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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS048+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 : n031.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 1.28s 1.72s
% Output   : Saturation 1.28s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_12,axiom,
    ! [X4] :
      ( ca_Vx5(X4)
    <=> ? [X5] :
          ( rr(X4,X5)
          & ca_Ax4(X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cSatisfiable(X4)
    <=> ( cp1(X4)
        & ? [X5] :
            ( rr(X4,X5)
            & ca_Vx5(X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_16,axiom,
    ! [X4,X5,X8] :
      ( ( rr(X4,X5)
        & rr(X5,X8) )
     => rr(X4,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

fof(axiom_17,axiom,
    cSatisfiable(i2003_11_14_17_16_32989),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(axiom_15,axiom,
    ! [X4,X5] :
      ( rinvR(X4,X5)
    <=> rr(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(axiom_6,axiom,
    ! [X4] :
      ( ca_Cx2(X4)
    <=> ~ ? [X5] : ra_Px2(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_8,axiom,
    ! [X4] :
      ( ca_Cx2xcomp(X4)
    <=> ? [X6] : ra_Px2(X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(axiom_5,axiom,
    ! [X4] :
      ( ca_Ax4(X4)
    <=> ( cp1(X4)
        & ! [X5] :
            ( rinvR(X4,X5)
           => ca_Cx2(X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_10,axiom,
    ! [X4] :
      ( ca_Cx3xcomp(X4)
    <=> ? [X6] : ra_Px3(X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(axiom_9,axiom,
    ! [X4] :
      ( ca_Cx3(X4)
    <=> ~ ? [X5] : ra_Px3(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(axiom_7,axiom,
    ! [X4] :
      ( ca_Cx2xcomp(X4)
    <=> ( cp1(X4)
        & ca_Cx3(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_11,axiom,
    ! [X4] :
      ( ca_Cx3xcomp(X4)
    <=> ! [X5] :
          ( rr(X4,X5)
         => cp1(X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(axiom_4,axiom,
    ! [X4] :
      ( cp1xcomp(X4)
    <=> ? [X6] : ra_Px1(X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_3,axiom,
    ! [X4] :
      ( cp1(X4)
    <=> ~ ? [X5] : ra_Px1(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

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

fof(axiom_13,axiom,
    ! [X4] :
      ( cowlThing(X4)
     => ! [X6,X7] :
          ( ( rf(X4,X6)
            & rf(X4,X7) )
         => X6 = X7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

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

fof(axiom_14,axiom,
    ! [X4,X5] :
      ( rinvF(X4,X5)
    <=> rf(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(c_0_18,plain,
    ! [X217,X219,X220] :
      ( ( rr(X217,esk10_1(X217))
        | ~ ca_Vx5(X217) )
      & ( ca_Ax4(esk10_1(X217))
        | ~ ca_Vx5(X217) )
      & ( ~ rr(X219,X220)
        | ~ ca_Ax4(X220)
        | ca_Vx5(X219) ) ),
    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_12])])])])])]) ).

fof(c_0_19,plain,
    ! [X180,X182,X183] :
      ( ( cp1(X180)
        | ~ cSatisfiable(X180) )
      & ( rr(X180,esk1_1(X180))
        | ~ cSatisfiable(X180) )
      & ( ca_Vx5(esk1_1(X180))
        | ~ cSatisfiable(X180) )
      & ( ~ cp1(X182)
        | ~ rr(X182,X183)
        | ~ ca_Vx5(X183)
        | cSatisfiable(X182) ) ),
    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])])])])])]) ).

cnf(c_0_20,plain,
    ( rr(X1,esk10_1(X1))
    | ~ ca_Vx5(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]),
    [final] ).

cnf(c_0_21,plain,
    ( ca_Vx5(esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

fof(c_0_22,plain,
    ! [X228,X229,X230] :
      ( ~ rr(X228,X229)
      | ~ rr(X229,X230)
      | rr(X228,X230) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_16])]) ).

cnf(c_0_23,plain,
    ( rr(esk1_1(X1),esk10_1(esk1_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]),
    [final] ).

cnf(c_0_24,plain,
    cSatisfiable(i2003_11_14_17_16_32989),
    inference(split_conjunct,[status(thm)],[axiom_17]),
    [final] ).

cnf(c_0_25,plain,
    ( rr(X1,X3)
    | ~ rr(X1,X2)
    | ~ rr(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]),
    [final] ).

