TSTP Solution File: SWB027+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:37:02 EDT 2023

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   44 (  17 unt;   0 def)
%            Number of atoms       :  205 (   9 equ)
%            Maximal formula atoms :   53 (   4 avg)
%            Number of connectives :  271 ( 110   ~; 114   |;  38   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-5 aty)
%            Number of variables   :   97 (   1 sgn;  45   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_chain_002,axiom,
    ! [X4,X5,X6,X7,X8] :
      ( ( iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X5,X7)
        & iext(uri_rdf_first,X7,X8)
        & iext(uri_rdf_rest,X7,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X4,X5)
      <=> ( ip(X4)
          & ip(X6)
          & ip(X8)
          & ! [X9,X10,X11] :
              ( ( iext(X6,X9,X10)
                & iext(X8,X10,X11) )
             => iext(X4,X9,X11) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ywL3k25UV/E---3.1_10254.p',owl_chain_002) ).

fof(testcase_premise_fullish_027_Inferred_Property_Characteristics_II,axiom,
    ? [X14,X15,X16] :
      ( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X14)
      & iext(uri_rdf_first,X14,uri_ex_p)
      & iext(uri_rdf_rest,X14,X15)
      & iext(uri_rdf_first,X15,X16)
      & iext(uri_rdf_rest,X15,uri_rdf_nil)
      & iext(uri_owl_inverseOf,X16,uri_ex_p) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ywL3k25UV/E---3.1_10254.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

fof(owl_inv,axiom,
    ! [X6,X8] :
      ( iext(uri_owl_inverseOf,X6,X8)
    <=> ( ip(X6)
        & ip(X8)
        & ! [X1,X3] :
            ( iext(X6,X1,X3)
          <=> iext(X8,X3,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ywL3k25UV/E---3.1_10254.p',owl_inv) ).

fof(testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/tmp/tmp.8ywL3k25UV/E---3.1_10254.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ywL3k25UV/E---3.1_10254.p',rdfs_cext_def) ).

fof(owl_char_inversefunctional,axiom,
    ! [X4] :
      ( icext(uri_owl_InverseFunctionalProperty,X4)
    <=> ( ip(X4)
        & ! [X12,X13,X3] :
            ( ( iext(X4,X12,X3)
              & iext(X4,X13,X3) )
           => X12 = X13 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ywL3k25UV/E---3.1_10254.p',owl_char_inversefunctional) ).

fof(owl_eqdis_sameas,axiom,
    ! [X1,X3] :
      ( iext(uri_owl_sameAs,X1,X3)
    <=> X1 = X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.8ywL3k25UV/E---3.1_10254.p',owl_eqdis_sameas) ).

fof(c_0_7,plain,
    ! [X30,X31,X32,X33,X34,X35,X36,X37] :
      ( ( ip(X30)
        | ~ iext(uri_owl_propertyChainAxiom,X30,X31)
        | ~ iext(uri_rdf_first,X31,X32)
        | ~ iext(uri_rdf_rest,X31,X33)
        | ~ iext(uri_rdf_first,X33,X34)
        | ~ iext(uri_rdf_rest,X33,uri_rdf_nil) )
      & ( ip(X32)
        | ~ iext(uri_owl_propertyChainAxiom,X30,X31)
        | ~ iext(uri_rdf_first,X31,X32)
        | ~ iext(uri_rdf_rest,X31,X33)
        | ~ iext(uri_rdf_first,X33,X34)
        | ~ iext(uri_rdf_rest,X33,uri_rdf_nil) )
      & ( ip(X34)
        | ~ iext(uri_owl_propertyChainAxiom,X30,X31)
        | ~ iext(uri_rdf_first,X31,X32)
        | ~ iext(uri_rdf_rest,X31,X33)
        | ~ iext(uri_rdf_first,X33,X34)
        | ~ iext(uri_rdf_rest,X33,uri_rdf_nil) )
      & ( ~ iext(X32,X35,X36)
        | ~ iext(X34,X36,X37)
        | iext(X30,X35,X37)
        | ~ iext(uri_owl_propertyChainAxiom,X30,X31)
        | ~ iext(uri_rdf_first,X31,X32)
        | ~ iext(uri_rdf_rest,X31,X33)
        | ~ iext(uri_rdf_first,X33,X34)
        | ~ iext(uri_rdf_rest,X33,uri_rdf_nil) )
      & ( iext(X32,esk7_5(X30,X31,X32,X33,X34),esk8_5(X30,X31,X32,X33,X34))
        | ~ ip(X30)
        | ~ ip(X32)
        | ~ ip(X34)
        | iext(uri_owl_propertyChainAxiom,X30,X31)
        | ~ iext(uri_rdf_first,X31,X32)
        | ~ iext(uri_rdf_rest,X31,X33)
        | ~ iext(uri_rdf_first,X33,X34)
        | ~ iext(uri_rdf_rest,X33,uri_rdf_nil) )
      & ( iext(X34,esk8_5(X30,X31,X32,X33,X34),esk9_5(X30,X31,X32,X33,X34))
        | ~ ip(X30)
        | ~ ip(X32)
        | ~ ip(X34)
        | iext(uri_owl_propertyChainAxiom,X30,X31)
        | ~ iext(uri_rdf_first,X31,X32)
        | ~ iext(uri_rdf_rest,X31,X33)
        | ~ iext(uri_rdf_first,X33,X34)
        | ~ iext(uri_rdf_rest,X33,uri_rdf_nil) )
      & ( ~ iext(X30,esk7_5(X30,X31,X32,X33,X34),esk9_5(X30,X31,X32,X33,X34))
        | ~ ip(X30)
        | ~ ip(X32)
        | ~ ip(X34)
        | iext(uri_owl_propertyChainAxiom,X30,X31)
        | ~ iext(uri_rdf_first,X31,X32)
        | ~ iext(uri_rdf_rest,X31,X33)
        | ~ iext(uri_rdf_first,X33,X34)
        | ~ iext(uri_rdf_rest,X33,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_chain_002])])])])]) ).

