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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS044+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n008.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 : Tue May  5 04:36:13 PM UTC 2026

% Result   : Satisfiable 1.23s 1.69s
% Output   : Saturation 1.23s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
    ! [X4] :
      ( cp(X4)
    <=> ~ ? [X5] : ra_Px1(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X4] :
      ( cpxcomp(X4)
    <=> ? [X6] : ra_Px1(X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_6,axiom,
    ! [X4,X5,X7] :
      ( ( rf1(X4,X5)
        & rf1(X4,X7) )
     => X5 = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cSatisfiable(X4)
    <=> ( ? [X5] :
            ( rf(X4,X5)
            & cp(X5) )
        & ? [X5] :
            ( rf1(X4,X5)
            & cpxcomp(X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_5,axiom,
    ! [X4,X5,X7] :
      ( ( rf(X4,X5)
        & rf(X4,X7) )
     => X5 = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_8,axiom,
    ! [X4,X5] :
      ( rinvF1(X4,X5)
    <=> rf1(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(axiom_7,axiom,
    ! [X4,X5] :
      ( rinvF(X4,X5)
    <=> rf(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_1,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_0,axiom,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_10,axiom,
    ! [X4,X5,X7] :
      ( ( rs(X4,X5)
        & rs(X4,X7) )
     => X5 = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(axiom_9,axiom,
    ! [X4,X5] :
      ( rinvS(X4,X5)
    <=> rs(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(axiom_13,axiom,
    ! [X4,X5] :
      ( rs(X4,X5)
     => rf1(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(axiom_12,axiom,
    ! [X4,X5] :
      ( rs(X4,X5)
     => rf(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(axiom_11,axiom,
    cSatisfiable(i2003_11_14_17_16_1832),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(c_0_14,plain,
    ! [X156,X157,X158] :
      ( ( ~ cp(X156)
        | ~ ra_Px1(X156,X157) )
      & ( ra_Px1(X158,esk3_1(X158))
        | cp(X158) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])])]) ).

fof(c_0_15,plain,
    ! [X160,X162,X163] :
      ( ( ~ cpxcomp(X160)
        | ra_Px1(X160,esk4_1(X160)) )
      & ( ~ ra_Px1(X162,X163)
        | cpxcomp(X162) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])]) ).

fof(c_0_16,plain,
    ! [X167,X168,X169] :
      ( ~ rf1(X167,X168)
      | ~ rf1(X167,X169)
      | X168 = X169 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).

fof(c_0_17,plain,
    ! [X150,X153,X154,X155] :
      ( ( rf(X150,esk1_1(X150))
        | ~ cSatisfiable(X150) )
      & ( cp(esk1_1(X150))
        | ~ cSatisfiable(X150) )
      & ( rf1(X150,esk2_1(X150))
        | ~ cSatisfiable(X150) )
      & ( cpxcomp(esk2_1(X150))
        | ~ cSatisfiable(X150) )
      & ( ~ rf(X153,X154)
        | ~ cp(X154)
        | ~ rf1(X153,X155)
        | ~ cpxcomp(X155)
        | cSatisfiable(X153) ) ),
    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)],[axiom_2])])])])])]) ).

fof(c_0_18,plain,
    ! [X164,X165,X166] :
      ( ~ rf(X164,X165)
      | ~ rf(X164,X166)
      | X165 = X166 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).

fof(c_0_19,plain,
    ! [X172,X173] :
      ( ( ~ rinvF1(X172,X173)
        | rf1(X173,X172) )
      & ( ~ rf1(X173,X172)
        | rinvF1(X172,X173) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).

fof(c_0_20,plain,
    ! [X170,X171] :
      ( ( ~ rinvF(X170,X171)
        | rf(X171,X170) )
      & ( ~ rf(X171,X170)
        | rinvF(X170,X171) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).

cnf(c_0_21,plain,
    ( ~ cp(X1)
    | ~ ra_Px1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]),
    [final] ).

cnf(c_0_22,plain,
    ( ra_Px1(X1,esk4_1(X1))
    | ~ cpxcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

fof(c_0_23,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(c_0_24,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

cnf(c_0_25,plain,
    ( X2 = X3
    | ~ rf1(X1,X2)
    | ~ rf1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]),
    [final] ).

cnf(c_0_26,plain,
    ( rf1(X1,esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]),
    [final] ).

cnf(c_0_27,plain,
    ( X2 = X3
    | ~ rf(X1,X2)
    | ~ rf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]),
    [final] ).

cnf(c_0_28,plain,
    ( rf(X1,esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]),
    [final] ).

