%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM923+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 11:03:10 EDT 2022
% Result : Unknown 30.55s 30.83s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM923+5 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 01:41:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.21/0.46 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.46 % FOF problem with conjecture
% 0.21/0.46 % 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_0cc9e8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_71cf60.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_799994 | grep -v "SZS"
% 0.21/0.48
% 0.21/0.48 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.48
% 0.21/0.48 %
% 0.21/0.48 % ------ iProver source info
% 0.21/0.48
% 0.21/0.48 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.48 % git: non_committed_changes: true
% 0.21/0.48 % git: last_make_outside_of_git: true
% 0.21/0.48
% 0.21/0.48 %
% 0.21/0.48 % ------ Input Options
% 0.21/0.48
% 0.21/0.48 % --out_options all
% 0.21/0.48 % --tptp_safe_out true
% 0.21/0.48 % --problem_path ""
% 0.21/0.48 % --include_path ""
% 0.21/0.48 % --clausifier .//eprover
% 0.21/0.48 % --clausifier_options --tstp-format
% 0.21/0.48 % --stdin false
% 0.21/0.48 % --dbg_backtrace false
% 0.21/0.48 % --dbg_dump_prop_clauses false
% 0.21/0.48 % --dbg_dump_prop_clauses_file -
% 0.21/0.48 % --dbg_out_stat false
% 0.21/0.48
% 0.21/0.48 % ------ General Options
% 0.21/0.48
% 0.21/0.48 % --fof false
% 0.21/0.48 % --time_out_real 150.
% 0.21/0.48 % --time_out_prep_mult 0.2
% 0.21/0.48 % --time_out_virtual -1.
% 0.21/0.48 % --schedule none
% 0.21/0.48 % --ground_splitting input
% 0.21/0.48 % --splitting_nvd 16
% 0.21/0.48 % --non_eq_to_eq false
% 0.21/0.48 % --prep_gs_sim true
% 0.21/0.48 % --prep_unflatten false
% 0.21/0.48 % --prep_res_sim true
% 0.21/0.48 % --prep_upred true
% 0.21/0.48 % --res_sim_input true
% 0.21/0.48 % --clause_weak_htbl true
% 0.21/0.48 % --gc_record_bc_elim false
% 0.21/0.48 % --symbol_type_check false
% 0.21/0.48 % --clausify_out false
% 0.21/0.48 % --large_theory_mode false
% 0.21/0.48 % --prep_sem_filter none
% 0.21/0.48 % --prep_sem_filter_out false
% 0.21/0.48 % --preprocessed_out false
% 0.21/0.48 % --sub_typing false
% 0.21/0.48 % --brand_transform false
% 0.21/0.48 % --pure_diseq_elim true
% 0.21/0.48 % --min_unsat_core false
% 0.21/0.48 % --pred_elim true
% 0.21/0.48 % --add_important_lit false
% 0.21/0.48 % --soft_assumptions false
% 0.21/0.48 % --reset_solvers false
% 0.21/0.48 % --bc_imp_inh []
% 0.21/0.48 % --conj_cone_tolerance 1.5
% 0.21/0.48 % --prolific_symb_bound 500
% 0.21/0.48 % --lt_threshold 2000
% 0.21/0.48
% 0.21/0.48 % ------ SAT Options
% 0.21/0.48
% 0.21/0.48 % --sat_mode false
% 0.21/0.48 % --sat_fm_restart_options ""
% 0.21/0.48 % --sat_gr_def false
% 0.21/0.48 % --sat_epr_types true
% 0.21/0.48 % --sat_non_cyclic_types false
% 0.21/0.48 % --sat_finite_models false
% 0.21/0.48 % --sat_fm_lemmas false
% 0.21/0.48 % --sat_fm_prep false
% 0.21/0.48 % --sat_fm_uc_incr true
% 0.21/0.48 % --sat_out_model small
% 0.21/0.48 % --sat_out_clauses false
% 0.21/0.48
% 0.21/0.48 % ------ QBF Options
% 0.21/0.48
% 0.21/0.48 % --qbf_mode false
% 0.21/0.48 % --qbf_elim_univ true
% 0.21/0.48 % --qbf_sk_in true
% 0.21/0.48 % --qbf_pred_elim true
% 0.21/0.48 % --qbf_split 32
% 0.21/0.48
% 0.21/0.48 % ------ BMC1 Options
% 0.21/0.48
% 0.21/0.48 % --bmc1_incremental false
% 0.21/0.48 % --bmc1_axioms reachable_all
% 0.21/0.48 % --bmc1_min_bound 0
% 0.21/0.48 % --bmc1_max_bound -1
% 0.21/0.48 % --bmc1_max_bound_default -1
% 0.21/0.48 % --bmc1_symbol_reachability true
% 0.21/0.48 % --bmc1_property_lemmas false
% 0.21/0.48 % --bmc1_k_induction false
% 0.21/0.48 % --bmc1_non_equiv_states false
% 0.21/0.48 % --bmc1_deadlock false
% 0.21/0.48 % --bmc1_ucm false
% 0.21/0.48 % --bmc1_add_unsat_core none
% 0.21/0.48 % --bmc1_unsat_core_children false
% 0.21/0.48 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.48 % --bmc1_out_stat full
% 0.21/0.48 % --bmc1_ground_init false
% 0.21/0.48 % --bmc1_pre_inst_next_state false
% 0.21/0.48 % --bmc1_pre_inst_state false
% 0.21/0.48 % --bmc1_pre_inst_reach_state false
% 0.21/0.48 % --bmc1_out_unsat_core false
% 0.21/0.48 % --bmc1_aig_witness_out false
% 0.21/0.48 % --bmc1_verbose false
% 0.21/0.48 % --bmc1_dump_clauses_tptp false
% 20.43/20.72 % --bmc1_dump_unsat_core_tptp false
% 20.43/20.72 % --bmc1_dump_file -
% 20.43/20.72 % --bmc1_ucm_expand_uc_limit 128
% 20.43/20.72 % --bmc1_ucm_n_expand_iterations 6
% 20.43/20.72 % --bmc1_ucm_extend_mode 1
% 20.43/20.72 % --bmc1_ucm_init_mode 2
% 20.43/20.72 % --bmc1_ucm_cone_mode none
% 20.43/20.72 % --bmc1_ucm_reduced_relation_type 0
% 20.43/20.72 % --bmc1_ucm_relax_model 4
% 20.43/20.72 % --bmc1_ucm_full_tr_after_sat true
% 20.43/20.72 % --bmc1_ucm_expand_neg_assumptions false
% 20.43/20.72 % --bmc1_ucm_layered_model none
% 20.43/20.72 % --bmc1_ucm_max_lemma_size 10
% 20.43/20.72
% 20.43/20.72 % ------ AIG Options
% 20.43/20.72
% 20.43/20.72 % --aig_mode false
% 20.43/20.72
% 20.43/20.72 % ------ Instantiation Options
% 20.43/20.72
% 20.43/20.72 % --instantiation_flag true
% 20.43/20.72 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 20.43/20.72 % --inst_solver_per_active 750
% 20.43/20.72 % --inst_solver_calls_frac 0.5
% 20.43/20.72 % --inst_passive_queue_type priority_queues
% 20.43/20.72 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 20.43/20.72 % --inst_passive_queues_freq [25;2]
% 20.43/20.72 % --inst_dismatching true
% 20.43/20.72 % --inst_eager_unprocessed_to_passive true
% 20.43/20.72 % --inst_prop_sim_given true
% 20.43/20.72 % --inst_prop_sim_new false
% 20.43/20.72 % --inst_orphan_elimination true
% 20.43/20.72 % --inst_learning_loop_flag true
% 20.43/20.72 % --inst_learning_start 3000
% 20.43/20.72 % --inst_learning_factor 2
% 20.43/20.72 % --inst_start_prop_sim_after_learn 3
% 20.43/20.72 % --inst_sel_renew solver
% 20.43/20.72 % --inst_lit_activity_flag true
% 20.43/20.72 % --inst_out_proof true
% 20.43/20.72
% 20.43/20.72 % ------ Resolution Options
% 20.43/20.72
% 20.43/20.72 % --resolution_flag true
% 20.43/20.72 % --res_lit_sel kbo_max
% 20.43/20.72 % --res_to_prop_solver none
% 20.43/20.72 % --res_prop_simpl_new false
% 20.43/20.72 % --res_prop_simpl_given false
% 20.43/20.72 % --res_passive_queue_type priority_queues
% 20.43/20.72 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 20.43/20.72 % --res_passive_queues_freq [15;5]
% 20.43/20.72 % --res_forward_subs full
% 20.43/20.72 % --res_backward_subs full
% 20.43/20.72 % --res_forward_subs_resolution true
% 20.43/20.72 % --res_backward_subs_resolution true
% 20.43/20.72 % --res_orphan_elimination false
% 20.43/20.72 % --res_time_limit 1000.
% 20.43/20.72 % --res_out_proof true
% 20.43/20.72 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_0cc9e8.s
% 20.43/20.72 % --modulo true
% 20.43/20.72
% 20.43/20.72 % ------ Combination Options
% 20.43/20.72
% 20.43/20.72 % --comb_res_mult 1000
% 20.43/20.72 % --comb_inst_mult 300
% 20.43/20.72 % ------
% 20.43/20.72
% 20.43/20.72 % ------ Parsing...% successful
% 20.43/20.72
% 20.43/20.72 % ------ 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 %
% 20.43/20.72
% 20.43/20.72 % ------ Proving...
% 20.43/20.72 % ------ Problem Properties
% 20.43/20.72
% 20.43/20.72 %
% 20.43/20.72 % EPR false
% 20.43/20.72 % Horn false
% 20.43/20.72 % Has equality true
% 20.43/20.72
% 20.43/20.72 % % ------ Input Options Time Limit: Unbounded
% 20.43/20.72
% 20.43/20.72
% 20.43/20.72 Compiling...
% 20.43/20.72 Loading plugin: done.
% 20.43/20.72 Compiling...
% 20.43/20.72 Loading plugin: done.
% 20.43/20.72 Compiling...
% 20.43/20.72 Loading plugin: done.
% 20.43/20.72 Compiling...
% 20.43/20.72 Loading plugin: done.
% 20.43/20.72 Compiling...
% 20.43/20.72 Loading plugin: done.
% 20.43/20.72 % % ------ Current options:
% 20.43/20.72
% 20.43/20.72 % ------ Input Options
% 20.43/20.72
% 20.43/20.72 % --out_options all
% 20.43/20.72 % --tptp_safe_out true
% 20.43/20.72 % --problem_path ""
% 20.43/20.72 % --include_path ""
% 20.43/20.72 % --clausifier .//eprover
% 20.43/20.72 % --clausifier_options --tstp-format
% 20.43/20.72 % --stdin false
% 20.43/20.72 % --dbg_backtrace false
% 20.43/20.72 % --dbg_dump_prop_clauses false
% 20.43/20.72 % --dbg_dump_prop_clauses_file -
% 20.43/20.72 % --dbg_out_stat false
% 20.43/20.72
% 20.43/20.72 % ------ General Options
% 20.43/20.72
% 20.43/20.72 % --fof false
% 20.43/20.72 % --time_out_real 150.
% 20.43/20.72 % --time_out_prep_mult 0.2
% 20.43/20.72 % --time_out_virtual -1.
% 20.43/20.72 % --schedule none
% 20.43/20.72 % --ground_splitting input
% 20.43/20.72 % --splitting_nvd 16
% 20.43/20.72 % --non_eq_to_eq false
% 20.43/20.72 % --prep_gs_sim true
% 20.43/20.72 % --prep_unflatten false
% 20.43/20.72 % --prep_res_sim true
% 20.43/20.72 % --prep_upred true
% 20.43/20.72 % --res_sim_input true
% 20.43/20.72 % --clause_weak_htbl true
% 20.43/20.72 % --gc_record_bc_elim false
% 20.43/20.72 % --symbol_type_check false
% 20.43/20.72 % --clausify_out false
% 20.43/20.72 % --large_theory_mode false
% 20.43/20.72 % --prep_sem_filter none
% 20.43/20.72 % --prep_sem_filter_out false
% 20.43/20.72 % --preprocessed_out false
% 20.43/20.72 % --sub_typing false
% 20.43/20.72 % --brand_transform false
% 20.43/20.72 % --pure_diseq_elim true
% 20.43/20.72 % --min_unsat_core false
% 20.43/20.72 % --pred_elim true
% 20.43/20.72 % --add_important_lit false
% 20.43/20.72 % --soft_assumptions false
% 20.43/20.72 % --reset_solvers false
% 20.43/20.72 % --bc_imp_inh []
% 20.43/20.72 % --conj_cone_tolerance 1.5
% 20.43/20.72 % --prolific_symb_bound 500
% 20.43/20.72 % --lt_threshold 2000
% 20.43/20.72
% 20.43/20.72 % ------ SAT Options
% 20.43/20.72
% 20.43/20.72 % --sat_mode false
% 20.43/20.72 % --sat_fm_restart_options ""
% 20.43/20.72 % --sat_gr_def false
% 20.43/20.72 % --sat_epr_types true
% 20.43/20.72 % --sat_non_cyclic_types false
% 20.43/20.72 % --sat_finite_models false
% 20.43/20.72 % --sat_fm_lemmas false
% 20.43/20.72 % --sat_fm_prep false
% 20.43/20.72 % --sat_fm_uc_incr true
% 20.43/20.72 % --sat_out_model small
% 20.43/20.72 % --sat_out_clauses false
% 20.43/20.72
% 20.43/20.72 % ------ QBF Options
% 20.43/20.72
% 20.43/20.72 % --qbf_mode false
% 20.43/20.72 % --qbf_elim_univ true
% 20.43/20.72 % --qbf_sk_in true
% 20.43/20.72 % --qbf_pred_elim true
% 20.43/20.72 % --qbf_split 32
% 20.43/20.72
% 20.43/20.72 % ------ BMC1 Options
% 20.43/20.72
% 20.43/20.72 % --bmc1_incremental false
% 20.43/20.72 % --bmc1_axioms reachable_all
% 20.43/20.72 % --bmc1_min_bound 0
% 20.43/20.72 % --bmc1_max_bound -1
% 20.43/20.72 % --bmc1_max_bound_default -1
% 20.43/20.72 % --bmc1_symbol_reachability true
% 20.43/20.72 % --bmc1_property_lemmas false
% 20.43/20.72 % --bmc1_k_induction false
% 20.43/20.72 % --bmc1_non_equiv_states false
% 20.43/20.72 % --bmc1_deadlock false
% 20.43/20.72 % --bmc1_ucm false
% 20.43/20.72 % --bmc1_add_unsat_core none
% 20.43/20.72 % --bmc1_unsat_core_children false
% 20.43/20.72 % --bmc1_unsat_core_extrapolate_axioms false
% 20.43/20.72 % --bmc1_out_stat full
% 20.43/20.72 % --bmc1_ground_init false
% 20.43/20.72 % --bmc1_pre_inst_next_state false
% 20.43/20.72 % --bmc1_pre_inst_state false
% 20.43/20.72 % --bmc1_pre_inst_reach_state false
% 20.43/20.72 % --bmc1_out_unsat_core false
% 20.43/20.72 % --bmc1_aig_witness_out false
% 20.43/20.72 % --bmc1_verbose false
% 20.43/20.72 % --bmc1_dump_clauses_tptp false
% 20.43/20.72 % --bmc1_dump_unsat_core_tptp false
% 20.43/20.72 % --bmc1_dump_file -
% 20.43/20.72 % --bmc1_ucm_expand_uc_limit 128
% 20.43/20.72 % --bmc1_ucm_n_expand_iterations 6
% 20.43/20.72 % --bmc1_ucm_extend_mode 1
% 20.43/20.72 % --bmc1_ucm_init_mode 2
% 20.43/20.72 % --bmc1_ucm_cone_mode none
% 20.43/20.72 % --bmc1_ucm_reduced_relation_type 0
% 20.43/20.72 % --bmc1_ucm_relax_model 4
% 20.43/20.72 % --bmc1_ucm_full_tr_after_sat true
% 20.43/20.72 % --bmc1_ucm_expand_neg_assumptions false
% 20.43/20.72 % --bmc1_ucm_layered_model none
% 20.43/20.72 % --bmc1_ucm_max_lemma_size 10
% 20.43/20.72
% 20.43/20.72 % ------ AIG Options
% 20.43/20.72
% 20.43/20.72 % --aig_mode false
% 20.43/20.72
% 20.43/20.72 % ------ Instantiation Options
% 20.43/20.72
% 20.43/20.72 % --instantiation_flag true
% 20.43/20.72 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 20.43/20.72 % --inst_solver_per_active 750
% 20.43/20.72 % --inst_solver_calls_frac 0.5
% 20.43/20.72 % --inst_passive_queue_type priority_queues
% 20.43/20.72 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 20.43/20.72 % --inst_passive_queues_freq [25;2]
% 20.43/20.72 % --inst_dismatching true
% 20.43/20.72 % --inst_eager_unprocessed_to_passive true
% 20.43/20.72 % --inst_prop_sim_given true
% 20.43/20.72 % --inst_prop_sim_new false
% 20.43/20.72 % --inst_orphan_elimination true
% 20.43/20.72 % --inst_learning_loop_flag true
% 20.43/20.72 % --inst_learning_start 3000
% 20.43/20.72 % --inst_learning_factor 2
% 20.43/20.72 % --inst_start_prop_sim_after_learn 3
% 20.43/20.72 % --inst_sel_renew solver
% 20.43/20.72 % --inst_lit_activity_flag true
% 20.43/20.72 % --inst_out_proof true
% 20.43/20.72
% 20.43/20.72 % ------ Resolution Options
% 20.43/20.72
% 20.43/20.72 % --resolution_flag true
% 20.43/20.72 % --res_lit_sel kbo_max
% 20.43/20.72 % --res_to_prop_solver none
% 20.43/20.72 % --res_prop_simpl_new false
% 20.43/20.72 % --res_prop_simpl_given false
% 20.43/20.72 % --res_passive_queue_type priority_queues
% 20.43/20.72 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 20.43/20.72 % --res_passive_queues_freq [15;5]
% 20.43/20.72 % --res_forward_subs full
% 20.43/20.72 % --res_backward_subs full
% 20.43/20.72 % --res_forward_subs_resolution true
% 20.43/20.72 % --res_backward_subs_resolution true
% 20.43/20.72 % --res_orphan_elimination false
% 20.43/20.72 % --res_time_limit 1000.
