TSTP Solution File: SET894+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET894+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:18:24 EDT 2022
% Result : Unknown 0.43s 0.75s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET894+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 16:43:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40 % FOF problem with conjecture
% 0.20/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1cfe9f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0168dc | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.53 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.53 % --bmc1_dump_file -
% 0.20/0.53 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.53 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.53 % --bmc1_ucm_extend_mode 1
% 0.20/0.53 % --bmc1_ucm_init_mode 2
% 0.20/0.53 % --bmc1_ucm_cone_mode none
% 0.20/0.53 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.53 % --bmc1_ucm_relax_model 4
% 0.20/0.53 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.53 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.53 % --bmc1_ucm_layered_model none
% 0.20/0.53 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.53
% 0.20/0.53 % ------ AIG Options
% 0.20/0.53
% 0.20/0.53 % --aig_mode false
% 0.20/0.53
% 0.20/0.53 % ------ Instantiation Options
% 0.20/0.53
% 0.20/0.53 % --instantiation_flag true
% 0.20/0.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.53 % --inst_solver_per_active 750
% 0.20/0.53 % --inst_solver_calls_frac 0.5
% 0.20/0.53 % --inst_passive_queue_type priority_queues
% 0.20/0.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.53 % --inst_passive_queues_freq [25;2]
% 0.20/0.53 % --inst_dismatching true
% 0.20/0.53 % --inst_eager_unprocessed_to_passive true
% 0.20/0.53 % --inst_prop_sim_given true
% 0.20/0.53 % --inst_prop_sim_new false
% 0.20/0.53 % --inst_orphan_elimination true
% 0.20/0.53 % --inst_learning_loop_flag true
% 0.20/0.53 % --inst_learning_start 3000
% 0.20/0.53 % --inst_learning_factor 2
% 0.20/0.53 % --inst_start_prop_sim_after_learn 3
% 0.20/0.53 % --inst_sel_renew solver
% 0.20/0.53 % --inst_lit_activity_flag true
% 0.20/0.53 % --inst_out_proof true
% 0.20/0.53
% 0.20/0.53 % ------ Resolution Options
% 0.20/0.53
% 0.20/0.53 % --resolution_flag true
% 0.20/0.53 % --res_lit_sel kbo_max
% 0.20/0.53 % --res_to_prop_solver none
% 0.20/0.53 % --res_prop_simpl_new false
% 0.20/0.53 % --res_prop_simpl_given false
% 0.20/0.53 % --res_passive_queue_type priority_queues
% 0.20/0.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.53 % --res_passive_queues_freq [15;5]
% 0.20/0.53 % --res_forward_subs full
% 0.20/0.53 % --res_backward_subs full
% 0.20/0.53 % --res_forward_subs_resolution true
% 0.20/0.53 % --res_backward_subs_resolution true
% 0.20/0.53 % --res_orphan_elimination false
% 0.20/0.53 % --res_time_limit 1000.
% 0.20/0.53 % --res_out_proof true
% 0.20/0.53 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1cfe9f.s
% 0.20/0.53 % --modulo true
% 0.20/0.53
% 0.20/0.53 % ------ Combination Options
% 0.20/0.53
% 0.20/0.53 % --comb_res_mult 1000
% 0.20/0.53 % --comb_inst_mult 300
% 0.20/0.53 % ------
% 0.20/0.53
% 0.20/0.53 % ------ Parsing...% successful
% 0.20/0.53
% 0.20/0.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.53
% 0.20/0.53 % ------ Proving...
% 0.20/0.53 % ------ Problem Properties
% 0.20/0.53
% 0.20/0.53 %
% 0.20/0.53 % EPR false
% 0.20/0.53 % Horn false
% 0.20/0.53 % Has equality true
% 0.20/0.53
% 0.20/0.53 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 Compiling...
% 0.20/0.53 Loading plugin: done.
% 0.20/0.53 % % ------ Current options:
% 0.20/0.53
% 0.20/0.53 % ------ Input Options
% 0.20/0.53
% 0.20/0.53 % --out_options all
% 0.20/0.53 % --tptp_safe_out true
% 0.20/0.53 % --problem_path ""
% 0.20/0.53 % --include_path ""
% 0.20/0.53 % --clausifier .//eprover
% 0.20/0.53 % --clausifier_options --tstp-format
% 0.20/0.53 % --stdin false
% 0.20/0.53 % --dbg_backtrace false
% 0.20/0.53 % --dbg_dump_prop_clauses false
% 0.20/0.53 % --dbg_dump_prop_clauses_file -
% 0.20/0.53 % --dbg_out_stat false
% 0.20/0.53
% 0.20/0.53 % ------ General Options
% 0.20/0.53
% 0.20/0.53 % --fof false
% 0.20/0.53 % --time_out_real 150.
% 0.20/0.53 % --time_out_prep_mult 0.2
% 0.20/0.53 % --time_out_virtual -1.
% 0.20/0.53 % --schedule none
% 0.20/0.53 % --ground_splitting input
% 0.20/0.53 % --splitting_nvd 16
% 0.20/0.53 % --non_eq_to_eq false
% 0.20/0.53 % --prep_gs_sim true
% 0.20/0.53 % --prep_unflatten false
% 0.20/0.53 % --prep_res_sim true
% 0.20/0.53 % --prep_upred true
% 0.20/0.53 % --res_sim_input true
% 0.20/0.53 % --clause_weak_htbl true
% 0.20/0.53 % --gc_record_bc_elim false
% 0.20/0.53 % --symbol_type_check false
% 0.20/0.53 % --clausify_out false
% 0.20/0.53 % --large_theory_mode false
% 0.20/0.53 % --prep_sem_filter none
% 0.20/0.53 % --prep_sem_filter_out false
% 0.20/0.53 % --preprocessed_out false
% 0.20/0.53 % --sub_typing false
% 0.20/0.53 % --brand_transform false
% 0.20/0.53 % --pure_diseq_elim true
% 0.20/0.53 % --min_unsat_core false
% 0.20/0.53 % --pred_elim true
% 0.20/0.53 % --add_important_lit false
% 0.20/0.53 % --soft_assumptions false
% 0.20/0.53 % --reset_solvers false
% 0.20/0.53 % --bc_imp_inh []
% 0.20/0.53 % --conj_cone_tolerance 1.5
% 0.20/0.53 % --prolific_symb_bound 500
% 0.20/0.53 % --lt_threshold 2000
% 0.20/0.53
% 0.20/0.53 % ------ SAT Options
% 0.20/0.53
% 0.20/0.53 % --sat_mode false
% 0.20/0.53 % --sat_fm_restart_options ""
% 0.20/0.53 % --sat_gr_def false
% 0.20/0.53 % --sat_epr_types true
% 0.20/0.53 % --sat_non_cyclic_types false
% 0.20/0.53 % --sat_finite_models false
% 0.20/0.53 % --sat_fm_lemmas false
% 0.20/0.53 % --sat_fm_prep false
% 0.20/0.53 % --sat_fm_uc_incr true
% 0.20/0.53 % --sat_out_model small
% 0.20/0.53 % --sat_out_clauses false
% 0.20/0.53
% 0.20/0.53 % ------ QBF Options
% 0.20/0.53
% 0.20/0.53 % --qbf_mode false
% 0.20/0.53 % --qbf_elim_univ true
% 0.20/0.53 % --qbf_sk_in true
% 0.20/0.53 % --qbf_pred_elim true
% 0.20/0.53 % --qbf_split 32
% 0.20/0.53
% 0.20/0.53 % ------ BMC1 Options
% 0.20/0.53
% 0.20/0.53 % --bmc1_incremental false
% 0.20/0.53 % --bmc1_axioms reachable_all
% 0.20/0.53 % --bmc1_min_bound 0
% 0.20/0.53 % --bmc1_max_bound -1
% 0.20/0.53 % --bmc1_max_bound_default -1
% 0.20/0.53 % --bmc1_symbol_reachability true
% 0.20/0.53 % --bmc1_property_lemmas false
% 0.20/0.53 % --bmc1_k_induction false
% 0.20/0.53 % --bmc1_non_equiv_states false
% 0.20/0.53 % --bmc1_deadlock false
% 0.20/0.53 % --bmc1_ucm false
% 0.20/0.53 % --bmc1_add_unsat_core none
% 0.20/0.53 % --bmc1_unsat_core_children false
% 0.20/0.53 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.53 % --bmc1_out_stat full
% 0.20/0.53 % --bmc1_ground_init false
% 0.20/0.53 % --bmc1_pre_inst_next_state false
% 0.20/0.53 % --bmc1_pre_inst_state false
% 0.20/0.53 % --bmc1_pre_inst_reach_state false
% 0.20/0.53 % --bmc1_out_unsat_core false
% 0.20/0.53 % --bmc1_aig_witness_out false
% 0.20/0.53 % --bmc1_verbose false
% 0.20/0.53 % --bmc1_dump_clauses_tptp false
% 0.20/0.53 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.53 % --bmc1_dump_file -
% 0.20/0.53 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.53 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.53 % --bmc1_ucm_extend_mode 1
% 0.20/0.53 % --bmc1_ucm_init_mode 2
% 0.20/0.53 % --bmc1_ucm_cone_mode none
% 0.20/0.53 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.53 % --bmc1_ucm_relax_model 4
% 0.20/0.53 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.53 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.53 % --bmc1_ucm_layered_model none
% 0.20/0.53 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.53
% 0.20/0.53 % ------ AIG Options
% 0.20/0.53
% 0.20/0.53 % --aig_mode false
% 0.20/0.53
% 0.20/0.53 % ------ Instantiation Options
% 0.20/0.53
% 0.20/0.53 % --instantiation_flag true
% 0.20/0.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.53 % --inst_solver_per_active 750
% 0.20/0.53 % --inst_solver_calls_frac 0.5
% 0.20/0.53 % --inst_passive_queue_type priority_queues
% 0.20/0.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.53 % --inst_passive_queues_freq [25;2]
% 0.20/0.53 % --inst_dismatching true
% 0.20/0.53 % --inst_eager_unprocessed_to_passive true
% 0.20/0.54 % --inst_prop_sim_given true
% 0.20/0.54 % --inst_prop_sim_new false
% 0.20/0.54 % --inst_orphan_elimination true
% 0.20/0.54 % --inst_learning_loop_flag true
% 0.20/0.54 % --inst_learning_start 3000
% 0.20/0.54 % --inst_learning_factor 2
% 0.20/0.54 % --inst_start_prop_sim_after_learn 3
% 0.20/0.54 % --inst_sel_renew solver
% 0.20/0.54 % --inst_lit_activity_flag true
% 0.20/0.54 % --inst_out_proof true
% 0.20/0.54
% 0.20/0.54 % ------ Resolution Options
% 0.20/0.54
% 0.20/0.54 % --resolution_flag true
% 0.20/0.54 % --res_lit_sel kbo_max
% 0.20/0.54 % --res_to_prop_solver none
% 0.20/0.54 % --res_prop_simpl_new false
% 0.20/0.54 % --res_prop_simpl_given false
% 0.20/0.54 % --res_passive_queue_type priority_queues
% 0.20/0.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.54 % --res_passive_queues_freq [15;5]
% 0.20/0.54 % --res_forward_subs full
% 0.20/0.54 % --res_backward_subs full
% 0.20/0.54 % --res_forward_subs_resolution true
% 0.20/0.54 % --res_backward_subs_resolution true
% 0.20/0.54 % --res_orphan_elimination false
% 0.20/0.54 % --res_time_limit 1000.
