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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU293+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 02:24:35 PM UTC 2026

% Result   : Theorem 0.17s 5.67s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   49 (  13 unt;   0 def)
%            Number of atoms       :  197 (  42 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :  241 (  93   ~;  97   |;  29   &)
%                                         (   8 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   99 (   5 sgn  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t46_funct_2,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( relation_of2_as_subset(X4,X1,X2)
        & quasi_total(X4,X1,X2)
        & function(X4) )
     => ( X2 != empty_set
       => ! [X5] :
            ( in(X5,relation_inverse_image(X4,X3))
          <=> ( in(apply(X4,X5),X3)
              & in(X5,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_funct_2) ).

fof(dt_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => element(X3,powerset(cartesian_product2(X1,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
    <=> relation_of2(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(d13_funct_1,axiom,
    ! [X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2,X3] :
          ( X3 = relation_inverse_image(X1,X2)
        <=> ! [X4] :
              ( in(X4,X3)
            <=> ( in(apply(X1,X4),X2)
                & in(X4,relation_dom(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).

fof(cc1_relset_1,axiom,
    ! [X1,X2,X3] :
      ( element(X3,powerset(cartesian_product2(X1,X2)))
     => relation(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(redefinition_k4_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2(X3,X1,X2)
     => relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).

fof(d1_funct_2,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => ( ( X2 = empty_set
         => ( ( quasi_total(X3,X1,X2)
            <=> X3 = empty_set )
            | X1 = empty_set ) )
        & ( ( X2 = empty_set
           => X1 = empty_set )
         => ( quasi_total(X3,X1,X2)
          <=> X1 = relation_dom_as_subset(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( relation_of2_as_subset(X4,X1,X2)
          & quasi_total(X4,X1,X2)
          & function(X4) )
       => ( X2 != empty_set
         => ! [X5] :
              ( in(X5,relation_inverse_image(X4,X3))
            <=> ( in(apply(X4,X5),X3)
                & in(X5,X1) ) ) ) ),
    inference(assume_negation,[status(cth)],[t46_funct_2]) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( relation_of2_as_subset(X4,X1,X2)
          & quasi_total(X4,X1,X2)
          & function(X4) )
       => ( X2 != empty_set
         => ! [X5] :
              ( in(X5,relation_inverse_image(X4,X3))
            <=> ( in(apply(X4,X5),X3)
                & in(X5,X1) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_9,plain,
    ! [X28,X29,X30] :
      ( element(X30,powerset(cartesian_product2(X28,X29)))
      | ~ relation_of2_as_subset(X30,X28,X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).

fof(c_0_10,negated_conjecture,
    ( ( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
      | in(apply(esk22_0,esk23_0),esk21_0) )
    & ( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
      | in(esk23_0,esk19_0) )
    & ( ~ in(apply(esk22_0,esk23_0),esk21_0)
      | ~ in(esk23_0,esk19_0)
      | ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) )
    & esk20_0 != empty_set
    & relation_of2_as_subset(esk22_0,esk19_0,esk20_0)
    & quasi_total(esk22_0,esk19_0,esk20_0)
    & function(esk22_0) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).

fof(c_0_11,plain,
    ! [X67,X68,X69] :
      ( ( relation_of2_as_subset(X69,X67,X68)
        | ~ relation_of2(X69,X67,X68) )
      & ( relation_of2(X69,X67,X68)
        | ~ relation_of2_as_subset(X69,X67,X68) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).

