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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEV667+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 : Thu Sep 24 02:35:24 PM UTC 2026

% Result   : Theorem 54.29s 15.42s
% Output   : CNFRefutation 54.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   56 (  31 unt;   0 def)
%            Number of atoms       :  133 (  24 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  131 (  54   ~;  51   |;   7   &)
%                                         (   3 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   71 (   0 sgn  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(well_defined2,axiom,
    ! [X2594] :
      ( cA___24t(X2594)
     => ! [X2595] :
          ( cA___24t(X2595)
         => ( cR___24a2(X2594,X2595)
           => cS___24a2(cf___24a1(X2594),cf___24a1(X2595)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined2) ).

fof('$adef_f_$a1',axiom,
    ! [X2596] : happ(cf,X2596) = cf___24a1(X2596),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_f_$a1') ).

fof('$adef_S_$a2',axiom,
    ! [X2596,X2597] :
      ( p(happ(happ(cS,X2596),X2597))
    <=> cS___24a2(X2596,X2597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_S_$a2') ).

fof('_HAMMER_GOAL',conjecture,
    ! [X2594] :
      ( cA___24t(X2594)
     => ! [X2595] :
          ( cA___24t(X2595)
         => ( cR___24a2(X2594,X2595)
           => cQuotients_2eInducedFunction2_2eprojf___24a1(X2594) = cQuotients_2eInducedFunction2_2eprojf___24a1(X2595) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

fof('$tdef_B',axiom,
    ! [X2618] :
      ( cB___24t(X2618)
    <=> t(X2618,cB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$tdef_B') ).

fof('$_type_163663',axiom,
    ! [X2242] :
      ( c_24__type__163663___24t(X2242)
    <=> ! [X1] :
          ( cA___24t(X1)
         => cB___24t(happ(X2242,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_163663') ).

fof('Quotients.quotient_projection_collapses_R',axiom,
    ! [X40] :
      ( cType___24t(X40)
     => ! [X110] :
          ( cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X40,X110)
         => ( cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X40,X110)
           => ! [X2590] :
                ( t(X2590,X40)
               => ! [X2591] :
                    ( t(X2591,X40)
                   => ( p(happ(happ(X110,X2590),X2591))
                     => cQuotients_2equotient__projection___24a3(X40,X110,X2590) = cQuotients_2equotient__projection___24a3(X40,X110,X2591) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Quotients.quotient_projection_collapses_R') ).

fof('$adef_Quotients.quotient_projection_$a3',axiom,
    ! [X2596,X2597,X2598] : happ(happ(happ(cQuotients_2equotient__projection,X2596),X2597),X2598) = cQuotients_2equotient__projection___24a3(X2596,X2597,X2598),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Quotients.quotient_projection_$a3') ).

fof('$_def_Quotients.InducedFunction2.projf',axiom,
    ! [X195] : cQuotients_2eInducedFunction2_2eprojf___24a1(X195) = cQuotients_2equotient__projection___24a3(cB,cS,cf___24a1(X195)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Quotients.InducedFunction2.projf') ).

fof('$adef_Quotients.InducedFunction2.projf_$a1',axiom,
    ! [X2596] : happ(cQuotients_2eInducedFunction2_2eprojf,X2596) = cQuotients_2eInducedFunction2_2eprojf___24a1(X2596),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Quotients.InducedFunction2.projf_$a1') ).

fof('$_typeof_f',axiom,
    c_24__type__163663___24t(cf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_f') ).

fof(equivS,axiom,
    cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(cB,cS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivS) ).

fof('$_typeof_S',axiom,
    cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(cB,cS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_S') ).

fof('$_typeof_B',axiom,
    cType___24t(cB),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_B') ).

fof(c_0_14,plain,
    ! [X2623,X2624] :
      ( cS___24a2(cf___24a1(X2623),cf___24a1(X2624))
      | ~ cR___24a2(X2623,X2624)
      | ~ cA___24t(X2624)
      | ~ cA___24t(X2623) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[well_defined2])])])]) ).