% 0.20/0.54 % --res_out_proof true
% 0.20/0.54 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1cfe9f.s
% 0.20/0.54 % --modulo true
% 0.20/0.54
% 0.20/0.54 % ------ Combination Options
% 0.20/0.54
% 0.20/0.54 % --comb_res_mult 1000
% 0.20/0.54 % --comb_inst_mult 300
% 0.20/0.54 % ------
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % ------ Proving...
% 0.20/0.54 % warning: shown sat in sat incomplete mode
% 0.20/0.54 %
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 cnf(c_23,negated_conjecture,
% 0.20/0.54 ( singleton(ordered_pair(sk3_esk1_0,sk3_esk2_0)) != cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) ),
% 0.20/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_4) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_43,negated_conjecture,
% 0.20/0.54 ( singleton(ordered_pair(sk3_esk1_0,sk3_esk2_0)) != cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(copy,[status(esa)],[c_23]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_47,negated_conjecture,
% 0.20/0.54 ( singleton(ordered_pair(sk3_esk1_0,sk3_esk2_0)) != cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(copy,[status(esa)],[c_43]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_48,negated_conjecture,
% 0.20/0.54 ( singleton(ordered_pair(sk3_esk1_0,sk3_esk2_0)) != cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(copy,[status(esa)],[c_47]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_49,negated_conjecture,
% 0.20/0.54 ( singleton(ordered_pair(sk3_esk1_0,sk3_esk2_0)) != cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_119,negated_conjecture,
% 0.20/0.54 ( singleton(ordered_pair(sk3_esk1_0,sk3_esk2_0)) != cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(copy,[status(esa)],[c_49]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_120,plain,
% 0.20/0.54 ( singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))) != cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_119]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_18,plain,
% 0.20/0.54 ( ~ in(sk1_esk4_3(X0,X1,X2),X0)
% 0.20/0.54 | ~ in(X3,X2)
% 0.20/0.54 | ~ in(X4,X1)
% 0.20/0.54 | sk1_esk4_3(X0,X1,X2) != ordered_pair(X3,X4)
% 0.20/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.20/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_58_0) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_109,plain,
% 0.20/0.54 ( ~ in(sk1_esk4_3(X0,X1,X2),X0)
% 0.20/0.54 | ~ in(X3,X2)
% 0.20/0.54 | ~ in(X4,X1)
% 0.20/0.54 | sk1_esk4_3(X0,X1,X2) != ordered_pair(X3,X4)
% 0.20/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.20/0.54 inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_110,plain,
% 0.20/0.54 ( ~ in(sk1_esk4_3(X0,X1,X2),X0)
% 0.20/0.54 | ~ in(X3,X2)
% 0.20/0.54 | ~ in(X4,X1)
% 0.20/0.54 | sk1_esk4_3(X0,X1,X2) != unordered_pair(unordered_pair(X3,X4),singleton(X3))
% 0.20/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_109]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_128,plain,
% 0.20/0.54 ( ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0))
% 0.20/0.54 | sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)) != unordered_pair(unordered_pair(X0,X1),singleton(X0)) ),
% 0.20/0.54 inference(resolution,[status(thm)],[c_120,c_110]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_133,plain,
% 0.20/0.54 ( ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0))
% 0.20/0.54 | sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)) != unordered_pair(unordered_pair(X0,X1),singleton(X0)) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_128]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_9,plain,
% 0.20/0.54 ( in(sk1_esk7_2(X0,X1),X1) | in(sk1_esk7_2(X0,X1),X0) | X1 = X0 ),
% 0.20/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_67_0) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_91,plain,
% 0.20/0.54 ( in(sk1_esk7_2(X0,X1),X1) | in(sk1_esk7_2(X0,X1),X0) | X1 = X0 ),
% 0.20/0.54 inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_168,plain,
% 0.20/0.54 ( in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),unordered_pair(unordered_pair(X0,X1),singleton(X0)))
% 0.20/0.54 | in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(resolution,[status(thm)],[c_133,c_91]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_169,plain,
% 0.20/0.54 ( in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),unordered_pair(unordered_pair(X0,X1),singleton(X0)))
% 0.20/0.54 | in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_168]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_6,plain,
% 0.20/0.54 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_70_0) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_85,plain,
% 0.20/0.54 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.54 inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_199,plain,
% 0.20/0.54 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(resolution,[status(thm)],[c_169,c_85]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_200,plain,
% 0.20/0.54 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_199]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_197,plain,
% 0.20/0.54 ( in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),unordered_pair(unordered_pair(X0,X1),singleton(X0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(resolution,[status(thm)],[c_169,c_85]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_198,plain,
% 0.20/0.54 ( in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),unordered_pair(unordered_pair(X0,X1),singleton(X0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_197]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_12,plain,
% 0.20/0.54 ( ~ in(sk1_esk7_2(X0,X1),X1) | ~ in(sk1_esk7_2(X0,X1),X0) | X1 = X0 ),
% 0.20/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_64_0) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_97,plain,
% 0.20/0.54 ( ~ in(sk1_esk7_2(X0,X1),X1) | ~ in(sk1_esk7_2(X0,X1),X0) | X1 = X0 ),
% 0.20/0.54 inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_167,plain,
% 0.20/0.54 ( ~ in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),unordered_pair(unordered_pair(X0,X1),singleton(X0)))
% 0.20/0.54 | ~ in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(resolution,[status(thm)],[c_133,c_97]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_170,plain,
% 0.20/0.54 ( ~ in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),unordered_pair(unordered_pair(X0,X1),singleton(X0)))
% 0.20/0.54 | ~ in(sk1_esk7_2(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.20/0.54 | ~ in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | ~ in(X0,singleton(sk3_esk1_0))
% 0.20/0.54 | ~ in(X1,singleton(sk3_esk2_0)) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_167]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_124,plain,
% 0.20/0.54 ( in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0))) ),
% 0.20/0.54 inference(resolution,[status(thm)],[c_120,c_91]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_125,plain,
% 0.20/0.54 ( in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.20/0.54 | in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0))) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_124]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_151,plain,
% 0.20/0.54 ( ~ in(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))))
% 0.20/0.54 | in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0))) ),
% 0.20/0.54 inference(resolution,[status(thm)],[c_125,c_85]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_152,plain,
% 0.20/0.54 ( ~ in(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))))
% 0.20/0.54 | in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0))) ),
% 0.20/0.54 inference(rewriting,[status(thm)],[c_151]) ).