fof(c_0_8,plain,
    ( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk4_0)
    & iext(uri_rdf_first,esk4_0,uri_ex_p)
    & iext(uri_rdf_rest,esk4_0,esk5_0)
    & iext(uri_rdf_first,esk5_0,esk6_0)
    & iext(uri_rdf_rest,esk5_0,uri_rdf_nil)
    & iext(uri_owl_inverseOf,esk6_0,uri_ex_p) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II])]) ).

cnf(c_0_9,plain,
    ( iext(X6,X2,X5)
    | ~ iext(X1,X2,X3)
    | ~ iext(X4,X3,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X6,X7)
    | ~ iext(uri_rdf_first,X7,X1)
    | ~ iext(uri_rdf_rest,X7,X8)
    | ~ iext(uri_rdf_first,X8,X4)
    | ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_rest,esk5_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk5_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk5_0)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X5)
    | ~ iext(X4,X7,X3)
    | ~ iext(X6,X2,X7) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,plain,
    iext(uri_rdf_first,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_13,plain,
    ! [X41,X42,X43,X44,X45,X46,X47,X48] :
      ( ( ip(X41)
        | ~ iext(uri_owl_inverseOf,X41,X42) )
      & ( ip(X42)
        | ~ iext(uri_owl_inverseOf,X41,X42) )
      & ( ~ iext(X41,X43,X44)
        | iext(X42,X44,X43)
        | ~ iext(uri_owl_inverseOf,X41,X42) )
      & ( ~ iext(X42,X46,X45)
        | iext(X41,X45,X46)
        | ~ iext(uri_owl_inverseOf,X41,X42) )
      & ( ~ iext(X47,esk10_2(X47,X48),esk11_2(X47,X48))
        | ~ iext(X48,esk11_2(X47,X48),esk10_2(X47,X48))
        | ~ ip(X47)
        | ~ ip(X48)
        | iext(uri_owl_inverseOf,X47,X48) )
      & ( iext(X47,esk10_2(X47,X48),esk11_2(X47,X48))
        | iext(X48,esk11_2(X47,X48),esk10_2(X47,X48))
        | ~ ip(X47)
        | ~ ip(X48)
        | iext(uri_owl_inverseOf,X47,X48) ) ),
    inference(distribute,[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)],[owl_inv])])])])])]) ).

fof(c_0_14,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II])]) ).

