TSTP Solution File: LCL748-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL748-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n011.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 11:38:56 EDT 2022
% Result : Unknown 151.82s 152.64s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL748-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 07:12:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.46 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.46 % Orientation found
% 0.20/0.46 % 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_8cdbf5.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_045822 | grep -v "SZS"
% 0.20/0.48
% 0.20/0.48 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.48
% 0.20/0.48 %
% 0.20/0.48 % ------ iProver source info
% 0.20/0.48
% 0.20/0.48 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.48 % git: non_committed_changes: true
% 0.20/0.48 % git: last_make_outside_of_git: true
% 0.20/0.48
% 0.20/0.48 %
% 0.20/0.48 % ------ Input Options
% 0.20/0.48
% 0.20/0.48 % --out_options all
% 0.20/0.48 % --tptp_safe_out true
% 0.20/0.48 % --problem_path ""
% 0.20/0.48 % --include_path ""
% 0.20/0.48 % --clausifier .//eprover
% 0.20/0.48 % --clausifier_options --tstp-format
% 0.20/0.48 % --stdin false
% 0.20/0.48 % --dbg_backtrace false
% 0.20/0.48 % --dbg_dump_prop_clauses false
% 0.20/0.48 % --dbg_dump_prop_clauses_file -
% 0.20/0.48 % --dbg_out_stat false
% 0.20/0.48
% 0.20/0.48 % ------ General Options
% 0.20/0.48
% 0.20/0.48 % --fof false
% 0.20/0.48 % --time_out_real 150.
% 0.20/0.48 % --time_out_prep_mult 0.2
% 0.20/0.48 % --time_out_virtual -1.
% 0.20/0.48 % --schedule none
% 0.20/0.48 % --ground_splitting input
% 0.20/0.48 % --splitting_nvd 16
% 0.20/0.48 % --non_eq_to_eq false
% 0.20/0.48 % --prep_gs_sim true
% 0.20/0.48 % --prep_unflatten false
% 0.20/0.48 % --prep_res_sim true
% 0.20/0.48 % --prep_upred true
% 0.20/0.48 % --res_sim_input true
% 0.20/0.48 % --clause_weak_htbl true
% 0.20/0.48 % --gc_record_bc_elim false
% 0.20/0.48 % --symbol_type_check false
% 0.20/0.48 % --clausify_out false
% 0.20/0.48 % --large_theory_mode false
% 0.20/0.48 % --prep_sem_filter none
% 0.20/0.48 % --prep_sem_filter_out false
% 0.20/0.48 % --preprocessed_out false
% 0.20/0.48 % --sub_typing false
% 0.20/0.48 % --brand_transform false
% 0.20/0.48 % --pure_diseq_elim true
% 0.20/0.48 % --min_unsat_core false
% 0.20/0.48 % --pred_elim true
% 0.20/0.48 % --add_important_lit false
% 0.20/0.48 % --soft_assumptions false
% 0.20/0.48 % --reset_solvers false
% 0.20/0.48 % --bc_imp_inh []
% 0.20/0.48 % --conj_cone_tolerance 1.5
% 0.20/0.48 % --prolific_symb_bound 500
% 0.20/0.48 % --lt_threshold 2000
% 0.20/0.48
% 0.20/0.48 % ------ SAT Options
% 0.20/0.48
% 0.20/0.48 % --sat_mode false
% 0.20/0.48 % --sat_fm_restart_options ""
% 0.20/0.48 % --sat_gr_def false
% 0.20/0.48 % --sat_epr_types true
% 0.20/0.48 % --sat_non_cyclic_types false
% 0.20/0.48 % --sat_finite_models false
% 0.20/0.48 % --sat_fm_lemmas false
% 0.20/0.48 % --sat_fm_prep false
% 0.20/0.48 % --sat_fm_uc_incr true
% 0.20/0.48 % --sat_out_model small
% 0.20/0.48 % --sat_out_clauses false
% 0.20/0.48
% 0.20/0.48 % ------ QBF Options
% 0.20/0.48
% 0.20/0.48 % --qbf_mode false
% 0.20/0.48 % --qbf_elim_univ true
% 0.20/0.48 % --qbf_sk_in true
% 0.20/0.48 % --qbf_pred_elim true
% 0.20/0.48 % --qbf_split 32
% 0.20/0.48
% 0.20/0.48 % ------ BMC1 Options
% 0.20/0.48
% 0.20/0.48 % --bmc1_incremental false
% 0.20/0.48 % --bmc1_axioms reachable_all
% 0.20/0.48 % --bmc1_min_bound 0
% 0.20/0.48 % --bmc1_max_bound -1
% 0.20/0.48 % --bmc1_max_bound_default -1
% 0.20/0.48 % --bmc1_symbol_reachability true
% 0.20/0.48 % --bmc1_property_lemmas false
% 0.20/0.48 % --bmc1_k_induction false
% 0.20/0.48 % --bmc1_non_equiv_states false
% 0.20/0.48 % --bmc1_deadlock false
% 0.20/0.48 % --bmc1_ucm false
% 0.20/0.48 % --bmc1_add_unsat_core none
% 0.20/0.48 % --bmc1_unsat_core_children false
% 0.20/0.48 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.48 % --bmc1_out_stat full
% 0.20/0.48 % --bmc1_ground_init false
% 0.20/0.48 % --bmc1_pre_inst_next_state false
% 0.20/0.48 % --bmc1_pre_inst_state false
% 0.20/0.48 % --bmc1_pre_inst_reach_state false
% 0.20/0.48 % --bmc1_out_unsat_core false
% 0.20/0.48 % --bmc1_aig_witness_out false
% 0.20/0.48 % --bmc1_verbose false
% 0.20/0.48 % --bmc1_dump_clauses_tptp false
% 2.16/2.47 % --bmc1_dump_unsat_core_tptp false
% 2.16/2.47 % --bmc1_dump_file -
% 2.16/2.47 % --bmc1_ucm_expand_uc_limit 128
% 2.16/2.47 % --bmc1_ucm_n_expand_iterations 6
% 2.16/2.47 % --bmc1_ucm_extend_mode 1
% 2.16/2.47 % --bmc1_ucm_init_mode 2
% 2.16/2.47 % --bmc1_ucm_cone_mode none
% 2.16/2.47 % --bmc1_ucm_reduced_relation_type 0
% 2.16/2.47 % --bmc1_ucm_relax_model 4
% 2.16/2.47 % --bmc1_ucm_full_tr_after_sat true
% 2.16/2.47 % --bmc1_ucm_expand_neg_assumptions false
% 2.16/2.47 % --bmc1_ucm_layered_model none
% 2.16/2.47 % --bmc1_ucm_max_lemma_size 10
% 2.16/2.47
% 2.16/2.47 % ------ AIG Options
% 2.16/2.47
% 2.16/2.47 % --aig_mode false
% 2.16/2.47
% 2.16/2.47 % ------ Instantiation Options
% 2.16/2.47
% 2.16/2.47 % --instantiation_flag true
% 2.16/2.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.16/2.47 % --inst_solver_per_active 750
% 2.16/2.47 % --inst_solver_calls_frac 0.5
% 2.16/2.47 % --inst_passive_queue_type priority_queues
% 2.16/2.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.16/2.47 % --inst_passive_queues_freq [25;2]
% 2.16/2.47 % --inst_dismatching true
% 2.16/2.47 % --inst_eager_unprocessed_to_passive true
% 2.16/2.47 % --inst_prop_sim_given true
% 2.16/2.47 % --inst_prop_sim_new false
% 2.16/2.47 % --inst_orphan_elimination true
% 2.16/2.47 % --inst_learning_loop_flag true
% 2.16/2.47 % --inst_learning_start 3000
% 2.16/2.47 % --inst_learning_factor 2
% 2.16/2.47 % --inst_start_prop_sim_after_learn 3
% 2.16/2.47 % --inst_sel_renew solver
% 2.16/2.47 % --inst_lit_activity_flag true
% 2.16/2.47 % --inst_out_proof true
% 2.16/2.47
% 2.16/2.47 % ------ Resolution Options
% 2.16/2.47
% 2.16/2.47 % --resolution_flag true
% 2.16/2.47 % --res_lit_sel kbo_max
% 2.16/2.47 % --res_to_prop_solver none
% 2.16/2.47 % --res_prop_simpl_new false
% 2.16/2.47 % --res_prop_simpl_given false
% 2.16/2.47 % --res_passive_queue_type priority_queues
% 2.16/2.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.16/2.47 % --res_passive_queues_freq [15;5]
% 2.16/2.47 % --res_forward_subs full
% 2.16/2.47 % --res_backward_subs full
% 2.16/2.47 % --res_forward_subs_resolution true
% 2.16/2.47 % --res_backward_subs_resolution true
% 2.16/2.47 % --res_orphan_elimination false
% 2.16/2.47 % --res_time_limit 1000.
% 2.16/2.47 % --res_out_proof true
% 2.16/2.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8cdbf5.s
% 2.16/2.47 % --modulo true
% 2.16/2.47
% 2.16/2.47 % ------ Combination Options
% 2.16/2.47
% 2.16/2.47 % --comb_res_mult 1000
% 2.16/2.47 % --comb_inst_mult 300
% 2.16/2.47 % ------
% 2.16/2.47
% 2.16/2.47 % ------ Parsing...% successful
% 2.16/2.47
% 2.16/2.47 % ------ 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 %
% 2.16/2.47
% 2.16/2.47 % ------ Proving...
% 2.16/2.47 % ------ Problem Properties
% 2.16/2.47
% 2.16/2.47 %
% 2.16/2.47 % EPR false
% 2.16/2.47 % Horn false
% 2.16/2.47 % Has equality true
% 2.16/2.47
% 2.16/2.47 % % ------ Input Options Time Limit: Unbounded
% 2.16/2.47
% 2.16/2.47
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 Compiling...
% 2.16/2.47 Loading plugin: done.
% 2.16/2.47 % % ------ Current options:
% 2.16/2.47
% 2.16/2.47 % ------ Input Options
% 2.16/2.47
% 2.16/2.47 % --out_options all
% 2.16/2.47 % --tptp_safe_out true
% 2.16/2.47 % --problem_path ""
% 2.16/2.47 % --include_path ""
% 2.16/2.47 % --clausifier .//eprover
% 2.16/2.47 % --clausifier_options --tstp-format
% 2.16/2.47 % --stdin false
% 2.16/2.47 % --dbg_backtrace false
% 2.16/2.47 % --dbg_dump_prop_clauses false
% 2.16/2.47 % --dbg_dump_prop_clauses_file -
% 2.16/2.47 % --dbg_out_stat false
% 2.16/2.47
% 2.16/2.47 % ------ General Options
% 2.16/2.47
% 2.16/2.47 % --fof false
% 2.16/2.47 % --time_out_real 150.