fof(c_0_29,plain,
    ! [X176,X177,X178] :
      ( ~ rs(X176,X177)
      | ~ rs(X176,X178)
      | X177 = X178 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).

cnf(c_0_30,plain,
    ( rinvF1(X2,X1)
    | ~ rf1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

cnf(c_0_31,plain,
    ( rinvF(X2,X1)
    | ~ rf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]),
    [final] ).

cnf(c_0_32,plain,
    ( cpxcomp(X1)
    | ~ ra_Px1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

cnf(c_0_33,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | cp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]),
    [final] ).

cnf(c_0_34,plain,
    ( ~ cpxcomp(X1)
    | ~ cp(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]),
    [final] ).

cnf(c_0_35,plain,
    ( cpxcomp(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]),
    [final] ).

fof(c_0_36,plain,
    ! [X174,X175] :
      ( ( ~ rinvS(X174,X175)
        | rs(X175,X174) )
      & ( ~ rs(X175,X174)
        | rinvS(X174,X175) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).

fof(c_0_37,plain,
    ! [X181,X182] :
      ( ~ rs(X181,X182)
      | rf1(X181,X182) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])]) ).

fof(c_0_38,plain,
    ! [X179,X180] :
      ( ~ rs(X179,X180)
      | rf(X179,X180) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])]) ).

fof(c_0_39,plain,
    ! [X149] :
      ( ( ~ xsd_string(X149)
        | ~ xsd_integer(X149) )
      & ( xsd_integer(X149)
        | xsd_string(X149) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).

fof(c_0_40,plain,
    ! [X148] :
      ( cowlThing(X148)
      & ~ cowlNothing(X148) ),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

cnf(c_0_41,plain,
    ( X1 = esk2_1(X2)
    | ~ rf1(X2,X1)
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]),
    [final] ).

cnf(c_0_42,plain,
    ( X1 = esk1_1(X2)
    | ~ rf(X2,X1)
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]),
    [final] ).

cnf(c_0_43,plain,
    ( cSatisfiable(X1)
    | ~ rf(X1,X2)
    | ~ cp(X2)
    | ~ rf1(X1,X3)
    | ~ cpxcomp(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]),
    [final] ).

cnf(c_0_44,plain,
    ( X2 = X3
    | ~ rs(X1,X2)
    | ~ rs(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]),
    [final] ).

cnf(c_0_45,plain,
    ( rinvF1(esk2_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_26]),
    [final] ).

cnf(c_0_46,plain,
    ( rinvF(esk1_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_28]),
    [final] ).

cnf(c_0_47,plain,
    ( cpxcomp(X1)
    | cp(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]),
    [final] ).

cnf(c_0_48,plain,
    ( ~ cp(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]),
    [final] ).

cnf(c_0_49,plain,
    ( rinvS(X2,X1)
    | ~ rs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]),
    [final] ).

cnf(c_0_50,plain,
    ( rs(X2,X1)
    | ~ rinvS(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]),
    [final] ).

cnf(c_0_51,plain,
    ( rf1(X1,X2)
    | ~ rs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]),
    [final] ).

cnf(c_0_52,plain,
    ( cp(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]),
    [final] ).

cnf(c_0_53,plain,
    ( rf1(X2,X1)
    | ~ rinvF1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

cnf(c_0_54,plain,
    ( rf(X1,X2)
    | ~ rs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]),
    [final] ).

cnf(c_0_55,plain,
    ( rf(X2,X1)
    | ~ rinvF(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]),
    [final] ).

cnf(c_0_56,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]),
    [final] ).

cnf(c_0_57,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]),
    [final] ).

cnf(c_0_58,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_40]),
    [final] ).

cnf(c_0_59,plain,
    cSatisfiable(i2003_11_14_17_16_1832),
    inference(split_conjunct,[status(thm)],[axiom_11]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : KRS044+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.10  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.30  % Computer : n008.cluster.edu
% 0.12/0.30  % Model    : x86_64 x86_64
% 0.12/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30  % Memory   : 8042.1875MB
% 0.12/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Mon May  4 20:35:58 EDT 2026
% 0.12/0.31  % CPUTime    : 
% 0.12/0.31  % start to proof: theBenchmark
% 1.23/1.69  % Version  : CSE_E---1.7
% 1.23/1.69  % Problem  : theBenchmark.p
% 1.23/1.69  % SZS status Satisfiable for theBenchmark.p
% 1.23/1.69  % SZS output start Saturation
% See solution above
% 1.23/1.69  % Total time : 1.370s
%------------------------------------------------------------------------------