TSTP Solution File: KRS104+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS104+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 : 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 : Thu Aug 31 05:40:16 EDT 2023

% Result   : Unsatisfiable 0.22s 0.65s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  128 (   9 unt;  41 typ;   0 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  246 ( 105   ~;  93   |;  29   &)
%                                         (  17 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   47 (  40   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  26 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   1 con; 0-1 aty)
%            Number of variables   :  126 (  11 sgn;  62   !;  12   ?;   0   :)

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

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

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

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

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

tff(decl_27,type,
    ra_Px5: ( $i * $i ) > $o ).

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

tff(decl_29,type,
    ca_Cx7: $i > $o ).

tff(decl_30,type,
    ca_Cx8: $i > $o ).

tff(decl_31,type,
    ca_Cx6: $i > $o ).

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

tff(decl_33,type,
    ca_Cx1: $i > $o ).

tff(decl_34,type,
    cb: $i > $o ).

tff(decl_35,type,
    ra_Px3: ( $i * $i ) > $o ).

tff(decl_36,type,
    ccxcomp: $i > $o ).

tff(decl_37,type,
    cbxcomp: $i > $o ).

tff(decl_38,type,
    cc: $i > $o ).

tff(decl_39,type,
    ra_Px2: ( $i * $i ) > $o ).

tff(decl_40,type,
    ra_Px1: ( $i * $i ) > $o ).

tff(decl_41,type,
    ca_Cx1xcomp: $i > $o ).

tff(decl_42,type,
    ra_Px6: ( $i * $i ) > $o ).

tff(decl_43,type,
    ca_Cx6xcomp: $i > $o ).

tff(decl_44,type,
    ra_Px7: ( $i * $i ) > $o ).

tff(decl_45,type,
    ca_Cx7xcomp: $i > $o ).

tff(decl_46,type,
    ra_Px8: ( $i * $i ) > $o ).

tff(decl_47,type,
    ca_Cx8xcomp: $i > $o ).

tff(decl_48,type,
    i2003_11_14_17_20_50869: $i ).

tff(decl_49,type,
    esk1_1: $i > $i ).

tff(decl_50,type,
    esk2_1: $i > $i ).

tff(decl_51,type,
    esk3_1: $i > $i ).

tff(decl_52,type,
    esk4_1: $i > $i ).

tff(decl_53,type,
    esk5_1: $i > $i ).

tff(decl_54,type,
    esk6_1: $i > $i ).

tff(decl_55,type,
    esk7_1: $i > $i ).

tff(decl_56,type,
    esk8_1: $i > $i ).

tff(decl_57,type,
    esk9_1: $i > $i ).

tff(decl_58,type,
    esk10_1: $i > $i ).

tff(decl_59,type,
    esk11_1: $i > $i ).

tff(decl_60,type,
    esk12_1: $i > $i ).

tff(decl_61,type,
    esk13_1: $i > $i ).

tff(decl_62,type,
    esk14_1: $i > $i ).

fof(axiom_10,axiom,
    ! [X1] :
      ( ccxcomp(X1)
    <=> ~ ? [X2] : ra_Px2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(axiom_9,axiom,
    ! [X1] :
      ( cc(X1)
    <=> ? [X3] : ra_Px2(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(axiom_11,axiom,
    ! [X1] :
      ( ca_Cx1(X1)
    <=> ( cbxcomp(X1)
        & ccxcomp(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(axiom_5,axiom,
    ! [X1] :
      ( ca(X1)
     => ca_Cx1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_21,axiom,
    ! [X1] :
      ( ca_Cx8xcomp(X1)
    <=> ? [X3] : ra_Px8(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(axiom_20,axiom,
    ! [X1] :
      ( ca_Cx8(X1)
    <=> ~ ? [X2] : ra_Px8(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(axiom_22,axiom,
    ! [X1] :
      ( ca_Cx8xcomp(X1)
    <=> ( cc(X1)
        & cb(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

