TSTP Solution File: KRS080+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n012.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 : Thu Aug 31 05:40:10 EDT 2023

% Result   : Unsatisfiable 0.19s 0.62s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   89 (  10 unt;  24 typ;   0 def)
%            Number of atoms       :  467 ( 116 equ)
%            Maximal formula atoms :  235 (   7 avg)
%            Number of connectives :  676 ( 274   ~; 344   |;  53   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   60 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  23   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-1 aty)
%            Number of variables   :   66 (   0 sgn;  24   !;   7   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    cUnsatisfiable: $i > $o ).

tff(decl_23,type,
    cowlNothing: $i > $o ).

tff(decl_24,type,
    cowlThing: $i > $o ).

tff(decl_25,type,
    cp: $i > $o ).

tff(decl_26,type,
    cp1: $i > $o ).

tff(decl_27,type,
    cp2: $i > $o ).

tff(decl_28,type,
    cp3: $i > $o ).

tff(decl_29,type,
    cp4: $i > $o ).

tff(decl_30,type,
    cp5: $i > $o ).

tff(decl_31,type,
    rr: ( $i * $i ) > $o ).

tff(decl_32,type,
    xsd_integer: $i > $o ).

tff(decl_33,type,
    xsd_string: $i > $o ).

tff(decl_34,type,
    i2003_11_14_17_19_21224: $i ).

tff(decl_35,type,
    esk1_1: $i > $i ).

tff(decl_36,type,
    esk2_1: $i > $i ).

tff(decl_37,type,
    esk3_1: $i > $i ).

tff(decl_38,type,
    esk4_1: $i > $i ).

tff(decl_39,type,
    esk5_1: $i > $i ).

tff(decl_40,type,
    esk6_1: $i > $i ).

tff(decl_41,type,
    esk7_1: $i > $i ).

tff(decl_42,type,
    esk8_1: $i > $i ).

tff(decl_43,type,
    esk9_1: $i > $i ).

tff(decl_44,type,
    esk10_1: $i > $i ).

tff(decl_45,type,
    esk11_1: $i > $i ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cUnsatisfiable(X4)
    <=> ( ? [X5] :
            ( rr(X4,X5)
            & cp(X5)
            & cp1(X5) )
        & ? [X5] :
            ( rr(X4,X5)
            & cp1(X5) )
        & ? [X5] :
            ( rr(X4,X5)
            & cp4(X5) )
        & ! [X6,X7,X8,X9] :
            ( ( rr(X4,X6)
              & rr(X4,X7)
              & rr(X4,X8)
              & rr(X4,X9) )
           => ( X6 = X7
              | X6 = X8
              | X6 = X9
              | X7 = X8
              | X7 = X9
              | X8 = X9 ) )
        & ? [X5] :
            ( rr(X4,X5)
            & cp2(X5) )
        & ? [X5] :
            ( rr(X4,X5)
            & cp3(X5) )
        & ? [X5] :
            ( rr(X4,X5)
            & cp(X5)
            & cp3(X5) )
        & ? [X5] :
            ( rr(X4,X5)
            & cp2(X5)
            & cp(X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_7,axiom,
    cUnsatisfiable(i2003_11_14_17_19_21224),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_5,axiom,
    ! [X4] :
      ( cp3(X4)
     => ~ ( cp4(X4)
          | cp5(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_4,axiom,
    ! [X4] :
      ( cp2(X4)
     => ~ ( cp4(X4)
          | cp5(X4)
          | cp3(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_3,axiom,
    ! [X4] :
      ( cp1(X4)
     => ~ ( cp2(X4)
          | cp4(X4)
          | cp5(X4)
          | cp3(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(c_0_5,plain,
    ! [X40,X44,X45,X46,X47,X52,X53,X54,X55,X60,X61,X62,X63] :
      ( ( rr(X40,esk1_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp(esk1_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp1(esk1_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( rr(X40,esk2_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp1(esk2_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( rr(X40,esk3_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp4(esk3_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( ~ rr(X40,X44)
        | ~ rr(X40,X45)
        | ~ rr(X40,X46)
        | ~ rr(X40,X47)
        | X44 = X45
        | X44 = X46
        | X44 = X47
        | X45 = X46
        | X45 = X47
        | X46 = X47
        | ~ cUnsatisfiable(X40) )
      & ( rr(X40,esk4_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp2(esk4_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( rr(X40,esk5_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp3(esk5_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( rr(X40,esk6_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp(esk6_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp3(esk6_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( rr(X40,esk7_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp2(esk7_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( cp(esk7_1(X40))
        | ~ cUnsatisfiable(X40) )
      & ( rr(X52,esk8_1(X52))
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( rr(X52,esk9_1(X52))
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( rr(X52,esk10_1(X52))
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( rr(X52,esk11_1(X52))
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( esk8_1(X52) != esk9_1(X52)
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( esk8_1(X52) != esk10_1(X52)
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( esk8_1(X52) != esk11_1(X52)
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( esk9_1(X52) != esk10_1(X52)
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( esk9_1(X52) != esk11_1(X52)
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) )
      & ( esk10_1(X52) != esk11_1(X52)
        | ~ rr(X52,X53)
        | ~ cp(X53)
        | ~ cp1(X53)
        | ~ rr(X52,X54)
        | ~ cp1(X54)
        | ~ rr(X52,X55)
        | ~ cp4(X55)
        | ~ rr(X52,X60)
        | ~ cp2(X60)
        | ~ rr(X52,X61)
        | ~ cp3(X61)
        | ~ rr(X52,X62)
        | ~ cp(X62)
        | ~ cp3(X62)
        | ~ rr(X52,X63)
        | ~ cp2(X63)
        | ~ cp(X63)
        | cUnsatisfiable(X52) ) ),
    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_6,plain,
    ( rr(X1,esk7_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_7,plain,
    cUnsatisfiable(i2003_11_14_17_19_21224),
    inference(split_conjunct,[status(thm)],[axiom_7]) ).