fof(c_0_12,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] :
      ( ( ~ function(X14)
        | ~ relation(X14)
        | X20 = relation_inverse_image(X14,X19)
        | in(esk1_3(X14,X19,X20),X20)
        | in(apply(X14,esk1_3(X14,X19,X20)),X19) )
      & ( ~ function(X14)
        | ~ relation(X14)
        | X20 = relation_inverse_image(X14,X19)
        | in(esk1_3(X14,X19,X20),X20)
        | in(esk1_3(X14,X19,X20),relation_dom(X14)) )
      & ( ~ function(X14)
        | ~ relation(X14)
        | X20 = relation_inverse_image(X14,X19)
        | ~ in(apply(X14,esk1_3(X14,X19,X20)),X19)
        | ~ in(esk1_3(X14,X19,X20),relation_dom(X14))
        | ~ in(esk1_3(X14,X19,X20),X20) )
      & ( ~ function(X14)
        | ~ relation(X14)
        | X16 != relation_inverse_image(X14,X15)
        | in(X18,X16)
        | ~ in(apply(X14,X18),X15)
        | ~ in(X18,relation_dom(X14)) )
      & ( ~ function(X14)
        | ~ relation(X14)
        | X16 != relation_inverse_image(X14,X15)
        | ~ in(X17,X16)
        | in(apply(X14,X17),X15) )
      & ( ~ function(X14)
        | ~ relation(X14)
        | X16 != relation_inverse_image(X14,X15)
        | ~ in(X17,X16)
        | in(X17,relation_dom(X14)) ) ),
    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)],[d13_funct_1])])])])])])]) ).

fof(c_0_13,plain,
    ! [X10,X11,X12] :
      ( relation(X12)
      | ~ element(X12,powerset(cartesian_product2(X10,X11))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).

cnf(c_0_14,plain,
    ( ~ relation_of2_as_subset(X1,X2,X3)
    | element(X1,powerset(cartesian_product2(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    relation_of2_as_subset(esk22_0,esk19_0,esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,plain,
    ! [X64,X65,X66] :
      ( relation_dom_as_subset(X64,X65,X66) = relation_dom(X66)
      | ~ relation_of2(X66,X64,X65) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])]) ).

cnf(c_0_17,plain,
    ( ~ relation_of2_as_subset(X1,X2,X3)
    | relation_of2(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( ~ function(X2)
    | ~ relation(X2)
    | X3 != relation_inverse_image(X2,X4)
    | ~ in(X1,X3)
    | in(X1,relation_dom(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( ~ element(X1,powerset(cartesian_product2(X2,X3)))
    | relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    element(esk22_0,powerset(cartesian_product2(esk19_0,esk20_0))),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_21,plain,
    ! [X22,X23,X24] :
      ( ( ~ relation_of2_as_subset(X24,X22,X23)
        | X23 != empty_set
        | X22 = empty_set
        | quasi_total(X24,X22,X23)
        | X24 != empty_set )
      & ( ~ relation_of2_as_subset(X24,X22,X23)
        | X23 != empty_set
        | X22 = empty_set
        | X24 = empty_set
        | ~ quasi_total(X24,X22,X23) )
      & ( ~ relation_of2_as_subset(X24,X22,X23)
        | X22 != empty_set
        | quasi_total(X24,X22,X23)
        | X22 != relation_dom_as_subset(X22,X23,X24) )
      & ( ~ relation_of2_as_subset(X24,X22,X23)
        | X22 != empty_set
        | X22 = relation_dom_as_subset(X22,X23,X24)
        | ~ quasi_total(X24,X22,X23) )
      & ( ~ relation_of2_as_subset(X24,X22,X23)
        | X23 = empty_set
        | quasi_total(X24,X22,X23)
        | X22 != relation_dom_as_subset(X22,X23,X24) )
      & ( ~ relation_of2_as_subset(X24,X22,X23)
        | X23 = empty_set
        | X22 = relation_dom_as_subset(X22,X23,X24)
        | ~ quasi_total(X24,X22,X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])]) ).