% 20.43/20.72 % --res_out_proof true
% 20.43/20.72 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_0cc9e8.s
% 20.43/20.72 % --modulo true
% 20.43/20.72
% 20.43/20.72 % ------ Combination Options
% 20.43/20.72
% 20.43/20.72 % --comb_res_mult 1000
% 20.43/20.72 % --comb_inst_mult 300
% 20.43/20.72 % ------
% 20.43/20.72
% 20.43/20.72
% 20.43/20.72
% 20.43/20.72 % ------ Proving...
% 20.43/20.72 % warning: shown sat in sat incomplete mode
% 20.43/20.72 %
% 20.43/20.72
% 20.43/20.72
% 20.43/20.72
% 20.43/20.72
% 20.43/20.72 cnf(c_164,plain,
% 20.43/20.72 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 20.43/20.72 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3)),X5))
% 20.43/20.72 | ~ ordered_ring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_565_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_792,plain,
% 20.43/20.72 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 20.43/20.72 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3)),X5))
% 20.43/20.72 | ~ ordered_ring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_164]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_793,plain,
% 20.43/20.72 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4)),X5))
% 20.43/20.72 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5)))
% 20.43/20.72 | ~ ordered_ring(X0) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_792]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_163,plain,
% 20.43/20.72 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)))
% 20.43/20.72 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5)))
% 20.43/20.72 | ~ ordered_ring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_566_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_790,plain,
% 20.43/20.72 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)))
% 20.43/20.72 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5)))
% 20.43/20.72 | ~ ordered_ring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_163]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_791,plain,
% 20.43/20.72 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 20.43/20.72 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5)))
% 20.43/20.72 | ~ ordered_ring(X0) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_790]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_160,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 20.43/20.72 | ~ real_normed_algebra(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_569_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_784,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 20.43/20.72 | ~ real_normed_algebra(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_160]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_785,plain,
% 20.43/20.72 ( ~ real_normed_algebra(X0)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_784]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_159,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) != ti(X0,X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_570_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_782,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) != ti(X0,X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_159]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_783,plain,
% 20.43/20.72 ( ~ ring(X0)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) != ti(X0,X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_782]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_158,plain,
% 20.43/20.72 ( ti(X0,X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_571_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_780,plain,
% 20.43/20.72 ( ti(X0,X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_158]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_781,plain,
% 20.43/20.72 ( ~ ring(X0)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 20.43/20.72 | ti(X0,X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_780]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_157,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3) = ti(X0,X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_573_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_778,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3) = ti(X0,X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_157]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_779,plain,
% 20.43/20.72 ( ~ ring(X0)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) = ti(X0,X5)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_778]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_156,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 20.43/20.72 | ti(X0,X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_574_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_776,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 20.43/20.72 | ti(X0,X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5)
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_156]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_777,plain,
% 20.43/20.72 ( ~ ring(X0)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 20.43/20.72 | ti(X0,X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_776]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_155,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)),X4)
% 20.43/20.72 | ~ semiring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_575_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_774,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)),X4)
% 20.43/20.72 | ~ semiring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_155]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_775,plain,
% 20.43/20.72 ( ~ semiring(X0)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)),X4) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_774]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_154,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X3))
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_576_0) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_772,plain,
% 20.43/20.72 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X3))
% 20.43/20.72 | ~ ring(X0) ),
% 20.43/20.72 inference(copy,[status(esa)],[c_154]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_773,plain,
% 20.43/20.72 ( ~ ring(X0)
% 20.43/20.72 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X3)) ),
% 20.43/20.72 inference(rewriting,[status(thm)],[c_772]) ).
% 20.43/20.72
% 20.43/20.72 cnf(c_149,plain,
% 20.43/20.72 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X1,X0,X2,sk1_esk22_4(X0,X1,X2,X3))),hAPP(X1,X0,X3,sk1_esk22_4(X0,X1,X2,X3))))
% 20.43/20.73 | hBOOL(hAPP(fun(X1,X0),bool,hAPP(fun(X1,X0),fun(fun(X1,X0),bool),ord_less_eq(fun(X1,X0)),X2),X3))
% 20.43/20.73 | ~ ord(X0) ),
% 20.43/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_581_0) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_762,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X1,X0,X2,sk1_esk22_4(X0,X1,X2,X3))),hAPP(X1,X0,X3,sk1_esk22_4(X0,X1,X2,X3))))
% 20.43/20.73 | hBOOL(hAPP(fun(X1,X0),bool,hAPP(fun(X1,X0),fun(fun(X1,X0),bool),ord_less_eq(fun(X1,X0)),X2),X3))
% 20.43/20.73 | ~ ord(X0) ),
% 20.43/20.73 inference(copy,[status(esa)],[c_149]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_763,plain,
% 20.43/20.73 ( hBOOL(hAPP(fun(X0,X1),bool,hAPP(fun(X0,X1),fun(fun(X0,X1),bool),ord_less_eq(fun(X0,X1)),X2),X3))
% 20.43/20.73 | ~ hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X0,X1,X2,sk1_esk22_4(X1,X0,X2,X3))),hAPP(X0,X1,X3,sk1_esk22_4(X1,X0,X2,X3))))
% 20.43/20.73 | ~ ord(X1) ),
% 20.43/20.73 inference(rewriting,[status(thm)],[c_762]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_147,plain,
% 20.43/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 20.43/20.73 | ti(X0,X1) = ti(X0,X3)
% 20.43/20.73 | ti(X0,X2) = ti(X0,X4)
% 20.43/20.73 | ~ semiri456707255roduct(X0) ),
% 20.43/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_583_0) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_758,plain,
% 20.43/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 20.43/20.73 | ti(X0,X1) = ti(X0,X3)
% 20.43/20.73 | ti(X0,X2) = ti(X0,X4)
% 20.43/20.73 | ~ semiri456707255roduct(X0) ),
% 20.43/20.73 inference(copy,[status(esa)],[c_147]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_759,plain,
% 20.43/20.73 ( ~ semiri456707255roduct(X0)
% 20.43/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 20.43/20.73 | ti(X0,X1) = ti(X0,X3)
% 20.43/20.73 | ti(X0,X2) = ti(X0,X4) ),
% 20.43/20.73 inference(rewriting,[status(thm)],[c_758]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_146,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.43/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.43/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4)))
% 20.43/20.73 | ~ ordere779506340up_add(X0) ),
% 20.43/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_584_0) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_756,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.43/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.43/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4)))
% 20.43/20.73 | ~ ordere779506340up_add(X0) ),
% 20.43/20.73 inference(copy,[status(esa)],[c_146]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_757,plain,
% 20.43/20.73 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)))
% 20.43/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 20.43/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))
% 20.43/20.73 | ~ ordere779506340up_add(X0) ),
% 20.43/20.73 inference(rewriting,[status(thm)],[c_756]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_145,plain,
% 20.43/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X4))
% 20.43/20.73 | ~ comm_semiring_1(X0) ),
% 20.43/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_585_0) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_754,plain,
% 20.43/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X4))
% 20.43/20.73 | ~ comm_semiring_1(X0) ),
% 20.43/20.73 inference(copy,[status(esa)],[c_145]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_755,plain,
% 20.43/20.73 ( ~ comm_semiring_1(X0)
% 20.43/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X4)) ),
% 20.43/20.73 inference(rewriting,[status(thm)],[c_754]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_144,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.43/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)))
% 20.43/20.73 | ~ ordere236663937imp_le(X0) ),
% 20.43/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_586_0) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_752,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.43/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)))
% 20.43/20.73 | ~ ordere236663937imp_le(X0) ),
% 20.43/20.73 inference(copy,[status(esa)],[c_144]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_753,plain,
% 20.43/20.73 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.43/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 20.43/20.73 | ~ ordere236663937imp_le(X0) ),
% 20.43/20.73 inference(rewriting,[status(thm)],[c_752]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_143,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.43/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.43/20.73 | ~ ordere236663937imp_le(X0) ),
% 20.43/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_587_0) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_750,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.43/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.43/20.73 | ~ ordere236663937imp_le(X0) ),
% 20.43/20.73 inference(copy,[status(esa)],[c_143]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_751,plain,
% 20.43/20.73 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 20.43/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))
% 20.43/20.73 | ~ ordere236663937imp_le(X0) ),
% 20.43/20.73 inference(rewriting,[status(thm)],[c_750]) ).
% 20.43/20.73
% 20.43/20.73 cnf(c_142,plain,
% 20.43/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.43/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)))
% 20.52/20.73 | ~ ordere779506340up_add(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_588_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_748,plain,
% 20.52/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)))
% 20.52/20.73 | ~ ordere779506340up_add(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_142]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_749,plain,
% 20.52/20.73 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.52/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 20.52/20.73 | ~ ordere779506340up_add(X0) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_748]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_141,plain,
% 20.52/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.52/20.73 | ~ ordere779506340up_add(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_589_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_746,plain,
% 20.52/20.73 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.73 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.52/20.73 | ~ ordere779506340up_add(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_141]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_747,plain,
% 20.52/20.73 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 20.52/20.73 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))
% 20.52/20.73 | ~ ordere779506340up_add(X0) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_746]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_138,plain,
% 20.52/20.73 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 20.52/20.73 | ~ semiri456707255roduct(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_592_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_740,plain,
% 20.52/20.73 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 20.52/20.73 | ~ semiri456707255roduct(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_138]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_741,plain,
% 20.52/20.73 ( ~ semiri456707255roduct(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 20.52/20.73 | ti(X0,X1) != ti(X0,X3) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_740]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_137,plain,
% 20.52/20.73 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X1))
% 20.52/20.73 | ~ semiri456707255roduct(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_593_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_738,plain,
% 20.52/20.73 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X1))
% 20.52/20.73 | ~ semiri456707255roduct(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_137]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_739,plain,
% 20.52/20.73 ( ~ semiri456707255roduct(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 20.52/20.73 | ti(X0,X2) != ti(X0,X4) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_738]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_136,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_594_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_736,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_136]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_737,plain,
% 20.52/20.73 ( ~ comm_semiring_1(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4)) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_736]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_135,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_595_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_734,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_135]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_735,plain,
% 20.52/20.73 ( ~ comm_semiring_1(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_734]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_134,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_596_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_732,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_134]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_733,plain,
% 20.52/20.73 ( ~ comm_semiring_1(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4))) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_732]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_133,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X4))
% 20.52/20.73 | ~ ab_group_add(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_597_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_730,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X4))
% 20.52/20.73 | ~ ab_group_add(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_133]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_731,plain,
% 20.52/20.73 ( ~ ab_group_add(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X4)) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_730]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_130,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_600_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_724,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_130]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_725,plain,
% 20.52/20.73 ( ~ comm_semiring_1(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_724]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_128,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ real_normed_algebra(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_602_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_720,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ real_normed_algebra(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_128]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_721,plain,
% 20.52/20.73 ( ~ real_normed_algebra(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),X2) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_720]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_127,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_603_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_718,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_127]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_719,plain,
% 20.52/20.73 ( ~ comm_semiring(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_718]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_125,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ real_normed_algebra(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_605_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_714,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ real_normed_algebra(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_125]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_715,plain,
% 20.52/20.73 ( ~ real_normed_algebra(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_714]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_124,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_606_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_712,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_124]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_713,plain,
% 20.52/20.73 ( ~ comm_semiring_1(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_712]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_123,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_607_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_710,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_123]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_711,plain,
% 20.52/20.73 ( ~ comm_semiring_1(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X2) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_710]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_122,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_608_0) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_708,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.73 | ~ comm_semiring_1(X0) ),
% 20.52/20.73 inference(copy,[status(esa)],[c_122]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_709,plain,
% 20.52/20.73 ( ~ comm_semiring_1(X0)
% 20.52/20.73 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 20.52/20.73 inference(rewriting,[status(thm)],[c_708]) ).
% 20.52/20.73
% 20.52/20.73 cnf(c_120,plain,
% 20.52/20.73 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))
% 20.52/20.74 | ~ real_normed_algebra(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_610_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_704,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))
% 20.52/20.74 | ~ real_normed_algebra(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_120]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_705,plain,
% 20.52/20.74 ( ~ real_normed_algebra(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_704]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_118,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.74 | ~ real_normed_algebra(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_612_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_700,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.74 | ~ real_normed_algebra(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_118]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_701,plain,
% 20.52/20.74 ( ~ real_normed_algebra(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_700]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_116,plain,
% 20.52/20.74 ( hBOOL(hAPP(X0,bool,hAPP(X1,fun(X0,bool),hAPP(fun(product_prod(X1,X0),bool),fun(X1,fun(X0,bool)),product_curry(X1,X0,bool),X2),X3),X4))
% 20.52/20.74 | ~ hBOOL(hAPP(product_prod(X1,X0),bool,X2,hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X3),X4))) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_614_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_696,plain,
% 20.52/20.74 ( hBOOL(hAPP(X0,bool,hAPP(X1,fun(X0,bool),hAPP(fun(product_prod(X1,X0),bool),fun(X1,fun(X0,bool)),product_curry(X1,X0,bool),X2),X3),X4))
% 20.52/20.74 | ~ hBOOL(hAPP(product_prod(X1,X0),bool,X2,hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X3),X4))) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_116]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_697,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 20.52/20.74 | hBOOL(hAPP(X1,bool,hAPP(X0,fun(X1,bool),hAPP(fun(product_prod(X0,X1),bool),fun(X0,fun(X1,bool)),product_curry(X0,X1,bool),X2),X3),X4)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_696]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_115,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 20.52/20.74 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.52/20.74 | ~ ordered_ab_group_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_615_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_694,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 20.52/20.74 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.52/20.74 | ~ ordered_ab_group_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_115]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_695,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.74 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.52/20.74 | ~ ordered_ab_group_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_694]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_114,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 20.52/20.74 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.52/20.74 | ~ ordered_ab_group_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_616_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_692,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 20.52/20.74 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.52/20.74 | ~ ordered_ab_group_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_114]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_693,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.52/20.74 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 20.52/20.74 | ~ ordered_ab_group_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_692]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_112,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_618_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_688,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_112]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_689,plain,
% 20.52/20.74 ( ~ comm_semiring_1(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_688]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_110,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_620_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_684,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_110]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_685,plain,
% 20.52/20.74 ( ~ comm_semiring_1(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_684]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_109,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.74 | ~ ab_semigroup_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_621_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_682,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 20.52/20.74 | ~ ab_semigroup_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_109]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_683,plain,
% 20.52/20.74 ( ~ ab_semigroup_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_682]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_108,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 20.52/20.74 | ~ ab_semigroup_mult(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_622_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_680,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 20.52/20.74 | ~ ab_semigroup_mult(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_108]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_681,plain,
% 20.52/20.74 ( ~ ab_semigroup_mult(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_680]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_107,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | ti(X3,X4) != ti(X3,X5)
% 20.52/20.74 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) = hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_623_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_678,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | ti(X3,X4) != ti(X3,X5)
% 20.52/20.74 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) = hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_107]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_679,plain,
% 20.52/20.74 ( hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X2),X3) = hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X4),X5)
% 20.52/20.74 | ti(X1,X2) != ti(X1,X4)
% 20.52/20.74 | ti(X0,X3) != ti(X0,X5) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_678]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_104,plain,
% 20.52/20.74 ( ti(X0,X1) = ti(X0,X2)
% 20.52/20.74 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) != hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_626_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_672,plain,
% 20.52/20.74 ( ti(X0,X1) = ti(X0,X2)
% 20.52/20.74 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) != hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_104]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_673,plain,
% 20.52/20.74 ( hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X2),X3) != hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X4),X5)
% 20.52/20.74 | ti(X1,X2) = ti(X1,X4) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_672]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_103,plain,
% 20.52/20.74 ( ti(X0,X1) = ti(X0,X2)
% 20.52/20.74 | hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X4),X1) != hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X5),X2) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_627_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_670,plain,
% 20.52/20.74 ( ti(X0,X1) = ti(X0,X2)
% 20.52/20.74 | hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X4),X1) != hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X5),X2) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_103]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_671,plain,
% 20.52/20.74 ( hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X2),X3) != hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X4),X5)
% 20.52/20.74 | ti(X0,X3) = ti(X0,X5) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_670]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_99,plain,
% 20.52/20.74 ( hAPP(X0,X1,hAPP(fun(X0,X1),fun(X0,X1),hAPP(fun(X0,X1),fun(fun(X0,X1),fun(X0,X1)),minus_minus(fun(X0,X1)),X2),X3),X4) = hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X0,X1,X2,X4)),hAPP(X0,X1,X3,X4))
% 20.52/20.74 | ~ minus(X1) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_634_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_662,plain,
% 20.52/20.74 ( hAPP(X0,X1,hAPP(fun(X0,X1),fun(X0,X1),hAPP(fun(X0,X1),fun(fun(X0,X1),fun(X0,X1)),minus_minus(fun(X0,X1)),X2),X3),X4) = hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X0,X1,X2,X4)),hAPP(X0,X1,X3,X4))
% 20.52/20.74 | ~ minus(X1) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_99]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_663,plain,
% 20.52/20.74 ( ~ minus(X0)
% 20.52/20.74 | hAPP(X1,X0,hAPP(fun(X1,X0),fun(X1,X0),hAPP(fun(X1,X0),fun(fun(X1,X0),fun(X1,X0)),minus_minus(fun(X1,X0)),X2),X3),X4) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X1,X0,X2,X4)),hAPP(X1,X0,X3,X4)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_662]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_98,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_635_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_660,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_98]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_661,plain,
% 20.52/20.74 ( ~ comm_semiring_1(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_660]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_97,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_636_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_658,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3))
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_97]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_659,plain,
% 20.52/20.74 ( ~ comm_semiring_1(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_658]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_96,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X2) = ti(X0,X1)
% 20.52/20.74 | ~ group_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_637_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_656,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X2) = ti(X0,X1)
% 20.52/20.74 | ~ group_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_96]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_657,plain,
% 20.52/20.74 ( ~ group_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X2) = ti(X0,X1) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_656]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_95,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X2) = ti(X0,X1)
% 20.52/20.74 | ~ group_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_638_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_654,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X2) = ti(X0,X1)
% 20.52/20.74 | ~ group_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_95]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_655,plain,
% 20.52/20.74 ( ~ group_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X2) = ti(X0,X1) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_654]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_93,plain,
% 20.52/20.74 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),X0),X1)) != X2
% 20.52/20.74 | hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X2)) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_640_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_650,plain,
% 20.52/20.74 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),X0),X1)) != X2
% 20.52/20.74 | hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X2)) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_93]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_651,plain,
% 20.52/20.74 ( hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0))
% 20.52/20.74 | hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),X1),X2)) != X0 ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_650]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_92,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)
% 20.52/20.74 | ~ ab_sem1668676832m_mult(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_641_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_648,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)
% 20.52/20.74 | ~ ab_sem1668676832m_mult(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_92]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_649,plain,
% 20.52/20.74 ( ~ ab_sem1668676832m_mult(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_648]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_90,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 20.52/20.74 | ti(X0,X3) = ti(X0,X4)
% 20.52/20.74 | ~ ab_group_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_643_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_644,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 20.52/20.74 | ti(X0,X3) = ti(X0,X4)
% 20.52/20.74 | ~ ab_group_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_90]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_645,plain,
% 20.52/20.74 ( ~ ab_group_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 20.52/20.74 | ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | ti(X0,X3) = ti(X0,X4) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_644]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_89,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 20.52/20.74 | ti(X0,X3) = ti(X0,X4)
% 20.52/20.74 | ~ ab_group_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_644_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_642,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 20.52/20.74 | ti(X0,X3) = ti(X0,X4)
% 20.52/20.74 | ~ ab_group_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_89]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_643,plain,
% 20.52/20.74 ( ~ ab_group_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 20.52/20.74 | ti(X0,X3) != ti(X0,X4)