fof(axiom_18,axiom,
    ! [X1] :
      ( ca_Cx7xcomp(X1)
    <=> ( cc(X1)
        & ca(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
    <=> ~ ? [X2] : ra_Px5(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_4,axiom,
    ! [X1] :
      ( cUnsatisfiablexcomp(X1)
    <=> ? [X3] : ra_Px5(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_8,axiom,
    ! [X1] :
      ( cbxcomp(X1)
    <=> ~ ? [X2] : ra_Px3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(axiom_6,axiom,
    ! [X1] :
      ( cb(X1)
    <=> ? [X3] : ra_Px3(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_3,axiom,
    ! [X1] :
      ( cUnsatisfiablexcomp(X1)
    <=> ( ca_Cx7(X1)
        & ca_Cx8(X1)
        & ca_Cx6(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_7,axiom,
    ! [X1] :
      ( cb(X1)
     => ccxcomp(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_19,axiom,
    ! [X1] :
      ( ca_Cx7xcomp(X1)
    <=> ~ ? [X2] : ra_Px7(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(axiom_16,axiom,
    ! [X1] :
      ( ca_Cx6xcomp(X1)
    <=> ? [X3] : ra_Px6(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

fof(axiom_14,axiom,
    ! [X1] :
      ( ca_Cx6(X1)
    <=> ~ ? [X2] : ra_Px6(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(axiom_15,axiom,
    ! [X1] :
      ( ca_Cx6xcomp(X1)
    <=> ( ca(X1)
        & cb(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(axiom_17,axiom,
    ! [X1] :
      ( ca_Cx7(X1)
    <=> ? [X3] : ra_Px7(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(axiom_23,axiom,
    cUnsatisfiable(i2003_11_14_17_20_50869),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

fof(c_0_20,plain,
    ! [X29,X30,X31] :
      ( ( ~ ccxcomp(X29)
        | ~ ra_Px2(X29,X30) )
      & ( ra_Px2(X31,esk6_1(X31))
        | ccxcomp(X31) ) ),
    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_21,plain,
    ! [X25,X27,X28] :
      ( ( ~ cc(X25)
        | ra_Px2(X25,esk5_1(X25)) )
      & ( ~ ra_Px2(X27,X28)
        | cc(X27) ) ),
    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])])])])]) ).

fof(c_0_22,plain,
    ! [X33] :
      ( ( cbxcomp(X33)
        | ~ ca_Cx1(X33) )
      & ( ccxcomp(X33)
        | ~ ca_Cx1(X33) )
      & ( ~ cbxcomp(X33)
        | ~ ccxcomp(X33)
        | ca_Cx1(X33) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])]) ).

fof(c_0_23,plain,
    ! [X15] :
      ( ~ ca(X15)
      | ca_Cx1(X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).

fof(c_0_24,plain,
    ! [X64,X66,X67] :
      ( ( ~ ca_Cx8xcomp(X64)
        | ra_Px8(X64,esk14_1(X64)) )
      & ( ~ ra_Px8(X66,X67)
        | ca_Cx8xcomp(X66) ) ),
    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_21])])])])]) ).

fof(c_0_25,plain,
    ! [X60,X61,X62] :
      ( ( ~ ca_Cx8(X60)
        | ~ ra_Px8(X60,X61) )
      & ( ra_Px8(X62,esk13_1(X62))
        | ca_Cx8(X62) ) ),
    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_20])])])])]) ).

cnf(c_0_26,plain,
    ( ~ ccxcomp(X1)
    | ~ ra_Px2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( ra_Px2(X1,esk5_1(X1))
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_28,plain,
    ! [X68] :
      ( ( cc(X68)
        | ~ ca_Cx8xcomp(X68) )
      & ( cb(X68)
        | ~ ca_Cx8xcomp(X68) )
      & ( ~ cc(X68)
        | ~ cb(X68)
        | ca_Cx8xcomp(X68) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_22])])]) ).

cnf(c_0_29,plain,
    ( ccxcomp(X1)
    | ~ ca_Cx1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( ca_Cx1(X1)
    | ~ ca(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_31,plain,
    ! [X55] :
      ( ( cc(X55)
        | ~ ca_Cx7xcomp(X55) )
      & ( ca(X55)
        | ~ ca_Cx7xcomp(X55) )
      & ( ~ cc(X55)
        | ~ ca(X55)
        | ca_Cx7xcomp(X55) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])])]) ).

