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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS047+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n013.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 04:36:14 PM UTC 2026

% Result   : Satisfiable 1.27s 1.72s
% Output   : Saturation 1.27s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
    ! [X4,X5] :
      ( rinvR(X4,X5)
    <=> rr(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cSatisfiable(X4)
    <=> ( ? [X5] :
            ( rinvF(X4,X5)
            & ca(X5) )
        & caxcomp(X4)
        & ? [X5] :
            ( rinvR(X4,X5)
            & ca_Vx2(X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_7,axiom,
    ! [X4,X5] :
      ( rinvF(X4,X5)
    <=> rf(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_5,axiom,
    ! [X4] :
      ( ca_Vx2(X4)
    <=> ? [X5] :
          ( rinvF(X4,X5)
          & ca(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_9,axiom,
    ! [X4,X5,X7] :
      ( ( rr(X4,X5)
        & rr(X5,X7) )
     => rr(X4,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(axiom_11,axiom,
    ! [X4,X5] :
      ( rf(X4,X5)
     => rr(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(axiom_3,axiom,
    ! [X4] :
      ( ca(X4)
    <=> ~ ? [X5] : ra_Px1(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X4] :
      ( caxcomp(X4)
    <=> ? [X6] : ra_Px1(X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_6,axiom,
    ! [X4,X5,X7] :
      ( ( rf(X4,X5)
        & rf(X4,X7) )
     => X5 = X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_1,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_0,axiom,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_10,axiom,
    cSatisfiable(i2003_11_14_17_16_29157),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(c_0_12,plain,
    ! [X148,X149] :
      ( ( ~ rinvR(X148,X149)
        | rr(X149,X148) )
      & ( ~ rr(X149,X148)
        | rinvR(X148,X149) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).

fof(c_0_13,plain,
    ! [X125,X128,X129,X130] :
      ( ( rinvF(X125,esk1_1(X125))
        | ~ cSatisfiable(X125) )
      & ( ca(esk1_1(X125))
        | ~ cSatisfiable(X125) )
      & ( caxcomp(X125)
        | ~ cSatisfiable(X125) )
      & ( rinvR(X125,esk2_1(X125))
        | ~ cSatisfiable(X125) )
      & ( ca_Vx2(esk2_1(X125))
        | ~ cSatisfiable(X125) )
      & ( ~ rinvF(X128,X129)
        | ~ ca(X129)
        | ~ caxcomp(X128)
        | ~ rinvR(X128,X130)
        | ~ ca_Vx2(X130)
        | cSatisfiable(X128) ) ),
    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_14,plain,
    ! [X146,X147] :
      ( ( ~ rinvF(X146,X147)
        | rf(X147,X146) )
      & ( ~ rf(X147,X146)
        | rinvF(X146,X147) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).

fof(c_0_15,plain,
    ! [X139,X141,X142] :
      ( ( rinvF(X139,esk5_1(X139))
        | ~ ca_Vx2(X139) )
      & ( ca(esk5_1(X139))
        | ~ ca_Vx2(X139) )
      & ( ~ rinvF(X141,X142)
        | ~ ca(X142)
        | ca_Vx2(X141) ) ),
    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_5])])])])])]) ).

fof(c_0_16,plain,
    ! [X150,X151,X152] :
      ( ~ rr(X150,X151)
      | ~ rr(X151,X152)
      | rr(X150,X152) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).

cnf(c_0_17,plain,
    ( rr(X2,X1)
    | ~ rinvR(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]),
    [final] ).

cnf(c_0_18,plain,
    ( rinvR(X1,esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]),
    [final] ).

fof(c_0_19,plain,
    ! [X153,X154] :
      ( ~ rf(X153,X154)
      | rr(X153,X154) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).

cnf(c_0_20,plain,
    ( rf(X2,X1)
    | ~ rinvF(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]),
    [final] ).

cnf(c_0_21,plain,
    ( rinvF(X1,esk5_1(X1))
    | ~ ca_Vx2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

cnf(c_0_22,plain,
    ( rr(X1,X3)
    | ~ rr(X1,X2)
    | ~ rr(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]),
    [final] ).

cnf(c_0_23,plain,
    ( rr(esk2_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]),
    [final] ).

cnf(c_0_24,plain,
    ( rr(X1,X2)
    | ~ rf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

cnf(c_0_25,plain,
    ( rf(esk5_1(X1),X1)
    | ~ ca_Vx2(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]),
    [final] ).