cnf(c_0_26,plain,
    rr(esk1_1(i2003_11_14_17_16_32989),esk10_1(esk1_1(i2003_11_14_17_16_32989))),
    inference(spm,[status(thm)],[c_0_23,c_0_24]),
    [final] ).

cnf(c_0_27,plain,
    ( rr(X1,esk1_1(X1))
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

cnf(c_0_28,plain,
    ( ca_Ax4(esk10_1(X1))
    | ~ ca_Vx5(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]),
    [final] ).

cnf(c_0_29,plain,
    ( rr(X1,esk10_1(esk1_1(i2003_11_14_17_16_32989)))
    | ~ rr(X1,esk1_1(i2003_11_14_17_16_32989)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]),
    [final] ).

cnf(c_0_30,plain,
    rr(i2003_11_14_17_16_32989,esk1_1(i2003_11_14_17_16_32989)),
    inference(spm,[status(thm)],[c_0_27,c_0_24]),
    [final] ).

cnf(c_0_31,plain,
    ( ca_Ax4(esk10_1(esk1_1(X1)))
    | ~ cSatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_21]),
    [final] ).

cnf(c_0_32,plain,
    ( ca_Vx5(X1)
    | ~ rr(X1,X2)
    | ~ ca_Ax4(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]),
    [final] ).

cnf(c_0_33,plain,
    rr(i2003_11_14_17_16_32989,esk10_1(esk1_1(i2003_11_14_17_16_32989))),
    inference(spm,[status(thm)],[c_0_29,c_0_30]),
    [final] ).

cnf(c_0_34,plain,
    ca_Ax4(esk10_1(esk1_1(i2003_11_14_17_16_32989))),
    inference(spm,[status(thm)],[c_0_31,c_0_24]),
    [final] ).

fof(c_0_35,plain,
    ! [X226,X227] :
      ( ( ~ rinvR(X226,X227)
        | rr(X227,X226) )
      & ( ~ rr(X227,X226)
        | rinvR(X226,X227) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])]) ).

cnf(c_0_36,plain,
    ca_Vx5(i2003_11_14_17_16_32989),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),
    [final] ).

fof(c_0_37,plain,
    ! [X196,X197,X198] :
      ( ( ~ ca_Cx2(X196)
        | ~ ra_Px2(X196,X197) )
      & ( ra_Px2(X198,esk5_1(X198))
        | ca_Cx2(X198) ) ),
    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_6])])])])]) ).

fof(c_0_38,plain,
    ! [X201,X203,X204] :
      ( ( ~ ca_Cx2xcomp(X201)
        | ra_Px2(X201,esk6_1(X201)) )
      & ( ~ ra_Px2(X203,X204)
        | ca_Cx2xcomp(X203) ) ),
    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_8])])])])]) ).

fof(c_0_39,plain,
    ! [X192,X193,X194] :
      ( ( cp1(X192)
        | ~ ca_Ax4(X192) )
      & ( ~ rinvR(X192,X193)
        | ca_Cx2(X193)
        | ~ ca_Ax4(X192) )
      & ( rinvR(X194,esk4_1(X194))
        | ~ cp1(X194)
        | ca_Ax4(X194) )
      & ( ~ ca_Cx2(esk4_1(X194))
        | ~ cp1(X194)
        | ca_Ax4(X194) ) ),
    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])])])])])]) ).

cnf(c_0_40,plain,
    ( rinvR(X2,X1)
    | ~ rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]),
    [final] ).

cnf(c_0_41,plain,
    rr(i2003_11_14_17_16_32989,esk10_1(i2003_11_14_17_16_32989)),
    inference(spm,[status(thm)],[c_0_20,c_0_36]),
    [final] ).

fof(c_0_42,plain,
    ! [X209,X211,X212] :
      ( ( ~ ca_Cx3xcomp(X209)
        | ra_Px3(X209,esk8_1(X209)) )
      & ( ~ ra_Px3(X211,X212)
        | ca_Cx3xcomp(X211) ) ),
    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_10])])])])]) ).

fof(c_0_43,plain,
    ! [X205,X206,X207] :
      ( ( ~ ca_Cx3(X205)
        | ~ ra_Px3(X205,X206) )
      & ( ra_Px3(X207,esk7_1(X207))
        | ca_Cx3(X207) ) ),
    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_9])])])])]) ).

cnf(c_0_44,plain,
    ( ~ ca_Cx2(X1)
    | ~ ra_Px2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]),
    [final] ).