fof(c_0_32,plain,
    ! [X6,X7,X8] :
      ( ( ~ cUnsatisfiable(X6)
        | ~ ra_Px5(X6,X7) )
      & ( ra_Px5(X8,esk1_1(X8))
        | cUnsatisfiable(X8) ) ),
    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_33,plain,
    ! [X11,X13,X14] :
      ( ( ~ cUnsatisfiablexcomp(X11)
        | ra_Px5(X11,esk2_1(X11)) )
      & ( ~ ra_Px5(X13,X14)
        | cUnsatisfiablexcomp(X13) ) ),
    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_34,plain,
    ( ca_Cx8xcomp(X1)
    | ~ ra_Px8(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    ( ra_Px8(X1,esk13_1(X1))
    | ca_Cx8(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    ( ~ cc(X1)
    | ~ ccxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_37,plain,
    ( cc(X1)
    | ~ ca_Cx8xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    ( ccxcomp(X1)
    | ~ ca(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,plain,
    ( ca(X1)
    | ~ ca_Cx7xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_40,plain,
    ! [X21,X22,X23] :
      ( ( ~ cbxcomp(X21)
        | ~ ra_Px3(X21,X22) )
      & ( ra_Px3(X23,esk4_1(X23))
        | cbxcomp(X23) ) ),
    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_41,plain,
    ! [X16,X18,X19] :
      ( ( ~ cb(X16)
        | ra_Px3(X16,esk3_1(X16)) )
      & ( ~ ra_Px3(X18,X19)
        | cb(X18) ) ),
    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])])])])]) ).

cnf(c_0_42,plain,
    ( ~ cUnsatisfiable(X1)
    | ~ ra_Px5(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_43,plain,
    ( ra_Px5(X1,esk2_1(X1))
    | ~ cUnsatisfiablexcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_44,plain,
    ! [X10] :
      ( ( ca_Cx7(X10)
        | ~ cUnsatisfiablexcomp(X10) )
      & ( ca_Cx8(X10)
        | ~ cUnsatisfiablexcomp(X10) )
      & ( ca_Cx6(X10)
        | ~ cUnsatisfiablexcomp(X10) )
      & ( ~ ca_Cx7(X10)
        | ~ ca_Cx8(X10)
        | ~ ca_Cx6(X10)
        | cUnsatisfiablexcomp(X10) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).

fof(c_0_45,plain,
    ! [X20] :
      ( ~ cb(X20)
      | ccxcomp(X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).

cnf(c_0_46,plain,
    ( cb(X1)
    | ~ ca_Cx8xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_47,plain,
    ( ca_Cx8xcomp(X1)
    | ca_Cx8(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_48,plain,
    ( ~ ca_Cx8xcomp(X1)
    | ~ ccxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_49,plain,
    ! [X56,X57,X58] :
      ( ( ~ ca_Cx7xcomp(X56)
        | ~ ra_Px7(X56,X57) )
      & ( ra_Px7(X58,esk12_1(X58))
        | ca_Cx7xcomp(X58) ) ),
    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_19])])])])]) ).

cnf(c_0_50,plain,
    ( cc(X1)
    | ~ ca_Cx7xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_51,plain,
    ( ccxcomp(X1)
    | ~ ca_Cx7xcomp(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_52,plain,
    ! [X47,X49,X50] :
      ( ( ~ ca_Cx6xcomp(X47)
        | ra_Px6(X47,esk10_1(X47)) )
      & ( ~ ra_Px6(X49,X50)
        | ca_Cx6xcomp(X49) ) ),
    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_16])])])])]) ).

fof(c_0_53,plain,
    ! [X42,X43,X44] :
      ( ( ~ ca_Cx6(X42)
        | ~ ra_Px6(X42,X43) )
      & ( ra_Px6(X44,esk9_1(X44))
        | ca_Cx6(X44) ) ),
    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_14])])])])]) ).

