TSTP Solution File: CSR012+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR012+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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  : 600s
% DateTime : Fri Jul 15 02:46:32 EDT 2022

% Result   : Theorem 8.08s 2.48s
% Output   : CNFRefutation 8.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   59 (  29 unt;   0 def)
%            Number of atoms       :  369 ( 177 equ)
%            Maximal formula atoms :  194 (   6 avg)
%            Number of connectives :  415 ( 105   ~; 224   |;  77   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :  112 (   4 sgn  64   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(change_of_waterLevel,axiom,
    ! [X10,X5,X11,X7] :
      ( ( holdsAt(waterLevel(X10),X5)
        & X11 = plus(X10,X7) )
     => trajectory(filling,X5,waterLevel(X11),X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).

fof(waterLevel_0,hypothesis,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).

fof(symmetry_of_plus,axiom,
    ! [X12,X13] : plus(X12,X13) = plus(X13,X12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(less_or_equal,axiom,
    ! [X12,X13] :
      ( less_or_equal(X12,X13)
    <=> ( less(X12,X13)
        | X12 = X13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).

fof(plus0_1,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).

fof(less1,axiom,
    ! [X12] :
      ( less(X12,n1)
    <=> less_or_equal(X12,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).

fof(waterLevel_1,conjecture,
    holdsAt(waterLevel(n1),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_1) ).

fof(initiates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> ( ( X4 = tapOn
          & X2 = filling )
        | ( X4 = overflow
          & X2 = spilling )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = tapOff
            & X2 = waterLevel(X9) )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = overflow
            & X2 = waterLevel(X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).

fof(change_holding,axiom,
    ! [X4,X5,X2,X6,X7] :
      ( ( happens(X4,X5)
        & initiates(X4,X2,X5)
        & less(n0,X7)
        & trajectory(X2,X5,X6,X7)
        & ~ stoppedIn(X5,X2,plus(X5,X7)) )
     => holdsAt(X6,plus(X5,X7)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).

fof(happens_all_defn,axiom,
    ! [X4,X5] :
      ( happens(X4,X5)
    <=> ( ( X4 = tapOn
          & X5 = n0 )
        | ( holdsAt(waterLevel(n3),X5)
          & holdsAt(filling,X5)
          & X4 = overflow ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).

fof(stoppedin_defn,axiom,
    ! [X1,X2,X3] :
      ( stoppedIn(X1,X2,X3)
    <=> ? [X4,X5] :
          ( happens(X4,X5)
          & less(X1,X5)
          & less(X5,X3)
          & terminates(X4,X2,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).

fof(less0,axiom,
    ~ ? [X12] : less(X12,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).

fof(c_0_12,plain,
    ! [X84,X85,X86,X87] :
      ( ~ holdsAt(waterLevel(X84),X85)
      | X86 != plus(X84,X87)
      | trajectory(filling,X85,waterLevel(X86),X87) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).

cnf(c_0_13,plain,
    ( trajectory(filling,X2,waterLevel(X3),X4)
    | ~ holdsAt(waterLevel(X1),X2)
    | X3 != plus(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_14,plain,
    ( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
    | ~ holdsAt(waterLevel(X2),X1) ),
    inference(er,[status(thm)],[c_0_13]) ).

cnf(c_0_15,hypothesis,
    holdsAt(waterLevel(n0),n0),
    inference(split_conjunct,[status(thm)],[waterLevel_0]) ).

fof(c_0_16,plain,
    ! [X95,X96] : plus(X95,X96) = plus(X96,X95),
    inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).

fof(c_0_17,plain,
    ! [X97,X98] :
      ( ( ~ less_or_equal(X97,X98)
        | less(X97,X98)
        | X97 = X98 )
      & ( ~ less(X97,X98)
        | less_or_equal(X97,X98) )
      & ( X97 != X98
        | less_or_equal(X97,X98) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).