cnf(c_0_45,plain,
    ( ra_Px2(X1,esk6_1(X1))
    | ~ ca_Cx2xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]),
    [final] ).

cnf(c_0_46,plain,
    ( ca_Cx2(X2)
    | ~ rinvR(X1,X2)
    | ~ ca_Ax4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]),
    [final] ).

cnf(c_0_47,plain,
    rinvR(esk10_1(i2003_11_14_17_16_32989),i2003_11_14_17_16_32989),
    inference(spm,[status(thm)],[c_0_40,c_0_41]),
    [final] ).

cnf(c_0_48,plain,
    ca_Ax4(esk10_1(i2003_11_14_17_16_32989)),
    inference(spm,[status(thm)],[c_0_28,c_0_36]),
    [final] ).

fof(c_0_49,plain,
    ! [X200] :
      ( ( cp1(X200)
        | ~ ca_Cx2xcomp(X200) )
      & ( ca_Cx3(X200)
        | ~ ca_Cx2xcomp(X200) )
      & ( ~ cp1(X200)
        | ~ ca_Cx3(X200)
        | ca_Cx2xcomp(X200) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).

cnf(c_0_50,plain,
    ( ca_Cx3xcomp(X1)
    | ~ ra_Px3(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]),
    [final] ).

cnf(c_0_51,plain,
    ( ra_Px3(X1,esk7_1(X1))
    | ca_Cx3(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]),
    [final] ).

fof(c_0_52,plain,
    ! [X213,X214,X215] :
      ( ( ~ ca_Cx3xcomp(X213)
        | ~ rr(X213,X214)
        | cp1(X214) )
      & ( rr(X215,esk9_1(X215))
        | ca_Cx3xcomp(X215) )
      & ( ~ cp1(esk9_1(X215))
        | ca_Cx3xcomp(X215) ) ),
    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_11])])])])])]) ).

cnf(c_0_53,plain,
    ( ~ ca_Cx2xcomp(X1)
    | ~ ca_Cx2(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]),
    [final] ).

cnf(c_0_54,plain,
    ca_Cx2(i2003_11_14_17_16_32989),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),
    [final] ).

cnf(c_0_55,plain,
    ( ca_Cx2xcomp(X1)
    | ~ cp1(X1)
    | ~ ca_Cx3(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_56,plain,
    ( ca_Cx3xcomp(X1)
    | ca_Cx3(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]),
    [final] ).

cnf(c_0_57,plain,
    ( cp1(X1)
    | ~ cSatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

cnf(c_0_58,plain,
    ( ~ ca_Cx3(X1)
    | ~ ra_Px3(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]),
    [final] ).

cnf(c_0_59,plain,
    ( ra_Px3(X1,esk8_1(X1))
    | ~ ca_Cx3xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]),
    [final] ).

cnf(c_0_60,plain,
    ( ca_Cx2xcomp(X1)
    | ~ ra_Px2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]),
    [final] ).

cnf(c_0_61,plain,
    ( ra_Px2(X1,esk5_1(X1))
    | ca_Cx2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]),
    [final] ).

cnf(c_0_62,plain,
    ( cp1(X2)
    | ~ ca_Cx3xcomp(X1)
    | ~ rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]),
    [final] ).

cnf(c_0_63,plain,
    ~ ca_Cx2xcomp(i2003_11_14_17_16_32989),
    inference(spm,[status(thm)],[c_0_53,c_0_54]),
    [final] ).

cnf(c_0_64,plain,
    ( ca_Cx3xcomp(X1)
    | ca_Cx2xcomp(X1)
    | ~ cp1(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]),
    [final] ).

cnf(c_0_65,plain,
    cp1(i2003_11_14_17_16_32989),
    inference(spm,[status(thm)],[c_0_57,c_0_24]),
    [final] ).

fof(c_0_66,plain,
    ! [X188,X190,X191] :
      ( ( ~ cp1xcomp(X188)
        | ra_Px1(X188,esk3_1(X188)) )
      & ( ~ ra_Px1(X190,X191)
        | cp1xcomp(X190) ) ),
    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_67,plain,
    ! [X184,X185,X186] :
      ( ( ~ cp1(X184)
        | ~ ra_Px1(X184,X185) )
      & ( ra_Px1(X186,esk2_1(X186))
        | cp1(X186) ) ),
    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])])])])]) ).

cnf(c_0_68,plain,
    ( ~ ca_Cx3xcomp(X1)
    | ~ ca_Cx3(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]),
    [final] ).