cnf(c_0_54,plain,
    ( ~ cbxcomp(X1)
    | ~ ra_Px3(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_55,plain,
    ( ra_Px3(X1,esk3_1(X1))
    | ~ cb(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_56,plain,
    ! [X46] :
      ( ( ca(X46)
        | ~ ca_Cx6xcomp(X46) )
      & ( cb(X46)
        | ~ ca_Cx6xcomp(X46) )
      & ( ~ ca(X46)
        | ~ cb(X46)
        | ca_Cx6xcomp(X46) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])])]) ).

cnf(c_0_57,plain,
    ( ~ cUnsatisfiablexcomp(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_58,plain,
    ( cUnsatisfiablexcomp(X1)
    | ~ ca_Cx7(X1)
    | ~ ca_Cx8(X1)
    | ~ ca_Cx6(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_59,plain,
    ( ccxcomp(X1)
    | ~ cb(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_60,plain,
    ( cb(X1)
    | ca_Cx8(X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_61,plain,
    ( ca_Cx8(X1)
    | ~ ccxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_47]) ).

fof(c_0_62,plain,
    ! [X51,X53,X54] :
      ( ( ~ ca_Cx7(X51)
        | ra_Px7(X51,esk11_1(X51)) )
      & ( ~ ra_Px7(X53,X54)
        | ca_Cx7(X53) ) ),
    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_17])])])])]) ).

cnf(c_0_63,plain,
    ( ra_Px7(X1,esk12_1(X1))
    | ca_Cx7xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_64,plain,
    ~ ca_Cx7xcomp(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_50]),c_0_51]) ).

cnf(c_0_65,plain,
    ( ca_Cx6xcomp(X1)
    | ~ ra_Px6(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_66,plain,
    ( ra_Px6(X1,esk9_1(X1))
    | ca_Cx6(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_67,plain,
    ( ~ cbxcomp(X1)
    | ~ cb(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_68,plain,
    ( cb(X1)
    | ~ ca_Cx6xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_69,plain,
    ( ~ ca_Cx6(X1)
    | ~ ca_Cx8(X1)
    | ~ ca_Cx7(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_70,plain,
    ca_Cx8(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_71,plain,
    ( ca_Cx7(X1)
    | ~ ra_Px7(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_72,plain,
    ra_Px7(X1,esk12_1(X1)),
    inference(sr,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_73,plain,
    ( cbxcomp(X1)
    | ~ ca_Cx1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_74,plain,
    ( ca(X1)
    | ~ ca_Cx6xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_75,plain,
    ( ca_Cx6xcomp(X1)
    | ca_Cx6(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_76,plain,
    ( ~ ca_Cx6xcomp(X1)
    | ~ cbxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_77,plain,
    ( ~ ca_Cx6(X1)
    | ~ ca_Cx7(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).

cnf(c_0_78,plain,
    ca_Cx7(X1),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_79,plain,
    ( cbxcomp(X1)
    | ~ ca(X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_30]) ).

cnf(c_0_80,plain,
    ( ca(X1)
    | ca_Cx6(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_81,plain,
    ( ca_Cx6(X1)
    | ~ cbxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_75]) ).

cnf(c_0_82,plain,
    ( ~ ca_Cx6(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).

cnf(c_0_83,plain,
    ca_Cx6(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).

cnf(c_0_84,plain,
    cUnsatisfiable(i2003_11_14_17_20_50869),
    inference(split_conjunct,[status(thm)],[axiom_23]) ).

cnf(c_0_85,plain,
    ~ cUnsatisfiable(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).

cnf(c_0_86,plain,
    $false,
    inference(sr,[status(thm)],[c_0_84,c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.36  % Computer : n031.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Aug 28 01:50:24 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.22/0.63  start to proof: theBenchmark
% 0.22/0.65  % Version  : CSE_E---1.5
% 0.22/0.65  % Problem  : theBenchmark.p
% 0.22/0.65  % Proof found
% 0.22/0.65  % SZS status Theorem for theBenchmark.p
% 0.22/0.65  % SZS output start Proof
% See solution above
% 0.22/0.66  % Total time : 0.014000 s
% 0.22/0.66  % SZS output end Proof
% 0.22/0.66  % Total time : 0.017000 s
%------------------------------------------------------------------------------