fof(c_0_15,plain,
    ! [X2667] : happ(cf,X2667) = cf___24a1(X2667),
    inference(variable_rename,[status(thm)],['$adef_f_$a1']) ).

fof(c_0_16,plain,
    ! [X2668,X2669] :
      ( ( p(happ(happ(cS,X2668),X2669))
        | ~ cS___24a2(X2668,X2669) )
      & ( cS___24a2(X2668,X2669)
        | ~ p(happ(happ(cS,X2668),X2669)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$adef_S_$a2'])])]) ).

cnf(c_0_17,plain,
    ( ~ cR___24a2(X1,X2)
    | ~ cA___24t(X2)
    | ~ cA___24t(X1)
    | cS___24a2(cf___24a1(X1),cf___24a1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    happ(cf,X1) = cf___24a1(X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,negated_conjecture,
    ~ ! [X2594] :
        ( cA___24t(X2594)
       => ! [X2595] :
            ( cA___24t(X2595)
           => ( cR___24a2(X2594,X2595)
             => cQuotients_2eInducedFunction2_2eprojf___24a1(X2594) = cQuotients_2eInducedFunction2_2eprojf___24a1(X2595) ) ) ),
    inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).

fof(c_0_20,plain,
    ! [X2670] :
      ( ( cB___24t(X2670)
        | ~ t(X2670,cB) )
      & ( t(X2670,cB)
        | ~ cB___24t(X2670) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$tdef_B'])])]) ).

fof(c_0_21,plain,
    ! [X2627,X2628,X2629] :
      ( ( c_24__type__163663___24t(X2629)
        | ~ cB___24t(happ(X2629,esk3_1(X2629))) )
      & ( c_24__type__163663___24t(X2629)
        | cA___24t(esk3_1(X2629)) )
      & ( cB___24t(happ(X2627,X2628))
        | ~ cA___24t(X2628)
        | ~ c_24__type__163663___24t(X2627) ) ),
    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)],['$_type_163663'])])])])])])]) ).

fof(c_0_22,plain,
    ! [X2652,X2653,X2654,X2655] :
      ( cQuotients_2equotient__projection___24a3(X2652,X2653,X2654) = cQuotients_2equotient__projection___24a3(X2652,X2653,X2655)
      | ~ p(happ(happ(X2653,X2654),X2655))
      | ~ t(X2655,X2652)
      | ~ t(X2654,X2652)
      | ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X2652,X2653)
      | ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X2652,X2653)
      | ~ cType___24t(X2652) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Quotients.quotient_projection_collapses_R'])])])]) ).

fof(c_0_23,plain,
    ! [X3293,X3294,X3295] : happ(happ(happ(cQuotients_2equotient__projection,X3293),X3294),X3295) = cQuotients_2equotient__projection___24a3(X3293,X3294,X3295),
    inference(variable_rename,[status(thm)],['$adef_Quotients.quotient_projection_$a3']) ).

cnf(c_0_24,plain,
    ( ~ cS___24a2(X1,X2)
    | p(happ(happ(cS,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    ( ~ cA___24t(X1)
    | ~ cA___24t(X2)
    | ~ cR___24a2(X1,X2)
    | cS___24a2(happ(cf,X1),happ(cf,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).

fof(c_0_26,negated_conjecture,
    ( cQuotients_2eInducedFunction2_2eprojf___24a1(esk1_0) != cQuotients_2eInducedFunction2_2eprojf___24a1(esk2_0)
    & cR___24a2(esk1_0,esk2_0)
    & cA___24t(esk2_0)
    & cA___24t(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).

fof(c_0_27,plain,
    ! [X2621] : cQuotients_2eInducedFunction2_2eprojf___24a1(X2621) = cQuotients_2equotient__projection___24a3(cB,cS,cf___24a1(X2621)),
    inference(variable_rename,[status(thm)],['$_def_Quotients.InducedFunction2.projf']) ).

