TSTP Solution File: ITP208_1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP208_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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  : 300s
% DateTime : Mon May 20 22:16:51 EDT 2024

% Result   : Theorem 36.36s 5.80s
% Output   : CNFRefutation 36.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   60 (  12 unt;  24 typ;   0 def)
%            Number of atoms       :   95 (  38 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  104 (  45   ~;  38   |;   5   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :   15 (   9   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :  115 (   0 sgn 111   !;   4   ?; 115   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    fun_nat_bool: $tType ).

tff(decl_sort2,type,
    fun_nat_fun_nat_bool: $tType ).

tff(decl_sort3,type,
    nat: $tType ).

tff(decl_sort4,type,
    heap_e7401611519738050253t_unit: $tType ).

tff(decl_sort5,type,
    array_a: $tType ).

tff(decl_sort6,type,
    heap_Time_Heap_nat: $tType ).

tff(decl_sort7,type,
    bool: $tType ).

tff(decl_149,type,
    array_len_a: array_a > heap_Time_Heap_nat ).

tff(decl_153,type,
    array_length_a: ( heap_e7401611519738050253t_unit * array_a ) > nat ).

tff(decl_457,type,
    one_one_nat: nat ).

tff(decl_526,type,
    heap_Time_effect_nat: ( heap_Time_Heap_nat * heap_e7401611519738050253t_unit * heap_e7401611519738050253t_unit ) > fun_nat_fun_nat_bool ).

tff(decl_739,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(decl_1028,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(decl_1044,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(decl_1145,type,
    pp: bool > $o ).

tff(decl_1146,type,
    a: array_a ).

tff(decl_1147,type,
    h: heap_e7401611519738050253t_unit ).

tff(decl_1148,type,
    h2: heap_e7401611519738050253t_unit ).

tff(decl_1149,type,
    n: nat ).

tff(decl_1150,type,
    r: nat ).

tff(decl_1151,type,
    thesis: $o ).

tff(decl_1213,type,
    esk62_1: fun_nat_bool > nat ).

tff(decl_1214,type,
    esk63_2: ( fun_nat_bool * nat ) > nat ).

tff(decl_1215,type,
    esk64_1: fun_nat_bool > nat ).

tff(fact_1327_exists__least__iff,axiom,
    ! [X2089: fun_nat_bool] :
      ( ? [X2090: nat] : pp(aa_nat_bool(X2089,X2090))
    <=> ? [X2091: nat] :
          ( pp(aa_nat_bool(X2089,X2091))
          & ! [X1055: nat] :
              ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1055),X2091))
             => ~ pp(aa_nat_bool(X2089,X1055)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1327_exists__least__iff) ).

tff(fact_2_effect__lengthI,axiom,
    ! [X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: array_a,X5: nat] :
      ( ( X1 = X2 )
     => ( ( X3 = array_length_a(X2,X4) )
       => ( ( X5 = one_one_nat )
         => pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X4),X2,X1),X3),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_effect__lengthI) ).

tff(fact_55_effect__deterministic_I2_J,axiom,
    ! [X12: heap_Time_Heap_nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X17: nat,X5: nat,X14: heap_e7401611519738050253t_unit,X15: nat,X16: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X2,X1),X17),X5))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X2,X14),X15),X16))
       => ( X1 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_effect__deterministic_I2_J) ).

fof(conj_1,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(fact_0_assms,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h,h2),r),n)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).

tff(fact_1_that,axiom,
    ( ( r = array_length_a(h2,a) )
   => ( ( h2 = h )
     => ( ( n = one_one_nat )
       => thesis ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_that) ).

tff(fact_54_effect__deterministic_I3_J,axiom,
    ! [X12: heap_Time_Heap_nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X13: nat,X5: nat,X14: heap_e7401611519738050253t_unit,X15: nat,X16: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X2,X1),X13),X5))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X2,X14),X15),X16))
       => ( X5 = X16 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_effect__deterministic_I3_J) ).

tff(fact_56_effect__deterministic_I1_J,axiom,
    ! [X12: heap_Time_Heap_nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X18: nat,X5: nat,X14: heap_e7401611519738050253t_unit,X15: nat,X16: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X2,X1),X18),X5))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X2,X14),X15),X16))
       => ( X18 = X15 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_effect__deterministic_I1_J) ).