fof(c_0_18,plain,
    ! [X5,X4,X2] :
      ( epred1_3(X2,X4,X5)
    <=> ( ( X4 = tapOn
          & X2 = filling )
        | ( X4 = overflow
          & X2 = spilling )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = tapOff
            & X2 = waterLevel(X9) )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = overflow
            & X2 = waterLevel(X9) ) ) ),
    introduced(definition) ).

cnf(c_0_19,hypothesis,
    trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

fof(c_0_22,plain,
    ! [X100] :
      ( ( ~ less(X100,n1)
        | less_or_equal(X100,n0) )
      & ( ~ less_or_equal(X100,n0)
        | less(X100,n1) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).

cnf(c_0_23,plain,
    ( less_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_24,negated_conjecture,
    ~ holdsAt(waterLevel(n1),n1),
    inference(assume_negation,[status(cth)],[waterLevel_1]) ).

fof(c_0_25,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> epred1_3(X2,X4,X5) ),
    inference(apply_def,[status(thm)],[initiates_all_defn,c_0_18]) ).

fof(c_0_26,plain,
    ! [X112,X113,X114,X117,X118,X119,X120,X121] :
      ( ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X118 != tapOn
        | X119 != filling
        | epred1_3(X119,X118,X117) )
      & ( X118 != overflow
        | X119 != spilling
        | epred1_3(X119,X118,X117) )
      & ( ~ holdsAt(waterLevel(X120),X117)
        | X118 != tapOff
        | X119 != waterLevel(X120)
        | epred1_3(X119,X118,X117) )
      & ( ~ holdsAt(waterLevel(X121),X117)
        | X118 != overflow
        | X119 != waterLevel(X121)
        | epred1_3(X119,X118,X117) ) ),
    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_18])])])])])]) ).

fof(c_0_27,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ happens(X34,X35)
      | ~ initiates(X34,X36,X35)
      | ~ less(n0,X38)
      | ~ trajectory(X36,X35,X37,X38)
      | stoppedIn(X35,X36,plus(X35,X38))
      | holdsAt(X37,plus(X35,X38)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[change_holding])])]) ).

cnf(c_0_28,hypothesis,
    trajectory(filling,n0,waterLevel(plus(X1,n0)),X1),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_29,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[c_0_21,c_0_20]) ).

cnf(c_0_30,plain,
    ( less(X1,n1)
    | ~ less_or_equal(X1,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,plain,
    less_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_23]) ).

fof(c_0_32,negated_conjecture,
    ~ holdsAt(waterLevel(n1),n1),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_33,plain,
    ! [X68,X69,X70] :
      ( ( ~ initiates(X68,X69,X70)
        | epred1_3(X69,X68,X70) )
      & ( ~ epred1_3(X69,X68,X70)
        | initiates(X68,X69,X70) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).

cnf(c_0_34,plain,
    ( epred1_3(X2,X1,X3)
    | X1 != tapOn
    | X2 != filling ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_35,plain,
    ! [X82,X83] :
      ( ( holdsAt(waterLevel(n3),X83)
        | X82 = tapOn
        | ~ happens(X82,X83) )
      & ( holdsAt(filling,X83)
        | X82 = tapOn
        | ~ happens(X82,X83) )
      & ( X82 = overflow
        | X82 = tapOn
        | ~ happens(X82,X83) )
      & ( holdsAt(waterLevel(n3),X83)
        | X83 = n0
        | ~ happens(X82,X83) )
      & ( holdsAt(filling,X83)
        | X83 = n0
        | ~ happens(X82,X83) )
      & ( X82 = overflow
        | X83 = n0
        | ~ happens(X82,X83) )
      & ( X82 != tapOn
        | X83 != n0
        | happens(X82,X83) )
      & ( ~ holdsAt(waterLevel(n3),X83)
        | ~ holdsAt(filling,X83)
        | X82 != overflow
        | happens(X82,X83) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).