% 20.52/20.74 | ti(X0,X1) = ti(X0,X2) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_642]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_85,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 20.52/20.74 | ti(X0,X2) = ti(X0,X3)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_648_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_634,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 20.52/20.74 | ti(X0,X2) = ti(X0,X3)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_85]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_635,plain,
% 20.52/20.74 ( ~ cancel_semigroup_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 20.52/20.74 | ti(X0,X2) = ti(X0,X3) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_634]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_84,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 20.52/20.74 | ti(X0,X2) = ti(X0,X3)
% 20.52/20.74 | ~ cancel146912293up_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_649_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_632,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 20.52/20.74 | ti(X0,X2) = ti(X0,X3)
% 20.52/20.74 | ~ cancel146912293up_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_84]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_633,plain,
% 20.52/20.74 ( ~ cancel146912293up_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 20.52/20.74 | ti(X0,X2) = ti(X0,X3) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_632]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_83,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 20.52/20.74 | ti(X0,X1) = ti(X0,X3)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_650_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_630,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 20.52/20.74 | ti(X0,X1) = ti(X0,X3)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_83]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_631,plain,
% 20.52/20.74 ( ~ cancel_semigroup_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 20.52/20.74 | ti(X0,X1) = ti(X0,X3) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_630]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_82,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 20.52/20.74 | X1 = X0
% 20.52/20.74 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_651_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_628,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 20.52/20.74 | X1 = X0
% 20.52/20.74 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_82]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_629,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 20.52/20.74 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0))
% 20.52/20.74 | X1 = X0 ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_628]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_81,plain,
% 20.52/20.74 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),sk1_esk1_1(X0)),sk1_esk2_1(X0))) = X0
% 20.52/20.74 | ~ hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0)) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_652_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_626,plain,
% 20.52/20.74 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),sk1_esk1_1(X0)),sk1_esk2_1(X0))) = X0
% 20.52/20.74 | ~ hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0)) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_81]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_627,plain,
% 20.52/20.74 ( ~ hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0))
% 20.52/20.74 | hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),sk1_esk1_1(X0)),sk1_esk2_1(X0))) = X0 ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_626]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_80,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_653_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_624,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_80]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_625,plain,
% 20.52/20.74 ( ~ cancel_semigroup_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 20.52/20.74 | ti(X0,X2) != ti(X0,X3) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_624]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_79,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_654_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_622,plain,
% 20.52/20.74 ( ti(X0,X1) != ti(X0,X2)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)
% 20.52/20.74 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_79]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_623,plain,
% 20.52/20.74 ( ~ cancel_semigroup_add(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 20.52/20.74 | ti(X0,X1) != ti(X0,X3) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_622]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_78,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X1)
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_655_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_620,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X1)
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_78]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_621,plain,
% 20.52/20.74 ( ~ comm_semiring_1(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X1) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_620]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_77,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X1)
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_656_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_618,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X1)
% 20.52/20.74 | ~ comm_semiring_1(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_77]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_619,plain,
% 20.52/20.74 ( ~ comm_semiring_1(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X1) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_618]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_75,plain,
% 20.52/20.74 ( X0 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)
% 20.52/20.74 | hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),X2) != X1 ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_658_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_614,plain,
% 20.52/20.74 ( X0 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)
% 20.52/20.74 | hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),X2) != X1 ),
% 20.52/20.74 inference(copy,[status(esa)],[c_75]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_615,plain,
% 20.52/20.74 ( hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),X1) != X2
% 20.52/20.74 | X0 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_614]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_73,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X1) = ti(X0,X1)
% 20.52/20.74 | ~ ab_sem1668676832m_mult(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_660_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_610,plain,
% 20.52/20.74 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X1) = ti(X0,X1)
% 20.52/20.74 | ~ ab_sem1668676832m_mult(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_73]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_611,plain,
% 20.52/20.74 ( ~ ab_sem1668676832m_mult(X0)
% 20.52/20.74 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X1) = ti(X0,X1) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_610]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_72,plain,
% 20.52/20.74 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 20.52/20.74 | ~ ab_semigroup_mult(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_664_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_608,plain,
% 20.52/20.74 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 20.52/20.74 | ~ ab_semigroup_mult(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_72]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_609,plain,
% 20.52/20.74 ( ~ ab_semigroup_mult(X0)
% 20.52/20.74 | ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0) ),
% 20.52/20.74 inference(rewriting,[status(thm)],[c_608]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_71,plain,
% 20.52/20.74 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 20.52/20.74 | ~ semiring(X0) ),
% 20.52/20.74 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_665_0) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_606,plain,
% 20.52/20.74 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 20.52/20.74 | ~ semiring(X0) ),
% 20.52/20.74 inference(copy,[status(esa)],[c_71]) ).
% 20.52/20.74
% 20.52/20.74 cnf(c_607,plain,
% 20.52/20.74 ( ~ semiring(X0)
% 20.52/20.74 | ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0) ),
% 20.52/20.75 inference(rewriting,[status(thm)],[c_606]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_70,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 20.52/20.75 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_666_0) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_604,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 20.52/20.75 | ~ cancel_semigroup_add(X0) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_70]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_605,plain,
% 20.52/20.75 ( ~ cancel_semigroup_add(X0)
% 20.52/20.75 | ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0) ),
% 20.52/20.75 inference(rewriting,[status(thm)],[c_604]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_69,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 20.52/20.75 | ~ ab_semigroup_add(X0) ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_667_0) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_602,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 20.52/20.75 | ~ ab_semigroup_add(X0) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_69]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_603,plain,
% 20.52/20.75 ( ~ ab_semigroup_add(X0)
% 20.52/20.75 | ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0) ),
% 20.52/20.75 inference(rewriting,[status(thm)],[c_602]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_68,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,X0)),minus_minus(X0)) = minus_minus(X0)
% 20.52/20.75 | ~ minus(X0) ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_668_0) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_600,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,X0)),minus_minus(X0)) = minus_minus(X0)
% 20.52/20.75 | ~ minus(X0) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_68]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_601,plain,
% 20.52/20.75 ( ~ minus(X0)
% 20.52/20.75 | ti(fun(X0,fun(X0,X0)),minus_minus(X0)) = minus_minus(X0) ),
% 20.52/20.75 inference(rewriting,[status(thm)],[c_600]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_67,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,bool)),ord_less_eq(X0)) = ord_less_eq(X0)
% 20.52/20.75 | ~ ord(X0) ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_669_0) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_598,plain,
% 20.52/20.75 ( ti(fun(X0,fun(X0,bool)),ord_less_eq(X0)) = ord_less_eq(X0)
% 20.52/20.75 | ~ ord(X0) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_67]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_599,plain,
% 20.52/20.75 ( ~ ord(X0)
% 20.52/20.75 | ti(fun(X0,fun(X0,bool)),ord_less_eq(X0)) = ord_less_eq(X0) ),
% 20.52/20.75 inference(rewriting,[status(thm)],[c_598]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_63,plain,
% 20.52/20.75 ( ~ hBOOL(X0) | hBOOL(ti(bool,X0)) ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_687_0) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_590,plain,
% 20.52/20.75 ( ~ hBOOL(X0) | hBOOL(ti(bool,X0)) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_63]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_591,plain,
% 20.52/20.75 ( hBOOL(ti(bool,X0)) | ~ hBOOL(X0) ),
% 20.52/20.75 inference(rewriting,[status(thm)],[c_590]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_62,plain,
% 20.52/20.75 ( hBOOL(X0) | ~ hBOOL(ti(bool,X0)) ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_688_0) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_588,plain,
% 20.52/20.75 ( hBOOL(X0) | ~ hBOOL(ti(bool,X0)) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_62]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_589,plain,
% 20.52/20.75 ( ~ hBOOL(ti(bool,X0)) | hBOOL(X0) ),
% 20.52/20.75 inference(rewriting,[status(thm)],[c_588]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_174,plain,
% 20.52/20.75 ( ti(int,a) = a ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_29) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_291,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_174]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_302,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_291]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_303,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_302]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_314,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_303]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_812,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_314]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_173,plain,
% 20.52/20.75 ( ti(int,b) = b ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_28) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_289,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_173]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_301,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_289]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_304,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_301]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_313,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_304]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_810,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_313]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_172,plain,
% 20.52/20.75 ( ti(int,p) = p ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_27) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_287,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_172]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_300,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_287]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_305,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_300]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_312,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_305]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_808,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_312]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_171,plain,
% 20.52/20.75 ( ti(int,q) = q ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_26) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_285,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_171]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_299,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_285]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_306,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_299]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_311,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_306]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_806,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_311]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_170,plain,
% 20.52/20.75 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_25) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_283,plain,
% 20.52/20.75 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 20.52/20.75 inference(copy,[status(esa)],[c_170]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_298,plain,
% 20.52/20.75 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 20.52/20.75 inference(copy,[status(esa)],[c_283]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_307,plain,
% 20.52/20.75 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 20.52/20.75 inference(copy,[status(esa)],[c_298]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_310,plain,
% 20.52/20.75 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 20.52/20.75 inference(copy,[status(esa)],[c_307]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_804,plain,
% 20.52/20.75 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 20.52/20.75 inference(copy,[status(esa)],[c_310]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_169,negated_conjecture,
% 20.52/20.75 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 20.52/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_24) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_293,negated_conjecture,
% 20.52/20.75 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_169]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_297,negated_conjecture,
% 20.52/20.75 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_293]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_308,negated_conjecture,
% 20.52/20.75 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_297]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_309,negated_conjecture,
% 20.52/20.75 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_308]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_802,negated_conjecture,
% 20.52/20.75 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 20.52/20.75 inference(copy,[status(esa)],[c_309]) ).
% 20.52/20.75
% 20.52/20.75 cnf(c_168,plain,
% 20.52/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),sk1_esk3_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),hAPP(X1,fun(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),product_Pair(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),sk1_esk4_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5))),hAPP(X2,fun(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_Pair(X2,product_prod(X3,product_prod(X4,X5))),sk1_esk5_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5)),hAPP(X3,fun(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5))),product_Pair(X3,product_prod(X4,X5)),sk1_esk6_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(X5,product_prod(X4,X5),hAPP(X4,fun(X5,product_prod(X4,X5)),product_Pair(X4,X5),sk1_esk7_8(X5,X4,X3,X2,X1,X0,X7,X6)),sk1_esk8_8(X5,X4,X3,X2,X1,X0,X7,X6))))))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,X7)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_561_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_800,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),sk1_esk3_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),hAPP(X1,fun(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),product_Pair(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),sk1_esk4_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5))),hAPP(X2,fun(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_Pair(X2,product_prod(X3,product_prod(X4,X5))),sk1_esk5_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5)),hAPP(X3,fun(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5))),product_Pair(X3,product_prod(X4,X5)),sk1_esk6_8(X5,X4,X3,X2,X1,X0,X7,X6)),hAPP(X5,product_prod(X4,X5),hAPP(X4,fun(X5,product_prod(X4,X5)),product_Pair(X4,X5),sk1_esk7_8(X5,X4,X3,X2,X1,X0,X7,X6)),sk1_esk8_8(X5,X4,X3,X2,X1,X0,X7,X6))))))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,X7)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_168]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_167,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),sk1_esk9_7(X4,X3,X2,X1,X0,X6,X5)),hAPP(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4))),hAPP(X1,fun(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4)))),product_Pair(X1,product_prod(X2,product_prod(X3,X4))),sk1_esk10_7(X4,X3,X2,X1,X0,X6,X5)),hAPP(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4)),hAPP(X2,fun(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4))),product_Pair(X2,product_prod(X3,X4)),sk1_esk11_7(X4,X3,X2,X1,X0,X6,X5)),hAPP(X4,product_prod(X3,X4),hAPP(X3,fun(X4,product_prod(X3,X4)),product_Pair(X3,X4),sk1_esk12_7(X4,X3,X2,X1,X0,X6,X5)),sk1_esk13_7(X4,X3,X2,X1,X0,X6,X5)))))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,X6)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_562_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_798,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),sk1_esk9_7(X4,X3,X2,X1,X0,X6,X5)),hAPP(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4))),hAPP(X1,fun(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4)))),product_Pair(X1,product_prod(X2,product_prod(X3,X4))),sk1_esk10_7(X4,X3,X2,X1,X0,X6,X5)),hAPP(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4)),hAPP(X2,fun(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4))),product_Pair(X2,product_prod(X3,X4)),sk1_esk11_7(X4,X3,X2,X1,X0,X6,X5)),hAPP(X4,product_prod(X3,X4),hAPP(X3,fun(X4,product_prod(X3,X4)),product_Pair(X3,X4),sk1_esk12_7(X4,X3,X2,X1,X0,X6,X5)),sk1_esk13_7(X4,X3,X2,X1,X0,X6,X5)))))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,X6)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_167]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_166,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,hAPP(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3))),hAPP(X0,fun(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3)))),product_Pair(X0,product_prod(X1,product_prod(X2,X3))),sk1_esk14_6(X3,X2,X1,X0,X5,X4)),hAPP(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3)),hAPP(X1,fun(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3))),product_Pair(X1,product_prod(X2,X3)),sk1_esk15_6(X3,X2,X1,X0,X5,X4)),hAPP(X3,product_prod(X2,X3),hAPP(X2,fun(X3,product_prod(X2,X3)),product_Pair(X2,X3),sk1_esk16_6(X3,X2,X1,X0,X5,X4)),sk1_esk17_6(X3,X2,X1,X0,X5,X4))))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,X5)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_563_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_796,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,hAPP(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3))),hAPP(X0,fun(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3)))),product_Pair(X0,product_prod(X1,product_prod(X2,X3))),sk1_esk14_6(X3,X2,X1,X0,X5,X4)),hAPP(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3)),hAPP(X1,fun(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3))),product_Pair(X1,product_prod(X2,X3)),sk1_esk15_6(X3,X2,X1,X0,X5,X4)),hAPP(X3,product_prod(X2,X3),hAPP(X2,fun(X3,product_prod(X2,X3)),product_Pair(X2,X3),sk1_esk16_6(X3,X2,X1,X0,X5,X4)),sk1_esk17_6(X3,X2,X1,X0,X5,X4))))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,X5)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_166]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_165,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4)),X5))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5)))
% 20.55/20.75 | ~ ordered_ring(X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_564_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_794,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4)),X5))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5)))
% 20.55/20.75 | ~ ordered_ring(X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_165]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_162,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5)))
% 20.55/20.75 | ~ ordered_ring(X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_567_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_788,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5)))
% 20.55/20.75 | ~ ordered_ring(X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_162]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_161,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,hAPP(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2)),hAPP(X0,fun(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2))),product_Pair(X0,product_prod(X1,X2)),sk1_esk18_5(X2,X1,X0,X4,X3)),hAPP(X2,product_prod(X1,X2),hAPP(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),sk1_esk19_5(X2,X1,X0,X4,X3)),sk1_esk20_5(X2,X1,X0,X4,X3)))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,X4)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_568_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_786,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,hAPP(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2)),hAPP(X0,fun(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2))),product_Pair(X0,product_prod(X1,X2)),sk1_esk18_5(X2,X1,X0,X4,X3)),hAPP(X2,product_prod(X1,X2),hAPP(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),sk1_esk19_5(X2,X1,X0,X4,X3)),sk1_esk20_5(X2,X1,X0,X4,X3)))))
% 20.55/20.75 | hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,X4)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_161]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_151,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 20.55/20.75 | ~ ordere236663937imp_le(X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_579_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_766,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 20.55/20.75 | ~ ordere236663937imp_le(X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_151]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_150,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))
% 20.55/20.75 | ~ ordere236663937imp_le(X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_580_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_764,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))
% 20.55/20.75 | ~ ordere236663937imp_le(X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_150]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_132,plain,
% 20.55/20.75 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)))
% 20.55/20.75 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_598_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_728,plain,
% 20.55/20.75 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)))
% 20.55/20.75 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_132]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_117,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(fun(X0,X1),bool,hAPP(fun(X0,X1),fun(fun(X0,X1),bool),ord_less_eq(fun(X0,X1)),X2),X3))
% 20.55/20.75 | hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X0,X1,X2,X4)),hAPP(X0,X1,X3,X4)))
% 20.55/20.75 | ~ ord(X1) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_613_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_698,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(fun(X0,X1),bool,hAPP(fun(X0,X1),fun(fun(X0,X1),bool),ord_less_eq(fun(X0,X1)),X2),X3))
% 20.55/20.75 | hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X0,X1,X2,X4)),hAPP(X0,X1,X3,X4)))
% 20.55/20.75 | ~ ord(X1) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_117]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_101,plain,
% 20.55/20.75 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 20.55/20.75 | ~ hBOOL(hAPP(X1,bool,hAPP(X0,fun(X1,bool),hAPP(fun(product_prod(X0,X1),bool),fun(X0,fun(X1,bool)),product_curry(X0,X1,bool),X2),X3),X4)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_632_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_666,plain,
% 20.55/20.75 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 20.55/20.75 | ~ hBOOL(hAPP(X1,bool,hAPP(X0,fun(X1,bool),hAPP(fun(product_prod(X0,X1),bool),fun(X0,fun(X1,bool)),product_curry(X0,X1,bool),X2),X3),X4)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_101]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_94,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 20.55/20.75 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))
% 20.55/20.75 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X0)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_639_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_652,plain,
% 20.55/20.75 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 20.55/20.75 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))
% 20.55/20.75 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X0)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_94]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_91,plain,
% 20.55/20.75 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))
% 20.55/20.75 | ~ linorder(X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_642_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_646,plain,
% 20.55/20.75 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 20.55/20.75 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))
% 20.55/20.75 | ~ linorder(X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_91]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_88,plain,
% 20.55/20.75 ( hAPP(X0,X1,X2,sk1_esk21_4(X1,X0,X3,X2)) != hAPP(X0,X1,X3,sk1_esk21_4(X1,X0,X3,X2))
% 20.55/20.75 | ti(fun(X0,X1),X2) = ti(fun(X0,X1),X3) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_645_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_640,plain,
% 20.55/20.75 ( hAPP(X0,X1,X2,sk1_esk21_4(X1,X0,X3,X2)) != hAPP(X0,X1,X3,sk1_esk21_4(X1,X0,X3,X2))
% 20.55/20.75 | ti(fun(X0,X1),X2) = ti(fun(X0,X1),X3) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_88]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_76,plain,
% 20.55/20.75 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X1))
% 20.55/20.75 | ~ preorder(X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_657_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_616,plain,
% 20.55/20.75 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X1))
% 20.55/20.75 | ~ preorder(X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_76]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_66,plain,
% 20.55/20.75 ( minus(fun(X0,X1)) | ~ minus(X1) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_680_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_596,plain,
% 20.55/20.75 ( minus(fun(X0,X1)) | ~ minus(X1) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_66]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_65,plain,
% 20.55/20.75 ( ord(fun(X0,X1)) | ~ ord(X1) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_681_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_594,plain,
% 20.55/20.75 ( ord(fun(X0,X1)) | ~ ord(X1) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_65]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_64,plain,
% 20.55/20.75 ( preorder(fun(X0,X1)) | ~ preorder(X1) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_682_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_592,plain,
% 20.55/20.75 ( preorder(fun(X0,X1)) | ~ preorder(X1) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_64]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_54,plain,
% 20.55/20.75 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_670_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_579,plain,
% 20.55/20.75 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_54]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_43,plain,
% 20.55/20.75 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_684_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_567,plain,
% 20.55/20.75 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_43]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_42,plain,
% 20.55/20.75 ( hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_685_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_565,plain,
% 20.55/20.75 ( hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_42]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_40,plain,
% 20.55/20.75 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X0)) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_689_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_562,plain,
% 20.55/20.75 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X0)) ),
% 20.55/20.75 inference(copy,[status(esa)],[c_40]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_38,plain,
% 20.55/20.75 ( minus(bool) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_691_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_559,plain,( minus(bool) ),inference(copy,[status(esa)],[c_38]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_37,plain,
% 20.55/20.75 ( ord(bool) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_692_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_557,plain,( ord(bool) ),inference(copy,[status(esa)],[c_37]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_36,plain,
% 20.55/20.75 ( preorder(bool) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_693_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_555,plain,( preorder(bool) ),inference(copy,[status(esa)],[c_36]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_35,plain,
% 20.55/20.75 ( ring(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_694_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_553,plain,( ring(int) ),inference(copy,[status(esa)],[c_35]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_34,plain,
% 20.55/20.75 ( minus(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_695_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_551,plain,( minus(int) ),inference(copy,[status(esa)],[c_34]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_33,plain,
% 20.55/20.75 ( ord(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_696_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_549,plain,( ord(int) ),inference(copy,[status(esa)],[c_33]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_32,plain,
% 20.55/20.75 ( semiring(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_697_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_547,plain,( semiring(int) ),inference(copy,[status(esa)],[c_32]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_31,plain,
% 20.55/20.75 ( group_add(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_698_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_545,plain,( group_add(int) ),inference(copy,[status(esa)],[c_31]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_30,plain,
% 20.55/20.75 ( linorder(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_699_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_543,plain,( linorder(int) ),inference(copy,[status(esa)],[c_30]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_29,plain,
% 20.55/20.75 ( preorder(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_700_0) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_541,plain,( preorder(int) ),inference(copy,[status(esa)],[c_29]) ).