tff(c_0_8,plain,
    ! [X2089: fun_nat_bool] :
      ( ? [X2090: nat] : pp(aa_nat_bool(X2089,X2090))
    <=> ? [X2091: nat] :
          ( pp(aa_nat_bool(X2089,X2091))
          & ! [X1055: nat] :
              ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1055),X2091))
             => ~ pp(aa_nat_bool(X2089,X1055)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_1327_exists__least__iff]) ).

tff(c_0_9,plain,
    ! [X14332: heap_e7401611519738050253t_unit,X14333: heap_e7401611519738050253t_unit,X14334: nat,X14335: array_a,X14336: nat] :
      ( ( X14332 != X14333 )
      | ( X14334 != array_length_a(X14333,X14335) )
      | ( X14336 != one_one_nat )
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X14335),X14333,X14332),X14334),X14336)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_effect__lengthI])])]) ).

tff(c_0_10,plain,
    ! [X15871: heap_Time_Heap_nat,X15872: heap_e7401611519738050253t_unit,X15873: heap_e7401611519738050253t_unit,X15874: nat,X15875: nat,X15876: heap_e7401611519738050253t_unit,X15877: nat,X15878: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X15871,X15872,X15873),X15874),X15875))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X15871,X15872,X15876),X15877),X15878))
      | ( X15873 = X15876 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_55_effect__deterministic_I2_J])])]) ).

tff(c_0_11,plain,
    ! [X14931: fun_nat_bool,X14932: nat,X14934: nat,X14935: fun_nat_bool,X14936: nat] :
      ( ( pp(aa_nat_bool(X14931,esk62_1(X14931)))
        | ~ pp(aa_nat_bool(X14931,X14932)) )
      & ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X14934),esk62_1(X14931)))
        | ~ pp(aa_nat_bool(X14931,X14934))
        | ~ pp(aa_nat_bool(X14931,X14932)) )
      & ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,esk63_2(X14935,X14936)),X14936))
        | ~ pp(aa_nat_bool(X14935,X14936))
        | pp(aa_nat_bool(X14935,esk64_1(X14935))) )
      & ( pp(aa_nat_bool(X14935,esk63_2(X14935,X14936)))
        | ~ pp(aa_nat_bool(X14935,X14936))
        | pp(aa_nat_bool(X14935,esk64_1(X14935))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).

tcf(c_0_12,plain,
    ! [X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: array_a,X5: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X4),X2,X1),X3),X5))
      | ( X1 != X2 )
      | ( X3 != array_length_a(X2,X4) )
      | ( X5 != one_one_nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,negated_conjecture,
    ~ thesis,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).

tcf(c_0_14,plain,
    ! [X3: nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X5: nat,X6: nat,X14: heap_e7401611519738050253t_unit,X12: heap_Time_Heap_nat,X11: nat] :
      ( ( X2 = X14 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X1,X2),X3),X5))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X1,X14),X6),X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

tcf(c_0_15,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h,h2),r),n)),
    inference(split_conjunct,[status(thm)],[fact_0_assms]) ).

tcf(c_0_16,plain,
    ! [X41: fun_nat_bool,X3: nat] :
      ( pp(aa_nat_bool(X41,esk62_1(X41)))
      | ~ pp(aa_nat_bool(X41,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

tcf(c_0_17,plain,
    ! [X1: heap_e7401611519738050253t_unit,X4: array_a] : pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X4),X1,X1),array_length_a(X1,X4)),one_one_nat)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])])]) ).

tff(c_0_18,plain,
    ( ( r != array_length_a(h2,a) )
    | ( h2 != h )
    | ( n != one_one_nat )
    | thesis ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_that])]) ).

fof(c_0_19,negated_conjecture,
    ~ thesis,
    inference(fof_nnf,[status(thm)],[c_0_13]) ).

tff(c_0_20,plain,
    ! [X15863: heap_Time_Heap_nat,X15864: heap_e7401611519738050253t_unit,X15865: heap_e7401611519738050253t_unit,X15866: nat,X15867: nat,X15868: heap_e7401611519738050253t_unit,X15869: nat,X15870: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X15863,X15864,X15865),X15866),X15867))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X15863,X15864,X15868),X15869),X15870))
      | ( X15867 = X15870 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_54_effect__deterministic_I3_J])])]) ).