% 0.20/0.54
% 0.20/0.54 cnf(c_17,plain,
% 0.20/0.54 ( in(sk1_esk5_3(X0,X1,X2),X2)
% 0.20/0.54 | in(sk1_esk4_3(X0,X1,X2),X0)
% 0.20/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.20/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_59_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_107,plain,
% 0.36/0.54 ( in(sk1_esk5_3(X0,X1,X2),X2)
% 0.36/0.54 | in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_17]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_108,plain,
% 0.36/0.54 ( in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | in(sk1_esk5_3(X0,X1,X2),X2)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_107]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_129,plain,
% 0.36/0.54 ( in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | in(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk1_0)) ),
% 0.36/0.54 inference(resolution,[status(thm)],[c_120,c_108]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_132,plain,
% 0.36/0.54 ( in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | in(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk1_0)) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_129]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_145,plain,
% 0.36/0.54 ( ~ in(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.36/0.54 | in(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk1_0)) ),
% 0.36/0.54 inference(resolution,[status(thm)],[c_132,c_85]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_146,plain,
% 0.36/0.54 ( ~ in(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.36/0.54 | in(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk1_0)) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_145]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_16,plain,
% 0.36/0.54 ( in(sk1_esk6_3(X0,X1,X2),X1)
% 0.36/0.54 | in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_60_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_105,plain,
% 0.36/0.54 ( in(sk1_esk6_3(X0,X1,X2),X1)
% 0.36/0.54 | in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_16]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_106,plain,
% 0.36/0.54 ( in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | in(sk1_esk6_3(X0,X1,X2),X1)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_105]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_130,plain,
% 0.36/0.54 ( in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | in(sk1_esk6_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk2_0)) ),
% 0.36/0.54 inference(resolution,[status(thm)],[c_120,c_106]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_131,plain,
% 0.36/0.54 ( in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | in(sk1_esk6_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk2_0)) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_130]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_139,plain,
% 0.36/0.54 ( ~ in(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.36/0.54 | in(sk1_esk6_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk2_0)) ),
% 0.36/0.54 inference(resolution,[status(thm)],[c_131,c_85]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_140,plain,
% 0.36/0.54 ( ~ in(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))
% 0.36/0.54 | in(sk1_esk6_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(sk3_esk2_0)) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_139]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_19,plain,
% 0.36/0.54 ( ordered_pair(sk1_esk5_3(X0,X1,X2),sk1_esk6_3(X0,X1,X2)) = sk1_esk4_3(X0,X1,X2)
% 0.36/0.54 | in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_57_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_111,plain,
% 0.36/0.54 ( ordered_pair(sk1_esk5_3(X0,X1,X2),sk1_esk6_3(X0,X1,X2)) = sk1_esk4_3(X0,X1,X2)
% 0.36/0.54 | in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_19]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_112,plain,
% 0.36/0.54 ( in(sk1_esk4_3(X0,X1,X2),X0)
% 0.36/0.54 | unordered_pair(unordered_pair(sk1_esk5_3(X0,X1,X2),sk1_esk6_3(X0,X1,X2)),singleton(sk1_esk5_3(X0,X1,X2))) = sk1_esk4_3(X0,X1,X2)
% 0.36/0.54 | X0 = cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_111]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_127,plain,
% 0.36/0.54 ( in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | unordered_pair(unordered_pair(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),sk1_esk6_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))) = sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)) ),
% 0.36/0.54 inference(resolution,[status(thm)],[c_120,c_112]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_134,plain,
% 0.36/0.54 ( in(sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | unordered_pair(unordered_pair(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)),sk1_esk6_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk1_esk5_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)))) = sk1_esk4_3(singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))),singleton(sk3_esk2_0),singleton(sk3_esk1_0)) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_127]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_123,plain,
% 0.36/0.54 ( ~ in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | ~ in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0))) ),
% 0.36/0.54 inference(resolution,[status(thm)],[c_120,c_97]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_126,plain,
% 0.36/0.54 ( ~ in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0))))
% 0.36/0.54 | ~ in(sk1_esk7_2(cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),singleton(unordered_pair(unordered_pair(sk3_esk1_0,sk3_esk2_0),singleton(sk3_esk1_0)))),cartesian_product2(singleton(sk3_esk1_0),singleton(sk3_esk2_0))) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_123]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_22,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | ordered_pair(sk1_esk2_4(X1,X2,X3,X0),sk1_esk3_4(X1,X2,X3,X0)) = X0
% 0.36/0.54 | X1 != cartesian_product2(X3,X2) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_54_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_117,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | ordered_pair(sk1_esk2_4(X1,X2,X3,X0),sk1_esk3_4(X1,X2,X3,X0)) = X0
% 0.36/0.54 | X1 != cartesian_product2(X3,X2) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_22]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_118,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | unordered_pair(unordered_pair(sk1_esk2_4(X1,X2,X3,X0),sk1_esk3_4(X1,X2,X3,X0)),singleton(sk1_esk2_4(X1,X2,X3,X0))) = X0
% 0.36/0.54 | X1 != cartesian_product2(X3,X2) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_117]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_21,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | in(sk1_esk2_4(X1,X2,X3,X0),X3)
% 0.36/0.54 | X1 != cartesian_product2(X3,X2) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_55_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_115,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | in(sk1_esk2_4(X1,X2,X3,X0),X3)
% 0.36/0.54 | X1 != cartesian_product2(X3,X2) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_21]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_116,plain,
% 0.36/0.54 ( in(sk1_esk2_4(X0,X1,X2,X3),X2)
% 0.36/0.54 | ~ in(X3,X0)
% 0.36/0.54 | X0 != cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_115]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_20,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | in(sk1_esk3_4(X1,X2,X3,X0),X2)
% 0.36/0.54 | X1 != cartesian_product2(X3,X2) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_56_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_113,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | in(sk1_esk3_4(X1,X2,X3,X0),X2)
% 0.36/0.54 | X1 != cartesian_product2(X3,X2) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_20]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_114,plain,
% 0.36/0.54 ( in(sk1_esk3_4(X0,X1,X2,X3),X1)
% 0.36/0.54 | ~ in(X3,X0)
% 0.36/0.54 | X0 != cartesian_product2(X2,X1) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_113]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_15,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | ~ in(X2,X3)
% 0.36/0.54 | in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_61_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_103,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | ~ in(X2,X3)
% 0.36/0.54 | in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_15]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_104,plain,
% 0.36/0.54 ( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
% 0.36/0.54 | ~ in(X0,X2)
% 0.36/0.54 | ~ in(X1,X3) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_103]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_14,plain,
% 0.36/0.54 ( in(X0,X1) | ~ in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_62_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_101,plain,
% 0.36/0.54 ( in(X0,X1) | ~ in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_14]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_102,plain,
% 0.36/0.54 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
% 0.36/0.54 | in(X0,X2) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_101]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_13,plain,
% 0.36/0.54 ( in(X0,X1) | ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_63_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_99,plain,
% 0.36/0.54 ( in(X0,X1) | ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_13]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_100,plain,
% 0.36/0.54 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
% 0.36/0.54 | in(X1,X3) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_99]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_11,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | ~ in(X2,X3)
% 0.36/0.54 | X4 != ordered_pair(X0,X2)
% 0.36/0.54 | in(X4,X5)
% 0.36/0.54 | X5 != cartesian_product2(X1,X3) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_65_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_95,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | ~ in(X2,X3)
% 0.36/0.54 | X4 != ordered_pair(X0,X2)
% 0.36/0.54 | in(X4,X5)
% 0.36/0.54 | X5 != cartesian_product2(X1,X3) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_11]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_96,plain,
% 0.36/0.54 ( ~ in(X0,X1)
% 0.36/0.54 | ~ in(X2,X3)
% 0.36/0.54 | in(X4,X5)
% 0.36/0.54 | X4 != unordered_pair(unordered_pair(X0,X2),singleton(X0))
% 0.36/0.54 | X5 != cartesian_product2(X1,X3) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_95]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_7,plain,
% 0.36/0.54 ( ~ in(X0,X1) | X0 = X2 | X1 != singleton(X2) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_69_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_87,plain,
% 0.36/0.54 ( ~ in(X0,X1) | X0 = X2 | X1 != singleton(X2) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_7]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_88,plain,
% 0.36/0.54 ( ~ in(X0,X1) | X1 != singleton(X2) | X0 = X2 ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_87]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_5,plain,
% 0.36/0.54 ( X0 != X1 | in(X0,X2) | X2 != singleton(X1) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_71_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_83,plain,
% 0.36/0.54 ( X0 != X1 | in(X0,X2) | X2 != singleton(X1) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_5]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_84,plain,
% 0.36/0.54 ( in(X0,X1) | X1 != singleton(X2) | X0 != X2 ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_83]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_4,plain,
% 0.36/0.54 ( ~ empty(ordered_pair(X0,X1)) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_72_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_81,plain,
% 0.36/0.54 ( ~ empty(ordered_pair(X0,X1)) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_4]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_82,plain,
% 0.36/0.54 ( ~ empty(unordered_pair(unordered_pair(X0,X1),singleton(X0))) ),
% 0.36/0.54 inference(rewriting,[status(thm)],[c_81]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_10,plain,
% 0.36/0.54 ( ~ in(sk1_esk1_2(X0,X1),X0)
% 0.36/0.54 | sk1_esk1_2(X0,X1) != X1
% 0.36/0.54 | X0 = singleton(X1) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_66_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_93,plain,
% 0.36/0.54 ( ~ in(sk1_esk1_2(X0,X1),X0)
% 0.36/0.54 | sk1_esk1_2(X0,X1) != X1
% 0.36/0.54 | X0 = singleton(X1) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_10]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_8,plain,
% 0.36/0.54 ( in(sk1_esk1_2(X0,X1),X0)
% 0.36/0.54 | sk1_esk1_2(X0,X1) = X1
% 0.36/0.54 | X0 = singleton(X1) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_68_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_89,plain,
% 0.36/0.54 ( in(sk1_esk1_2(X0,X1),X0)
% 0.36/0.54 | sk1_esk1_2(X0,X1) = X1
% 0.36/0.54 | X0 = singleton(X1) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_8]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_2,plain,
% 0.36/0.54 ( unordered_pair(X0,X1) = unordered_pair(X1,X0) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_74_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_78,plain,
% 0.36/0.54 ( unordered_pair(X0,X1) = unordered_pair(X1,X0) ),
% 0.36/0.54 inference(copy,[status(esa)],[c_2]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_1,plain,
% 0.36/0.54 ( empty(sk2_esk2_0) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_9_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_76,plain,( empty(sk2_esk2_0) ),inference(copy,[status(esa)],[c_1]) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_0,plain,
% 0.36/0.54 ( ~ empty(sk2_esk1_0) ),
% 0.36/0.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_8_0) ).
% 0.36/0.54
% 0.36/0.54 cnf(c_74,plain,( ~ empty(sk2_esk1_0) ),inference(copy,[status(esa)],[c_0]) ).