cnf(c_0_36,plain,
    ( stoppedIn(X2,X3,plus(X2,X4))
    | holdsAt(X5,plus(X2,X4))
    | ~ happens(X1,X2)
    | ~ initiates(X1,X3,X2)
    | ~ less(n0,X4)
    | ~ trajectory(X3,X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,hypothesis,
    trajectory(filling,n0,waterLevel(n1),n1),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_38,plain,
    less(n0,n1),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ~ holdsAt(waterLevel(n1),n1),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ( initiates(X2,X1,X3)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,plain,
    epred1_3(filling,tapOn,X1),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])]) ).

cnf(c_0_42,plain,
    ( happens(X1,X2)
    | X1 != tapOn
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_43,plain,
    ! [X14,X15,X16,X19,X20,X21,X22,X23] :
      ( ( happens(esk1_3(X14,X15,X16),esk2_3(X14,X15,X16))
        | ~ stoppedIn(X14,X15,X16) )
      & ( less(X14,esk2_3(X14,X15,X16))
        | ~ stoppedIn(X14,X15,X16) )
      & ( less(esk2_3(X14,X15,X16),X16)
        | ~ stoppedIn(X14,X15,X16) )
      & ( terminates(esk1_3(X14,X15,X16),X15,esk2_3(X14,X15,X16))
        | ~ stoppedIn(X14,X15,X16) )
      & ( ~ happens(X22,X23)
        | ~ less(X19,X23)
        | ~ less(X23,X21)
        | ~ terminates(X22,X20,X23)
        | stoppedIn(X19,X20,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)],[stoppedin_defn])])])])])]) ).

cnf(c_0_44,hypothesis,
    ( stoppedIn(n0,filling,n1)
    | ~ initiates(X1,filling,n0)
    | ~ happens(X1,n0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_20]),c_0_29]),c_0_20]),c_0_29]),c_0_38])]),c_0_39]) ).

cnf(c_0_45,plain,
    initiates(tapOn,filling,X1),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,plain,
    happens(tapOn,n0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])]) ).

cnf(c_0_47,plain,
    ( less(esk2_3(X1,X2,X3),X3)
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_48,plain,
    stoppedIn(n0,filling,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).

cnf(c_0_49,plain,
    ( less_or_equal(X1,n0)
    | ~ less(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_50,plain,
    less(esk2_3(n0,filling,n1),n1),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_51,plain,
    ! [X99] : ~ less(X99,n0),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).

cnf(c_0_52,plain,
    ( less(X1,esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ less_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_54,plain,
    less_or_equal(esk2_3(n0,filling,n1),n0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,plain,
    ~ less(X1,n0),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_56,plain,
    less(n0,esk2_3(n0,filling,n1)),
    inference(spm,[status(thm)],[c_0_52,c_0_48]) ).

cnf(c_0_57,plain,
    esk2_3(n0,filling,n1) = n0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_58,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR012+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n027.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 : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 10 12:32:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.08/2.48  # ENIGMATIC: Solved by autoschedule:
% 8.08/2.48  # No SInE strategy applied
% 8.08/2.48  # Trying AutoSched0 for 150 seconds
% 8.08/2.48  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.08/2.48  # and selection function SelectCQArNTNpEqFirst.
% 8.08/2.48  #
% 8.08/2.48  # Preprocessing time       : 0.021 s
% 8.08/2.48  # Presaturation interreduction done
% 8.08/2.48  
% 8.08/2.48  # Proof found!
% 8.08/2.48  # SZS status Theorem
% 8.08/2.48  # SZS output start CNFRefutation
% See solution above
% 8.08/2.48  # Training examples: 0 positive, 0 negative
% 8.08/2.48  
% 8.08/2.48  # -------------------------------------------------
% 8.08/2.48  # User time                : 0.045 s
% 8.08/2.48  # System time              : 0.006 s
% 8.08/2.48  # Total time               : 0.051 s
% 8.08/2.48  # Maximum resident set size: 7120 pages
% 8.08/2.48  
%------------------------------------------------------------------------------