59 % --conj_cone_tolerance 1.5
% 5.18/5.59 % --prolific_symb_bound 500
% 5.18/5.59 % --lt_threshold 2000
% 5.18/5.59
% 5.18/5.59 % ------ SAT Options
% 5.18/5.59
% 5.18/5.59 % --sat_mode false
% 5.18/5.59 % --sat_fm_restart_options ""
% 5.18/5.59 % --sat_gr_def false
% 5.18/5.59 % --sat_epr_types true
% 5.18/5.59 % --sat_non_cyclic_types false
% 5.18/5.59 % --sat_finite_models false
% 5.18/5.59 % --sat_fm_lemmas false
% 5.18/5.59 % --sat_fm_prep false
% 5.18/5.59 % --sat_fm_uc_incr true
% 5.18/5.59 % --sat_out_model small
% 5.18/5.59 % --sat_out_clauses false
% 5.18/5.59
% 5.18/5.59 % ------ QBF Options
% 5.18/5.59
% 5.18/5.59 % --qbf_mode false
% 5.18/5.59 % --qbf_elim_univ true
% 5.18/5.59 % --qbf_sk_in true
% 5.18/5.59 % --qbf_pred_elim true
% 5.18/5.59 % --qbf_split 32
% 5.18/5.59
% 5.18/5.59 % ------ BMC1 Options
% 5.18/5.59
% 5.18/5.59 % --bmc1_incremental false
% 5.18/5.59 % --bmc1_axioms reachable_all
% 5.18/5.59 % --bmc1_min_bound 0
% 5.18/5.59 % --bmc1_max_bound -1
% 5.18/5.59 % --bmc1_max_bound_default -1
% 5.18/5.59 % --bmc1_symbol_reachability true
% 5.18/5.59 % --bmc1_property_lemmas false
% 5.18/5.59 % --bmc1_k_induction false
% 5.18/5.59 % --bmc1_non_equiv_states false
% 5.18/5.59 % --bmc1_deadlock false
% 5.18/5.59 % --bmc1_ucm false
% 5.18/5.59 % --bmc1_add_unsat_core none
% 5.18/5.59 % --bmc1_unsat_core_children false
% 5.18/5.59 % --bmc1_unsat_core_extrapolate_axioms false
% 5.18/5.59 % --bmc1_out_stat full
% 5.18/5.59 % --bmc1_ground_init false
% 5.18/5.59 % --bmc1_pre_inst_next_state false
% 5.18/5.59 % --bmc1_pre_inst_state false
% 5.18/5.59 % --bmc1_pre_inst_reach_state false
% 5.18/5.59 % --bmc1_out_unsat_core false
% 5.18/5.59 % --bmc1_aig_witness_out false
% 5.18/5.59 % --bmc1_verbose false
% 5.18/5.59 % --bmc1_dump_clauses_tptp false
% 5.18/5.59 % --bmc1_dump_unsat_core_tptp false
% 5.18/5.59 % --bmc1_dump_file -
% 5.18/5.59 % --bmc1_ucm_expand_uc_limit 128
% 5.18/5.59 % --bmc1_ucm_n_expand_iterations 6
% 5.18/5.59 % --bmc1_ucm_extend_mode 1
% 5.18/5.59 % --bmc1_ucm_init_mode 2
% 5.18/5.59 % --bmc1_ucm_cone_mode none
% 5.18/5.59 % --bmc1_ucm_reduced_relation_type 0
% 5.18/5.59 % --bmc1_ucm_relax_model 4
% 5.18/5.59 % --bmc1_ucm_full_tr_after_sat true
% 5.18/5.59 % --bmc1_ucm_expand_neg_assumptions false
% 5.18/5.59 % --bmc1_ucm_layered_model none
% 5.18/5.59 % --bmc1_ucm_max_lemma_size 10
% 5.18/5.59
% 5.18/5.59 % ------ AIG Options
% 5.18/5.59
% 5.18/5.59 % --aig_mode false
% 5.18/5.59
% 5.18/5.59 % ------ Instantiation Options
% 5.18/5.59
% 5.18/5.59 % --instantiation_flag true
% 5.18/5.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.37/153.65 % --inst_solver_per_active 750
% 153.37/153.65 % --inst_solver_calls_frac 0.5
% 153.37/153.65 % --inst_passive_queue_type priority_queues
% 153.37/153.65 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.37/153.65 % --inst_passive_queues_freq [25;2]
% 153.37/153.65 % --inst_dismatching true
% 153.37/153.65 % --inst_eager_unprocessed_to_passive true