% 0.36/0.54
% 0.36/0.54
% 0.36/0.54
% 0.36/0.54 % ------ Statistics
% 0.36/0.54
% 0.36/0.54 % ------ General
% 0.36/0.54
% 0.36/0.54 % num_of_input_clauses: 24
% 0.36/0.54 % num_of_input_neg_conjectures: 1
% 0.36/0.54 % num_of_splits: 0
% 0.36/0.54 % num_of_split_atoms: 0
% 0.36/0.54 % num_of_sem_filtered_clauses: 0
% 0.36/0.54 % num_of_subtypes: 0
% 0.36/0.54 % monotx_restored_types: 0
% 0.36/0.54 % sat_num_of_epr_types: 0
% 0.36/0.54 % sat_num_of_non_cyclic_types: 0
% 0.36/0.54 % sat_guarded_non_collapsed_types: 0
% 0.36/0.54 % is_epr: 0
% 0.36/0.54 % is_horn: 0
% 0.36/0.54 % has_eq: 1
% 0.36/0.54 % num_pure_diseq_elim: 0
% 0.36/0.54 % simp_replaced_by: 0
% 0.36/0.54 % res_preprocessed: 2
% 0.36/0.54 % prep_upred: 0
% 0.36/0.54 % prep_unflattend: 0
% 0.36/0.54 % pred_elim_cands: 0
% 0.36/0.54 % pred_elim: 0
% 0.36/0.54 % pred_elim_cl: 0
% 0.36/0.54 % pred_elim_cycles: 0
% 0.36/0.54 % forced_gc_time: 0
% 0.36/0.54 % gc_basic_clause_elim: 0
% 0.36/0.54 % parsing_time: 0.001
% 0.36/0.54 % sem_filter_time: 0.
% 0.36/0.54 % pred_elim_time: 0.
% 0.36/0.54 % out_proof_time: 0.
% 0.36/0.54 % monotx_time: 0.
% 0.36/0.54 % subtype_inf_time: 0.
% 0.36/0.54 % unif_index_cands_time: 0.
% 0.36/0.54 % unif_index_add_time: 0.
% 0.36/0.54 % total_time: 0.133
% 0.36/0.55 % num_of_symbols: 42
% 0.36/0.55 % num_of_terms: 279
% 0.36/0.55
% 0.36/0.55 % ------ Propositional Solver
% 0.36/0.55
% 0.36/0.55 % prop_solver_calls: 1
% 0.36/0.55 % prop_fast_solver_calls: 3
% 0.36/0.55 % prop_num_of_clauses: 43
% 0.36/0.55 % prop_preprocess_simplified: 55
% 0.36/0.55 % prop_fo_subsumed: 0
% 0.36/0.55 % prop_solver_time: 0.
% 0.36/0.55 % prop_fast_solver_time: 0.
% 0.36/0.55 % prop_unsat_core_time: 0.
% 0.36/0.55
% 0.36/0.55 % ------ QBF
% 0.36/0.55
% 0.36/0.55 % qbf_q_res: 0
% 0.36/0.55 % qbf_num_tautologies: 0
% 0.36/0.55 % qbf_prep_cycles: 0
% 0.36/0.55
% 0.36/0.55 % ------ BMC1
% 0.36/0.55
% 0.36/0.55 % bmc1_current_bound: -1
% 0.36/0.55 % bmc1_last_solved_bound: -1
% 0.36/0.55 % bmc1_unsat_core_size: -1
% 0.36/0.55 % bmc1_unsat_core_parents_size: -1
% 0.36/0.55 % bmc1_merge_next_fun: 0
% 0.36/0.55 % bmc1_unsat_core_clauses_time: 0.
% 0.36/0.55
% 0.36/0.55 % ------ Instantiation
% 0.36/0.55
% 0.36/0.55 % inst_num_of_clauses: 24
% 0.36/0.55 % inst_num_in_passive: 0
% 0.36/0.55 % inst_num_in_active: 0
% 0.36/0.55 % inst_num_in_unprocessed: 24
% 0.36/0.55 % inst_num_of_loops: 0
% 0.36/0.55 % inst_num_of_learning_restarts: 0
% 0.36/0.55 % inst_num_moves_active_passive: 0
% 0.36/0.55 % inst_lit_activity: 0
% 0.36/0.55 % inst_lit_activity_moves: 0
% 0.36/0.55 % inst_num_tautologies: 0
% 0.36/0.55 % inst_num_prop_implied: 0
% 0.36/0.55 % inst_num_existing_simplified: 0
% 0.36/0.55 % inst_num_eq_res_simplified: 0
% 0.36/0.55 % inst_num_child_elim: 0
% 0.36/0.55 % inst_num_of_dismatching_blockings: 0
% 0.36/0.55 % inst_num_of_non_proper_insts: 0
% 0.36/0.55 % inst_num_of_duplicates: 0
% 0.36/0.55 % inst_inst_num_from_inst_to_res: 0
% 0.36/0.55 % inst_dismatching_checking_time: 0.
% 0.36/0.55
% 0.36/0.55 % ------ Resolution
% 0.36/0.55
% 0.36/0.55 % res_num_of_clauses: 52
% 0.36/0.55 % res_num_in_passive: 0
% 0.36/0.55 % res_num_in_active: 36
% 0.36/0.55 % res_num_of_loops: 15
% 0.36/0.55 % res_forward_subset_subsumed: 0
% 0.36/0.55 % res_backward_subset_subsumed: 0
% 0.36/0.55 % res_forward_subsumed: 0
% 0.36/0.55 % res_backward_subsumed: 0
% 0.36/0.55 % res_forward_subsumption_resolution: 0
% 0.36/0.55 % res_backward_subsumption_resolution: 0
% 0.36/0.55 % res_clause_to_clause_subsumption: 41
% 0.36/0.55 % res_orphan_elimination: 0
% 0.36/0.55 % res_tautology_del: 2
% 0.36/0.55 % res_num_eq_res_simplified: 0
% 0.36/0.55 % res_num_sel_changes: 0
% 0.36/0.55 % res_moves_from_active_to_pass: 0
% 0.36/0.55
% 0.36/0.55 % Status Unknown
% 0.39/0.59 % Orienting using strategy ClausalAll
% 0.39/0.59 % FOF problem with conjecture
% 0.39/0.59 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1cfe9f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_300bf8 | grep -v "SZS"
% 0.39/0.61
% 0.39/0.61 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.39/0.61
% 0.39/0.61 %
% 0.39/0.61 % ------ iProver source info
% 0.39/0.61
% 0.39/0.61 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.39/0.61 % git: non_committed_changes: true
% 0.39/0.61 % git: last_make_outside_of_git: true
% 0.39/0.61
% 0.39/0.61 %
% 0.39/0.61 % ------ Input Options
% 0.39/0.61
% 0.39/0.61 % --out_options all
% 0.39/0.61 % --tptp_safe_out true
% 0.39/0.61 % --problem_path ""
% 0.39/0.61 % --include_path ""
% 0.39/0.61 % --clausifier .//eprover
% 0.39/0.61 % --clausifier_options --tstp-format
% 0.39/0.61 % --stdin false
% 0.39/0.61 % --dbg_backtrace false
% 0.39/0.61 % --dbg_dump_prop_clauses false
% 0.39/0.61 % --dbg_dump_prop_clauses_file -
% 0.39/0.61 % --dbg_out_stat false
% 0.39/0.61
% 0.39/0.61 % ------ General Options
% 0.39/0.61
% 0.39/0.61 % --fof false
% 0.39/0.61 % --time_out_real 150.
% 0.39/0.61 % --time_out_prep_mult 0.2
% 0.39/0.61 % --time_out_virtual -1.