fof(c_0_15,plain,
    ! [X28,X29] :
      ( ( ~ iext(uri_rdf_type,X28,X29)
        | icext(X29,X28) )
      & ( ~ icext(X29,X28)
        | iext(uri_rdf_type,X28,X29) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_16,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk5_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(esk6_0,X6,X3)
    | ~ iext(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_rest,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_18,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ( ip(X17)
        | ~ icext(uri_owl_InverseFunctionalProperty,X17) )
      & ( ~ iext(X17,X18,X20)
        | ~ iext(X17,X19,X20)
        | X18 = X19
        | ~ icext(uri_owl_InverseFunctionalProperty,X17) )
      & ( iext(X21,esk1_1(X21),esk3_1(X21))
        | ~ ip(X21)
        | icext(uri_owl_InverseFunctionalProperty,X21) )
      & ( iext(X21,esk2_1(X21),esk3_1(X21))
        | ~ ip(X21)
        | icext(uri_owl_InverseFunctionalProperty,X21) )
      & ( esk1_1(X21) != esk2_1(X21)
        | ~ ip(X21)
        | icext(uri_owl_InverseFunctionalProperty,X21) ) ),
    inference(distribute,[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)],[owl_char_inversefunctional])])])])])]) ).

cnf(c_0_19,plain,
    ( ip(X1)
    | ~ iext(uri_owl_inverseOf,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    iext(uri_owl_inverseOf,esk6_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk4_0,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk4_0)
    | ~ iext(esk6_0,X5,X3)
    | ~ iext(X4,X2,X5) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,plain,
    iext(uri_rdf_first,esk4_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_25,plain,
    ( iext(X4,X3,X2)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_owl_inverseOf,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_26,plain,
    ( iext(X1,esk2_1(X1),esk3_1(X1))
    | icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk4_0)
    | ~ iext(esk6_0,X4,X3)
    | ~ iext(uri_ex_p,X2,X4) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_31,plain,
    ( iext(esk6_0,X1,X2)
    | ~ iext(uri_ex_p,X2,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_20]) ).

cnf(c_0_32,plain,
    iext(uri_ex_p,esk2_1(uri_ex_p),esk3_1(uri_ex_p)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_33,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | ~ iext(esk6_0,X3,X2)
    | ~ iext(uri_ex_p,X1,X3) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,plain,
    iext(esk6_0,esk3_1(uri_ex_p),esk2_1(uri_ex_p)),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    ( iext(X1,esk1_1(X1),esk3_1(X1))
    | icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_36,plain,
    ! [X51,X52] :
      ( ( ~ iext(uri_owl_sameAs,X51,X52)
        | X51 = X52 )
      & ( X51 != X52
        | iext(uri_owl_sameAs,X51,X52) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).

cnf(c_0_37,plain,
    ( iext(uri_owl_sameAs,X1,esk2_1(uri_ex_p))
    | ~ iext(uri_ex_p,X1,esk3_1(uri_ex_p)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    iext(uri_ex_p,esk1_1(uri_ex_p),esk3_1(uri_ex_p)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_28]) ).

cnf(c_0_39,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk1_1(X1) != esk2_1(X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_40,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    iext(uri_owl_sameAs,esk1_1(uri_ex_p),esk2_1(uri_ex_p)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    esk2_1(uri_ex_p) != esk1_1(uri_ex_p),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_28]) ).

cnf(c_0_43,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n001.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 21:02:52 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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/tmp/tmp.8ywL3k25UV/E---3.1_10254.p
% 0.20/0.49  # Version: 3.1pre001
% 0.20/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # new_bool_3 with pid 10333 completed with status 0
% 0.20/0.49  # Result found by new_bool_3
% 0.20/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGUSF-FFMM32-SFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.49  # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 10337 completed with status 0
% 0.20/0.49  # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGUSF-FFMM32-SFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.002 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 7
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 29
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 29
% 0.20/0.49  # Processed clauses                    : 112
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 4
% 0.20/0.49  # ...remaining for further processing  : 108
% 0.20/0.49  # Other redundant clauses eliminated   : 1
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 3
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 83
% 0.20/0.49  # ...of the previous two non-redundant : 68
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 82
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 1
% 0.20/0.49  # Total rewrite steps                  : 14
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 75
% 0.20/0.49  #    Positive orientable unit clauses  : 15
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 3
% 0.20/0.49  #    Non-unit-clauses                  : 57
% 0.20/0.49  # Current number of unprocessed clauses: 14
% 0.20/0.49  # ...number of literals in the above   : 67
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 32
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 2055
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 539
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 7
% 0.20/0.49  # Unit Clause-clause subsumption calls : 64
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 3
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 4193
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.012 s
% 0.20/0.49  # System time              : 0.003 s
% 0.20/0.49  # Total time               : 0.015 s
% 0.20/0.49  # Maximum resident set size: 1848 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.014 s
% 0.20/0.49  # System time              : 0.005 s
% 0.20/0.49  # Total time               : 0.019 s
% 0.20/0.49  # Maximum resident set size: 1740 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------