% 20.55/20.75
% 20.55/20.75 cnf(c_28,plain,
% 20.55/20.75 ( ordered_ring(int) ),
% 20.55/20.75 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_701_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_539,plain,( ordered_ring(int) ),inference(copy,[status(esa)],[c_28]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_27,plain,
% 20.55/20.76 ( ab_group_add(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_702_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_537,plain,( ab_group_add(int) ),inference(copy,[status(esa)],[c_27]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_26,plain,
% 20.55/20.76 ( comm_semiring(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_703_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_535,plain,
% 20.55/20.76 ( comm_semiring(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_26]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_25,plain,
% 20.55/20.76 ( comm_semiring_1(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_704_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_533,plain,
% 20.55/20.76 ( comm_semiring_1(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_25]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_24,plain,
% 20.55/20.76 ( ab_semigroup_add(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_705_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_531,plain,
% 20.55/20.76 ( ab_semigroup_add(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_24]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_23,plain,
% 20.55/20.76 ( ab_semigroup_mult(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_706_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_529,plain,
% 20.55/20.76 ( ab_semigroup_mult(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_23]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_22,plain,
% 20.55/20.76 ( cancel_semigroup_add(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_707_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_527,plain,
% 20.55/20.76 ( cancel_semigroup_add(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_22]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_21,plain,
% 20.55/20.76 ( ordered_ab_group_add(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_708_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_525,plain,
% 20.55/20.76 ( ordered_ab_group_add(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_21]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_20,plain,
% 20.55/20.76 ( cancel146912293up_add(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_709_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_523,plain,
% 20.55/20.76 ( cancel146912293up_add(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_20]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_19,plain,
% 20.55/20.76 ( ordere779506340up_add(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_710_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_521,plain,
% 20.55/20.76 ( ordere779506340up_add(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_19]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_18,plain,
% 20.55/20.76 ( ordere236663937imp_le(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_711_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_519,plain,
% 20.55/20.76 ( ordere236663937imp_le(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_18]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_17,plain,
% 20.55/20.76 ( semiri456707255roduct(int) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_712_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_517,plain,
% 20.55/20.76 ( semiri456707255roduct(int) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_17]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_8,plain,
% 20.55/20.76 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 20.55/20.76 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_46_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_506,plain,
% 20.55/20.76 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 20.55/20.76 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_8]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_6,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk2_esk26_3(X0,X1,X2)))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4))) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_45_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_502,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk2_esk26_3(X0,X1,X2)))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4))) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_6]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_503,plain,
% 20.55/20.76 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 20.55/20.76 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk2_esk26_3(X0,X1,X2))) ),
% 20.55/20.76 inference(rewriting,[status(thm)],[c_502]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_4,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk2_esk23_3(X0,X1,X2)),sk2_esk24_3(X0,X1,X2)))) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_44_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_498,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk2_esk23_3(X0,X1,X2)),sk2_esk24_3(X0,X1,X2)))) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_4]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_499,plain,
% 20.55/20.76 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk2_esk23_3(X0,X1,X2)),sk2_esk24_3(X0,X1,X2))))
% 20.55/20.76 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3)) ),
% 20.55/20.76 inference(rewriting,[status(thm)],[c_498]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_2,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk2_esk25_3(X0,X1,X2))) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_42_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_494,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk2_esk25_3(X0,X1,X2))) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_2]) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_0,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk2_esk27_3(X0,X1,X2)),sk2_esk28_3(X0,X1,X2))))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3)) ),
% 20.55/20.76 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_41_0) ).
% 20.55/20.76
% 20.55/20.76 cnf(c_490,plain,
% 20.55/20.76 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk2_esk27_3(X0,X1,X2)),sk2_esk28_3(X0,X1,X2))))
% 20.55/20.76 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3)) ),
% 20.55/20.76 inference(copy,[status(esa)],[c_0]) ).
% 20.55/20.76
% 20.55/20.76
% 20.55/20.76
% 20.55/20.76 % ------ Statistics
% 20.55/20.76
% 20.55/20.76 % ------ General
% 20.55/20.76
% 20.55/20.76 % num_of_input_clauses: 175
% 20.55/20.76 % num_of_input_neg_conjectures: 1
% 20.55/20.76 % num_of_splits: 0
% 20.55/20.76 % num_of_split_atoms: 0
% 20.55/20.76 % num_of_sem_filtered_clauses: 0
% 20.55/20.76 % num_of_subtypes: 0
% 20.55/20.76 % monotx_restored_types: 0
% 20.55/20.76 % sat_num_of_epr_types: 0
% 20.55/20.76 % sat_num_of_non_cyclic_types: 0
% 20.55/20.76 % sat_guarded_non_collapsed_types: 0
% 20.55/20.76 % is_epr: 0
% 20.55/20.76 % is_horn: 0
% 20.55/20.76 % has_eq: 1
% 20.55/20.76 % num_pure_diseq_elim: 0
% 20.55/20.76 % simp_replaced_by: 0
% 20.55/20.76 % res_preprocessed: 7
% 20.55/20.76 % prep_upred: 0
% 20.55/20.76 % prep_unflattend: 0
% 20.55/20.76 % pred_elim_cands: 0
% 20.55/20.76 % pred_elim: 0
% 20.55/20.76 % pred_elim_cl: 0
% 20.55/20.76 % pred_elim_cycles: 0
% 20.55/20.76 % forced_gc_time: 0
% 20.55/20.76 % gc_basic_clause_elim: 0
% 20.55/20.76 % parsing_time: 0.025
% 20.55/20.76 % sem_filter_time: 0.
% 20.55/20.76 % pred_elim_time: 0.
% 20.55/20.76 % out_proof_time: 0.
% 20.55/20.76 % monotx_time: 0.
% 20.55/20.76 % subtype_inf_time: 0.
% 20.55/20.76 % unif_index_cands_time: 0.
% 20.55/20.76 % unif_index_add_time: 0.
% 20.55/20.76 % total_time: 20.29
% 20.55/20.76 % num_of_symbols: 118
% 20.55/20.76 % num_of_terms: 1566
% 20.55/20.76
% 20.55/20.76 % ------ Propositional Solver
% 20.55/20.76
% 20.55/20.76 % prop_solver_calls: 1
% 20.55/20.76 % prop_fast_solver_calls: 13
% 20.55/20.76 % prop_num_of_clauses: 259
% 20.55/20.76 % prop_preprocess_simplified: 416
% 20.55/20.76 % prop_fo_subsumed: 0
% 20.55/20.76 % prop_solver_time: 0.
% 20.55/20.76 % prop_fast_solver_time: 0.
% 20.55/20.76 % prop_unsat_core_time: 0.
% 20.55/20.76
% 20.55/20.76 % ------ QBF
% 20.55/20.76
% 20.55/20.76 % qbf_q_res: 0
% 20.55/20.76 % qbf_num_tautologies: 0
% 20.55/20.76 % qbf_prep_cycles: 0
% 20.55/20.76
% 20.55/20.76 % ------ BMC1
% 20.55/20.76
% 20.55/20.76 % bmc1_current_bound: -1
% 20.55/20.76 % bmc1_last_solved_bound: -1
% 20.55/20.76 % bmc1_unsat_core_size: -1
% 20.55/20.76 % bmc1_unsat_core_parents_size: -1
% 20.55/20.76 % bmc1_merge_next_fun: 0
% 20.55/20.76 % bmc1_unsat_core_clauses_time: 0.
% 20.55/20.76
% 20.55/20.76 % ------ Instantiation
% 20.55/20.76
% 20.55/20.76 % inst_num_of_clauses: 155
% 20.55/20.76 % inst_num_in_passive: 0
% 20.55/20.76 % inst_num_in_active: 0
% 20.55/20.76 % inst_num_in_unprocessed: 175
% 20.55/20.76 % inst_num_of_loops: 0
% 20.55/20.76 % inst_num_of_learning_restarts: 0
% 20.55/20.76 % inst_num_moves_active_passive: 0
% 20.55/20.76 % inst_lit_activity: 0
% 20.55/20.76 % inst_lit_activity_moves: 0
% 20.55/20.76 % inst_num_tautologies: 0
% 20.55/20.76 % inst_num_prop_implied: 0
% 20.55/20.76 % inst_num_existing_simplified: 0
% 20.55/20.76 % inst_num_eq_res_simplified: 0
% 20.55/20.76 % inst_num_child_elim: 0
% 20.55/20.76 % inst_num_of_dismatching_blockings: 0
% 20.55/20.76 % inst_num_of_non_proper_insts: 0
% 20.55/20.76 % inst_num_of_duplicates: 0
% 20.55/20.76 % inst_inst_num_from_inst_to_res: 0
% 20.55/20.76 % inst_dismatching_checking_time: 0.
% 20.55/20.76
% 20.55/20.76 % ------ Resolution
% 20.55/20.76
% 20.55/20.76 % res_num_of_clauses: 225
% 20.55/20.76 % res_num_in_passive: 0
% 20.55/20.76 % res_num_in_active: 125
% 20.55/20.76 % res_num_of_loops: 7
% 20.55/20.76 % res_forward_subset_subsumed: 24
% 20.55/20.76 % res_backward_subset_subsumed: 0
% 20.55/20.76 % res_forward_subsumed: 0
% 20.55/20.76 % res_backward_subsumed: 0
% 20.55/20.76 % res_forward_subsumption_resolution: 0
% 20.55/20.76 % res_backward_subsumption_resolution: 0
% 20.55/20.76 % res_clause_to_clause_subsumption: 0
% 20.55/20.76 % res_orphan_elimination: 0
% 20.55/20.76 % res_tautology_del: 0
% 20.55/20.76 % res_num_eq_res_simplified: 0
% 20.55/20.76 % res_num_sel_changes: 0
% 20.55/20.76 % res_moves_from_active_to_pass: 0
% 20.55/20.76
% 20.55/20.76 % Status Unknown
% 20.60/20.86 % Orienting using strategy ClausalAll
% 20.60/20.86 % FOF problem with conjecture
% 20.60/20.86 % 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_0cc9e8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_71cf60.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_fbd467 | grep -v "SZS"
% 20.60/20.88
% 20.60/20.88 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 20.60/20.88
% 20.60/20.88 %
% 20.60/20.88 % ------ iProver source info
% 20.60/20.88
% 20.60/20.88 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 20.60/20.88 % git: non_committed_changes: true
% 20.60/20.88 % git: last_make_outside_of_git: true
% 20.60/20.88
% 20.60/20.88 %
% 20.60/20.88 % ------ Input Options
% 20.60/20.88
% 20.60/20.88 % --out_options all
% 20.60/20.88 % --tptp_safe_out true
% 20.60/20.88 % --problem_path ""
% 20.60/20.88 % --include_path ""
% 20.60/20.88 % --clausifier .//eprover
% 20.60/20.88 % --clausifier_options --tstp-format
% 20.60/20.88 % --stdin false
% 20.60/20.88 % --dbg_backtrace false
% 20.60/20.88 % --dbg_dump_prop_clauses false
% 20.60/20.88 % --dbg_dump_prop_clauses_file -
% 20.60/20.88 % --dbg_out_stat false
% 20.60/20.88
% 20.60/20.88 % ------ General Options
% 20.60/20.88
% 20.60/20.88 % --fof false
% 20.60/20.88 % --time_out_real 150.
% 20.60/20.88 % --time_out_prep_mult 0.2
% 20.60/20.88 % --time_out_virtual -1.