% 0.39/0.61 % --schedule none
% 0.39/0.61 % --ground_splitting input
% 0.39/0.61 % --splitting_nvd 16
% 0.39/0.61 % --non_eq_to_eq false
% 0.39/0.61 % --prep_gs_sim true
% 0.39/0.61 % --prep_unflatten false
% 0.39/0.61 % --prep_res_sim true
% 0.39/0.61 % --prep_upred true
% 0.39/0.61 % --res_sim_input true
% 0.39/0.61 % --clause_weak_htbl true
% 0.39/0.61 % --gc_record_bc_elim false
% 0.39/0.61 % --symbol_type_check false
% 0.39/0.61 % --clausify_out false
% 0.39/0.61 % --large_theory_mode false
% 0.39/0.61 % --prep_sem_filter none
% 0.39/0.61 % --prep_sem_filter_out false
% 0.39/0.61 % --preprocessed_out false
% 0.39/0.61 % --sub_typing false
% 0.39/0.61 % --brand_transform false
% 0.39/0.61 % --pure_diseq_elim true
% 0.39/0.61 % --min_unsat_core false
% 0.39/0.61 % --pred_elim true
% 0.39/0.61 % --add_important_lit false
% 0.39/0.61 % --soft_assumptions false
% 0.39/0.61 % --reset_solvers false
% 0.39/0.61 % --bc_imp_inh []
% 0.39/0.61 % --conj_cone_tolerance 1.5
% 0.39/0.61 % --prolific_symb_bound 500
% 0.39/0.61 % --lt_threshold 2000
% 0.39/0.61
% 0.39/0.61 % ------ SAT Options
% 0.39/0.61
% 0.39/0.61 % --sat_mode false
% 0.39/0.61 % --sat_fm_restart_options ""
% 0.39/0.61 % --sat_gr_def false
% 0.39/0.61 % --sat_epr_types true
% 0.39/0.61 % --sat_non_cyclic_types false
% 0.39/0.61 % --sat_finite_models false
% 0.39/0.61 % --sat_fm_lemmas false
% 0.39/0.61 % --sat_fm_prep false
% 0.39/0.61 % --sat_fm_uc_incr true
% 0.39/0.61 % --sat_out_model small
% 0.39/0.61 % --sat_out_clauses false
% 0.39/0.61
% 0.39/0.61 % ------ QBF Options
% 0.39/0.61
% 0.39/0.61 % --qbf_mode false
% 0.39/0.61 % --qbf_elim_univ true
% 0.39/0.61 % --qbf_sk_in true
% 0.39/0.61 % --qbf_pred_elim true
% 0.39/0.61 % --qbf_split 32
% 0.39/0.61
% 0.39/0.61 % ------ BMC1 Options
% 0.39/0.61
% 0.39/0.61 % --bmc1_incremental false
% 0.39/0.61 % --bmc1_axioms reachable_all
% 0.39/0.61 % --bmc1_min_bound 0
% 0.39/0.61 % --bmc1_max_bound -1
% 0.39/0.61 % --bmc1_max_bound_default -1
% 0.39/0.61 % --bmc1_symbol_reachability true
% 0.39/0.61 % --bmc1_property_lemmas false
% 0.39/0.61 % --bmc1_k_induction false
% 0.39/0.61 % --bmc1_non_equiv_states false
% 0.39/0.61 % --bmc1_deadlock false
% 0.39/0.61 % --bmc1_ucm false
% 0.39/0.61 % --bmc1_add_unsat_core none
% 0.39/0.61 % --bmc1_unsat_core_children false
% 0.39/0.61 % --bmc1_unsat_core_extrapolate_axioms false
% 0.39/0.61 % --bmc1_out_stat full
% 0.39/0.61 % --bmc1_ground_init false
% 0.39/0.61 % --bmc1_pre_inst_next_state false
% 0.39/0.61 % --bmc1_pre_inst_state false
% 0.39/0.61 % --bmc1_pre_inst_reach_state false
% 0.39/0.61 % --bmc1_out_unsat_core false
% 0.39/0.61 % --bmc1_aig_witness_out false
% 0.39/0.61 % --bmc1_verbose false
% 0.39/0.61 % --bmc1_dump_clauses_tptp false
% 0.43/0.74 % --bmc1_dump_unsat_core_tptp false
% 0.43/0.74 % --bmc1_dump_file -
% 0.43/0.74 % --bmc1_ucm_expand_uc_limit 128
% 0.43/0.74 % --bmc1_ucm_n_expand_iterations 6
% 0.43/0.74 % --bmc1_ucm_extend_mode 1
% 0.43/0.74 % --bmc1_ucm_init_mode 2
% 0.43/0.74 % --bmc1_ucm_cone_mode none
% 0.43/0.74 % --bmc1_ucm_reduced_relation_type 0
% 0.43/0.74 % --bmc1_ucm_relax_model 4
% 0.43/0.74 % --bmc1_ucm_full_tr_after_sat true
% 0.43/0.74 % --bmc1_ucm_expand_neg_assumptions false
% 0.43/0.74 % --bmc1_ucm_layered_model none
% 0.43/0.74 % --bmc1_ucm_max_lemma_size 10
% 0.43/0.74
% 0.43/0.74 % ------ AIG Options
% 0.43/0.74
% 0.43/0.74 % --aig_mode false
% 0.43/0.74
% 0.43/0.74 % ------ Instantiation Options
% 0.43/0.74
% 0.43/0.74 % --instantiation_flag true
% 0.43/0.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.43/0.74 % --inst_solver_per_active 750
% 0.43/0.74 % --inst_solver_calls_frac 0.5
% 0.43/0.74 % --inst_passive_queue_type priority_queues
% 0.43/0.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.43/0.74 % --inst_passive_queues_freq [25;2]
% 0.43/0.74 % --inst_dismatching true
% 0.43/0.74 % --inst_eager_unprocessed_to_passive true
% 0.43/0.74 % --inst_prop_sim_given true
% 0.43/0.74 % --inst_prop_sim_new false
% 0.43/0.74 % --inst_orphan_elimination true
% 0.43/0.74 % --inst_learning_loop_flag true
% 0.43/0.74 % --inst_learning_start 3000
% 0.43/0.74 % --inst_learning_factor 2
% 0.43/0.74 % --inst_start_prop_sim_after_learn 3
% 0.43/0.74 % --inst_sel_renew solver
% 0.43/0.74 % --inst_lit_activity_flag true
% 0.43/0.74 % --inst_out_proof true
% 0.43/0.74
% 0.43/0.74 % ------ Resolution Options
% 0.43/0.74
% 0.43/0.74 % --resolution_flag true
% 0.43/0.74 % --res_lit_sel kbo_max
% 0.43/0.74 % --res_to_prop_solver none
% 0.43/0.74 % --res_prop_simpl_new false
% 0.43/0.74 % --res_prop_simpl_given false
% 0.43/0.74 % --res_passive_queue_type priority_queues
% 0.43/0.74 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.43/0.74 % --res_passive_queues_freq [15;5]
% 0.43/0.74 % --res_forward_subs full
% 0.43/0.74 % --res_backward_subs full
% 0.43/0.74 % --res_forward_subs_resolution true
% 0.43/0.74 % --res_backward_subs_resolution true
% 0.43/0.74 % --res_orphan_elimination false
% 0.43/0.74 % --res_time_limit 1000.
% 0.43/0.74 % --res_out_proof true
% 0.43/0.74 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1cfe9f.s
% 0.43/0.74 % --modulo true
% 0.43/0.74
% 0.43/0.74 % ------ Combination Options
% 0.43/0.74
% 0.43/0.74 % --comb_res_mult 1000
% 0.43/0.74 % --comb_inst_mult 300
% 0.43/0.74 % ------
% 0.43/0.74
% 0.43/0.74 % ------ Parsing...% successful
% 0.43/0.74
% 0.43/0.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.43/0.74
% 0.43/0.74 % ------ Proving...
% 0.43/0.74 % ------ Problem Properties
% 0.43/0.74
% 0.43/0.74 %
% 0.43/0.74 % EPR false
% 0.43/0.74 % Horn false
% 0.43/0.74 % Has equality true
% 0.43/0.74
% 0.43/0.74 % % ------ Input Options Time Limit: Unbounded
% 0.43/0.74
% 0.43/0.74
% 0.43/0.74 Compiling...
% 0.43/0.74 Loading plugin: done.
% 0.43/0.74 % % ------ Current options:
% 0.43/0.74
% 0.43/0.74 % ------ Input Options
% 0.43/0.74
% 0.43/0.74 % --out_options all
% 0.43/0.74 % --tptp_safe_out true
% 0.43/0.74 % --problem_path ""
% 0.43/0.74 % --include_path ""
% 0.43/0.74 % --clausifier .//eprover
% 0.43/0.74 % --clausifier_options --tstp-format
% 0.43/0.74 % --stdin false
% 0.43/0.74 % --dbg_backtrace false
% 0.43/0.74 % --dbg_dump_prop_clauses false
% 0.43/0.74 % --dbg_dump_prop_clauses_file -
% 0.43/0.74 % --dbg_out_stat false
% 0.43/0.74
% 0.43/0.74 % ------ General Options
% 0.43/0.74
% 0.43/0.74 % --fof false
% 0.43/0.74 % --time_out_real 150.
% 0.43/0.74 % --time_out_prep_mult 0.2
% 0.43/0.74 % --time_out_virtual -1.