% 153.37/153.65 % --inst_prop_sim_given true
% 153.37/153.65 % --inst_prop_sim_new false
% 153.37/153.65 % --inst_orphan_elimination true
% 153.37/153.65 % --inst_learning_loop_flag true
% 153.37/153.65 % --inst_learning_start 3000
% 153.37/153.65 % --inst_learning_factor 2
% 153.37/153.65 % --inst_start_prop_sim_after_learn 3
% 153.37/153.65 % --inst_sel_renew solver
% 153.37/153.65 % --inst_lit_activity_flag true
% 153.37/153.65 % --inst_out_proof true
% 153.37/153.65
% 153.37/153.65 % ------ Resolution Options
% 153.37/153.65
% 153.37/153.65 % --resolution_flag true
% 153.37/153.65 % --res_lit_sel kbo_max
% 153.37/153.65 % --res_to_prop_solver none
% 153.37/153.65 % --res_prop_simpl_new false
% 153.37/153.65 % --res_prop_simpl_given false
% 153.37/153.65 % --res_passive_queue_type priority_queues
% 153.37/153.65 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.37/153.65 % --res_passive_queues_freq [15;5]
% 153.37/153.65 % --res_forward_subs full
% 153.37/153.65 % --res_backward_subs full
% 153.37/153.65 % --res_forward_subs_resolution true
% 153.37/153.65 % --res_backward_subs_resolution true
% 153.37/153.65 % --res_orphan_elimination false
% 153.37/153.65 % --res_time_limit 1000.
% 153.37/153.65 % --res_out_proof true
% 153.37/153.65 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4502a9.s
% 153.37/153.65 % --modulo true
% 153.37/153.65
% 153.37/153.65 % ------ Combination Options
% 153.37/153.65
% 153.37/153.65 % --comb_res_mult 1000
% 153.37/153.65 % --comb_inst_mult 300
% 153.37/153.65 % ------
% 153.37/153.65
% 153.37/153.65
% 153.37/153.65
% 153.37/153.65 % ------ Proving...
% 153.37/153.65 %
% 153.37/153.65
% 153.37/153.65
% 153.37/153.65 % Time Out Real
% 153.37/153.65
% 153.37/153.65 % ------ Statistics
% 153.37/153.65
% 153.37/153.65 % ------ General
% 153.37/153.65
% 153.37/153.65 % num_of_input_clauses: 1890
% 153.37/153.65 % num_of_input_neg_conjectures: 2
% 153.37/153.65 % num_of_splits: 0
% 153.37/153.65 % num_of_split_atoms: 0
% 153.37/153.65 % num_of_sem_filtered_clauses: 0
% 153.37/153.65 % num_of_subtypes: 0
% 153.37/153.65 % monotx_restored_types: 0
% 153.37/153.65 % sat_num_of_epr_types: 0
% 153.37/153.65 % sat_num_of_non_cyclic_types: 0
% 153.37/153.65 % sat_guarded_non_collapsed_types: 0
% 153.37/153.65 % is_epr: 0
% 153.37/153.65 % is_horn: 0
% 153.37/153.65 % has_eq: 1
% 153.37/153.65 % num_pure_diseq_elim: 0
% 153.37/153.65 % simp_replaced_by: 3
% 153.37/153.65 % res_preprocessed: 4
% 153.37/153.65 % prep_upred: 0
% 153.37/153.65 % prep_unflattend: 0
% 153.37/153.65 % pred_elim_cands: 0
% 153.37/153.65 % pred_elim: 0
% 153.37/153.65 % pred_elim_cl: 0
% 153.37/153.65 % pred_elim_cycles: 0
% 153.37/153.65 % forced_gc_time: 0
% 153.37/153.65 % gc_basic_clause_elim: 0
% 153.37/153.65 % parsing_time: 0.1
% 153.37/153.65 % sem_filter_time: 0.
% 153.37/153.65 % pred_elim_time: 0.
% 153.37/153.65 % out_proof_time: 0.
% 153.37/153.65 % monotx_time: 0.
% 153.37/153.65 % subtype_inf_time: 0.
