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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV997_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:24:42 PM UTC 2026

% Result   : Theorem 1.36s 1.16s
% Output   : CNFRefutation 1.36s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f16ERROR: Could not build tree for root c_656ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    z1: $int ).

tff(func_def_1,type,
    z2: $int ).

tff(func_def_2,type,
    z3: $int ).

tff(func_def_3,type,
    z4: $int ).

tff(func_def_4,type,
    a: $int > $int ).

tff(func_def_5,type,
    b: $int > $int ).

tff(f17,plain,
    ~ ( ( ! [X14: $int,X15: $int,X16: $int] :
            ~ ( $less(X15,X14)
              & $less(b(X15),3)
              & ( 8 = a(X16) )
              & ( 10 = a(X15) )
              & ( 7 = a(X14) )
              & ( X15 != X16 )
              & ( X14 != X16 )
              & ( X14 != X15 ) )
        & ! [X11: $int,X12: $int,X13: $int] :
            ~ ( $less(X12,X11)
              & ( 5 = b(X13) )
              & $less(b(X12),3)
              & ( 10 = a(X12) )
              & ( 6 = a(X11) )
              & ( X12 != X13 )
              & ( X11 != X13 )
              & ( X11 != X12 ) )
        & ! [X8: $int,X9: $int,X10: $int] :
            ~ ( $less(X9,X8)
              & ( 5 = b(X10) )
              & $less(b(X9),3)
              & ( 10 = a(X9) )
              & ( 7 = a(X8) )
              & ( X9 != X10 )
              & ( X8 != X10 )
              & ( X8 != X9 ) )
        & ! [X6: $int,X7: $int] :
            ~ ( $less(X7,X6)
              & $less(b(X7),3)
              & ( 10 = a(X7) )
              & ( 8 = a(X6) )
              & ( X6 != X7 ) )
        & ! [X4: $int,X5: $int] :
            ~ ( $less(X5,X4)
              & $less(b(X5),3)
              & ( 10 = a(X5) )
              & ( 9 = a(X4) )
              & ( X4 != X5 ) )
        & ! [X2: $int,X3: $int] :
            ~ ( ( 10 = a(X3) )
              & ( 10 = a(X2) )
              & ( X2 != X3 ) )
        & ( z3 != z4 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X1: $int] :
            ( ~ $less(5,b(X1))
            & ~ $less(b(X1),1) )
        & ! [X0: $int] :
            ( ~ $less(12,a(X0))
            & ~ $less(a(X0),1) ) )
     => ~ ( $less(z2,z1)
          & ( b(z3) = 5 )
          & $less(b(z2),3)
          & ( a(z3) = 1 )
          & ( a(z2) = 10 )
          & ( a(z1) = 6 ) ) ),
    inference(true_and_false_elimination,[],[f16]) ).