% 0.43/0.74 % --schedule none
% 0.43/0.74 % --ground_splitting input
% 0.43/0.74 % --splitting_nvd 16
% 0.43/0.74 % --non_eq_to_eq false
% 0.43/0.74 % --prep_gs_sim true
% 0.43/0.74 % --prep_unflatten false
% 0.43/0.74 % --prep_res_sim true
% 0.43/0.74 % --prep_upred true
% 0.43/0.74 % --res_sim_input true
% 0.43/0.74 % --clause_weak_htbl true
% 0.43/0.74 % --gc_record_bc_elim false
% 0.43/0.74 % --symbol_type_check false
% 0.43/0.74 % --clausify_out false
% 0.43/0.74 % --large_theory_mode false
% 0.43/0.74 % --prep_sem_filter none
% 0.43/0.74 % --prep_sem_filter_out false
% 0.43/0.74 % --preprocessed_out false
% 0.43/0.74 % --sub_typing false
% 0.43/0.74 % --brand_transform false
% 0.43/0.74 % --pure_diseq_elim true
% 0.43/0.74 % --min_unsat_core false
% 0.43/0.74 % --pred_elim true
% 0.43/0.74 % --add_important_lit false
% 0.43/0.74 % --soft_assumptions false
% 0.43/0.74 % --reset_solvers false
% 0.43/0.74 % --bc_imp_inh []
% 0.43/0.74 % --conj_cone_tolerance 1.5
% 0.43/0.74 % --prolific_symb_bound 500
% 0.43/0.74 % --lt_threshold 2000
% 0.43/0.74
% 0.43/0.74 % ------ SAT Options
% 0.43/0.74
% 0.43/0.74 % --sat_mode false
% 0.43/0.74 % --sat_fm_restart_options ""
% 0.43/0.74 % --sat_gr_def false
% 0.43/0.74 % --sat_epr_types true
% 0.43/0.74 % --sat_non_cyclic_types false
% 0.43/0.74 % --sat_finite_models false
% 0.43/0.74 % --sat_fm_lemmas false
% 0.43/0.74 % --sat_fm_prep false
% 0.43/0.74 % --sat_fm_uc_incr true
% 0.43/0.74 % --sat_out_model small
% 0.43/0.74 % --sat_out_clauses false
% 0.43/0.74
% 0.43/0.74 % ------ QBF Options
% 0.43/0.74
% 0.43/0.74 % --qbf_mode false
% 0.43/0.74 % --qbf_elim_univ true
% 0.43/0.74 % --qbf_sk_in true
% 0.43/0.74 % --qbf_pred_elim true
% 0.43/0.74 % --qbf_split 32
% 0.43/0.74
% 0.43/0.74 % ------ BMC1 Options
% 0.43/0.74
% 0.43/0.74 % --bmc1_incremental false
% 0.43/0.74 % --bmc1_axioms reachable_all
% 0.43/0.74 % --bmc1_min_bound 0
% 0.43/0.74 % --bmc1_max_bound -1
% 0.43/0.74 % --bmc1_max_bound_default -1
% 0.43/0.74 % --bmc1_symbol_reachability true
% 0.43/0.74 % --bmc1_property_lemmas false
% 0.43/0.74 % --bmc1_k_induction false
% 0.43/0.74 % --bmc1_non_equiv_states false
% 0.43/0.74 % --bmc1_deadlock false
% 0.43/0.74 % --bmc1_ucm false
% 0.43/0.74 % --bmc1_add_unsat_core none
% 0.43/0.74 % --bmc1_unsat_core_children false
% 0.43/0.74 % --bmc1_unsat_core_extrapolate_axioms false
% 0.43/0.74 % --bmc1_out_stat full
% 0.43/0.74 % --bmc1_ground_init false
% 0.43/0.74 % --bmc1_pre_inst_next_state false
% 0.43/0.74 % --bmc1_pre_inst_state false
% 0.43/0.74 % --bmc1_pre_inst_reach_state false
% 0.43/0.74 % --bmc1_out_unsat_core false
% 0.43/0.74 % --bmc1_aig_witness_out false
% 0.43/0.74 % --bmc1_verbose false
% 0.43/0.74 % --bmc1_dump_clauses_tptp false
% 0.43/0.74 % --bmc1_dump_unsat_core_tptp false
% 0.43/0.74 % --bmc1_dump_file -
% 0.43/0.74 % --bmc1_ucm_expand_uc_limit 128
% 0.43/0.74 % --bmc1_ucm_n_expand_iterations 6
% 0.43/0.74 % --bmc1_ucm_extend_mode 1
% 0.43/0.74 % --bmc1_ucm_init_mode 2
% 0.43/0.74 % --bmc1_ucm_cone_mode none
% 0.43/0.74 % --bmc1_ucm_reduced_relation_type 0
% 0.43/0.74 % --bmc1_ucm_relax_model 4
% 0.43/0.74 % --bmc1_ucm_full_tr_after_sat true
% 0.43/0.74 % --bmc1_ucm_expand_neg_assumptions false
% 0.43/0.74 % --bmc1_ucm_layered_model none
% 0.43/0.74 % --bmc1_ucm_max_lemma_size 10
% 0.43/0.74
% 0.43/0.74 % ------ AIG Options
% 0.43/0.74
% 0.43/0.74 % --aig_mode false
% 0.43/0.74
% 0.43/0.74 % ------ Instantiation Options
% 0.43/0.74
% 0.43/0.74 % --instantiation_flag true
% 0.43/0.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.43/0.74 % --inst_solver_per_active 750
% 0.43/0.74 % --inst_solver_calls_frac 0.5
% 0.43/0.74 % --inst_passive_queue_type priority_queues
% 0.43/0.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.43/0.74 % --inst_passive_queues_freq [25;2]
% 0.43/0.74 % --inst_dismatching true
% 0.43/0.74 % --inst_eager_unprocessed_to_passive true
% 0.43/0.75 % --inst_prop_sim_given true
% 0.43/0.75 % --inst_prop_sim_new false
% 0.43/0.75 % --inst_orphan_elimination true
% 0.43/0.75 % --inst_learning_loop_flag true
% 0.43/0.75 % --inst_learning_start 3000
% 0.43/0.75 % --inst_learning_factor 2
% 0.43/0.75 % --inst_start_prop_sim_after_learn 3
% 0.43/0.75 % --inst_sel_renew solver
% 0.43/0.75 % --inst_lit_activity_flag true
% 0.43/0.75 % --inst_out_proof true
% 0.43/0.75
% 0.43/0.75 % ------ Resolution Options
% 0.43/0.75
% 0.43/0.75 % --resolution_flag true
% 0.43/0.75 % --res_lit_sel kbo_max
% 0.43/0.75 % --res_to_prop_solver none
% 0.43/0.75 % --res_prop_simpl_new false
% 0.43/0.75 % --res_prop_simpl_given false
% 0.43/0.75 % --res_passive_queue_type priority_queues
% 0.43/0.75 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.43/0.75 % --res_passive_queues_freq [15;5]
% 0.43/0.75 % --res_forward_subs full
% 0.43/0.75 % --res_backward_subs full
% 0.43/0.75 % --res_forward_subs_resolution true
% 0.43/0.75 % --res_backward_subs_resolution true
% 0.43/0.75 % --res_orphan_elimination false
% 0.43/0.75 % --res_time_limit 1000.
% 0.43/0.75 % --res_out_proof true
% 0.43/0.75 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1cfe9f.s
% 0.43/0.75 % --modulo true
% 0.43/0.75
% 0.43/0.75 % ------ Combination Options
% 0.43/0.75
% 0.43/0.75 % --comb_res_mult 1000
% 0.43/0.75 % --comb_inst_mult 300
% 0.43/0.75 % ------
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75 % ------ Proving...
% 0.43/0.75 % warning: shown sat in sat incomplete mode
% 0.43/0.75 %
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75 cnf(c_54,plain,
% 0.43/0.75 ( in(sk1_esk2_4(X0,X1,X2,X3),X0)
% 0.43/0.75 | X2 != cartesian_product2(X0,X1)
% 0.43/0.75 | ~ in(X3,X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_54_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_254,plain,
% 0.43/0.75 ( in(sk1_esk2_4(X0,X1,X2,X3),X0)
% 0.43/0.75 | X2 != cartesian_product2(X0,X1)
% 0.43/0.75 | ~ in(X3,X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_54]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_255,plain,
% 0.43/0.75 ( in(sk1_esk2_4(X0,X1,X2,X3),X0)
% 0.43/0.75 | ~ in(X3,X2)
% 0.43/0.75 | X2 != cartesian_product2(X0,X1) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_254]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_51,plain,
% 0.43/0.75 ( in(sk1_esk3_4(X0,X1,X2,X3),X1)
% 0.43/0.75 | X2 != cartesian_product2(X0,X1)
% 0.43/0.75 | ~ in(X3,X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_55_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_248,plain,
% 0.43/0.75 ( in(sk1_esk3_4(X0,X1,X2,X3),X1)
% 0.43/0.75 | X2 != cartesian_product2(X0,X1)
% 0.43/0.75 | ~ in(X3,X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_51]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_249,plain,
% 0.43/0.75 ( in(sk1_esk3_4(X0,X1,X2,X3),X1)
% 0.43/0.75 | ~ in(X3,X2)
% 0.43/0.75 | X2 != cartesian_product2(X0,X1) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_248]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_48,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | in(sk1_esk4_3(X1,X2,X0),X0)
% 0.43/0.75 | ordered_pair(sk1_esk5_3(X1,X2,X0),sk1_esk6_3(X1,X2,X0)) = sk1_esk4_3(X1,X2,X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_56_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_242,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | in(sk1_esk4_3(X1,X2,X0),X0)
% 0.43/0.75 | ordered_pair(sk1_esk5_3(X1,X2,X0),sk1_esk6_3(X1,X2,X0)) = sk1_esk4_3(X1,X2,X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_48]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_243,plain,
% 0.43/0.75 ( in(sk1_esk4_3(X0,X1,X2),X2)
% 0.43/0.75 | ordered_pair(sk1_esk5_3(X0,X1,X2),sk1_esk6_3(X0,X1,X2)) = sk1_esk4_3(X0,X1,X2)
% 0.43/0.75 | X2 = cartesian_product2(X0,X1) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_242]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_43,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | sk1_esk4_3(X1,X2,X0) != ordered_pair(X3,X4)
% 0.43/0.75 | ~ in(X4,X2)
% 0.43/0.75 | ~ in(X3,X1)
% 0.43/0.75 | ~ in(sk1_esk4_3(X1,X2,X0),X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_57_4) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_232,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | sk1_esk4_3(X1,X2,X0) != ordered_pair(X3,X4)
% 0.43/0.75 | ~ in(X4,X2)
% 0.43/0.75 | ~ in(X3,X1)
% 0.43/0.75 | ~ in(sk1_esk4_3(X1,X2,X0),X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_43]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_233,plain,
% 0.43/0.75 ( ~ in(sk1_esk4_3(X0,X1,X2),X2)
% 0.43/0.75 | ~ in(X3,X1)
% 0.43/0.75 | ~ in(X4,X0)
% 0.43/0.75 | sk1_esk4_3(X0,X1,X2) != ordered_pair(X4,X3)
% 0.43/0.75 | X2 = cartesian_product2(X0,X1) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_232]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_40,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | in(sk1_esk4_3(X1,X2,X0),X0)
% 0.43/0.75 | in(sk1_esk5_3(X1,X2,X0),X1) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_58_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_226,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | in(sk1_esk4_3(X1,X2,X0),X0)
% 0.43/0.75 | in(sk1_esk5_3(X1,X2,X0),X1) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_40]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_227,plain,
% 0.43/0.75 ( in(sk1_esk4_3(X0,X1,X2),X2)
% 0.43/0.75 | in(sk1_esk5_3(X0,X1,X2),X0)