cnf(c_0_22,plain,
    ( ~ relation_of2(X1,X2,X3)
    | relation_dom_as_subset(X2,X3,X1) = relation_dom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    relation_of2(esk22_0,esk19_0,esk20_0),
    inference(spm,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_24,plain,
    ( ~ in(X1,relation_inverse_image(X2,X3))
    | ~ function(X2)
    | ~ relation(X2)
    | in(X1,relation_dom(X2)) ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    function(esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_26,negated_conjecture,
    relation(esk22_0),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    ( ~ function(X2)
    | ~ relation(X2)
    | X4 != relation_inverse_image(X2,X3)
    | ~ in(apply(X2,X1),X3)
    | ~ in(X1,relation_dom(X2))
    | in(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_28,plain,
    ( ~ relation_of2_as_subset(X1,X2,X3)
    | ~ quasi_total(X1,X2,X3)
    | X3 = empty_set
    | X2 = relation_dom_as_subset(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    quasi_total(esk22_0,esk19_0,esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,negated_conjecture,
    relation_dom_as_subset(esk19_0,esk20_0,esk22_0) = relation_dom(esk22_0),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    esk20_0 != empty_set,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ in(X1,relation_inverse_image(esk22_0,X2))
    | in(X1,relation_dom(esk22_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_33,negated_conjecture,
    ( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
    | in(esk23_0,esk19_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_34,plain,
    ( ~ in(X1,relation_dom(X2))
    | ~ in(apply(X2,X1),X3)
    | ~ function(X2)
    | ~ relation(X2)
    | in(X1,relation_inverse_image(X2,X3)) ),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_35,negated_conjecture,
    relation_dom(esk22_0) = esk19_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_15])]),c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( in(esk23_0,esk19_0)
    | in(esk23_0,relation_dom(esk22_0)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ in(X1,esk19_0)
    | ~ in(apply(esk22_0,X1),X2)
    | in(X1,relation_inverse_image(esk22_0,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_26]),c_0_35])]) ).

cnf(c_0_38,negated_conjecture,
    in(esk23_0,esk19_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).

cnf(c_0_39,plain,
    ( ~ function(X1)
    | ~ relation(X1)
    | X4 != relation_inverse_image(X1,X3)
    | ~ in(X2,X4)
    | in(apply(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ in(apply(esk22_0,esk23_0),esk21_0)
    | ~ in(esk23_0,esk19_0)
    | ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ in(apply(esk22_0,esk23_0),X1)
    | in(esk23_0,relation_inverse_image(esk22_0,X1)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    ( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
    | in(apply(esk22_0,esk23_0),esk21_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_43,plain,
    ( ~ in(X2,relation_inverse_image(X1,X3))
    | ~ function(X1)
    | ~ relation(X1)
    | in(apply(X1,X2),X3) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ in(apply(esk22_0,esk23_0),esk21_0)
    | ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_38])]) ).

cnf(c_0_45,negated_conjecture,
    in(esk23_0,relation_inverse_image(esk22_0,esk21_0)),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ in(X1,relation_inverse_image(esk22_0,X2))
    | in(apply(esk22_0,X1),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_25]),c_0_26])]) ).