tff(f18,plain,
    ( ! [X14: $int,X15: $int,X16: $int] :
        ( ~ $less(X15,X14)
        | ~ $less(b(X15),3)
        | ( 8 != a(X16) )
        | ( 10 != a(X15) )
        | ( 7 != a(X14) )
        | ( X15 = X16 )
        | ( X14 = X16 )
        | ( X14 = X15 ) )
    & ! [X11: $int,X12: $int,X13: $int] :
        ( ~ $less(X12,X11)
        | ( 5 != b(X13) )
        | ~ $less(b(X12),3)
        | ( 10 != a(X12) )
        | ( 6 != a(X11) )
        | ( X12 = X13 )
        | ( X11 = X13 )
        | ( X11 = X12 ) )
    & ! [X8: $int,X9: $int,X10: $int] :
        ( ~ $less(X9,X8)
        | ( 5 != b(X10) )
        | ~ $less(b(X9),3)
        | ( 10 != a(X9) )
        | ( 7 != a(X8) )
        | ( X9 = X10 )
        | ( X8 = X10 )
        | ( X8 = X9 ) )
    & ! [X6: $int,X7: $int] :
        ( ~ $less(X7,X6)
        | ~ $less(b(X7),3)
        | ( 10 != a(X7) )
        | ( 8 != a(X6) )
        | ( X6 = X7 ) )
    & ! [X4: $int,X5: $int] :
        ( ~ $less(X5,X4)
        | ~ $less(b(X5),3)
        | ( 10 != a(X5) )
        | ( 9 != a(X4) )
        | ( X4 = X5 ) )
    & ! [X2: $int,X3: $int] :
        ( ( 10 != a(X3) )
        | ( 10 != a(X2) )
        | ( X2 = X3 ) )
    & ( z3 != z4 )
    & ( z2 != z4 )
    & ( z2 != z3 )
    & ( z1 != z4 )
    & ( z1 != z3 )
    & ( z1 != z2 )
    & ! [X1: $int] :
        ( ~ $less(5,b(X1))
        & ~ $less(b(X1),1) )
    & ! [X0: $int] :
        ( ~ $less(12,a(X0))
        & ~ $less(a(X0),1) )
    & $less(z2,z1)
    & ( b(z3) = 5 )
    & $less(b(z2),3)
    & ( a(z3) = 1 )
    & ( a(z2) = 10 )
    & ( a(z1) = 6 ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f19,plain,
    ( ! [X14: $int,X15: $int,X16: $int] :
        ( ~ $less(X15,X14)
        | ~ $less(b(X15),3)
        | ( 8 != a(X16) )
        | ( 10 != a(X15) )
        | ( 7 != a(X14) )
        | ( X15 = X16 )
        | ( X14 = X16 )
        | ( X14 = X15 ) )
    & ! [X11: $int,X12: $int,X13: $int] :
        ( ~ $less(X12,X11)
        | ( 5 != b(X13) )
        | ~ $less(b(X12),3)
        | ( 10 != a(X12) )
        | ( 6 != a(X11) )
        | ( X12 = X13 )
        | ( X11 = X13 )
        | ( X11 = X12 ) )
    & ! [X8: $int,X9: $int,X10: $int] :
        ( ~ $less(X9,X8)
        | ( 5 != b(X10) )
        | ~ $less(b(X9),3)
        | ( 10 != a(X9) )
        | ( 7 != a(X8) )
        | ( X9 = X10 )
        | ( X8 = X10 )
        | ( X8 = X9 ) )
    & ! [X6: $int,X7: $int] :
        ( ~ $less(X7,X6)
        | ~ $less(b(X7),3)
        | ( 10 != a(X7) )
        | ( 8 != a(X6) )
        | ( X6 = X7 ) )
    & ! [X4: $int,X5: $int] :
        ( ~ $less(X5,X4)
        | ~ $less(b(X5),3)
        | ( 10 != a(X5) )
        | ( 9 != a(X4) )
        | ( X4 = X5 ) )
    & ! [X2: $int,X3: $int] :
        ( ( 10 != a(X3) )
        | ( 10 != a(X2) )
        | ( X2 = X3 ) )
    & ( z3 != z4 )
    & ( z2 != z4 )
    & ( z2 != z3 )
    & ( z1 != z4 )
    & ( z1 != z3 )
    & ( z1 != z2 )
    & ! [X1: $int] :
        ( ~ $less(5,b(X1))
        & ~ $less(b(X1),1) )
    & ! [X0: $int] :
        ( ~ $less(12,a(X0))
        & ~ $less(a(X0),1) )
    & $less(z2,z1)
    & ( b(z3) = 5 )
    & $less(b(z2),3)
    & ( a(z3) = 1 )
    & ( a(z2) = 10 )
    & ( a(z1) = 6 ) ),
    inference(flattening,[],[f18]) ).

tff(f21,plain,
    ! [X11: $int,X12: $int,X13: $int] :
      ( ~ $less(X12,X11)
      | ( 5 != b(X13) )
      | ~ $less(b(X12),3)
      | ( 10 != a(X12) )
      | ( 6 != a(X11) )
      | ( X12 = X13 )
      | ( X11 = X13 )
      | ( X11 = X12 ) ),
    inference(cnf_transformation,[],[f19]) ).