% 2.16/2.47 % --time_out_prep_mult 0.2
% 2.16/2.47 % --time_out_virtual -1.
% 2.16/2.47 % --schedule none
% 2.16/2.47 % --ground_splitting input
% 2.16/2.47 % --splitting_nvd 16
% 2.16/2.47 % --non_eq_to_eq false
% 2.16/2.47 % --prep_gs_sim true
% 2.16/2.47 % --prep_unflatten false
% 2.16/2.47 % --prep_res_sim true
% 2.16/2.47 % --prep_upred true
% 2.16/2.47 % --res_sim_input true
% 2.16/2.47 % --clause_weak_htbl true
% 2.16/2.47 % --gc_record_bc_elim false
% 2.16/2.47 % --symbol_type_check false
% 2.16/2.47 % --clausify_out false
% 2.16/2.47 % --large_theory_mode false
% 2.16/2.47 % --prep_sem_filter none
% 2.16/2.47 % --prep_sem_filter_out false
% 2.16/2.47 % --preprocessed_out false
% 2.16/2.47 % --sub_typing false
% 2.16/2.47 % --brand_transform false
% 2.16/2.47 % --pure_diseq_elim true
% 2.16/2.47 % --min_unsat_core false
% 2.16/2.47 % --pred_elim true
% 2.16/2.47 % --add_important_lit false
% 2.16/2.47 % --soft_assumptions false
% 2.16/2.47 % --reset_solvers false
% 2.16/2.47 % --bc_imp_inh []
% 2.16/2.47 % --conj_cone_tolerance 1.5
% 2.16/2.47 % --prolific_symb_bound 500
% 2.16/2.47 % --lt_threshold 2000
% 2.16/2.47
% 2.16/2.47 % ------ SAT Options
% 2.16/2.47
% 2.16/2.47 % --sat_mode false
% 2.16/2.47 % --sat_fm_restart_options ""
% 2.16/2.47 % --sat_gr_def false
% 2.16/2.47 % --sat_epr_types true
% 2.16/2.47 % --sat_non_cyclic_types false
% 2.16/2.47 % --sat_finite_models false
% 2.16/2.47 % --sat_fm_lemmas false
% 2.16/2.47 % --sat_fm_prep false
% 2.16/2.47 % --sat_fm_uc_incr true
% 2.16/2.47 % --sat_out_model small
% 2.16/2.47 % --sat_out_clauses false
% 2.16/2.47
% 2.16/2.47 % ------ QBF Options
% 2.16/2.47
% 2.16/2.47 % --qbf_mode false
% 2.16/2.47 % --qbf_elim_univ true
% 2.16/2.47 % --qbf_sk_in true
% 2.16/2.47 % --qbf_pred_elim true
% 2.16/2.47 % --qbf_split 32
% 2.16/2.47
% 2.16/2.47 % ------ BMC1 Options
% 2.16/2.47
% 2.16/2.47 % --bmc1_incremental false
% 2.16/2.47 % --bmc1_axioms reachable_all
% 2.16/2.47 % --bmc1_min_bound 0
% 2.16/2.47 % --bmc1_max_bound -1
% 2.16/2.47 % --bmc1_max_bound_default -1
% 2.16/2.47 % --bmc1_symbol_reachability true
% 2.16/2.47 % --bmc1_property_lemmas false
% 2.16/2.47 % --bmc1_k_induction false
% 2.16/2.47 % --bmc1_non_equiv_states false
% 2.16/2.47 % --bmc1_deadlock false
% 2.16/2.47 % --bmc1_ucm false
% 2.16/2.47 % --bmc1_add_unsat_core none
% 2.16/2.47 % --bmc1_unsat_core_children false
% 2.16/2.47 % --bmc1_unsat_core_extrapolate_axioms false
% 2.16/2.47 % --bmc1_out_stat full
% 2.16/2.47 % --bmc1_ground_init false
% 2.16/2.47 % --bmc1_pre_inst_next_state false
% 2.16/2.47 % --bmc1_pre_inst_state false
% 2.16/2.47 % --bmc1_pre_inst_reach_state false
% 2.16/2.47 % --bmc1_out_unsat_core false
% 2.16/2.47 % --bmc1_aig_witness_out false
% 2.16/2.47 % --bmc1_verbose false
% 2.16/2.47 % --bmc1_dump_clauses_tptp false
% 2.16/2.47 % --bmc1_dump_unsat_core_tptp false
% 2.16/2.47 % --bmc1_dump_file -
% 2.16/2.47 % --bmc1_ucm_expand_uc_limit 128
% 2.16/2.47 % --bmc1_ucm_n_expand_iterations 6
% 2.16/2.47 % --bmc1_ucm_extend_mode 1
% 2.16/2.47 % --bmc1_ucm_init_mode 2
% 2.16/2.47 % --bmc1_ucm_cone_mode none
% 2.16/2.47 % --bmc1_ucm_reduced_relation_type 0
% 2.16/2.47 % --bmc1_ucm_relax_model 4
% 2.16/2.47 % --bmc1_ucm_full_tr_after_sat true
% 2.16/2.47 % --bmc1_ucm_expand_neg_assumptions false
% 2.16/2.47 % --bmc1_ucm_layered_model none
% 2.16/2.47 % --bmc1_ucm_max_lemma_size 10
% 2.16/2.47
% 2.16/2.47 % ------ AIG Options
% 2.16/2.47
% 2.16/2.47 % --aig_mode false
% 2.16/2.47
% 2.16/2.47 % ------ Instantiation Options
% 2.16/2.47
% 2.16/2.47 % --instantiation_flag true
% 2.16/2.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.16/2.47 % --inst_solver_per_active 750
% 2.16/2.47 % --inst_solver_calls_frac 0.5
% 2.16/2.47 % --inst_passive_queue_type priority_queues
% 2.16/2.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.16/2.47 % --inst_passive_queues_freq [25;2]
% 2.16/2.47 % --inst_dismatching true
% 2.16/2.47 % --inst_eager_unprocessed_to_passive true
% 2.16/2.47 % --inst_prop_sim_given true
% 2.16/2.47 % --inst_prop_sim_new false
% 2.16/2.47 % --inst_orphan_elimination true
% 2.16/2.47 % --inst_learning_loop_flag true
% 2.16/2.47 % --inst_learning_start 3000
% 2.16/2.47 % --inst_learning_factor 2
% 2.16/2.47 % --inst_start_prop_sim_after_learn 3
% 2.16/2.47 % --inst_sel_renew solver
% 2.16/2.47 % --inst_lit_activity_flag true
% 2.16/2.47 % --inst_out_proof true
% 2.16/2.47
% 2.16/2.47 % ------ Resolution Options
% 2.16/2.47
% 2.16/2.47 % --resolution_flag true
% 2.16/2.47 % --res_lit_sel kbo_max
% 2.16/2.47 % --res_to_prop_solver none
% 2.16/2.47 % --res_prop_simpl_new false
% 2.16/2.47 % --res_prop_simpl_given false
% 2.16/2.47 % --res_passive_queue_type priority_queues
% 2.16/2.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.16/2.47 % --res_passive_queues_freq [15;5]
% 2.16/2.47 % --res_forward_subs full
% 2.16/2.47 % --res_backward_subs full
% 2.16/2.47 % --res_forward_subs_resolution true
% 2.16/2.47 % --res_backward_subs_resolution true
% 2.16/2.47 % --res_orphan_elimination false
% 2.16/2.47 % --res_time_limit 1000.
% 2.16/2.47 % --res_out_proof true
% 2.16/2.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8cdbf5.s
% 2.16/2.47 % --modulo true
% 2.16/2.47
% 2.16/2.47 % ------ Combination Options
% 2.16/2.47
% 2.16/2.47 % --comb_res_mult 1000
% 2.16/2.47 % --comb_inst_mult 300
% 2.16/2.47 % ------
% 2.16/2.47
% 2.16/2.47
% 2.16/2.47
% 2.16/2.47 % ------ Proving...
% 2.16/2.47 % warning: shown sat in sat incomplete mode
% 2.16/2.47 %
% 2.16/2.47
% 2.16/2.47
% 2.16/2.47
% 2.16/2.47
% 2.16/2.47 cnf(c_622,plain,
% 2.16/2.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.47 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1293_0) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_3065,plain,
% 2.16/2.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.47 inference(copy,[status(esa)],[c_622]) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_3066,plain,
% 2.16/2.47 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.47 inference(rewriting,[status(thm)],[c_3065]) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_617,plain,
% 2.16/2.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.47 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1291_0) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_3055,plain,
% 2.16/2.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.47 inference(copy,[status(esa)],[c_617]) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_3056,plain,
% 2.16/2.47 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.47 inference(rewriting,[status(thm)],[c_3055]) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_562,plain,
% 2.16/2.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.16/2.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.47 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1269_0) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_2945,plain,
% 2.16/2.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.16/2.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.47 inference(copy,[status(esa)],[c_562]) ).