cnf(c_0_8,plain,
    ( X2 = X3
    | X2 = X4
    | X2 = X5
    | X3 = X4
    | X3 = X5
    | X4 = X5
    | ~ rr(X1,X2)
    | ~ rr(X1,X3)
    | ~ rr(X1,X4)
    | ~ rr(X1,X5)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    rr(i2003_11_14_17_19_21224,esk7_1(i2003_11_14_17_19_21224)),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    ( rr(X1,esk6_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ( X1 = esk7_1(i2003_11_14_17_19_21224)
    | X2 = esk7_1(i2003_11_14_17_19_21224)
    | X3 = esk7_1(i2003_11_14_17_19_21224)
    | X1 = X2
    | X1 = X3
    | X2 = X3
    | ~ rr(i2003_11_14_17_19_21224,X3)
    | ~ rr(i2003_11_14_17_19_21224,X2)
    | ~ rr(i2003_11_14_17_19_21224,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7])]) ).

cnf(c_0_12,plain,
    rr(i2003_11_14_17_19_21224,esk6_1(i2003_11_14_17_19_21224)),
    inference(spm,[status(thm)],[c_0_10,c_0_7]) ).

cnf(c_0_13,plain,
    ( rr(X1,esk5_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_14,plain,
    ! [X66] :
      ( ( ~ cp4(X66)
        | ~ cp3(X66) )
      & ( ~ cp5(X66)
        | ~ cp3(X66) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).

cnf(c_0_15,plain,
    ( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | X1 = esk6_1(i2003_11_14_17_19_21224)
    | X2 = esk6_1(i2003_11_14_17_19_21224)
    | X1 = esk7_1(i2003_11_14_17_19_21224)
    | X2 = esk7_1(i2003_11_14_17_19_21224)
    | X2 = X1
    | ~ rr(i2003_11_14_17_19_21224,X1)
    | ~ rr(i2003_11_14_17_19_21224,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    rr(i2003_11_14_17_19_21224,esk5_1(i2003_11_14_17_19_21224)),
    inference(spm,[status(thm)],[c_0_13,c_0_7]) ).

cnf(c_0_17,plain,
    ( rr(X1,esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,plain,
    ( ~ cp4(X1)
    | ~ cp3(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( cp4(esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,plain,
    ( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | X1 = esk5_1(i2003_11_14_17_19_21224)
    | X1 = esk7_1(i2003_11_14_17_19_21224)
    | X1 = esk6_1(i2003_11_14_17_19_21224)
    | ~ rr(i2003_11_14_17_19_21224,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    rr(i2003_11_14_17_19_21224,esk3_1(i2003_11_14_17_19_21224)),
    inference(spm,[status(thm)],[c_0_17,c_0_7]) ).

fof(c_0_22,plain,
    ! [X65] :
      ( ( ~ cp4(X65)
        | ~ cp2(X65) )
      & ( ~ cp5(X65)
        | ~ cp2(X65) )
      & ( ~ cp3(X65)
        | ~ cp2(X65) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).