% 0.43/0.75 | X2 = cartesian_product2(X0,X1) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_226]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_34,plain,
% 0.43/0.75 ( X0 = X1 | ~ in(sk1_esk9_2(X0,X1),X1) | ~ in(sk1_esk9_2(X0,X1),X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_60_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_214,plain,
% 0.43/0.75 ( X0 = X1 | ~ in(sk1_esk9_2(X0,X1),X1) | ~ in(sk1_esk9_2(X0,X1),X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_34]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_215,plain,
% 0.43/0.75 ( ~ in(sk1_esk9_2(X0,X1),X1) | ~ in(sk1_esk9_2(X0,X1),X0) | X0 = X1 ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_214]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_28,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | in(ordered_pair(X0,X2),cartesian_product2(X1,X3))
% 0.43/0.75 | ~ in(X2,X3) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_63_1) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_202,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | in(ordered_pair(X0,X2),cartesian_product2(X1,X3))
% 0.43/0.75 | ~ in(X2,X3) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_28]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_203,plain,
% 0.43/0.75 ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
% 0.43/0.75 | ~ in(X0,X2)
% 0.43/0.75 | ~ in(X1,X3) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_202]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_24,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | ~ in(X2,X3)
% 0.43/0.75 | in(X4,X5)
% 0.43/0.75 | X5 != cartesian_product2(X1,X3)
% 0.43/0.75 | X4 != ordered_pair(X0,X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_64_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_194,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | ~ in(X2,X3)
% 0.43/0.75 | in(X4,X5)
% 0.43/0.75 | X5 != cartesian_product2(X1,X3)
% 0.43/0.75 | X4 != ordered_pair(X0,X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_24]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_195,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | ~ in(X2,X3)
% 0.43/0.75 | in(X4,X5)
% 0.43/0.75 | X4 != ordered_pair(X0,X2)
% 0.43/0.75 | X5 != cartesian_product2(X1,X3) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_194]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_23,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | in(X2,X3)
% 0.43/0.75 | X3 != cartesian_product2(X1,X4)
% 0.43/0.75 | X2 != ordered_pair(X0,X5)
% 0.43/0.75 | ~ in(X5,X4) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_64_3) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_192,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | in(X2,X3)
% 0.43/0.75 | X3 != cartesian_product2(X1,X4)
% 0.43/0.75 | X2 != ordered_pair(X0,X5)
% 0.43/0.75 | ~ in(X5,X4) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_23]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_193,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | in(X2,X3)
% 0.43/0.75 | ~ in(X4,X5)
% 0.43/0.75 | X2 != ordered_pair(X0,X4)
% 0.43/0.75 | X3 != cartesian_product2(X1,X5) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_192]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_22,plain,
% 0.43/0.75 ( in(X0,X1)
% 0.43/0.75 | X1 != cartesian_product2(X2,X3)
% 0.43/0.75 | X0 != ordered_pair(X4,X5)
% 0.43/0.75 | ~ in(X5,X3)
% 0.43/0.75 | ~ in(X4,X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_64_4) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_190,plain,
% 0.43/0.75 ( in(X0,X1)
% 0.43/0.75 | X1 != cartesian_product2(X2,X3)
% 0.43/0.75 | X0 != ordered_pair(X4,X5)
% 0.43/0.75 | ~ in(X5,X3)
% 0.43/0.75 | ~ in(X4,X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_22]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_191,plain,
% 0.43/0.75 ( in(X0,X1)
% 0.43/0.75 | ~ in(X2,X3)
% 0.43/0.75 | ~ in(X4,X5)
% 0.43/0.75 | X0 != ordered_pair(X4,X2)
% 0.43/0.75 | X1 != cartesian_product2(X5,X3) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_190]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_16,plain,
% 0.43/0.75 ( X0 = X1 | in(sk1_esk9_2(X0,X1),X1) | in(sk1_esk9_2(X0,X1),X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_66_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_178,plain,
% 0.43/0.75 ( X0 = X1 | in(sk1_esk9_2(X0,X1),X1) | in(sk1_esk9_2(X0,X1),X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_16]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_179,plain,
% 0.43/0.75 ( in(sk1_esk9_2(X0,X1),X1) | in(sk1_esk9_2(X0,X1),X0) | X0 = X1 ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_178]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_60,negated_conjecture,
% 0.43/0.75 ( singleton(ordered_pair(sk2_esk1_0,sk2_esk2_0)) != cartesian_product2(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_4) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_79,negated_conjecture,
% 0.43/0.75 ( singleton(ordered_pair(sk2_esk1_0,sk2_esk2_0)) != cartesian_product2(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_60]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_83,negated_conjecture,
% 0.43/0.75 ( singleton(ordered_pair(sk2_esk1_0,sk2_esk2_0)) != cartesian_product2(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_79]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_84,negated_conjecture,
% 0.43/0.75 ( singleton(ordered_pair(sk2_esk1_0,sk2_esk2_0)) != cartesian_product2(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_83]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_85,negated_conjecture,
% 0.43/0.75 ( singleton(ordered_pair(sk2_esk1_0,sk2_esk2_0)) != cartesian_product2(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_84]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_266,negated_conjecture,
% 0.43/0.75 ( singleton(ordered_pair(sk2_esk1_0,sk2_esk2_0)) != cartesian_product2(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_85]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_57,plain,
% 0.43/0.75 ( ordered_pair(sk1_esk2_4(X0,X1,X2,X3),sk1_esk3_4(X0,X1,X2,X3)) = X3
% 0.43/0.75 | X2 != cartesian_product2(X0,X1)
% 0.43/0.75 | ~ in(X3,X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_53_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_260,plain,
% 0.43/0.75 ( ordered_pair(sk1_esk2_4(X0,X1,X2,X3),sk1_esk3_4(X0,X1,X2,X3)) = X3
% 0.43/0.75 | X2 != cartesian_product2(X0,X1)
% 0.43/0.75 | ~ in(X3,X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_57]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_261,plain,
% 0.43/0.75 ( ~ in(X0,X1)
% 0.43/0.75 | ordered_pair(sk1_esk2_4(X2,X3,X1,X0),sk1_esk3_4(X2,X3,X1,X0)) = X0
% 0.43/0.75 | X1 != cartesian_product2(X2,X3) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_260]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_45,plain,
% 0.43/0.75 ( ~ in(sk1_esk4_3(X0,X1,X2),X2)
% 0.43/0.75 | ~ in(X3,X0)
% 0.43/0.75 | X2 = cartesian_product2(X0,X1)
% 0.43/0.75 | sk1_esk4_3(X0,X1,X2) != ordered_pair(X3,X4)
% 0.43/0.75 | ~ in(X4,X1) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_57_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_236,plain,
% 0.43/0.75 ( ~ in(sk1_esk4_3(X0,X1,X2),X2)
% 0.43/0.75 | ~ in(X3,X0)
% 0.43/0.75 | X2 = cartesian_product2(X0,X1)
% 0.43/0.75 | sk1_esk4_3(X0,X1,X2) != ordered_pair(X3,X4)
% 0.43/0.75 | ~ in(X4,X1) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_45]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_237,plain,
% 0.43/0.75 ( ~ in(sk1_esk4_3(X0,X1,X2),X2)
% 0.43/0.75 | ~ in(X3,X0)
% 0.43/0.75 | ~ in(X4,X1)
% 0.43/0.75 | sk1_esk4_3(X0,X1,X2) != ordered_pair(X3,X4)
% 0.43/0.75 | X2 = cartesian_product2(X0,X1) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_236]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_37,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | in(sk1_esk4_3(X1,X2,X0),X0)
% 0.43/0.75 | in(sk1_esk6_3(X1,X2,X0),X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_59_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_220,plain,
% 0.43/0.75 ( X0 = cartesian_product2(X1,X2)
% 0.43/0.75 | in(sk1_esk4_3(X1,X2,X0),X0)
% 0.43/0.75 | in(sk1_esk6_3(X1,X2,X0),X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_37]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_221,plain,
% 0.43/0.75 ( in(sk1_esk6_3(X0,X1,X2),X1)
% 0.43/0.75 | in(sk1_esk4_3(X0,X1,X2),X2)
% 0.43/0.75 | X2 = cartesian_product2(X0,X1) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_220]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_35,plain,
% 0.43/0.75 ( ~ in(sk1_esk9_2(X0,X1),X0) | X0 = X1 | ~ in(sk1_esk9_2(X0,X1),X1) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_60_1) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_216,plain,
% 0.43/0.75 ( ~ in(sk1_esk9_2(X0,X1),X0) | X0 = X1 | ~ in(sk1_esk9_2(X0,X1),X1) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_35]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_217,plain,
% 0.43/0.75 ( ~ in(sk1_esk9_2(X0,X1),X0) | ~ in(sk1_esk9_2(X0,X1),X1) | X0 = X1 ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_216]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_32,plain,
% 0.43/0.75 ( in(X0,X1) | ~ in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_61_1) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_210,plain,
% 0.43/0.75 ( in(X0,X1) | ~ in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_32]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_211,plain,