% 2.16/2.47
% 2.16/2.47 cnf(c_2946,plain,
% 2.16/2.47 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.47 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.47 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.16/2.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.47 inference(rewriting,[status(thm)],[c_2945]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_556,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.48 | X1 = X2 ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1267_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2933,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.48 | X1 = X2 ),
% 2.16/2.48 inference(copy,[status(esa)],[c_556]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2934,plain,
% 2.16/2.48 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.48 | X1 = X2 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2933]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_552,plain,
% 2.16/2.48 ( X0 = X1
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1265_2) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2925,plain,
% 2.16/2.48 ( X0 = X1
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_552]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2926,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 2.16/2.48 | X0 = X1 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2925]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_497,plain,
% 2.16/2.48 ( ~ class_Orderings_Olinorder(X0)
% 2.16/2.48 | X1 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1246_1) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2815,plain,
% 2.16/2.48 ( ~ class_Orderings_Olinorder(X0)
% 2.16/2.48 | X1 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_497]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2816,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.16/2.48 | ~ class_Orderings_Olinorder(X2)
% 2.16/2.48 | X0 = X1 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2815]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_496,plain,
% 2.16/2.48 ( ~ class_Orderings_Olinorder(X0)
% 2.16/2.48 | X1 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1246_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2813,plain,
% 2.16/2.48 ( ~ class_Orderings_Olinorder(X0)
% 2.16/2.48 | X1 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_496]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2814,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.16/2.48 | ~ class_Orderings_Olinorder(X2)
% 2.16/2.48 | X1 = X0 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2813]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_494,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.48 | X1 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1245_2) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2809,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.48 | X1 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_494]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2810,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.16/2.48 | X0 = X1 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2809]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_492,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.16/2.48 | X2 = X1 ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1245_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2805,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.16/2.48 | X2 = X1 ),
% 2.16/2.48 inference(copy,[status(esa)],[c_492]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2806,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.16/2.48 | X1 = X0 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2805]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_489,plain,
% 2.16/2.48 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.16/2.48 | X0 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1244_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2799,plain,
% 2.16/2.48 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.16/2.48 | X0 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_489]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2800,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 2.16/2.48 | X1 = X0 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2799]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_486,plain,
% 2.16/2.48 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.16/2.48 | X0 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1243_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2793,plain,
% 2.16/2.48 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.16/2.48 | X0 = X2
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_486]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2794,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 2.16/2.48 | X1 = X0 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2793]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_473,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.48 | c_Suc(X0) = X1 ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1237_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2767,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.48 | c_Suc(X0) = X1 ),
% 2.16/2.48 inference(copy,[status(esa)],[c_473]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2768,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_Suc(X0) = X1 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2767]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_445,plain,
% 2.16/2.48 ( X0 = X1
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1224_2) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2711,plain,
% 2.16/2.48 ( X0 = X1
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_445]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2712,plain,
% 2.16/2.48 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.48 | X0 = X1 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2711]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_409,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1212_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2639,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_409]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2640,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2639]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_403,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.16/2.48 | X2 = X3 ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1210_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2627,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.16/2.48 | X2 = X3 ),
% 2.16/2.48 inference(copy,[status(esa)],[c_403]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2628,plain,
% 2.16/2.48 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.16/2.48 | X2 = X3 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2627]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_380,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1200_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2581,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_380]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2582,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2581]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_377,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1199_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2575,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_377]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2576,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2575]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_372,plain,
% 2.16/2.48 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1197_1) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2565,plain,
% 2.16/2.48 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_372]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2566,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | ~ class_Orderings_Oorder(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2565]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_371,plain,
% 2.16/2.48 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1197_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2563,plain,
% 2.16/2.48 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_371]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2564,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | ~ class_Orderings_Oorder(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2563]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_368,plain,
% 2.16/2.48 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1196_1) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2557,plain,
% 2.16/2.48 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_368]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2558,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.16/2.48 | ~ class_Orderings_Opreorder(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2557]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_367,plain,
% 2.16/2.48 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1196_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2555,plain,
% 2.16/2.48 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_367]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2556,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.48 | ~ class_Orderings_Opreorder(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2555]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_320,plain,
% 2.16/2.48 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1175_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2461,plain,
% 2.16/2.48 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_320]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2462,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.16/2.48 | c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2461]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_315,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1173_1) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2451,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_315]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2452,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2451]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_314,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1173_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2449,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_314]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2450,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2449]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_311,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1172_1) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2443,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_311]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2444,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2443]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_310,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1172_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2441,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_310]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2442,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.16/2.48 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2441]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_307,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1171_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2435,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_307]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2436,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2435]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_272,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1154_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2365,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_272]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2366,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2365]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_269,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1153_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2359,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_269]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2360,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2359]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_266,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1152_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2353,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_266]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2354,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2353]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_263,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1151_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2347,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_263]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2348,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2347]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_249,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1145_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2319,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_249]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2320,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2319]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_230,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1139_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2281,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_230]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2282,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2281]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_226,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1138_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2273,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_226]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2274,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2273]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_210,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1134_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2241,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_210]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2242,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2241]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_206,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1133_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2233,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_206]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2234,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2233]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_202,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1132_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2225,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_202]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2226,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2225]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_191,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1127_2) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2203,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_191]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2204,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2203]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_189,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1127_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2199,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_189]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2200,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2199]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_187,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1126_2) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2195,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_187]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2196,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2195]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_185,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1126_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2191,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_185]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2192,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2191]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_182,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.16/2.48 | 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) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1125_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2185,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.16/2.48 | 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) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_182]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2186,plain,
% 2.16/2.48 ( 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)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2185]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_179,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.48 | 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) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1124_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2179,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.48 | 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) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_179]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2180,plain,
% 2.16/2.48 ( 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)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2179]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_161,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1117_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2143,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_161]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2144,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2143]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_157,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1116_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2135,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_157]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2136,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2135]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_145,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1113_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2111,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_145]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2112,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2111]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_129,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1109_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2079,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_129]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2080,plain,
% 2.16/2.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2079]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_112,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1104_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2045,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_112]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2046,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2045]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_109,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1103_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2039,plain,
% 2.16/2.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_109]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2040,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2039]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_104,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | 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)
% 2.16/2.48 | X3 = X4
% 2.16/2.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1102_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2029,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | 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)
% 2.16/2.48 | X3 = X4
% 2.16/2.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_104]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2030,plain,
% 2.16/2.48 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | 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)
% 2.16/2.48 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.48 | X3 = X4 ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2029]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_101,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1101_1) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2023,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_101]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2024,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2023]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_100,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1101_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2021,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_100]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2022,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2021]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_97,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1100_1) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2015,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_97]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2016,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2015]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_96,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1100_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2013,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_96]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_2014,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_2013]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_88,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1097_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1997,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_88]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1998,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1997]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_84,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1096_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1989,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_84]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1990,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1989]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_80,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1095_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1981,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_80]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1982,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1981]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_76,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1094_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1973,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_76]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1974,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1973]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_70,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | 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) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1092_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1961,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | 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) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_70]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1962,plain,
% 2.16/2.48 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.48 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.48 | 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) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1961]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_66,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1091_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1953,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_66]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1954,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1953]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_62,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1090_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1945,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_62]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1946,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1945]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_58,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1089_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1937,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_58]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1938,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1937]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_54,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1088_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1929,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_54]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1930,plain,
% 2.16/2.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.48 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.48 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1929]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_49,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | 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)
% 2.16/2.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1086_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1919,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | 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)
% 2.16/2.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_49]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1920,plain,
% 2.16/2.48 ( 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)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1919]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_46,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | 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)
% 2.16/2.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1085_0) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1913,plain,
% 2.16/2.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | 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)
% 2.16/2.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 inference(copy,[status(esa)],[c_46]) ).
% 2.16/2.48
% 2.16/2.48 cnf(c_1914,plain,
% 2.16/2.48 ( 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)
% 2.16/2.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.48 inference(rewriting,[status(thm)],[c_1913]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_29,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.49 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.49 | 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)
% 2.16/2.49 | X1 = X3
% 2.16/2.49 | X2 = X4 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1079_1) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1879,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.49 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.49 | 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)
% 2.16/2.49 | X1 = X3
% 2.16/2.49 | X2 = X4 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_29]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1880,plain,
% 2.16/2.49 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.49 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.49 | 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)
% 2.16/2.49 | X1 = X3
% 2.16/2.49 | X2 = X4 ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_1879]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_28,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.49 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.49 | 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)
% 2.16/2.49 | X2 = X4
% 2.16/2.49 | X1 = X3 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1079_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1877,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.49 | ~ class_Int_Onumber__ring(X0)
% 2.16/2.49 | 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)
% 2.16/2.49 | X2 = X4
% 2.16/2.49 | X1 = X3 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_28]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1878,plain,
% 2.16/2.49 ( ~ class_Int_Onumber__ring(X0)
% 2.16/2.49 | ~ class_Ring__and__Field_Oidom(X0)
% 2.16/2.49 | 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)
% 2.16/2.49 | X2 = X4
% 2.16/2.49 | X1 = X3 ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_1877]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_9,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.16/2.49 | ~ 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)
% 2.16/2.49 | 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) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1071_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1839,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.16/2.49 | ~ 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)
% 2.16/2.49 | 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) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_9]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1840,plain,
% 2.16/2.49 ( ~ 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)
% 2.16/2.49 | 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)
% 2.16/2.49 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_1839]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_0,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.16/2.49 | ~ 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)
% 2.16/2.49 | 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) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1068_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1821,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.16/2.49 | ~ 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)
% 2.16/2.49 | 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) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_0]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1822,plain,
% 2.16/2.49 ( ~ 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)
% 2.16/2.49 | 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)
% 2.16/2.49 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_1821]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_810,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(v_r) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_14) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_993,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(v_r) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_810]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1003,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(v_r) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_993]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1004,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(v_r) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1003]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1009,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(v_r) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1004]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3399,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(v_r) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1009]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_809,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_13) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_991,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_809]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1002,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_991]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1005,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1002]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1008,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1005]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3397,negated_conjecture,
% 2.16/2.49 ( c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1008]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_808,negated_conjecture,
% 2.16/2.49 ( ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_12) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_989,negated_conjecture,
% 2.16/2.49 ( ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_808]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1001,negated_conjecture,
% 2.16/2.49 ( ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_989]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1006,negated_conjecture,
% 2.16/2.49 ( ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1001]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_1007,negated_conjecture,
% 2.16/2.49 ( ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1006]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3395,negated_conjecture,