% 20.60/20.88 % --schedule none
% 20.60/20.88 % --ground_splitting input
% 20.60/20.88 % --splitting_nvd 16
% 20.60/20.88 % --non_eq_to_eq false
% 20.60/20.88 % --prep_gs_sim true
% 20.60/20.88 % --prep_unflatten false
% 20.60/20.88 % --prep_res_sim true
% 20.60/20.88 % --prep_upred true
% 20.60/20.88 % --res_sim_input true
% 20.60/20.88 % --clause_weak_htbl true
% 20.60/20.88 % --gc_record_bc_elim false
% 20.60/20.88 % --symbol_type_check false
% 20.60/20.88 % --clausify_out false
% 20.60/20.88 % --large_theory_mode false
% 20.60/20.88 % --prep_sem_filter none
% 20.60/20.88 % --prep_sem_filter_out false
% 20.60/20.88 % --preprocessed_out false
% 20.60/20.88 % --sub_typing false
% 20.60/20.88 % --brand_transform false
% 20.60/20.88 % --pure_diseq_elim true
% 20.60/20.88 % --min_unsat_core false
% 20.60/20.88 % --pred_elim true
% 20.60/20.88 % --add_important_lit false
% 20.60/20.88 % --soft_assumptions false
% 20.60/20.88 % --reset_solvers false
% 20.60/20.88 % --bc_imp_inh []
% 20.60/20.88 % --conj_cone_tolerance 1.5
% 20.60/20.88 % --prolific_symb_bound 500
% 20.60/20.88 % --lt_threshold 2000
% 20.60/20.88
% 20.60/20.88 % ------ SAT Options
% 20.60/20.88
% 20.60/20.88 % --sat_mode false
% 20.60/20.88 % --sat_fm_restart_options ""
% 20.60/20.88 % --sat_gr_def false
% 20.60/20.88 % --sat_epr_types true
% 20.60/20.88 % --sat_non_cyclic_types false
% 20.60/20.88 % --sat_finite_models false
% 20.60/20.88 % --sat_fm_lemmas false
% 20.60/20.88 % --sat_fm_prep false
% 20.60/20.88 % --sat_fm_uc_incr true
% 20.60/20.88 % --sat_out_model small
% 20.60/20.88 % --sat_out_clauses false
% 20.60/20.88
% 20.60/20.88 % ------ QBF Options
% 20.60/20.88
% 20.60/20.88 % --qbf_mode false
% 20.60/20.88 % --qbf_elim_univ true
% 20.60/20.88 % --qbf_sk_in true
% 20.60/20.88 % --qbf_pred_elim true
% 20.60/20.88 % --qbf_split 32
% 20.60/20.88
% 20.60/20.88 % ------ BMC1 Options
% 20.60/20.88
% 20.60/20.88 % --bmc1_incremental false
% 20.60/20.88 % --bmc1_axioms reachable_all
% 20.60/20.88 % --bmc1_min_bound 0
% 20.60/20.88 % --bmc1_max_bound -1
% 20.60/20.88 % --bmc1_max_bound_default -1
% 20.60/20.88 % --bmc1_symbol_reachability true
% 20.60/20.88 % --bmc1_property_lemmas false
% 20.60/20.88 % --bmc1_k_induction false
% 20.60/20.88 % --bmc1_non_equiv_states false
% 20.60/20.88 % --bmc1_deadlock false
% 20.60/20.88 % --bmc1_ucm false
% 20.60/20.88 % --bmc1_add_unsat_core none
% 20.60/20.88 % --bmc1_unsat_core_children false
% 20.60/20.88 % --bmc1_unsat_core_extrapolate_axioms false
% 20.60/20.88 % --bmc1_out_stat full
% 20.60/20.88 % --bmc1_ground_init false
% 20.60/20.88 % --bmc1_pre_inst_next_state false
% 20.60/20.88 % --bmc1_pre_inst_state false
% 20.60/20.88 % --bmc1_pre_inst_reach_state false
% 20.60/20.88 % --bmc1_out_unsat_core false
% 20.60/20.88 % --bmc1_aig_witness_out false
% 20.60/20.88 % --bmc1_verbose false
% 20.60/20.88 % --bmc1_dump_clauses_tptp false
% 30.55/30.78 % --bmc1_dump_unsat_core_tptp false
% 30.55/30.78 % --bmc1_dump_file -
% 30.55/30.78 % --bmc1_ucm_expand_uc_limit 128
% 30.55/30.78 % --bmc1_ucm_n_expand_iterations 6
% 30.55/30.78 % --bmc1_ucm_extend_mode 1
% 30.55/30.78 % --bmc1_ucm_init_mode 2
% 30.55/30.78 % --bmc1_ucm_cone_mode none
% 30.55/30.78 % --bmc1_ucm_reduced_relation_type 0
% 30.55/30.78 % --bmc1_ucm_relax_model 4
% 30.55/30.78 % --bmc1_ucm_full_tr_after_sat true
% 30.55/30.78 % --bmc1_ucm_expand_neg_assumptions false
% 30.55/30.78 % --bmc1_ucm_layered_model none
% 30.55/30.78 % --bmc1_ucm_max_lemma_size 10
% 30.55/30.78
% 30.55/30.78 % ------ AIG Options
% 30.55/30.78
% 30.55/30.78 % --aig_mode false
% 30.55/30.78
% 30.55/30.78 % ------ Instantiation Options
% 30.55/30.78
% 30.55/30.78 % --instantiation_flag true
% 30.55/30.78 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 30.55/30.78 % --inst_solver_per_active 750
% 30.55/30.78 % --inst_solver_calls_frac 0.5
% 30.55/30.78 % --inst_passive_queue_type priority_queues
% 30.55/30.78 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 30.55/30.78 % --inst_passive_queues_freq [25;2]
% 30.55/30.78 % --inst_dismatching true
% 30.55/30.78 % --inst_eager_unprocessed_to_passive true
% 30.55/30.78 % --inst_prop_sim_given true
% 30.55/30.78 % --inst_prop_sim_new false
% 30.55/30.78 % --inst_orphan_elimination true
% 30.55/30.78 % --inst_learning_loop_flag true
% 30.55/30.78 % --inst_learning_start 3000
% 30.55/30.78 % --inst_learning_factor 2
% 30.55/30.78 % --inst_start_prop_sim_after_learn 3
% 30.55/30.78 % --inst_sel_renew solver
% 30.55/30.78 % --inst_lit_activity_flag true
% 30.55/30.78 % --inst_out_proof true
% 30.55/30.78
% 30.55/30.78 % ------ Resolution Options
% 30.55/30.78
% 30.55/30.78 % --resolution_flag true
% 30.55/30.78 % --res_lit_sel kbo_max
% 30.55/30.78 % --res_to_prop_solver none
% 30.55/30.78 % --res_prop_simpl_new false
% 30.55/30.78 % --res_prop_simpl_given false
% 30.55/30.78 % --res_passive_queue_type priority_queues
% 30.55/30.78 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 30.55/30.78 % --res_passive_queues_freq [15;5]
% 30.55/30.78 % --res_forward_subs full
% 30.55/30.78 % --res_backward_subs full
% 30.55/30.78 % --res_forward_subs_resolution true
% 30.55/30.78 % --res_backward_subs_resolution true
% 30.55/30.78 % --res_orphan_elimination false
% 30.55/30.78 % --res_time_limit 1000.
% 30.55/30.78 % --res_out_proof true
% 30.55/30.78 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_0cc9e8.s
% 30.55/30.78 % --modulo true
% 30.55/30.78
% 30.55/30.78 % ------ Combination Options
% 30.55/30.78
% 30.55/30.78 % --comb_res_mult 1000
% 30.55/30.78 % --comb_inst_mult 300
% 30.55/30.78 % ------
% 30.55/30.78
% 30.55/30.78 % ------ Parsing...% successful
% 30.55/30.78
% 30.55/30.78 % ------ 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 %
% 30.55/30.78
% 30.55/30.78 % ------ Proving...
% 30.55/30.78 % ------ Problem Properties
% 30.55/30.78
% 30.55/30.78 %
% 30.55/30.78 % EPR false
% 30.55/30.78 % Horn false
% 30.55/30.78 % Has equality true
% 30.55/30.78
% 30.55/30.78 % % ------ Input Options Time Limit: Unbounded
% 30.55/30.78
% 30.55/30.78
% 30.55/30.78 Compiling...
% 30.55/30.78 Loading plugin: done.
% 30.55/30.78 Compiling...
% 30.55/30.78 Loading plugin: done.
% 30.55/30.78 Compiling...
% 30.55/30.78 Loading plugin: done.
% 30.55/30.78 % % ------ Current options:
% 30.55/30.78
% 30.55/30.78 % ------ Input Options
% 30.55/30.78
% 30.55/30.78 % --out_options all
% 30.55/30.78 % --tptp_safe_out true
% 30.55/30.78 % --problem_path ""
% 30.55/30.78 % --include_path ""
% 30.55/30.78 % --clausifier .//eprover
% 30.55/30.78 % --clausifier_options --tstp-format
% 30.55/30.78 % --stdin false
% 30.55/30.78 % --dbg_backtrace false
% 30.55/30.78 % --dbg_dump_prop_clauses false
% 30.55/30.78 % --dbg_dump_prop_clauses_file -
% 30.55/30.78 % --dbg_out_stat false
% 30.55/30.78
% 30.55/30.78 % ------ General Options
% 30.55/30.78
% 30.55/30.78 % --fof false
% 30.55/30.78 % --time_out_real 150.
% 30.55/30.78 % --time_out_prep_mult 0.2
% 30.55/30.78 % --time_out_virtual -1.
% 30.55/30.78 % --schedule none
% 30.55/30.78 % --ground_splitting input
% 30.55/30.78 % --splitting_nvd 16
% 30.55/30.78 % --non_eq_to_eq false
% 30.55/30.78 % --prep_gs_sim true
% 30.55/30.78 % --prep_unflatten false
% 30.55/30.78 % --prep_res_sim true
% 30.55/30.78 % --prep_upred true
% 30.55/30.78 % --res_sim_input true
% 30.55/30.78 % --clause_weak_htbl true
% 30.55/30.78 % --gc_record_bc_elim false
% 30.55/30.78 % --symbol_type_check false
% 30.55/30.78 % --clausify_out false
% 30.55/30.78 % --large_theory_mode false
% 30.55/30.78 % --prep_sem_filter none
% 30.55/30.78 % --prep_sem_filter_out false
% 30.55/30.78 % --preprocessed_out false
% 30.55/30.78 % --sub_typing false
% 30.55/30.78 % --brand_transform false
% 30.55/30.78 % --pure_diseq_elim true
% 30.55/30.78 % --min_unsat_core false
% 30.55/30.78 % --pred_elim true
% 30.55/30.78 % --add_important_lit false
% 30.55/30.78 % --soft_assumptions false
% 30.55/30.78 % --reset_solvers false
% 30.55/30.78 % --bc_imp_inh []
% 30.55/30.78 % --conj_cone_tolerance 1.5
% 30.55/30.78 % --prolific_symb_bound 500
% 30.55/30.78 % --lt_threshold 2000
% 30.55/30.78
% 30.55/30.78 % ------ SAT Options
% 30.55/30.78
% 30.55/30.78 % --sat_mode false
% 30.55/30.78 % --sat_fm_restart_options ""
% 30.55/30.78 % --sat_gr_def false
% 30.55/30.78 % --sat_epr_types true
% 30.55/30.78 % --sat_non_cyclic_types false
% 30.55/30.78 % --sat_finite_models false
% 30.55/30.78 % --sat_fm_lemmas false
% 30.55/30.78 % --sat_fm_prep false
% 30.55/30.78 % --sat_fm_uc_incr true
% 30.55/30.78 % --sat_out_model small
% 30.55/30.78 % --sat_out_clauses false
% 30.55/30.78
% 30.55/30.78 % ------ QBF Options
% 30.55/30.78
% 30.55/30.78 % --qbf_mode false
% 30.55/30.78 % --qbf_elim_univ true
% 30.55/30.78 % --qbf_sk_in true
% 30.55/30.78 % --qbf_pred_elim true
% 30.55/30.78 % --qbf_split 32
% 30.55/30.78
% 30.55/30.78 % ------ BMC1 Options
% 30.55/30.78
% 30.55/30.78 % --bmc1_incremental false
% 30.55/30.78 % --bmc1_axioms reachable_all
% 30.55/30.78 % --bmc1_min_bound 0
% 30.55/30.78 % --bmc1_max_bound -1
% 30.55/30.78 % --bmc1_max_bound_default -1
% 30.55/30.78 % --bmc1_symbol_reachability true
% 30.55/30.78 % --bmc1_property_lemmas false
% 30.55/30.78 % --bmc1_k_induction false
% 30.55/30.78 % --bmc1_non_equiv_states false
% 30.55/30.78 % --bmc1_deadlock false
% 30.55/30.78 % --bmc1_ucm false
% 30.55/30.78 % --bmc1_add_unsat_core none
% 30.55/30.78 % --bmc1_unsat_core_children false
% 30.55/30.78 % --bmc1_unsat_core_extrapolate_axioms false
% 30.55/30.78 % --bmc1_out_stat full
% 30.55/30.78 % --bmc1_ground_init false
% 30.55/30.78 % --bmc1_pre_inst_next_state false
% 30.55/30.78 % --bmc1_pre_inst_state false
% 30.55/30.78 % --bmc1_pre_inst_reach_state false
% 30.55/30.78 % --bmc1_out_unsat_core false
% 30.55/30.78 % --bmc1_aig_witness_out false
% 30.55/30.78 % --bmc1_verbose false
% 30.55/30.78 % --bmc1_dump_clauses_tptp false
% 30.55/30.78 % --bmc1_dump_unsat_core_tptp false
% 30.55/30.78 % --bmc1_dump_file -
% 30.55/30.78 % --bmc1_ucm_expand_uc_limit 128
% 30.55/30.78 % --bmc1_ucm_n_expand_iterations 6
% 30.55/30.78 % --bmc1_ucm_extend_mode 1
% 30.55/30.78 % --bmc1_ucm_init_mode 2
% 30.55/30.78 % --bmc1_ucm_cone_mode none
% 30.55/30.78 % --bmc1_ucm_reduced_relation_type 0
% 30.55/30.78 % --bmc1_ucm_relax_model 4
% 30.55/30.78 % --bmc1_ucm_full_tr_after_sat true
% 30.55/30.78 % --bmc1_ucm_expand_neg_assumptions false
% 30.55/30.78 % --bmc1_ucm_layered_model none
% 30.55/30.78 % --bmc1_ucm_max_lemma_size 10
% 30.55/30.78
% 30.55/30.78 % ------ AIG Options
% 30.55/30.78
% 30.55/30.78 % --aig_mode false
% 30.55/30.78
% 30.55/30.78 % ------ Instantiation Options
% 30.55/30.78
% 30.55/30.78 % --instantiation_flag true
% 30.55/30.78 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 30.55/30.78 % --inst_solver_per_active 750
% 30.55/30.78 % --inst_solver_calls_frac 0.5
% 30.55/30.78 % --inst_passive_queue_type priority_queues
% 30.55/30.78 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 30.55/30.78 % --inst_passive_queues_freq [25;2]
% 30.55/30.78 % --inst_dismatching true
% 30.55/30.78 % --inst_eager_unprocessed_to_passive true
% 30.55/30.78 % --inst_prop_sim_given true
% 30.55/30.78 % --inst_prop_sim_new false
% 30.55/30.78 % --inst_orphan_elimination true
% 30.55/30.78 % --inst_learning_loop_flag true
% 30.55/30.78 % --inst_learning_start 3000
% 30.55/30.78 % --inst_learning_factor 2
% 30.55/30.78 % --inst_start_prop_sim_after_learn 3
% 30.55/30.78 % --inst_sel_renew solver
% 30.55/30.78 % --inst_lit_activity_flag true
% 30.55/30.78 % --inst_out_proof true
% 30.55/30.78
% 30.55/30.78 % ------ Resolution Options
% 30.55/30.78
% 30.55/30.78 % --resolution_flag true
% 30.55/30.78 % --res_lit_sel kbo_max
% 30.55/30.78 % --res_to_prop_solver none
% 30.55/30.78 % --res_prop_simpl_new false
% 30.55/30.78 % --res_prop_simpl_given false
% 30.55/30.78 % --res_passive_queue_type priority_queues
% 30.55/30.78 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 30.55/30.78 % --res_passive_queues_freq [15;5]
% 30.55/30.78 % --res_forward_subs full
% 30.55/30.78 % --res_backward_subs full
% 30.55/30.78 % --res_forward_subs_resolution true
% 30.55/30.78 % --res_backward_subs_resolution true
% 30.55/30.78 % --res_orphan_elimination false
% 30.55/30.78 % --res_time_limit 1000.
% 30.55/30.78 % --res_out_proof true
% 30.55/30.78 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_0cc9e8.s
% 30.55/30.78 % --modulo true
% 30.55/30.78
% 30.55/30.78 % ------ Combination Options
% 30.55/30.78
% 30.55/30.78 % --comb_res_mult 1000
% 30.55/30.78 % --comb_inst_mult 300
% 30.55/30.78 % ------
% 30.55/30.78
% 30.55/30.78
% 30.55/30.78
% 30.55/30.78 % ------ Proving...
% 30.55/30.78 % warning: shown sat in sat incomplete mode
% 30.55/30.78 %
% 30.55/30.78
% 30.55/30.78
% 30.55/30.78
% 30.55/30.78
% 30.55/30.78 cnf(c_314,plain,
% 30.55/30.78 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 30.55/30.78 | ~ ordered_ring(X0)
% 30.55/30.78 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3)),X5)) ),
% 30.55/30.78 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_595_2) ).
% 30.55/30.78
% 30.55/30.78 cnf(c_1399,plain,
% 30.55/30.78 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 30.55/30.78 | ~ ordered_ring(X0)
% 30.55/30.78 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3)),X5)) ),
% 30.55/30.78 inference(copy,[status(esa)],[c_314]) ).
% 30.55/30.78
% 30.55/30.78 cnf(c_1400,plain,
% 30.55/30.78 ( ~ ordered_ring(X0)
% 30.55/30.78 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4)),X5))
% 30.55/30.78 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5))) ),
% 30.55/30.78 inference(rewriting,[status(thm)],[c_1399]) ).
% 30.55/30.78
% 30.55/30.78 cnf(c_311,plain,
% 30.55/30.78 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4)),X5))
% 30.55/30.78 | ~ ordered_ring(X0)
% 30.55/30.78 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5))) ),
% 30.55/30.78 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_596_2) ).