fof(c_0_28,plain,
    ! [X2622] : happ(cQuotients_2eInducedFunction2_2eprojf,X2622) = cQuotients_2eInducedFunction2_2eprojf___24a1(X2622),
    inference(variable_rename,[status(thm)],['$adef_Quotients.InducedFunction2.projf_$a1']) ).

cnf(c_0_29,plain,
    ( ~ cB___24t(X1)
    | t(X1,cB) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,plain,
    ( ~ cA___24t(X2)
    | ~ c_24__type__163663___24t(X1)
    | cB___24t(happ(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    ( ~ p(happ(happ(X2,X3),X4))
    | ~ t(X4,X1)
    | ~ t(X3,X1)
    | ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X1,X2)
    | ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X1,X2)
    | ~ cType___24t(X1)
    | cQuotients_2equotient__projection___24a3(X1,X2,X3) = cQuotients_2equotient__projection___24a3(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    happ(happ(happ(cQuotients_2equotient__projection,X1),X2),X3) = cQuotients_2equotient__projection___24a3(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    ( ~ cA___24t(X1)
    | ~ cA___24t(X2)
    | ~ cR___24a2(X1,X2)
    | p(happ(happ(cS,happ(cf,X1)),happ(cf,X2))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_34,negated_conjecture,
    cR___24a2(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    cA___24t(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    cA___24t(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    cQuotients_2eInducedFunction2_2eprojf___24a1(X1) = cQuotients_2equotient__projection___24a3(cB,cS,cf___24a1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,plain,
    happ(cQuotients_2eInducedFunction2_2eprojf,X1) = cQuotients_2eInducedFunction2_2eprojf___24a1(X1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,plain,
    ( ~ c_24__type__163663___24t(X1)
    | ~ cA___24t(X2)
    | t(happ(X1,X2),cB) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_40,plain,
    ( ~ p(happ(happ(X2,X3),X4))
    | ~ cType___24t(X1)
    | ~ t(X3,X1)
    | ~ t(X4,X1)
    | ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X1,X2)
    | ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X1,X2)
    | happ(happ(happ(cQuotients_2equotient__projection,X1),X2),X3) = happ(happ(happ(cQuotients_2equotient__projection,X1),X2),X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    p(happ(happ(cS,happ(cf,esk1_0)),happ(cf,esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_42,plain,
    cQuotients_2equotient__projection___24a3(cB,cS,happ(cf,X1)) = happ(cQuotients_2eInducedFunction2_2eprojf,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_18]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ c_24__type__163663___24t(X1)
    | t(happ(X1,esk2_0),cB) ),
    inference(spm,[status(thm)],[c_0_39,c_0_35]) ).

cnf(c_0_44,plain,
    c_24__type__163663___24t(cf),
    inference(split_conjunct,[status(thm)],['$_typeof_f']) ).

cnf(c_0_45,negated_conjecture,
    ( ~ c_24__type__163663___24t(X1)
    | t(happ(X1,esk1_0),cB) ),
    inference(spm,[status(thm)],[c_0_39,c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    cQuotients_2eInducedFunction2_2eprojf___24a1(esk1_0) != cQuotients_2eInducedFunction2_2eprojf___24a1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ cType___24t(X1)
    | ~ t(happ(cf,esk1_0),X1)
    | ~ t(happ(cf,esk2_0),X1)
    | ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X1,cS)
    | ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X1,cS)
    | happ(happ(happ(cQuotients_2equotient__projection,X1),cS),happ(cf,esk2_0)) = happ(happ(happ(cQuotients_2equotient__projection,X1),cS),happ(cf,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_48,plain,
    cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(cB,cS),
    inference(split_conjunct,[status(thm)],[equivS]) ).

cnf(c_0_49,plain,
    happ(happ(happ(cQuotients_2equotient__projection,cB),cS),happ(cf,X1)) = happ(cQuotients_2eInducedFunction2_2eprojf,X1),
    inference(rw,[status(thm)],[c_0_42,c_0_32]) ).