% 2.16/2.49 ( ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_1007]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_802,plain,
% 2.16/2.49 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_405_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3388,plain,
% 2.16/2.49 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_802]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_801,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_406_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3386,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_801]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_799,plain,
% 2.16/2.49 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_408_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3383,plain,
% 2.16/2.49 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_799]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_797,plain,
% 2.16/2.49 ( 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) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_410_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3380,plain,
% 2.16/2.49 ( 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) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_797]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_794,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_413_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3376,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_794]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_792,plain,
% 2.16/2.49 ( 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) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_415_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3373,plain,
% 2.16/2.49 ( 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) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_792]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_786,plain,
% 2.16/2.49 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_421_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3366,plain,
% 2.16/2.49 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_786]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_785,plain,
% 2.16/2.49 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_422_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3364,plain,
% 2.16/2.49 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_785]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_782,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_425_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3360,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_782]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_781,plain,
% 2.16/2.49 ( 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))) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_426_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3358,plain,
% 2.16/2.49 ( 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))) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_781]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_780,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_427_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3356,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_780]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_774,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_433_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3349,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_774]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_773,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_434_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3347,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_773]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_772,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_435_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3345,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_772]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_766,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_441_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3337,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_766]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_765,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_442_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3335,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_765]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_757,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_450_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3325,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_757]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_754,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_453_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3320,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_754]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_753,plain,
% 2.16/2.49 ( X0 != c_Suc(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_454_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3318,plain,( X0 != c_Suc(X0) ),inference(copy,[status(esa)],[c_753]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_752,plain,
% 2.16/2.49 ( c_Suc(X0) != X0 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_455_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3316,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_752]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_750,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_457_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3312,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_750]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_748,plain,
% 2.16/2.49 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_459_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3308,plain,
% 2.16/2.49 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_748]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_746,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_461_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3304,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_746]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_744,plain,
% 2.16/2.49 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_463_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3300,plain,
% 2.16/2.49 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_744]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_740,plain,
% 2.16/2.49 ( class_Orderings_Oorder(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_467_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3295,plain,
% 2.16/2.49 ( class_Orderings_Oorder(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_740]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_739,plain,
% 2.16/2.49 ( class_Orderings_Olinorder(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_468_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3293,plain,
% 2.16/2.49 ( class_Orderings_Olinorder(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_739]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_738,plain,
% 2.16/2.49 ( class_Orderings_Opreorder(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_469_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3291,plain,
% 2.16/2.49 ( class_Orderings_Opreorder(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_738]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_737,plain,
% 2.16/2.49 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_470_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3289,plain,
% 2.16/2.49 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_737]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_736,plain,
% 2.16/2.49 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_471_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3287,plain,
% 2.16/2.49 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_736]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_735,plain,
% 2.16/2.49 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_472_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3285,plain,
% 2.16/2.49 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_735]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_734,plain,
% 2.16/2.49 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_473_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3283,plain,
% 2.16/2.49 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_734]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_733,plain,
% 2.16/2.49 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_474_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3281,plain,
% 2.16/2.49 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_733]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_732,plain,
% 2.16/2.49 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_475_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3279,plain,
% 2.16/2.49 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_732]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_731,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_476_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3277,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_731]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_730,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_477_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3275,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_730]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_729,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_478_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3273,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_729]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_728,plain,
% 2.16/2.49 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_479_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3271,plain,
% 2.16/2.49 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_728]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_727,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_480_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3269,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_727]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_726,plain,
% 2.16/2.49 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_481_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3267,plain,
% 2.16/2.49 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_726]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_725,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_482_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3265,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_725]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_724,plain,
% 2.16/2.49 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_483_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3263,plain,
% 2.16/2.49 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_724]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_723,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_484_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3261,plain,
% 2.16/2.49 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_723]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_722,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_485_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3259,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_722]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_721,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_486_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3257,plain,
% 2.16/2.49 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_721]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_720,plain,
% 2.16/2.49 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_487_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3255,plain,
% 2.16/2.49 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_720]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_719,plain,
% 2.16/2.49 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_488_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3253,plain,
% 2.16/2.49 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_719]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_718,plain,
% 2.16/2.49 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_489_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3251,plain,
% 2.16/2.49 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_718]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_717,plain,
% 2.16/2.49 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_490_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3249,plain,
% 2.16/2.49 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_717]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_716,plain,
% 2.16/2.49 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_491_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3247,plain,
% 2.16/2.49 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_716]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_711,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_496_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3241,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_711]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_708,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_499_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3237,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_708]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_706,plain,
% 2.16/2.49 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1334_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3233,plain,
% 2.16/2.49 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_706]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_704,plain,
% 2.16/2.49 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1333_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3229,plain,
% 2.16/2.49 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_704]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_700,plain,
% 2.16/2.49 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1331_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3221,plain,
% 2.16/2.49 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_700]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_698,plain,
% 2.16/2.49 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1330_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3217,plain,
% 2.16/2.49 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_698]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3218,plain,
% 2.16/2.49 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3217]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_694,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.16/2.49 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1328_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3209,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.16/2.49 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_694]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_692,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.49 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1327_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3205,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.49 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_692]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_690,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.49 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1326_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3201,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.49 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_690]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_688,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1325_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3197,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_688]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_686,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1324_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3193,plain,
% 2.16/2.49 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_686]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_684,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1323_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3189,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_684]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3190,plain,
% 2.16/2.49 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 2.16/2.49 | ~ c_Lambda_Obeta(X0,X1) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3189]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_681,plain,
% 2.16/2.49 ( ~ class_Nat_Osemiring__char__0(X0)
% 2.16/2.49 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 2.16/2.49 | X1 = X2 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1322_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3183,plain,
% 2.16/2.49 ( ~ class_Nat_Osemiring__char__0(X0)
% 2.16/2.49 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 2.16/2.49 | X1 = X2 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_681]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_679,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1321_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3179,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_679]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_677,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1320_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3175,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_677]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_675,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.16/2.49 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1319_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3171,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.16/2.49 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_675]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_673,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1318_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3167,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_673]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_669,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1316_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3159,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_669]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_665,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1314_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3151,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_665]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_663,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1313_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3147,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_663]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_661,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1312_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3143,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_661]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_659,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1311_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3139,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_659]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_657,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1310_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3135,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_657]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_655,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1309_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3131,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_655]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_651,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1307_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3123,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_651]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_649,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1306_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3119,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_649]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_647,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1305_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3115,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_647]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_645,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1304_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3111,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_645]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_643,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1303_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3107,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_643]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_641,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1302_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3103,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_641]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_637,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1300_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3095,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_637]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_635,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1299_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3091,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_635]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_633,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1298_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3087,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_633]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_631,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1297_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3083,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_631]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_629,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1296_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3079,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_629]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_627,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1295_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3075,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_627]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_625,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.16/2.49 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1294_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3071,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.16/2.49 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_625]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_620,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1292_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3061,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_620]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3062,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.16/2.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3061]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_615,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1290_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3051,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_615]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_611,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1288_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3043,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_611]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_609,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1287_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3039,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_609]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3040,plain,
% 2.16/2.49 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 2.16/2.49 | ~ c_Lambda_Obeta(X0,X2) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3039]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_607,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X2,X0),c_Lambda_OdB_OApp(X2,X1)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1286_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3035,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X2,X0),c_Lambda_OdB_OApp(X2,X1)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_607]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3036,plain,
% 2.16/2.49 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 2.16/2.49 | ~ c_Lambda_Obeta(X1,X2) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3035]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_605,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X2),c_Lambda_OdB_OApp(X1,X2)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1285_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3031,plain,
% 2.16/2.49 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.49 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X2),c_Lambda_OdB_OApp(X1,X2)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_605]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3032,plain,
% 2.16/2.49 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 2.16/2.49 | ~ c_Lambda_Obeta(X0,X2) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3031]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_603,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1284_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3027,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_603]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_601,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1283_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3023,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_601]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_599,plain,
% 2.16/2.49 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1282_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3019,plain,
% 2.16/2.49 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_599]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3020,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3019]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_597,plain,
% 2.16/2.49 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1281_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3015,plain,
% 2.16/2.49 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_597]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3016,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3015]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_595,plain,
% 2.16/2.49 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1280_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3011,plain,
% 2.16/2.49 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_595]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3012,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_3011]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_592,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = X2 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1279_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_3005,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = X2 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_592]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_589,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = X2 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1278_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2999,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = X2 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_589]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_584,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1276_1) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2989,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_584]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_583,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1276_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2987,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_583]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_580,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1275_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2981,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_580]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_571,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1272_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2963,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_571]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_568,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1271_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2957,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_568]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2958,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_2957]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_566,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1270_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2953,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 2.16/2.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_566]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_560,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.49 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1268_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2941,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.49 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_560]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_550,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 2.16/2.49 | X1 = X0 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1265_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2921,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 2.16/2.49 | X1 = X0 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_550]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_547,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1264_1) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2915,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_547]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_546,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1264_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2913,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_546]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_539,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1262_1) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2899,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_539]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_538,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1262_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2897,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.16/2.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.16/2.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_538]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_533,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1260_1) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2887,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_533]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_532,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1260_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2885,plain,
% 2.16/2.49 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.16/2.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_532]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_530,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1259_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2881,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_530]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2882,plain,
% 2.16/2.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.16/2.49 inference(rewriting,[status(thm)],[c_2881]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_528,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1258_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2877,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_528]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_524,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.49 | 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) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1256_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2869,plain,
% 2.16/2.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.49 | 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) ),
% 2.16/2.49 inference(copy,[status(esa)],[c_524]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_522,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.16/2.49 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1255_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2865,plain,
% 2.16/2.49 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.16/2.49 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 2.16/2.49 inference(copy,[status(esa)],[c_522]) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_518,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.16/2.49 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1253_0) ).