cnf(c_0_26,plain,
    ( rr(X1,X2)
    | ~ rr(X1,esk2_1(X2))
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]),
    [final] ).

cnf(c_0_27,plain,
    ( rr(esk5_1(X1),X1)
    | ~ ca_Vx2(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]),
    [final] ).

cnf(c_0_28,plain,
    ( ca_Vx2(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]),
    [final] ).

cnf(c_0_29,plain,
    ( rinvF(X1,esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]),
    [final] ).

fof(c_0_30,plain,
    ! [X131,X132,X133] :
      ( ( ~ ca(X131)
        | ~ ra_Px1(X131,X132) )
      & ( ra_Px1(X133,esk3_1(X133))
        | ca(X133) ) ),
    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_31,plain,
    ! [X135,X137,X138] :
      ( ( ~ caxcomp(X135)
        | ra_Px1(X135,esk4_1(X135)) )
      & ( ~ ra_Px1(X137,X138)
        | caxcomp(X137) ) ),
    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])])])])]) ).

cnf(c_0_32,plain,
    ( rr(esk5_1(esk2_1(X1)),X1)
    | ~ cSatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
    [final] ).

cnf(c_0_33,plain,
    ( rinvR(X2,X1)
    | ~ rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]),
    [final] ).

cnf(c_0_34,plain,
    ( rf(esk1_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_29]),
    [final] ).

cnf(c_0_35,plain,
    ( ~ ca(X1)
    | ~ ra_Px1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]),
    [final] ).

cnf(c_0_36,plain,
    ( ra_Px1(X1,esk4_1(X1))
    | ~ caxcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]),
    [final] ).

cnf(c_0_37,plain,
    ( rr(X1,X2)
    | ~ rr(X1,esk5_1(esk2_1(X2)))
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_32]),
    [final] ).

cnf(c_0_38,plain,
    ( ca_Vx2(X1)
    | ~ rinvF(X1,X2)
    | ~ ca(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

cnf(c_0_39,plain,
    ( ca(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]),
    [final] ).

cnf(c_0_40,plain,
    ( cSatisfiable(X1)
    | ~ rinvF(X1,X2)
    | ~ ca(X2)
    | ~ caxcomp(X1)
    | ~ rinvR(X1,X3)
    | ~ ca_Vx2(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]),
    [final] ).

cnf(c_0_41,plain,
    ( rinvR(X1,esk5_1(X1))
    | ~ ca_Vx2(X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_27]),
    [final] ).

cnf(c_0_42,plain,
    ( rr(esk1_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_34]),
    [final] ).

fof(c_0_43,plain,
    ! [X143,X144,X145] :
      ( ~ rf(X143,X144)
      | ~ rf(X143,X145)
      | X144 = X145 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).

cnf(c_0_44,plain,
    ( ~ caxcomp(X1)
    | ~ ca(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]),
    [final] ).

cnf(c_0_45,plain,
    ( caxcomp(X1)
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]),
    [final] ).

fof(c_0_46,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(c_0_47,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

cnf(c_0_48,plain,
    ( rr(esk5_1(esk5_1(esk2_1(X1))),X1)
    | ~ ca_Vx2(esk5_1(esk2_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_27]),
    [final] ).

cnf(c_0_49,plain,
    ( ca_Vx2(X1)
    | ~ cSatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_39]),
    [final] ).

cnf(c_0_50,plain,
    ( cSatisfiable(X1)
    | ~ rinvF(X1,X2)
    | ~ caxcomp(X1)
    | ~ ca_Vx2(esk5_1(X1))
    | ~ ca(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38]),
    [final] ).

cnf(c_0_51,plain,
    ( rr(X1,X2)
    | ~ rr(X1,esk5_1(X2))
    | ~ ca_Vx2(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_27]),
    [final] ).

cnf(c_0_52,plain,
    ( rr(X1,X2)
    | ~ rr(X1,esk1_1(X2))
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_42]),
    [final] ).

cnf(c_0_53,plain,
    ( X2 = X3
    | ~ rf(X1,X2)
    | ~ rf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]),
    [final] ).

cnf(c_0_54,plain,
    ( caxcomp(X1)
    | ~ ra_Px1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]),
    [final] ).

cnf(c_0_55,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ca(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]),
    [final] ).