cnf(c_0_69,plain,
    ( ca_Cx3(X1)
    | ~ ca_Cx2xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_70,plain,
    ( ca_Ax4(X1)
    | ~ ca_Cx2(esk4_1(X1))
    | ~ cp1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]),
    [final] ).

cnf(c_0_71,plain,
    ( ca_Cx2xcomp(X1)
    | ca_Cx2(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]),
    [final] ).

fof(c_0_72,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

cnf(c_0_73,plain,
    rinvR(esk10_1(esk1_1(i2003_11_14_17_16_32989)),esk1_1(i2003_11_14_17_16_32989)),
    inference(spm,[status(thm)],[c_0_40,c_0_26]),
    [final] ).

cnf(c_0_74,plain,
    ( cSatisfiable(X1)
    | ~ cp1(X1)
    | ~ rr(X1,X2)
    | ~ ca_Vx5(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

cnf(c_0_75,plain,
    ( cp1(esk1_1(i2003_11_14_17_16_32989))
    | ~ ca_Cx3xcomp(i2003_11_14_17_16_32989) ),
    inference(spm,[status(thm)],[c_0_62,c_0_30]) ).

cnf(c_0_76,plain,
    ca_Cx3xcomp(i2003_11_14_17_16_32989),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),
    [final] ).

cnf(c_0_77,plain,
    ( cp1xcomp(X1)
    | ~ ra_Px1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]),
    [final] ).

cnf(c_0_78,plain,
    ( ra_Px1(X1,esk2_1(X1))
    | cp1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_79,plain,
    ( ~ ca_Cx3xcomp(X1)
    | ~ ca_Cx2xcomp(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]),
    [final] ).

cnf(c_0_80,plain,
    ( ca_Cx2xcomp(esk4_1(X1))
    | ca_Ax4(X1)
    | ~ cp1(X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]),
    [final] ).

fof(c_0_81,plain,
    ! [X221,X222,X223] :
      ( ~ cowlThing(X221)
      | ~ rf(X221,X222)
      | ~ rf(X221,X223)
      | X222 = X223 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])])]) ).

fof(c_0_82,plain,
    ! [X178] :
      ( cowlThing(X178)
      & ~ cowlNothing(X178) ),
    inference(variable_rename,[status(thm)],[c_0_72]) ).

fof(c_0_83,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_84,plain,
    ca_Cx2(esk1_1(i2003_11_14_17_16_32989)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_73]),c_0_34])]),
    [final] ).

cnf(c_0_85,plain,
    ( cSatisfiable(esk1_1(i2003_11_14_17_16_32989))
    | ~ cp1(esk1_1(i2003_11_14_17_16_32989))
    | ~ ca_Vx5(esk10_1(esk1_1(i2003_11_14_17_16_32989))) ),
    inference(spm,[status(thm)],[c_0_74,c_0_26]) ).

cnf(c_0_86,plain,
    cp1(esk1_1(i2003_11_14_17_16_32989)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]),
    [final] ).

cnf(c_0_87,plain,
    ( rr(X2,X1)
    | ~ rinvR(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]),
    [final] ).

cnf(c_0_88,plain,
    ( rinvR(X1,esk4_1(X1))
    | ca_Ax4(X1)
    | ~ cp1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]),
    [final] ).

cnf(c_0_89,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ~ cp1xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]),
    [final] ).

cnf(c_0_90,plain,
    ( cp1xcomp(X1)
    | cp1(X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]),
    [final] ).

cnf(c_0_91,plain,
    ( cp1(X1)
    | ~ ca_Cx2xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_92,plain,
    ( ca_Ax4(X1)
    | ~ cp1(X1)
    | ~ ca_Cx3xcomp(esk4_1(X1)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]),
    [final] ).

cnf(c_0_93,plain,
    ( rr(X1,esk9_1(X1))
    | ca_Cx3xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]),
    [final] ).

cnf(c_0_94,plain,
    ( X2 = X3
    | ~ cowlThing(X1)
    | ~ rf(X1,X2)
    | ~ rf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_95,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

fof(c_0_96,plain,
    ! [X224,X225] :
      ( ( ~ rinvF(X224,X225)
        | rf(X225,X224) )
      & ( ~ rf(X225,X224)
        | rinvF(X224,X225) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])]) ).

fof(c_0_97,plain,
    ! [X179] :
      ( ( ~ xsd_string(X179)
        | ~ xsd_integer(X179) )
      & ( xsd_integer(X179)
        | xsd_string(X179) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])]) ).

