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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS035+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 : 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:36:12 PM UTC 2026

% Result   : Satisfiable 1.25s 1.73s
% Output   : Saturation 1.25s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X4] :
      ( cSatisfiable(X4)
    <=> ( ~ ca(X4)
        & ? [X5] :
            ( rinvR(X4,X5)
            & ? [X6] :
                ( rinvF(X5,X6)
                & ca(X6) ) )
        & ? [X5] :
            ( rinvF(X4,X5)
            & ca(X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_4,axiom,
    ! [X4,X5] :
      ( rinvF(X4,X5)
    <=> rf(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_5,axiom,
    ! [X4,X5] :
      ( rinvR(X4,X5)
    <=> rr(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

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

fof(axiom_6,axiom,
    ! [X4,X5,X6] :
      ( ( rr(X4,X5)
        & rr(X5,X6) )
     => rr(X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

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

fof(axiom_3,axiom,
    ! [X4] :
      ( cowlThing(X4)
     => ! [X7,X8] :
          ( ( rf(X4,X7)
            & rf(X4,X8) )
         => X7 = X8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

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

fof(axiom_7,axiom,
    cSatisfiable(i2003_11_14_17_15_44810),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(c_0_9,plain,
    ! [X4] :
      ( cSatisfiable(X4)
    <=> ( ~ ca(X4)
        & ? [X5] :
            ( rinvR(X4,X5)
            & ? [X6] :
                ( rinvF(X5,X6)
                & ca(X6) ) )
        & ? [X5] :
            ( rinvF(X4,X5)
            & ca(X5) ) ) ),
    inference(fof_simplification,[status(thm)],[axiom_2]) ).

fof(c_0_10,plain,
    ! [X112,X113] :
      ( ( ~ rinvF(X112,X113)
        | rf(X113,X112) )
      & ( ~ rf(X113,X112)
        | rinvF(X112,X113) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).

fof(c_0_11,plain,
    ! [X101,X105,X106,X107,X108] :
      ( ( ~ ca(X101)
        | ~ cSatisfiable(X101) )
      & ( rinvR(X101,esk1_1(X101))
        | ~ cSatisfiable(X101) )
      & ( rinvF(esk1_1(X101),esk2_1(X101))
        | ~ cSatisfiable(X101) )
      & ( ca(esk2_1(X101))
        | ~ cSatisfiable(X101) )
      & ( rinvF(X101,esk3_1(X101))
        | ~ cSatisfiable(X101) )
      & ( ca(esk3_1(X101))
        | ~ cSatisfiable(X101) )
      & ( ca(X105)
        | ~ rinvR(X105,X106)
        | ~ rinvF(X106,X107)
        | ~ ca(X107)
        | ~ rinvF(X105,X108)
        | ~ ca(X108)
        | cSatisfiable(X105) ) ),
    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)],[c_0_9])])])])])]) ).

fof(c_0_12,plain,
    ! [X114,X115] :
      ( ( ~ rinvR(X114,X115)
        | rr(X115,X114) )
      & ( ~ rr(X115,X114)
        | rinvR(X114,X115) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).

fof(c_0_13,plain,
    ! [X119,X120] :
      ( ~ rf(X119,X120)
      | rr(X119,X120) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).

cnf(c_0_14,plain,
    ( rf(X2,X1)
    | ~ rinvF(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]),
    [final] ).

cnf(c_0_15,plain,
    ( rinvF(esk1_1(X1),esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

fof(c_0_16,plain,
    ! [X116,X117,X118] :
      ( ~ rr(X116,X117)
      | ~ rr(X117,X118)
      | rr(X116,X118) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).

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,esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

fof(c_0_19,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

cnf(c_0_20,plain,
    ( rr(X1,X2)
    | ~ rf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]),
    [final] ).

cnf(c_0_21,plain,
    ( rf(esk2_1(X1),esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_14,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(esk1_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]),
    [final] ).

cnf(c_0_24,plain,
    ( rinvF(X1,esk3_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

fof(c_0_25,plain,
    ! [X109,X110,X111] :
      ( ~ cowlThing(X109)
      | ~ rf(X109,X110)
      | ~ rf(X109,X111)
      | X110 = X111 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).

fof(c_0_26,plain,
    ! [X99] :
      ( cowlThing(X99)
      & ~ cowlNothing(X99) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( rinvR(X2,X1)
    | ~ rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]),
    [final] ).

cnf(c_0_28,plain,
    ( rr(esk2_1(X1),esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]),
    [final] ).