cnf(c_0_56,plain,
    ( ~ ca(X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]),
    [final] ).

cnf(c_0_57,plain,
    ( ca(esk5_1(X1))
    | ~ ca_Vx2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

fof(c_0_58,plain,
    ! [X124] :
      ( ( ~ xsd_string(X124)
        | ~ xsd_integer(X124) )
      & ( xsd_integer(X124)
        | xsd_string(X124) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).

fof(c_0_59,plain,
    ! [X123] :
      ( cowlThing(X123)
      & ~ cowlNothing(X123) ),
    inference(variable_rename,[status(thm)],[c_0_47]) ).

cnf(c_0_60,plain,
    ( rr(esk5_1(esk5_1(esk2_1(X1))),X1)
    | ~ cSatisfiable(esk5_1(esk2_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]),
    [final] ).

cnf(c_0_61,plain,
    ( rr(esk1_1(esk5_1(esk2_1(X1))),X1)
    | ~ cSatisfiable(esk5_1(esk2_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_42]),
    [final] ).

cnf(c_0_62,plain,
    ( rr(esk5_1(esk2_1(esk5_1(esk2_1(X1)))),X1)
    | ~ cSatisfiable(esk5_1(esk2_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_32]),
    [final] ).

cnf(c_0_63,plain,
    ( rr(esk2_1(esk5_1(esk2_1(X1))),X1)
    | ~ cSatisfiable(esk5_1(esk2_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_23]),
    [final] ).

cnf(c_0_64,plain,
    ( rr(esk5_1(esk2_1(esk2_1(X1))),X1)
    | ~ cSatisfiable(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_32]),
    [final] ).

cnf(c_0_65,plain,
    ( cSatisfiable(X1)
    | ~ rinvF(X1,X2)
    | ~ caxcomp(X1)
    | ~ ca(X2)
    | ~ cSatisfiable(esk5_1(X1)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_49]),
    [final] ).

cnf(c_0_66,plain,
    ( rr(esk5_1(esk5_1(X1)),X1)
    | ~ ca_Vx2(esk5_1(X1))
    | ~ ca_Vx2(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_27]),
    [final] ).

cnf(c_0_67,plain,
    ( rr(esk5_1(esk1_1(X1)),X1)
    | ~ ca_Vx2(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_27]),
    [final] ).

cnf(c_0_68,plain,
    ( rr(esk1_1(esk2_1(X1)),X1)
    | ~ cSatisfiable(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_42]),
    [final] ).

cnf(c_0_69,plain,
    ( rr(esk2_1(esk2_1(X1)),X1)
    | ~ cSatisfiable(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_23]),
    [final] ).

cnf(c_0_70,plain,
    ( rinvR(X1,esk5_1(esk2_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_32]),
    [final] ).

cnf(c_0_71,plain,
    ( rinvR(X1,esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_42]),
    [final] ).

cnf(c_0_72,plain,
    ( X1 = X2
    | ~ rf(esk5_1(X2),X1)
    | ~ ca_Vx2(X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_25]),
    [final] ).

cnf(c_0_73,plain,
    ( X1 = X2
    | ~ rf(esk1_1(X2),X1)
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_34]),
    [final] ).

cnf(c_0_74,plain,
    ( caxcomp(X1)
    | ca(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]),
    [final] ).

cnf(c_0_75,plain,
    ( ~ cSatisfiable(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_39]),
    [final] ).

cnf(c_0_76,plain,
    ( ~ ca_Vx2(X1)
    | ~ cSatisfiable(esk5_1(X1)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]),
    [final] ).

cnf(c_0_77,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]),
    [final] ).

cnf(c_0_78,plain,
    ( rinvF(X2,X1)
    | ~ rf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]),
    [final] ).

cnf(c_0_79,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]),
    [final] ).

cnf(c_0_80,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_59]),
    [final] ).

cnf(c_0_81,plain,
    cSatisfiable(i2003_11_14_17_16_29157),
    inference(split_conjunct,[status(thm)],[axiom_10]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS047+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n013.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May  4 20:35:26 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.27/1.72  % Version  : CSE_E---1.7
% 1.27/1.72  % Problem  : theBenchmark.p
% 1.27/1.72  % SZS status Satisfiable for theBenchmark.p
% 1.27/1.72  % SZS output start Saturation
% See solution above
% 1.27/1.72  % Total time : 1.373s
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