cnf(c_0_98,plain,
    ~ ca_Cx2xcomp(esk1_1(i2003_11_14_17_16_32989)),
    inference(spm,[status(thm)],[c_0_53,c_0_84]),
    [final] ).

cnf(c_0_99,plain,
    ( cp1(X1)
    | ~ ca_Ax4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]),
    [final] ).

cnf(c_0_100,plain,
    ( rr(X1,esk10_1(esk1_1(i2003_11_14_17_16_32989)))
    | ~ rr(X1,i2003_11_14_17_16_32989) ),
    inference(spm,[status(thm)],[c_0_25,c_0_33]),
    [final] ).

cnf(c_0_101,plain,
    ( rr(X1,esk10_1(i2003_11_14_17_16_32989))
    | ~ rr(X1,i2003_11_14_17_16_32989) ),
    inference(spm,[status(thm)],[c_0_25,c_0_41]),
    [final] ).

cnf(c_0_102,plain,
    ( cSatisfiable(esk1_1(i2003_11_14_17_16_32989))
    | ~ ca_Vx5(esk10_1(esk1_1(i2003_11_14_17_16_32989))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]),
    [final] ).

cnf(c_0_103,plain,
    ( rr(esk4_1(X1),X1)
    | ca_Ax4(X1)
    | ~ cp1(X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]),
    [final] ).

cnf(c_0_104,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | cp1(X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]),
    [final] ).

cnf(c_0_105,plain,
    ( cp1(esk4_1(X1))
    | ca_Ax4(X1)
    | ~ cp1(X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_80]),
    [final] ).

cnf(c_0_106,plain,
    ( rr(esk4_1(X1),esk9_1(esk4_1(X1)))
    | ca_Ax4(X1)
    | ~ cp1(X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]),
    [final] ).

cnf(c_0_107,plain,
    ( rr(X1,esk1_1(i2003_11_14_17_16_32989))
    | ~ rr(X1,i2003_11_14_17_16_32989) ),
    inference(spm,[status(thm)],[c_0_25,c_0_30]),
    [final] ).

cnf(c_0_108,plain,
    ( X2 = X3
    | ~ rf(X1,X3)
    | ~ rf(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]),
    [final] ).

cnf(c_0_109,plain,
    ( rinvF(X2,X1)
    | ~ rf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]),
    [final] ).

cnf(c_0_110,plain,
    ( rf(X2,X1)
    | ~ rinvF(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]),
    [final] ).

cnf(c_0_111,plain,
    ( ca_Cx3xcomp(X1)
    | ~ cp1(esk9_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]),
    [final] ).

cnf(c_0_112,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]),
    [final] ).

cnf(c_0_113,plain,
    ( ~ cp1(X1)
    | ~ ra_Px1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_114,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]),
    [final] ).

cnf(c_0_115,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_82]),
    [final] ).

cnf(c_0_116,plain,
    ca_Cx3xcomp(esk1_1(i2003_11_14_17_16_32989)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_64]),c_0_86])]),
    [final] ).

cnf(c_0_117,plain,
    rinvR(esk10_1(esk1_1(i2003_11_14_17_16_32989)),i2003_11_14_17_16_32989),
    inference(spm,[status(thm)],[c_0_40,c_0_33]),
    [final] ).

cnf(c_0_118,plain,
    cp1(esk10_1(i2003_11_14_17_16_32989)),
    inference(spm,[status(thm)],[c_0_99,c_0_48]),
    [final] ).

cnf(c_0_119,plain,
    ca_Vx5(esk1_1(i2003_11_14_17_16_32989)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_34])]),
    [final] ).

cnf(c_0_120,plain,
    cp1(esk10_1(esk1_1(i2003_11_14_17_16_32989))),
    inference(spm,[status(thm)],[c_0_99,c_0_34]),
    [final] ).

cnf(c_0_121,plain,
    rinvR(esk1_1(i2003_11_14_17_16_32989),i2003_11_14_17_16_32989),
    inference(spm,[status(thm)],[c_0_40,c_0_30]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS048+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12  % 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
% 0.16/0.33  % Computer : n031.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 20:37:38 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.28/1.72  % Version  : CSE_E---1.7
% 1.28/1.72  % Problem  : theBenchmark.p
% 1.28/1.72  % SZS status Satisfiable for theBenchmark.p
% 1.28/1.72  % SZS output start Saturation
% See solution above
% 1.28/1.73  % Total time : 1.371s
%------------------------------------------------------------------------------