cnf(c_0_50,plain,
    cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(cB,cS),
    inference(split_conjunct,[status(thm)],['$_typeof_S']) ).

cnf(c_0_51,negated_conjecture,
    t(happ(cf,esk2_0),cB),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    t(happ(cf,esk1_0),cB),
    inference(spm,[status(thm)],[c_0_45,c_0_44]) ).

cnf(c_0_53,plain,
    cType___24t(cB),
    inference(split_conjunct,[status(thm)],['$_typeof_B']) ).

cnf(c_0_54,negated_conjecture,
    happ(cQuotients_2eInducedFunction2_2eprojf,esk2_0) != happ(cQuotients_2eInducedFunction2_2eprojf,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_38]),c_0_38]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53])]),c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEV667+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.36  % Computer : n012.cluster.edu
% 0.09/5.36  % Model    : x86_64 x86_64
% 0.09/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36  % Memory   : 8046.5625MB
% 0.09/5.36  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Mon Sep 21 07:35:03 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.41  Running first-order theorem proving
% 0.14/5.41  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 54.29/15.42  % Version: 3.5.1
% 54.29/15.42  % Preprocessing class: FMLLSMLLSSSNFFN.
% 54.29/15.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.29/15.42  % Starting new_bool_3 with 900s (3) cores
% 54.29/15.42  % Starting new_bool_1 with 900s (3) cores
% 54.29/15.42  % Starting sh5l with 300s (1) cores
% 54.29/15.42  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 54.29/15.42  % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 1903075 completed with status 9
% 54.29/15.42  % sh5l with pid 1903074 completed with status 0
% 54.29/15.42  % Result found by sh5l
% 54.29/15.42  % Preprocessing class: FMLLSMLLSSSNFFN.
% 54.29/15.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.29/15.42  % Starting new_bool_3 with 900s (3) cores
% 54.29/15.42  % Starting new_bool_1 with 900s (3) cores
% 54.29/15.42  % Starting sh5l with 300s (1) cores
% 54.29/15.42  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 54.29/15.42  % SinE strategy is gf500_gu_R04_F100_L20000
% 54.29/15.42  % Search class: FGHSM-SMLM32-DFFFFFNN
% 54.29/15.42  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 54.29/15.42  % Starting SubtermCWHack with 28s (1) cores
% 54.29/15.42  % SubtermCWHack with pid 1903099 completed with status 0
% 54.29/15.42  % Result found by SubtermCWHack
% 54.29/15.42  % Preprocessing class: FMLLSMLLSSSNFFN.
% 54.29/15.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.29/15.42  % Starting new_bool_3 with 900s (3) cores
% 54.29/15.42  % Starting new_bool_1 with 900s (3) cores
% 54.29/15.42  % Starting sh5l with 300s (1) cores
% 54.29/15.42  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 54.29/15.42  % SinE strategy is gf500_gu_R04_F100_L20000
% 54.29/15.42  % Search class: FGHSM-SMLM32-DFFFFFNN
% 54.29/15.42  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 54.29/15.42  % Starting SubtermCWHack with 28s (1) cores
% 54.29/15.42  % Preprocessing time       : 0.032 s
% 54.29/15.42  
% 54.29/15.42  % Proof found!
% 54.29/15.42  % SZS status Theorem
% 54.29/15.42  % SZS output start CNFRefutation
% See solution above
% 54.29/15.42  % Parsed axioms                        : 2863
% 54.29/15.42  % Removed by relevancy pruning/SinE    : 2664
% 54.29/15.42  % Initial clauses                      : 1390
% 54.29/15.42  % Removed in clause preprocessing      : 24
% 54.29/15.42  % Initial clauses in saturation        : 1366
% 54.29/15.42  % Processed clauses                    : 13739