tff(f28,plain,
    z2 != z3,
    inference(cnf_transformation,[],[f19]) ).

tff(f30,plain,
    z1 != z3,
    inference(cnf_transformation,[],[f19]) ).

tff(f31,plain,
    z1 != z2,
    inference(cnf_transformation,[],[f19]) ).

tff(f36,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f19]) ).

tff(f37,plain,
    5 = b(z3),
    inference(cnf_transformation,[],[f19]) ).

tff(f38,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f19]) ).

tff(f40,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f19]) ).

tff(f41,plain,
    6 = a(z1),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_61,negated_conjecture,
    a(z1) = 6,
    inference(cnf_transformation,[],[f41]) ).

tcf(c_62,negated_conjecture,
    a(z2) = 10,
    inference(cnf_transformation,[],[f40]) ).

tcf(c_64,negated_conjecture,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_65,negated_conjecture,
    b(z3) = 5,
    inference(cnf_transformation,[],[f37]) ).

tcf(c_66,negated_conjecture,
    $less(z2,z1),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_71,negated_conjecture,
    z1 != z2,
    inference(cnf_transformation,[],[f31]) ).

tcf(c_72,negated_conjecture,
    z1 != z3,
    inference(cnf_transformation,[],[f30]) ).

tcf(c_74,negated_conjecture,
    z2 != z3,
    inference(cnf_transformation,[],[f28]) ).

tcf(c_81,negated_conjecture,
    ! [X0_int: $int,X1_int: $int,X2_int: $int] :
      ( ( X1_int = X2_int )
      | ( X0_int = X2_int )
      | ( X0_int = X1_int )
      | ~ $less(X1_int,X0_int)
      | ~ $less(b(X1_int),3)
      | ( b(X2_int) != 5 )
      | ( a(X1_int) != 10 )
      | ( a(X0_int) != 6 ) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_382,plain,
    ! [X0_int: $int,X1_int: $int] :
      ( ( X1_int = z3 )
      | ( X1_int = X0_int )
      | ( X0_int = z3 )
      | ~ $less(X0_int,X1_int)
      | ~ $less(b(X0_int),3)
      | ( a(X1_int) != 6 )
      | ( a(X0_int) != 10 ) ),
    inference(resolution,[status(thm)],[c_81,c_65]) ).

tcf(c_574,plain,
    ! [X0_int: $int] :
      ( ( z1 = z3 )
      | ( z1 = X0_int )
      | ( X0_int = z3 )
      | ~ $less(X0_int,z1)
      | ~ $less(b(X0_int),3)
      | ( a(X0_int) != 10 ) ),
    inference(resolution,[status(thm)],[c_382,c_61]) ).

tcf(c_608,plain,
    ! [X0_int: $int] :
      ( ( a(X0_int) != 10 )
      | ~ $less(b(X0_int),3)
      | ~ $less(X0_int,z1)
      | ( X0_int = z3 )
      | ( z1 = X0_int ) ),
    inference(global_subsumption_just,[status(thm)],[c_574,c_72,c_574]) ).

tcf(c_609,plain,
    ! [X0_int: $int] :
      ( ( z1 = X0_int )
      | ( X0_int = z3 )
      | ~ $less(X0_int,z1)
      | ~ $less(b(X0_int),3)
      | ( a(X0_int) != 10 ) ),
    inference(renaming,[status(thm)],[c_608]) ).

tcf(c_655,plain,
    ( ( z2 = z3 )
    | ( z1 = z2 )
    | ~ $less(z2,z1)
    | ~ $less(b(z2),3) ),
    inference(resolution,[status(thm)],[c_609,c_62]) ).