tcf(c_0_21,plain,
    ! [X1: heap_e7401611519738050253t_unit,X3: nat,X5: nat] :
      ( ( X1 = h2 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h,X1),X3),X5)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

tcf(c_0_22,plain,
    ! [X1: heap_e7401611519738050253t_unit,X4: array_a] : pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X4),X1,X1),array_length_a(X1,X4)),esk62_1(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X4),X1,X1),array_length_a(X1,X4))))),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

tcf(c_0_23,plain,
    ( thesis
    | ( r != array_length_a(h2,a) )
    | ( h2 != h )
    | ( n != one_one_nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ~ thesis,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

tcf(c_0_25,plain,
    ! [X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X3: nat,X5: nat,X6: nat,X14: heap_e7401611519738050253t_unit,X12: heap_Time_Heap_nat,X11: nat] :
      ( ( X5 = X11 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X1,X2),X3),X5))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X1,X14),X6),X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tcf(c_0_26,plain,
    h = h2,
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

tff(c_0_27,plain,
    ! [X15879: heap_Time_Heap_nat,X15880: heap_e7401611519738050253t_unit,X15881: heap_e7401611519738050253t_unit,X15882: nat,X15883: nat,X15884: heap_e7401611519738050253t_unit,X15885: nat,X15886: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X15879,X15880,X15881),X15882),X15883))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X15879,X15880,X15884),X15885),X15886))
      | ( X15882 = X15885 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_56_effect__deterministic_I1_J])])]) ).

tcf(c_0_28,plain,
    ( ( array_length_a(h2,a) != r )
    | ( h != h2 )
    | ( n != one_one_nat ) ),
    inference(sr,[status(thm)],[c_0_23,c_0_24]) ).

tcf(c_0_29,plain,
    ! [X1: heap_e7401611519738050253t_unit,X5: nat,X3: nat] :
      ( ( X3 = n )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h2,X1),X5),X3)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_26]) ).

tcf(c_0_30,plain,
    ! [X2: heap_e7401611519738050253t_unit,X5: nat,X3: nat,X1: heap_e7401611519738050253t_unit,X6: nat,X14: heap_e7401611519738050253t_unit,X12: heap_Time_Heap_nat,X11: nat] :
      ( ( X3 = X6 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X1,X2),X3),X5))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X12,X1,X14),X6),X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

tcf(c_0_31,plain,
    ( ( array_length_a(h2,a) != r )
    | ( n != one_one_nat ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_26])]) ).

tcf(c_0_32,plain,
    n = one_one_nat,
    inference(spm,[status(thm)],[c_0_29,c_0_17]) ).

tcf(c_0_33,plain,
    ! [X1: heap_e7401611519738050253t_unit,X3: nat,X5: nat] :
      ( ( X3 = r )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h2,X1),X3),X5)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_15]),c_0_26]) ).