cnf(c_0_29,plain,
    ( rr(X1,X2)
    | ~ rr(X1,esk1_1(X2))
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]),
    [final] ).

cnf(c_0_30,plain,
    ( rf(esk3_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_24]),
    [final] ).

cnf(c_0_31,plain,
    ( X2 = X3
    | ~ cowlThing(X1)
    | ~ rf(X1,X2)
    | ~ rf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_33,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_34,plain,
    ( ca(X1)
    | cSatisfiable(X1)
    | ~ rinvR(X1,X2)
    | ~ rinvF(X2,X3)
    | ~ ca(X3)
    | ~ rinvF(X1,X4)
    | ~ ca(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

cnf(c_0_35,plain,
    ( rinvR(esk1_1(X1),esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]),
    [final] ).

cnf(c_0_36,plain,
    ( rr(esk2_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_28]),
    [final] ).

cnf(c_0_37,plain,
    ( rr(esk3_1(X1),X1)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_30]),
    [final] ).

cnf(c_0_38,plain,
    ( X2 = X3
    | ~ rf(X1,X3)
    | ~ rf(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
    [final] ).

cnf(c_0_39,plain,
    ( ~ ca(X1)
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

cnf(c_0_40,plain,
    ( ca(esk3_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

cnf(c_0_41,plain,
    ( ca(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

fof(c_0_42,plain,
    ! [X100] :
      ( ( ~ xsd_string(X100)
        | ~ xsd_integer(X100) )
      & ( xsd_integer(X100)
        | xsd_string(X100) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).

cnf(c_0_43,plain,
    ( ca(esk1_1(X1))
    | cSatisfiable(esk1_1(X1))
    | ~ rinvF(esk2_1(X1),X2)
    | ~ rinvF(esk1_1(X1),X3)
    | ~ ca(X3)
    | ~ ca(X2)
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]),
    [final] ).

cnf(c_0_44,plain,
    ( rr(esk2_1(esk1_1(X1)),X1)
    | ~ cSatisfiable(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_36]),
    [final] ).

cnf(c_0_45,plain,
    ( rr(X1,esk1_1(X2))
    | ~ rr(X1,esk2_1(X2))
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_28]),
    [final] ).

cnf(c_0_46,plain,
    ( rr(esk1_1(esk1_1(X1)),X1)
    | ~ cSatisfiable(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_23]),
    [final] ).

cnf(c_0_47,plain,
    ( rr(esk3_1(esk1_1(X1)),X1)
    | ~ cSatisfiable(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_37]),
    [final] ).

cnf(c_0_48,plain,
    ( X1 = esk1_1(X2)
    | ~ rf(esk2_1(X2),X1)
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_21]),
    [final] ).

cnf(c_0_49,plain,
    ( rinvR(X1,esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_36]),
    [final] ).

cnf(c_0_50,plain,
    ( rr(X1,X2)
    | ~ rr(X1,esk2_1(X2))
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_36]),
    [final] ).

cnf(c_0_51,plain,
    ( rr(X1,X2)
    | ~ rr(X1,esk3_1(X2))
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_37]),
    [final] ).

cnf(c_0_52,plain,
    ( rinvR(X1,esk3_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_37]),
    [final] ).

cnf(c_0_53,plain,
    ( X1 = X2
    | ~ rf(esk3_1(X2),X1)
    | ~ cSatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_30]),
    [final] ).

cnf(c_0_54,plain,
    ( rinvF(X2,X1)
    | ~ rf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]),
    [final] ).

cnf(c_0_55,plain,
    ( ~ cSatisfiable(esk3_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]),
    [final] ).

cnf(c_0_56,plain,
    ( ~ cSatisfiable(esk2_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_41]),
    [final] ).

cnf(c_0_57,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]),
    [final] ).

cnf(c_0_58,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]),
    [final] ).

cnf(c_0_59,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_26]),
    [final] ).

cnf(c_0_60,plain,
    cSatisfiable(i2003_11_14_17_15_44810),
    inference(split_conjunct,[status(thm)],[axiom_7]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : KRS035+1 : TPTP v9.2.1. Released v3.1.0.
% 0.11/0.13  % 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
% 0.16/0.34  % Computer : n001.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Mon May  4 20:36:03 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 1.25/1.73  % Version  : CSE_E---1.7
% 1.25/1.73  % Problem  : theBenchmark.p
% 1.25/1.73  % SZS status Satisfiable for theBenchmark.p
% 1.25/1.73  % SZS output start Saturation
% See solution above
% 1.25/1.73  % Total time : 1.373s
%------------------------------------------------------------------------------