% 54.29/15.42  % ...of these trivial                  : 16
% 54.29/15.42  % ...subsumed                          : 3716
% 54.29/15.42  % ...remaining for further processing  : 10007
% 54.29/15.42  % Other redundant clauses eliminated   : 37
% 54.29/15.42  % Clauses deleted for lack of memory   : 0
% 54.29/15.42  % Backward-subsumed                    : 25
% 54.29/15.42  % Backward-rewritten                   : 13
% 54.29/15.42  % Generated clauses                    : 172705
% 54.29/15.42  % ...of the previous two non-redundant : 172559
% 54.29/15.42  % ...aggressively subsumed             : 0
% 54.29/15.42  % Contextual simplify-reflections      : 177
% 54.29/15.42  % Paramodulations                      : 172657
% 54.29/15.42  % Factorizations                       : 0
% 54.29/15.42  % NegExts                              : 0
% 54.29/15.42  % Equation resolutions                 : 48
% 54.29/15.42  % Disequality decompositions           : 0
% 54.29/15.42  % Total rewrite steps                  : 5189
% 54.29/15.42  % ...of those cached                   : 5054
% 54.29/15.42  % Propositional unsat checks           : 0
% 54.29/15.42  %    Propositional check models        : 0
% 54.29/15.42  %    Propositional check unsatisfiable : 0
% 54.29/15.42  %    Propositional clauses             : 0
% 54.29/15.42  %    Propositional clauses after purity: 0
% 54.29/15.42  %    Propositional unsat core size     : 0
% 54.29/15.42  %    Propositional preprocessing time  : 0.000
% 54.29/15.42  %    Propositional encoding time       : 0.000
% 54.29/15.42  %    Propositional solver time         : 0.000
% 54.29/15.42  %    Success case prop preproc time    : 0.000
% 54.29/15.42  %    Success case prop encoding time   : 0.000
% 54.29/15.42  %    Success case prop solver time     : 0.000
% 54.29/15.42  % Current number of processed clauses  : 9968
% 54.29/15.42  %    Positive orientable unit clauses  : 108
% 54.29/15.42  %    Positive unorientable unit clauses: 0
% 54.29/15.42  %    Negative unit clauses             : 1
% 54.29/15.42  %    Non-unit-clauses                  : 9859
% 54.29/15.42  % Current number of unprocessed clauses: 159844
% 54.29/15.42  % ...number of literals in the above   : 829965
% 54.29/15.42  % Current number of archived formulas  : 0
% 54.29/15.42  % Current number of archived clauses   : 38
% 54.29/15.42  % Clause-clause subsumption calls (NU) : 8740655
% 54.29/15.42  % Rec. Clause-clause subsumption calls : 1583241
% 54.29/15.42  % Non-unit clause-clause subsumptions  : 3918
% 54.29/15.42  % Unit Clause-clause subsumption calls : 5804
% 54.29/15.42  % Rewrite failures with RHS unbound    : 0
% 54.29/15.42  % BW rewrite match attempts            : 148
% 54.29/15.42  % BW rewrite match successes           : 10
% 54.29/15.42  % Condensation attempts                : 0
% 54.29/15.42  % Condensation successes               : 0
% 54.29/15.42  % Termbank termtop insertions          : 6160471
% 54.29/15.42  % Search garbage collected termcells   : 52928
% 54.29/15.42  
% 54.29/15.42  % -------------------------------------------------
% 54.29/15.42  % User time                : 8.028 s
% 54.29/15.42  % System time              : 0.211 s
% 54.29/15.42  % Total time               : 8.240 s
% 54.29/15.42  % Maximum resident set size: 16872 pages
% 54.29/15.42  
% 54.29/15.42  % -------------------------------------------------
% 54.29/15.42  % User time                : 8.292 s
% 54.29/15.42  % System time              : 0.359 s
% 54.29/15.42  % Total time               : 8.651 s
% 54.29/15.42  % Maximum resident set size: 11264 pages
% 54.29/15.42  % E exiting
%------------------------------------------------------------------------------