% 30.55/30.78
% 30.55/30.78 cnf(c_1393,plain,
% 30.55/30.78 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4)),X5))
% 30.55/30.79 | ~ ordered_ring(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5))) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_311]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1394,plain,
% 30.55/30.79 ( ~ ordered_ring(X0)
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4)),X5))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5))) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1393]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_308,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 30.55/30.79 | ~ ordered_ring(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5))) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_597_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1387,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 30.55/30.79 | ~ ordered_ring(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5))) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_308]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1388,plain,
% 30.55/30.79 ( ~ ordered_ring(X0)
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5))) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1387]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_305,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)))
% 30.55/30.79 | ~ ordered_ring(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5))) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_598_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1381,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)))
% 30.55/30.79 | ~ ordered_ring(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5))) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_305]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1382,plain,
% 30.55/30.79 ( ~ ordered_ring(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5))) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1381]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_298,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3) != ti(X0,X5) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_603_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1367,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X2)),X3) != ti(X0,X5) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_298]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1368,plain,
% 30.55/30.79 ( ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) != ti(X0,X5)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1367]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_295,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | ti(X0,X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_604_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1361,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)),X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | ti(X0,X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X4),X1)),X2)),X5) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_295]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1362,plain,
% 30.55/30.79 ( ~ ring(X0)
% 30.55/30.79 | ti(X0,X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1361]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_292,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) = ti(X0,X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_605_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1355,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) = ti(X0,X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_292]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1356,plain,
% 30.55/30.79 ( ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X3)),X4) = ti(X0,X5)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)),X5) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1355]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_289,plain,
% 30.55/30.79 ( ti(X0,X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_606_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1349,plain,
% 30.55/30.79 ( ti(X0,X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)
% 30.55/30.79 | ~ ring(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_289]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1350,plain,
% 30.55/30.79 ( ~ ring(X0)
% 30.55/30.79 | ti(X0,X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)),X4)),X5)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)),X5) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1349]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_270,plain,
% 30.55/30.79 ( hBOOL(hAPP(fun(X0,X1),bool,hAPP(fun(X0,X1),fun(fun(X0,X1),bool),ord_less_eq(fun(X0,X1)),X2),X3))
% 30.55/30.79 | ~ ord(X1)
% 30.55/30.79 | ~ hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X0,X1,X2,sk1_esk50_4(X0,X1,X2,X3))),hAPP(X0,X1,X3,sk1_esk50_4(X0,X1,X2,X3)))) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_613_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1311,plain,
% 30.55/30.79 ( hBOOL(hAPP(fun(X0,X1),bool,hAPP(fun(X0,X1),fun(fun(X0,X1),bool),ord_less_eq(fun(X0,X1)),X2),X3))
% 30.55/30.79 | ~ ord(X1)
% 30.55/30.79 | ~ hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X0,X1,X2,sk1_esk50_4(X0,X1,X2,X3))),hAPP(X0,X1,X3,sk1_esk50_4(X0,X1,X2,X3)))) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_270]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1312,plain,
% 30.55/30.79 ( ~ ord(X0)
% 30.55/30.79 | hBOOL(hAPP(fun(X1,X0),bool,hAPP(fun(X1,X0),fun(fun(X1,X0),bool),ord_less_eq(fun(X1,X0)),X2),X3))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X1,X0,X2,sk1_esk50_4(X1,X0,X2,X3))),hAPP(X1,X0,X3,sk1_esk50_4(X1,X0,X2,X3)))) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1311]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_265,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) = ti(X0,X3)
% 30.55/30.79 | ti(X0,X2) = ti(X0,X4) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_615_0) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1301,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) = ti(X0,X3)
% 30.55/30.79 | ti(X0,X2) = ti(X0,X4) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_265]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1302,plain,
% 30.55/30.79 ( ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) = ti(X0,X2)
% 30.55/30.79 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1301]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_262,plain,
% 30.55/30.79 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.79 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X1)) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_615_3) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1295,plain,
% 30.55/30.79 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.79 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X1)) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_262]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1296,plain,
% 30.55/30.79 ( ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) = ti(X0,X2)
% 30.55/30.79 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X1)) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1295]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_260,plain,
% 30.55/30.79 ( ~ ordere779506340up_add(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4)))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_616_1) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1291,plain,
% 30.55/30.79 ( ~ ordere779506340up_add(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4)))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_260]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1292,plain,
% 30.55/30.79 ( ~ ordere779506340up_add(X0)
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1291]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_253,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.79 | ~ ordere236663937imp_le(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_618_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1277,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.79 | ~ ordere236663937imp_le(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_253]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1278,plain,
% 30.55/30.79 ( ~ ordere236663937imp_le(X0)
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1277]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_250,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 30.55/30.79 | ~ ordere236663937imp_le(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3)) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_619_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1271,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 30.55/30.79 | ~ ordere236663937imp_le(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3)) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_250]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1272,plain,
% 30.55/30.79 ( ~ ordere236663937imp_le(X0)
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3)) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1271]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_227,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) != ti(X0,X3) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_628_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1225,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) != ti(X0,X3) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_227]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1226,plain,
% 30.55/30.79 ( ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) != ti(X0,X2)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1225]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_224,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X2) != ti(X0,X4) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_629_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1219,plain,
% 30.55/30.79 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X4)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2))
% 30.55/30.79 | ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X2) != ti(X0,X4) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_224]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1220,plain,
% 30.55/30.79 ( ~ semiri456707255roduct(X0)
% 30.55/30.79 | ti(X0,X1) != ti(X0,X2)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X1)) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1219]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_183,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X1,X0,X2,X3)),hAPP(X1,X0,X4,X3)))
% 30.55/30.79 | ~ ord(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(fun(X1,X0),bool,hAPP(fun(X1,X0),fun(fun(X1,X0),bool),ord_less_eq(fun(X1,X0)),X2),X4)) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_651_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1137,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X1,X0,X2,X3)),hAPP(X1,X0,X4,X3)))
% 30.55/30.79 | ~ ord(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(fun(X1,X0),bool,hAPP(fun(X1,X0),fun(fun(X1,X0),bool),ord_less_eq(fun(X1,X0)),X2),X4)) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_183]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1138,plain,
% 30.55/30.79 ( ~ ord(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(fun(X1,X0),bool,hAPP(fun(X1,X0),fun(fun(X1,X0),bool),ord_less_eq(fun(X1,X0)),X2),X3))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X1,X0,X2,X4)),hAPP(X1,X0,X3,X4))) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1137]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_178,plain,
% 30.55/30.79 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.79 | ~ ordered_ab_group_add(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_656_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1127,plain,
% 30.55/30.79 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.79 | ~ ordered_ab_group_add(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_178]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1128,plain,
% 30.55/30.79 ( ~ ordered_ab_group_add(X0)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1127]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_177,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | ~ ordered_ab_group_add(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_656_3) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1125,plain,
% 30.55/30.79 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | ~ ordered_ab_group_add(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_177]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1126,plain,
% 30.55/30.79 ( ~ ordered_ab_group_add(X0)
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.79 inference(rewriting,[status(thm)],[c_1125]) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_174,plain,
% 30.55/30.79 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.79 | ~ ordered_ab_group_add(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.79 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_657_2) ).
% 30.55/30.79
% 30.55/30.79 cnf(c_1119,plain,
% 30.55/30.79 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.79 | ~ ordered_ab_group_add(X0)
% 30.55/30.79 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.79 inference(copy,[status(esa)],[c_174]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1120,plain,
% 30.55/30.80 ( ~ ordered_ab_group_add(X0)
% 30.55/30.80 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.80 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1119]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_173,plain,
% 30.55/30.80 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.80 | ~ ordered_ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 30.55/30.80 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_657_3) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1117,plain,
% 30.55/30.80 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.80 | ~ ordered_ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 30.55/30.80 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_173]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1118,plain,
% 30.55/30.80 ( ~ ordered_ab_group_add(X0)
% 30.55/30.80 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.80 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X3),X4))
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1117]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_147,plain,
% 30.55/30.80 ( X0 = X1
% 30.55/30.80 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0))
% 30.55/30.80 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1)) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_672_2) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1065,plain,
% 30.55/30.80 ( X0 = X1
% 30.55/30.80 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0))
% 30.55/30.80 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1)) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_147]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1066,plain,
% 30.55/30.80 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.80 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0))
% 30.55/30.80 | X1 = X0 ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1065]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_117,plain,
% 30.55/30.80 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_689_2) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1005,plain,
% 30.55/30.80 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_117]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1006,plain,
% 30.55/30.80 ( ~ ab_group_add(X0)
% 30.55/30.80 | ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1005]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_116,plain,
% 30.55/30.80 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X4) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_689_3) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1003,plain,
% 30.55/30.80 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X4) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_116]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1004,plain,
% 30.55/30.80 ( ~ ab_group_add(X0)
% 30.55/30.80 | ti(X0,X1) = ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X4)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1003]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_113,plain,
% 30.55/30.80 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_690_2) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_997,plain,
% 30.55/30.80 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_113]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_998,plain,
% 30.55/30.80 ( ~ ab_group_add(X0)
% 30.55/30.80 | ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) = ti(X0,X4)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_997]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_112,plain,
% 30.55/30.80 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X4) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_690_3) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_995,plain,
% 30.55/30.80 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.80 | ~ ab_group_add(X0)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X4) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_112]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_996,plain,
% 30.55/30.80 ( ~ ab_group_add(X0)
% 30.55/30.80 | ti(X0,X1) = ti(X0,X2)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X4)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_995]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_92,plain,
% 30.55/30.80 ( hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X2),X3) = hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X4),X5)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X5)
% 30.55/30.80 | ti(X1,X2) != ti(X1,X4) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_697_2) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_955,plain,
% 30.55/30.80 ( hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X2),X3) = hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X4),X5)
% 30.55/30.80 | ti(X0,X3) != ti(X0,X5)
% 30.55/30.80 | ti(X1,X2) != ti(X1,X4) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_92]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_956,plain,
% 30.55/30.80 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | ti(X3,X4) != ti(X3,X5)
% 30.55/30.80 | hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X4),X1) = hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X5),X2) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_955]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_87,plain,
% 30.55/30.80 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 30.55/30.80 | ~ cancel_semigroup_add(X0)
% 30.55/30.80 | ti(X0,X2) != ti(X0,X3) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_699_2) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_945,plain,
% 30.55/30.80 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)
% 30.55/30.80 | ~ cancel_semigroup_add(X0)
% 30.55/30.80 | ti(X0,X2) != ti(X0,X3) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_87]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_946,plain,
% 30.55/30.80 ( ~ cancel_semigroup_add(X0)
% 30.55/30.80 | ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_945]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_84,plain,
% 30.55/30.80 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 30.55/30.80 | ~ cancel_semigroup_add(X0)
% 30.55/30.80 | ti(X0,X1) != ti(X0,X3) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_700_2) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_939,plain,
% 30.55/30.80 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 30.55/30.80 | ~ cancel_semigroup_add(X0)
% 30.55/30.80 | ti(X0,X1) != ti(X0,X3) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_84]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_940,plain,
% 30.55/30.80 ( ~ cancel_semigroup_add(X0)
% 30.55/30.80 | ti(X0,X1) != ti(X0,X2)
% 30.55/30.80 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_939]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_328,plain,
% 30.55/30.80 ( ti(int,a) = a ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_29) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_444,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_328]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_455,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_444]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_456,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_455]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_466,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_456]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1425,plain,( ti(int,a) = a ),inference(copy,[status(esa)],[c_466]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_327,plain,
% 30.55/30.80 ( ti(int,b) = b ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_28) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_442,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_327]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_454,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_442]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_457,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_454]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_465,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_457]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1423,plain,( ti(int,b) = b ),inference(copy,[status(esa)],[c_465]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_326,plain,
% 30.55/30.80 ( ti(int,p) = p ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_27) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_440,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_326]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_453,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_440]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_458,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_453]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_464,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_458]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1421,plain,( ti(int,p) = p ),inference(copy,[status(esa)],[c_464]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_325,plain,
% 30.55/30.80 ( ti(int,q) = q ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_26) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_438,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_325]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_452,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_438]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_459,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_452]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_463,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_459]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1419,plain,( ti(int,q) = q ),inference(copy,[status(esa)],[c_463]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_324,plain,
% 30.55/30.80 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_25) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_436,plain,
% 30.55/30.80 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 30.55/30.80 inference(copy,[status(esa)],[c_324]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_451,plain,
% 30.55/30.80 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 30.55/30.80 inference(copy,[status(esa)],[c_436]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_460,plain,
% 30.55/30.80 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 30.55/30.80 inference(copy,[status(esa)],[c_451]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_462,plain,
% 30.55/30.80 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 30.55/30.80 inference(copy,[status(esa)],[c_460]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1417,plain,
% 30.55/30.80 ( ti(fun(product_prod(int,int),int),twoSqu930276342sum2sq) = twoSqu930276342sum2sq ),
% 30.55/30.80 inference(copy,[status(esa)],[c_462]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_323,negated_conjecture,
% 30.55/30.80 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_24) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_446,negated_conjecture,
% 30.55/30.80 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_323]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_450,negated_conjecture,
% 30.55/30.80 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_446]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_461,negated_conjecture,
% 30.55/30.80 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_450]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_467,negated_conjecture,
% 30.55/30.80 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_461]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1427,negated_conjecture,
% 30.55/30.80 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),p)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),q))),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),a),q)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),b),p)))) != hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),a),b))),hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),p),q))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_467]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_321,plain,
% 30.55/30.80 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,X7))
% 30.55/30.80 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),sk1_esk9_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),hAPP(X1,fun(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),product_Pair(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),sk1_esk10_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5))),hAPP(X2,fun(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_Pair(X2,product_prod(X3,product_prod(X4,X5))),sk1_esk11_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5)),hAPP(X3,fun(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5))),product_Pair(X3,product_prod(X4,X5)),sk1_esk12_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(X5,product_prod(X4,X5),hAPP(X4,fun(X5,product_prod(X4,X5)),product_Pair(X4,X5),sk1_esk13_8(X0,X1,X2,X3,X4,X5,X7,X6)),sk1_esk14_8(X0,X1,X2,X3,X4,X5,X7,X6)))))))) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_590_1) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1413,plain,
% 30.55/30.80 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,X7))
% 30.55/30.80 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),sk1_esk9_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),hAPP(X1,fun(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),product_Pair(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),sk1_esk10_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5))),hAPP(X2,fun(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_Pair(X2,product_prod(X3,product_prod(X4,X5))),sk1_esk11_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5)),hAPP(X3,fun(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5))),product_Pair(X3,product_prod(X4,X5)),sk1_esk12_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(X5,product_prod(X4,X5),hAPP(X4,fun(X5,product_prod(X4,X5)),product_Pair(X4,X5),sk1_esk13_8(X0,X1,X2,X3,X4,X5,X7,X6)),sk1_esk14_8(X0,X1,X2,X3,X4,X5,X7,X6)))))))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_321]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1414,plain,
% 30.55/30.80 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),sk1_esk9_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),hAPP(X1,fun(product_prod(X2,product_prod(X3,product_prod(X4,X5))),product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),product_Pair(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))),sk1_esk10_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5))),hAPP(X2,fun(product_prod(X3,product_prod(X4,X5)),product_prod(X2,product_prod(X3,product_prod(X4,X5)))),product_Pair(X2,product_prod(X3,product_prod(X4,X5))),sk1_esk11_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5)),hAPP(X3,fun(product_prod(X4,X5),product_prod(X3,product_prod(X4,X5))),product_Pair(X3,product_prod(X4,X5)),sk1_esk12_8(X0,X1,X2,X3,X4,X5,X7,X6)),hAPP(X5,product_prod(X4,X5),hAPP(X4,fun(X5,product_prod(X4,X5)),product_Pair(X4,X5),sk1_esk13_8(X0,X1,X2,X3,X4,X5,X7,X6)),sk1_esk14_8(X0,X1,X2,X3,X4,X5,X7,X6))))))))
% 30.55/30.80 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))),bool,X6,X7)) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1413]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_319,plain,
% 30.55/30.80 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,X6))
% 30.55/30.80 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),sk1_esk26_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4))),hAPP(X1,fun(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4)))),product_Pair(X1,product_prod(X2,product_prod(X3,X4))),sk1_esk27_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4)),hAPP(X2,fun(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4))),product_Pair(X2,product_prod(X3,X4)),sk1_esk28_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(X4,product_prod(X3,X4),hAPP(X3,fun(X4,product_prod(X3,X4)),product_Pair(X3,X4),sk1_esk29_7(X0,X1,X2,X3,X4,X6,X5)),sk1_esk30_7(X0,X1,X2,X3,X4,X6,X5))))))) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_591_1) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1409,plain,
% 30.55/30.80 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,X6))
% 30.55/30.80 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),sk1_esk26_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4))),hAPP(X1,fun(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4)))),product_Pair(X1,product_prod(X2,product_prod(X3,X4))),sk1_esk27_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4)),hAPP(X2,fun(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4))),product_Pair(X2,product_prod(X3,X4)),sk1_esk28_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(X4,product_prod(X3,X4),hAPP(X3,fun(X4,product_prod(X3,X4)),product_Pair(X3,X4),sk1_esk29_7(X0,X1,X2,X3,X4,X6,X5)),sk1_esk30_7(X0,X1,X2,X3,X4,X6,X5))))))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_319]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1410,plain,
% 30.55/30.80 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,hAPP(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),hAPP(X0,fun(product_prod(X1,product_prod(X2,product_prod(X3,X4))),product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))),product_Pair(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),sk1_esk26_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4))),hAPP(X1,fun(product_prod(X2,product_prod(X3,X4)),product_prod(X1,product_prod(X2,product_prod(X3,X4)))),product_Pair(X1,product_prod(X2,product_prod(X3,X4))),sk1_esk27_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4)),hAPP(X2,fun(product_prod(X3,X4),product_prod(X2,product_prod(X3,X4))),product_Pair(X2,product_prod(X3,X4)),sk1_esk28_7(X0,X1,X2,X3,X4,X6,X5)),hAPP(X4,product_prod(X3,X4),hAPP(X3,fun(X4,product_prod(X3,X4)),product_Pair(X3,X4),sk1_esk29_7(X0,X1,X2,X3,X4,X6,X5)),sk1_esk30_7(X0,X1,X2,X3,X4,X6,X5)))))))
% 30.55/30.80 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))),bool,X5,X6)) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1409]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_317,plain,
% 30.55/30.80 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,X5))
% 30.55/30.80 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,hAPP(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3))),hAPP(X0,fun(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3)))),product_Pair(X0,product_prod(X1,product_prod(X2,X3))),sk1_esk35_6(X0,X1,X2,X3,X5,X4)),hAPP(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3)),hAPP(X1,fun(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3))),product_Pair(X1,product_prod(X2,X3)),sk1_esk36_6(X0,X1,X2,X3,X5,X4)),hAPP(X3,product_prod(X2,X3),hAPP(X2,fun(X3,product_prod(X2,X3)),product_Pair(X2,X3),sk1_esk37_6(X0,X1,X2,X3,X5,X4)),sk1_esk38_6(X0,X1,X2,X3,X5,X4)))))) ),
% 30.55/30.80 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_593_1) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1405,plain,
% 30.55/30.80 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,X5))
% 30.55/30.80 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,hAPP(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3))),hAPP(X0,fun(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3)))),product_Pair(X0,product_prod(X1,product_prod(X2,X3))),sk1_esk35_6(X0,X1,X2,X3,X5,X4)),hAPP(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3)),hAPP(X1,fun(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3))),product_Pair(X1,product_prod(X2,X3)),sk1_esk36_6(X0,X1,X2,X3,X5,X4)),hAPP(X3,product_prod(X2,X3),hAPP(X2,fun(X3,product_prod(X2,X3)),product_Pair(X2,X3),sk1_esk37_6(X0,X1,X2,X3,X5,X4)),sk1_esk38_6(X0,X1,X2,X3,X5,X4)))))) ),
% 30.55/30.80 inference(copy,[status(esa)],[c_317]) ).