% 153.37/153.65 % unif_index_cands_time: 0.2
% 153.37/153.65 % unif_index_add_time: 0.303
% 153.37/153.65 % total_time: 150.017
% 153.37/153.65 % num_of_symbols: 106
% 153.37/153.65 % num_of_terms: 1495115
% 153.37/153.65
% 153.37/153.65 % ------ Propositional Solver
% 153.37/153.65
% 153.37/153.65 % prop_solver_calls: 46
% 153.37/153.65 % prop_fast_solver_calls: 6
% 153.37/153.65 % prop_num_of_clauses: 373249
% 153.37/153.65 % prop_preprocess_simplified: 695199
% 153.37/153.65 % prop_fo_subsumed: 0
% 153.37/153.65 % prop_solver_time: 0.184
% 153.37/153.65 % prop_fast_solver_time: 0.
% 153.37/153.65 % prop_unsat_core_time: 0.
% 153.37/153.65
% 153.37/153.65 % ------ QBF
% 153.37/153.65
% 153.37/153.65 % qbf_q_res: 0
% 153.37/153.65 % qbf_num_tautologies: 0
% 153.37/153.65 % qbf_prep_cycles: 0
% 153.37/153.65
% 153.37/153.65 % ------ BMC1
% 153.37/153.65
% 153.37/153.65 % bmc1_current_bound: -1
% 153.37/153.66 % bmc1_last_solved_bound: -1
% 153.37/153.66 % bmc1_unsat_core_size: -1
% 153.37/153.66 % bmc1_unsat_core_parents_size: -1
% 153.37/153.66 % bmc1_merge_next_fun: 0
% 153.37/153.66 % bmc1_unsat_core_clauses_time: 0.
% 153.37/153.66
% 153.37/153.66 % ------ Instantiation
% 153.37/153.66
% 153.37/153.66 % inst_num_of_clauses: 201647
% 153.37/153.66 % inst_num_in_passive: 188995
% 153.37/153.66 % inst_num_in_active: 9984
% 153.37/153.66 % inst_num_in_unprocessed: 2660
% 153.37/153.66 % inst_num_of_loops: 10432
% 153.37/153.66 % inst_num_of_learning_restarts: 2
% 153.37/153.66 % inst_num_moves_active_passive: 445
% 153.37/153.66 % inst_lit_activity: 175566
% 153.37/153.66 % inst_lit_activity_moves: 0
% 153.37/153.66 % inst_num_tautologies: 1
% 153.37/153.66 % inst_num_prop_implied: 0
% 153.37/153.66 % inst_num_existing_simplified: 0
% 153.37/153.66 % inst_num_eq_res_simplified: 0
% 153.37/153.66 % inst_num_child_elim: 0
% 153.37/153.66 % inst_num_of_dismatching_blockings: 33005
% 153.37/153.66 % inst_num_of_non_proper_insts: 88503
% 153.37/153.66 % inst_num_of_duplicates: 482909
% 153.37/153.66 % inst_inst_num_from_inst_to_res: 0
% 153.37/153.66 % inst_dismatching_checking_time: 85.069
% 153.37/153.66
% 153.37/153.66 % ------ Resolution
% 153.37/153.66
% 153.37/153.66 % res_num_of_clauses: 131880
% 153.37/153.66 % res_num_in_passive: 65000
% 153.37/153.66 % res_num_in_active: 65669
% 153.37/153.66 % res_num_of_loops: 65000
% 153.37/153.66 % res_forward_subset_subsumed: 1175
% 153.37/153.66 % res_backward_subset_subsumed: 0
% 153.37/153.66 % res_forward_subsumed: 0
% 153.37/153.66 % res_backward_subsumed: 0
% 153.37/153.66 % res_forward_subsumption_resolution: 0
% 153.37/153.66 % res_backward_subsumption_resolution: 0
% 153.37/153.66 % res_clause_to_clause_subsumption: 0
% 153.37/153.66 % res_orphan_elimination: 0
% 153.37/153.66 % res_tautology_del: 0
% 153.37/153.66 % res_num_eq_res_simplified: 0
% 153.37/153.66 % res_num_sel_changes: 0
% 153.37/153.66 % res_moves_from_active_to_pass: 0
% 153.37/153.66
% 153.37/153.66 % Status Unknown
% 153.37/153.66 % Last status :
% 153.37/153.66 % SZS status Unknown
%------------------------------------------------------------------------------