% 2.16/2.49
% 2.16/2.49 cnf(c_2857,plain,
% 2.16/2.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.49 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_518]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_516,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1252_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2853,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_516]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_512,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1250_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2845,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_512]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_484,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1242_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2789,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_484]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2790,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2789]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_482,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1241_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2785,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_482]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2786,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2785]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_480,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1240_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2781,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_480]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_478,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1239_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2777,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_478]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_476,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1238_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2773,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_476]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_467,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | X1 = X0
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1235_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2755,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | X1 = X0
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_467]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2756,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | X1 = X0 ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2755]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_464,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | X0 = X1
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1234_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2749,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | X0 = X1
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_464]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2750,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | X0 = X1 ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2749]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_460,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1232_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2741,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_460]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2742,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2741]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_458,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1231_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2737,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_458]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_454,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 2.16/2.50 | X0 = X2 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1229_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2729,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 2.16/2.50 | X0 = X2 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_454]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_452,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 2.16/2.50 | X1 = X2 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1228_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2725,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 2.16/2.50 | X1 = X2 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_452]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_450,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1227_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2721,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_450]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_448,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1226_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2717,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_448]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_446,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.16/2.50 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1225_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2713,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.16/2.50 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_446]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_443,plain,
% 2.16/2.50 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.50 | X1 = X0 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1224_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2707,plain,
% 2.16/2.50 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.16/2.50 | X1 = X0 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_443]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_441,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1223_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2703,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_441]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2704,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2703]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_435,plain,
% 2.16/2.50 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1221_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2691,plain,
% 2.16/2.50 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_435]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2692,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.16/2.50 | ~ class_Orderings_Opreorder(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2691]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_432,plain,
% 2.16/2.50 ( ~ class_Orderings_Olinorder(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1220_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2685,plain,
% 2.16/2.50 ( ~ class_Orderings_Olinorder(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_432]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2686,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.16/2.50 | ~ class_Orderings_Olinorder(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2685]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_429,plain,
% 2.16/2.50 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1219_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2679,plain,
% 2.16/2.50 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_429]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2680,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.16/2.50 | ~ class_Orderings_Oorder(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2679]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_426,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.16/2.50 | X2 = X3 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1218_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2673,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.16/2.50 | X2 = X3 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_426]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_423,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.16/2.50 | X2 = X3 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1217_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2667,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.16/2.50 | X2 = X3 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_423]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_420,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 2.16/2.50 | X1 = X3 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1216_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2661,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 2.16/2.50 | X1 = X3 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_420]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_417,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 2.16/2.50 | X2 = X3 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1215_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2655,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 2.16/2.50 | X2 = X3 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_417]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_414,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 2.16/2.50 | X1 = X2 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1214_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2649,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.50 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 2.16/2.50 | X1 = X2 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_414]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_412,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1213_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2645,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_412]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2646,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2645]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_407,plain,
% 2.16/2.50 ( 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))
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1211_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2635,plain,
% 2.16/2.50 ( 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))
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_407]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2636,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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)) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2635]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_400,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1209_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2621,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_400]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2622,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2621]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_398,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1208_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2617,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_398]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2618,plain,
% 2.16/2.50 ( 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)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2617]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_395,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1207_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2611,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_395]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2612,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2611]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_391,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1205_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2603,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_391]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_389,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1204_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2599,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_389]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2600,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2599]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_387,plain,
% 2.16/2.50 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1203_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2595,plain,
% 2.16/2.50 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_387]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2596,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2595]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_385,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1202_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2591,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 2.16/2.50 inference(copy,[status(esa)],[c_385]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_383,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.16/2.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1201_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2587,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.16/2.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_383]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_382,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1200_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2585,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_382]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_375,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1198_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2571,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_375]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_373,plain,
% 2.16/2.50 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1197_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2567,plain,
% 2.16/2.50 ( ~ class_Orderings_Oorder(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_373]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2568,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.50 | ~ class_Orderings_Oorder(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2567]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_369,plain,
% 2.16/2.50 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1196_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2559,plain,
% 2.16/2.50 ( ~ class_Orderings_Opreorder(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_369]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2560,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.50 | ~ class_Orderings_Opreorder(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2559]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_365,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1195_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2551,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_365]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2552,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2551]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_359,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1192_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2539,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_359]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2540,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2539]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_357,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1191_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2535,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_357]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2536,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2535]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_355,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1190_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2531,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_355]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2532,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2531]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_353,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1189_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2527,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_353]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_351,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1188_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2523,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_351]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2524,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2523]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_349,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1187_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2519,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_349]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2520,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2519]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_347,plain,
% 2.16/2.50 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.50 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1186_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2515,plain,
% 2.16/2.50 ( ~ c_Lambda_Obeta(X0,X1)
% 2.16/2.50 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_347]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2516,plain,
% 2.16/2.50 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 2.16/2.50 | ~ c_Lambda_Obeta(X0,X3) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2515]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_345,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1185_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2511,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_345]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2512,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2511]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_341,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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)) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1183_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2503,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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)) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_341]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_339,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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)) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1182_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2499,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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)) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_339]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_336,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1181_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2493,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_336]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2494,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.16/2.50 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2493]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_333,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1180_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2487,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_333]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2488,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2487]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_331,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1179_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2483,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_331]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2484,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2483]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_328,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1178_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2477,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_328]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2478,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2477]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_325,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1177_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2471,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_325]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2472,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2471]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_323,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1176_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2467,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_323]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_321,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1175_1) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2463,plain,
% 2.16/2.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_321]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2464,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.16/2.50 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2463]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_318,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1174_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2457,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_318]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_305,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1170_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2431,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_305]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_301,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1168_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2423,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_301]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_299,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1167_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2419,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_299]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_297,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1166_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2415,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_297]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_295,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1165_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2411,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_295]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_291,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1163_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2403,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_291]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_289,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1162_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2399,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_289]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_287,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1161_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2395,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_287]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_283,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1159_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2387,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_283]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_279,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1157_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2379,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_279]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_277,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1156_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2375,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_277]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_275,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1155_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2371,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_275]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_265,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1151_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2351,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_265]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_261,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1150_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2343,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_261]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_259,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1149_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2339,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_259]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_257,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.16/2.50 | c_Lambda_Olift(c_Lambda_Olift(X2,X0),c_Suc(X1)) = c_Lambda_Olift(c_Lambda_Olift(X2,X1),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1148_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2335,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.16/2.50 | c_Lambda_Olift(c_Lambda_Olift(X2,X0),c_Suc(X1)) = c_Lambda_Olift(c_Lambda_Olift(X2,X1),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_257]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_255,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1147_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2331,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_255]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2332,plain,
% 2.16/2.50 ( 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)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2331]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_253,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1146_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2327,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.16/2.50 | 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) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_253]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2328,plain,
% 2.16/2.50 ( 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)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2327]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_246,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1144_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2313,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_246]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2314,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2313]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_243,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1143_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2307,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_243]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2308,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.50 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2307]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_240,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1142_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2301,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_240]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2302,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2301]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_237,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1141_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2295,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_237]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2296,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.50 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2295]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_235,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1140_1) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2291,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_235]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_234,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1140_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2289,plain,
% 2.16/2.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_234]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_232,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1139_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2285,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_232]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2286,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2285]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_228,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1138_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2277,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_228]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2278,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2277]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_218,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1136_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2257,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_218]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2258,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2257]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_214,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1135_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2249,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_214]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2250,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2249]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_212,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1134_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2245,plain,
% 2.16/2.50 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_212]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2246,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.50 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2245]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_208,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1133_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2237,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_208]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2238,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2237]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_204,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1132_2) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2229,plain,
% 2.16/2.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.16/2.50 inference(copy,[status(esa)],[c_204]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2230,plain,
% 2.16/2.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.16/2.50 inference(rewriting,[status(thm)],[c_2229]) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_200,plain,
% 2.16/2.50 ( 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)
% 2.16/2.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.50 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1131_0) ).
% 2.16/2.50
% 2.16/2.50 cnf(c_2221,plain,
% 2.16/2.50 ( 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)
% 2.16/2.51 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_200]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_197,plain,
% 2.16/2.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.51 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 2.16/2.51 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1130_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2215,plain,
% 2.16/2.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.16/2.51 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 2.16/2.51 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 2.16/2.51 inference(copy,[status(esa)],[c_197]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_195,plain,
% 2.16/2.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.16/2.51 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1129_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2211,plain,
% 2.16/2.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.16/2.51 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_195]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_193,plain,
% 2.16/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1128_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2207,plain,
% 2.16/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_193]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2208,plain,
% 2.16/2.51 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.16/2.51 inference(rewriting,[status(thm)],[c_2207]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_184,plain,
% 2.16/2.51 ( 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)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1125_2) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2189,plain,
% 2.16/2.51 ( 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)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_184]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_181,plain,
% 2.16/2.51 ( 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)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1124_2) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2183,plain,
% 2.16/2.51 ( 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)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_181]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_175,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1122_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2171,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_175]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_173,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1121_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2167,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_173]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_171,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1120_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2163,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_171]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_168,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | 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)
% 2.16/2.51 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1119_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2157,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | 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)
% 2.16/2.51 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_168]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_165,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | 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)
% 2.16/2.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1118_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2151,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | 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)
% 2.16/2.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_165]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_163,plain,
% 2.16/2.51 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1117_2) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2147,plain,
% 2.16/2.51 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_163]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2148,plain,
% 2.16/2.51 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.16/2.51 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.16/2.51 inference(rewriting,[status(thm)],[c_2147]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_141,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1112_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2103,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_141]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2104,plain,
% 2.16/2.51 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.16/2.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.51 inference(rewriting,[status(thm)],[c_2103]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_149,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1114_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2119,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_149]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2120,plain,
% 2.16/2.51 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.16/2.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.51 inference(rewriting,[status(thm)],[c_2119]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_121,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1107_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2063,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_121]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2064,plain,
% 2.16/2.51 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.16/2.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.51 inference(rewriting,[status(thm)],[c_2063]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_117,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1106_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2055,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.16/2.51 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_117]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2056,plain,
% 2.16/2.51 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.16/2.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.16/2.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.16/2.51 inference(rewriting,[status(thm)],[c_2055]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_115,plain,
% 2.16/2.51 ( ~ 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)
% 2.16/2.51 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1105_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2051,plain,
% 2.16/2.51 ( ~ 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)
% 2.16/2.51 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_115]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_94,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1099_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2009,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_94]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_92,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1098_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_2005,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_92]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_52,plain,
% 2.16/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.16/2.51 | 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) ),
% 2.16/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1087_0) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_1925,plain,
% 2.16/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.16/2.51 | 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) ),
% 2.16/2.51 inference(copy,[status(esa)],[c_52]) ).
% 2.16/2.51
% 2.16/2.51 cnf(c_44,plain,
% 2.16/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.16/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1084_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1909,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_44]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_42,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.28/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1083_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1905,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_42]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_40,plain,
% 2.28/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.28/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1082_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1901,plain,
% 2.28/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_40]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_38,plain,
% 2.28/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.28/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1081_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1897,plain,
% 2.28/2.51 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_38]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_26,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Osemiring(X0)
% 2.28/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1078_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1873,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Osemiring(X0)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_26]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_23,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oring(X0)
% 2.28/2.51 | 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)
% 2.28/2.51 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1077_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1867,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oring(X0)
% 2.28/2.51 | 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)
% 2.28/2.51 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_23]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_20,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oring(X0)
% 2.28/2.51 | 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)
% 2.28/2.51 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1076_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1861,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oring(X0)
% 2.28/2.51 | 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)
% 2.28/2.51 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 2.28/2.51 inference(copy,[status(esa)],[c_20]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1862,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oring(X0)
% 2.28/2.51 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(rewriting,[status(thm)],[c_1861]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_18,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.28/2.51 | ~ 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1075_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1857,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.28/2.51 | ~ 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_18]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1858,plain,
% 2.28/2.51 ( ~ 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)
% 2.28/2.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.28/2.51 inference(rewriting,[status(thm)],[c_1857]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_14,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oring(X0)
% 2.28/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1073_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1849,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oring(X0)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_14]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_12,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.28/2.51 | ~ 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1072_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1845,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.28/2.51 | ~ 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_12]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1846,plain,
% 2.28/2.51 ( ~ 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)
% 2.28/2.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.28/2.51 inference(rewriting,[status(thm)],[c_1845]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_6,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.28/2.51 | ~ 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)
% 2.28/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1070_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1833,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.28/2.51 | ~ 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)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_6]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1834,plain,
% 2.28/2.51 ( 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)
% 2.28/2.51 | ~ 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)
% 2.28/2.51 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.28/2.51 inference(rewriting,[status(thm)],[c_1833]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_3,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.28/2.51 | ~ 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)
% 2.28/2.51 | 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) ),
% 2.28/2.51 file('/export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p', c_0_1069_0) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1827,plain,
% 2.28/2.51 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.28/2.51 | ~ 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)
% 2.28/2.51 | 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) ),
% 2.28/2.51 inference(copy,[status(esa)],[c_3]) ).