cnf(c_0_47,negated_conjecture,
    ~ in(apply(esk22_0,esk23_0),esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_47]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU293+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.55  % Computer : n010.cluster.edu
% 0.13/5.55  % Model    : x86_64 x86_64
% 0.13/5.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.55  % Memory   : 8046.5625MB
% 0.13/5.55  % OS       : Linux 6.8.0-71-generic
% 0.13/5.55  % CPULimit : 300
% 0.13/5.55  % WCLimit  : 300
% 0.13/5.55  % DateTime : Mon Sep 21 06:08:45 UTC 2026
% 0.13/5.56  % CPUTime  : 
% 0.13/5.56  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.61  Running first-order theorem proving
% 0.17/5.61  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
% 0.17/5.67  % Version: 3.5.1
% 0.17/5.67  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/5.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/5.67  % Starting new_bool_3 with 300s (1) cores
% 0.17/5.67  % Starting new_bool_1 with 300s (1) cores
% 0.17/5.67  % Starting sh5l with 300s (1) cores
% 0.17/5.67  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 180636 completed with status 0
% 0.17/5.67  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/5.67  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/5.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/5.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.67  % No SInE strategy applied
% 0.17/5.67  % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.17/5.67  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.67  % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/5.67  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.17/5.67  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.17/5.67  % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/5.67  % G-E--_208_C18_F1_SE_CS_SP_PS_S4b with pid 180643 completed with status 0
% 0.17/5.67  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4b
% 0.17/5.67  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/5.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/5.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.67  % No SInE strategy applied
% 0.17/5.67  % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.17/5.67  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.67  % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/5.67  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.17/5.67  % Preprocessing time       : 0.003 s
% 0.17/5.67  % Presaturation interreduction done
% 0.17/5.67  
% 0.17/5.67  % Proof found!
% 0.17/5.67  % SZS status Theorem
% 0.17/5.67  % SZS output start CNFRefutation
% See solution above
% 0.17/5.67  % Parsed axioms                        : 53
% 0.17/5.67  % Removed by relevancy pruning/SinE    : 0
% 0.17/5.67  % Initial clauses                      : 97
% 0.17/5.67  % Removed in clause preprocessing      : 10
% 0.17/5.67  % Initial clauses in saturation        : 87
% 0.17/5.67  % Processed clauses                    : 276
% 0.17/5.67  % ...of these trivial                  : 7
% 0.17/5.67  % ...subsumed                          : 17
% 0.17/5.67  % ...remaining for further processing  : 251
% 0.17/5.67  % Other redundant clauses eliminated   : 8
% 0.17/5.67  % Clauses deleted for lack of memory   : 0
% 0.17/5.67  % Backward-subsumed                    : 3
% 0.17/5.67  % Backward-rewritten                   : 35
% 0.17/5.67  % Generated clauses                    : 202
% 0.17/5.67  % ...of the previous two non-redundant : 182
% 0.17/5.67  % ...aggressively subsumed             : 0
% 0.17/5.67  % Contextual simplify-reflections      : 2
% 0.17/5.67  % Paramodulations                      : 195
% 0.17/5.67  % Factorizations                       : 0
% 0.17/5.67  % NegExts                              : 0
% 0.17/5.67  % Equation resolutions                 : 8
% 0.17/5.67  % Disequality decompositions           : 0
% 0.17/5.67  % Total rewrite steps                  : 131
% 0.17/5.67  % ...of those cached                   : 88
% 0.17/5.67  % Propositional unsat checks           : 0
% 0.17/5.67  %    Propositional check models        : 0
% 0.17/5.67  %    Propositional check unsatisfiable : 0
% 0.17/5.67  %    Propositional clauses             : 0
% 0.17/5.67  %    Propositional clauses after purity: 0
% 0.17/5.67  %    Propositional unsat core size     : 0
% 0.17/5.67  %    Propositional preprocessing time  : 0.000
% 0.17/5.67  %    Propositional encoding time       : 0.000
% 0.17/5.67  %    Propositional solver time         : 0.000
% 0.17/5.67  %    Success case prop preproc time    : 0.000
% 0.17/5.67  %    Success case prop encoding time   : 0.000
% 0.17/5.67  %    Success case prop solver time     : 0.000
% 0.17/5.67  % Current number of processed clauses  : 122
% 0.17/5.67  %    Positive orientable unit clauses  : 55
% 0.17/5.67  %    Positive unorientable unit clauses: 0
% 0.17/5.67  %    Negative unit clauses             : 13
% 0.17/5.67  %    Non-unit-clauses                  : 54
% 0.17/5.67  % Current number of unprocessed clauses: 52
% 0.17/5.67  % ...number of literals in the above   : 117
% 0.17/5.67  % Current number of archived formulas  : 0
% 0.17/5.67  % Current number of archived clauses   : 122
% 0.17/5.67  % Clause-clause subsumption calls (NU) : 1198
% 0.17/5.67  % Rec. Clause-clause subsumption calls : 618
% 0.17/5.67  % Non-unit clause-clause subsumptions  : 10
% 0.17/5.67  % Unit Clause-clause subsumption calls : 260
% 0.17/5.67  % Rewrite failures with RHS unbound    : 0
% 0.17/5.67  % BW rewrite match attempts            : 16
% 0.17/5.67  % BW rewrite match successes           : 12
% 0.17/5.67  % Condensation attempts                : 0
% 0.17/5.67  % Condensation successes               : 0
% 0.17/5.67  % Termbank termtop insertions          : 7006
% 0.17/5.67  % Search garbage collected termcells   : 841
% 0.17/5.67  
% 0.17/5.67  % -------------------------------------------------
% 0.17/5.67  % User time                : 0.025 s
% 0.17/5.67  % System time              : 0.007 s
% 0.17/5.67  % Total time               : 0.032 s
% 0.17/5.67  % Maximum resident set size: 3880 pages
% 0.17/5.67  
% 0.17/5.67  % -------------------------------------------------
% 0.17/5.67  % User time                : 0.082 s
% 0.17/5.67  % System time              : 0.024 s
% 0.17/5.67  % Total time               : 0.105 s
% 0.17/5.67  % Maximum resident set size: 4608 pages
% 0.17/5.67  % E exiting
%------------------------------------------------------------------------------