% 30.55/30.80
% 30.55/30.80 cnf(c_1406,plain,
% 30.55/30.80 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,hAPP(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3))),hAPP(X0,fun(product_prod(X1,product_prod(X2,X3)),product_prod(X0,product_prod(X1,product_prod(X2,X3)))),product_Pair(X0,product_prod(X1,product_prod(X2,X3))),sk1_esk35_6(X0,X1,X2,X3,X5,X4)),hAPP(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3)),hAPP(X1,fun(product_prod(X2,X3),product_prod(X1,product_prod(X2,X3))),product_Pair(X1,product_prod(X2,X3)),sk1_esk36_6(X0,X1,X2,X3,X5,X4)),hAPP(X3,product_prod(X2,X3),hAPP(X2,fun(X3,product_prod(X2,X3)),product_Pair(X2,X3),sk1_esk37_6(X0,X1,X2,X3,X5,X4)),sk1_esk38_6(X0,X1,X2,X3,X5,X4))))))
% 30.55/30.80 | hBOOL(hAPP(product_prod(X0,product_prod(X1,product_prod(X2,X3))),bool,X4,X5)) ),
% 30.55/30.80 inference(rewriting,[status(thm)],[c_1405]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_303,plain,
% 30.55/30.81 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,X4))
% 30.55/30.81 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,hAPP(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2)),hAPP(X0,fun(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2))),product_Pair(X0,product_prod(X1,X2)),sk1_esk39_5(X0,X1,X2,X4,X3)),hAPP(X2,product_prod(X1,X2),hAPP(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),sk1_esk40_5(X0,X1,X2,X4,X3)),sk1_esk41_5(X0,X1,X2,X4,X3))))) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_599_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1377,plain,
% 30.55/30.81 ( hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,X4))
% 30.55/30.81 | ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,hAPP(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2)),hAPP(X0,fun(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2))),product_Pair(X0,product_prod(X1,X2)),sk1_esk39_5(X0,X1,X2,X4,X3)),hAPP(X2,product_prod(X1,X2),hAPP(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),sk1_esk40_5(X0,X1,X2,X4,X3)),sk1_esk41_5(X0,X1,X2,X4,X3))))) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_303]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1378,plain,
% 30.55/30.81 ( ~ hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,hAPP(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2)),hAPP(X0,fun(product_prod(X1,X2),product_prod(X0,product_prod(X1,X2))),product_Pair(X0,product_prod(X1,X2)),sk1_esk39_5(X0,X1,X2,X4,X3)),hAPP(X2,product_prod(X1,X2),hAPP(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),sk1_esk40_5(X0,X1,X2,X4,X3)),sk1_esk41_5(X0,X1,X2,X4,X3)))))
% 30.55/30.81 | hBOOL(hAPP(product_prod(X0,product_prod(X1,X2)),bool,X3,X4)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1377]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_301,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 30.55/30.81 | ~ real_normed_algebra(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_600_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1373,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 30.55/30.81 | ~ real_normed_algebra(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_301]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1374,plain,
% 30.55/30.81 ( ~ real_normed_algebra(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X4))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X3),X4))) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1373]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_287,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)),X4)
% 30.55/30.81 | ~ semiring(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_607_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1345,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)),X4)
% 30.55/30.81 | ~ semiring(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_287]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1346,plain,
% 30.55/30.81 ( ~ semiring(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)),X4) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1345]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_285,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X3))
% 30.55/30.81 | ~ ring(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_608_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1341,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X3))
% 30.55/30.81 | ~ ring(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_285]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1342,plain,
% 30.55/30.81 ( ~ ring(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X4)),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X4),X3)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1341]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_276,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)))
% 30.55/30.81 | ~ ordere236663937imp_le(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_611_2) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1323,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)))
% 30.55/30.81 | ~ ordere236663937imp_le(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_276]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1324,plain,
% 30.55/30.81 ( ~ ordere236663937imp_le(X0)
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.81 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1323]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_273,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.81 | ~ ordere236663937imp_le(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_612_2) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1317,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.81 | ~ ordere236663937imp_le(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_273]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1318,plain,
% 30.55/30.81 ( ~ ordere236663937imp_le(X0)
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 30.55/30.81 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1317]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_258,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 30.55/30.81 | ~ ordere779506340up_add(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_616_3) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1287,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 30.55/30.81 | ~ ordere779506340up_add(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_258]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1288,plain,
% 30.55/30.81 ( ~ ordere779506340up_add(X0)
% 30.55/30.81 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1287]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_256,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X4))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_617_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1283,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X4))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_256]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1284,plain,
% 30.55/30.81 ( ~ comm_semiring_1(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X4)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1283]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_247,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 30.55/30.81 | ~ ordere779506340up_add(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_620_2) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1265,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))
% 30.55/30.81 | ~ ordere779506340up_add(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_247]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1266,plain,
% 30.55/30.81 ( ~ ordere779506340up_add(X0)
% 30.55/30.81 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1265]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_244,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))
% 30.55/30.81 | ~ ordere779506340up_add(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_621_2) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1259,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))
% 30.55/30.81 | ~ ordere779506340up_add(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_244]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1260,plain,
% 30.55/30.81 ( ~ ordere779506340up_add(X0)
% 30.55/30.81 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)))
% 30.55/30.81 | ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X3)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1259]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_242,plain,
% 30.55/30.81 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)))
% 30.55/30.81 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_622_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1255,plain,
% 30.55/30.81 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)))
% 30.55/30.81 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_242]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_238,plain,
% 30.55/30.81 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 30.55/30.81 | ~ hBOOL(hAPP(X1,bool,hAPP(X0,fun(X1,bool),hAPP(fun(product_prod(X0,X1),bool),fun(X0,fun(X1,bool)),product_curry(X0,X1,bool),X2),X3),X4)) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_624_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1247,plain,
% 30.55/30.81 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 30.55/30.81 | ~ hBOOL(hAPP(X1,bool,hAPP(X0,fun(X1,bool),hAPP(fun(product_prod(X0,X1),bool),fun(X0,fun(X1,bool)),product_curry(X0,X1,bool),X2),X3),X4)) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_238]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_236,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X1,fun(X0,bool),hAPP(fun(product_prod(X1,X0),bool),fun(X1,fun(X0,bool)),product_curry(X1,X0,bool),X2),X3),X4))
% 30.55/30.81 | ~ hBOOL(hAPP(product_prod(X1,X0),bool,X2,hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X3),X4))) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_625_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1243,plain,
% 30.55/30.81 ( hBOOL(hAPP(X0,bool,hAPP(X1,fun(X0,bool),hAPP(fun(product_prod(X1,X0),bool),fun(X1,fun(X0,bool)),product_curry(X1,X0,bool),X2),X3),X4))
% 30.55/30.81 | ~ hBOOL(hAPP(product_prod(X1,X0),bool,X2,hAPP(X0,product_prod(X1,X0),hAPP(X1,fun(X0,product_prod(X1,X0)),product_Pair(X1,X0),X3),X4))) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_236]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1244,plain,
% 30.55/30.81 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 30.55/30.81 | hBOOL(hAPP(X1,bool,hAPP(X0,fun(X1,bool),hAPP(fun(product_prod(X0,X1),bool),fun(X0,fun(X1,bool)),product_curry(X0,X1,bool),X2),X3),X4)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1243]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_222,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_630_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1215,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_222]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1216,plain,
% 30.55/30.81 ( ~ comm_semiring_1(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X4)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1215]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_220,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_631_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1211,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_220]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1212,plain,
% 30.55/30.81 ( ~ comm_semiring_1(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X4)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1211]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_218,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_632_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1207,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)))
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_218]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1208,plain,
% 30.55/30.81 ( ~ comm_semiring_1(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X4))) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1207]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_216,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X4))
% 30.55/30.81 | ~ ab_group_add(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_633_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1203,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X4))
% 30.55/30.81 | ~ ab_group_add(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_216]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1204,plain,
% 30.55/30.81 ( ~ ab_group_add(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X4)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X4)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1203]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_212,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_635_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1195,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_212]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1196,plain,
% 30.55/30.81 ( ~ comm_semiring_1(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1195]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_208,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ real_normed_algebra(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_637_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1187,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ real_normed_algebra(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_208]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1188,plain,
% 30.55/30.81 ( ~ real_normed_algebra(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X3)),X2) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1187]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_206,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_638_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1183,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_206]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1184,plain,
% 30.55/30.81 ( ~ comm_semiring(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1183]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_202,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ real_normed_algebra(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_640_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1175,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ real_normed_algebra(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_202]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1176,plain,
% 30.55/30.81 ( ~ real_normed_algebra(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X3),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1175]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_200,plain,
% 30.55/30.81 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3))
% 30.55/30.81 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk1_esk4_3(X0,X1,X2)),sk1_esk5_3(X0,X1,X2)))) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_641_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1171,plain,
% 30.55/30.81 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3))
% 30.55/30.81 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk1_esk4_3(X0,X1,X2)),sk1_esk5_3(X0,X1,X2)))) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_200]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1172,plain,
% 30.55/30.81 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk1_esk4_3(X0,X1,X2)),sk1_esk5_3(X0,X1,X2))))
% 30.55/30.81 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3)) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1171]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_198,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_644_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1167,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_198]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1168,plain,
% 30.55/30.81 ( ~ comm_semiring_1(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)),X2) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1167]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_196,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_645_1) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1163,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)
% 30.55/30.81 | ~ comm_semiring_1(X0) ),
% 30.55/30.81 inference(copy,[status(esa)],[c_196]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_1164,plain,
% 30.55/30.81 ( ~ comm_semiring_1(X0)
% 30.55/30.81 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)),X2) ),
% 30.55/30.81 inference(rewriting,[status(thm)],[c_1163]) ).
% 30.55/30.81
% 30.55/30.81 cnf(c_194,plain,
% 30.55/30.81 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_646_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1159,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_194]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1160,plain,
% 30.55/30.82 ( ~ comm_semiring_1(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1159]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_190,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))
% 30.55/30.82 | ~ real_normed_algebra(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_648_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1151,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3))
% 30.55/30.82 | ~ real_normed_algebra(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_190]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1152,plain,
% 30.55/30.82 ( ~ real_normed_algebra(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X2),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1151]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_186,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ real_normed_algebra(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_650_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1143,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ real_normed_algebra(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_186]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1144,plain,
% 30.55/30.82 ( ~ real_normed_algebra(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1143]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_181,plain,
% 30.55/30.82 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk1_esk8_3(X0,X1,X2)))
% 30.55/30.82 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4))) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_654_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1133,plain,
% 30.55/30.82 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk1_esk8_3(X0,X1,X2)))
% 30.55/30.82 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4))) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_181]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1134,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 30.55/30.82 | hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk1_esk8_3(X0,X1,X2))) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1133]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_171,plain,
% 30.55/30.82 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk1_esk6_3(X0,X1,X2)),sk1_esk7_3(X0,X1,X2))))
% 30.55/30.82 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_658_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1113,plain,
% 30.55/30.82 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),sk1_esk6_3(X0,X1,X2)),sk1_esk7_3(X0,X1,X2))))
% 30.55/30.82 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,X3)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_171]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_170,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))
% 30.55/30.82 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X2)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_659_0) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1111,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))
% 30.55/30.82 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X2)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_170]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_169,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X2))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_659_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1109,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X2))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_169]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_168,plain,
% 30.55/30.82 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X2)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_659_2) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1107,plain,
% 30.55/30.82 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X2)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_168]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_164,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_661_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1099,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_164]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1100,plain,
% 30.55/30.82 ( ~ comm_semiring_1(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1099]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_160,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_663_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1091,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_160]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1092,plain,
% 30.55/30.82 ( ~ comm_semiring_1(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1091]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_158,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ ab_semigroup_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_664_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1087,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3))
% 30.55/30.82 | ~ ab_semigroup_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_158]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1088,plain,
% 30.55/30.82 ( ~ ab_semigroup_add(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1087]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_156,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 30.55/30.82 | ~ ab_semigroup_mult(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_665_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1083,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3))
% 30.55/30.82 | ~ ab_semigroup_mult(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_156]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1084,plain,
% 30.55/30.82 ( ~ ab_semigroup_mult(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)),X3) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1083]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_154,plain,
% 30.55/30.82 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 30.55/30.82 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk1_esk3_3(X0,X1,X2))) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_668_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1079,plain,
% 30.55/30.82 ( hBOOL(hAPP(product_prod(X0,X1),bool,X2,hAPP(X1,product_prod(X0,X1),hAPP(X0,fun(X1,product_prod(X0,X1)),product_Pair(X0,X1),X3),X4)))
% 30.55/30.82 | ~ hBOOL(hAPP(product_prod(X0,X1),bool,X2,sk1_esk3_3(X0,X1,X2))) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_154]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_150,plain,
% 30.55/30.82 ( hAPP(X0,X1,hAPP(fun(X0,X1),fun(X0,X1),hAPP(fun(X0,X1),fun(fun(X0,X1),fun(X0,X1)),minus_minus(fun(X0,X1)),X2),X3),X4) = hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X0,X1,X2,X4)),hAPP(X0,X1,X3,X4))
% 30.55/30.82 | ~ minus(X1) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_671_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1071,plain,
% 30.55/30.82 ( hAPP(X0,X1,hAPP(fun(X0,X1),fun(X0,X1),hAPP(fun(X0,X1),fun(fun(X0,X1),fun(X0,X1)),minus_minus(fun(X0,X1)),X2),X3),X4) = hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X0,X1,X2,X4)),hAPP(X0,X1,X3,X4))
% 30.55/30.82 | ~ minus(X1) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_150]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1072,plain,
% 30.55/30.82 ( ~ minus(X0)
% 30.55/30.82 | hAPP(X1,X0,hAPP(fun(X1,X0),fun(X1,X0),hAPP(fun(X1,X0),fun(fun(X1,X0),fun(X1,X0)),minus_minus(fun(X1,X0)),X2),X3),X4) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X1,X0,X2,X4)),hAPP(X1,X0,X3,X4)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1071]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_148,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | X0 = X1
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_672_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1067,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | X0 = X1
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_148]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1068,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0))
% 30.55/30.82 | X0 = X1 ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1067]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_145,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_673_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1061,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_145]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1062,plain,
% 30.55/30.82 ( ~ comm_semiring_1(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1061]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_143,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_674_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1057,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3))
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_143]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1058,plain,
% 30.55/30.82 ( ~ comm_semiring_1(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X3)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X3)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1057]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_141,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X2) = ti(X0,X1)
% 30.55/30.82 | ~ group_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_676_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1053,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X2) = ti(X0,X1)
% 30.55/30.82 | ~ group_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_141]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1054,plain,
% 30.55/30.82 ( ~ group_add(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X2) = ti(X0,X1) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1053]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_139,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X2) = ti(X0,X1)
% 30.55/30.82 | ~ group_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_677_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1049,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X2) = ti(X0,X1)
% 30.55/30.82 | ~ group_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_139]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1050,plain,
% 30.55/30.82 ( ~ group_add(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),hAPP(X0,X0,hAPP(X0,fun(X0,X0),minus_minus(X0),X1),X2)),X2) = ti(X0,X1) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1049]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_137,plain,
% 30.55/30.82 ( hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0))
% 30.55/30.82 | hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),X1),X2)) != X0 ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_680_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1045,plain,
% 30.55/30.82 ( hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0))
% 30.55/30.82 | hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),X1),X2)) != X0 ),