cnf(c_0_23,plain,
    ( ~ cp3(esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk5_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    ( ~ cp4(X1)
    | ~ cp2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,plain,
    ( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | ~ cp3(esk5_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_7])]) ).

cnf(c_0_27,plain,
    ( cp3(esk5_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_28,plain,
    ( ~ cp2(esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_19]) ).

cnf(c_0_29,plain,
    ( esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_7])]) ).

fof(c_0_30,plain,
    ! [X64] :
      ( ( ~ cp2(X64)
        | ~ cp1(X64) )
      & ( ~ cp4(X64)
        | ~ cp1(X64) )
      & ( ~ cp5(X64)
        | ~ cp1(X64) )
      & ( ~ cp3(X64)
        | ~ cp1(X64) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).

cnf(c_0_31,plain,
    ( rr(X1,esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_32,plain,
    ( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | ~ cp2(esk7_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_7])]) ).

cnf(c_0_33,plain,
    ( cp2(esk7_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_34,plain,
    ( ~ cp4(X1)
    | ~ cp1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ( esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | X1 = esk3_1(i2003_11_14_17_19_21224)
    | X1 = esk7_1(i2003_11_14_17_19_21224)
    | X1 = esk6_1(i2003_11_14_17_19_21224)
    | ~ rr(i2003_11_14_17_19_21224,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_21]) ).

cnf(c_0_36,plain,
    rr(i2003_11_14_17_19_21224,esk2_1(i2003_11_14_17_19_21224)),
    inference(spm,[status(thm)],[c_0_31,c_0_7]) ).

cnf(c_0_37,plain,
    ( esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_7])]) ).

cnf(c_0_38,plain,
    ( ~ cp1(esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_19]) ).

cnf(c_0_39,plain,
    ( esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk2_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( ~ cp3(X1)
    | ~ cp2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_41,plain,
    ( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | ~ cp3(esk6_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_37]),c_0_7])]) ).

cnf(c_0_42,plain,
    ( cp3(esk6_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_43,plain,
    ( esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | ~ cp1(esk2_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_7])]) ).

cnf(c_0_44,plain,
    ( cp1(esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_45,plain,
    ( ~ cp2(esk5_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_27]) ).

cnf(c_0_46,plain,
    ( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_7])]) ).

cnf(c_0_47,plain,
    ( esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_7])]) ).

cnf(c_0_48,plain,
    ( esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | ~ cp2(esk7_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_7])]) ).

cnf(c_0_49,plain,
    ( esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | ~ cp2(esk7_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_47]),c_0_7])]) ).

cnf(c_0_50,plain,
    ( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_7])]) ).

cnf(c_0_51,plain,
    ( esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_33]),c_0_7])]) ).

cnf(c_0_52,plain,
    ( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | cp3(esk6_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_50]),c_0_7])]) ).

cnf(c_0_53,plain,
    ( ~ cp2(X1)
    | ~ cp1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_54,plain,
    ( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_51]),c_0_7])]),c_0_52]) ).

cnf(c_0_55,plain,
    ( ~ cp3(X1)
    | ~ cp1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_56,plain,
    ( ~ cp1(esk7_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_33]) ).

cnf(c_0_57,plain,
    ( esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | cp1(esk7_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_54]),c_0_7])]) ).

cnf(c_0_58,plain,
    ( ~ cp1(esk5_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_27]) ).

cnf(c_0_59,plain,
    ( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_7])]) ).

cnf(c_0_60,plain,
    ( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
    | ~ cp1(esk6_1(i2003_11_14_17_19_21224)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_7])]) ).

cnf(c_0_61,plain,
    esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_59]),c_0_7])]),c_0_60]) ).

cnf(c_0_62,plain,
    ( ~ cp2(esk6_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_42]) ).

cnf(c_0_63,plain,
    cp2(esk6_1(i2003_11_14_17_19_21224)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_61]),c_0_7])]) ).

cnf(c_0_64,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34  % Computer : n012.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 Aug 28 02:21:54 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.19/0.58  start to proof: theBenchmark
% 0.19/0.62  % Version  : CSE_E---1.5
% 0.19/0.62  % Problem  : theBenchmark.p
% 0.19/0.62  % Proof found
% 0.19/0.62  % SZS status Theorem for theBenchmark.p
% 0.19/0.62  % SZS output start Proof
% See solution above
% 0.19/0.63  % Total time : 0.027000 s
% 0.19/0.63  % SZS output end Proof
% 0.19/0.63  % Total time : 0.030000 s
%------------------------------------------------------------------------------