tcf(c_0_34,plain,
    array_length_a(h2,a) != r,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_35,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ITP208_1 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n012.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    : 300
% 0.13/0.34  % DateTime   : Sat May 18 16:11:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.36/5.80  # Version: 3.1.0
% 36.36/5.80  # Preprocessing class: FMLLSMLLSSSNFFN.
% 36.36/5.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.36/5.80  # Starting new_bool_3 with 900s (3) cores
% 36.36/5.80  # Starting new_bool_1 with 900s (3) cores
% 36.36/5.80  # Starting sh5l with 300s (1) cores
% 36.36/5.80  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 36.36/5.80  # new_bool_3 with pid 17892 completed with status 0
% 36.36/5.80  # Result found by new_bool_3
% 36.36/5.80  # Preprocessing class: FMLLSMLLSSSNFFN.
% 36.36/5.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.36/5.80  # Starting new_bool_3 with 900s (3) cores
% 36.36/5.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 36.36/5.80  # Search class: FGHSM-SSLM31-DFFFFFNN
% 36.36/5.80  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 36.36/5.80  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 487s (1) cores
% 36.36/5.80  # Starting new_bool_3 with 91s (1) cores
% 36.36/5.80  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 82s (1) cores
% 36.36/5.80  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 17905 completed with status 0
% 36.36/5.80  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 36.36/5.80  # Preprocessing class: FMLLSMLLSSSNFFN.
% 36.36/5.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.36/5.80  # Starting new_bool_3 with 900s (3) cores
% 36.36/5.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 36.36/5.80  # Search class: FGHSM-SSLM31-DFFFFFNN
% 36.36/5.80  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 36.36/5.80  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 487s (1) cores
% 36.36/5.80  # Starting new_bool_3 with 91s (1) cores
% 36.36/5.80  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 82s (1) cores
% 36.36/5.80  # Preprocessing time       : 0.030 s
% 36.36/5.80  # Presaturation interreduction done
% 36.36/5.80  
% 36.36/5.80  # Proof found!
% 36.36/5.80  # SZS status Theorem
% 36.36/5.80  # SZS output start CNFRefutation
% See solution above
% 36.36/5.80  # Parsed axioms                        : 10768
% 36.36/5.80  # Removed by relevancy pruning/SinE    : 10137
% 36.36/5.80  # Initial clauses                      : 1177
% 36.36/5.80  # Removed in clause preprocessing      : 33
% 36.36/5.80  # Initial clauses in saturation        : 1144
% 36.36/5.80  # Processed clauses                    : 14295
% 36.36/5.80  # ...of these trivial                  : 168
% 36.36/5.80  # ...subsumed                          : 9987
% 36.36/5.80  # ...remaining for further processing  : 4140
% 36.36/5.80  # Other redundant clauses eliminated   : 1160
% 36.36/5.80  # Clauses deleted for lack of memory   : 0
% 36.36/5.80  # Backward-subsumed                    : 119
% 36.36/5.80  # Backward-rewritten                   : 24
% 36.36/5.80  # Generated clauses                    : 154558
% 36.36/5.80  # ...of the previous two non-redundant : 145729
% 36.36/5.80  # ...aggressively subsumed             : 0
% 36.36/5.80  # Contextual simplify-reflections      : 33
% 36.36/5.80  # Paramodulations                      : 153379
% 36.36/5.80  # Factorizations                       : 14
% 36.36/5.80  # NegExts                              : 0
% 36.36/5.80  # Equation resolutions                 : 1179
% 36.36/5.80  # Disequality decompositions           : 0
% 36.36/5.80  # Total rewrite steps                  : 22707
% 36.36/5.80  # ...of those cached                   : 19909
% 36.36/5.80  # Propositional unsat checks           : 0
% 36.36/5.80  #    Propositional check models        : 0
% 36.36/5.80  #    Propositional check unsatisfiable : 0
% 36.36/5.80  #    Propositional clauses             : 0
% 36.36/5.80  #    Propositional clauses after purity: 0
% 36.36/5.80  #    Propositional unsat core size     : 0
% 36.36/5.80  #    Propositional preprocessing time  : 0.000
% 36.36/5.80  #    Propositional encoding time       : 0.000
% 36.36/5.80  #    Propositional solver time         : 0.000
% 36.36/5.80  #    Success case prop preproc time    : 0.000
% 36.36/5.80  #    Success case prop encoding time   : 0.000
% 36.36/5.80  #    Success case prop solver time     : 0.000
% 36.36/5.80  # Current number of processed clauses  : 3238
% 36.36/5.80  #    Positive orientable unit clauses  : 227
% 36.36/5.80  #    Positive unorientable unit clauses: 7
% 36.36/5.80  #    Negative unit clauses             : 920
% 36.36/5.80  #    Non-unit-clauses                  : 2084
% 36.36/5.80  # Current number of unprocessed clauses: 132489
% 36.36/5.80  # ...number of literals in the above   : 449952
% 36.36/5.80  # Current number of archived formulas  : 0
% 36.36/5.80  # Current number of archived clauses   : 784
% 36.36/5.80  # Clause-clause subsumption calls (NU) : 743724
% 36.36/5.80  # Rec. Clause-clause subsumption calls : 522009
% 36.36/5.80  # Non-unit clause-clause subsumptions  : 4872
% 36.36/5.80  # Unit Clause-clause subsumption calls : 570732
% 36.36/5.80  # Rewrite failures with RHS unbound    : 0
% 36.36/5.80  # BW rewrite match attempts            : 7695
% 36.36/5.80  # BW rewrite match successes           : 105
% 36.36/5.80  # Condensation attempts                : 0
% 36.36/5.80  # Condensation successes               : 0
% 36.36/5.80  # Termbank termtop insertions          : 3267348
% 36.36/5.80  # Search garbage collected termcells   : 114218
% 36.36/5.80  
% 36.36/5.80  # -------------------------------------------------
% 36.36/5.80  # User time                : 4.364 s
% 36.36/5.80  # System time              : 0.152 s
% 36.36/5.80  # Total time               : 4.516 s
% 36.36/5.80  # Maximum resident set size: 25308 pages
% 36.36/5.80  
% 36.36/5.80  # -------------------------------------------------
% 36.36/5.80  # User time                : 13.505 s
% 36.36/5.80  # System time              : 0.293 s
% 36.36/5.80  # Total time               : 13.798 s
% 36.36/5.80  # Maximum resident set size: 22004 pages
% 36.36/5.80  % E---3.1 exiting
% 36.36/5.80  % E exiting
%------------------------------------------------------------------------------