% 30.55/30.82 inference(copy,[status(esa)],[c_137]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_135,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)
% 30.55/30.82 | ~ ab_sem1668676832m_mult(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_681_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1041,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)
% 30.55/30.82 | ~ ab_sem1668676832m_mult(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_135]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1042,plain,
% 30.55/30.82 ( ~ ab_sem1668676832m_mult(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1041]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_132,plain,
% 30.55/30.82 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.82 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))
% 30.55/30.82 | ~ linorder(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_682_2) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1035,plain,
% 30.55/30.82 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.82 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))
% 30.55/30.82 | ~ linorder(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_132]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1036,plain,
% 30.55/30.82 ( ~ linorder(X0)
% 30.55/30.82 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
% 30.55/30.82 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1035]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_130,plain,
% 30.55/30.82 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_683_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1031,plain,
% 30.55/30.82 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))
% 30.55/30.82 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X0)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_130]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_124,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) != hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_686_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1019,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) != hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_124]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_122,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X4),X1) != hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X5),X2) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_687_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1015,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X4),X1) != hAPP(X0,product_prod(X3,X0),hAPP(X3,fun(X0,product_prod(X3,X0)),product_Pair(X3,X0),X5),X2) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_122]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_120,plain,
% 30.55/30.82 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),sk1_esk1_1(X0)),sk1_esk2_1(X0))) = X0
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_688_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1011,plain,
% 30.55/30.82 ( hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),sk1_esk1_1(X0)),sk1_esk2_1(X0))) = X0
% 30.55/30.82 | ~ hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_120]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_1012,plain,
% 30.55/30.82 ( ~ hBOOL(hAPP(int,bool,twoSqu33214720sum2sq,X0))
% 30.55/30.82 | hAPP(product_prod(int,int),int,twoSqu930276342sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),sk1_esk1_1(X0)),sk1_esk2_1(X0))) = X0 ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_1011]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_103,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 30.55/30.82 | ~ cancel_semigroup_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_693_2) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_977,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 30.55/30.82 | ~ cancel_semigroup_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_103]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_978,plain,
% 30.55/30.82 ( ~ cancel_semigroup_add(X0)
% 30.55/30.82 | ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_977]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_100,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 30.55/30.82 | ~ cancel146912293up_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_694_2) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_971,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2)
% 30.55/30.82 | ~ cancel146912293up_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_100]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_972,plain,
% 30.55/30.82 ( ~ cancel146912293up_add(X0)
% 30.55/30.82 | ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X1) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X3),X2) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_971]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_97,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)
% 30.55/30.82 | ~ cancel_semigroup_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_695_2) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_965,plain,
% 30.55/30.82 ( ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3)
% 30.55/30.82 | ~ cancel_semigroup_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_97]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_966,plain,
% 30.55/30.82 ( ~ cancel_semigroup_add(X0)
% 30.55/30.82 | ti(X0,X1) = ti(X0,X2)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X3) != hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X3) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_965]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_95,plain,
% 30.55/30.82 ( ti(fun(X0,X1),X2) = ti(fun(X0,X1),X3)
% 30.55/30.82 | hAPP(X0,X1,X2,sk1_esk47_4(X0,X1,X2,X3)) != hAPP(X0,X1,X3,sk1_esk47_4(X0,X1,X2,X3)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_696_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_961,plain,
% 30.55/30.82 ( ti(fun(X0,X1),X2) = ti(fun(X0,X1),X3)
% 30.55/30.82 | hAPP(X0,X1,X2,sk1_esk47_4(X0,X1,X2,X3)) != hAPP(X0,X1,X3,sk1_esk47_4(X0,X1,X2,X3)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_95]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_93,plain,
% 30.55/30.82 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.82 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) = hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5)
% 30.55/30.82 | ti(X3,X4) != ti(X3,X5) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_697_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_957,plain,
% 30.55/30.82 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.82 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) = hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5)
% 30.55/30.82 | ti(X3,X4) != ti(X3,X5) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_93]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_958,plain,
% 30.55/30.82 ( ti(X0,X1) != ti(X0,X2)
% 30.55/30.82 | ti(X3,X4) != ti(X3,X5)
% 30.55/30.82 | hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X1),X4) = hAPP(X3,product_prod(X0,X3),hAPP(X0,fun(X3,product_prod(X0,X3)),product_Pair(X0,X3),X2),X5) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_957]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_90,plain,
% 30.55/30.82 ( X0 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)
% 30.55/30.82 | hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),X2) != X1 ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_698_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_951,plain,
% 30.55/30.82 ( X0 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)
% 30.55/30.82 | hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),X2) != X1 ),
% 30.55/30.82 inference(copy,[status(esa)],[c_90]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_952,plain,
% 30.55/30.82 ( hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),X1) != X2
% 30.55/30.82 | X0 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_951]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_82,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X1)
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_701_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_935,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X1)
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_82]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_936,plain,
% 30.55/30.82 ( ~ comm_semiring_1(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),plus_plus(X0),X2),X1) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_935]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_80,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X1)
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_702_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_931,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X1)
% 30.55/30.82 | ~ comm_semiring_1(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_80]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_932,plain,
% 30.55/30.82 ( ~ comm_semiring_1(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2) = hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X1) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_931]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_78,plain,
% 30.55/30.82 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X1))
% 30.55/30.82 | ~ preorder(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_703_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_927,plain,
% 30.55/30.82 ( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X1))
% 30.55/30.82 | ~ preorder(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_78]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_928,plain,
% 30.55/30.82 ( ~ preorder(X0)
% 30.55/30.82 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X1)) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_927]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_74,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X1) = ti(X0,X1)
% 30.55/30.82 | ~ ab_sem1668676832m_mult(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_710_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_919,plain,
% 30.55/30.82 ( hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X1) = ti(X0,X1)
% 30.55/30.82 | ~ ab_sem1668676832m_mult(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_74]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_920,plain,
% 30.55/30.82 ( ~ ab_sem1668676832m_mult(X0)
% 30.55/30.82 | hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X1) = ti(X0,X1) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_919]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_72,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 30.55/30.82 | ~ ab_semigroup_mult(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_718_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_915,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 30.55/30.82 | ~ ab_semigroup_mult(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_72]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_916,plain,
% 30.55/30.82 ( ~ ab_semigroup_mult(X0)
% 30.55/30.82 | ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_915]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_70,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 30.55/30.82 | ~ semiring(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_719_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_911,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0)
% 30.55/30.82 | ~ semiring(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_70]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_912,plain,
% 30.55/30.82 ( ~ semiring(X0)
% 30.55/30.82 | ti(fun(X0,fun(X0,X0)),times_times(X0)) = times_times(X0) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_911]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_68,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 30.55/30.82 | ~ cancel_semigroup_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_720_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_907,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 30.55/30.82 | ~ cancel_semigroup_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_68]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_908,plain,
% 30.55/30.82 ( ~ cancel_semigroup_add(X0)
% 30.55/30.82 | ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_907]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_66,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 30.55/30.82 | ~ ab_semigroup_add(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_721_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_903,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0)
% 30.55/30.82 | ~ ab_semigroup_add(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_66]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_904,plain,
% 30.55/30.82 ( ~ ab_semigroup_add(X0)
% 30.55/30.82 | ti(fun(X0,fun(X0,X0)),plus_plus(X0)) = plus_plus(X0) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_903]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_64,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),minus_minus(X0)) = minus_minus(X0)
% 30.55/30.82 | ~ minus(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_722_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_899,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,X0)),minus_minus(X0)) = minus_minus(X0)
% 30.55/30.82 | ~ minus(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_64]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_900,plain,
% 30.55/30.82 ( ~ minus(X0)
% 30.55/30.82 | ti(fun(X0,fun(X0,X0)),minus_minus(X0)) = minus_minus(X0) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_899]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_62,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,bool)),ord_less_eq(X0)) = ord_less_eq(X0)
% 30.55/30.82 | ~ ord(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_723_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_895,plain,
% 30.55/30.82 ( ti(fun(X0,fun(X0,bool)),ord_less_eq(X0)) = ord_less_eq(X0)
% 30.55/30.82 | ~ ord(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_62]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_896,plain,
% 30.55/30.82 ( ~ ord(X0)
% 30.55/30.82 | ti(fun(X0,fun(X0,bool)),ord_less_eq(X0)) = ord_less_eq(X0) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_895]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_60,plain,
% 30.55/30.82 ( hBOOL(X0) | ~ hBOOL(ti(bool,X0)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_725_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_891,plain,
% 30.55/30.82 ( hBOOL(X0) | ~ hBOOL(ti(bool,X0)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_60]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_892,plain,
% 30.55/30.82 ( ~ hBOOL(ti(bool,X0)) | hBOOL(X0) ),
% 30.55/30.82 inference(rewriting,[status(thm)],[c_891]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_58,plain,
% 30.55/30.82 ( minus(fun(X0,X1)) | ~ minus(X1) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_726_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_887,plain,
% 30.55/30.82 ( minus(fun(X0,X1)) | ~ minus(X1) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_58]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_56,plain,
% 30.55/30.82 ( ord(fun(X0,X1)) | ~ ord(X1) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_727_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_883,plain,
% 30.55/30.82 ( ord(fun(X0,X1)) | ~ ord(X1) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_56]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_54,plain,
% 30.55/30.82 ( preorder(fun(X0,X1)) | ~ preorder(X1) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_728_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_879,plain,
% 30.55/30.82 ( preorder(fun(X0,X1)) | ~ preorder(X1) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_54]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_52,plain,
% 30.55/30.82 ( hBOOL(ti(bool,X0)) | ~ hBOOL(X0) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_729_1) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_875,plain,
% 30.55/30.82 ( hBOOL(ti(bool,X0)) | ~ hBOOL(X0) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_52]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_39,plain,
% 30.55/30.82 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_675_0) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_861,plain,
% 30.55/30.82 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X2)) ),
% 30.55/30.82 inference(copy,[status(esa)],[c_39]) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_36,plain,
% 30.55/30.82 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X0)) ),
% 30.55/30.82 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_704_0) ).
% 30.55/30.82
% 30.55/30.82 cnf(c_857,plain,
% 30.55/30.83 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X0)) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_36]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_35,plain,
% 30.55/30.83 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X0) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_705_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_855,plain,
% 30.55/30.83 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X0) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_35]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_34,plain,
% 30.55/30.83 ( hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_706_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_853,plain,
% 30.55/30.83 ( hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_34]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_21,plain,
% 30.55/30.83 ( minus(bool) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_732_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_839,plain,( minus(bool) ),inference(copy,[status(esa)],[c_21]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_20,plain,
% 30.55/30.83 ( ord(bool) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_733_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_837,plain,( ord(bool) ),inference(copy,[status(esa)],[c_20]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_19,plain,
% 30.55/30.83 ( preorder(bool) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_734_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_835,plain,( preorder(bool) ),inference(copy,[status(esa)],[c_19]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_18,plain,
% 30.55/30.83 ( ring(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_735_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_833,plain,( ring(int) ),inference(copy,[status(esa)],[c_18]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_17,plain,
% 30.55/30.83 ( minus(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_736_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_831,plain,( minus(int) ),inference(copy,[status(esa)],[c_17]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_16,plain,
% 30.55/30.83 ( ord(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_737_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_829,plain,( ord(int) ),inference(copy,[status(esa)],[c_16]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_15,plain,
% 30.55/30.83 ( semiring(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_738_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_827,plain,( semiring(int) ),inference(copy,[status(esa)],[c_15]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_14,plain,
% 30.55/30.83 ( group_add(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_739_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_825,plain,( group_add(int) ),inference(copy,[status(esa)],[c_14]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_13,plain,
% 30.55/30.83 ( linorder(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_740_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_823,plain,( linorder(int) ),inference(copy,[status(esa)],[c_13]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_12,plain,
% 30.55/30.83 ( preorder(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_741_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_821,plain,( preorder(int) ),inference(copy,[status(esa)],[c_12]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_11,plain,
% 30.55/30.83 ( ordered_ring(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_742_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_819,plain,( ordered_ring(int) ),inference(copy,[status(esa)],[c_11]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_10,plain,
% 30.55/30.83 ( ab_group_add(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_743_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_817,plain,( ab_group_add(int) ),inference(copy,[status(esa)],[c_10]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_9,plain,
% 30.55/30.83 ( comm_semiring(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_744_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_815,plain,( comm_semiring(int) ),inference(copy,[status(esa)],[c_9]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_8,plain,
% 30.55/30.83 ( comm_semiring_1(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_745_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_813,plain,
% 30.55/30.83 ( comm_semiring_1(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_8]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_7,plain,
% 30.55/30.83 ( ab_semigroup_add(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_746_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_811,plain,
% 30.55/30.83 ( ab_semigroup_add(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_7]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_6,plain,
% 30.55/30.83 ( ab_semigroup_mult(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_747_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_809,plain,
% 30.55/30.83 ( ab_semigroup_mult(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_6]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_5,plain,
% 30.55/30.83 ( cancel_semigroup_add(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_748_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_807,plain,
% 30.55/30.83 ( cancel_semigroup_add(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_5]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_4,plain,
% 30.55/30.83 ( ordered_ab_group_add(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_749_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_805,plain,
% 30.55/30.83 ( ordered_ab_group_add(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_4]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_3,plain,
% 30.55/30.83 ( cancel146912293up_add(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_750_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_803,plain,
% 30.55/30.83 ( cancel146912293up_add(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_3]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_2,plain,
% 30.55/30.83 ( ordere779506340up_add(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_751_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_801,plain,
% 30.55/30.83 ( ordere779506340up_add(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_2]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_1,plain,
% 30.55/30.83 ( ordere236663937imp_le(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_752_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_799,plain,
% 30.55/30.83 ( ordere236663937imp_le(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_1]) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_0,plain,
% 30.55/30.83 ( semiri456707255roduct(int) ),
% 30.55/30.83 file('/export/starexec/sandbox/tmp/iprover_modulo_71cf60.p', c_0_753_0) ).
% 30.55/30.83
% 30.55/30.83 cnf(c_797,plain,
% 30.55/30.83 ( semiri456707255roduct(int) ),
% 30.55/30.83 inference(copy,[status(esa)],[c_0]) ).
% 30.55/30.83
% 30.55/30.83
% 30.55/30.83
% 30.55/30.83 % ------ Statistics
% 30.55/30.83
% 30.55/30.83 % ------ General
% 30.55/30.83
% 30.55/30.83 % num_of_input_clauses: 329
% 30.55/30.83 % num_of_input_neg_conjectures: 1
% 30.55/30.83 % num_of_splits: 0
% 30.55/30.83 % num_of_split_atoms: 0
% 30.55/30.83 % num_of_sem_filtered_clauses: 0
% 30.55/30.83 % num_of_subtypes: 0
% 30.55/30.83 % monotx_restored_types: 0
% 30.55/30.83 % sat_num_of_epr_types: 0
% 30.55/30.83 % sat_num_of_non_cyclic_types: 0
% 30.55/30.83 % sat_guarded_non_collapsed_types: 0
% 30.55/30.83 % is_epr: 0
% 30.55/30.83 % is_horn: 0
% 30.55/30.83 % has_eq: 1
% 30.55/30.83 % num_pure_diseq_elim: 0
% 30.55/30.83 % simp_replaced_by: 0
% 30.55/30.83 % res_preprocessed: 7
% 30.55/30.83 % prep_upred: 0
% 30.55/30.83 % prep_unflattend: 0
% 30.55/30.83 % pred_elim_cands: 0
% 30.55/30.83 % pred_elim: 0
% 30.55/30.83 % pred_elim_cl: 0
% 30.55/30.83 % pred_elim_cycles: 0
% 30.55/30.83 % forced_gc_time: 0
% 30.55/30.83 % gc_basic_clause_elim: 0
% 30.55/30.83 % parsing_time: 0.051
% 30.55/30.83 % sem_filter_time: 0.
% 30.55/30.83 % pred_elim_time: 0.
% 30.55/30.83 % out_proof_time: 0.
% 30.55/30.83 % monotx_time: 0.
% 30.55/30.83 % subtype_inf_time: 0.
% 30.55/30.83 % unif_index_cands_time: 0.
% 30.55/30.83 % unif_index_add_time: 0.
% 30.55/30.83 % total_time: 9.964
% 30.55/30.83 % num_of_symbols: 118
% 30.55/30.83 % num_of_terms: 1480
% 30.55/30.83
% 30.55/30.83 % ------ Propositional Solver
% 30.55/30.83
% 30.55/30.83 % prop_solver_calls: 1
% 30.55/30.83 % prop_fast_solver_calls: 13
% 30.55/30.83 % prop_num_of_clauses: 300
% 30.55/30.83 % prop_preprocess_simplified: 991
% 30.55/30.83 % prop_fo_subsumed: 0
% 30.55/30.83 % prop_solver_time: 0.
% 30.55/30.83 % prop_fast_solver_time: 0.
% 30.55/30.83 % prop_unsat_core_time: 0.
% 30.55/30.83
% 30.55/30.83 % ------ QBF
% 30.55/30.83
% 30.55/30.83 % qbf_q_res: 0
% 30.55/30.83 % qbf_num_tautologies: 0
% 30.55/30.83 % qbf_prep_cycles: 0
% 30.55/30.83
% 30.55/30.83 % ------ BMC1
% 30.55/30.83
% 30.55/30.83 % bmc1_current_bound: -1
% 30.55/30.83 % bmc1_last_solved_bound: -1
% 30.55/30.83 % bmc1_unsat_core_size: -1
% 30.55/30.83 % bmc1_unsat_core_parents_size: -1
% 30.55/30.83 % bmc1_merge_next_fun: 0
% 30.55/30.83 % bmc1_unsat_core_clauses_time: 0.
% 30.55/30.83
% 30.55/30.83 % ------ Instantiation
% 30.55/30.83
% 30.55/30.83 % inst_num_of_clauses: 293
% 30.55/30.83 % inst_num_in_passive: 0
% 30.55/30.83 % inst_num_in_active: 0
% 30.55/30.83 % inst_num_in_unprocessed: 329
% 30.55/30.83 % inst_num_of_loops: 0
% 30.55/30.83 % inst_num_of_learning_restarts: 0
% 30.55/30.83 % inst_num_moves_active_passive: 0
% 30.55/30.83 % inst_lit_activity: 0
% 30.55/30.83 % inst_lit_activity_moves: 0
% 30.55/30.83 % inst_num_tautologies: 0
% 30.55/30.83 % inst_num_prop_implied: 0
% 30.55/30.83 % inst_num_existing_simplified: 0
% 30.55/30.83 % inst_num_eq_res_simplified: 0
% 30.55/30.83 % inst_num_child_elim: 0
% 30.55/30.83 % inst_num_of_dismatching_blockings: 0
% 30.55/30.83 % inst_num_of_non_proper_insts: 0
% 30.55/30.83 % inst_num_of_duplicates: 0
% 30.55/30.83 % inst_inst_num_from_inst_to_res: 0
% 30.55/30.83 % inst_dismatching_checking_time: 0.
% 30.55/30.83
% 30.55/30.83 % ------ Resolution
% 30.55/30.83
% 30.55/30.83 % res_num_of_clauses: 322
% 30.55/30.83 % res_num_in_passive: 0
% 30.55/30.83 % res_num_in_active: 135
% 30.55/30.83 % res_num_of_loops: 7
% 30.55/30.83 % res_forward_subset_subsumed: 168
% 30.55/30.83 % res_backward_subset_subsumed: 0
% 30.55/30.83 % res_forward_subsumed: 0
% 30.55/30.83 % res_backward_subsumed: 0
% 30.55/30.83 % res_forward_subsumption_resolution: 0
% 30.55/30.83 % res_backward_subsumption_resolution: 0
% 30.55/30.83 % res_clause_to_clause_subsumption: 0
% 30.55/30.83 % res_orphan_elimination: 0
% 30.55/30.83 % res_tautology_del: 0
% 30.55/30.83 % res_num_eq_res_simplified: 0
% 30.55/30.83 % res_num_sel_changes: 0
% 30.55/30.83 % res_moves_from_active_to_pass: 0
% 30.55/30.83
% 30.55/30.83 % Status Unknown
% 30.55/30.83 % Last status :
% 30.55/30.83 % SZS status Unknown
%------------------------------------------------------------------------------