% 2.28/2.51
% 2.28/2.51 cnf(c_1828,plain,
% 2.28/2.51 ( 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)
% 2.28/2.51 | ~ 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)
% 2.28/2.51 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.28/2.51 inference(rewriting,[status(thm)],[c_1827]) ).
% 2.28/2.51
% 2.28/2.51
% 2.28/2.51
% 2.28/2.51 % ------ Statistics
% 2.28/2.51
% 2.28/2.51 % ------ General
% 2.28/2.51
% 2.28/2.51 % num_of_input_clauses: 811
% 2.28/2.51 % num_of_input_neg_conjectures: 3
% 2.28/2.51 % num_of_splits: 0
% 2.28/2.51 % num_of_split_atoms: 0
% 2.28/2.51 % num_of_sem_filtered_clauses: 0
% 2.28/2.51 % num_of_subtypes: 0
% 2.28/2.51 % monotx_restored_types: 0
% 2.28/2.51 % sat_num_of_epr_types: 0
% 2.28/2.51 % sat_num_of_non_cyclic_types: 0
% 2.28/2.51 % sat_guarded_non_collapsed_types: 0
% 2.28/2.51 % is_epr: 0
% 2.28/2.51 % is_horn: 0
% 2.28/2.51 % has_eq: 1
% 2.28/2.51 % num_pure_diseq_elim: 0
% 2.28/2.51 % simp_replaced_by: 0
% 2.28/2.51 % res_preprocessed: 6
% 2.28/2.51 % prep_upred: 0
% 2.28/2.51 % prep_unflattend: 0
% 2.28/2.51 % pred_elim_cands: 0
% 2.28/2.51 % pred_elim: 0
% 2.28/2.51 % pred_elim_cl: 0
% 2.28/2.51 % pred_elim_cycles: 0
% 2.28/2.51 % forced_gc_time: 0
% 2.28/2.51 % gc_basic_clause_elim: 0
% 2.28/2.51 % parsing_time: 0.043
% 2.28/2.51 % sem_filter_time: 0.
% 2.28/2.51 % pred_elim_time: 0.
% 2.28/2.51 % out_proof_time: 0.
% 2.28/2.51 % monotx_time: 0.
% 2.28/2.51 % subtype_inf_time: 0.
% 2.28/2.51 % unif_index_cands_time: 0.
% 2.28/2.51 % unif_index_add_time: 0.
% 2.28/2.51 % total_time: 2.041
% 2.28/2.51 % num_of_symbols: 83
% 2.28/2.51 % num_of_terms: 2218
% 2.28/2.51
% 2.28/2.51 % ------ Propositional Solver
% 2.28/2.51
% 2.28/2.51 % prop_solver_calls: 1
% 2.28/2.51 % prop_fast_solver_calls: 9
% 2.28/2.51 % prop_num_of_clauses: 723
% 2.28/2.51 % prop_preprocess_simplified: 2483
% 2.28/2.51 % prop_fo_subsumed: 0
% 2.28/2.51 % prop_solver_time: 0.
% 2.28/2.51 % prop_fast_solver_time: 0.
% 2.28/2.51 % prop_unsat_core_time: 0.
% 2.28/2.51
% 2.28/2.51 % ------ QBF
% 2.28/2.51
% 2.28/2.51 % qbf_q_res: 0
% 2.28/2.51 % qbf_num_tautologies: 0
% 2.28/2.51 % qbf_prep_cycles: 0
% 2.28/2.51
% 2.28/2.51 % ------ BMC1
% 2.28/2.51
% 2.28/2.51 % bmc1_current_bound: -1
% 2.28/2.51 % bmc1_last_solved_bound: -1
% 2.28/2.51 % bmc1_unsat_core_size: -1
% 2.28/2.51 % bmc1_unsat_core_parents_size: -1
% 2.28/2.51 % bmc1_merge_next_fun: 0
% 2.28/2.51 % bmc1_unsat_core_clauses_time: 0.
% 2.28/2.51
% 2.28/2.51 % ------ Instantiation
% 2.28/2.51
% 2.28/2.51 % inst_num_of_clauses: 714
% 2.28/2.51 % inst_num_in_passive: 0
% 2.28/2.51 % inst_num_in_active: 0
% 2.28/2.51 % inst_num_in_unprocessed: 811
% 2.28/2.51 % inst_num_of_loops: 0
% 2.28/2.51 % inst_num_of_learning_restarts: 0
% 2.28/2.51 % inst_num_moves_active_passive: 0
% 2.28/2.51 % inst_lit_activity: 0
% 2.28/2.51 % inst_lit_activity_moves: 0
% 2.28/2.51 % inst_num_tautologies: 0
% 2.28/2.51 % inst_num_prop_implied: 0
% 2.28/2.51 % inst_num_existing_simplified: 0
% 2.28/2.51 % inst_num_eq_res_simplified: 0
% 2.28/2.51 % inst_num_child_elim: 0
% 2.28/2.51 % inst_num_of_dismatching_blockings: 0
% 2.28/2.51 % inst_num_of_non_proper_insts: 0
% 2.28/2.51 % inst_num_of_duplicates: 0
% 2.28/2.51 % inst_inst_num_from_inst_to_res: 0
% 2.28/2.51 % inst_dismatching_checking_time: 0.
% 2.28/2.51
% 2.28/2.51 % ------ Resolution
% 2.28/2.51
% 2.28/2.51 % res_num_of_clauses: 782
% 2.28/2.51 % res_num_in_passive: 0
% 2.28/2.51 % res_num_in_active: 312
% 2.28/2.51 % res_num_of_loops: 4
% 2.28/2.51 % res_forward_subset_subsumed: 456
% 2.28/2.51 % res_backward_subset_subsumed: 1
% 2.28/2.51 % res_forward_subsumed: 0
% 2.28/2.51 % res_backward_subsumed: 0
% 2.28/2.51 % res_forward_subsumption_resolution: 0
% 2.28/2.51 % res_backward_subsumption_resolution: 0
% 2.28/2.51 % res_clause_to_clause_subsumption: 0
% 2.28/2.51 % res_orphan_elimination: 0
% 2.28/2.51 % res_tautology_del: 0
% 2.28/2.51 % res_num_eq_res_simplified: 0
% 2.28/2.51 % res_num_sel_changes: 0
% 2.28/2.51 % res_moves_from_active_to_pass: 0
% 2.28/2.51
% 2.28/2.51 % Status Unknown
% 2.31/2.61 % Orienting using strategy ClausalAll
% 2.31/2.61 % Orientation found
% 2.31/2.61 % 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_8cdbf5.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_3bd1ea.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f1ec64 | grep -v "SZS"
% 2.31/2.63
% 2.31/2.63 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 2.31/2.63
% 2.31/2.63 %
% 2.31/2.63 % ------ iProver source info
% 2.31/2.63
% 2.31/2.63 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 2.31/2.63 % git: non_committed_changes: true
% 2.31/2.63 % git: last_make_outside_of_git: true
% 2.31/2.63
% 2.31/2.63 %
% 2.31/2.63 % ------ Input Options
% 2.31/2.63
% 2.31/2.63 % --out_options all
% 2.31/2.63 % --tptp_safe_out true
% 2.31/2.63 % --problem_path ""
% 2.31/2.63 % --include_path ""
% 2.31/2.63 % --clausifier .//eprover
% 2.31/2.63 % --clausifier_options --tstp-format
% 2.31/2.63 % --stdin false
% 2.31/2.63 % --dbg_backtrace false
% 2.31/2.63 % --dbg_dump_prop_clauses false
% 2.31/2.63 % --dbg_dump_prop_clauses_file -
% 2.31/2.63 % --dbg_out_stat false
% 2.31/2.63
% 2.31/2.63 % ------ General Options
% 2.31/2.63
% 2.31/2.63 % --fof false
% 2.31/2.63 % --time_out_real 150.
% 2.31/2.63 % --time_out_prep_mult 0.2
% 2.31/2.63 % --time_out_virtual -1.