tcf(c_656,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_655,c_71,c_74,c_64,c_66]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV997_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n001.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 21:35:39 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.39  Running TFA theorem proving
% 0.10/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.40  
% 0.10/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.40  
% 0.10/0.40  % Detected problem language: tptp
% 0.10/0.42  % Proving...
% 1.36/1.16  % SZS status Started for theBenchmark.p
% 1.36/1.16  ERROR - "ProverProcess:heur/schedule_none:304.99998021125793" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 1.36/1.16  Fatal error: exception Failure("undefined enum value")
% 1.36/1.16  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --schedule none --sub_typing false --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 101.67 --show_fool true" --time_out_real 305.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/h0fslbdn 2>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/h0fslbdn_error
% 1.36/1.16  ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 1.36/1.16  Fatal error: exception Failure("undefined enum value")
% 1.36/1.16  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 0 --comb_sup_mult 6 --conj_cone_tolerance 1.8969679945890683 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 3.67 --show_fool true" --time_out_real 11.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/ci21hrxm 2>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/ci21hrxm_error
% 1.36/1.16  ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 1.36/1.16  Fatal error: exception Failure("undefined enum value")
% 1.36/1.16  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 0 --comb_sup_mult 0 --conj_cone_tolerance 4.0357851670394345 --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 2048 --inst_lit_activity_flag true --inst_lit_sel "[+split;-sign;-depth]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[+age;+num_lits;-age];[-age;-min_def_symb;+bc_imp_inh]]" --inst_passive_queues_freq "[2;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 1.0 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+split;-ground;-depth]" --inst_start_prop_sim_after_learn 3 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 256 --proof_out true --prop_solver_per_cl 16384 --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 8 --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 1.00 --show_fool true" --time_out_real 3.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/uq8byp5k 2>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/uq8byp5k_error
% 1.36/1.16  ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 1.36/1.16  Fatal error: exception Failure("undefined enum value")
% 1.36/1.16  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 4 --comb_sup_mult 6 --conj_cone_tolerance 1.895766803319499 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_pos_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 128 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 13.33 --show_fool true" --time_out_real 40.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/jmjtn7_m 2>> /export/starexec/sandbox/tmp/iprover_out_2bfme3gs/jmjtn7_m_error
% 1.36/1.16  % SZS status Theorem for theBenchmark.p
% 1.36/1.16  
% 1.36/1.16  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.36/1.16  
% 1.36/1.16  % ------  iProver source info
% 1.36/1.16  
% 1.36/1.16  % git: date: 2026-07-19 20:42:38 +0200
% 1.36/1.16  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.36/1.16  % git: non_committed_changes: false
% 1.36/1.16  
% 1.36/1.16  % ------ Parsing...
% 1.36/1.16  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.36/1.16  % ------ Proving...
% 1.36/1.16  % ------ Problem Properties 
% 1.36/1.16  
% 1.36/1.16  % 
% 1.36/1.16  % clauses                               43
% 1.36/1.16  % conjectures                           22
% 1.36/1.16  % EPR                                   19
% 1.36/1.16  % Horn                                  38
% 1.36/1.16  % unary                                 32
% 1.36/1.16  % binary                                3
% 1.36/1.16  % lits                                  81
% 1.36/1.16  % lits eq                               44
% 1.36/1.16  % fd_pure                               0
% 1.36/1.16  % fd_pseudo                             0
% 1.36/1.16  % fd_cond                               0
% 1.36/1.16  % fd_pseudo_cond                        7
% 1.36/1.16  % AC symbols                            1
% 1.36/1.16  
% 1.36/1.16  % ------ Input Options Time Limit: Unbounded
% 1.36/1.16  
% 1.36/1.16  
% 1.36/1.16  % ------ 
% 1.36/1.16  % Current options:
% 1.36/1.16  % ------ 
% 1.36/1.16  
% 1.36/1.16  
% 1.36/1.16  % 
% 1.36/1.16  
% 1.36/1.16  % ------ Proving...
% 1.36/1.16  % 
% 1.36/1.16  
% 1.36/1.16  % SZS status Theorem for theBenchmark.p
% 1.36/1.16  
% 1.36/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.36/1.16  
% 1.36/1.16  
%------------------------------------------------------------------------------