% 0.43/0.75 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) | in(X0,X2) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_210]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_30,plain,
% 0.43/0.75 ( in(X0,X1) | ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_62_1) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_206,plain,
% 0.43/0.75 ( in(X0,X1) | ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_30]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_207,plain,
% 0.43/0.75 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) | in(X1,X3) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_206]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_27,plain,
% 0.43/0.75 ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
% 0.43/0.75 | ~ in(X1,X3)
% 0.43/0.75 | ~ in(X0,X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_63_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_200,plain,
% 0.43/0.75 ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
% 0.43/0.75 | ~ in(X1,X3)
% 0.43/0.75 | ~ in(X0,X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_27]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_19,plain,
% 0.43/0.75 ( X0 = singleton(X1)
% 0.43/0.75 | sk1_esk1_2(X1,X0) != X1
% 0.43/0.75 | ~ in(sk1_esk1_2(X1,X0),X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_65_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_184,plain,
% 0.43/0.75 ( X0 = singleton(X1)
% 0.43/0.75 | sk1_esk1_2(X1,X0) != X1
% 0.43/0.75 | ~ in(sk1_esk1_2(X1,X0),X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_19]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_185,plain,
% 0.43/0.75 ( ~ in(sk1_esk1_2(X0,X1),X1)
% 0.43/0.75 | sk1_esk1_2(X0,X1) != X0
% 0.43/0.75 | X1 = singleton(X0) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_184]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_17,plain,
% 0.43/0.75 ( in(sk1_esk9_2(X0,X1),X0) | X0 = X1 | in(sk1_esk9_2(X0,X1),X1) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_66_1) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_180,plain,
% 0.43/0.75 ( in(sk1_esk9_2(X0,X1),X0) | X0 = X1 | in(sk1_esk9_2(X0,X1),X1) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_17]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_181,plain,
% 0.43/0.75 ( in(sk1_esk9_2(X0,X1),X0) | in(sk1_esk9_2(X0,X1),X1) | X0 = X1 ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_180]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_13,plain,
% 0.43/0.75 ( X0 = singleton(X1)
% 0.43/0.75 | sk1_esk1_2(X1,X0) = X1
% 0.43/0.75 | in(sk1_esk1_2(X1,X0),X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_67_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_172,plain,
% 0.43/0.75 ( X0 = singleton(X1)
% 0.43/0.75 | sk1_esk1_2(X1,X0) = X1
% 0.43/0.75 | in(sk1_esk1_2(X1,X0),X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_13]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_173,plain,
% 0.43/0.75 ( in(sk1_esk1_2(X0,X1),X1)
% 0.43/0.75 | sk1_esk1_2(X0,X1) = X0
% 0.43/0.75 | X1 = singleton(X0) ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_172]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_11,plain,
% 0.43/0.75 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_70_1) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_168,plain,
% 0.43/0.75 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_11]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_8,plain,
% 0.43/0.75 ( X0 = X1 | X2 != singleton(X1) | ~ in(X0,X2) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_71_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_162,plain,
% 0.43/0.75 ( X0 = X1 | X2 != singleton(X1) | ~ in(X0,X2) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_8]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_163,plain,
% 0.43/0.75 ( ~ in(X0,X1) | X1 != singleton(X2) | X0 = X2 ),
% 0.43/0.75 inference(rewriting,[status(thm)],[c_162]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_5,plain,
% 0.43/0.75 ( in(X0,X1) | X1 != singleton(X2) | X0 != X2 ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_73_2) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_156,plain,
% 0.43/0.75 ( in(X0,X1) | X1 != singleton(X2) | X0 != X2 ),
% 0.43/0.75 inference(copy,[status(esa)],[c_5]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_4,plain,
% 0.43/0.75 ( ~ empty(ordered_pair(X0,X1)) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_69_0) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_154,plain,
% 0.43/0.75 ( ~ empty(ordered_pair(X0,X1)) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_4]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_3,plain,
% 0.43/0.75 ( ~ empty(sk1_esk8_0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_74_0) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_152,plain,
% 0.43/0.75 ( ~ empty(sk1_esk8_0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_3]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_1,plain,
% 0.43/0.75 ( unordered_pair(X0,X1) = unordered_pair(X1,X0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_72_0) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_149,plain,
% 0.43/0.75 ( unordered_pair(X0,X1) = unordered_pair(X1,X0) ),
% 0.43/0.75 inference(copy,[status(esa)],[c_1]) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_0,plain,
% 0.43/0.75 ( empty(sk1_esk7_0) ),
% 0.43/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_602ec5.p', c_0_75_0) ).
% 0.43/0.75
% 0.43/0.75 cnf(c_147,plain,( empty(sk1_esk7_0) ),inference(copy,[status(esa)],[c_0]) ).
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75 % ------ Statistics
% 0.43/0.75
% 0.43/0.75 % ------ General
% 0.43/0.75
% 0.43/0.75 % num_of_input_clauses: 61
% 0.43/0.75 % num_of_input_neg_conjectures: 1
% 0.43/0.75 % num_of_splits: 0
% 0.43/0.75 % num_of_split_atoms: 0
% 0.43/0.75 % num_of_sem_filtered_clauses: 0
% 0.43/0.75 % num_of_subtypes: 0
% 0.43/0.75 % monotx_restored_types: 0
% 0.43/0.75 % sat_num_of_epr_types: 0
% 0.43/0.75 % sat_num_of_non_cyclic_types: 0
% 0.43/0.75 % sat_guarded_non_collapsed_types: 0
% 0.43/0.75 % is_epr: 0
% 0.43/0.75 % is_horn: 0
% 0.43/0.75 % has_eq: 1
% 0.43/0.75 % num_pure_diseq_elim: 0
% 0.43/0.75 % simp_replaced_by: 0
% 0.43/0.75 % res_preprocessed: 2
% 0.43/0.75 % prep_upred: 0
% 0.43/0.75 % prep_unflattend: 0
% 0.43/0.75 % pred_elim_cands: 0
% 0.43/0.75 % pred_elim: 0
% 0.43/0.75 % pred_elim_cl: 0
% 0.43/0.75 % pred_elim_cycles: 0
% 0.43/0.75 % forced_gc_time: 0
% 0.43/0.75 % gc_basic_clause_elim: 0
% 0.43/0.75 % parsing_time: 0.003
% 0.43/0.75 % sem_filter_time: 0.
% 0.43/0.75 % pred_elim_time: 0.
% 0.43/0.75 % out_proof_time: 0.
% 0.43/0.75 % monotx_time: 0.
% 0.43/0.75 % subtype_inf_time: 0.
% 0.43/0.75 % unif_index_cands_time: 0.
% 0.43/0.75 % unif_index_add_time: 0.
% 0.43/0.75 % total_time: 0.156
% 0.43/0.75 % num_of_symbols: 42
% 0.43/0.75 % num_of_terms: 242
% 0.43/0.75
% 0.43/0.75 % ------ Propositional Solver
% 0.43/0.75
% 0.43/0.75 % prop_solver_calls: 1
% 0.43/0.75 % prop_fast_solver_calls: 3
% 0.43/0.75 % prop_num_of_clauses: 58
% 0.43/0.75 % prop_preprocess_simplified: 188
% 0.43/0.75 % prop_fo_subsumed: 0
% 0.43/0.75 % prop_solver_time: 0.
% 0.43/0.75 % prop_fast_solver_time: 0.
% 0.43/0.75 % prop_unsat_core_time: 0.
% 0.43/0.75
% 0.43/0.75 % ------ QBF
% 0.43/0.75
% 0.43/0.75 % qbf_q_res: 0
% 0.43/0.75 % qbf_num_tautologies: 0
% 0.43/0.75 % qbf_prep_cycles: 0
% 0.43/0.75
% 0.43/0.75 % ------ BMC1
% 0.43/0.75
% 0.43/0.75 % bmc1_current_bound: -1
% 0.43/0.75 % bmc1_last_solved_bound: -1
% 0.43/0.75 % bmc1_unsat_core_size: -1
% 0.43/0.75 % bmc1_unsat_core_parents_size: -1
% 0.43/0.75 % bmc1_merge_next_fun: 0
% 0.43/0.75 % bmc1_unsat_core_clauses_time: 0.
% 0.43/0.75
% 0.43/0.75 % ------ Instantiation
% 0.43/0.75
% 0.43/0.75 % inst_num_of_clauses: 60
% 0.43/0.75 % inst_num_in_passive: 0
% 0.43/0.75 % inst_num_in_active: 0
% 0.43/0.75 % inst_num_in_unprocessed: 61
% 0.43/0.75 % inst_num_of_loops: 0
% 0.43/0.75 % inst_num_of_learning_restarts: 0
% 0.43/0.75 % inst_num_moves_active_passive: 0
% 0.43/0.75 % inst_lit_activity: 0
% 0.43/0.75 % inst_lit_activity_moves: 0
% 0.43/0.75 % inst_num_tautologies: 0
% 0.43/0.75 % inst_num_prop_implied: 0
% 0.43/0.75 % inst_num_existing_simplified: 0
% 0.43/0.75 % inst_num_eq_res_simplified: 0
% 0.43/0.75 % inst_num_child_elim: 0
% 0.43/0.75 % inst_num_of_dismatching_blockings: 0
% 0.43/0.75 % inst_num_of_non_proper_insts: 0
% 0.43/0.75 % inst_num_of_duplicates: 0
% 0.43/0.75 % inst_inst_num_from_inst_to_res: 0
% 0.43/0.75 % inst_dismatching_checking_time: 0.
% 0.43/0.75
% 0.43/0.75 % ------ Resolution
% 0.43/0.75
% 0.43/0.75 % res_num_of_clauses: 71
% 0.43/0.75 % res_num_in_passive: 0
% 0.43/0.75 % res_num_in_active: 29
% 0.43/0.75 % res_num_of_loops: 2
% 0.43/0.75 % res_forward_subset_subsumed: 31
% 0.43/0.75 % res_backward_subset_subsumed: 0
% 0.43/0.75 % res_forward_subsumed: 0
% 0.43/0.75 % res_backward_subsumed: 0
% 0.43/0.75 % res_forward_subsumption_resolution: 0
% 0.43/0.75 % res_backward_subsumption_resolution: 0
% 0.43/0.75 % res_clause_to_clause_subsumption: 0
% 0.43/0.75 % res_orphan_elimination: 0
% 0.43/0.75 % res_tautology_del: 0
% 0.43/0.75 % res_num_eq_res_simplified: 0
% 0.43/0.75 % res_num_sel_changes: 0
% 0.43/0.75 % res_moves_from_active_to_pass: 0
% 0.43/0.75
% 0.43/0.75 % Status Unknown
% 0.43/0.75 % Last status :
% 0.43/0.75 % SZS status Unknown
%------------------------------------------------------------------------------