% 2.31/2.63 % --schedule none
% 2.31/2.63 % --ground_splitting input
% 2.31/2.63 % --splitting_nvd 16
% 2.31/2.63 % --non_eq_to_eq false
% 2.31/2.63 % --prep_gs_sim true
% 2.31/2.63 % --prep_unflatten false
% 2.31/2.63 % --prep_res_sim true
% 2.31/2.63 % --prep_upred true
% 2.31/2.63 % --res_sim_input true
% 2.31/2.63 % --clause_weak_htbl true
% 2.31/2.63 % --gc_record_bc_elim false
% 2.31/2.63 % --symbol_type_check false
% 2.31/2.63 % --clausify_out false
% 2.31/2.63 % --large_theory_mode false
% 2.31/2.63 % --prep_sem_filter none
% 2.31/2.63 % --prep_sem_filter_out false
% 2.31/2.63 % --preprocessed_out false
% 2.31/2.63 % --sub_typing false
% 2.31/2.63 % --brand_transform false
% 2.31/2.63 % --pure_diseq_elim true
% 2.31/2.63 % --min_unsat_core false
% 2.31/2.63 % --pred_elim true
% 2.31/2.63 % --add_important_lit false
% 2.31/2.63 % --soft_assumptions false
% 2.31/2.63 % --reset_solvers false
% 2.31/2.63 % --bc_imp_inh []
% 2.31/2.63 % --conj_cone_tolerance 1.5
% 2.31/2.63 % --prolific_symb_bound 500
% 2.31/2.63 % --lt_threshold 2000
% 2.31/2.63
% 2.31/2.63 % ------ SAT Options
% 2.31/2.63
% 2.31/2.63 % --sat_mode false
% 2.31/2.63 % --sat_fm_restart_options ""
% 2.31/2.63 % --sat_gr_def false
% 2.31/2.63 % --sat_epr_types true
% 2.31/2.63 % --sat_non_cyclic_types false
% 2.31/2.63 % --sat_finite_models false
% 2.31/2.63 % --sat_fm_lemmas false
% 2.31/2.63 % --sat_fm_prep false
% 2.31/2.63 % --sat_fm_uc_incr true
% 2.31/2.63 % --sat_out_model small
% 2.31/2.63 % --sat_out_clauses false
% 2.31/2.63
% 2.31/2.63 % ------ QBF Options
% 2.31/2.63
% 2.31/2.63 % --qbf_mode false
% 2.31/2.63 % --qbf_elim_univ true
% 2.31/2.63 % --qbf_sk_in true
% 2.31/2.63 % --qbf_pred_elim true
% 2.31/2.63 % --qbf_split 32
% 2.31/2.63
% 2.31/2.63 % ------ BMC1 Options
% 2.31/2.63
% 2.31/2.63 % --bmc1_incremental false
% 2.31/2.63 % --bmc1_axioms reachable_all
% 2.31/2.63 % --bmc1_min_bound 0
% 2.31/2.63 % --bmc1_max_bound -1
% 2.31/2.63 % --bmc1_max_bound_default -1
% 2.31/2.63 % --bmc1_symbol_reachability true
% 2.31/2.63 % --bmc1_property_lemmas false
% 2.31/2.63 % --bmc1_k_induction false
% 2.31/2.63 % --bmc1_non_equiv_states false
% 2.31/2.63 % --bmc1_deadlock false
% 2.31/2.63 % --bmc1_ucm false
% 2.31/2.63 % --bmc1_add_unsat_core none
% 2.31/2.63 % --bmc1_unsat_core_children false
% 2.31/2.63 % --bmc1_unsat_core_extrapolate_axioms false
% 2.31/2.63 % --bmc1_out_stat full
% 2.31/2.63 % --bmc1_ground_init false
% 2.31/2.63 % --bmc1_pre_inst_next_state false
% 2.31/2.63 % --bmc1_pre_inst_state false
% 2.31/2.63 % --bmc1_pre_inst_reach_state false
% 2.31/2.63 % --bmc1_out_unsat_core false
% 2.31/2.63 % --bmc1_aig_witness_out false
% 2.31/2.63 % --bmc1_verbose false
% 2.31/2.63 % --bmc1_dump_clauses_tptp false
% 3.71/3.98 % --bmc1_dump_unsat_core_tptp false
% 3.71/3.98 % --bmc1_dump_file -
% 3.71/3.98 % --bmc1_ucm_expand_uc_limit 128
% 3.71/3.98 % --bmc1_ucm_n_expand_iterations 6
% 3.71/3.98 % --bmc1_ucm_extend_mode 1
% 3.71/3.98 % --bmc1_ucm_init_mode 2
% 3.71/3.98 % --bmc1_ucm_cone_mode none
% 3.71/3.98 % --bmc1_ucm_reduced_relation_type 0
% 3.71/3.98 % --bmc1_ucm_relax_model 4
% 3.71/3.98 % --bmc1_ucm_full_tr_after_sat true
% 3.71/3.98 % --bmc1_ucm_expand_neg_assumptions false
% 3.71/3.98 % --bmc1_ucm_layered_model none
% 3.71/3.98 % --bmc1_ucm_max_lemma_size 10
% 3.71/3.98
% 3.71/3.98 % ------ AIG Options
% 3.71/3.98
% 3.71/3.98 % --aig_mode false
% 3.71/3.98
% 3.71/3.98 % ------ Instantiation Options
% 3.71/3.98
% 3.71/3.98 % --instantiation_flag true
% 3.71/3.98 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.71/3.98 % --inst_solver_per_active 750
% 3.71/3.98 % --inst_solver_calls_frac 0.5
% 3.71/3.98 % --inst_passive_queue_type priority_queues
% 3.71/3.98 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.71/3.98 % --inst_passive_queues_freq [25;2]
% 3.71/3.98 % --inst_dismatching true
% 3.71/3.98 % --inst_eager_unprocessed_to_passive true
% 3.71/3.98 % --inst_prop_sim_given true
% 3.71/3.98 % --inst_prop_sim_new false
% 3.71/3.98 % --inst_orphan_elimination true
% 3.71/3.98 % --inst_learning_loop_flag true
% 3.71/3.98 % --inst_learning_start 3000
% 3.71/3.98 % --inst_learning_factor 2
% 3.71/3.98 % --inst_start_prop_sim_after_learn 3
% 3.71/3.98 % --inst_sel_renew solver
% 3.71/3.98 % --inst_lit_activity_flag true
% 3.71/3.98 % --inst_out_proof true
% 3.71/3.98
% 3.71/3.98 % ------ Resolution Options
% 3.71/3.98
% 3.71/3.98 % --resolution_flag true
% 3.71/3.98 % --res_lit_sel kbo_max
% 3.71/3.98 % --res_to_prop_solver none
% 3.71/3.98 % --res_prop_simpl_new false
% 3.71/3.98 % --res_prop_simpl_given false
% 3.71/3.98 % --res_passive_queue_type priority_queues
% 3.71/3.98 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.71/3.98 % --res_passive_queues_freq [15;5]
% 3.71/3.98 % --res_forward_subs full
% 3.71/3.98 % --res_backward_subs full
% 3.71/3.98 % --res_forward_subs_resolution true
% 3.71/3.98 % --res_backward_subs_resolution true
% 3.71/3.98 % --res_orphan_elimination false
% 3.71/3.98 % --res_time_limit 1000.
% 3.71/3.98 % --res_out_proof true
% 3.71/3.98 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8cdbf5.s
% 3.71/3.98 % --modulo true
% 3.71/3.98
% 3.71/3.98 % ------ Combination Options
% 3.71/3.98
% 3.71/3.98 % --comb_res_mult 1000
% 3.71/3.98 % --comb_inst_mult 300
% 3.71/3.98 % ------
% 3.71/3.98
% 3.71/3.98 % ------ Parsing...% successful
% 3.71/3.98
% 3.71/3.98 % ------ 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 %
% 3.71/3.98
% 3.71/3.98 % ------ Proving...
% 3.71/3.98 % ------ Problem Properties
% 3.71/3.98
% 3.71/3.98 %
% 3.71/3.98 % EPR false
% 3.71/3.98 % Horn false
% 3.71/3.98 % Has equality true
% 3.71/3.98
% 3.71/3.98 % % ------ Input Options Time Limit: Unbounded
% 3.71/3.98
% 3.71/3.98
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 Compiling...
% 3.71/3.98 Loading plugin: done.
% 3.71/3.98 % % ------ Current options:
% 3.71/3.98
% 3.71/3.98 % ------ Input Options
% 3.71/3.98
% 3.71/3.98 % --out_options all
% 3.71/3.98 % --tptp_safe_out true
% 3.71/3.98 % --problem_path ""
% 3.71/3.98 % --include_path ""
% 3.71/3.98 % --clausifier .//eprover
% 3.71/3.98 % --clausifier_options --tstp-format
% 3.71/3.98 % --stdin false
% 3.71/3.98 % --dbg_backtrace false
% 3.71/3.98 % --dbg_dump_prop_clauses false
% 3.71/3.98 % --dbg_dump_prop_clauses_file -
% 3.71/3.98 % --dbg_out_stat false
% 3.71/3.98
% 3.71/3.98 % ------ General Options
% 3.71/3.98
% 3.71/3.98 % --fof false
% 3.71/3.98 % --time_out_real 150.
% 3.71/3.98 % --time_out_prep_mult 0.2
% 3.71/3.98 % --time_out_virtual -1.
% 3.71/3.98 % --schedule none
% 3.71/3.98 % --ground_splitting input
% 3.71/3.98 % --splitting_nvd 16
% 3.71/3.98 % --non_eq_to_eq false
% 3.71/3.98 % --prep_gs_sim true
% 3.71/3.98 % --prep_unflatten false
% 3.71/3.98 % --prep_res_sim true
% 3.71/3.98 % --prep_upred true
% 3.71/3.98 % --res_sim_input true
% 3.71/3.98 % --clause_weak_htbl true
% 3.71/3.98 % --gc_record_bc_elim false
% 3.71/3.98 % --symbol_type_check false
% 3.71/3.98 % --clausify_out false
% 3.71/3.98 % --large_theory_mode false
% 3.71/3.98 % --prep_sem_filter none
% 3.71/3.98 % --prep_sem_filter_out false
% 3.71/3.98 % --preprocessed_out false
% 3.71/3.98 % --sub_typing false
% 3.71/3.98 % --brand_transform false
% 3.71/3.98 % --pure_diseq_elim true
% 3.71/3.98 % --min_unsat_core false
% 3.71/3.98 % --pred_elim true
% 3.71/3.98 % --add_important_lit false
% 3.71/3.98 % --soft_assumptions false
% 3.71/3.98 % --reset_solvers false
% 3.71/3.98 % --bc_imp_inh []
% 3.71/3.98 % --conj_cone_tolerance 1.5
% 3.71/3.98 % --prolific_symb_bound 500
% 3.71/3.98 % --lt_threshold 2000
% 3.71/3.98
% 3.71/3.98 % ------ SAT Options
% 3.71/3.98
% 3.71/3.98 % --sat_mode false
% 3.71/3.98 % --sat_fm_restart_options ""
% 3.71/3.98 % --sat_gr_def false
% 3.71/3.98 % --sat_epr_types true
% 3.71/3.98 % --sat_non_cyclic_types false
% 3.71/3.98 % --sat_finite_models false
% 3.71/3.98 % --sat_fm_lemmas false
% 3.71/3.98 % --sat_fm_prep false
% 3.71/3.98 % --sat_fm_uc_incr true
% 3.71/3.98 % --sat_out_model small
% 3.71/3.98 % --sat_out_clauses false
% 3.71/3.98
% 3.71/3.98 % ------ QBF Options
% 3.71/3.98
% 3.71/3.98 % --qbf_mode false
% 3.71/3.98 % --qbf_elim_univ true
% 3.71/3.98 % --qbf_sk_in true
% 3.71/3.98 % --qbf_pred_elim true
% 3.71/3.98 % --qbf_split 32
% 3.71/3.98
% 3.71/3.98 % ------ BMC1 Options
% 3.71/3.98
% 3.71/3.98 % --bmc1_incremental false
% 3.71/3.98 % --bmc1_axioms reachable_all
% 3.71/3.98 % --bmc1_min_bound 0
% 3.71/3.98 % --bmc1_max_bound -1
% 3.71/3.98 % --bmc1_max_bound_default -1
% 3.71/3.98 % --bmc1_symbol_reachability true
% 3.71/3.98 % --bmc1_property_lemmas false
% 3.71/3.98 % --bmc1_k_induction false
% 3.71/3.98 % --bmc1_non_equiv_states false
% 3.71/3.98 % --bmc1_deadlock false
% 3.71/3.98 % --bmc1_ucm false
% 3.71/3.98 % --bmc1_add_unsat_core none
% 3.71/3.98 % --bmc1_unsat_core_children false
% 3.71/3.98 % --bmc1_unsat_core_extrapolate_axioms false
% 3.71/3.98 % --bmc1_out_stat full
% 3.71/3.98 % --bmc1_ground_init false
% 3.71/3.98 % --bmc1_pre_inst_next_state false
% 3.71/3.98 % --bmc1_pre_inst_state false
% 3.71/3.98 % --bmc1_pre_inst_reach_state false
% 3.71/3.98 % --bmc1_out_unsat_core false
% 3.71/3.98 % --bmc1_aig_witness_out false
% 3.71/3.98 % --bmc1_verbose false
% 3.71/3.98 % --bmc1_dump_clauses_tptp false
% 3.71/3.98 % --bmc1_dump_unsat_core_tptp false
% 3.71/3.98 % --bmc1_dump_file -
% 3.71/3.98 % --bmc1_ucm_expand_uc_limit 128
% 3.71/3.98 % --bmc1_ucm_n_expand_iterations 6
% 3.71/3.98 % --bmc1_ucm_extend_mode 1
% 3.71/3.98 % --bmc1_ucm_init_mode 2
% 3.71/3.98 % --bmc1_ucm_cone_mode none
% 3.71/3.98 % --bmc1_ucm_reduced_relation_type 0
% 3.71/3.98 % --bmc1_ucm_relax_model 4
% 3.71/3.98 % --bmc1_ucm_full_tr_after_sat true
% 3.71/3.98 % --bmc1_ucm_expand_neg_assumptions false
% 3.71/3.98 % --bmc1_ucm_layered_model none
% 3.71/3.98 % --bmc1_ucm_max_lemma_size 10
% 3.71/3.98
% 3.71/3.98 % ------ AIG Options
% 3.71/3.98
% 3.71/3.98 % --aig_mode false
% 3.71/3.98
% 3.71/3.98 % ------ Instantiation Options
% 3.71/3.98
% 3.71/3.98 % --instantiation_flag true
% 3.71/3.98 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.71/3.98 % --inst_solver_per_active 750
% 3.71/3.98 % --inst_solver_calls_frac 0.5
% 151.82/152.63 % --inst_passive_queue_type priority_queues
% 151.82/152.63 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 151.82/152.63 % --inst_passive_queues_freq [25;2]
% 151.82/152.63 % --inst_dismatching true
% 151.82/152.63 % --inst_eager_unprocessed_to_passive true
% 151.82/152.63 % --inst_prop_sim_given true
% 151.82/152.63 % --inst_prop_sim_new false
% 151.82/152.63 % --inst_orphan_elimination true
% 151.82/152.63 % --inst_learning_loop_flag true
% 151.82/152.63 % --inst_learning_start 3000
% 151.82/152.63 % --inst_learning_factor 2
% 151.82/152.63 % --inst_start_prop_sim_after_learn 3
% 151.82/152.63 % --inst_sel_renew solver
% 151.82/152.63 % --inst_lit_activity_flag true
% 151.82/152.63 % --inst_out_proof true
% 151.82/152.63
% 151.82/152.63 % ------ Resolution Options
% 151.82/152.63
% 151.82/152.63 % --resolution_flag true
% 151.82/152.63 % --res_lit_sel kbo_max
% 151.82/152.63 % --res_to_prop_solver none
% 151.82/152.63 % --res_prop_simpl_new false
% 151.82/152.63 % --res_prop_simpl_given false
% 151.82/152.63 % --res_passive_queue_type priority_queues
% 151.82/152.63 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 151.82/152.63 % --res_passive_queues_freq [15;5]
% 151.82/152.63 % --res_forward_subs full
% 151.82/152.63 % --res_backward_subs full
% 151.82/152.63 % --res_forward_subs_resolution true
% 151.82/152.63 % --res_backward_subs_resolution true
% 151.82/152.63 % --res_orphan_elimination false
% 151.82/152.63 % --res_time_limit 1000.
% 151.82/152.63 % --res_out_proof true
% 151.82/152.63 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8cdbf5.s
% 151.82/152.63 % --modulo true
% 151.82/152.63
% 151.82/152.63 % ------ Combination Options
% 151.82/152.63
% 151.82/152.63 % --comb_res_mult 1000
% 151.82/152.63 % --comb_inst_mult 300
% 151.82/152.63 % ------
% 151.82/152.63
% 151.82/152.63
% 151.82/152.63
% 151.82/152.63 % ------ Proving...
% 151.82/152.63 %
% 151.82/152.63
% 151.82/152.63
% 151.82/152.63 % Time Out Real
% 151.82/152.63
% 151.82/152.63 % ------ Statistics
% 151.82/152.63
% 151.82/152.63 % ------ General
% 151.82/152.63
% 151.82/152.63 % num_of_input_clauses: 811
% 151.82/152.63 % num_of_input_neg_conjectures: 3
% 151.82/152.63 % num_of_splits: 0
% 151.82/152.63 % num_of_split_atoms: 0
% 151.82/152.63 % num_of_sem_filtered_clauses: 0
% 151.82/152.63 % num_of_subtypes: 0
% 151.82/152.63 % monotx_restored_types: 0
% 151.82/152.63 % sat_num_of_epr_types: 0
% 151.82/152.63 % sat_num_of_non_cyclic_types: 0
% 151.82/152.63 % sat_guarded_non_collapsed_types: 0
% 151.82/152.63 % is_epr: 0
% 151.82/152.63 % is_horn: 0
% 151.82/152.63 % has_eq: 1
% 151.82/152.63 % num_pure_diseq_elim: 0
% 151.82/152.63 % simp_replaced_by: 0
% 151.82/152.63 % res_preprocessed: 6
% 151.82/152.63 % prep_upred: 0
% 151.82/152.63 % prep_unflattend: 0
% 151.82/152.63 % pred_elim_cands: 0
% 151.82/152.63 % pred_elim: 0
% 151.82/152.63 % pred_elim_cl: 0
% 151.82/152.63 % pred_elim_cycles: 0
% 151.82/152.63 % forced_gc_time: 0
% 151.82/152.63 % gc_basic_clause_elim: 0
% 151.82/152.63 % parsing_time: 0.043
% 151.82/152.63 % sem_filter_time: 0.
% 151.82/152.63 % pred_elim_time: 0.
% 151.82/152.63 % out_proof_time: 0.
% 151.82/152.63 % monotx_time: 0.
% 151.82/152.63 % subtype_inf_time: 0.
% 151.82/152.63 % unif_index_cands_time: 0.009
% 151.82/152.63 % unif_index_add_time: 0.302
% 151.82/152.63 % total_time: 150.017
% 151.82/152.63 % num_of_symbols: 83
% 151.82/152.63 % num_of_terms: 21440
% 151.82/152.63
% 151.82/152.63 % ------ Propositional Solver
% 151.82/152.63
% 151.82/152.63 % prop_solver_calls: 6
% 151.82/152.63 % prop_fast_solver_calls: 9
% 151.82/152.63 % prop_num_of_clauses: 4865
% 151.82/152.63 % prop_preprocess_simplified: 7637
% 151.82/152.63 % prop_fo_subsumed: 0
% 151.82/152.63 % prop_solver_time: 0.
% 151.82/152.63 % prop_fast_solver_time: 0.
% 151.82/152.63 % prop_unsat_core_time: 0.
% 151.82/152.63
% 151.82/152.63 % ------ QBF
% 151.82/152.63
% 151.82/152.63 % qbf_q_res: 0
% 151.82/152.63 % qbf_num_tautologies: 0
% 151.82/152.63 % qbf_prep_cycles: 0
% 151.82/152.63
% 151.82/152.63 % ------ BMC1
% 151.82/152.63
% 151.82/152.63 % bmc1_current_bound: -1
% 151.82/152.63 % bmc1_last_solved_bound: -1
% 151.82/152.63 % bmc1_unsat_core_size: -1
% 151.82/152.63 % bmc1_unsat_core_parents_size: -1
% 151.82/152.63 % bmc1_merge_next_fun: 0
% 151.82/152.63 % bmc1_unsat_core_clauses_time: 0.
% 151.82/152.63
% 151.82/152.63 % ------ Instantiation
% 151.82/152.63
% 151.82/152.63 % inst_num_of_clauses: 2916
% 151.82/152.63 % inst_num_in_passive: 1855
% 151.82/152.63 % inst_num_in_active: 579
% 151.82/152.63 % inst_num_in_unprocessed: 482
% 151.82/152.63 % inst_num_of_loops: 600
% 151.82/152.63 % inst_num_of_learning_restarts: 0
% 151.82/152.63 % inst_num_moves_active_passive: 20
% 151.82/152.63 % inst_lit_activity: 1317
% 151.82/152.63 % inst_lit_activity_moves: 0
% 151.82/152.63 % inst_num_tautologies: 0
% 151.82/152.63 % inst_num_prop_implied: 0
% 151.82/152.63 % inst_num_existing_simplified: 0
% 151.82/152.63 % inst_num_eq_res_simplified: 0
% 151.82/152.63 % inst_num_child_elim: 0
% 151.82/152.63 % inst_num_of_dismatching_blockings: 377
% 151.82/152.63 % inst_num_of_non_proper_insts: 1906
% 151.82/152.63 % inst_num_of_duplicates: 3175
% 151.82/152.63 % inst_inst_num_from_inst_to_res: 0
% 151.82/152.63 % inst_dismatching_checking_time: 0.01
% 151.82/152.63
% 151.82/152.63 % ------ Resolution
% 151.82/152.63
% 151.82/152.63 % res_num_of_clauses: 2977
% 151.82/152.63 % res_num_in_passive: 1
% 151.82/152.63 % res_num_in_active: 2517
% 151.82/152.63 % res_num_of_loops: 2211
% 151.82/152.63 % res_forward_subset_subsumed: 459
% 151.82/152.63 % res_backward_subset_subsumed: 0
% 151.82/152.63 % res_forward_subsumed: 0
% 151.82/152.63 % res_backward_subsumed: 0
% 151.82/152.63 % res_forward_subsumption_resolution: 0
% 151.82/152.63 % res_backward_subsumption_resolution: 0
% 151.82/152.63 % res_clause_to_clause_subsumption: 0
% 151.82/152.63 % res_orphan_elimination: 0
% 151.82/152.63 % res_tautology_del: 0
% 151.82/152.63 % res_num_eq_res_simplified: 0
% 151.82/152.63 % res_num_sel_changes: 0
% 151.82/152.63 % res_moves_from_active_to_pass: 0
% 151.82/152.63
% 151.82/152.63 % Status Unknown
% 151.82/152.63 % Last status :
% 151.82/152.63 % SZS status Unknown
%------------------------------------------------------------------------------